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Etats propres de systèmes classiquement chaotiques dans l'espace des phases

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Submitted on 8 Nov 2001

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Etats propres de systèmes classiquement chaotiques

dans l’espace des phases

Stéphane Nonnenmacher

To cite this version:

Stéphane Nonnenmacher.

Etats propres de systèmes classiquement chaotiques dans l’espace des

phases. Physique mathématique [math-ph]. Université Paris Sud - Paris XI, 1998. Français.

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✒✔✓✖✕✘✗✚✙✜✛✕✣✢✤✕✦✥★✧✩✓✪✢✫✗✭✬✮✗✚✯✪✰✱✓✲✗✳✰✵✴✩✰✣✓✶✗✷✗✚✧✩✯✖✗✷✯✖✓✸✗✚✹✺✰✵✴✻✰✱✬✮✼✾✽✶✕✿✹✚✕✣✥✺✙✖✕✵✹✺✥✺✙✖✕❁❀❃❂✭✕❄✥★✧✩❅❆❅❆✕☞✓✪✥❇✕☞✹✺✰✱✬ ❈ ✰✣✹❊❉❋✰✱✬●✹✭✕☛✼■❍✚❏✕✵✼✮✧✻❑✩✕☛✽▲❍◆▼✔✓✪✽✶✹❃❏✕✔❖✑✧✩✹✚✧❁✢★❀✖P❁✯✖✬◗✰❘✢✤✯❙✰❚✴❁✕❚✥ ❈ ✰✱✗✚✬✮✕✵✓✪✥★✕❁❀❁✽✶✬❯✢ ❈ ✧✩✓✖✬●❱✖✬✮✼●✬✮✗❃❏✕✔✕✵✗✑❑✻✕✵✓✶✗✚✬✮✼●✼✮✕✣✢✚✢✤✕ ❲ ✢✫✯ ❈✶❳✚❨■❈ ✧✩✹✚✗✭✕✵✹✑❅❆✕❚✢▲❱✪✰✱✼●❱✖✯✖✗✭✬●✕✵❅❆✕✵✓✲✗✺✢✜✽◗❍❩✰ ❈❃❈ ✹✭✕✵✓✲✗✭✬ ❳ ✥✺✙✖✕✵✹❬✥❇✙❃✕✵✯✖✹✵❀★✕✵✓❘❅❭❍❪✬✮✓❃✬✮✗✭✬❯✰✱✓✲✗✜✰✣✯✖❫❴✢✫✯✖❱✖✗✭✬●✼✮✬●✗✖❏✕✣✢ ❂✭✯✪✢✚P❵✯✜❍◆✰✱✼●✧✩✹✺✢❛✬●✓✪✥❜✧✻✓✖✓✶✯❃✕✣✢❝✽✶✯✳✢✤✕✵❅❞✬ ❳ ✥❜✼❡✰✻✢✭✢✤✬❯P❵✯❃✕❁❀❁✕✵✓✷❅✘❍❪✬●❅ ❈ ✧❁✢✚✰✱✓✲✗❢✢✭✰✱✓❣✢❤✹✚✕✵✼✭✐✰✻✥❇✙✖✕✞✯✖✓✖✕❥✹✭✬●❑✩✯✖✕✵✯❃✹ ✕✵✗❝✯✖✓❃✕✆✹✚✕✵❅❆✬❯✢✤✕☛✕✵✓✳✥✵✰✱✯✪✢✫✕❦✽✶✧✩✯✖✼●✧✩✯✖✹✚✕✵✯✪✢✫✕✣✢❤❅❙✰✱✬❡✢✑✓❝❏✕✣✰✣✓✖❅❆✧✩✬●✓✪✢❛✬✮✓❣✽✶✬❡✢ ❈ ✕☞✓✪✢✭✰✣❱✖✼✮✕✣✢★❧ ♠♥✰✩✢✚✢✭✰✣✓✶✗❦✽▲❍♦✯✖✓♣❱✖✯❃✹✭✕✣✰✣✯✸✛✰q✼❋❍❩✰✣✯✖✗✭✹✚✕❁❀✣❂✵❍❩✰✣✬r✕✵✯✘✼❯✰❆✥✺✙✪✰✱✓✪✥★✕❴✽✶✕❦❱❝❏✕✵✓✠❏✕❜st✥❜✬✮✕✵✹✞✽✶✕❦✴❁✧✩✬❡✢✫✬✮✓✪✢ ❲ ❈ ✰✣✹ ✧✩✹❬✽✶✹✭✕✾✥❇✙✖✹✚✧✩✓✖✧✻✼✮✧✻❑✩✬❡P❁✯✖✕❁❀✲✉✔✬❯✽✶✬✮✓❣✰✇✈①✕✵✹✭❱✪✰✣✓✜❀t②☛✕✵✧✻✹✭❑✎✈✲✥❇✙❃✹✭✕✵✬●❱t✕☞✹✵❀❁③✘✰✣✹✺✥⑤④❛✧✲✥✵P❁✯✖✕✵✗✑✕✵✗❝②✞✰✱❱❃✹✭✬✮✕☞✼✮✼✮✕ ④❛✧✩✓❃✓✖✕✵✗ ❨ ✕✵❫✲✕✵❅ ❈ ✼❡✰✱✬●✹✭✕✣✢ ❈ ✧✻✯✖✹✷✼✮✕✵✯✖✹✳✽✶✬❯✢✭✥❜✹❃❏✕✵✗✭✬●✧✩✓✸✕✵✗❞✼✮✕✵✯✖✹❞✬✮✓✪✽✶✯❃✼✮❑✩✕☞✓✪✥❜✕⑥✛✰❄❅❆✧✩✓⑦❏✕☞❑❁✰✱✹❬✽▲❧☛⑧✩✕ ✢✤✯❃✬❡✢⑤✰✣✯✪✢✭✢✫✬❊✹✚✕✣✥❜✧✻✓✖✓✪✰✱✬❯✢✭✢✚✰✱✓✲✗❆✛✰✷✉❘❧⑨④❛✕✣✢✭✢✫✬❡✢✔✕✵✗✾▼❘❧▲③♣✕☞⑩✵✬✮✓✪✥★✕✣✢✭✥❜✯ ❈ ✧✩✯✖✹❦✰✵✴❁✧✩✬●✹⑤✢✫✯✿✹✚✕✣✥❜✹❃❏✕☞✕✵✹✔✯❃✓✖✕ ✰✱✗✚❅❆✧❁✢ ❈ ✙⑨✛✕✵✹✚✕❄❶❩❅❷❏✕❚✽✶✬✮✗✚✕✵✹✭✹❬✰✱✓✠❏✕✵✕☞✓✖✓✖✕❁❍❸✰✱✯❹❅❆✬✮✼●✬✮✕✵✯⑥✽✶✯✸❉❺✹✭✧✻✬❡✽ ❈ ✼❯✰✱✗✭✕❚✰✱✯❻✽✶✕❼✈❵✰✩✥❜✼❯✰❚❽⑥✕✵✗✷✽✶✕❾✢✤✕❚✢ ❏ ✕✣P❁✯✪✰✱✗✚✬✮✧✻✓✪✢❜❧ ❿✪✕✔✈❁✕☞✹✭✴✲✬❡✥❜✕✑✽✲✕❝♠♥✙✶❽❃✢✤✬❯P❵✯❃✕❛➀❛✙✠❏✕✵✧✩✹✚✬❡P❁✯✖✕❁❀❜❱❃✬✮✕✵✓❦P❁✯✖✕❛✼☞❏✕✵❑❃✛✕✵✹✚✕✵❅❆✕✵✓✲✗✖✬❯✢✤✧✩✼☞❏✕❝✽✶✯❦❅❆✧✩✓❣✽✶✕❁❀✵✥★✧✩✓✪✢✫✗✭✬ ❳ ✗✭✯❃✕✷✛✰q❅❆✧✻✓✘✰✵✴✲✬❡✢❝✯✖✓✘✼✮✬●✕✵✯♣✬❯✽❛❏✕✣✰✱✼❸✽✶✕❦✹✖❏✕❜➁✪✕☞❫✶✬●✧✩✓♣✕☞✗⑤✽▲❍✚❏✕✵❅✎✯✖✼❡✢✫✬✮✧✩✓✷✬●✓✶✗✚✕✵✼✮✼●✕✣✥❜✗✭✯❃✕✵✼➂✼✮✕❁❧✲③♣✕✣✢❝✗✭✹✚✬✮❱✖✯ ❳ ✼❡✰✣✗✭✬●✧✩✓✪✢❝✢✚✥❜✬✮✕✵✓✲✗✭✬➂s◗P❁✯✖✕✣✢r✧✻✓✶✗☛✢✫✧✩✯✖✴❁✕✵✓✲✗❛✹✚✕✵✗✭✹✚✧✩✯✖✴❢❏✕⑤✼●✕⑤✽✶✹✚✧✩✬●✗☛✥❇✙✖✕☞❅❆✬✮✓❴✼●✧✩✹✺✢❢✽✶✕❥✽✶✬❯✢✭✥❜✯❣✢✭✢✤✬●✧✩✓✪✢❝✰✵✴❁✕✣✥ ❲ ❈ ✰✱✹✭❅❞✬✲✽▲❍❩✰✣✯✖✗✭✹✚✕✣✢ ❨ ③❄❧✻④❝✰✱✯❃✕✵✹✵❀✻⑧✖❧ ❳ ③❄❧❵❿✪✯❣✥❇➃◗❀✱❖✇❧✩♠♥✰✻✢✭P❁✯✖✬✮✕☞✹✵❀✩✈✪❧✶➄✑✹✚✕✣✰✱❑✻✙✜❧❁✉❘❍◆✰✱✯✖✗✚✹✭✕✣✢➅✗✤❽ ❈ ✕✣✢➅✽✶✕ ✽❢❏✕✵❱✪✧✻✬✮✹✭✕❚✢ ❲ ✽✶✕❥✓✪✰✱✗✚✯✖✹✭✕ ❈ ✼✮✯✪✢❛✬●✓✶❉❺✧✩✹✚❅✷✰✱✗✚✬❡P❁✯✖✕⑤✧✻✯✘✰✩✽✲❅❆✬✮✓✖✬❯✢✤✗✚✹✺✰✱✗✚✬✮✴❁✕ ❨ ✧✻✓✶✗☛✕✵✯✷✯✖✓✘✽❢❏✕✵✓✖✧✩✯❃✕✵❅❆✕✵✓✲✗ ✙✖✕✵✯❃✹✭✕✵✯✖❫✷❑✻✹✩✐✰✩✥★✕✘✛✰q✼❋❍❪✬●✓✶✗✚✕✵✹✭✴❁✕✵✓✲✗✭✬●✧✩✓✷✽✲✕❆➄☛❧▲❖✑✕✵✹✭✓✖✕☞❽✶✹✚✕❁❀▲➄☛❧✜④❛✧✩✯❃✹✭❑✩✧✻✬❡✢★❀r❿➅❧✜✉✔✕❆✈❣✛✕☞⑩✵✕❁❀◗➆❛❧✜③✘✰ ❳ ✹✺✰✣❱✪✕✵✼✮✼●✕❁❀▲③❄❧✜②☛✬✮✓✖❑✻✧✩✼❯✽▲❀✜⑧✖❧◗✉✔✕✵✼✮✧✻✯✖✴✲✹✭✬✮✕☞✹✵❀✪④⑤❧✜✈✲✰✵✴❁✕✵✼✮✼●✬■❀✪➆❛❧✜❿✪✕❜❉✚✛✕✵✴✲✹✭✕❁❀◗▼❘❧ ❳ ③❄❧✪▼✔✹✚✓✖✧✩✼❯✽▲❀✜✈✪❧r➇◗✰❚❉ ❳ ❉❋✰✱✓❃✕✵✼✮✼❯✰✶❧✪⑧✩✕❘✗✚✬✮✕✵✓❣✢❘✛✰❴✹✭✕✵❅❞✕✵✹✺✥❜✬●✕✵✹✑❑✩✼●✧✩❱✪✰✣✼✮✕✵❅❆✕☞✓✶✗❝✗✚✧✩✯✖✗✚✕✣✢❤✼●✕✣✢ ❈ ✕☞✹✺✢✤✧✻✓✖✓✖✕✣✢☛✕✵✗❝✬✮✓✪✢✫✗✺✰✣✓✪✥❜✕✣✢☛✰✵❽✲✰✱✓✲✗ ❈ ✕✵✹✭❅❞✬❡✢❊❅❞✧✩✓✷✢✲❏✕✫❂✭✧✩✯✖✹☛✙✖✕✵✯❃✹✭✕✵✯✖❫✎✕✵✓✳✥❜✕✣✢❛❅✎✯✖✹❬✢❛✢✭✰✻✥❜✼❡✰✵❽❃✢✤✬●✕✵✓✪✢❜❧ ▼✔❽✲✰✱✓✲✗❴❱✠❏✕✵✓✠❏✕❜s◗✥❜✬☞❏✕♣✽◗❍❪✯✖✓✖✕❭✥❇✙❣✰✱✹✭❑✻✕✘✽✶✕✳❅❆✧✩✓❃✬✮✗✭✕☞✯✖✹✳✛✰✿✼■❍♦✯✖✓✖✬●✴❁✕✵✹✺✢✫✬✮✗❃❏✕❞✽▲❍➂➈✔✹❬✢✭✰✵❽❁❀✪❂✵❍◆✰✱✬☛✕✵✯➉✼❯✰ ✥✺✙✪✰✱✓✪✥★✕☛✽✶✕✔❅❭❍❪✬✮✓❃✬✮✗✭✬●✕✵✹➅✰✱✯❃❫☛❂✭✧✩✬✮✕❚✢➊✕☞✗✑✰✱✯✖❫ ❈ ✼●✕✵✯✖✹✺✢❸✽✶✕✔✼❋❍❪✕✵✓❣✢✤✕✵✬●❑✩✓✖✕✵❅❞✕✵✓✶✗➅✢✫✯ ❈ ❏ ✕✵✹✚✬✮✕✵✯❃✹✵❀✩❑✻✯✖✬❡✽❢❏✕ ❈ ✰✣✹ ✼■❍♦✕✵❫ ❈ ❏ ✕✵✹✭✬●✕✵✓✪✥❜✕❥✕✵✗❥✼❯✰➋❑✩✕☞✓✶✗✚✬✮✼✮✼●✕✣✢✭✢✫✕✎✽✶✕❞⑧✖❧➊❿✪✧✻✹✭❽❁❀➅⑧✖❧ ❳ ♠➅❧r③✘✰✣✬✮✼●✼✮✕✵✗☞❀✜▼❘❧ ❳ ❿➅❧➅➌❤✧✲✥✺✙✖✕❁❀➅➄☛❧♥♠r✧✻✯✖✗✭✹✚✕✵✗✵❀ ✕✵✗❦✽✶✯❄❑✻✹✭✧✻✯ ❈ ✕ ❈ ❏ ✕✣✽✖✰✣❑✩✧✻❑✩✬❡P❁✯✖✕✷✽✲✕❆③✘➍❆✕✵✓✦❑❸❏✕✵✓✠❏✕✵✹✺✰✣✼■❧➅⑧✖❍❩✰✣✬❛✰✣✯✪✢✭✢✫✬❝✰ ❈✖❈ ✹❃❏✕❚✥❜✬☞❏✕❴✼●✕❆✽❢❏✕☞✴❁✧✩✯✖✕✵❅❞✕✵✓✶✗ ✽✶✕✣✢✑❅❆✕✵❅✎❱✖✹✭✕❚✢r✽✶✯✳➄❢➎✤➏❛✈❞✽✶✕⑤✼❋❍❩✰✻✥✵✰✩✽❢❏✕☞❅❆✬✮✕✠✽✶✕⑤❖✑✕✵✹✺✢✚✰✱✬●✼✮✼✮✕❚✢ ❲ ✕✵✓ ❈ ✰✣✹✭✗✚✬❡✥❜✯✖✼●✬✮✕✵✹❢✈✪❧✖✉✔✧✻✓✷✕✵✗❝⑧✖❧ ❳ ③❄❧ ➐ ✯❝❏✕✵✓✪✰✣✹✺✽✶✕☞✼ ❨ ✽✖✰✱✓❣✢❛✼■❍❩✰✻✢✭✢✫✬❡✢✤✗❬✰✱✓✪✥★✕⑤P❁✯✜❍❪✬●✼❡✢ ❈ ✧✩✹✚✗✭✕✵✓✲✗❝✰✣✯✖❫q✕☞✓✪✢✤✕✵✬●❑✩✓✪✰✣✓✶✗❬✢❊✕✵✓✎✙✖✕✵✹✚❱✪✕❥P❵✯❃✕⑤✢✫✧✩✓✲✗❝✼✮✕✣✢ ❅❆✧✻✓✖✬✮✗✚✕✵✯✖✹✺✢★❧ ➌❤✕☞✴❁✕✵✓✪✰✱✓✲✗❭✛✰❄✽✶✕✣✢ ❈ ✹✖❏✕✵✧✲✥✵✥★✯ ❈ ✰✱✗✚✬✮✧✻✓✪✢ ❈ ✼✮✯✪✢❞✢✭✥❜✬●✕✵✓✶✗✚✬➑s◗P❁✯✖✕✣✢★❀✖❂✭✕✘✹✚✕✵❅❆✕✵✹❬✥❜✬✮✕❆✼●✕✣✢❴❅q✯✖✼●✗✭✬ ❈ ✼✮✕✣✢ ❈ ✕✵✹✺✢✫✧✩✓✖✓❃✕✣✢❛✰✵❽✲✰✱✓✲✗✑✥❜✧✻✓✪✢✭✰✻✥❜✹❃❏✕☛✯✖✓✖✕ ❈ ✰✣✹✭✗✭✬●✕☛✽✶✕☛✼✮✕✵✯✖✹❸✗✭✕✵❅ ❈ ✢ ❈ ✹❃❏✕❚✥❜✬✮✕✵✯❃❫❆✛✰❥❅✘❍✚❏✕❚✥❜✧✩✯✖✗✚✕✵✹✜✕✵✗✑❅✘❍♦✬✮✓✪✢ ❳ ✗✭✹✚✯✖✬✮✹✚✕❦✽✶✕❥✼✮✕✵✯✖✹❬✢❛✼✮✯✖❅❞✬■✛✕✵✹✚✕✣✢❜❧❁⑧✩✕ ❈ ✕✵✓✪✢✫✕❥❱✖✬✮✕✵✓✷✕✵✓✲✗✭✕☞✓✪✽✶✯✳✰✱✯✖❫❙✽✶✬➑➒✞❏✕✵✹✚✕✵✓✶✗❬✢❛❅❆✕✵❅✎❱✖✹✭✕☞✢✑✽✶✯❦❂✭✯✖✹✭❽❭➓ ③❄❧ ❳ ⑧✖❧♥②☛✬❡✰✱✓❃✓✖✧✩✓✖✬❋❀♥✉❘❧❸✉✔✕✵✼❯✰✱✓✪✽✶✕✎✕✵✗✇⑧✖❧♥➔⑤✰✣✓✖✓✪✰✵❽✘❅✘❍❪✧✻✓✶✗⑤❉❋✰✣✬✮✗❥✼■❍♦✙✖✧✩✓✖✓❃✕✵✯✖✹❴✽◗❍❩✰✩✥☞✥❜✕ ❈ ✗✚✕✵✹❦✽▲❍❪✕✵✓ ❉❋✰✱✬●✹✭✕ ❈ ✰✱✹✚✗✭✬●✕⑤✰✵✴✻✰✱✓✲✗✑❅✿✐✕✵❅❆✕❢✽✶✕✞✥❜✧✩✓❃✓✪✰✱✐→●✗✭✹✭✕☛✼❡✰❥✓✪✰✱✗✚✯✖✹✭✕✞✽✶✕☛❅❆✕✣✢r✗✚✹✺✰✵✴✻✰✱✯✖❫◗❧✲➀❛✙✖✬✮✕☞✹✭✹✭❽✎♠❸✰✱✯✖✼❋❀✶P❁✯✖✬ ❅❆✕✠✥❜✧✩✓✖✓❣✰✱✬❡✢✚✢✭✰✣✬✮✗✑✯✖✓ ❈ ✕☞✯q❅❆✬●✕✵✯✖❫◗❀✣✰⑤✕✵✯❴✼❡✰⑤❑✩✕☞✓✶✗✚✬✮✼✮✼●✕✣✢✭✢✫✕❢✽▲❍❩✰✻✢✭✢✤✬❯✢✤✗✚✕✵✹✞✛✰✾❅❙✰⑤✢✤✧✻✯✖✗✭✕✵✓❣✰✱✓✪✥❜✕①❀✩✕✵✓✲✗✭✹✭✕ ✽✶✕✵✯❃❫❄✰✵✴✲✬✮✧✩✓❣✢❜❧♥⑧✩✕❞✹✭✕✵❅❆✕☞✹✺✥❜✬●✕❴✽✶✧✻✯✖❱✖✼✮✕☞❅❆✕✵✓✲✗❘♠➅❧❊❿✪✕✵❱❃➣✆✯✲❉☛✕✵✗q✈✪❧❸✉✔✕✳④❛✬❋✛✕✵✴✲✹✭✕ ❈ ✧✻✯✖✹❴✼■❍♦✬✮✓✲✗✖❏✕✵✹✣✐✕✵✗ ✢✤✧✻✯✖✗✭✕☞✓✶✯⑥P❁✯✜❍❪✬●✼❡✢✆❅❭❍❪✧✩✓✲✗❘❅❙✰✱✓✖✬➂❉❺✕✣✢✤✗❃❏✕❆✽✶✕ ❈ ✯✖✬❡✢❘✼●✕✷✽❢❏✕✵❱❃✯✖✗✎✽✶✕✷✼❡✰♣✗✚✙✜✛✕✣✢✤✕①❀r✕✵✗↔❏✕✵❑①✰✱✼●✕✵❅❆✕✵✓✲✗ ❈ ✧✻✯✖✹ ✰✵✴❁✧✩✬●✹❥✢✤✯ ❈❃❈ ✧✻✹✭✗❃❏✕q✼❯✰❙✗✻✐✰✩✥✺✙✖✕❴✬✮✓❃❑✩✹✺✰✣✗✭✕✎✽✶✕✎✹✺✰ ❈✖❈ ✧✩✹✚✗✭✕✵✯✖✹❬✢ ❲ ❈ ✼●✯✖✗✩✐✧✻✗❘✽✲✕✵✯✖❫➋❉❺✧✻✬❡✢❥P❁✯✜❍❪✯✖✓❃✕ ❨ ❧◗⑧✩✕❴✹✭✕ ❳ ❅❆✕✵✹❬✥❜✬✮✕❢✰✣✯✪✢✭✢✫✬↕➈❦❧❁④❛✧✻✙✖✬✮❑①✰✩✢ ❈ ✧✩✯✖✹❢✢✫✕✣✢♥✕✵✓✪✥❜✧✻✯✖✹✺✰✣❑✩✕✵❅❆✕☞✓✶✗❬✢r✥❜✧✻✓✪✢✤✗❬✰✱✓✲✗✺✢♥✕✵✗✑✢✫✧✩✓✷✰✣✬❡✽✶✕ ❈ ✹✖❏✕✣✥❜✬●✕✵✯✪✢✫✕❁❀ ③❄❧t✈❵✰✱✹✺✰✻✥❜✕✵✓✖✧ ❈ ✧✻✯✖✹⑤✢✫✕✣✢❛✥★✧✩✓✪✢✫✕✵✬✮✼❯✢❊✕✵✗☛✢✫✕✣✢✎❏✕✣✥★✼❡✰✱✬●✹✺✥❜✬❯✢✭✢✫✕✵❅❆✕✵✓✲✗✺✢✜❅q✯❃✼✮✗✭✬ ❈ ✼✮✕❚✢❜❧❁➎■✼✪❅❆✕❝❉❋✰✱✯✪✽✶✹❬✰✱✬●✗❝✕✵✓ ❉❋✰✱✬●✗❆✥★✬✮✗✭✕☞✹❘✯✖✓✖✕✳❱✪✧✩✓✖✓✖✕ ❈ ✰✱✹✚✗✭✬●✕♣✽✲✕✣✢ ❈ ✰✱✹✭✗✚✬❡✥❜✬ ❈ ✰✱✓✲✗✺✢✎✰✱✯❹✈❁✕✵❅❆✕❚✢✤✗✭✹✚✕ ❏ ➏❝❧❢④❛✧✩✹✚✕✵✼☛✥❜✧✩✓❣✢✭✰✩✥★✹✖❏✕✘✰✣✯ ✥✺✙✪✰✱✧①✢❝P❵✯✪✰✣✓✶✗✚✬❡P❁✯✖✕❁❀❃P❵✯✖✬◗❅✘❍❪✧✻✓✶✗ ❈ ✕✵✹✚❅❆✬❡✢❢✽✶✕⑤❅✘❍♦✧✩✹✭✬●✕✵✓✲✗✭✕✵✹♥✯❃✓ ❈ ✕✵✯✳✽✖✰✣✓✪✢❝✼❡✰❝❂✭✯✖✓✖❑✻✼✮✕❥✽✲✯✘✢✤✯❚❂✭✕✵✗✵❧ ✒✔✓✖✕✦✗✭✙⑨✛✕❚✢✤✕✦✓✖✕❄✢✫✕✿✓❃✧✩✯✖✹✚✹✭✬✮✗ ✰✩✢✳P❵✯❃✕❄✽▲❍✚❏✕✣P❁✯✪✰✱✗✚✬✮✧✩✓❣✢❜❀❝❅✷✰✱✬❯✢➙❏✕☞❑❁✰✱✼●✕✵❅❆✕✵✓✲✗✷✽✶✕ ✕✵✹✚✬✮✧✲✽✶✕❚✢❏

(3)

