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Transformation de Mellin: aspects numériques et dérivation fractionnaire. Application aux lois des variables aléatoires positives.

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HAL Id: hal-00945248

https://hal.inria.fr/hal-00945248

Submitted on 24 Mar 2014

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Transformation de Mellin: aspects numériques et

dérivation fractionnaire. Application aux lois des

variables aléatoires positives.

Roland Badeau

To cite this version:

Roland Badeau. Transformation de Mellin: aspects numériques et dérivation fractionnaire.

Applica-tion aux lois des variables aléatoires positives.. [Rapport de recherche] 1999. �hal-00945248�

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❆✭❇❉❈❋❊❍●❁■❑❏✭❊❉■☎▲▼❊▼◆

(3)

✔ ✕✗✖✙✘✛✚✜✖✙✢✝✣✥✤✧✦★✖✙✣✪✩✤✧✖✧✫✭✬✮✚✥✘✛✤✧✦✰✯✱✬✮✦✲✚✳✫✛✚✵✴✶✤✧✦ ✷ ✸ ✹✮✺✼✻✼✽✿✾❁❀❂✺✼✻❃✽✿❄❆❅❇❄❆✽✿✾❉❈ ❊ ❅✿❀●❋❍✾❁❀●■❉❏ ❊❑❊ ✾▲✽✪❏✶▼◆❏P❖❂❄✙✻❆✾❁❋❘◗ ❊ ❋ ❊ ✽✿✺✼✻✼◗ ❊❙❊ ❋❁❚❱❯ ❊ ✽ ❊ ❲ ❳❩❨❬❳ ❭❉❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢▲❫✭❣❴❤✐❞❡❵▲❥❧❦♥♠❙❦♣♦q♦✐❤❬❵ ❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ t ❳❩❨✈✉ ✇❆❞✪❵✪①♣❣❴❤✐❞❡❵②①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦r❥❧❦r❛❴❦♣①♣❞✪❵✪❥❧❦s❦♣❛⑩⑨✙❶❦♣①♣❦r❥✼❷✈⑦❧❵✪❦s♦✐❞✛❤✼❥❧❦✎⑨❧❪❝❞❡❸❧❫✛❸✪❤✐♦✐❤✐❣❧④❦✎⑨❧❞✛❛③❤q❣③❤q❹❩❦ ❨ ❳✛❳ ❳❩❨✈❺ ❻✝❪⑤❞❡⑨❧❪❝❤⑩④❦♣❣❧④❦♣❛❱❥❧❦r♦❼❫✗❜✵❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫✛❪❴❫✭①♣❣⑧④❦❁❪❝❤✐❛❴❣③❤q⑥❧⑦✪❦❽❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳✛❳ ❳✛❨✈❺❾❨❬❳ ❿➀❪❝❤✐❣❍❶❦❁❪❝❦➁❥✼❷➂❤❬❵✪❥❱④❦❁⑨❾❦❁❵✪❥❆❫✛❵✪①♣❦✎❥❧❦♣❛✱❹✲❫❩❪❝❤❬❫✛❸✪♦✐❦♣❛s❫✿♦⑩④❦❁❫✿❣❴❞❩❤❼❪⑤❦♣❛➃⑨❾❞✛❛❴❤✐❣❴❤✐❹✛❦♣❛➄❨♥❨r❨r❨s❨r❨r❨s❨ ❳✛❳ ❳✛❨✈❺❾❨✈✉ ❻➅❪❝❞✪❥❆⑦✪❤q❣➀❥❧❦s❹✲❫❩❪❝❤❬❫✛❸✪♦✐❦♣❛➆❫✿♦➇④❦❁❫✿❣❴❞✛❤❬❪❝❦♣❛➈⑨❾❞✛❛❴❤✐❣❴❤✐❹✛❦♣❛➁❤❬❵✪❥➉④❦❁⑨❧❦❁❵✪❥❆❫❩❵✛❣❴❦♣❛②❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁✉ ❳✛❨✈❺❾❨✈❺ ➊➃❦♣♦❼❫✭❣❴❤✐❞❡❵▲❦❁❵❩❣⑩❪❝❦❱♦✐❦♣❛➅❜➋❞✪❵✪①♣❣❴❤✐❞❡❵✪❛✝①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦♣❛➌❥❧❦➈⑨❧❪⑤❦❁❢✎❤➋❶❦❁❪❝❦✱❦♣❣➌❛③❦♣①♣❞❡❵✪❥❧❦➈❦♣❛➇⑨➍❶❦♣①♣❦➄❳❁✉ ❳✛❨✈❺❾❨➂➎ ❿➀❫✛❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛⑩❫✿❣❴❤✐❞❡❵✗❥❧❦♣❛➈♦✐❞✛❤✐❛➁❥❧❦♣❛➈❹✿❫✛❪❝❤❬❫✛❸✪♦✐❦♣❛➆❫✭♦⑩④❦❁❫✿❣❴❞✛❤❬❪❝❦♣❛✱⑨❾❞✛❛❴❤✐❣❴❤✐❹✛❦♣❛❃❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁❺ ❳✛❨✈❺❾❨✈➏ ➐➀❞✛♦✐❞❡❢✎❞✪❪❴⑨❧➑✪❤✐❦s❥❧❦r♦❬❫✎❜✵❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦r❥❧❦♥❛❴❦♣①♣❞❡❵✪❥❧❦♥❦♣❛⑩⑨➍❶❦♣①♣❦➒❨s❨r❨r❨s❨ ❳❁❺ ❳✛❨✈❺❾❨✈➓ ➔➣→❡❤✐❛❴❣③❦❁❵✪①♣❦s❥✼❷✈⑦❧❵✪❦♥❥❧❦❁❵✪❛❴❤✐❣⑧④❦r❥❧❦s⑨❧❪❝❞✪❸❧❫✛❸✪❤✐♦q❤✐❣❧④❦↔❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁❺ ❳❩❨➂➎ ❿✱⑦❧❢✎⑦✪♦❬❫✛❵❩❣❴❛✱❥❧❦s❛③❦♣①♣❞❡❵✪❥❧❦s❦♣❛⑩⑨✙❶❦♣①♣❦r❥✼❷✈⑦❧❵✪❦s♦✐❞✛❤✮❥❧❦s⑨❧❪❝❞❡❸❧❫✛❸✪❤✐♦✐❤✐❣⑧④❦✎⑨❧❞✛❛❴❤✐❣❴❤✐❹✛❦↕❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳♣➎ ❳❩❨✈➏ ♠❙❞✿➙✛❦❁❵❧❵✪❦r➛➌④❦♣❞✪❢➜④❦♣❣⑩❪⑤❤q⑥❧⑦✪❦➁❥❧❦r❹✲❫✛❪❝❤❬❫✛❸✪♦✐❦♣❛s❫✿♦➇④❦❁❫✿❣❴❞✛❤❬❪❝❦♣❛✱⑨❧❞❩❛❴❤✐❣❴❤✐❹✛❦♣❛➈❤❬❵✪❥❱④❦❁⑨❧❦❁❵✪❥❆❫✛❵❩❣❴❦♣❛✌❨s❨r❨r❨s❨ ❳❁➏ ❳✛❨✈➏❾❨❬❳ ➝❙④❦➇➞➍❵✪❤✐❣❴❤✐❞❡❵✓❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁➏ ❳✛❨✈➏❾❨✈✉ ✇✧❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦➟❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁➓ ❳✛❨✈➏❾❨✈❺ ❿➀⑦❧❢➠⑦✪♦❬❫✛❵❩❣❴❛ ❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁➓ ➡ ➢➀➤ ❊ ▼➥❚❉❖ ❊ ❋▲◗ ❊ ❖❂✺➍❀➦❋❘◗ ❊ ❚❉❅❁✺✙➧✼❄❆➧❉❀➦❖●❀❂✾✶❈ ❊ ❋✿❏✼❅❘➨r➩➫ ✸✧➭ ✉❾❨❬❳ ➝r❤✐❛❴❣⑩❪❝❤❬❸❧⑦✪❣❴❤✐❞❡❵➯♦✐❞✛➛❡❵✪❞✪❪❴❢▲❫✿♦✐❦➲❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁➳ ✉❧❨❬❳❩❨❬❳ ➝❙④❦➇➞➍❵✪❤✐❣❴❤✐❞❡❵✓❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁➳ ✉❧❨❬❳❩❨✈✉ ✇✧❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦➟❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁➵ ✉❧❨❬❳❩❨✈❺ ❿➀⑦❧❢➠⑦✪♦❬❫✛❵❩❣❴❛ ❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁t ✉❧❨❬❳❩❨➂➎ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❧❦♣❛➈⑨❧❫✛❪❴❫✛❢②❶❦♣❣⑩❪❝❦♣❛✱➸❘❦♣❣➈➺✮➻r⑨❧❫✛❪❱♦❬❫▲❢➼④❦♣❣⑩➑✪❞❡❥❧❦r❥❧❦♣❛➀①❁⑦❧❢➠⑦✪♦❬❫✛❵❩❣❴❛②❨r❨s❨ ❳❁t ✉❧❨❬❳❩❨✈➏ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵➽❥❧❦♣❛➾⑨❧❫❩❪❴❫✛❢②❶❦♣❣⑩❪❝❦♣❛✰➸➚❦♣❣②➺ ➻ ⑨❧❫✛❪❘♦✐❦❑⑨❧❪❝❤❬❵✪①♣❤❬⑨❧❦➽❥❆⑦✌❢▲❫✿→✪❤❬❢✎⑦❧❢➒❥❧❦ ❹❧❪❴❫✿❤✐❛❴❦❁❢✎❸✪♦❬❫✛❵✪①♣❦②❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❳❁t ✉❧❨❬❳❩❨✈➓ ➔➣❣⑩⑦✪❥❧❦r❥❧❦s♦✵❷➂❦♣❛③❣❴❤❬❢▲❫✿❣❴❦❁⑦❧❪➆➪➸ ❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛➶ ✉❾❨✈✉ ➝r❤✐❛❴❣⑩❪❝❤❬❸❧⑦✪❣❴❤✐❞❡❵➯❦♣→❧⑨❧❞❡❵✪❦❁❵❩❣❴❤✐❦♣♦✐♦✐❦➹❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉❧❳ ✉❧❨✈✉❾❨❬❳ ➝❙④❦➇➞➍❵✪❤✐❣❴❤✐❞❡❵✓❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉❧❳ ✉❧❨✈✉❾❨✈✉ ✇✧❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦➟❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛✉ ✉❧❨✈✉❾❨✈❺ ❿➀⑦❧❢➠⑦✪♦❬❫✛❵❩❣❴❛ ❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛✉ ✉❧❨✈✉❾❨➂➎ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❆⑦★⑨❧❫✛❪❴❫❩❢➘❶❦♣❣⑩❪⑤❦✱➴✼➷s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛✉ ✉❾❨✈❺ ➝r❤✐❛❴❣⑩❪❝❤❬❸❧⑦✪❣❴❤✐❞❡❵❙➬♥❫✛❢▲❢▲❫➮❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛✉ ✉❧❨✈❺❾❨❬❳ ➝❙④❦➇➞➍❵✪❤✐❣❴❤✐❞❡❵✓❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛✉ ✉❧❨✈❺❾❨✈✉ ✇✧❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦➟❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛❺ ✉❧❨✈❺❾❨✈❺ ❿➀⑦❧❢➠⑦✪♦❬❫✛❵❩❣❴❛ ❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛❺ ✉❧❨✈❺❾❨➂➎ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❧❦♣❛➈⑨❧❫✛❪❴❫✛❢②❶❦♣❣⑩❪❝❦♣❛❱➴ ➷ ❦♣❣➈➱➚⑨❧❫✛❪❱♦❬❫✰❢➼④❦♣❣⑩➑✪❞✪❥❧❦➈❥❧❦♣❛➁①❁⑦❧❢✎⑦✪♦❬❫✛❵✛❣③❛➈❨r❨s❨ ✉✿➎

(4)

