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Submitted on 7 Nov 2003
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Schémas numériques instationnaires pour des
écoulements multiphasiques multiconstituants dans des
bassins sédimentaires
Lionel Nadau
To cite this version:
Lionel Nadau. Schémas numériques instationnaires pour des écoulements multiphasiques
multicon-stituants dans des bassins sédimentaires. Mathématiques [math]. Université de Pau et des Pays de
l’Adour, 2003. Français. �tel-00003624�
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✁✓✂✄☎✔✆✕✆✝✖✘✗✠✡✒✆✕✙✚✁☛✌✜✛✢✡✒✣✏✌✚☎✤☎✥✍✧✦✩★✪✡✔✣✫✆✝✍✬☎✝✭✏✭✮☎✝✑
✦ ☎ ✍✡ ✁✒✑ ✁☛✣✏✭✟✁✔✓☎✥✍✕✓☎ ☎✗✖ ☎✙✘✥✍✗✚✓☎ ☎✴✌✛✘ ✰☛✭✏✭✁✢✜☞✰☛✡ ✁✢✍✣✵✰☛✌ ✁✒✑☛☎✙✘ ✭✁✤✣ ✣✥✑ ✣✲✆✒✣✵✰☛✌✧✦✒✌✩★✴✰☛✡✒✂✤✁✢✍✣✫✪✴✗✎☎✭✬ ✁✢✍✏★✮✓☎✴✂✤✁✢✍✣✗✪✥✗✎☎✔✆ ✯ ✞✪✞✜✭✣✫✪✴✗✚✓☎ ☎✔✆✯✛✪☎✯✭✱✰✦✒✌ ✆✔✍✣✍✗✠✍✳✲ ✡ ✁☛✌✵✴ ✘ ✁☛✣✲✆ ✛☛✗✷✶✸✓☎✴✍ ✡ ✰☛✭✳☎✥✶ ✹ ☎✯✍✣✱☎✝✌ ✆ ✁✓✡☞☎✝✂✄☎✝✡✱✘✴✣✱☎✝✡✚✺✼✻✏✽✥✾❀✿✳❁❃❂✍❄❆❅❇❅❉❈✚❊ ☎✴✍❋❅❇●❍✽❏■▲❑◆▼P❖◗❈❙❘❯❚ ✞ ✰☛✗✠✡✯✁❱✑ ✰✢✣✲✡ ✣✏✌ ✣✍✣▲✓☎✠✘✔☎✟✞✚✡ ✰❳❲✥☎✴✍ ☎✥✍ ✂❨✰✁❱✑☛✰☛✣✏✡❬❩✢✗✠✣✵✛❉✓☎✯✍✱✰☛✗ ✍ ✁☛✗ ✭✮✰☛✌✢❩ ✛✪☎✠✘✔☎✴✍✵✍✬☎ ✍✏★ ☎✝✆✴☎✥✶ ✹ ☎✯✡☞☎✝✂✄☎✴✡❳✘✥✣✵☎❆❭✍❪▼✢❫❴✾❀❫❴❁❵❭✠❄❛❭☎❊✤❜❞❝✮❡ ✛✡✰✁❱✑☛✰☛✣✏✡ ✁❢✘❣✘✒☎✞ ✍✕✓☎ ✛✪☎ ✞✜✡❤✓☎✔✆✒✣✵✛✪☎✴✡ ✭✳☎✐❲✔✗✠✡❣❥ ✶ ❚✳✾❀●❧❦✒✾✏✽♠✽♦♥♦❜♣❊✤q✤rs❄✭❘✉t✈❈✇❝✮❊ ☎✥✍✚❄✼✽✗✾✏❑◆✿①♥❞❈✇❝✮✺✇❭☎❜✚❄❆② ✰☛✌✎✍✯✁③✘④✘✒☎ ✞✚✍❍✓☎ ✛⑤✰✫⑥☎✴✍✡☞☎ ✂✄☎✝✆ ✡ ✁✒✞ ✞ ✰☛✡❣⑦ ✍✬☎✝✗✠✡✒✆✝✶ ✹ ☎ ✭✮☎✴✗ ✡ ✆✝✁☛✣✲✆❯❩ ✡❤✓☎✕✛ ☎ ✭❳✰✣✏✌✎✍⑧⑥☎✝✡☞☎✴✍✐✪✥✗✳✰✣✏✭✆✧✰☛✌✜✍✜✞✠✰☛✡✝✍✕✓☎ ✁⑨✘✔☎ ✍ ✡ ✁✒✑ ✁☛✣✏✭ ✁✢✣✲✌ ✆✔✣❇✪✥✗✎☎ ✛✪☎ ✭✳☎✝✗✠✡ ✆✧✡ ☎✴✂ ✁✢✡❳✪✥✗ ☎✝✆ ✘ ✰☛✌ ✆✔✍✡✔✗❍✘ ✍✣❏✑✢☎✔✆✴✶ ✹ ☎ ✡ ☎✴✂✄☎✝✡✱✘✴✣✱☎ ✁ ✌✜✰✢✗▲✑✢☎☞✁☛✗♦✺✼✻✏✽✥✾❀✿✳❁⑩❂❶❄⑩❅❇❅❉❈❙❊ ☎✴✍❷❅❇●❍✽❏■▲❑◆▼❸❖◗❈❙❘❋❚ ✛⑤✰✁✒✑ ✰☛✣✏✡ ✁❢✘④✘✔☎ ✞✚✍❍✓☎ ✛✪☎✩✞✠✁✢✡✔✍✣✫✘✴✣✞ ☎✝✡ ✁☛✗☛❲✔✗✠✡❣❥ ✶ ✹ ✰☎✙❹✝✞✜✡✔✣✲✂✄☎✧✆✬✞☎✓☎✩✘✥✣✁☛✭✳☎✝✂✄☎✴✌✎✍ ✍✱✰☛✗ ✍✬☎✧✂ ✁✚❩ ✡ ✁ ✍✣✏✍ ✗ ✛✪☎ ✁☎❂❺✻✏❻❼✾❀❽✈▼❾❁✇❄⑩❂✍❄✷✺⑩❄❿✪✴✗✠✣ ✂❨✰✁➀★✴✁☛✣✍ ✭❳✰★ ✰☛✌ ✌ ☎✝✗✠✡ ✛⑤✰✫⑥☎✴✍✡☞☎ ✂✤✰☛✌ ✛☛✣✲✡☞☎✙✘ ✍✬☎✝✗✠✡ ✛✪☎ ✍✏★ ☎✔✆✴☎ ☎✴✍✼✪✥✗✠✣ ✂❨✰✁✈❩✢✗✠✣✛❉✓☎ ✛ ✁☛✌ ✆ ✗✠✌✚☎⑨★✝✰☛✡✔✂✤✁✢✍✣✵✰☛✌ ✛ ☎ ✂✤✁✢✍✏★✮✓☎✴✂ ✁ ✍✣✗✪✥✗ ☎✝✆ ✁✒✞ ✞✜✭✣✫✪✴✗♣✓☎ ☎✝✆✝✶ ✹ ☎ ✍✣✱☎✝✌ ✆ ✁ ✡☞☎✝✂✄☎✝✡✱✘✴✣✱☎✝✡➁✓☎④❩✪✁☛✭✳☎✝✂✄☎✝✌✜✍⑨t❞✾❀■✢❑➂❁➃②➀✺✧❝✞➄❤➅⑧❘❯❘✚❈ ✞✠✰✢✗ ✡ ✆✥☎✔✆❨✘ ✰☛✌ ✆✴☎✝✣✏✭✆✔✓☎❴✘✴✭✮✁☛✣✲✡❇✓☎✔✆ ☎✴✍ ✆✝✰☛✌ ✆✝✰☛✗ ✍✣✱☎✝✌ ✁☛✗❛✘ ✰☛✗✠✡✒✆ ✛✪☎✯✍✱✰☛✗ ✍✬☎✔✆ ✭✳☎✔✆➆✓☎✥✍✱✁✒✞ ☎✔✆ ✛✪☎♦✘✒☎ ✍ ✡ ✁❱✑ ✁✢✣✲✭✮✶ ✹ ☎ ✡ ☎✴✂✄☎✝✡✱✘✴✣✱☎❞➇✮❻⑤✾❀✿❤➈✙✾✏✽♣▼③➈♦❂◗❑◆➉③❻❙➊▼❢✽✗▼ ✞ ✰☛✗✠✡ ✭✳☎✝✗✠✡ ✁☛✣✵✛✪☎✧✞✜✡❇✓☎✩✘✥✣✵☎✴✗ ✆✴☎ ✛ ✁✢✌ ✆ ✭✳☎✔✆ ✛❉✓☎✝✂✤✁☛✡✱✘✝★ ☎✔✆✄✁ ✛☛✂ ✣✏✌ ✣✫✆➋⑦ ✍ ✡ ✁ ✍✣❏✑✢☎✔✆✝✶ ✹ ☎✄✡☞☎✝✂✄☎✝✡✱✘✴✣✱☎✕✞✠✁☛✡✝✍✣✗✘✥✗✠✭✣☎✝✡☞☎✝✂✄☎✝✌✜✍❉✲ ✁③✜✝✣✱☎✝✌ ✑✉✶ ✁☛✗✠✭✑ ✯ ✌ ✌ ☎➌⑦➍✬ ✁☛✡✔✣✵☎✝✑ ✯ ✭✮☎④❹✢✣✲✆ ✑❯✬ ✁☛✡✒✣✱☎✔✑❯✲ ✡❤✓☎ ✛❉✓☎✝✡✔✣✫✘✝✑❉➎ ✁☛✗✠✡ ☎✝✑ ➏ ✭✣✥✑ ✣✱☎✝✡✒✑ ✦ ✁✢✡ ✰☛✭✣✏✌✚☎✔✑ ✹ ✰☛✌ ✑✳➐✯✁ ✛☛✣✵✁ ✑ ✦ ✁☛✡✔✣✲✌✚☎✝✑✐✶ ✁☛✗✠✭✑✐➑ ✁☛✡✔✣✲✌✚☎✝✑✐➎✐➒ ✍✣✏✍ ✣✵✁ ✑➀➓✟✂ ✣✏✭✣✱☎✔✑✐✶ ✁✢✍✡✔✣✗✘→➔ ✑✐➣ ☎✴✡✔✍✡ ✁☛✌✜✛☛✑ ↔ ✭✡✔✣✗✘✴★ ✑✮➣ ✡✔✗✠✌✜✰ ✑ ✹ ☎ ✁☛✌❧⑦➍✬ ✁☛✡✱✘✝✑ ✙✚✁✢✌✜✛☛✡✔✣✲✌✚☎✝✑✄✦ ✁☛✡ ✰✢✭✮☎✝✑ ✹ ✓ ☎✴✡❀⑥✰☛✂✄☎✝✑✞✲ ✭✮✰☛✡ ☎✴✌✏✘✒☎✝✑❬↕ ☎✝✌☛✓☎✔✑➙✬ ✰☛✌ ✣✫✪✴✗✎☎✝✑ ✦✩★✪✡✔✣✫✆➋⑦ ✍ ✣✁✢✌ ✑❙✶ ✣✵☎✴✡✒✡☞☎✔✑❛➛➜✓☎✴✡ ✰☛✌✎✣✗✪✥✗ ☎✝✑ ✙✵❥☛✭➝✑ ✣✱☎✔✑ ✹ ☎☞✁✢✌❧⑦✫✲ ✡ ✁✢✌✵✴ ✘ ✰☛✣✲✆ ✑ ✦✩★✪✡✔✣✲✆✔✍✱✰✒✞✎★ ☎✔✑❆➞✟✗ ✣✏✭✏✭✁☛✗✠✂✄☎✔✑❙➎ ✁☛✗✠✡☞☎✝✌✎✍✏✑ ✦✩★✪✡✔✣✫✆➋⑦ ✍✬☎✝✭✏✭✮☎✝✑❇➑ ✁☛✡✔✣✲✌✎✌✚☎✔✑❇➎ ✁☛✗✠✡ ☎✴✌✎✍✏✑♦➛ ✣✏✌✏✘✒☎✴✌✎✍✏✑❬➟ ★ ✰☛✂✤✁ ✆ ✞ ✰☛✗✠✡ ✭✳☎✝✗✠✡✕✆✝✰✢✗✠✍ ✣✱☎✝✌ ☎✥✍✘✁☛✂ ✣✍✣▲✓☎ ✶ ↔ ✌ ☎ ✞ ☎✝✌ ✆❤✓☎ ☎✭✑☛✁✇✑☛☎✝✡✒✆ ✦ ✭✮✁☛✗ ✛☛✣✲✌ ☎✼➎ ✁❱✑ ✣✵☎⑩✪✥✗✠✣ ✂✸✰✁ ✣✏✌ ✣✏✍✣✕✓☎ ✁☛✗❢❹✠❲✴✰☛✣✵☎✝✆✓✛✪☎✔✆✓✂ ✁ ✍✏★➙✓☎✝✂✤✁✢✍✣✫✪✴✗✎☎✔✆✴✶ ✹ ☎✓✭❳✰☎✝✌ ✡ ☎✴✂✄☎✝✡✱✘✴✣✱☎✥✶ ➓✟✌✩➠ ✌ ✑➡❲❍✰☎④❹✔✞✜✡✔✣✏✂✤☎✓✍✱✰☛✗ ✍✬☎✓✂✤✁ ✡ ☎④✘ ✰☛✌✎✌✜✁☛✣✲✆ ✆✝✁✢✌✏✘✒☎ ✁ ✂✤✁☎★✝✁✢✂ ✣✏✭✏✭✮☎✄✆✴✁☛✌ ✆✤✭✮✁❢✪✴✗✎☎✝✭✏✭✳☎✭✘✔☎✴✍✵✍✬☎✓✍✏★ ☎✝✆✴☎✓✌❀✰✁☛✗✠✡ ✁☛✣✏✍ ✞✜✗ ✁✢✜☞✰☛✗ ✍ ✣✏✡✝✶