✽✶✕✦✹✭✕ ❈ ✧①✢➋✕✵✗✳✽✶✕❾✽❛❏✕✵✗✚✕✵✓✶✗✚✕ ✓✜❍♦✕✵✓❻✽❛❏✕ ❈ ✼❯✰✱✬❡✢✫✕⑥✛✰➉✥❜✕☞✹✭✗✺✰✣✬✮✓✪✢✷✢✫✗✺✰✱➃✲✙✪✰✣✓✖✧✣✴✶✬❯✢✤✗✭✕❚✢ ❨ ❧☛⑧✩✕✦✹❃❏✕✣✰✣✼✮✬❯✢✤✕❷✛✰ P❁✯✖✕✵✼ ❈ ✧✩✬●✓✶✗❆❅❞✕✣✢ ❈ ✕✵✗✭✬●✗✭✕✣✢❆❶❬❏✕✣✥✺✙✪✰ ❈✖❈ ❏ ✕✵✕✣✢❘❅✎✯✪✢✫✬❡✥✵✰✣✼✮✕✣✢★❍r✧✩✓✲✗ ❈ ✯❹✥❜✧✩✓✲✗✭✹✚✬✮❱✖✯❃✕✵✹✘✛✰✘✯✖✓⑦❏✕✣P❁✯✖✬●✼✮✬✮❱❃✹✭✕ ❅❆✕✵✓✲✗✺✰✣✼ ❈ ✹✖❏✕✣✥✵✰✣✬✮✹✚✕➙➓❛✼✮✧✻✯❝❏✕✣✢✷✢✤✧✻✬✮✕✵✓✲✗✳✽✶✧✩✓✪✥✘✼✮✕❚✢q❅❆✕✵❅✎❱✖✹✭✕❚✢❴✽▲❍❩✒✔✗✂✁✱✕❁❀❝✼✮✕✦✥★✧✩✓✪✢✫✕✵✹✭✴✻✰✱✗✚✧✩✬●✹✭✕❾✽✶✯ ✄ ✕①❀❛③✘✰✣✹✺✥♣♠❸✰✱✗✺✰✣✹✺✽➉✕✵✗❞✢✤✕❚✢❆✰✩✥❜✧✻✼✮❽✲✗✭✕✣✢★❀✑♠♥✙✖✬✮✼●✬ ❈✖❈ ✕♣✕☞✗❆④❞❏✕✵✹✚✕✵✓✖❑❃✛✕✵✹✭✕❁❀➅✕✵✗✎✼✮✕✣✢❘❉❋✰✱❅❆✕☞✯✖❫➙➀❛✙✠❏✕✣✢❭✛✰ ✼❡✰ ❈ ✧✻✬✮✹✚✕❁❧❤➄✑✧✻❅❆❅❆✕❆✬●✼✔❅❞✕➋✹✚✕✣✢✤✗✚✕♣✯✖✓ ❈ ✕✵✯❹✽✲✕ ❈ ✼❯✰✩✥❜✕✳✕✵✓✸❱✪✰✩✢❞✽✶✕ ❈ ✰✣❑✩✕❁❀⑨❂✭✕♣❅❆✕ ❈ ✕✵✹✭❅❞✕✵✗✺✢ ✽▲❍✚❏✕✵❑✩✹✚✕✵✓✖✕✵✹✇P❵✯✖✕☞✼❡P❁✯✖✕✣✢⑤✓✖✧✩❅❙✢❘✽✶✕ ❈ ✕✵✹❬✢✤✧✻✓✖✓✖✕✣✢❴✰✵❽✲✰✱✓✲✗❘✹✚✕✵✓✪✽✶✯⑥✥❜✕☞✗✭✗✭✕ ❈ ❏ ✕✵✹✚✬✮✧✲✽✶✕ ❈ ✼✮✯✪✢❴✰✣❑✩✹❃❏✕✣✰✱❱✖✼●✕ P❁✯✜❍❪✕✵✼●✼✮✕❝✓✜❍◆✰✱✯✖✹❬✰✱✬●✗✎❏✕☞✗✖❏✕⑤✕✵✓❞✼✮✕✵✯✖✹❢✰✣❱✪✢✤✕✵✓❣✥❜✕ ❲ ✼●✕✣✢❊✧✻✯✖❱✖✼●✬✵❏✕ ❲ ✕ ❨ ✢ ❈ ✕✵✯✖✴❁✕✵✓✲✗❢✢✤✕❥✢✫✬✮❑✻✓✪✰✱✼●✕✵✹✵❀❁✬✮✼✪❅❆✕❝✹✚✕✣✢✤✗✚✕ ➍✆❅❞✧✩✬❡✢ ❈ ✧✻✯✖✹☛✥❜✧✻✹✭✹✭✬●❑✩✕✵✹ ❨ ➓❣➄❢✰✣✗✭✙✖✕☞✹✭✬✮✓❃✕ ❲ ✢ ❨ ❀✲✉✔✬✮✕☞✗✭✹✭✬❯✥❇✙✆☎ ➄✑✧✖❧✮❀✲③✘✰✣✹✭✬✮✧✻✓✜❀✲⑧✩✧❁✰✣✓✜❀✖▼✔✼●✬❡✰✲❀✶③✘✰✣✗✭✙✖✬❯✢❜❀ ❿◗✰✱✯❃✹✭✕✵✓✪✥★✕❁❀❵➄ ✕❚✽✶✹✭✬❯✥✩❀❏ ❏ ➏♥✼✮✬❡✢✚✰✱❱✪✕✵✗✚✙✜❀✩➔✳❏✕✵✼❋✛✕✵✓❃✕❁❀✣▼✔✓✖✓✖✕ ❲ ✢ ❨ ❀✣➎✫✢✭✰✱❱✪✕✵✼●✼✮✕❁❀✩❿✪✬●⑩❁❀❁②✔✬●✼✮✼●✕✣✢❜❀✩✈➊❏✕☞✼✮✬✮❅❭❀❜③♣✧✻✓✖✬✮➃✻✰✲❀ ✉⑤✰✵✴✲✬❡✽ ❲ ✢ ❨ ❀✪⑧✩✬●✓✶✗❬✰✱✬❋❀✖⑧✩✯✖✼●✬✮✕❁❀❁✼❡✰❴✗✭✹✚✬✮❱✖✯✞✝✔✧✻✓✖✓✖✕✵✓⑨❀t➄✎❏✕✣✥❜✬●✼✮✕❁❀✲➀➅✰✱✹✚✕✵➃▲❀✠✟❥✰✣✗✭✬❡✰✲❀✪▼✔✹✭✯❃✓✜❀✖✕✵✗✺✥☛✕✵✗✺✥✩❧●❧

(4)