❹❧❪❴❫✿❤✐❛❴❦❁❢✎❸✪♦❬❫✛❵✪①♣❦②❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✿➎ ✉❾❨➂➎ ➝r❤✐❛❴❣⑩❪❝❤❬❸❧⑦✪❣❴❤✐❞❡❵❙➬♥❫✛❢▲❢▲❫✎❢✎⑦✪♦✐❣❴❤❬⑨✪♦q❤✐①❁❫✿❣③❤q❹❩❦ ❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛➏ ✉❧❨➂➎✧❨❬❳ ➝❙④❦➇➞➍❵✪❤✐❣❴❤✐❞❡❵✓❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛➏ ✉❧❨➂➎✧❨✈✉ ✇✧❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦➟❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛➓ ✉❧❨➂➎✧❨✈❺ ❿➀⑦❧❢➠⑦✪♦❬❫✛❵❩❣❴❛ ❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛➓ ✉❧❨➂➎✧❨➂➎ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❧❦♣❛➈⑨❧❫✛❪❴❫✛❢②❶❦♣❣⑩❪❝❦♣❛❱➴✼➷➁❦♣❣➈➱ ❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛➳ ✉❧❨➂➎✧❨✈➏ ➔➣❣⑩⑦✪❥❧❦r❥❧❦s♦✵❷➂❦♣❛③❣❴❤❬❢▲❫✿❣❴❦❁⑦❧❪ ➴ ➷ ❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛➳ ✉❧❨➂➎✧❨✈➓ ✁r⑨❧⑨✪♦✐❤✐①❁❫✿❣❴❤✐❞❡❵➽❶❫✎♦❬❫▲❪✪④❦♣❥❆⑦✪①♣❣❴❤✐❞❡❵❘❥❆⑦②①♣➑❧❫✿❣❴❞✛❤✐❦❁❢✎❦❁❵❩❣✰❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ✉✛➵ ✂ ✄♥✺✼✻✆☎ ❊ ❅✞✝ ❊ ✻✼✽ ❊ ◗ ❊ ❋ ❚✶❅❇✺✼◗➌❏✼❀❂✾❁❋✰◗ ❊ ☎❧❄❆❅✿❀❂❄❆➧✶❖ ❊ ❋ ❄❆❖✿❈ ❊ ❄❧✾♣✺✙❀●❅ ❊ ❋②❚❉✺➍❋❁❀❂✾❁❀✟☎ ❊ ❋❘❀✵✻✼◗✎❈ ❊ ❚ ❊ ✻P◗✮❄✙✻❆✾ ❊ ❋ ✂✡✠ ❺❾❨❬❳ ❿❱❞❡❵❩❹✛❦❁❪❝➛❩❦❁❵✪①♣❦r❦❁❵②♦✐❞✛❤➄❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺✛➶ ❺❧❨❬❳❩❨❬❳ ➊➀❫✛⑨❧⑨❧❦♣♦☞☛✧❥➉④❦➇➞➍❵✪❤✐❣❴❤✐❞❡❵ ❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺✛➶ ❺❧❨❬❳❩❨✈✉ ➔➣⑥⑧⑦✪❤✐❹✿❫✿♦✐❦❁❵✪①♣❦➈❦❁❵❩❣⑩❪❝❦✱♦❬❫➁①♣❞❡❵❩❹✛❦❁❪❝➛❩❦❁❵✪①♣❦✱❦❁❵✎♦✐❞✛❤❧❥❧❦✱♦❬❫➁❛⑩⑦✪❤✐❣❴❦✍✌✏✎✒✑✔✓ ✑✖✕✘✗ ❦♣❣➅♦❼❫➁①♣❞✪❵✛❹✛❦❁❪✚✙ ➛❩❦❁❵✪①♣❦r❦❁❵②♦✐❞✛❤✼❥❧❦♥♦❼❫✗❛⑩⑦✪❤✐❣❴❦✛✌➦♦❬❵✜✎ ✑ ✓ ✑✢✕✣✗ ❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺✛➶ ❺❧❨❬❳❩❨✈❺ ❿➀❪❝❤✐❣❍❶❦❁❪❝❦➁❥❧❦s①♣❞✪❵✛❹✛❦❁❪⑤➛✛❦❁❵✪①♣❦r❦❁❵②♦✐❞✛❤ ❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺❧❳ ❺❾❨✈✉ ❭✱➑➅④❦♣❞❡❪♣❶❦❁❢✗❦✱❥❧❦s♦❬❫ ♦q❤❬❢✎❤✐❣❴❦♥①♣❦❁❵✛❣➇❪❴❫✿♦✐❦ ❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺❧❳ ❺❧❨✈✉❾❨❬❳ ❭➀➑✝④❦♣❞❡❪♣❶❦❁❢✎❦✌❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺❧❳ ❺❧❨✈✉❾❨✈✉ ➝❙④❦❁❢✎❞❡❵✪❛❴❣➇❪❴❫✿❣❴❤✐❞❡❵➒❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺✛✉ ❺❾❨✈❺ ❭✱➑➅④❦♣❞❡❪♣❶❦❁❢✗❦✱❥❧❦s♦❬❫ ♦q❤❬❢✎❤✐❣❴❦♥♦✐❞❡①❁❫✿♦✐❦★❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺✛✉ ❺❧❨✈❺❾❨❬❳ ❭➀➑✝④❦♣❞❡❪♣❶❦❁❢✎❦✌❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺✛✉ ❺❧❨✈❺❾❨✈✉ ➝❙④❦❁❢✎❞❡❵✪❛❴❣➇❪❴❫✿❣❴❤✐❞❡❵➒❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺✛✉ ✔✛✔ ✤➈✘❩✖✘✥➅✦✧✦③✬✮✘✢★➄✖✧✫✛✚✥✬✩✥✫✪✝✤✭✬ ✤❆✣✜✣✥✚✮✥✯✥✱✰✲★✄✩✤❆✘❩✚✴✳✵✰✝✤ ✶✩✷ ✸ ➢➁✽✖✹➍❄✙✻✧✾❁❀●❖➦❖❬✺✮✻✶✻✙❄✺✝ ❊➼❊ ✾▲✾❁❅❇❄✙✻P❋✧✻✥✺➍❅❩▼❙❄❧✾❁❀❬✺✮✻✌✻✼❏✶▼ ❈ ❊ ❅✲❀➦■❉❏ ❊ ✂✡✼ ➎✧❨❬❳ ➔➌①♣➑❧❫✛❵❩❣❴❤✐♦✐♦q❞✪❵❧❵❧❫✿➛✛❦✎❥✼❷✈⑦❧❵✪❦➁❜✵❞❡❵✪①♣❣❴❤✐❞❡❵②❥❱④❦➇➞➍❵✪❤✐❦s❛⑩⑦❧❪ ➨ ➩➫ ❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ❺✛➳ ➎❆❨❬❳❩❨❬❳ ♠❑⑦✪♦✐❣❴❤❬⑨✪♦✐❤✐①❁❫✿❣❴❤✐❞❡❵➯❥✱④✥⑦❧❵✪❦r❜✵❞❡❵✪①♣❣❴❤✐❞❡❵➯⑨❧❫✛❪✱⑦❧❵②⑨❾❦♣❤q➛✪❵✪❦➠❥❧❦♥➝r❤❬❪❴❫✿①r➛➌④❦♣❞❡❢➼④❦♣❣➇❪❝❤✐⑥⑧⑦✪❦ ❨s❨ ❺✛➳ ➎❆❨❬❳❩❨✈✉ ❭➀➑✝④❦♣❞❡❪♣❶❦❁❢✎❦✱❥❧❦✎❪❝❦♣①♣❞❡❵✪❛❴❣⑩❪③⑦✪①♣❣❴❤✐❞❡❵❘❥✱④✥⑦❧❵✪❦r❜✵❞❡❵✪①♣❣❴❤✐❞❡❵❑❶❫ ⑨❧❫✛❪❝❣❴❤❬❪❱❥❧❦♥❛❴❦♣❛②④❦♣①♣➑❧❫✛❵❩❣❴❤✐♦✐♦q❞✪❵✪❛ ❺✛➵ ➎✧❨✈✉ ➔➌①♣➑❧❫✛❵❩❣❴❤✐♦✐♦q❞✪❵❧❵❧❫✿➛✛❦✎❥❧❦r♦❬❫▲❣⑩❪③❫✛❵✪❛❝❜✵❞❡❪❴❢➼④❦♣❦✱❥❧❦s♠❙❦♣♦✐♦✐❤❼❵ ❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➎❡➶ ➎❆❨✈✉❾❨❬❳ ♠❑⑦✪♦✐❣❴❤❬⑨✪♦✐❤✐①❁❫✿❣❴❤✐❞❡❵➯❥❧❦➈♦❬❫✎❣➇❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢➼④❦♣❦➈⑨❧❫✛❪❱⑦❧❵②⑨❧❦♣❤✐➛❡❵✪❦r❥❧❦r➝r❤❬❪❴❫✭①r❛⑩⑦❧❪➅♦ ④✜❫✿→❡❦r❤❬❢▲❫✽✙ ➛❩❤❼❵❧❫✭❤❼❪⑤❦➾❨♥❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➎❆❳ ➎❆❨✈✉❾❨✈✉ ❭➀➑✝④❦♣❞❡❪♣❶❦❁❢✎❦❱❥❧❦➆❪⑤❦♣①♣❞❡❵✪❛❴❣⑩❪❴⑦✪①♣❣③❤q❞✪❵▲❥❧❦➁♦❬❫s❣➇❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢➼④❦♣❦s❶❫s⑨❧❫✛❪❝❣③❤❼❪➅❥❧❦➁❛❴❦♣❛✰④❦♣①♣➑❧❫✛❵❩❣❴❤✐♦q♦✐❞❡❵✪❛➼➎❡✉ ➎✧❨✈❺ ❭❉❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢▲❫✭❣❴❤✐❞❡❵▲❥❧❦♥♠❙❦♣♦q♦✐❤❬❵❙❵❡⑦❧❢➼④❦❁❪❝❤✐⑥❧⑦✪❦ ❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➎❡✉ ➎❆❨✈❺❾❨❬❳ ➝❙④❦➇➞➍❵✪❤✐❣❴❤✐❞❡❵✓❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➎❡✉ ➎❆❨✈❺❾❨✈✉ ✁➁♦✐➛✛❞❡❪❝❤✐❣⑩➑❧❢✗❦♣❛✱❥❧❦s①❁❫✿♦✐①❁⑦✪♦➌❪❴❫✛⑨✪❤✐❥❧❦ ❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➎❡➏ ✾ ✿②❚❉❚❉❅❁✺❧➤❉❀✵▼❙❄❧✾❁❀❬✺✮✻ ◗ ❊ ❖❬❄➼✾❁❅❇❄✙✻P❋✧✻✥✺➍❅❩▼ ❈ ❊❡❊ ◗ ❊❁❀➮❊ ❖●❖➦❀✳✻ ❄✙✻✙❄❆❖❂✺✆✝➍❀➦■❉❏ ❊ ❚✮❄❆❅②❖❂❄➜✾❁❅❇❄✙✻✼❋❂✻✥✺✙❅❩▼ ❈ ❊✪❊ ◗ ❊❃❀➮❊ ❖➦❖●❀✳✻➄✻✼❏❉▼ ❈ ❊ ❅✿❀●■ ❏ ❊ ✸✣❄ ➏❾❨❬❳ ✁r⑨❧⑨❧❪❝❞✿→❡❤❬❢▲❫✿❣③❤q❞✪❵②❥❧❦r♦❬❫▲❣➇❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢▲❫✭❣❴❤✐❞❡❵▲❥❧❤❬❪❝❦♣①♣❣③❦ ❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➎❡➵ ➏❧❨❬❳❩❨❬❳ ♠➮④❦♣❣⑩➑✪❞❡❥❧❦♥❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➎❡➵ ➏❧❨❬❳❩❨✈✉ ❭➀➑✝④❦♣❞❡❪♣❶❦❁❢✎❦✱❥❧❦♥①♣❞❡❵✛❹❩❦❁❪❝➛✛❦❁❵✪①♣❦ ❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➎❡t ➏❧❨❬❳❩❨✈❺ ➔➣→❡❦❁❢ ⑨✪♦q❦➯❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➏✛➶ ➏❾❨✈✉ ✁r⑨❧⑨❧❪❝❞✿→❡❤❬❢▲❫✿❣③❤q❞✪❵②❥❧❦r♦❬❫▲❣➇❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢▲❫✭❣❴❤✐❞❡❵▲❤❬❵❩❹✛❦❁❪❝❛❴❦ ❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➏✛➏ ➏❧❨✈✉❾❨❬❳ ♠➮④❦♣❣⑩➑✪❞❡❥❧❦♥❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➏✛➏ ➏❧❨✈✉❾❨✈✉ ❭➀➑✝④❦♣❞❡❪♣❶❦❁❢✎❦✱❥❧❦♥①♣❞❡❵✛❹❩❦❁❪❝➛✛❦❁❵✪①♣❦ ❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➏✛➏