✂☎✄✝✆ ✞ ✂ ➄✑✕❴✗✭✹❬✰❚✴✻✰✣✬✮✼❸✰ ❈ ✧✻✯✖✹❥✧✩❱✲❂✭✕✵✗☛✼■❍✚❏✕✵✗✭✯✪✽✲✕❴✽✶✕✣✢✞✢✤❽❃✢✤✗☞✛✕☞❅❆✕✣✢❝✽✶❽✲✓✪✰✱❅❞✬❡P❁✯✖✕✣✢☛P❵✯✪✰✣✓✶✗✚✬❡P❁✯✖✕✣✢☛✽✶✧✩✓✲✗⑤✼❯✰ ✼✮✬●❅❆✬✮✗✚✕⑤✥★✼❡✰✩✢✚✢✤✬❯P❵✯✖✕❥✕✣✢✫✗⑤✥✺✙✪✰✣✧✩✗✭✬❯P❵✯❃✕❁❀✖✕✵✗❝✕✵✓ ❈ ✰✱✹✚✗✭✬❡✥★✯✖✼✮✬●✕✵✹❝✽✶✕❦✼✮✕✵✯❃✹✺✢❆❏✕✵✗❬✰✱✗✺✢☛✼✮✬☞❏✕❚✢❜❧ ✝☛✧✩✯✪✢❝✓✖✧✩✯❣✢✔✹✭✕ ❳ ✢✤✗✚✹✭✕✵✬●❑✩✓✖✧✻✓✪✢❝✛✰⑤✽✲✕✣✢r✢✫❽✖✢✫✗☞✛✕✵❅❞✕✣✢▲✯✖✓✖✬❯✽✶✬✮❅❆✕☞✓✪✢✤✬●✧✩✓✖✓✖✕☞✼❡✢❜❧✣❿✪✕✣✢❥❏✕✵✗✺✰✣✗✺✢✑P❵✯❣✰✱✓✲✗✭✬❡P❁✯✖✕✣✢✜✢✫✧✩✓✲✗♥✹✭✕ ❈ ✹❃❏✕✣✢✫✕✵✓✲✗✖❏✕✣✢ ❈ ✰✣✹❛✽✲✕✣✢♥✽✶✕✵✓❣✢✤✬✮✗❃❏✕✣✢♥✽✶✕ ❈ ✹✭✧✩❱❣✰✱❱✖✬●✼✮✬✮✗❃❏✕❝✽✖✰✣✓✪✢♥✼■❍♦✕✣✢ ❈ ✰✻✥❜✕❝✽✲✕✣✢ ❈ ✙✪✰✻✢✤✕✣✢ ❲ ✽✶✕✵✓✪✢✫✬✮✗❃❏✕❚✢♥✽✶✕☛➔✔✯✪✢✫✬✮❅❆✬ ❨ ❀☞✰❚s✪✓ ✽✶✕❝✼●✕✣✢♥✥❜✧✻❅ ❈ ✰✱✹✚✕✵✹✵❀✣✽❃✰✱✓✪✢♥✼❡✰⑤✼●✬✮❅❆✬●✗✭✕✑✢✫✕✵❅❆✬ ❳ ✥❜✼❯✰✩✢✭✢✫✬❡P❁✯✖✕❁❀☞✰✱✯✖❫❴❅❆✕❚✢✤✯✖✹✚✕✣✢↕✬●✓✶✴✻✰✣✹✭✬❡✰✣✓✶✗✚✕✣✢➅✥❜✼❡✰✻✢✭✢✤✬❯P❵✯❃✕✣✢❜❧ ✉✔✕❥❉❋✰✠✟✥❜✧✻✓✦✽✶✯✪✰✱✼●✕❁❀✖✗✭✧✻✯✖✗❭❏✕✵✗❬✰✱✗✞P❵✯❣✰✱✓✲✗✭✬❡P❁✯✖✕ ❈ ✕✵✯✖✗✎✐✕☞✗✭✹✭✕❥✹✚✕✣✥❜✧✩✓❣✢✤✗✭✹✚✯✖✬✮✗✇✛✰ ❈ ✰✣✹✭✗✚✬✮✹✞✽✶✕❘✼❯✰☛✡✌☞✎✍✑✏✌✒✔✓✖✕✘✗ ✕✚✙✛✒✚✜✢☞✣✍❆❉❺✧✩✹✚❅✸❏✕✵✕ ❈ ✰✣✹❝✼✮✕✣✢❛⑩⑨❏✕✵✹✭✧①✢❝✽✶✕❦✢✭✰✎✽✶✕✵✓✪✢✫✬✮✗❃❏✕❦✽✶✕❦➔✔✯❣✢✤✬✮❅❞✬■❧ ✝✔✧✩✯❣✢⑤✰✱❅❆✧✻✹✤✟✥❜✧✻✓✪✢❝✼■❍✚❏✕☞✗✭✯✪✽✶✕ ❈ ✰✱✹⑤✯❃✓✘✢✤❽❃✢✤✗☞✛✕✵❅❆✕❥✙✪✰✣❅❆✬✮✼●✗✭✧✩✓❃✬✮✕✵✓❆✬●✓✶✗❃❏✕✵❑✩✹❬✰✱❱✖✼●✕ ❈ ✹❃❏✕✣✢✫✕✵✓✲✗✺✰✱✓✲✗☛✯✖✓ ❈ ✧✩✬●✓✶✗❝s✪❫✲✕✆✬●✓✪✢✤✗❬✰✱❱✖✼●✕❁❧✪✒✔✓✖✕❦✰ ❈✖❈ ✹✭✧✣❫✲✬✮❅✷✰✣✗✭✬●✧✩✓✦✥ ✟❥④ ✯✖✓❃✬➑❉❺✧✩✹✚❅❆✕ ❈ ✹☞✛✕✣✢❝✽✶✕❦✼■❍✚❏✕☞✓✖✕✵✹✭❑✻✬✮✕❥✥★✹✭✬✮✗✚✬❡P❁✯✖✕ ❉❺✧✩✯❃✹✭✓✖✬●✗❛✯✖✓✖✕✾✽✶✕✣✢✭✥★✹✭✬ ❈ ✗✭✬✮✧✻✓✷✢✤✕☞❅❆✬ ❳ ✥❜✼❡✰✻✢✭✢✫✬❡P❁✯✖✕ ❈ ✹❃❏✕✣✥❜✬❯✢✤✕✞✽✶✕✣✢✎❏✕☞✗✺✰✱✗❬✢ ❈ ✹✭✧ ❈ ✹✭✕❚✢⑤➓❵✗❬✰✱✓✪✽✲✬❡✢❝P❁✯✖✕✔✼●✕✵✯✖✹❬✢ ✽✶✕✵✓❣✢✤✬✮✗❃❏✕✣✢❥✽✶✕❞➔✔✯✪✢✤✬●❅❆✬➅✢✤✕❞✥❜✧✻✓✪✥❜✕✵✓✲✗✭✹✚✕✵✓✶✗✾✢✤✯✖✹❥✼❡✰✷✢✲❏✕ ❈ ✰✱✹❬✰✱✗✚✹✭✬❡✥★✕❁❀✜✼✮✕✣✢⑤✥★✧✩✓✪✢✫✗✭✕✵✼●✼❡✰✱✗✚✬✮✧✻✓✪✢❥✽✶✕q⑩⑨❏✕✵✹✭✧①✢ ✢❜❍◆✰✱✼●✬✮❑✩✓❃✕✵✓✶✗❢✼✮✕❥✼✮✧✻✓✖❑❞✽✶✕❥✼✮✬✮❑✻✓✖✕✣✢❢✽▲❍❩✰✣✓✶✗✚✬ ❳ ✈❁✗✭✧✻➃❁✕✣✢❜❀❢❏✕✵❑❁✰✣✼✮✕✵❅❆✕☞✓✶✗❢✽✶✕❥✓✪✰✣✗✭✯✖✹✚✕❴✥❜✼❯✰✩✢✭✢✫✬❡P❁✯✖✕❁❧ ✝✔✧✩✯❣✢❴✥❜✧✩✓✪✢✫✬❡✽❢❏✕☞✹✭✧✩✓❣✢✆✕✵✓✪✢✫✯✖✬✮✗✚✕✷✽✶✕✣✢❥✗✭✹❬✰✱✓✪✢■❉❺✧✩✹✭❅❙✰✱✗✭✬●✧✩✓✪✢❦✥✵✰✱✓❃✧✩✓✖✬❯P❵✯✖✕❚✢✆✙✲❽ ❈ ✕✵✹✚❱t✧✻✼✮✬❯P❵✯✖✕❚✢❘✢✤✯❃✹ ✯✖✓❄✕❚✢ ❈ ✰✻✥❜✕✷✽✶✕✣✢ ❈ ✙✪✰✻✢✤✕✣✢❴✥❜✧✻❅ ❈ ✰✻✥❜✗ ❲ ✼●✕❆✗✭✧✻✹✭✕ ❨ ❀➅P❵✯✖✬❢✢✫✧✩✓✲✗❴✗✭✹☞✛✕❚✢✆✥✺✙✪✰✣✧✩✗✭✬❯P❵✯❃✕✣✢❜❀✜✕✵✗✇P❵✯✜❍♦✧✩✓➙✢✚✰✱✬●✗ P❁✯✪✰✱✓✲✗✭✬➂s✪✕✵✹✷➓❢✥❜✕✳✢✤✧✩✓✲✗✎✼✮✕✣✢✎✰ ❈✖❈ ✼✮✬❡✥☞✰✱✗✭✬●✧✩✓✪✢✎✽✶✯❷✥❇✙✪✰✣✗❆✽◗❍❩▼✔✹✚✓✖✧✩✼❯✽↔✕☞✗❆✽✶✯⑥❱✪✧✩✯✖✼❯✰✱✓✖❑✻✕✵✹✵❧✔❿✪✕❭✥✵✰ ❳ ✹✺✰✻✥❜✗☞✛✕☞✹✭✕❥✰✣✹✭✬✮✗✚✙✖❅❷❏✕✵✗✚✬❡P❁✯✖✕☛✽✶✕✣✢ ❈ ✹✭✕✵❅❆✬❋✛✕✵✹✭✕❚✢ ❈ ✕✵✹✭❅❆✕☞✗❛✽✲✕❥✥❜✧✩✓❣✢✤✗✭✹✚✯✖✬✮✹✚✕❦✽✶✕✣✢➊❉❋✰✣❅❆✬✮✼●✼✮✕✣✢✑✽▲❍✚❏✕✵✗✺✰✣✗✺✢✑✗✭✹☞✛✕❚✢ ❈ ✰✣✹✭✗✭✬❯✥❜✯✖✼●✬✮✕✵✹❬✢❜❀❁✰ ❈✖❈ ✕✵✼☞❏✕✣✢★✧✓✩✒✔✙✪✒✫✏✬✡✮✭✯✜✘✏✌✒✔✙✣✕✰✕✱✜✱✍✲✏➊✕☞✓q✹❬✰✱✬❡✢✫✧✩✓✷✽✲✕⑤✼❡✰✔❉❺✧✩✹✚❅❆✕☛✽✶✕⑤✼●✕✵✯✖✹❬✢❊✥★✧✩✓✪✢✫✗✭✕✵✼●✼❡✰✱✗✚✬✮✧✻✓✪✢❜❧ ♠♥✼✮✯✪✢❛❑❸❏✕✵✓❝❏✕✵✹❬✰✱✼✮✕☞❅❆✕✵✓✲✗✵❀✩✓✖✧✻✯✪✢❝❅❆✧✩✓✲✗✭✹✚✧✩✓✪✢❝P❁✯✖✕⑤✼●✕✣✢❆❏✕✵✗✺✰✣✗✺✢ ❈ ✹✚✧ ❈ ✹✚✕✣✢☛✽✶✕❦✥❜✕✣✢❛✢✫❽✖✢✫✗☞✛✕✵❅❞✕✣✢❛✢✫✧✩✓✲✗ ❱✖✬●✕✵✓❆❅❆✧✲✽❢❏✕☞✼✮✬❡✢✲❏✕✣✢❜❀✳✓✖✍✵✴✶☞✖✷✑✓✖✍✳✍✸✓✣❀ ❈ ✰✱✹☛✽✶✕❚✢q❏✕✵✗❬✰✱✗✺✢❝✰✣✼☞❏✕✣✰✣✗✭✧✻✬✮✹✭✕❚✢❊❑❁✰✣✯✪✢✭✢✫✬✮✕✵✓❣✢✆➓✲✼✮✕✵✯✖✹❬✢❛✽✶✕☞✓✪✢✤✬●✗✖❏✕✣✢❢✽✶✕ ➔✔✯✪✢✫✬✮❅❆✬❋❀✩✰✣✬✮✓✪✢✫✬◗P❵✯✖✕☛✼✮✕☞✯✖✹✺✢✑✥❜✧✻✓✪✢✤✗✚✕✵✼✮✼❯✰✱✗✭✬●✧✩✓✪✢★❀✲✢✤✧✩✓✲✗❝✢✫✕✵❅❆✬ ❳ ✥❜✼❯✰✩✢✚✢✤✬❡P❁✯✖✕✵❅✎✕✵✓❁✗❦❏✕✣P❁✯✖✬❡✽✶✬❯✢✤✗✚✬✮❱✖✯✠❏✕☞✕✣✢♥✢✤✯❃✹ ✼✮✕✷✗✚✧✩✹✭✕①❀♥❅✷✰✱✬❯✢ ❈ ✹❃❏✕✣✢✫✕✵✓✲✗✭✕✵✓✲✗❘✓✠❏✕❚✰✱✓✖❅❆✧✻✬✮✓✪✢❴✽✲✕✣✢✇➁❣✯✪✥❜✗✭✯❣✰✱✗✭✬●✧✩✓✪✢✎P❁✯✪✰✱✓✲✗✭✬❯P❵✯✖✕❚✢❘✯✖✓✖✬✮✴❁✕☞✹✺✢✤✕☞✼✮✼✮✕❚✢❜❧ ✛ ▼ ✼■❍♦✧ ❈✖❈ ✧①✢✶❏✕❁❀✲✬✮✼✪✢✫✕✵❅q❱❃✼✮✕❝P❁✯✖✕⑤✼●✕✣✢✑✥✵✰✱✹❬✰✩✥❜✗❃❏✕✵✹✭✬❯✢✤✗✚✬❡P❁✯✖✕✣✢♥✢ ❈ ❏ ✕✣✥❜✬➂s◗P❵✯❃✕✣✢☛✛✰✆✯✖✓⑥❏✕✵✗✺✰✣✗ ❈ ✹✚✧ ❈ ✹✚✕✹✜✱✍✻✺✤✜✽✼✩✜✽✺✑✾✪✓✖✕ ❲ ❈ ✰✱✹❴✕✵❫✲✕✵❅ ❈ ✼●✕❴✯✖✓✖✕✿✡✮✜✫✡✌✙✪✒✢✭✮✜✽✡❀✓❴✢✫✯✖✹❴✯✖✓ ❈ ✧✩✬✮✓✲✗ ❈ ❏ ✕✵✹✚✬✮✧✲✽✶✬❯P❵✯❃✕✷✥❜✼❡✰✻✢✭✢✫✬❡P❁✯✖✕ ❨ ✢✫✧✩✬●✕✵✓✶✗✇✥❜✧✲✽❢❏✕✵✕❚✢❴✽✶✕ ❉❋✰✠✟✥★✧✩✓♣✹✚✧✩❱✖✯❣✢✤✗✭✕ ❈ ✰✣✹✔✼●✕✣✢ ❈ ✹✚✕✵❅❆✬✮✕☞✹✺✢✑✥❜✧❁✕✌❁❙✥❜✬✮✕☞✓✶✗❬✢❛✽✶✕❦➆✖✧✩✯✖✹✚✬✮✕✵✹✠✽✶✕❴✢✚✰❴✥❜✧✩✓❣✢✤✗✭✕☞✼✮✼❡✰✣✗✭✬●✧✩✓✜❧

(5)
(6)