(5)

➏❾❨✈❺ ❻✝❪⑤❞❡❸✪♦➋❶❦❁❢✎❦♣❛➈❵✪⑦❧❢➼④❦❁❪❝❤✐⑥⑧⑦✪❦♣❛↕❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➏✛➵ ➏❧❨✈❺❾❨❬❳ ➊➃❦♣❛❴❣⑩❪❝❤✐①♣❣❴❤✐❞❡❵✪❛➁❥❆⑦✪❦♣❛➆❫❩⑦✪→➘➑❩➙⑧⑨❾❞✛❣⑩➑✙❶❦♣❛❴❦♣❛❱❥❧❦s①♣❞❡❵❩❹✛❦❁❪❝➛✛❦❁❵✪①♣❦✓❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➏✛➵ ➏❧❨✈❺❾❨✈✉ ❣➇❫✛❸✪❤✐♦q❤✐❣❧④❦➠❵✪⑦❧❢➼④❦❁❪⑤❤q⑥❧⑦✪❦ ❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➏✛➵ ➏❧❨✈❺❾❨✈❺ ❻➅➑✝④❦❁❵✪❞❡❢②❶❦❁❵✪❦➁❥❧❦s➬r❤❬❸❧❸✪❛➠❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➏✛t ➏❧❨✈❺❾❨➂➎ ➊➃❦♣①♣❞❡⑦✪❹⑧❪⑤❦❁❢✎❦❁❵✛❣③❛ ❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➓✛➶ ✼ ➢➁❋♣✾❁❀✳▼❙❄❧✾❁❀❬✺✮✻✒◗ ❊ ❖❂❄➜◗ ❊ ✻✼❋❁❀❂✾✶❈ ❊❙❊ ✾✰◗ ❊ ❖❬❄ ✻✥✺✼✻✼✽✿✾❁❀❂✺✼✻✒✽✭❄❆❅❁❄❆✽✭✾✶❈ ❊ ❅✿❀➦❋♣✾❁❀➦■❉❏ ❊ ◗✂✁➦❏❉✻ ❊ ❖❬✺✙❀✱◗ ❊ ❚❉❅❁✺☎✄ ➧✮❄❆➧❉❀●❖➦❀❬✾❉❈ ❊ ✼P✸ ➓❾❨❬❳ ➔➌❛③❣❴❤❬❢▲❫✿❣❴❤✐❞❡❵✎❥❧❦➀♦❼❫ ❥❧❦❁❵✪❛❴❤✐❣❧④❦➀❥❧❦➈⑨❧❪❝❞❡❸❧❫✛❸✪❤✐♦✐❤✐❣❧④❦➁❦♣❣➌❥❧❦➁♦❼❫➆❜➋❞✪❵✪①♣❣❴❤✐❞❡❵✎①❁❫✛❪❴❫✭①♣❣⑧④❦❁❪❝❤✐❛❴❣③❤q⑥❧⑦✪❦✱⑨❧❫✛❪➌❥❧❦♣❛ ❢➼④❦♣❣⑩➑✪❞❡❥❧❦♣❛➀①♣♦❼❫✭❛❴❛❴❤✐⑥⑧⑦✪❦♣❛ ❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➓❧❳ ➓❧❨❬❳❩❨❬❳ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❧❦r♦❼❫ ❥❧❦❁❵✪❛❴❤✐❣❧④❦r❥❧❦➠⑨❧❪❝❞❡❸❧❫❩❸✪❤q♦✐❤✐❣❧④❦ ❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➓❧❳ ➓❧❨❬❳❩❨✈✉ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❧❦r♦❼❫✗❜✵❞❡❵✪①♣❣❴❤✐❞❡❵②①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦ ❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➓✛❺ ➓❾❨✈✉ ➔➌❛③❣❴❤❬❢▲❫✿❣❴❤✐❞❡❵ ❥❧❦✝♦❬❫✱❥❧❦❁❵✪❛③❤q❣❧④❦✝❥❧❦✱⑨❧❪❝❞✪❸❧❫✛❸✪❤✐♦q❤✐❣❧④❦✝❦♣❣❉❥❧❦✝♦❬❫➃❜➋❞❡❵✪①♣❣③❤q❞✪❵s①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦✝⑦✪❣③❤q♦✐❤✐❛⑩❫✛❵❩❣ ♦❬❫▲❣➇❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢▲❫✭❣❴❤✐❞❡❵▲❥❧❦r♠❙❦♣♦✐♦✐❤❬❵➾❵✪⑦❧❢➼④❦❁❪❝❤✐⑥⑧⑦✪❦➄❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➓✛➓ ➓❧❨✈✉❾❨❬❳ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❧❦r♦❼❫ ❥❧❦❁❵✪❛❴❤✐❣❧④❦r❥❧❦➠⑨❧❪❝❞❡❸❧❫❩❸✪❤q♦✐❤✐❣❧④❦✰❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➓✛➓ ➓❧❨✈✉❾❨✈✉ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❧❦r♦❼❫✗❜✵❞❡❵✪①♣❣❴❤✐❞❡❵②①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦✎❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➓✛➵ ➭ ✄ ✹➍❄✙✻✣✝ ❊ ▼ ❊ ✻❆✾❁❋✎◗ ❊ ❅➣❈ ❊ ❋♣✺✙❖✵❏✙✾❁❀❬✺✮✻ ➭❧➡ ➳❾❨❬❳ ❿✱➑❧❫✛❵✪➛❩❦❁❢✎❦❁❵✛❣➀❥❧❦➠❪✪④❦♣❛❴❞✛♦❬⑦✪❣❴❤✐❞❡❵②❫✛⑦②❵✪❤✐❹✛❦❁❫✛⑦ ❥❧❦r♦✵❷✈➑✪❤✐❛❴❣❴❞✛➛❡❪③❫✛❢▲❢✎❦➟❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➳✛✉ ➳❧❨❬❳❩❨❬❳ ✆P❦❁❢▲❢✎❦ ❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➳✛✉ ➳❧❨❬❳❩❨✈✉ ➝❙④❦❁❢✎❞❡❵✪❛❴❣➇❪❴❫✿❣❴❤✐❞❡❵➒❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➳✛❺ ➳❧❨❬❳❩❨✈❺ ✁r⑨❧⑨✪♦✐❤✐①❁❫✿❣❴❤✐❞❡❵✣☛✙❤❬❵✛❣③❦❁❪❴⑨❧❞✛♦❬❫✿❣③❤q❞✪❵②❥❧❦r♦✵❷✈➑✪❤✐❛❴❣❴❞✛➛✪❪❴❫✛❢▲❢✎❦➄❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➳✿➎ ➳❾❨✈✉ ❿✱➑❧❫✛❵✪➛❩❦❁❢✎❦❁❵✛❣➀❥❧❦s❪❡④❦♣❛❴❞❩♦❼⑦✪❣③❤q❞✪❵✰❫✛⑦②❵✪❤✐❹✛❦❁❫❩⑦❘❥❧❦s♦✵❷❝④❦♣①♣➑❧❫✛❵❩❣❴❤✐♦✐♦q❞✪❵❧❵❧❫✿➛✛❦r❥❧❦r♦❬❫♥❜✵❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫✛❪❴❫✭① ✙ ❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦ ❨r❨r❨♥❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➳✛➏ ➳❧❨✈✉❾❨❬❳ ✆P❦❁❢▲❢✎❦ ❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➳✛➏ ➳❧❨✈✉❾❨✈✉ ➝❙④❦❁❢✎❞❡❵✪❛❴❣➇❪❴❫✿❣❴❤✐❞❡❵➒❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➳✛➏ ➳❧❨✈✉❾❨✈❺ ✁r⑨❧⑨✪♦✐❤✐①❁❫✿❣❴❤✐❞❡❵✣☛✙❤❬❵✛❣③❦❁❪❴⑨❧❞✛♦❬❫✿❣③❤q❞✪❵②❥❧❦♣❛②④❦♣① ➑❧❫✛❵❩❣❴❤✐♦✐♦✐❞❡❵✪❛➈❥❧❦♥♦❬❫♥❜➋❞✪❵✪①♣❣❴❤✐❞❡❵②①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦ ➳✛➓ ✔✛✔✛✔ ✝ ✤❆✘✛✚✳✴✼✖❆✫✛✚✜✬✩✥✩ ✷✼✷ ❄ ✹✮✺✼✻✼✽✿✾❁❀❂✺✼✻✟✞ ➭ ❲ ➵❾❨❬❳ ➝❙④❦➇➞➍❵✪❤✐❣❴❤✐❞❡❵➒❨r❨r❨♥❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➶ ➵❧❨❬❳❩❨❬❳ ❭➀➑✝④❦♣❞❡❪♣❶❦❁❢✎❦✌❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➶ ➵❧❨❬❳❩❨✈✉ ➝❙④❦❁❢✎❞❡❵✪❛❴❣➇❪❴❫✿❣❴❤✐❞❡❵➒❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➶ ➵❾❨✈✉ ❻✝❪⑤❞❡⑨❧❪❝❤⑩④❦♣❣❧④❦♣❛➜❨r❨r❨♥❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➶ ➵❧❨✈✉❾❨❬❳ ✠✝❫✭♦q❦❁⑦❧❪➀❦❁❵☛✡✌☞↕❳❑❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵❧❳ ➵❧❨✈✉❾❨✈✉ ✇✧❞❡❪❴❢✎⑦✪♦✐❦r❥❧❦➠❪✪④❦♣①❁⑦❧❪❴❪❝❦❁❵✪①♣❦➟❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵❧❳ ➵❧❨✈✉❾❨✈❺ ✠✝❫✭♦q❦❁⑦❧❪⑤❛➈❛⑩⑦❧❪✎✍ ➩ ❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵❧❳ ➵❧❨✈✉❾❨➂➎ ➊❘④❦♣❛❴❤✐❥❆⑦✪❛❽❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛✉ ➵❾❨✈❺ ✠✝❫✛❪❝❤❬❫✿❣③❤q❞✪❵✪❛✒❨r❨r❨♥❨r❨s❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛✉ ➵❧❨✈❺❾❨❬❳ ➝❙④❦♣①❁❪❝❞✛❤✐❛❴❛⑩❫❩❵✪①♣❦➈❛⑩⑦❧❪➃♦➋❷❫✿→❡❦♥❤❬❢▲❫✿➛✛❤❬❵❧❫✿❤❬❪❝❦➮❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✿➎ ➵❧❨✈❺❾❨✈✉ ➔➣⑥⑧⑦✪❤✐❹✿❫✿♦✐❦❁❵✛❣➁❦❁❵✑✏✓✒ ❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✿➎

(6)

❲ ❊ ❊ ❊ ❊ ❊ ❊ t❾❨❬❳ ➝❙④❦❁❪⑤❤q❹➅④❦♣❦r❫✛❵❧❫✿♦✐❞✛➛❩❤q⑥❧⑦✪❦ ❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➓ t❧❨❬❳❩❨❬❳ ➝❙④❦❁❪❝❤✐❹✝④❦♣❦➈❦❁❵❩❣❴❤✵❶❦❁❪⑤❦✠❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➓ t❧❨❬❳❩❨✈✉ ➝❙④❦❁❪❝❤✐❹✝④❦♣❦✱❜✥❪❴❫✿①♣❣③❤q❞✪❵❧❵❧❫✿❤❬❪❝❦r❦♣❣✱①♣❞❡❢▲⑨✪♦✐❦♣→✪❦②❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➓ t❾❨✈✉ ➝❙④❦❁❪⑤❤q❹➅④❦♣❦r❵✪⑦❧❢➜④❦❁❪❝❤✐⑥❧⑦✪❦↔❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➵ t❧❨✈✉❾❨❬❳ ➝❙④❦❁❪❝❤✐❹✝④❦♣❦➈❦❁❵❩❣❴❤✵❶❦❁❪⑤❦✠❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛➵ t❧❨✈✉❾❨✈✉ ➝❙④❦❁❪❝❤✐❹✝④❦♣❦✱❜✥❪❴❫✿①♣❣③❤q❞✪❵❧❵❧❫✿❤❬❪❝❦➾❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ ➵✛t t❧❨✈✉❾❨✈❺ ➝❙④❦❁❪❝❤✐❹✝④❦♣❦➈①♣❞✪❢▲⑨✪♦✐❦♣→❡❦ ❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ t❧❳ ✸ ✠ ❈ ❊ ❅✿❀☎❧❄❧✾❁❀❂✺✼✻❃◗ ❊ ❖❬❄❁✻✜✺✼✻✼✽✿✾❁❀❂✺✼✻✒✽✿❄❆❅❇❄❆✽✿✾❉❈ ❊ ❅✿❀●❋❍✾❁❀●■ ❏ ❊ ❲ ✂ ❳❇➶❧❨❬❳❙➝❙④❦❁❪⑤❤q❹➅④❦♣❦r❫✛❵❧❫✿♦✐❞✛➛❩❤q⑥❧⑦✪❦ ❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ t✛❺ ❳❁➶❧❨❂❳✛❨❬❳➄➝❙④❦❁❪❝❤✐❹✝④❦♣❦➈❦❁❵❩❣❴❤✵❶❦❁❪⑤❦✠❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ t✛❺ ❳❁➶❧❨❂❳✛❨✈✉↕➝❙④❦❁❪❝❤✐❹✝④❦♣❦✱❜✥❪❴❫✿①♣❣③❤q❞✪❵❧❵❧❫✿❤❬❪❝❦r❦♣❣✱①♣❞❡❢▲⑨✪♦✐❦♣→✪❦②❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ t✛❺ ❳❁➶❧❨❂❳✛❨✈❺ ➔➣❛❴❣❴❤❬❢▲❫✿❣③❤q❞✪❵❘❥❧❦r♦❼❫✗❜✵❞❡❵✪①♣❣❴❤✐❞❡❵②①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦➁❦♣❣✱❥❧❦♥❛❴❦♣❛✱❥❱④❦❁❪⑤❤q❹➅④❦♣❦♣❛ ❨r❨s❨r❨r❨s❨ t✿➎ ❳❇➶❧❨✈✉➼➝❙④❦❁❪⑤❤q❹➅④❦♣❦r❵✪⑦❧❢➜④❦❁❪❝❤✐⑥❧⑦✪❦↔❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ t✛➏ ❳❁➶❧❨✉❧❨❬❳➄➝❙④❦❁❪❝❤✐❹✝④❦♣❦➈❦❁❵❩❣❴❤✵❶❦❁❪⑤❦✠❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ t✛➏ ❳❁➶❧❨✉❧❨✈✉↕➝❙④❦❁❪❝❤✐❹✝④❦♣❦✱❜✥❪❴❫✿①♣❣③❤q❞✪❵❧❵❧❫✿❤❬❪❝❦r❦♣❣✱①♣❞❡❢▲⑨✪♦✐❦♣→✪❦②❨r❨r❨s❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨♥❨r❨r❨s❨r❨r❨s❨ t✛➓

(7)

☛➚✏☎✄ ✞ ✆ ✝↕☛✌☞✞✄ ✆✙❦②①♣➑❧❫✿❣❴❞❩❤q❦❁❢✗❦❁❵✛❣✎⑥❧⑦✪❤➉①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❦✰♦✐❦♣❛▲❤❬❢▲❫✭➛✛❦♣❛✎❥❧❦★➊✱❫✿❥❆❫✛❪②❶❫ ➙⑧❵❩❣⑩➑✙❶❦♣❛❴❦✰❥✼❷✠✟r⑦✪❹✛❦❁❪❝❣⑩⑦❧❪❝❦❁✌✵➊ ✟ ✓✗❦♣❛❴❣ ⑦❧❵➜❸❧❪③⑦✪❤q❣▲❢✎⑦✪♦✐❣❴❤❬⑨✪♦✐❤q①❁❫✭❣❴❤❜⑤❨ ✆✼❫➯❣⑩❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢▲❫✿❣❴❤✐❞❡❵➯❥❧❦❘♠➾❦♣♦✐♦✐❤❬❵☛✡✝❢✎❞✛❤❬❵✪❛✎⑨❧❞❡⑨❧⑦✪♦❬❫✿❤❬❪❝❦➯⑥⑧⑦✪❦❘♦❬❫②❣⑩❪❴❫❩❵✪❛❝❜➋❞✪❪❴❢▲❫✿❣❴❤✐❞❡❵ ❥❧❦✎✇❆❞❡⑦❧❪❝❤✐❦❁❪☞✡✙❦♣❛③❣➈①♣❦❁⑨❾❦❁❵✪❥❆❫✛❵✛❣✎❢✎❤✐❦❁⑦✪→➾❫✿❥❆❫❩⑨✪❣⑧④❦♣❦✎❫✛⑦②❣⑩❪③❫✿❤✐❣❴❦❁❢✎❦❁❵❩❣➈❥❧❦✎①♣❦✎❣❝➙⑧⑨❾❦➠❥✼❷❤❼❢ ❫✿➛✛❦♣❛❁❨✙❻➌❫✛❪➁❫✿❤✐♦q♦✐❦❁⑦❧❪❝❛✌✡✼♦❬❫ ❥➉④❦❁❪❝❤✐❹✿❫✿❣❴❤✐❞❡❵ ❜✳❪③❫✿①♣❣❴❤✐❞❡❵❧❵❧❫✿❤❬❪❝❦✍✡✧⑥⑧⑦✪❤❉❫▲❥❱④❦✏✎❍❶❫▲❢✗❞❡❵✛❣➇❪❡④❦r⑦❧❵❘❜✵❞❡❪❝❣➈⑨❾❞✛❣❴❦❁❵❩❣❴❤✐❦♣♦✶❦❁❵➯❫✛⑦✪❣❴❞❡❢ ❫✿❣❴❤✐⑥⑧⑦✪❦✍✡❾❛❴❦❁❢✎❸✪♦q❦✒✑❦♣❣⑩❪❝❦r⑦❧❵ ❞❡⑦✪❣❴❤✐♦❆⑨❧❪❝❞❡❢✗❦♣❣❴❣❴❦❁⑦❧❪❉⑨❧❞❡⑦❧❪➌❪✪④❦♣❛❴❞❡⑦✪❥❆❪❝❦➌①♣❦❁❪⑤❣⑩❫✿❤❬❵✪❛✝⑨❧❪❝❞❡❸✪♦✵❶❦❁❢✗❦♣❛ ❪❝❦❁❵✪①♣❞✪❵✛❣⑩❪✪④❦♣❛❉❦❁❵s❤❬❢▲❫✭➛✛❦❁❪❝❤✐❦✱➊ ✟✎❨✍✓✱❞❩❣⑩❪❝❦✝❞✪❸✔✎ ❦♣①♣❣③❤✈❜ ④ ❦♣❣⑩❫✭❤q❣✮❥✼❷✈⑦❧❵✪❦➉⑨❧❫✛❪⑤❣➍❥❧❦➅❥➉④❦➇➞➍❵✪❤❬❪❉⑦❧❵✪❦✝❣⑩❪❴❫❩❵✪❛❝❜➋❞✪❪❴❢▲❫✿❣❴❤✐❞❡❵➀❥❧❦✝♠❙❦♣♦✐♦✐❤❬❵➠❵✪⑦❧❢➼④❦❁❪❝❤✐⑥⑧⑦✪❦➌⑥❧⑦✪❤⑧⑨❧⑦✪❤✐❛❴❛③❦✕✑❦♣❣➇❪❝❦✶❤❬❢▲⑨✪♦➇④❦❁❢✎❦❁❵✛❣❧④❦♣❦ ❛⑩⑦❧❪r❞✪❪❝❥❧❤❬❵❧❫✿❣❴❦❁⑦❧❪☞✡✮❦♣❣s❥✼❷✈❫✛⑦✪❣➇❪❝❦✰⑨❧❫✛❪❝❣r❥✼❷❝④❦♣❣⑩❫✛❸✪♦✐❤❬❪s⑦❧❵◆❪❴❫✛⑨❧⑨❧❪❝❞✪① ➑✪❦❁❢✗❦❁❵✛❣♥❦❁❵✛❣⑩❪⑤❦▲①♣❦♣❣❴❣❴❦▲❣➇❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢▲❫✭❣❴❤✐❞❡❵➯❦♣❣s♦❬❫ ❥➉④❦❁❪❝❤✐❹✿❫✿❣❴❤✐❞❡❵❘❜✥❪❴❫✿①♣❣③❤q❞✪❵❧❵❧❫✿❤❬❪❝❦✛❨ ✓➀❞❡⑦✪❛➌①♣❞❡❢▲❢✗❦❁❵✪①♣❦❁❪❝❞❡❵✪❛✝⑨❧❫✛❪❉❤❬❵❩❣⑩❪❝❞✪❥❆⑦✪❤❼❪⑤❦➈⑥❧⑦✪❦♣♦✐⑥⑧⑦✪❦♣❛❱❪❡④❦♣❛⑩⑦✪♦✐❣⑩❫✭❣❴❛✶❛➇⑦❧❪❉♦q❦♣❛➅❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦♣❛❱❫✿♦⑩④❦❁❫✿❣③❞✛❤❬❪❝❦♣❛ ⑨❾❞✛❛❴❤✐❣❴❤✐❹✛❦♣❛❁❨ ✓✱❞✪⑦✪❛▲④❦♣❣➇❫✛❸✪♦✐❤❼❪⑤❞❡❵✪❛➌❦❁❵✪❛⑩⑦✪❤✐❣❴❦➁❥❧❦♣❛✝❣⑩➑➅④❦♣❞❡❪♣❶❦❁❢✗❦♣❛✼❥✼❷❝④❦♣①♣➑❧❫✛❵❩❣❴❤✐♦✐♦q❞✪❵❧❵❧❫✿➛✛❦➈❫✿→➅④❦♣❛➌❛➇⑦❧❪❉♦❼❫ ❣⑩❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢▲❫✿❣❴❤✐❞❡❵ ❥❧❦✱♠❙❦♣♦q♦✐❤❬❵☛✡ ⑨❧⑦✪❤✐❛★❵✪❞❡⑦✪❛✰❥❱④❦➇➞➍❵✪❤❬❪❝❞❡❵✪❛✰⑦❧❵✪❦❙❣⑩❪❴❫❩❵✪❛❝❜➋❞✪❪❴❢▲❫✿❣❴❤✐❞❡❵➼❵✪⑦❧❢➜④❦❁❪❝❤✐⑥❧⑦✪❦✍✡➌⑥❧⑦✪❤➈⑨❧❞❡⑦❧❪③❪❴❫☎✑❦♣❣⑩❪❝❦②❫✛⑨❧⑨✪♦✐❤✐⑥⑧⑦➅④❦♣❦➥❫❩⑦✪→➜♦✐❞✛❤✐❛②❥❧❦ ⑨❧❪❝❞❡❸❧❫✛❸✪❤✐♦✐❤✐❣❧④❦✛❨✼➔➅❵❩➞➍❵☛✡➍❵✪❞✪⑦✪❛➆⑨❧❪✪④❦♣❛❴❦❁❵❩❣❴❦❁❪❝❞❡❵✪❛✱⑦❧❵❙⑨❧❫✛❪❴❫✿♦✐♦✵❶❦♣♦✐❦♥❦❁❵✛❣⑩❪⑤❦s①♣❦♣❣❴❣❴❦r❣➇❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢▲❫✭❣❴❤✐❞❡❵❘❦♣❣➈♦❬❫ ❥➉④❦❁❪❝❤✐❹✿❫✿❣❴❤✐❞❡❵ ❜✳❪③❫✿①♣❣❴❤✐❞❡❵❧❵❧❫✿❤❬❪❝❦✛❨