✄✄✂✆☎✞✝✠✟✡✂ ➀❛✙✖✕✘✰✣✬✮❅ ✧✣❉❦✗✭✙✖✬❯✢☞☛❛✧✩✹✚➃➙✬❡✢❴✗✭✧❾✢✤✗✭✯❣✽✶❽⑥✥❜✼❡✰✻✢✭✢✤✬❯✥✵✰✱✼●✼✮❽❾✥❇✙❣✰✱✧✩✗✚✬❡✥✳P❵✯✪✰✣✓✶✗✚✯✖❅ ✢✫❽✖✢✫✗✭✕✵❅✷✢★❧ ✥✦✕ ✹✭✕❚✢✤✗✭✹✚✬❡✥❜✗✑✧✻✯✖✹✺✢✫✕✵✼✮✴❁✕✣✢➅✗✭✧❘✧✻✓✖✕ ❳ ✽✶✬✮❅❞✕✵✓✪✢✤✬●✧✩✓✪✰✣✼✪✽✶❽✲✓✪✰✱❅❞✬❡✥✵✢★❀❁✰✱✓✪✽ ❈ ✰✵❽✎✰ ❈ ✰✣✹✭✗✭✬❯✥❜✯✖✼❯✰✱✹❢✰✱✗✚✗✭✕✵✓✲✗✭✬●✧✩✓❆✗✚✧ ✕✵✬●❑✩✕✵✓✪✢✫✗✺✰✣✗✭✕✣✢★❀↕✯❣✢✤✬✮✓❃❑✘❱t✧✻✗✭✙➙✰✣✓✪✰✱✼●❽✶✗✚✬❡✥✵✰✣✼❢✰✱✓✪✽❄✓✲✯✖❅❆✕✵✹✚✬❡✥✵✰✣✼r❅❆✕☞✗✭✙✖✧✲✽✖✢★❧ ➐ ✯❣✰✱✓✲✗✭✯✖❅ ✢✤✗❬✰✱✗✭✕❚✢❘✰✱✹✚✕ ✹✭✕ ❈ ✹✭✕✣✢✫✕✵✓✲✗✭✕✣✽✿✯❣✢✤✬✮✓❃❑ ❈ ✙✪✰✩✢✫✕✘✢ ❈ ✰✩✥❜✕ ❈ ✹✚✧✩❱✪✰✣❱✖✬✮✼●✬✮✗✫❽❾✽✶✕✵✓✪✢✫✬✮✗✭✬●✕✣✢ ❲ ➔✔✯✪✢✫✬✮❅❆✬❢✽✶✕✵✓❣✢✤✬✮✗✚✬✮✕✣✢ ❨ ❀❸✢✤✧✦✗✭✙✪✰✣✗ ✗✭✙❃✕✵❽❄✥☞✰✱✓❄❱✪✕❆✕✣✰✻✢✤✬●✼✮❽❾✥❜✧✩❅ ❈ ✰✱✹✭✕❚✽ ✗✚✧✘✥❜✼❯✰✩✢✭✢✫✬❡✥✵✰✣✼✮✼●❽✘✬✮✓✲✴✩✰✣✹✭✬❯✰✱✓✲✗✆❅❞✕✣✰✩✢✫✯✖✹✭✕✣✢★❀✜✬✮✓❄✗✚✙✖✕✷✢✤✕☞❅❆✬❡✥❜✼❯✰✩✢ ❳ ✢✤✬❯✥✵✰✱✼✑✼●✬✮❅❆✬●✗✵❧▲➈☛✓❄✗✭✙❃✕q✧✻✗✭✙✖✕✵✹❥✙✪✰✣✓✪✽▲❀❸✰♣P❁✯✪✰✱✓✲✗✭✯✖❅ ✢✫✗✺✰✣✗✭✕❞✥✵✰✱✓❄❱✪✕❆❱❃✯✖✬✮✼●✗❥✽✶✬✮✹✚✕✣✥❜✗✚✼✮❽➋❉❺✹✚✧✩❅✄✗✚✙✖✕ ➃✲✓✖✧✌☛❝✼✮✕✣✽✶❑✻✕❥✧✱❉❸✬✮✗✺✢✹✡❀☞✣✍✑✏❀✒ ✓✖✕✰✕✚✙✪✒✢✜✚☞✎✍✜❀✖✬■❧♦✕❁❧❁✗✭✙✖✕❦✢✤✕☞✗❝✧✱❉✑⑩✵✕☞✹✭✧❁✢❛✧✣❉✑✬✮✗❬✢❝➔✔✯✪✢✫✬✮❅❆✬◗✽✶✕✵✓❣✢✤✬✮✗✫❽❁❧ ✥✿✕☛s✪✹✺✢✫✗☛✢✤✗✭✯❣✽✶❽✷✰✱✓✷✬●✓✶✗✚✕✵❑✩✹❬✰✱❱✖✼●✕⑤➔⑤✰✣❅❆✬✮✼●✗✭✧✻✓✖✬❡✰✣✓❆✢✫❽✖✢✫✗✭✕✵❅✍☛❝✬✮✗✚✙♣✰✆s❣❫✶✕✣✽✎✯✖✓✪✢✤✗❬✰✱❱✖✼●✕ ❈ ✧✩✬●✓✶✗☞❧ ▼ ❈ ✹✚✕✣✥❜✬❡✢✫✕✎✽✶✕✣✢✚✥❜✹✭✬ ❈ ✗✭✬●✧✩✓✦✧✱❉☛➔☛✯✪✢✤✬●❅❆✬➅✽✶✕✵✓✪✢✫✬✮✗✚✬✮✕✣✢✔✧✣❉☛✕✵✬✮❑✻✕✵✓✪✢✫✗✺✰✱✗✚✕✣✢✔✓✖✕❚✰✱✹❘✗✚✙✖✕✎✥❜✹✚✬✮✗✭✬❯✥✵✰✱✼➅✕✵✓✖✕☞✹✭❑✩❽ ✬❡✢ ❈ ✹✭✧✣✴✶✬❯✽✶✕✣✽❄❱✲❽❄✯✖✓✖✬➂❉❺✧✩✹✭❅ ✥ ✟✆④ ✰ ❈❃❈ ✹✭✧✣❫✲✬✮❅✷✰✣✗✭✬✮✧✻✓✪✢❜❧ ✥✸✙✖✬✮✼●✕✳✽✶✕✵✓✪✢✫✬✮✗✭✬●✕✣✢❴✥❜✧✻✓✪✥❜✕✵✓✲✗✭✹❬✰✱✗✭✕❞✕✵❫ ❳ ❈ ✧✩✓✖✕☞✓✶✗✚✬❡✰✱✼●✼✮❽✷✰✣✹✭✧✻✯✖✓✪✽➋✗✚✙✖✕❴✢✫✕ ❈ ✰✣✹✺✰✱✗✚✹✭✬●❫▲❀✖⑩✵✕☞✹✭✧❁✢❝✰✣✹✭✕✇✽✶✬❡✢✫✗✭✹✭✬●❱✖✯✖✗✚✕✣✽✷✰✱✼✮✧✻✓✖❑❞✥❜✼❡✰✻✢✭✢✤✬❯✥✵✰✱✼●✼✮❽❞✽✶✕❜s✪✓❃✕✣✽ ❲ ✰✣✓✶✗✚✬ ❳ ✈❁✗✭✧✻➃❁✕✣✢ ❨ ✼●✬✮✓✖✕❚✢❜❧ ✥✿✕☛✗✭✙❃✕✵✓❆✢✫✗✭✯✪✽✲❽❆✰✣✹✭✕✣✰ ❳■❈ ✹✚✕✣✢✤✕☞✹✭✴✲✬✮✓✖❑❥❅✷✰ ❈ ✢♥✧✩✓❆✗✚✙✖✕✔✗✚✧✩✹✚✯✪✢❜❀❁✬✮✓ ❈ ✰✣✹✭✗✭✬❯✥❜✯✖✼❯✰✱✹❢▼✔✹✭✓❃✧✩✼❡✽◗❍❩✢❛❶➂✥✵✰✣✗✵❍ ❅✷✰ ❈ ✢✜✰✱✓✪✽⑤✗✚✙✖✕✑❱✪✰✱➃❁✕✵✹☞❍❩✢▲❅✷✰ ❈ ❀✎☛❝✙❃✬❡✥✺✙❘✰✣✹✭✕✑❱✪✧✩✗✚✙ ❈ ✹✚✧✱✴❁✕☞✓✆✗✚✧❝❱✪✕❊❉❺✯✖✼●✼✮❽✞✥❇✙✪✰✣✧✩✗✚✬❡✥♥✰✣✓✪✽✾❉❺✧✻✹✏☛❝✙✖✬❯✥❇✙ ☛❛✕✦➃✲✓✖✧✌☛✄✰➉✥★✧✩✓✪✢✫✬❡✢✤✗✚✕✵✓✲✗♣P❁✯✪✰✣✓✶✗✚✬✮⑩✣✰✣✗✭✬✮✧✻✓ ❈ ✹✭✧✲✥❜✕✣✽✲✯✖✹✭✕❁❧☛✉✔✯❃✕✿✗✚✧✸✰✱✹✚✬✮✗✚✙✖❅❆✕✵✗✚✬❡✥✵✰✣✼ ❈ ✹✚✧ ❈ ✕✵✹✚✗✭✬✮✕❚✢ ✧✱❉ ✥✵✰✱✗❞❅✷✰ ❈ ✢★❀✑☛❛✕✦✥☞✰✱✓✸❱✖✯✖✬●✼❡✽❼❉❋✰✣❅❆✬✮✼●✬✮✕✣✢❘✧✣❉❴✴❁✕✵✹✚❽❼✕☞✹✭❑✩✧✲✽✲✬❡✥✘✕✵✬✮❑✻✕✵✓✪✢✤✗❬✰✱✗✚✕✣✢❜❀❊❉❺✧✻✹✒☛❝✙✖✬❯✥❇✙✸✗✚✙✖✕ ✥❜✧✻✓✪✢✤✗✚✕✵✼✮✼❯✰✱✗✭✬●✧✩✓✪✢❊❉❺✧✻✹✭❅ ✡✯✭ ✷✲✏✌✒ ✙✎✕✘✏❛✧✻✓♣✗✭✙❃✕✆✗✚✧✩✹✚✯✪✢❜❧ ③♣✧✩✹✚✕➋❑✻✕✵✓✖✕✵✹❬✰✱✼●✼✮❽❁❀✓☛❛✕✳✢✤✙✖✧✌☛ ✗✚✙✪✰✱✗✎✕✵✬●❑✩✕✵✓✪✢✫✗✺✰✣✗✭✕✣✢❴✧✱❉✞✗✭✙✖✕❚✢✤✕✳P❵✯❣✰✱✓✲✗✭✯✖❅ ❅✷✰ ❈ ✢✆✙✪✰✵✴❁✕❁❀ ☞✎✍ ✙ ✼✤✓✖✭✌✙✕✔✳✓✲❀✣✢✫✬✮❅❆✬●✼❡✰✱✹ ❈ ✹✭✧ ❈ ✕✵✹✭✗✚✬✮✕✣✢▲✗✚✧❘②✞✰✱✯✪✢✚✢✤✬❡✰✣✓❴✹✺✰✣✓✪✽✶✧✩❅ ✢✤✗❬✰✱✗✭✕❚✢❊➓✣✗✭✙✖✕☞✬✮✹➅➔✔✯✪✢✫✬✮❅❆✬✻✽✶✕☞✓✪✢✤✬●✗✭✬✮✕❚✢✜✰✱✓✪✽ ✥❜✧✻✓✪✢✤✗✚✕✵✼✮✼❯✰✱✗✭✬●✧✩✓✪✢❸✰✱✹✭✕❝❑✻✹✭✧①✢✭✢✤✼●❽❘✕✣P❁✯✖✬❯✽✶✬❡✢✫✗✭✹✭✬●❱✖✯✖✗✚✕✣✽⑤✧✱✴❁✕☞✹r✗✚✙✖✕✖☛❝✙✖✧✩✼●✕❝✗✭✧✻✹✭✯✪✢r✬●✓❴✗✭✙✖✕☛✢✫✕✵❅❆✬❯✥❜✼❡✰✻✢✭✢✤✬❯✥✵✰✱✼ ✼✮✬●❅❆✬✮✗☞❀▲✰✣✓✪✽❄✗✭✙✖✕☞✬✮✹⑤➁✪✯✪✥❜✗✚✯✪✰✱✗✚✬✮✧✻✓✪✢❴✰✱✹✚✧✩✯✖✓✪✽➙✗✭✙✖✕❞✕✵✹✭❑✻✧✲✽✶✬❡✥q❅❞✕✣✰✩✢✫✯✖✹✭✕❞✰✱✹✚✕❆✯✖✓✖✬●✴❁✕✵✹✺✢✚✰✱✼■❧♥➈☛✓❄✗✚✙✖✕ ✧✩✗✚✙✖✕✵✹❢✙✪✰✱✓✪✽◗❀✗☛❛✕✞✰✱✹✭❑✻✯✖✕❥✗✭✙✪✰✣✗❛✗✚✙✖✕❥✢ ❈ ✕✣✥★✬➑s◗✥❤❉❺✕❚✰✱✗✭✯❃✹✭✕✣✢✑✧✱❉❸✰✱✓ ✜✰✍ ✺✤✜✽✼✩✜✽✺✲✾ ✙✣✕✜✕✵✬●❑✩✕✵✓❣✢✤✗✺✰✣✗✭✕ ❲ ✕❁❧♦❑✖❧❃✰ ✏✌✡❀✙✣✭☛✰✱❱✪✧✣✴❁✕❦✰ ❈ ✕✵✹✭✬●✧✲✽✶✬❡✥ ❈ ✧✩✬●✓✶✗ ❨ ✥✵✰✱✓✷❱✪✕❥✹✭✧✩❱❃✯✪✢✤✗✚✼✮❽✎✕✵❫✶✗✚✹✺✰✻✥❜✗✭✕✣✽❴❉❺✹✭✧✩❅ ✗✭✙✖✕⑤s✪✹❬✢✤✗❛❉❺✕✘☛❻➆✖✧✩✯✖✹✚✬✮✕✵✹ ✥❜✧❁✕✌❁❙✥❜✬●✕✵✓✶✗❬✢❊✧✣❉♥✬●✗✺✢❝✥❜✧✻✓✪✢✤✗✚✕✵✼✮✼❯✰✱✗✭✬●✧✩✓✜❧