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✄ ☛✌✁✓☛✌☞✞✄ ✟ ✁✄✂✆☎✞✝✠✟ ☛❆❭❉❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢➼④❦♣❦➁❥❧❦r♠➾❦♣♦✐♦✐❤❬❵➯❥❧❦s♦❬❫✎❜✵❞❡❵✪①♣❣❴❤✐❞❡❵ ✝ ✂✡☎☛✝✠✟ ✌✡✞✓ ☞✌☞ ➫✎✍ ✏ ✑✓✒✕✔ ✗ ✝ ✌ ✑ ✓✓✖ ✑ ✁✄✂ ✔ ✗ ☎☛✗✘✟ ☛❆❭❉❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢➜④❦♣❦➁❥❧❦r♠❙❦♣♦q♦✐❤❬❵➯❤❬❵✛❹✛❦❁❪⑤❛❴❦s❥❧❦♥♦❼❫➠❜➋❞❡❵✪①♣❣③❤q❞✪❵ ✗ ✂ ✔ ✗ ☎☛✗✘✟ ✌ ✡✞✓ ☞ ❳ ✉✚✙✜✛ ☞✣✢ ➫✓✤✥✍ ✢ ✔ ✤✥✍ ✑ ✔✠✒ ✗ ✌✡ ✓✦✖ ✡ ✁★✧✠✩ ☛❧➝r❦❁❵✪❛③❤q❣❧④❦➁❥❧❦➠⑨❧❪❝❞❡❸❧❫❩❸✪❤q♦✐❤✐❣❧④❦s❥❧❦s♦❬❫✎❹✿❫✛❪❝❤❬❫✛❸✪♦✐❦▲❫✿♦⑩④❦❁❫✿❣③❞✛❤❬❪❝❦ ✎ ✪ ✌✏✎✬✫ ✟✮✭✓✯✱✰✲☎ ✓ ☞ ☞✴✳ ✵ ✧ ✌ ✑ ✓✦✖ ✑ ✁✄✶✷☎☛✝ ✌✎❁✓ ✟ ☛✪♠➾❞✪❢✎❦❁❵✛❣➀➛ ❦❁❵➅④④ ❦❁❪❴❫✿♦✐❤✐❛⑧④❦✱❥❧❦♥♦❬❫✎❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦▲❫✿♦➇④❦❁❫✿❣❴❞✛❤❬❪❝❦ ✎ ✶✸☎☛✝ ✌✎❁✓ ✟ ☞✌☞ ➫✎✍ ✏ ✝ ✌ ✑ ✓ ✧ ✌ ✑ ✓✦✖ ✑ ✁✄✶ ✩ ☛⑧➔➣❛⑩⑨➅④❦❁❪③❫✛❵✪①♣❦r♦✐❞✛➛❡❫✛❪❝❤✐❣⑩➑❧❢✗❤q⑥❧⑦✪❦s❥❧❦♥♦❬❫✎❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦▲❫✿♦➇④❦❁❫✿❣❴❞✛❤❬❪❝❦ ✎ ✶ ✩ ☞✌❦♣→❧⑨ ✌ ✶✹☎ ♦❼❵ ✎ ✟ ✓ ✁✄✺✻✭✽✼✾☎ ✎ ✟ ☛ ✠✝❫❩❪❝❤❬❫✛❵✪①♣❦s❥❧❦r♦❬❫ ❹✲❫✛❪❝❤❬❫✛❸✪♦✐❦✎❫✿♦⑩④❦❁❫✿❣❴❞❩❤❼❪⑤❦ ✎ ✺✿✭✽✼❀☎ ✎ ✟ ☞ ✶❂❁ ✎ ➻❄❃❆❅ ✶✷☎ ✎ ✟ ➻ ✁✄✗❇✩ ☛❧✇✧❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦r❥❧❦r❛❴❦♣①♣❞✪❵✪❥❧❦s❦♣❛⑩⑨✙❶❦♣①♣❦s❥❧❦r♦❬❫▲❹✿❫✛❪❝❤❬❫✛❸✪♦✐❦➠❫✭♦⑩④❦❁❫✿❣❴❞✛❤❬❪❝❦ ✎ ✗❇✩ ✌✡ ✓ ☞ ✂✆☎✧✦✩❀✟ ✌✡ ✓ ✁✸❈ ✑ ☎ ✎ ✟ ☛❆❿✱⑦❧❢✎⑦✪♦❬❫✛❵❩❣✱❥❧❦s❛❴❦♣①♣❞✪❵✪❥❧❦s❦♣❛⑩⑨✙❶❦♣①♣❦r❥✼❷➂❞❡❪❝❥❆❪❝❦✿❉➯❥❧❦♥♦❼❫✗❹✲❫✛❪❝❤❬❫✛❸✪♦✐❦▲❫✿♦➇④❦❁❫✭❣❴❞✛❤❬❪❝❦ ✎ ❈ ✑ ☎ ✎ ✟ ☞ ✖ ✑ ♦❬❵ ✌ ✗❇✩ ✓✱✌✡✞✓ ✖ ✡ ✑ ✌✜❳✞✓ ✁✄❊ ☛✪✇❆❞❡❵✪①♣❣③❤q❞✪❵★➬s❫❩❢▲❢▲❫♥❥✼❷✈➔✝⑦✪♦✐❦❁❪ ❊ ✌ ✡✞✓✂☞❋☞ ➫✎✍ ✏ ✑ ✒✕✔ ✗ ❦♣→❧⑨ ✌ ❅ ✑ ✓●✖ ✑ ✁✄❍ ☛✪✇❆❞❡❵✪①♣❣❴❤✐❞❡❵➯❻➌❛❴❤ ❍ ✌✡ ✓✂☞ ✖ ✖ ✡ ♦❬❵ ❊ ✌✡✞✓

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♦✐❞✛❤✶❥✼❷⑦❧❵✪❦s❹✲❫❩❪❝❤❬❫✛❸✪♦✐❦✗❫✭♦⑩④❦❁❫✿❣❴❞✛❤❬❪❝❦r❪✪④❦♣❦♣♦q♦✐❦✍✡➌❶❫✎❹✲❫✭♦q❦❁⑦❧❪⑤❛➆⑨❾❞✛❛❴❤✐❣❴❤✐❹✛❦♣❛r❞❡⑦②❵➅④❦♣➛❡❫✿❣❴❤✐❹✛❦♣❛❁❨ ♦✶❛❁❷❫✿➛✛❤✐❣❱❥❧❦s♦❬❫▲❣➇❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢➼④❦♣❦ ❥❧❦★✇✧❞❡⑦❧❪❝❤✐❦❁❪✎❥❧❦②♦❬❫❙❥❧❦❁❵✪❛❴❤✐❣❧④❦②❥❧❦★⑨❧❪❝❞❡❸❧❫✛❸✪❤✐♦✐❤✐❣⑧④❦✛❨ ✟r❪✗♦q❦②①♣➑❧❫✿❣❴❞❩❤q❦❁❢✗❦❁❵✛❣✰⑨❧❪⑤❞❡⑨❧❪❝❦★❫✛⑦✪→❑❤❬❢▲❫✭➛✛❦♣❛✰➊ ✟ ❦♣❛❴❣▲⑦❧❵ ❸❧❪❴⑦✪❤✐❣▲❢➠⑦✪♦✐❣❴❤❬⑨✪♦✐❤✐①❁❫✿❣❴❤❜✗❶❫ ❹✲❫✿♦✐❦❁⑦❧❪❝❛✎⑨❧❞✛❛❴❤✐❣❴❤✐❹✛❦♣❛▲⑦❧❵✪❤✐⑥❧⑦✪❦❁❢✎❦❁❵✛❣❇❨✼➝s❫✛❵✪❛r①♣❦♣❣❴❣③❦✗⑨❧❫❩❪❝❣❴❤✐❦✍✡✶❵✪❞❡⑦✪❛s❫✭♦q♦✐❞❡❵✪❛✎❤❬❵❩❣⑩❪❝❞✪❥❆⑦✪❤❼❪⑤❦ ⑦❧❵✌❞❡❸✔✎❝❦♣❣✰❢▲❫✭❣⑩➑✝④❦❁❢▲❫✭❣❴❤✐⑥⑧⑦✪❦❙⑨✪♦❼⑦✪❛❙❫✿❥❆❫✛⑨✪❣❧④❦➜❶❫❑♦✵❷❝④❦♣❣⑩⑦✪❥❧❦❙❥❧❦♣❛②❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦♣❛★❫✭♦⑩④❦❁❫✿❣❴❞✛❤❬❪❝❦♣❛②⑨❧❞❩❛❴❤✐❣❴❤✐❹✛❦♣❛✂✁s⑥❧⑦✪❦❑❵✪❞❡⑦✪❛ ❫✛⑨❧⑨❧❦♣♦✐♦✐❦❁❪❝❞❡❵✪❛➃❜➋❞❡❵✪①♣❣③❤q❞✪❵✎①❁❫✛❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥❧⑦✪❦❱❥❧❦✱❛❴❦♣①♣❞❡❵✪❥❧❦➁❦♣❛⑩⑨✙❶❦♣①♣❦✛❨ ♦❧❛❁❷✈❫✿➛❩❤q❣➌❥❧❦➀♦❼❫ ❣⑩❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢➜④❦♣❦➅❥❧❦✱♠❙❦♣♦q♦✐❤❬❵❘❥❧❦ ♦❬❫▲❥❧❦❁❵✪❛❴❤✐❣❧④❦s❥❧❦s⑨❧❪❝❞✪❸❧❫✛❸✪❤✐♦q❤✐❣❧④❦✍✡ ❶❫ ⑨❧❫✛❪❝❣❴❤❬❪❱❥❧❦♥♦❼❫✭⑥⑧⑦✪❦♣♦✐♦✐❦▲❵✪❞❡⑦✪❛➆⑨❾❞❡⑦❧❪❴❪❝❞✪❵✪❛✱❥➉④❦➇➞➍❵✪❤❬❪➀♦q❦♣❛➁①❁⑦❧❢✎⑦✪♦❬❫✛❵✛❣③❛✱❥❧❦s❛❴❦♣①♣❞✪❵✪❥❧❦ ❦♣❛⑩⑨✙❶❦♣①♣❦✛❨✞✓✱❞❡⑦✪❛✎①♣❞❡❢ ❢✎❦❁❵✪①♣❦❁❪❝❞❡❵✪❛▲❥❧❞✪❵✪①★⑨❧❫✛❪✎⑦❧❵✪❦★❸❧❪ ❶❦♣❹✛❦②⑨❧❪✪④❦♣❛❴❦❁❵✛❣➇❫✿❣❴❤✐❞❡❵❙❥❧❦②①♣❦♣❣❴❣③❦②❣⑩❪❴❫✛❵✪❛❝❜✵❞❡❪❴❢ ❫✿❣❴❤✐❞❡❵☛✡✼⑥❧⑦✪❦ ❵✪❞❡⑦✪❛r❫✛⑨❧⑨✪♦✐❤q⑥❧⑦✪❦❁❪❝❞❡❵✪❛r❦❁❵✪❛➇⑦✪❤q❣③❦➘❶❫✎⑥❧⑦✪❦♣♦✐⑥⑧⑦✪❦♣❛➁♦✐❞✛❤✐❛➈❥❧❦✎⑨❧❪❝❞❡❸❧❫✛❸✪❤✐♦✐❤✐❣⑧④❦♥❛⑩⑦❧❪ ➨ ➩➫ ❨