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✝ ✂ ✂ ✂☎✄ ✞ ✝ ✂☎✄✝✆✂ ☎ ✂ ✄ ✞✠✟☛✡✌☞✌✍✏✎✒✑✔✓✕✡✌✖✗✍✘✟✚✙✜✛ ✢ ✟✣✛ ✢ ☞✌✤✦✥ ✢ ✧ ★ ✩✫✪ ✤✬✍☛✭✮✓✯✥✰✤✦✭✱✭✲✖✰✳✏✑ ✢✴✢ ✡✵✳✏✑✒✤✦✟✘✡✌✖✰✳✏✑ ✢ ★✦✶ ❧ ➌☛✰ ❈✖❈ ✕✵✼❯✢✔✽✶✕❥❅❷❏✕❚✥✵✰✱✓✖✬❯P❵✯❃✕⑤✥❜✼❯✰✩✢✚✢✤✬❡P❁✯✖✕ ❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✁ ❧ ❧ ✉✔❽✶✓❣✰✱❅❆✬❯P❵✯✖✕✞✹✖❏✕✣✽✶✯❃✬✮✗✭✕ ❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✸✷ ❧ ❧ ▼✔✓✪✰✱✼●❽✖✢✫✕❥✼✮✧✲✥✵✰✣✼✮✕❦✽✶✕❦✢✤✗❬✰✱❱✖✬●✼✮✬✮✗❃❏✕✄❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✕✹ ❧ ❧◆➍ ➄✑✼❡✰✩✢✚✢✤✬➂s◗✥✵✰✱✗✚✬✮✧✻✓✘✽✶✕✣✢❝✰ ❈✖❈ ✼●✬❡✥✵✰✣✗✭✬✮✧✻✓✪✢☛✥❇✙✪✰✣✧✩✗✚✬❡P❁✯✖✕✣✢✘❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✕✹ ❧ ❧ ➐ ✯❣✰✱✓✲✗✭✬➑st✥✵✰✱✗✚✬✮✧✩✓❭✽✶✕❥✗✭✹❬✰✱✓✪✢■❉❺✧✩✹✭❅❙✰✱✗✭✬●✧✩✓✪✢❥✛✰❴✗✭✕☞❅ ❈ ✢❛✽✲✬❡✢✭✥★✹✭✕✵✗❹❧❘❧❥❧❦❧✆❧ ❧ ➄✑✙✪✰✣✧❁✢⑤P❁✯✪✰✱✓✲✗✭✬❯P❵✯❃✕ ❧❦❧❥❧❘❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ❧ ❧ ➐ ✯❃✕✵✼❡P❁✯✖✕✣✢❝✢✫❽✖✢✫✗✵✛✕✵❅❆✕❚✢ ❈ ✙✶❽❃✢✤✬❯P❵✯✖✕❚✢☛✺✘❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ❧ ❧ ♠➊✹✚✧✩❱✖✼☞❏✕✵❅✷✰✣✗✭✬❡P❁✯✖✕✣✢❢✽✶✯✳✥❇✙❣✰✱✧❁✢☛P❁✯✪✰✱✓✲✗✭✬❯P❵✯✖✕❻❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ❧ ❧◆➍ ➐ ✯❣✰✱✓✲✗✭✬✮✗❃❏✕✣✢❛✬✮✓✲✴✻✰✱✹✚✬❡✰✱✓✲✗✭✕❚✢✿❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✻✷ ✼ ✽ ✟✾✭❀✿✒✭❀✡❂❁ ✢❂❃❄✢ ✖✰✟✘✡✔✛ ✢ ✙❅☞✌✤✦❆✒✥ ✢ ✭✲✑✒☞❇✥ ✢❉❈ ✥✗✤✦✟ ❊✘❊ ❧ ➆✖✧✩✓✪✥★✗✭✬✮✧✻✓✪✢☛✽✶✕❦④❝✰✱✹✭❑✻❅✷✰✱✓❃✓●❋✲➔✔✯❣✢✤✬✮❅❞✬▲✽❃✰✱✓✪✢❝✼✮✕ ❈ ✼❡✰✱✓ ❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ➍✩➍ ❧ ❧ ➆❣✧✻✓✪✥❜✗✚✬✮✧✩✓❣✢✔✽✶✕ ✥✸✬●❑✩✓✖✕✵✹❝✕☞✗☛✽✶✕❦➔✔✯✪✢✤✬●❅❆✬♥❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ➍ ✁ ❧ ❧ ▼✔✯✖✗✭✹✚✕✣✢❛❑❸❏✕☞✧✩❅❷❏✕✵✗✚✹✭✬●✕✣✢⑤❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ➍ ✷ ❧ ❧◆➍ ♠➊✹✚✧ ❈ ✹✚✬☞❏✕✵✗❃❏✕✣✢❛✢✫✕✵❅❆✬ ❳ ✥❜✼❯✰✩✢✚✢✤✬❡P❁✯✖✕✣✢➅✽✶✕✣✢♥❉❺✧✩✓✪✥★✗✭✬✮✧✻✓✪✢❛✽✲✕✹✥✸✬✮❑✻✓✖✕✵✹✑✕✵✗❝➔☛✯✪✢✤✬●❅❆✬ ✯✹ ❧ ♠r✧✻✬✮✓✲✗❛s✪❫✶✕❥✙✲❽ ❈ ✕✵✹✚❱✪✧✩✼✮✬❯P❵✯❃✕❄❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✯✹ ❧ ❧ ✐ ❍❏■▲❑▲▼✠◆✗❖◗P⑤✕✵✓✷✹✚✕ ❈ ✹❃❏✕❚✢✤✕✵✓✲✗✺✰✣✗✭✬✮✧✻✓✳✽✶✕❦④❝✰✱✹✭❑✻❅✷✰✱✓❃✓ ❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✖ ❧ ❧ ✉♣❏✕✵✴❁✕✵✼●✧ ❈✖❈ ✕✵❅❆✕☞✓✶✗❬✢❊✰✻✢✤❽✲❅ ❈ ✗✚✧✩✗✭✬❯P❵✯❃✕✣✢✄❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ➍ ❧ ❧◆➍ ➄✑✧✩❅ ❈ ✧✩✹✚✗✭✕✵❅❞✕✵✓✶✗❢✢✫✕✵❅❆✬ ❳ ✥❜✼❯✰✩✢✭✢✫✬❡P❁✯✖✕✞✽✶✕✣✢❊❉❺✧✩✓❣✥❜✗✭✬●✧✩✓✪✢☛✽✶✕❦➔✔✯✪✢✫✬✮❅❆✬✪❧❦❧✆❧ ❧ ❧ ➌❤✕ ❈ ✹✖❏✕✣✢✫✕✵✓✶✗❬✰✱✗✚✬✮✧✩✓✳✢✫✗✭✕✵✼●✼❡✰✱✬●✹✭✕❥✽✲✕✣✢❊❉❺✧✩✓✪✥★✗✭✬✮✧✻✓✪✢ ❈ ✹✭✧ ❈ ✹✭✕✣✢ ❧❘❧❥❧❘❧❥❧❦❧✆❧ ●✷ ❧ ❧✁ ➄✑✧✩✓✶s✪✹✚❅✷✰✱✗✚✬✮✧✻✓➋✓✲✯✖❅❷❏✕☞✹✭✬❡P❁✯✖✕ ❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✁ ✹ ❊ ✩✫✪ ✤✬✍☛✭✮✳✏✑✔✤✦✟✘✡✌✖✗✳✏✑ ✢ ✭✲✑✔☞✵✥ ✢ ✡✌✍✘☞ ✢ ✶ ❊ ➍✶❧ ③ ✕✣✥✵✰✣✓✖✬❡P❁✯✖✕❥P❁✯✪✰✣✓✶✗✚✬❡P❁✯✖✕❥✢✤✯❃✹✔✼●✕❏ ❳ ✗✚✧✩✹✚✕❄❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✁✩➍ ➍✶❧ ➌❝✕ ❈ ✹❃❏✕❚✢✤✕✵✓✲✗✺✰✣✗✭✬✮✧✻✓✳✽✶✕❦④❝✰✱✹✭❑✻❅✷✰✱✓❃✓♣✢✫✯✖✹❝✼✮✕❥✗✚✧✩✹✭✕ ❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✁ ➍✶❧ ❧ ▼✔✓✪✰✱✼●✧✩❑✻✬✮✕❦✰✵✴❁✕✣✥✔✼✮✕❚✢❊❉❺✧✩✓✪✥❜✗✚✬✮✧✻✓✪✢✔✽◗❍❪✧✩✓❣✽✶✕❦✽✶✕❴❿◗✰✱✓✪✽✖✰✣✯ ❧❘❧❥❧❘❧❥❧❦❧✆❧ ✁ ✷ ➍✶❧ ❧ ✉✔✕✵✓✪✢✫✬✮✗❃❏✕❦✽✶✕❦➔✔✯❣✢✤✬✮❅❞✬■❧✲➌❤✕ ❈ ✹❃❏✕✣✢✫✕✵✓✲✗✺✰✱✗✚✬✮✧✻✓✷✢✤✗✚✕✵✼✮✼❯✰✱✬✮✹✚✕❥✢✤✯❃✹✜❘✏❙✘❧❘❧❥❧❦❧✆❧ ✁ ✄ ➍✶❧ ❧◆➍ ❏ ➏➊✗❬✰✱✗❬✢✔✥❜✧✻✙❝❏✕✵✹✚✕✵✓✶✗❬✢❝✢✤✯✖✹☛✼✮✕✞✗✭✧✩✹✚✕ ❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✶ ➍✶❧◆➍ ✉✔✕✵✯❃❫❆✗✭✹❬✰✱✓✪✢■❉❺✧✩✹✭❅❙✰✱✗✭✬●✧✩✓✪✢☛✥✺✙✪✰✱✧✻✗✭✬❡P❁✯✖✕✣✢❝✽✲✯➋✗✚✧✩✹✚✕ ❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ➍ ➍✶❧◆➍✶❧ ➀↕✹❬✰✱✓✪✢■❉❺✧✩✹✭❅❙✰✱✗✭✬●✧✩✓❭✽✶✯✷❱t✧✻✯✖✼❡✰✣✓✖❑✩✕☞✹ ❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ➍

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➍✶❧◆➍✶❧ ➀↕✹❬✰✱✓✪✢■❉❺✧✩✹✭❅❙✰✱✗✭✬●✧✩✓✪✢☛✽✶✯✦❶➂✥✺✙✪✰✱✗☞❍✖✽▲❍◆▼✔✹✭✓✖✧✻✼❡✽ ❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✁ ➍✶❧ ❏ ➏♥✗✺✰✣✗✺✢ ❈ ✹✭✧ ❈ ✹✭✕✣✢☛✥❜✹✚✬❡✢✤✗❬✰✱✼●✼✮✬✮✓❣✢❛✽✶✕✣✢❝✥✺✙✪✰✣✗✺✢☛P❵✯✪✰✣✓✶✗✚✬➑s❤❏✕❚✢ ❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✘ ➍✶❧ ❧ ➄✑✧✩✓✪✢✫✗✭✹✭✯❣✥❜✗✭✬●✧✩✓✘✽✲✕✣✢❆❏✕✵✗✺✰✣✗✺✢ ❈ ✹✭✧ ❈ ✹✭✕❚✢✆❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✄ ➍✶❧ ❧ ➌✷❏✕✣✢✫✕✣✰✱✯❃❫❆✬✮✓✲✴✻✰✱✹✭✬❯✰✱✓✲✗✺✢ ❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✷❁ ➍✶❧ ❧◆➍ ♠➊✹✚✧ ❈ ✹✚✬☞❏✕✵✗❃❏✕✣✢❛✕✵✹✚❑✩✧✲✽✶✬❯P❵✯✖✕❚✢✔✽✶✕❚✢❛✹✖❏✕✣✢✫✕✣✰✱✯✖❫❞✬✮✓✲✴✩✰✣✹✭✬❯✰✱✓✲✗✺✢ ❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✷ ➍✶❧ ❧ ❏ ➏➊✗❬✰✱✗❬✢✔✥❜✹✚✬❡✢✫✗✺✰✱✼●✼✮✬●✓✪✢➉❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✷ ✁ ✙ ✚ ✥✰✑✒✓✕✡✌✑✒✤●✡✌✖✗✍✘✟✔✭ ✎ ✢ ✭ ✛ ✢ ✡✌✤●✡✌✭ ❈ ☞✌✍ ❈ ☞ ✢ ✭✵✓ ✪ ✤✬✍ ✡ ✖✰✳✏✑ ✢ ✭ ✛✜✛ ❧ ➈☛❱✲❂✭✕✣✥❜✗✚✬➑❉❋✢❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✷✕✷ ❧ ❏ ➏♥✗✺✰✣✗✺✢☛✽✶✕❥✹✖❏✕❜❉✱❏✕✵✹✚✕✵✓✪✥❜✕✷❧❦❧❥❧❘❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✷✕✷ ❧ ❧ ❏ ➏➊✗❬✰✱✗❬✢❤✕✵✹✚❑✩✧✲✽✶✬❯P❵✯❃✕✣✢ ❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✷✢ ❧ ❧ ❏ ➏➊✗❬✰✱✗❬✢❤✼●✧✲✥✵✰✱✼●✬❡✢✲❏✕❚✢❆❧❘❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✶ ❧◆➍ ♠♥✹✭✧ ❈ ✹✭✬☞❏✕✵✗❃❏✕❦✽✶✕❴✈✲✥✺✙✖✓✖✬●✹✭✕✵✼●❅✷✰✱✓✳❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ❧◆➍✶❧ ➔✔✬❡✢✫✗✭✧✩✹✚✬❡P❁✯✖✕ ❧❦❧❥❧❘❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ❧◆➍✶❧ ♠➊✹✚✕✵✯✖✴❁✕❦✢✭✥✺✙✠❏✕✵❅❙✰✱✗✭✬❯P❵✯❃✕☛✽✶✯♣✗✚✙❝❏✕✵✧✩✹☞✛✕✵❅❆✕✞✽✶✕❴✈✲✥✺✙✖✓✖✬✮✹✚✕✵✼✮❅❙✰✱✓ ❧❘❧❥❧❦❧✆❧ ✁ ❧ ➐ ✯✖✕✵✼❯P❵✯✖✕❚✢❛✧✩✯✖✗✚✬✮✼❡✢❝✽◗❍❩✰✱✓❣✰✱✼✮❽❃✢✤✕❦✽✶✕❚✢❊❉❺✧✩✓✪✥❜✗✚✬✮✧✻✓✪✢❝✽✶✕❴➔☛✯✪✢✤✬●❅❆✬✦❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ❧ ❧ ❶✝✔✧✻✹✭❅❆✕✣✢★❍✲✽✶✕✣✢❛➁✪✯✪✥❜✗✚✯✪✰✱✗✚✬✮✧✩✓❣✢✆❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✻✷ ❧ ❧ ➌❤✕ ❈ ✹✖❏✕✣✢✫✕✵✓✶✗❬✰✱✗✚✬✮✧✩✓✳✢✫✗✭✕✵✼●✼❡✰✱✬●✹✭✕❦❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✄ ❧✁ ➌✷❏✕✣✢✤✯✖✼●✗✺✰✣✗✺✢☛✢✤✯✖✹❝✼●✕✣✢✔❶❩✓✖✧✻✹✭❅❆✕❚✢❜❍ ❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✄ ❧✁✶❧ ❶✝✔✧✻✹✭❅❆✕✣✢★❍✲✽✶✕✣✢❆❏✕✵✗❬✰✱✗✺✢☛✽✶✕❥✹❃❏✕★❉✻❏✕✵✹✭✕✵✓❣✥❜✕ ❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✄ ❧✁✶❧ ❶✝✔✧✻✹✭❅❆✕✣✢★❍✲✽✶✕✣✢❆❏✕✵✗❬✰✱✗✺✢ ❈ ✹✚✧ ❈ ✹✚✕✣✢✔✥✺✙✪✰✣✧✩✗✭✬❯P❵✯❃✕✣✢❴❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✱✹✶ ❧ ❏ ➏✑P❵✯❃✬❡✽✶✬❯✢✤✗✭✹✚✬✮❱✖✯❃✗✭✬✮✧✻✓✳✽✶✕✣✢❝✥❜✧✻✓✪✢✤✗✚✕✵✼✮✼❯✰✱✗✭✬●✧✩✓✪✢❝✽✲✕✆⑩⑨❏✕✵✹✭✧①✢❘❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✱✹ ➍ ❧ ❧ ➄✑✧✩✓✪✢✲❏✕✣P❵✯❃✕✵✓✪✥❜✕✣✢☛✽✶✕❥✼■❍✚❏✕✣P❁✯✖✬❡✽✶✬❯✢✤✗✚✹✭✬✮❱❃✯✖✗✭✬●✧✩✓❞✽✶✕✣✢❛⑩⑨❏✕✵✹✚✧❁✢ ❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✱✹ ❧ ❧ ♠➊✙❣✰✩✢✤✕✇✽✶✕✤✣ ❲✦✥ ❨ ❧❘❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✱✹✻✷ ❧✷ ➄✑✧✩✹✚✹❃❏✕✵✼❯✰✱✗✚✬✮✧✩✓❣✢❤✕✵✓✲✗✭✹✚✕⑤⑩⑨❏✕✵✹✚✧❁✢★❧✪➆t✰✻✥❜✗✭✕☞✯✖✹✺✢❝✽✶✕⑤❉❺✧✻✹✭❅❆✕⑥❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✻✲✹ ❧✷ ❧ ③ ✕✵✗✭✙✖✧✲✽✲✕✣✢❤✕☞✗❝✹✖❏❏ ✕✣✢✫✯✖✼✮✗❬✰✱✗✺✢❝✢✫✗✺✰✣✗✭✬❡✢✫✗✭✬❯P❵✯✖✕❚✢ ❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✻✲✹ ❧ ✷ ❧ ➌✷❏✕✣✢✫✯✖✼✮✗❬✰✱✗❬✢✔✢✫✯✖✹❝✼✮✕✣✢❝✥★✧❁✕✌❁✷✥★✬✮✕✵✓✲✗✺✢❢✽✶✕❦➆❣✧✻✯✖✹✭✬●✕✵✹ ❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✻ ✄ ❧ ✷ ❧◆➍ ➄✑✬❡✥✵✰✣✗✭✹✭✬❯✥❜✕✣✢ ❧❦❧❥❧❘❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧❦❧❥❧❘❧❥❧❥❧❘❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ➍ ❧✷ ❧ ➄✑✧✩❅ ❈ ✰✣✹✺✰✣✬❡✢✤✧✻✓✘✰✣✯✖❫✷✕✣✢✤✗✚✬✮❅✷✰✣✗✭✬✮✧✻✓✪✢❛✢✫✕✵❅❆✬ ❳ ✥❜✼❯✰✩✢✚✢✤✬❡P❁✯✖✕✣✢✑❧❥❧❘❧❥❧❘❧❥❧❦❧✆❧ ✩ ✍✘✟✔✓✯✥✗✑✒✭✲✖✰✍✘✟ ✙✜✛ ✢ ✟✣✛ ✢ ☞✌✤✦✥ ✢ ★ ❊ ★ ✧❇✟✒✟ ✢✩★✒✢ ✭ ★ ❊ ✙ ✧ ✩ ✤✦✥✗✓✯✑✔✥ ✎ ✢ ✭✫✪✟✒✍☛☞ ❃❄✢ ✭✘✬ ❈ ✍✘✑✔☞❇✥ ✢ ✭✚✛ ✢ ✡✌✤❂✡✌✭ ✭✲✑✒☞❇☞✔✛ ✢ ✭ ✢ ✤✦✑ ★ ❊ ✶ ✭ ✭ ✍✘☞✸✟ ✢ ✭✫✮✒✯ ❈ ✍✘✑✒☞ ✥ ✢ ✭✚✛ ✢ ✡✌✤❂✡✌✭ ❈ ☞✌✍ ❈ ☞ ✢ ✭✵✎✔✑✾✓ ✪ ✤●✡ ★ ❊ ✧ ✭ ✖✗❆✔✥✗✖✰✍✦✙ ☞✌✤ ❈ ✪ ✖ ✢ ★✰✙ ❊ ✧❇☞✲✡✌✖✗✓✯✥ ✢ ✭ ★ ✶ ★

(10)

✂✆☎☎✄ ✂ ✆ ✟✡✂☎✄✆✄ ✂ ✂ ☎ ✝ ✂ ❿➅❍❪✧✻❱✲❂✭✕✵✗ ❈ ✹✭✬●✓✪✥❜✬ ❈ ✰✱✼❦✽✶✕❾✥❜✕✵✗✭✗✚✕✘✗✭✙⑨✛✕❚✢✤✕✦✕✣✢✤✗✷✼■❍✚❏✕✵✗✭✯❣✽✶✕✦✽✶✕✦✗✭✹✺✰✣✓✪✢ ❉❺✧✻✹✭❅✷✰✣✗✭✬●✧✩✓✪✢✳P❵✯✪✰✣✓✶✗✚✬❡P❁✯✖✕✣✢ ✥❜✼❯✰✩✢✭✢✫✬❡P❁✯✖✕✵❅❆✕☞✓✶✗❥✥✺✙✪✰✣✧✩✗✭✬❯P❵✯❃✕✣✢❘✢✫✯✖✹❘✼●✕❆✗✭✧✻✹✭✕❆❱✖✬❯✽✶✬✮❅❞✕✵✓✪✢✤✬●✧✩✓✖✓❃✕✵✼■❧✜▼☛✴✩✰✣✓✶✗✇✽✶✕❆✹✚✕✵✓✶✗✚✹✭✕✵✹❦✽✖✰✣✓✪✢❴✼✮✕✣✢ ✽❢❏✕✵✗❬✰✱✬●✼❡✢❜❀✪✗✩✐✰✻✥❇✙❃✧✩✓✪✢⑤✗✭✧✻✯✖✗❦✽▲❍❩✰✣❱✪✧✩✹✺✽✦✽▲❍✚❏✕✣✥❜✼❡✰✣✬✮✹✚✕✵✹❝✼✮✕❴✼●✕✣✥❜✗✭✕☞✯✖✹⑤✢✫✯✖✹⑤✼❯✰ ❈ ✕✵✹✚✗✭✬●✓✖✕✵✓✪✥❜✕ ❲ ✹✚✕✵✼❡✰✣✗✭✬✮✴❁✕ ❨ ✽✶✕ ✥❜✕❦❑✩✕✵✓✖✹✚✕❴✽✶✕❴❅❞✧✲✽▲✛✕✵✼✮✕❥✕✵✓ ❈ ✙✲❽✖✢✫✬❡P❁✯✖✕ ❲ ✰❚s❣✓✦✽✶✕☛❂✭✯✪✢✤✗✚✬➑s✪✕☞✹✔✕✵✓ ❈ ✰✱✹✚✗✭✬●✕❘✼❡✰✎❅❆✕✵✓✲✗✭✬✮✧✻✓✘❶ ❈ ✙✲❽✖✢✫✬❡P❁✯✖✕ ✗✭✙✠❏✕✵✧✩✹✚✬❡P❁✯✖✕❁❍✖✢✫✯✖✹☛✼❡✰ ❈ ✰✣❑✩✕❴✽✲✕✆❑①✰✱✹❬✽✶✕ ❨ ❧ ❿✪✕✣✢q✗✚✹✺✰✱✓❣✢ ❉❺✧✩✹✚❅✷✰✱✗✚✬✮✧✻✓✪✢✷✥✵✰✱✓✖✧✻✓✖✬❡P❁✯✖✕✣✢✳✛✰❄✗✭✕✵❅ ❈ ✢❴✽✶✬❡✢✚✥❜✹✭✕☞✗q✬●✓✶✗✚✕✵✹✭✴✲✬✮✕✵✓❃✓✖✕✵✓✲✗✎✽✖✰✱✓✪✢✎✼■❍✚❏✕☞✗✭✯✪✽✶✕ ✽✶✕✣✢❥✢✫❽✖✢✫✗✵✛✕✵❅❆✕❚✢⑤✽✶❽✲✓✪✰✱❅❆✬❯P❵✯❃✕✣✢✔✥★✼❡✰✩✢✚✢✤✬❯P❵✯✖✕❚✢❜❀➅✥✩❍❪✕❚✢✤✗ ❳ ✛✰ ❳ ✽✶✬●✹✭✕❴✼■❍✚❏✕✵✴❁✧✩✼●✯✖✗✭✬●✧✩✓✦✽✖✰✣✓✪✢✆✼●✕❴✗✭✕✵❅ ❈ ✢⑤✽▲❍♦✯✖✓ ❈ ✧✩✬●✓✶✗❞✢✤✯✖✹❞✯✖✓ ✓❀✏✟✞ ✙✪✡❀✓ ✺ ✓❀✏✠✞☛✡✸✙ ✏ ✓❀✏✣❀❛✹❃❏✕✵❑✩✬●✕ ❈ ✰✱✹✷✽✶✕❚✢❄❏✕✣P❵✯❣✰✱✗✭✬●✧✩✓✪✢❞✽✶✕♣❅❆✧✻✯✖✴❁✕✵❅❆✕☞✓❁✗✌☞ ❈ ✧✻✯✖✹ ✯✖✓❷✢✤❽❃✢✤✗☞✛✕☞❅❆✕q✹❃❏✕✣✰✱✼●✬❡✢✫✗✭✕❁❀➅✼■❍❪✕❚✢ ❈ ✰✻✥❜✕✳✽✶✕✣✢ ❈ ✙✪✰✻✢✤✕✣✢✎✕✣✢✤✗❴❑❸❏✕✵✓❝❏✕✵✹❬✰✱✼✮✕☞❅❆✕✵✓✲✗❆✛✰ ✎✍ ✽✶✬●❅❆✕✵✓✪✢✫✬✮✧✩✓❣✢❜❀r✧◗✛✯ ✍ ✕✣✢✫✗❆✼✮✕✳✓✖✧✩❅✎❱✖✹✚✕✘✽✶✕ ❈ ✰✱✹✚✗✭✬❡✥★✯✖✼✮✕✣✢ ❈ ✙✲❽✖✢✫✬❡P❁✯✖✕✣✢❆P❁✯✖✬✞✢✤✕✦✽❢❏✕ ❈ ✼❡✰✻✥❜✕✵✓✲✗✵❀♥✕✵✗❆✼●✕✣✢➙❏✕✣P❵✯❣✰✱✗✭✬●✧✩✓✪✢❞✽✶✕ ❅❆✧✻✯✖✴❁✕✵❅❆✕✵✓❁✗➅✢✫✧✩✓✲✗❝✽✶✕❚✢❴❏✕❚P❵✯✪✰✣✗✭✬●✧✩✓✪✢✑✽✶✬➂➒✞❏✕☞✹✭✕✵✓✲✗✭✬●✕✵✼✮✼●✕✣✢ ❈ ✰✱✹✑✹✺✰ ❈✖❈ ✧✩✹✭✗☛✰✣✯q✗✚✕✵❅ ❈ ✢ ❲ ❈ ✰✣✹❊✕☞❫✶✕✵❅ ❈ ✼✮✕❁❀ ✽✶✕✣✢❾❏✕❚P❵✯✪✰✣✗✭✬●✧✩✓✪✢❴✽✶✕✳➔⑤✰✣❅❆✬✮✼●✗✭✧✻✓ ❨ ❧♥➄✑✕ ❈ ✕✵✓✪✽❃✰✱✓✲✗✵❀♥✯✖✓➙✗✭✕☞✼❝✢✤❽❃✢✤✗☞✛✕✵❅❆✕✎✕✣✢✤✗❴❑❸❏✕✵✓✠❏✕✵✹❬✰✱✼●✕✵❅❆✕✵✓✲✗❥✗✭✹✭✧ ❈ ✥❜✧✻❅ ❈ ✼✮✕☞❫✶✕ ❈ ✧✩✯❃✹❘✐✕✵✗✭✹✚✕❥✰✱✓✪✰✣✼✮❽❃✢✲❏✕❦✰✱✬❯✢✲❏✕✵❅❞✕✵✓✶✗☞❧✶➈☛✓❆✕✣✢✫✗➅❂✭✯✪✢✤✗✚✕❥✥✵✰ ❈ ✰✱❱✖✼●✕❘✽◗❍❪✕✵✓✷✽❢❏✕✣✥❜✹✭✬●✹✭✕✞✥❜✕✵✹✚✗✺✰✱✬●✓✖✕✣✢ ✥✵✰✣✹✺✰✩✥★✗✖❏✕✵✹✚✬❡✢✤✗✚✬❡P❁✯✖✕✣✢ ❈ ✼●✯✪✢❛✧✩✯✷❅❆✧✻✬✮✓✪✢✑❑♥❏✕✵✓✠❏✕☞✹✭✬❡P❁✯✖✕✣✢★❀✲✢✤✕✵✼●✧✩✓✷✼❡✰❘✓✪✰✣✗✭✯✖✹✚✕❦✽✶✕✣✢✎❏✕❚P❵✯✪✰✣✗✭✬●✧✩✓✪✢❝✽✶✕❥❅❆✧✻✯ ❳ ✴❁✕✵❅❆✕☞✓✶✗☞❧▲➎■✼✑✕✣✢✤✗✇✰✱✼●✧✩✹✺✢❴✥★✧✩❅❆❅❆✧✲✽✲✕✎✽✶✕❆❅❆✧✲✽❢❏✕☞✼✮✬❡✢✫✕✵✹❥✥❜✕☞✹✭✗✺✰✣✬✮✓✖✕❚✢❘✽✶✕✷✥★✕✣✢❥✥✵✰✱✹❬✰✩✥❜✗❃❏✕✵✹✭✬❯✢✤✗✭✬❯P❵✯❃✕✣✢⑤✕✵✓ ✯✖✗✚✬✮✼✮✬❯✢✭✰✣✓✶✗✑✽✲✕✣✢❛✢✫❽✖✢✫✗✵✛✕✵❅❆✕❚✢♥✽✶❽✲✓✪✰✱❅❆✬❯P❵✯❃✕✣✢❊❶❂✭✧✻✯✖✕✵✗❬✢❜❍✮❀✻❑♥❏✕✵✓✠❏✕☞✹✺✰✱✼●✕✵❅❆✕✵✓✲✗❸✽✶✕ ❈ ✼✮✯✪✢♥❱✪✰✻✢✭✢✤✕✾✽✶✬✮❅❆✕☞✓✪✢✤✬●✧ ❳ ✓✪✰✣✼✮✬✮✗❃❏✕❁❀✩✕✵✗➊P❵✯✖✬ ❈ ✕☞✯✖✴❁✕✵✓✲✗✔✐✕✵✗✭✹✚✕❦✛✰⑤✗✭✕✵❅ ❈ ✢♥✽✶✬❡✢✚✥❜✹✭✕☞✗❝➓❁✥❜✕✣✢✑✢✫❽✖✢✫✗✵✛✕✵❅❆✕❚✢r✽✶❽✲✓✪✰✣❅❆✬❡P❁✯✖✕✣✢♥❶❂✭✧✻✯✖✕✵✗✺✢★❍✮❀❁P❁✯✖✬ ✢✤✧✻✓✶✗✠✥❜✕✵✓✪✢✲❏✕✣✢ ✜✘✏✖☞✣✕✚✓ ✭✔✯✖✓❃✕⑤✥✵✰✣✹✺✰✻✥❜✗❃❏✕✵✹✚✬❡✢✫✗✭✬❡P❁✯✖✕ ❈ ✹❃❏✕✣✥❜✬❯✢✤✕✞✽✶✯➋❶◆❑✩✹✚✧❁✢❜❍❃✢✤❽❃✢✤✗☞✛✕✵❅❆✕❝✽✲✕⑤✽❢❏✕ ❈ ✰✱✹✚✗✵❀❁✓✖✕❥✢✫✧✩✓✲✗ ❈ ✼●✯✪✢r✽✲✧✩✓✖✓✠❏✕❚✢ ❈ ✰✱✹❸✽✶✕✣✢❥❏✕✣P❁✯✪✰✱✗✚✬✮✧✻✓✪✢r✽✲✬➑➒✞❏✕✵✹✭✕☞✓✶✗✚✬✮✕✵✼●✼✮✕✣✢★❀❇❅❙✰✱✬❡✢ ❈ ✰✱✹❸✽✶✕✣✢➅✰ ❈✖❈ ✼●✬❡✥✵✰✣✗✭✬●✧✩✓✪✢➅✥✵✰✱✓❃✧✩✓✖✬❯P❵✯✖✕❚✢ ✽✶✕❢✼■❍❪✕❚✢ ❈ ✰✻✥❜✕❢✽✶✕✣✢ ❈ ✙❣✰✩✢✤✕❚✢♥✢✤✯✖✹❸✼✮✯✖✬ ❳ ❅✦✐✕☞❅q✕❁❧★♠♥✰✣✹r✕☞❫✶✕✵❅ ❈ ✼✮✕❁❀✺✼●✕✣✢r✽✲✕✵✯✖❫❦✰ ❈✖❈ ✼✮✬❡✥☞✰✱✗✭✬●✧✩✓✪✢❸✢✤✯✖✹➅✼✮✕❢✗✭✧✩✹✚✕ P❁✯✖✕✔✓❃✧✩✯✪✢✑✓✖✧✩✯✪✢ ❈ ✹✭✧ ❈ ✧❁✢✤✧✻✓✪✢☛✽▲❍✚❏✕✵✗✚✯✪✽✶✬●✕✵✹ ❲ ✽✲✬✮✗✭✕❚✢➊✹✚✕✣✢ ❈ ✕✣✥★✗✭✬✮✴❁✕☞❅❆✕✵✓❁✗✑❶➂✽✶✯❞✥❇✙❣✰✱✗✵❍❁✕✵✗❝❶✽✶✯q❱✪✧✻✯✖✼❡✰✣✓ ❳ ❑✩✕☞✹✵❍ ❨ ✧✻✓✶✗✇❏✕☞✗✖❏✕☛✬✮✓✲✗✭✹✭✧✲✽✲✯✖✬✮✗✚✕✣✢ ❈ ✰✱✹✑✼✮✕❚✢➊❅❙✰✱✗✭✙✠❏✕✵❅✷✰✱✗✚✬❡✥❜✬➂✕✵✓❣✢✜✥❜✧✩❅❆❅❞✕❝✽✶✕✣✢✑✰✣✹✺✥✺✙❝❏✕✵✗✫❽ ❈ ✕✣✢ ❈ ✧①✢✭✢✲❏✕✣✽✖✰✱✓✲✗ ✽✶✕✵✯❃❫ ❈ ✹✭✧ ❈ ✹✭✬☞❏✕✵✗❃❏✕❚✢❝✥✵✰✱✹❬✰✩✥❜✗❃❏✕✵✹✭✬❯✢✤✗✭✬❯P❵✯❃✕✣✢❛✽✶✯✳✥✺✙✪✰✱✧①✢✔✥★✼❡✰✩✢✚✢✤✬❯P❵✯✖✕✇➓✖✼❡✰ ❈ ✹✚✧ ❈ ✹✚✬✵❏✕✵✗❃❏✕❘✽◗❍❩▼✔✓✖✧①✢✤✧✣✴◗❀✶✕✵✗❝✼❯✰ ✽✶❽✲✓✪✰✱❅❞✬❡P❁✯✖✕❝✢✫❽✶❅✎❱✪✧✩✼✮✬❯P❵✯❃✕✑✏ ✓✒ ❧✖❿✪✕✣✢♥✹✺✰✣✬❡✢✫✧✩✓✪✢ ❈ ✹✚✬✮✓✪✥★✬ ❈ ✰✣✼✮✕✣✢♥✽◗❍❪✯✖✗✚✬✮✼✮✬❯✢✤✕✵✹➅✯✖✓❆✕❚✢ ❈ ✰✻✥❜✕⑤✽✲✕✣✢ ❈ ✙✪✰✩✢✫✕✣✢ ✗✭✧✻✹✭✬❯P❵✯✖✕❞✢✤✧✻✓✶✗❦✽▲❍♦✯✖✓✖✕ ❈ ✰✱✹✚✗❦✢✤✧✩✓↔✥✵✰✱✹❬✰✩✥❜✗☞✛✕✵✹✭✕✎❱✖✬❡✽✲✬✮❅❆✕✵✓❣✢✤✬✮✧✻✓✖✓✖✕✵✼ ❲ ✽✶✧✩✓❣✥q✽✶✕❞✽✶✬●❅❆✕✵✓✪✢✫✬✮✧✩✓✘❅❞✬✮✓✖✬ ❳ ❅✷✰✣✼✮✕ ❨ ❀▲✽▲❍◆✰✱✯✖✗✚✹✭✕ ❈ ✰✱✹✚✗❦✢✭✰♣✥★✧✩❅ ❈ ✰✻✥❜✬✮✗❃❏✕❁❀◗P❵✯✖✬➅❉❺✧✩✹✺✥★✕q✼●✕✣✢ ❈ ✧✩✬●✓✶✗❬✢❆✛✰❆✹✭✕✵✴❁✕☞✓✖✬✮✹❥✰✣✯✿✴❁✧✻✬❡✢✫✬✮✓✪✰✣❑✩✕❞✽✶✕ ✼✮✕☞✯✖✹ ❈ ✧❁✢✤✬●✗✭✬●✧✩✓✷✬✮✓✖✬●✗✭✬❯✰✱✼✮✕①❧ ❿✪✕⑥✥❜✧✩✓✪✥★✕ ❈ ✗✦✽✶✕⑥✥✺✙✪✰✱✧①✢✘✽✶❽✶✓❣✰✱❅❆✬❯P❵✯✖✕✦✕✣✢✫✗✦✰ ❈✖❈ ✰✣✹✭✯ ✕✵✓ ✕✵✗✭✯✪✽✲✬❡✰✱✓✲✗✦✽✶✕✣✢✘✢✫❽✖✢✫✗☞✛✕✵❅❞✕✣✢✷✽✶✕❏ ❈ ✼❯✰✱✓⑨✛✕✵✗✚✕✣✢ ❲ ✕✵✓❻✓✖✧✩❅✎❱✖✹✭✕ ✍✕✔ ➍ ❨ ✕✵✓ ✬✮✓✲✗✭✕☞✹✺✰✩✥★✗✭✬✮✧✻✓✸❑✩✹❬✰❚✴✲✬✮✗❬✰✱✗✚✬✮✧✩✓❃✓✖✕✵✼✮✼●✕❁❀ ❈ ✧✩✯❃✹✘✼✮✕✣✢✚P❵✯✖✕☞✼❡✢q✼❯✰ ❅❷❏✕✣✥☞✰✱✓✖✬❯P❵✯✖✕➅✥★✼❡✰✩✢✚✢✤✬❯P❵✯✖✕➊✢❜❍❩✰ ❈✖❈ ✼●✬❡P❁✯✖✕☛✛✰❛❅❆✕✵✹✚✴❁✕✵✬✮✼●✼➂✕❁❧❜✈❁✬✻✧✩✓❥✹✭✕✵❅ ❈ ✼❡✰✻✥❜✕♥✥★✕✵✼✮✼●✕✣✢ ❳ ✥❜✬ ❈ ✰✱✹➅✽✲✕✣✢☛❏✕✵✼●✕✣✥❜✗✚✹✭✧✩✓❣✢ ✕✵✗❞✽✶✕✣✢q✓❃✧✱❽✲✰✣✯✖❫⑥✰✱✗✚✧✩❅❆✬❯P❵✯✖✕❚✢❘✕✵✓➉✬●✓✶✗✚✕✵✹✺✰✻✥❜✗✭✬●✧✩✓✸✥★✧✩✯✖✼●✧✩❅✎❱✖✬✮✕✵✓❃✓✖✕ ❲ ❏ ✕☞❑❁✰✱✼●✕✵❅❆✕✵✓✲✗❘✕☞✓ ✗✖✙✘ ❙ ❨ ❀❊✼❯✰ ✗✺✰✣✬✮✼●✼✮✕❥✽✶✯✳✢✫❽✖✢✫✗✵✛✕✵❅❆✕☛✬✮❅ ❈ ✧①✢✤✕❥✽◗❍❪✯✖✗✚✬✮✼✮✬❯✢✤✕✵✹✑✼●✕✔❉❺✧✩✹✚❅✷✰✱✼●✬❡✢✤❅❞✕☛P❵✯✪✰✣✓✶✗✚✬❡P❁✯✖✕❁❧✖➈☛✓✳✢✤✕❥✹✭✕✵✗✚✹✭✧✻✯✖✴❁✕❥✽✶✧✻✓✪✥ ❉❋✰✩✥★✕✦✰✱✯ ❈ ✹✚✧✩❱✖✼❋✛✕✵❅❆✕❭✽✶✕✦P❵✯❣✰✱✓✲✗✭✬➑st✥✵✰✱✗✚✬✮✧✩✓ ❲ ✥✻❍❪✕✣✢✫✗ ❳ ✛✰ ❳ ✽✶✬✮✹✚✕➙❀❝✽❛❏✕✵✗✚✕✵✹✭❅❆✬●✓✖✕✵✹❴✼●✕❄✢ ❈ ✕❚✥❜✗✭✹✚✕✘✕✵✗✷✼✮✕✣✢

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