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☛✌✡☞✝ ✍✏✁✄✂ ✂ ✄ ✄ ✁ ✝↕☛✌☞✞✄ ✁ ✝ ✁ ✏➄✁ ✝↕☛ ✆✑✏✓ ☞❱✟➼☛✌☞✆☎ ✆ ✆ ✆ ☛ ✝ ✆ ✡ ✆ ☎➉✁ ✁ ☛✌✟ ✞ ✆ ✟ ✆ ✝ ✄ ✁ ✞ ✆ ✆✠✟ ✕ ✆✍ ✝ ✆ ✝✟✞✠✝ ✡☞☛✍✌✏✎✒✑✔✓✖✕✗☛✙✘✚✌✜✛✔✢✣✕✤✎✦✥★✧✪✩ ✧✬✫✣✫✣✢✭✎ ❞✛❤✐❦❁❵❩❣ ✝ ❦♣❣✯✮✰❥❧❦❁⑦✪→▲❜✵❞❡❵✪①♣❣❴❤✐❞❡❵✪❛➀❥➉④❦➇➞➍❵✪❤✐❦♣❛✱❛⑩⑦❧❪ ➨ ➩➫ ❨ ✆✙❦s⑨❧❪❝❞✪❥❆⑦✪❤✐❣➈❥❧❦r①♣❞❡❵❩❹✛❞✛♦❬⑦✪❣❴❤✐❞❡❵❘❥❧❦r♠❙❦♣♦✐♦✐❤❬❵②❥❧❦ ✝ ❦♣❣ ✮➘❦♣❛③❣✱❥➉④❦➇➞➍❵✪❤✼❥❧❦r♦❬❫✗❜✳❫ ①♣❞❡❵❘❛⑩⑦✪❤✐❹✲❫✛❵❩❣❴❦✢☛✁ ✝✱✰✲ ✮ ✌ ✑ ✓ ☞ ☞ ➫✎✍ ✏ ✝ ✌✴✳✚✓✵✮✷✶ ✑ ✳✹✸ ✖✺✳ ✳ ✇➌❤✐→✪❞❡❵✪❛ ✝ ❦♣❣➅①♣❞❡❵✪❛❴❤✐❥➉④❦❁❪❝❞✪❵✪❛✝❢▲❫✿❤❬❵✛❣③❦❁❵❧❫✛❵✛❣➅♦✵❷✈❫✛⑨❧⑨✪♦✐❤✐①❁❫✿❣❴❤✐❞❡❵❘♦✐❤❬❵✝④❦❁❫✿❤❬❪❝❦➁⑥⑧⑦✪❤✶❶❫ ❣❴❞❡⑦✪❣❴❦➅❜✵❞❡❵✪①♣❣❴❤✐❞❡❵✻✮✎❥➉④❦➇➞➍❵✪❤✐❦➁❛⑩⑦❧❪ ➨ ➩➫ ❫✿❛❴❛❴❞✪①♣❤✐❦ ✝✱✰✲ ✮P❨ ❦♣❛➁❹✛❦♣①♣❣❴❦❁⑦❧❪❝❛➁⑨❧❪❝❞❡⑨❧❪❝❦♣❛✱❛③❞❡❵✛❣❱♦✐❦♣❛➀❜➋❞❡❵✪①♣❣③❤q❞✪❵✪❛✟✼ ✒ ✌ ✑ ✓ ☞ ✑ ✔●✒ ❨✧➔✝❵❘❦✠✽✼❦♣❣ ✡ ✝✾✰✲ ✼ ✒ ✌ ✑ ✓ ☞ ☞ ➫ ✍ ✏ ✝ ✌✿✳✚✓ ✶ ✑ ✳ ✸ ✔●✒ ✖❀✳ ✳ ☞ ✼ ✒ ✌ ✑ ✓✦☞ ➫✎✍ ✏ ✳ ✒ ✔ ✗ ✝ ✌✴✳✚✓✓✖✺✳ ✆✼❫❘❹✿❫✿♦✐❦❁⑦❧❪s⑨❧❪❝❞✪⑨❧❪❝❦▲❫✿❛❴❛❴❞✪①♣❤⑩④❦♣❦▲❫✛⑦➯❹✛❦♣①♣❣❴❦❁⑦❧❪r⑨❧❪❝❞✪⑨❧❪❝❦❁✼ ✒ ❛❴❦❁❪③❫②❫✛⑨❧⑨❧❦♣♦➇④❦♣❦❃❂❴❣⑩❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢➜④❦♣❦➁❥❧❦▲♠❙❦♣♦✐♦q❤❬❵❅❄❙❥❧❦ ♦❬❫✎❜✵❞❡❵✪①♣❣❴❤✐❞❡❵ ✝★☎ ❿❱❞✛♦✐❞❡❢✎❸❧❞ ✟ ❨ ✂✆☎✞✝✠✟ ✌✡✞✓ ☞ ☞ ➫✎✍ ✏ ✑●✒✕✔ ✗ ✝ ✌ ✑ ✓✦✖ ✑ ✟r❵②❢✎❞✪❵✛❣⑩❪⑤❦✱⑥⑧⑦✪❦r❛③❤ ✝ ❦♣❛❴❣❱♦✐❞❡①❁❫✿♦✐❦❁❢✎❦❁❵❩❣✱❤❬❵❩❣⑧④❦♣➛❡❪③❫✛❸✪♦✐❦✍✡✛①♣❦♣❣❴❣❴❦➁❣⑩❪❴❫❩❵✪❛❝❜➋❞✪❪❴❢➼④❦♣❦➀❦♣❛❴❣❱❥➉④❦➇➞➍❵✪❤✐❦➈❛➇⑦❧❪➉⑦❧❵✪❦s❸❧❫❩❵✪❥❧❦ ❹✛❦❁❪❝❣❴❤✐①❁❫✿♦✐❦➁❥❆⑦✎⑨✪♦❼❫❩❵✎①♣❞❡❢▲⑨✪♦✐❦♣→✪❦✒❆ ✡ ✫❈❇❊❉ ➨●❋ ✌ ✡✞✓❀✫ ☎■❍ ✗ ✯✠❍ ➻ ✟❑❏ ❨✍✟r❵ ⑨❧❦❁⑦✪❣✝♦✵❷➂❤❬❵❩❹✛❦❁❪❝❛❴❦❁❪❉❦❁❵✗♦➋❷❤❼❵❩❣❧④❦♣➛❡❪❴❫✛❵❩❣✶❛➇⑦❧❪➌⑦❧❵✪❦ ❥❆❪❝❞✛❤✐❣❴❦♥❹✛❦❁❪❝❣❴❤✐①❁❫✿♦✐❦➠❫❩⑨❧⑨❧❫✛❪❝❣❴❦❁❵❧❫✛❵❩❣s❶❫✎①♣❦♣❣❴❣❴❦s❸❧❫❩❵✪❥❧❦✢☛ ✂ ✔ ✗ ☎✗ ✟ ✌✡✞✓ ☞ ❳ ✉✚✙ ✛ ☞ ✢ ➫✓✤✍ ✢ ✔ ✤✥✍ ✑ ✔●✒ ✗ ✌✡ ✓●✖ ✡ ❞P❶⑦ ❍ ✫ ☎▲❍ ✗ ✯✠❍ ➻ ✟ ❨ ❿❱❦♣❣③❣❴❦➌❜✵❞❡❪❴❢✎⑦✪♦✐❦✝❥✼❷➂❤❬❵❩❹✛❦❁❪❝❛❴❤✐❞❡❵✎❵✪❞❡⑦✪❛➌❢✎❞❡❵❩❣⑩❪❝❦➅⑥⑧⑦✪❦➅①❁❫✿♦✐①❁⑦✪♦✐❦❁❪➌♦❬❫➁❣⑩❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢➜④❦♣❦❉❥❧❦❱♠➾❦♣♦✐♦✐❤❬❵✎❥✼❷✈⑦❧❵✪❦➅❜✵❞❡❵✪①♣❣❴❤✐❞❡❵ ✝ ❛⑩⑦❧❪❱♦✵❷✈❫✭→❡❦ ❍ ✏✹✛ ➨ ❪❝❦♣❹❡❤✐❦❁❵❩❣✗❶❫✗❥➉④❦♣①♣❞❡❢▲⑨❾❞✛❛❴❦❁❪➅①♣❦♣❣❴❣❴❦➁❜✵❞❡❵✪①♣❣❴❤✐❞❡❵ ❛⑩⑦❧❪❱♦❬❫✗❜✳❫✛❢✗❤q♦✐♦✐❦▼❆✖✼ ✒ ✯ ✡ ✫ ❍ ✏✹✛ ➨ ❏ ❨

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6

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10

−3

−2

−1

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1

2

3

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

0

2

4

6

8

10

−2

−1

0

1

2

3

4

5

✩✫✪✭✬✯✮☞✰✡✱☞✲✍✳✏✴✑✰✡✱✔✵✖✶✏✴✸✷✡✹✦✺✍✲✜✻✢✺✚✩✂✶✣✬✤✼✽✰✚✶✏✴✑✳✏✴★✾ ✿❁❀❃❂❄❀✝❅✖❆✂❇❉❈✦❊✒❇❃❀●❋✍❍❏■●❊✒❑▲❇✟❈✒▼✫■◆❀P❖✗◗❙❘❚◗☎❆❯❆✫▼✂❀❱❋✒◗❁❲☎■◆❑▲❳❨■◆❊✍❈✒◗✜❩●▼✫❋✍❬❪❭❇❫❬✣❩●▼❯❋❁❖✗◗❴❆✂❇P❲☎■◆❀✽❩❃■✽❆✂❵●❈✒▼✫■◆❀❛❖✗◗❴❘❚◗☎❆✫❆❯▼✂❀❱❲☎■●❑▲❑❱◗

(13)

✂✆☎✞✝✱✰✲ ✮ ✟ ☞ ✂✆☎✝✠✟ ✂✆☎ ✮ ✟ ✝✟✞✂✁ ✄✻✕●✎✆☎✙✛ ✢✣✕●✎ ☎ ✌✜☛✍✌✝☎✙✛✟✞✧ ☛✍✢✣✑ ✛ ✢✡✠☞☛✒✧ ✥❁✧ ✑ ✧✌☎ ✕✤✎✤✥❁✧ ✧✬✑✎✍✑✏✧✌☎ ✧ ✥✑✒✓☛❁✎✒✧ ✫✣✕✏✢ ✥❁✧ ✍✻☛✍✕✕✔★✌✖✔★✢ ✫✣✢ ✛✟✞✧✗✍ ✕✏✑ ✢ ✛✔✢✂✘✟✧ ✟r❵➮❥❱④❦➇➞➍❵✪❤q❣◆①♣♦❼❫✭❛❴❛❴❤✐⑥⑧⑦✪❦❁❢✗❦❁❵✛❣❑♦❬❫➚❜✵❞❡❵✪①♣❣❴❤✐❞❡❵➮①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦◆❥✼❷✈⑦❧❵✪❦➽❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦✌❫✿♦⑩④❦❁❫✿❣③❞✛❤❬❪❝❦ ❪✪④❦♣❦♣♦✐♦✐❦ ✎ ①♣❞❡❢▲❢✎❦♥♦❬❫✎❣⑩❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢➜④❦♣❦✱❥❧❦♥✇❆❞❡⑦❧❪⑤❤q❦❁❪➃❥❧❦s❛⑩❫✎♦✐❞✛❤✮❥❧❦s⑨❧❪❝❞❡❸❧❫✛❸✪❤✐♦✐❤✐❣⑧④❦ ☎ ♠❙❦♣❣❴❤✐❹❡❤✐❦❁❪ ✟ ☛ ✙ ✩ ✌✛✚✔✓ ☞ ✶✷☎ ❦♣→⑧⑨ ✌ ❅ ✛✜✚✢✎❁✓ ✟ ✓➀❞❡⑦✪❛②♦✵❷✈❫✛⑨❧⑨❾❦♣♦q♦✐❦❁❪❝❞✪❵✪❛➾❥❆❫❩❵✪❛②♦❼❫ ❛⑩⑦✪❤✐❣❴❦ ❂❝❜✵❞❡❵✪①♣❣❴❤✐❞❡❵➚①❁❫✛❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥❧⑦✪❦❙❥❧❦➜⑨❧❪❝❦❁❢✎❤✵❶❦❁❪⑤❦➾❦♣❛➇⑨➍❶❦♣①♣❦❑❄➽❫❇➞➍❵✌❥❧❦ ♦❬❫★❥❧❤✐❛❴❣③❤❼❵✪➛✪⑦✪❦❁❪✎❥❧❦✰♦❬❫➘❜➋❞❡❵✪①♣❣③❤q❞✪❵❑①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦▲❥❧❦❘❥❧❦❁⑦✪→✪❤➋❶❦❁❢✎❦❘❦♣❛⑩⑨➍❶❦♣①♣❦▲⑥❧⑦✪❦②❵✪❞❡⑦✪❛➠❫✿♦✐♦✐❞❡❵✪❛▲❢▲❫✿❤❬❵❩❣❴❦❁❵❧❫✛❵❩❣ ❥➉④❦➇➞➍❵✪❤❬❪♣❨ ❞✛❤✐❣✲✎➹⑦❧❵✪❦➁❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦r❫✿♦➇④❦❁❫✭❣❴❞✛❤❬❪❝❦✱❪✪④❦♣❦♣♦✐♦✐❦➈⑨❾❞✛❛❴❤✐❣❴❤✐❹✛❦✛❨ ✓✱❞✪⑦✪❛➉❫✛⑨❧⑨❾❦♣♦q♦✐❦❁❪❝❞✪❵✪❛★❂⑤❜➋❞❡❵✪①♣❣③❤q❞✪❵✎①❁❫✛❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥❧⑦✪❦✱❥❧❦ ❛❴❦♣①♣❞❡❵✪❥❧❦▲❦♣❛➇⑨➍❶❦♣①♣❦❑❄ ✡✧❞❡⑦❙⑨✪♦❬⑦✪❛s❛❴❤❬❢▲⑨✪♦✐❦❁❢✎❦❁❵❩❣ ❂❝❜✵❞❡❵✪①♣❣❴❤✐❞❡❵➯①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦❑❄❘❥❧❦▲♦❬❫❘❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦ ✎ ♦❬❫❘❜✵❞❡❵✪①♣❣❴❤✐❞❡❵ ⑥⑧⑦✪❤✱❶❫✎⑦❧❵★❵✪❞❡❢✎❸❧❪❝❦r①♣❞✪❢▲⑨✪♦✐❦♣→❡❦ ✡➠❫✭❛❴❛❴❞✪①♣❤q❦♥♦✐❦s❢✎❞❡❢✎❦❁❵❩❣✱❥✼❷➂❞❡❪⑤❥❆❪❝❦ ✡ ❅ ❳ ✗❀✩ ✌ ✡✞✓ ☞ ✶ ❁ ✎ ✒ ✔ ✗ ❃ ❤ ✡✿✫❙❳ ✏ ✛ ➨ ✡✣✢ ✢ ✑ ✒✕✔ ✗ ✢ ✢ ☞➮❳✥✤ ✑ ✫ ➨r➩➫ ✡✿❥❧❞❡❵✪①✧✦ ✗❀✩ ✌ ✡✞✓★✦✪✩➄❳✛❨✛➔✝❵ ⑨❧❫✛❪❝❣❴❤✐①❁⑦✪♦✐❤✐❦❁❪☞✡✪❦❁❵ ✡ ☞ ❳✍✡ ✗❀✩ ✌⑤❳✞✓ ☞↕❳✛❨ ❤✩✎❽⑨❧❞✛❛③❛❍❶❦♣❥❧❦s⑦❧❵✪❦♥❥❧❦❁❵✪❛❴❤✐❣⑧④❦ ✧✦✩ ✡❧①♣❦♣❣❴❣③❦➁❜➋❞❡❵✪①♣❣③❤q❞✪❵❘❦♣❛❴❣②④❦♣➛✪❫✿♦✐❦✰❶❫✎♦❬❫✎❣⑩❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢➜④❦♣❦➁❥❧❦r♠❙❦♣♦q♦✐❤❬❵➯❥❧❦ ✧✦✩ ☛ ✗ ✩ ✌✡ ✓✂☞ ✂✡☎✧ ✩ ✟ ✌✡✞✓ ➔➅❵❩➞➍❵☛✡❧❛❴❤✩✎✄❦♣❛❴❣➈⑦❧❵✪❦s❹✿❫✛❪❝❤❬❫✛❸✪♦✐❦ ✌✟✎ ✗ ✯ ✫✛ ✯ ✎✒✑✞✓♥❶❫✎❹✲❫✿♦✐❦❁⑦❧❪❝❛➁❥❆❫✛❵✪❛✟✬➨ ➩➫✮✭ ✑ ✡❧❵✪❞❡⑦✪❛➆❫❩⑨❧⑨❧❦♣♦✐♦✐❦❁❪❝❞❡❵✪❛➁❜✵❞❡❵✪①♣❣❴❤✐❞❡❵ ①❁❫✛❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥❧⑦✪❦r❥❧❦s❛❴❦♣①♣❞✪❵✪❥❧❦s❦♣❛⑩⑨✙❶❦♣①♣❦r❥❧❦ ✎↔♦✵❷✈❫❩⑨❧⑨✪♦q❤✐①❁❫✿❣③❤q❞✪❵ ✌✡ ✗ ✯ ✛✫ ✯ ✡✧✑✢✓✰✯✱ ✶ ❁ ✎ ✒✓✲✕✔ ✗ ✗ ✫✫ ✎ ✒✴✳ ✔ ✗ ✑ ❃ ✝✟✞✂✵ ✶ ☛✍✕✷✍✻☛✍✢✸✞✧ ✛✟✞✧✬✑ ✥❁✧ ✫✣✌ ✓ ✕✤✎✆☎✙✛✔✢✣✕✤✎✹☎ ✌✜☛✍✌✝☎✙✛✟✞✧ ☛✍✢✣✑ ✛✔✢✺✠☞☛✤✧ ✻✣✼ ✶ ✼✽✻ ✾ ✘✛✚✵✫❀✿✤❆✘❩✤❁✪✝❁➦✚✴✥ ✪❘✩✤❆✯✱✤✡✥ ✪➅✖✘✥❃❂❧✤❁✪✝✤✧✦②✴✼✖✙✘✛✚✥✖✙✢➅✣✥✤❆✦❘✖✙✣✪✩✤✧✖❆✫✛✬✼✚✜✘✛✤❆✦②✯➀✬✼✦✿✚✵✫✛✚✵✴✶✤✧✦ ❄ ❅❇✺➍❚❉✺✙❋❁❀❂✾❁❀❬✺✮✻ ✆✙❦♣❛➁❹✲❫❩❪❝❤❬❫✛❸✪♦✐❦♣❛➆❫✿♦➇④❦❁❫✿❣❴❞✛❤❬❪❝❦♣❛✱⑨❧❞❩❛❴❤✐❣❴❤✐❹✛❦♣❛ ✎ ✗ ✯ ✫✫ ✯ ✎✒✑s❛❴❞✪❵✛❣❱❤❬❵✪❥➉④❦❁⑨❾❦❁❵✪❥❆❫✛❵✛❣③❦♣❛➈❛❴❤✙❦♣❣✱❛③❦❁⑦✪♦q❦❁❢✗❦❁❵✛❣➁❛❴❤✙♦❬❫✎❜✵❞❡❵✪① ✙ ❣❴❤✐❞❡❵➼①❁❫✛❪❴❫✭①♣❣⑧④❦❁❪❝❤✐❛❴❣③❤q⑥❧⑦✪❦❘❥❆⑦❑❹✛❦♣①♣❣③❦❁⑦❧❪✛✌✏✎ ✗ ✯ ✫✫ ✯ ✎ ✑ ✓♥①♣❞❆❅❇❬❵✪①♣❤✐❥❧❦➾❫❇❹✛❦♣① ♦q❦★⑨❧❪⑤❞❡❥❆⑦✪❤✐❣▲❣❴❦❁❵✪❛③❞❡❪❝❤✐❦♣♦❱❥❧❦♣❛✎❜➋❞✪❵✪①♣❣❴❤✐❞❡❵✪❛ ①❁❫✛❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥❧⑦✪❦♣❛✱❥❧❦♣❛ ❉★❹✿❫✛❪❝❤❬❫✛❸✪♦✐❦♣❛ ✎❉❈✖☛ ✗✕❊ ✩ ✲●❋■❍■❍■❍■❋ ✩ ✳❑❏ ✌✡ ✗ ✯ ✫✛ ✯ ✡✧✑ ✓ ☞ ✑ ▲ ❈◆▼ ✗ ✗❇✩P❖ ✌✡❆❈ ✓

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❊ ❤✼♦✐❦♣❛➁❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦♣❛s❫✭♦⑩④❦❁❫✿❣❴❞✛❤❬❪❝❦♣❛✜✎ ✗ ✯ ✛✫ ✯ ✎ ✑s❛❴❞❡❵❩❣❱❤❬❵✪❥➉④❦❁⑨❧❦❁❵✪❥❆❫❩❵✛❣❴❦♣❛✌✡ ✗ ❊ ✩ ✲✓❋■❍■❍■❍■❋ ✩ ✳❑❏ ✌✡ ✗ ✯ ✫✫ ✯ ✡ ✑ ✓ ☞ ✶ ❁ ✎ ✒✂✲ ✔ ✗ ✗ ✛✫ ✎ ✒ ✳ ✔ ✗ ✑ ❃ ☞ ✶❂❁ ✎ ✒✂✲ ✔ ✗ ✗ ❃ ✫✫ ✶ ✎ ✒ ✳ ✔ ✗ ✑ ✁ ☞ ✗❀✩ ✲ ✌✡ ✗ ✓ ✛✫ ✗❀✩ ✳ ✌✡❂✑✺✓ ✆➌❷❤❼❵✌✎❝❦♣①♣❣❴❤✐❹✪❤q❣❧④❦s❥❧❦♥♦❬❫✎❣⑩❪❴❫✛❵✪❛⑤❜➋❞❡❪③❢▲❫✿❣❴❤✐❞❡❵ ❥❧❦s♠❙❦♣♦✐♦✐❤❼❵❙❫✿❛③❛⑩⑦❧❪❝❦r⑥❧⑦✪❦s♦❬❫✎①♣❞❡❵✪❥❧❤✐❣❴❤✐❞❡❵➯❦♣❛❴❣❱❛⑩⑦✄✂✰❛➇❫✛❵✛❣③❦✛❨ ✻✣✼ ✶ ✼✆☎ ✝ ✘✛✬✵✪ ✰➅✚✵✫ ✪➅✤❑✴✼✖✙✘✛✚✥✖✙✢➅✣✥✤❆✦②✖✙✣✪✩✤❆✖✧✫✛✬✼✚✥✘✛✤✧✦✰✯➀✬✼✦✿✚✵✫✛✚✵✴✶✤✧✦✰✚✮✥ ✪❘✩✤❆✯✱✤✡✥ ✪✝✖✣✥✮✫✛✤❆✦ ❄ ❅❇✺➍❚❉✺✙❋❁❀❂✾❁❀❬✺✮✻ ✆✼❫ ❜✵❞❡❵✪①♣❣❴❤✐❞❡❵❙①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦ ❥❆⑦➜⑨❧❪❝❞✪❥❆⑦✪❤✐❣ ✪ ✑ ☞ ✎ ✗ ✛✫ ✎✒✑②❥❧❦ ❉➼❹✲❫✛❪⑤❤❼❫❩❸✪♦q❦♣❛❘❫✿♦⑩④❦❁❫✿❣❴❞❩❤❼❪⑤❦♣❛s❤❬❵✪❥➉④❦❁⑨❾❦❁❵✖✙ ❥❆❫✛❵❩❣❴❦♣❛✱❦♣❛❴❣✱♦✐❦✎⑨❧❪❝❞❡❥❆⑦✪❤✐❣➁❥❧❦♣❛✱❜✵❞❡❵✪①♣❣❴❤✐❞❡❵✪❛➀①❁❫✛❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥❧⑦✪❦♣❛✱❥❧❦♣❛ ✎ ❈✢☛ ✗✟✞ ✳ ✌✡✞✓ ☞ ✑ ▲ ❈ ▼ ✗ ✗❀✩✰❖ ✌✡✞✓ ➔➅❵★⑨❧❫✛❪❝❣③❤q①❁⑦✪♦✐❤✐❦❁❪☞✡✧❛❴❤✼♦✐❦♣❛ ✎❉❈♥❛❴❞❡❵❩❣✰④❦♣⑥⑧⑦✪❤✐❥❧❤✐❛❴❣⑩❪⑤❤❼❸❧⑦➅④❦♣❦♣❛ ✡✧①✛❷➂❦♣❛❴❣➠❶❫✎❥❧❤❬❪❝❦✎❛⑩⑦✪❤✐❹✛❦❁❵❩❣✱♦❬❫❘❢ ✑❦❁❢✎❦r♦✐❞✛❤✮❥❧❦r❜✵❞❡❵✪①♣❣❴❤✐❞❡❵ ①❁❫✛❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥❧⑦✪❦ ✗ ✡❧❞❡❵②❫ ✗✟✞ ✳ ✌✡ ✓ ☞ ✌ ✗ ✌✡ ✓ ✓ ✑ ❨ ❈ ❊ ▼❙✺✼✻✼❋♣✾❁❅❇❄❧✾❁❀❂✺✼✻ ✗✟✞ ✳ ✌✡✞✓ ☞ ✶ ❁ ✌✏✎ ✗ ✛✫ ✎✒✑✢✓ ✒ ✔ ✗ ❃ ☞ ✶ ❁ ✎ ✒ ✔ ✗ ✗ ❃ ✫✛ ✶ ❁ ✎ ✒ ✔ ✗ ✑ ❃ ☞ ✗❀✩ ✲ ✌✡ ✗ ✓ ✫✫ ✗❀✩ ✳ ✌✡❂✑✔✓ ✻✣✼ ✶ ✼ ✶ ✠➾✤✧✣✥✖✧✫✛✚✥✬✩✥↕✤✡✥✼✫✛✘✛✤➽✣✜✤❆✦ ✦⑩✬✩✥✌❂✪✫✛✚✜✬✩✥✝✦ ❂❧✖✙✘✛✖✎❂✪✫✝✩✤❆✘✛✚✜✦❁✫✛✚✮✳✵✰✝✤❆✦ ✪➅✤❃✯➅✘✛✤✆★➄✚ ✿✤❆✘✛✤◆✤❧✫❑✦✿✤ ❂❧✬✩✥✲✪✝✤ ✤❆✦✿✯✕✿✤❀❂❧✤ ❄ ❅❇✺➍❚❉✺✙❋❁❀❂✾❁❀❬✺✮✻ ❞✛❤✐❣ ✗ ♦❼❫➘❜➋❞✪❵✪①♣❣❴❤✐❞❡❵❙①❁❫✛❪❴❫✭①♣❣⑧④❦❁❪❝❤✐❛❴❣③❤q⑥❧⑦✪❦✎❥❧❦▲❛❴❦♣①♣❞❡❵✪❥❧❦ ❦♣❛⑩⑨➍❶❦♣①♣❦✎❥✼❷✈⑦❧❵✪❦▲❹✿❫✛❪❝❤❬❫✛❸✪♦✐❦②❫✿♦⑩④❦❁❫✿❣❴❞❩❤❼❪⑤❦✗⑨❾❞✛❛❴❤✐❣❴❤✐❹✛❦✒✎ ✡ ❦♣❣ ✙ ♦❬❫✎❜✵❞❡❵✪①♣❣❴❤✐❞❡❵❘①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦r❥❧❦✎⑨❧❪❝❦❁❢✎❤✵❶❦❁❪⑤❦r❦♣❛⑩⑨➍❶❦♣①♣❦r❥❧❦♥♦❼❵ ✎ ❨ ✁➁♦✐❞❡❪❝❛✥✤ ✚ ✫ ➨ ✡ ✙ ✌✚✔✓ ☞ ✗ ✌✥❳ ❅ ✛✜✚✔✓ ❈ ❊ ▼❙✺✼✻✼❋♣✾❁❅❇❄❧✾❁❀❂✺✼✻ ✗ ✌✥❳ ❅ ✛✜✚✔✓ ☞ ✶ ❁ ✎ ❊ ✗ ✔ ✤☛✡ ❏✔ ✗ ❃ ☞ ✶ ❁ ✎ ✔ ✤☛✡ ❃ ☞ ✶✷☎ ❦♣→❧⑨ ✌ ❅ ✛✜✚✝♦❬❵✜✎❁✓ ✟ ☞ ✙ ✌✚✔✓

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✻✣✼ ✼ ✾ ❄ ❅❇✺➍❚❉✺✙❋❁❀❂✾❁❀❬✺✮✻ ✆✼❫➘❜➋❞✪❵✪①♣❣❴❤✐❞❡❵❑①❁❫❩❪❴❫✿①♣❣❧④❦❁❪❝❤✐❛❴❣❴❤✐⑥⑧⑦✪❦✎❥✼❷✈⑦❧❵✪❦❘❹✲❫❩❪❝❤❬❫✛❸✪♦✐❦➘❫✿♦➇④❦❁❫✿❣❴❞✛❤❬❪❝❦✰⑨❾❞✛❛❴❤✐❣❴❤✐❹✛❦ ✎➲❥❱④❦♣❣❴❦❁❪❴❢✎❤❬❵✪❦✰⑦❧❵✪❤✐❹✛❞✪⑥❧⑦✪❦❁❢✎❦❁❵✛❣ ❛⑩❫✎♦✐❞✛❤✼❥❧❦✎⑨❧❪❝❞❡❸❧❫✛❸✪❤✐♦✐❤✐❣❧④❦✛❨ ❈ ❊ ▼❙✺✼✻✼❋♣✾❁❅❇❄❧✾❁❀❂✺✼✻ ✟r❵②⑦✪❣❴❤✐♦✐❤✐❛❴❦✎♦✐❦s❪❡④❦♣❛⑩⑦✪♦✐❣⑩❫✭❣➉❥❧❦r♦❬❫✎❛③❦♣①♣❣❴❤✐❞❡❵❙❳✛❨✈❺❧❨❺✺☛✛♦❬❫♥❜✵❞❡❵✪①♣❣❴❤✐❞❡❵ ✗❀✩ ❦♣❛❴❣✰④❦♣➛❡❫✿♦✐❦r❛⑩⑦❧❪➅♦✵❷✈❫✿→✪❦▲❳ ✏★✛➨ ❶❫ ✙ ✂✁ ✩ ❨ ✟r❪❱❥✼❷✈❫✛⑨❧❪♣❶❦♣❛✱⑦❧❵②❪✪④❦♣❛➇⑦✪♦q❣➇❫✿❣❱①♣♦❼❫✭❛❴❛❴❤✐⑥⑧⑦✪❦✍✡ ✙ ✂✁ ✩ ❥❱④❦♣❣❴❦❁❪❴❢✎❤❬❵✪❦s⑦❧❵✪❤✐❹✛❞✪⑥⑧⑦✪❦❁❢✎❦❁❵❩❣✱♦❬❫✎♦✐❞✛❤✼❥❧❦s⑨❧❪⑤❞❡❸❧❫✛❸✪❤✐♦✐❤q❣❧④❦s❥❧❦r♦❬❵✜✎➽❨ ➝r❞❡❵✪① ✗❇✩ ❥➉④❦♣❣❴❦❁❪③❢✎❤❬❵✪❦s⑦❧❵✪❤q❹❩❞❡⑥❧⑦✪❦❁❢✎❦❁❵❩❣r①♣❦♣♦q♦✐❦✎❥❧❦ ✎➽❨ ✻✣✼ ✶ ✼☎✄ ✆ ✬✼✣✜✬✩★➄✬✼✘❩✯✞✝✝✚✜✤ ✪✝✤➼✣✥✖✭✦⑩✬✩✥❃❂✪✫✛✚✥✬✩✥ ❂❧✖✙✘✛✖✎❂✪✫✝✩✤✧✘✛✚✥✦❇✫✛✚✴✳✵✰➅✤❁✪✝✤➼✦✿✤ ❂❧✬✩✥✲✪✝✤➼✤❆✦✿✯✕✿✤❀❂❧✤ ❄ ❅❇✺➍❚❉✺✙❋❁❀❂✾❁❀❬✺✮✻ ✟r❵ ❛⑩⑦❧⑨❧⑨❧❞✛❛③❦r⑥⑧⑦✪❦♥❣❴❞❡⑦✪❛❱♦✐❦♣❛➆❢✎❞✪❢✎❦❁❵✛❣③❛ ✂ ✑ ☞ ✶✸☎ ✌❂♦❬❵ ✎ ✓ ✑ ✟ ❥❧❦r♦❼❫✗❹✲❫✛❪❝❤❬❫✛❸✪♦✐❦▲❫✿♦➇④❦❁❫✭❣❴❞✛❤❬❪❝❦➁♦❼❵ ✎↔❦♣→✪❤✐❛❴❣❴❦❁❵❩❣ ❦♣❣➈⑥❧⑦✪❦ ♦q❤❬❢ ❛⑩⑦❧⑨ ✑✠✟ ➫✎✍ ✶ ✦ ✂ ✑ ✦ ❉☛✡ ✸ ✲ ✳ ☞ ❳ ☞ ✁➁♦✐❞❡❪❝❛✞☛ ❳✛❨✱❻❉❞✪⑦❧❪❱❣❴❞❡⑦✪❣ ✡ ✫✍✌ ✌✥❳ ✯ ☞ ✓ ✗ ✩ ✌✡✞✓✂☞ ➫✎✍ ✎ ✑ ▼ ✏ ✂ ✑ ✌✡ ❅ ❳✞✓ ✑ ❉☛✡ ✉❧❨ ✆✮❫♥❜➋❞✪❵✪①♣❣❴❤✐❞❡❵ ✗❀✩ ✌✡✞✓➃❦♣❛❴❣➈❫✛❵❧❫✿♦✐➙✪❣❴❤✐⑥⑧⑦✪❦♥❥❆❫✛❵✪❛✱♦❬❫❘❸❧❫✛❵✪❥❧❦s❥❆⑦②⑨✪♦❬❫✛❵ ①♣❞❡❢▲⑨✪♦✐❦♣→❡❦ ❆ ✡✿✫❈❇ ❉ ➨●❋ ✌✡ ✓❆✫ ✟ ❳ ❅ ☞ ✯ ❳ ✏ ☞ ☎ ❏ ❈ ❊ ▼❙✺✼✻✼❋♣✾❁❅❇❄❧✾❁❀❂✺✼✻ ✟r❵▲⑦✪❣③❤q♦✐❤✐❛❴❦➁♦✐❦➈❪✪④❦♣❛➇⑦✪♦q❣➇❫✿❣✼❥❧❦✱♦❬❫➁❛❴❦♣①♣❣❴❤✐❞❡❵ ❳✛❨✈❺❧❨✈❺❾❨❁❿❱❦♣❣❴❣❴❦✱⑨❧❪❝❞✪⑨❧❞✛❛❴❤✐❣❴❤✐❞❡❵♥❦♣❛❴❣✝❫✭♦q❞✪❪❝❛➌♦❬❫r❣⑩❪❴❫❩❵✪❛⑩⑨❧❞✛❛③❤q❣③❤q❞✪❵s❥❧❤❬❪❝❦♣①♣❣③❦ ❥✼❷✈⑦❧❵②❣➇➑✝④❦♣❞❡❪♣❶❦❁❢✎❦➈⑨❾❞❡❪❝❣⑩❫✛❵❩❣❱❛⑩⑦❧❪➀♦q❦♣❛➃❜➋❞❡❵✪①♣❣③❤q❞✪❵✪❛➈①❁❫✛❪③❫✿①♣❣❧④❦❁❪⑤❤q❛③❣❴❤✐⑥⑧⑦✪❦♣❛✱❥❧❦s⑨❧❪⑤❦❁❢✎❤➋❶❦❁❪❝❦r❦♣❛⑩⑨✙❶❦♣①♣❦ ☎ ♠❙❦♣❣❴❤✐❹❡❤✐❦❁❪ ✟ ❨ ✻✣✼ ✶ ✼✑✏ ✒✔✓ ✚✜✦❇✫✭✤✡✥✌❂❧✤ ✪✝❁✰ ✥➅✤ ✪✝✤✆✥➅✦✿✚✵✫✝✩✤❁✪✝✤➽✯➅✘✛✬✼✢➅✖➍✢➅✚✥✣✜✚✵✫✝✩✤ ❄ ❅❇✺➍❚❉✺✙❋❁❀❂✾❁❀❬✺✮✻ ❞✛❤✐❣ ✎ ⑦❧❵✪❦➉❹✿❫✛❪❝❤❬❫✛❸✪♦✐❦✱❫✿♦⑩④❦❁❫✿❣③❞✛❤❬❪❝❦✝⑨❧❞✛❛③❤q❣③❤q❹❩❦✛❨ ❤ ✗ ✩ ❦♣❛❴❣✼❤❬❵❩❣❧④❦♣➛✪❪❴❫✛❸✪♦✐❦✝❛⑩⑦❧❪ ☎ ❳ ❅ ✛ ✒ ✯ ❳✂✏✹✛ ✒ ✟ ✡❂✎ ⑨❧❞✛❛❴❛❁❶❦♣❥❧❦ ⑦❧❵✪❦s❥❧❦❁❵✪❛❴❤✐❣❧④❦s❥❧❦s⑨❧❪❝❞✪❸❧❫✛❸✪❤✐♦q❤✐❣❧④❦s①♣❞❡❵❩❣❴❤❬❵✪⑦✪❦s❛⑩⑦❧❪ ➨ ➩➫ ✧✦✩ ✌ ✑ ✓ ☞ ❳ ✉✚✙✜✛ ☞ ✗ ➫✓✤✥✍ ✗ ✔ ✤✥✍ ✑ ✔●✒ ✗❀✩ ✌✡✞✓✦✖ ✡

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