✔ ✕✗✖✙✘✛✚✢✜✤✣✦✥★✧✩✘✢✪✫✜✙✖ ✔ ✬ ✭✮✚✰✯ ✱✳✲✗✱ ✖✙✘✵✴✶✘✵✪✷✜✸✖ ✱ ✘✺✹✻✜✤✣✼✯ ✱✳✽ ✪ ✲ ✴✶✘✢✪✫✜✙✖✾✣ ✱✿✲❁❀❃❂ ✯ ✱ ✖❄✜✸✹❆❅ ✱ ✖ ✱✳✲ ✪❇✹ ❀✦✽ ✪✷❈❉✥❊✯ ✱✳✲ ✣❄✴✸✖ ✲ ✥❃✖❆❋❄✴ ✲✛✲ ✪❇✖ ✲ ✯ ✱ ✣✦✪✷✹ ✱ ✖✙✘✛✴●✪✷✚ ✱ ❍ ■✳❏▲❑ ▼✶◆✩❖◗P❁❘❚❙❱❯❲◆❨❳❬❩✤❭❫❪●❳❵❴●❘✩❛❱❛❱❯▲❳❜❛✳❝ ❞ ❩●❯▲P ❞ ❳✿❙❱❘✩❯❲❖ ❞✩❡❣❢❲❞ ❛✐❤✸❥✝❝ ❞ ❳✶◆❨P❵❦ ❞ ❳ ❞ ❛❧P♠❯▲❛ ❞ ❳❊♥ ❞ ❪♦❏✮❏♣❏q❏✮❏✮❏q❏ r ■✳❏▲❑❚❏▲❑ st❖✉❝ ❞ ❘❚❙❱❯▲◆❨❳❬❩✤❭❫❪✈❳❵❴✸❘✩❛❱❛❱❯▲❳✇❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏ r ■✳❏▲❑❚❏①■ ②❄❘✏❛✿❝ ❞ ❩✈❯▲P ❞ ❳✿❙❱❘❚❙❱❯❲◆❨❳✇❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏✠❑✩❑ ■✳❏▲❑❚❏①③ ②❄❘✏④⑤◆❨P✏❤●❘✩④⑤❙❱❯❲◆❨❳ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏✠❑✗■ ■✳❏▲❑❚❏⑦⑥ ②❄❘✼❙ ❞ P✏❤t❝ ❞ ❖◗❘❚❙❱❪✶❖ ❞ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏✠❑✗③ ■✳❏▲❑❚❏①⑧ ② ❞ ④⑤❖◗❘✩⑨✿❪●❘❚⑩ ❞♣❞ ❙ ❢ ❘✏P❁❯❲⑩✩❖◗❘❚❙❱❯❲◆❨❳❜❩ ❞ ❛❷❶✸❪✈❯▲❩ ❞ ❛❁❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏✠❑✗③ ■✳❏①■ ❸❹◆✳❩t❝ ❞✗❢ ❯❺❛❱❘❚❙❱❯❲◆❨❳❻❩ ❞ ❛❼❤●❥✝❝ ❞ ❳✶◆❨P❜❦ ❞ ❳ ❞ ❛❧❩✤❭❫❪✈❳❵❴●❘✩❛◗❛❱❯▲❳❽❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏✠❑✗❾ ■✳❏①■✳❏▲❑ ❸❹◆✳❩t❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳❻❩ ❞✮❢ ❘✏④⑤◆❨P✏❤●❘✩④⑤❙❱❯❲◆❨❳ ❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏✠❑✗❾ ■✳❏①■✳❏①■ ❸❹◆✳❩t❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳❻❩●❪❜④⑤❖◗❘✩⑨✿❪●❘❚⑩ ❞ ❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏✠❑✛❿ ■✳❏①■✳❏①③ ❸❹◆✳❩t❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳❻❩ ❞ ❛➀❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳✿❙❱❛✾❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏✠❑✗r ➁ ➂➃✜✤✣✝❅ ✱✳✽✷✱✳✲ ✣❣➄✛✯ ✱ ✧❨✜✸✥ ✽✷✱ ✹ ✱ ✖✙✘❁✣ ✱➅❀✦❂ ✴ ✲✛✱✿✲ ✬✙➆ ③✳❏▲❑ ➇➈❳➉❙➊❖❱◆✉❩✈❪✈④⑤❙❱❯▲◆❨❳❬❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋■❨❿ ③✳❏①■ ➌❧❖◗❘✩❳●❩ ❞ ❪✶❖◗❛ ❞ ❙➍❩t❝ ❞ ❤ ❞ ❳✈❩●❘✩❳✈④ ❞ ❛❻❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋■✩r ③✳❏①■✳❏▲❑ ➎❣❖✳❝ ❞ ❛ ❞ ❳➉❙❱❘❚❙❱❯▲◆❨❳❹❩ ❞ ❛❼⑩✩❖◗❘✩❳✈❩ ❞ ❪✶❖➏❛ ❞ ❙➍❩ ❞✮❢❲❞ ❪✶❖❼❩t❝ ❞ ❤ ❞ ❳✈❩●❘✩❳✈④ ❞ ❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋■✩r ③✳❏①■✳❏①■ ➐ ❞✗❢ ❘❚❙❱❯❲◆❨❳✈❛ ❞ ❳✿❙➊❖ ❞ ④ ❞ ❖◗❙❱❘✩❯▲❳ ❞ ❛❷⑩✩❖◗❘✩❳●❩ ❞ ❪✶❖◗❛❁❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋③❚➑ ③✳❏①③ ❸❹◆✳❩✤❦ ❞✗❢❲❞ ❩✤❭➒❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳✿❙ ❞ ❳❻❸➅❘✩❛❱❛ ❞ ❛➊➓→➔✉❘❚❙❱❪✶❖◗❘❚❙❱❯❲◆❨❳●❛➣❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋③✩■ ③✳❏①③✳❏▲❑ ❸❹◆✳❩t❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳❻P❁❘❚❙❱❥✝❝ ❞ P♠❘❚❙❱❯▲⑨✳❪ ❞ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋③✩■ ③✳❏①③✳❏①■ st◆❨P♠❤●❘❚❖◗❘✩❯▲❛➊◆❨❳❆❩✈❪↔P✏◆✳❩✤❦ ❞✗❢▲❞ ❩✤❭→❝ ❞ ④⑤◆❨❪ ❢▲❞ P ❞ ❳➉❙ ❞ ❳↔P♠❘✩❛❱❛ ❞ ❛➊➓↕❛❱❘❚❙❱❪✶❖◗❘❚❙❱❯❲◆❨❳●❛✺❘✛➙ ❞ ④ ❪✈❳➣P✏◆✉❩✤❦ ❞✗❢❲❞ ④ ❢ ❘✩❛❱❛❱❯❺⑨✿❪ ❞ ❩✤❭→❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳➉❙♠④⑤◆❨P✏❤➛◆❨❛❱❯▲❙❱❯❲◆❨❳✈❳ ❞✗❢ ❯▲❛❱❛❱❪➜❩ ❞ ❛✏P♠❯ ❢ ❯ ❞ ❪✉➝ ❩ ❞✮❢ ❘✏P✏◆✳❩t❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳❜❩ ❞ ❛❼❖✳❝ ❞ ❛ ❞ ❖❱➙✩◆❨❯❲❖◗❛➞❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋③✩⑧ ③✳❏⑦⑥ ❸❹◆✳❩✤❦ ❞✗❢❲❞♣❞ ❳❻P♠❘✩❛❱❛ ❞ ❩ ❞ P➟❝ ❞✗❢ ❘✩❳✶⑩ ❞ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋③❨❿ ③✳❏①⑧ ❸❹◆✳❩✤❦ ❞✗❢❲❞♣❞ ❳❻P♠❘✩❛❱❛ ❞ ❛➠❩ ❞ ④⑤◆❨P✏❤➛◆❨❛✳❝ ❞ ❛➡❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➢⑥✈❑ ③✳❏①⑧✳❏▲❑ P✏◆✉❩t❝ ❞✗❢ ❯▲❛◗❘❚❙❱❯❲◆❨❳❜P♠❘❚❙❱❥t❝ ❞ P♠❘❚❙❱❯▲⑨✳❪ ❞ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➢⑥✈❑ ③✳❏①⑧✳❏①■ st◆❨P♠❤●❘❚❖◗❘✩❯▲❛➊◆❨❳✓❩✈❪✍P♠◆✳❩✤❦ ❞✗❢❲❞➤❞ ❳✍P♠❘✩❛◗❛ ❞ ❛❻❩ ❞ ④⑤◆❨P✏❤➛◆❨❛✳❝ ❞ ❛❬❘✛➙ ❞ ④➥❪✈❳✍P✏◆✉❩✤❦ ❞✗❢❲❞ ④⑤◆❨P✏❤➛◆❨❛❱❯▲❙❱❯❲◆❨❳✈❳ ❞✗❢ ❯▲❛❱❛◗❪❜❩ ❞✮❢ ❘✏P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯▲◆❨❳❜❩ ❞ ❛❼❖✉❝ ❞ ❛ ❞ ❖◗➙✩◆❨❯❲❖◗❛✓❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➢⑥✩⑥ ③✳❏①❾ ② ❞ ❛➍❥➉➦✳❤➛◆✩❙❱❥➛❦ ❞ ❛ ❞ ❛ ❞ ❙➠❤●❘❚❖◗❘✩P❜❦ ❞ ❙➊❖ ❞ ❛➠❩✤❭➒❝ ❞ ❙❱❪✈❩ ❞ ❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➢⑥➉➧
③✳❏①❾✳❏▲❑ ② ❞ ❩✶◆❨P♠❘✩❯▲❳ ❞ ❩❉❭➒❝ ❞ ❙❱❪●❩ ❞ ❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➢⑥➉➧ ③✳❏①❾✳❏①■ ② ❞ ❛❼❥➉➦✳❤➛◆✩❙❱❥➛❦ ❞ ❛ ❞ ❛➍❩❉❭➒❝ ❞ ❙❱❪●❩ ❞ ❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➢⑥➉r ③✳❏①❾✳❏①③ ② ❞ ❛❷❤●❘❚❖◗❘✩P❜❦ ❞ ❙➊❖ ❞ ❛❧❩✤❭→❝ ❞ ❙❱❪✈❩ ❞ ❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋⑧❚➑ ✗ ✘ ✱ ✧ ❂ ✖❄✪✷❈❉✥ ✱✿✲ ✖✤✥❄✹ ✯ ✱ ✚✢✪✷❈❉✥ ✱✿✲ ✥★✘✵✪ ✽ ✪ ✲ ✯ ✱✿✱✳✲ ✙✂✙ ⑥✶❏▲❑ ➎ ❖✉❝ ❞ ❛ ❞ ❳➉❙❱❘❚❙❱❯❲◆❨❳❹⑩❄❝ ❞ ❳✝❝ ❞ ❖◗❘ ❢❲❞ ❩ ❞ ❛✛✚✰◆ ❢ ❪●P ❞ ❛❼▼✦❯▲❳✈❯▲❛✢✜✣✚ ▼✥✤✺❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋⑧✩⑧ ⑥✶❏①■ ② ❞ ❛◗④◗❥t❝ ❞ P♠❘✺❩ ❞ ❩✈❯▲❛◗④⑤❖✳❝ ❞ ❙❱❯▲❛❱❘❚❙❱❯❲◆❨❳ ❞ ❳ ❞ ❛➊❤●❘✩④ ❞ ✜✣✚ ▼✰⑧✦✤➠❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋⑧✩❾ ⑥✶❏①■✳❏▲❑ ② ❞ P♠❘✩❯ ❢▲❢ ❘❚⑩ ❞ ❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋⑧✩❾ ⑥✶❏①■✳❏①■ ✧❧❳ ❞ ➝ ❞ P✏❤ ❢❲❞ ❩ ❞ ➙✩◆ ❢ ❪✈P ❞ ❛✌★✸❳●❯▲❛ ❡✰❢❲❞ ✚ ▼✦⑧ ❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋⑧✩r ⑥✶❏①③ ✩ ❯▲❛❱④⑤❖✉❝ ❞ ❙❱❯▲❛◗❘❚❙❱❯❲◆❨❳ ❞ ❳❜❙ ❞ P♠❤●❛ ❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾✉❑ ⑥✶❏①③✳❏▲❑ s✐❘ ❢ ④ ❪ ❢ ❩ ❞✮❢ ❘✼❤➛◆✩❖❱◆❨❛❱❯▲❙✿❝ ❞ ❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾✉❑ ⑥✶❏①③✳❏①■ ➔✳❤ ❢ ❯❲❙➊❙❱❯▲❳✶⑩✼❩✈❪❵❙ ❞ ❖◗P ❞ ❛➊◆❨❪✶❖◗④ ❞ ❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾✩■ ⑥✶❏①③✳❏①③ ➔✉④➏❥✝❝ ❞ P♠❘♠❖ ❞ ❙ ❞ ❳✿❪❜❤➛◆❨❪✶❖ ❢▲❞ ④ ❘ ❢ ④ ❪ ❢ ❩ ❞ ❛✺❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳✿❙❱❛➟❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾✩③ ⑥✶❏①③✳❏⑦⑥ ✩❻❝ ❞ ④⑤◆❨❪✶❤ ❢ ❘❚⑩ ❞✫✪ ❥ ❞ ❖◗P♠◆✳❩✶➦✉❳✈❘✩P♠❯❺⑨✿❪ ❞ ➓ ✪ ❖◗❘✩❳✈❛❱❤✙◆✩❖◗❙ ❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾✩⑧ ⑥✶❏①③✳❏①⑧ ➐❵❝ ❞ ❛◗❪✈P➟❝ ❞ ❩ ❞✮❢ ❘✏❩✈❯▲❛❱④⑤❖✉❝ ❞ ❙❱❯▲❛◗❘❚❙❱❯❲◆❨❳ ❞ ❳❜❙ ❞ P✏❤✸❛ ❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾✩❾ ✙ ✬ ✜✙✹ ❀ ✴✈✚✢✴●✪ ✲ ✜✸✖ ✣ ✱✳✲ ✘✛✚✢✜✸✪ ✲ ✹➟✜✤✣✝❅ ✱✳✽✷✱✳✲ ✣❣➄✛✯ ✱ ✧❨✜✸✥ ✽✷✱ ✹ ✱ ✖✙✘ ✭➛➆ ⑧✳❏▲❑ ➇➈❳➉❙➊❖❱◆✉❩✈❪✈④⑤❙❱❯▲◆❨❳❬❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾❨❿ ⑧✳❏①■ ② ❞ P♠◆✳❩✤❦ ❞✗❢❲❞♣❞ ❳❻❸❹❘✩❛◗❛ ❞ ❛➈➓→➔✉❘❚❙❱❪✶❖➏❘❚❙❱❯❲◆❨❳✈❛↔❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾✩r ⑧✳❏①■✳❏▲❑ ✩ ❯▲❛❱④⑤❖✉❝ ❞ ❙❱❯❺❛❱❘❚❙❱❯❲◆❨❳❬❩●❪❜P✏◆✳❩✤❦ ❞✗❢▲❞ ❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋❾✩r ⑧✳❏①■✳❏①■ ➐❵❝ ❞ ❛◗❪ ❢ ❙❱❘❚❙❱❛➍❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ❛ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏ ❿✳❑ ⑧✳❏①■✳❏①③ ②❄❯▲P♠❯❲❙ ❞ ❛❷❩✈❪❜P♠◆✳❩✤❦ ❞✗❢❲❞ ❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏ ❿❚⑧ ⑧✳❏①③ ② ❞ P♠◆✳❩✤❦ ❞✗❢❲❞♣❞ ❳❻P♠❘✩❛❱❛ ❞ ❩ ❞ P➟❝ ❞✗❢ ❘✩❳✶⑩ ❞ ❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏ ❿✩❿ ⑧✳❏①③✳❏▲❑ ➐❵❝ ❞ ❛◗❪ ❢ ❙❱❘❚❙❱❛➍❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ❛ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏ ❿❚r ⑧✳❏①③✳❏①■ ②❄❯▲P♠❯❲❙ ❞ ❛❷❩✈❪❜P♠◆✳❩✤❦ ❞✗❢❲❞ ❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋➧✩③ ⑧✳❏⑦⑥ ② ❞ P♠◆✳❩✤❦ ❞✗❢❲❞♣❞ ❳❻P♠❘✩❛❱❛ ❞ ❛➠❩ ❞ ④⑤◆❨P✏❤➛◆❨❛✳❝ ❞ ❛ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋➧✩⑧ ⑧✳❏⑦⑥✶❏▲❑ ✩ ❯▲❛❱④⑤❖✉❝ ❞ ❙❱❯❺❛❱❘❚❙❱❯❲◆❨❳❬❛❱❤●❘❚❙❱❯❲◆❚➓ ❙ ❞ P✏❤➛◆✩❖ ❞✗❢▲❢▲❞ ❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋➧✩⑧ ⑧✳❏⑦⑥✶❏①■ ➐❵❝ ❞ ❛◗❪ ❢ ❙❱❘❚❙❱❛➍❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ❛ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋➧✩❾ ⑧✳❏⑦⑥✶❏①③ ②❄❯▲P♠❯❲❙ ❞ ❛❷❩✈❪❜P♠◆✳❩✤❦ ❞✗❢❲❞ ❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋r✩❾ ⑧✳❏①⑧ st◆❨❳✈④ ❢ ❪✈❛❱❯❲◆❨❳ ❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋r❨❿ ✭ ✮❻✖ ✱ ✴ ❀❄❀ ✚✵✜✤✧ ❂❄✱ ✣ ✱ ✣✼✯ ✱ ✧❨✜✸✥ ❀✦✽ ✴✂✯ ✱ ❍●❍ ❾✳❏▲❑ ❸❹◆✩❙❱❯❲➙✢❘❚❙❱❯▲◆❨❳ ❞ ❙❼❤✈❖➏❯▲❳✈④ ❯❲❤ ❞ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏➋r✩r ❾✳❏①■ ✧❧❳ ❞ ❤✈❖ ❞ P♠❯ ❦ ❞ ❖ ❞ ❘❚❤✈❤✈❖❱◆✉④◗❥ ❞ ❩ ❞✮❢ ❭➒❝ ❞ ⑨✿❪●❘❚❙❱❯❲◆❨❳ ❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑ ➑✩➑ ❾✳❏①■✳❏▲❑ ✩ ❞ ❛❱④⑤❖◗❯▲❤✈❙❱❯❲◆❨❳❜❩✈❪❻P♠◆✳❩✤❦ ❞✗❢❲❞ ❦❘♠❖✳❝ ❞ ❛➊◆❨❪✈❩✶❖ ❞ ❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑ ➑✩➑ ❾✳❏①■✳❏①■ st◆❨P❁P ❞ ❳➉❙❱❘✩❯▲❖ ❞ ❛ ❞ ❙❼❖ ❞ P❁❘❚❖◗⑨✿❪ ❞ ❛❼❛❱❪✶❖ ❢❲❞ ❳✈◆❨❪✶➙ ❞ ❘✩❪❬❛❱④➏❥✝❝ ❞ P♠❘➜❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑ ➑❨■ ❾✳❏①■✳❏①③ ➐❵❝ ❞ ❛◗❪ ❢ ❙❱❘❚❙❱❛➍❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ❛ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑ ➑❨❾ ❾✳❏①③ ✧❧❳ ❞ ❛ ❞ ④⑤◆❨❳✈❩ ❞ ❘❚❤✈❤✈❖❱◆✉④◗❥ ❞ ❩ ❞♣❢ ❭➒❝ ❞ ⑨✿❪●❘❚❙❱❯❲◆❨❳ ❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗■✩③ ❾✳❏①③✳❏▲❑ ✰➠◆❨❪✶➙ ❞✗❢▲❢❲❞ ❝ ❞ ⑨✿❪●❘❚❙❱❯❲◆❨❳↔❤✙◆❨❪✈❖ ❢❲❞ P✏◆✉❩✈❪ ❢❲❞ ❙❱❥ ❞ ❖◗P✏◆✉❩✶➦✳❳●❘✩P♠❯▲⑨✳❪ ❞ ❦❘➜P♠❘✩❛❱❛ ❞ ❛ ❞ ❙ ➙✩◆ ❢ ❪●P ❞ ④⑤◆❨❳✈❛➊❙❱❘✩❳✿❙❱❛➥❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗■✩③ ❾✳❏①③✳❏①■ ✧❧❳❆④ ❘✩❛✺❤●❘❚❖◗❙❱❯▲④ ❪ ❢ ❯ ❞ ❖❁❤✙◆❨❪✈❖ ❢ ❘➟❳✶◆❨❪✶➙ ❞✗❢▲❢▲❞ ❝ ❞ ⑨✿❪●❘❚❙❱❯❲◆❨❳↔❙❱❥ ❞ ❖◗P✏◆✉❩✶➦✉❳✈❘✩P♠❯▲⑨✳❪ ❞ ❦ ❘ P♠❘✩❛◗❛ ❞ ❛ ❞ ❙❼➙✩◆ ❢ ❪●P ❞ ④⑤◆❨❳✈❛➊❙❱❘✩❳✿❙❱❛ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗■✩⑧
❾✳❏①③✳❏①③ ➐❵❝ ❞ ❛◗❪ ❢ ❙❱❘❚❙❱❛➍❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ❛ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗■❨❿ ❾✳❏①③✳❏⑦⑥ ②★◆❨❯❉❩ ❞ ❩ ❞ ❳✈❛◗❯❲❙✿❝ ❞ P✏◆✳❩●❯★✐❝ ❞ ❞ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑⑤⑥❨➑ ❾✳❏⑦⑥ st◆❨❳✈④ ❢ ❪✈❛❱❯❲◆❨❳ ❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑⑤⑥✈❑ ➆ ✁ ✱✿✲ ✘✢✪✫✜✙✖ ✣✦✥ ❀ ✴ ✲ ✣ ✱ ✘ ✱ ✹ ❀❃✲ ✔ ✭●➁ ❿✿❏▲❑ ❯▲❳✿❙➊❖❱◆✉❩✈❪✈④⑤❙❱❯❲◆❨❳➣❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗❾✩③ ❿✿❏①■ ➐➍❘✄✂✺❳ ❞ P ❞ ❳✿❙❱❛ ❞ ❳❜❙ ❞ P✏❤✸❛ ❞ ❙ ❞ ❳ ❞ ❛➊❤✸❘✩④ ❞ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗❾✩③ ❿✿❏①■✳❏▲❑ ➔✉❯❺P ❪ ❢ ❘❚❙❱❯❲◆❨❳❵❛❱❪✶❖❼❪✈❳❻P❁❘✩❯ ❢▲❢ ❘❚⑩ ❞ ❑ ➑✆☎➥❑ ➑❁❛❱❘✩❳✈❛❷❖◗❘✄✂✺❳ ❞ P ❞ ❳✿❙ ❞ ❳❜❙ ❞ P✏❤●❛❻❏✮❏✮❏q❏❣❑✗❾✩③ ❿✿❏①■✳❏①■ ➐➠❘✄✂➀❳ ❞ P ❞ ❳✿❙ ❞ ❳❜❙ ❞ P✏❤✸❛❼❛❱❪✶❖❼❪✈❳❬P♠❘✩❯ ❢▲❢ ❘❚⑩ ❞ ❑ ➑✆☎✻❑ ➑➀❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗❾✩⑧ ❿✿❏①■✳❏①③ ➐➠❘✄✂➀❳ ❞ P ❞ ❳✿❙ ❞ ❳❜❙ ❞ P✏❤✸❛❼❛❱❪✶❖❼❪✈❳❬P♠❘✩❯ ❢▲❢ ❘❚⑩ ❞ ❑ ➑✝☎➍■❚➑ ❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗❾✩❾ ❿✿❏①■✳❏⑦⑥ ➐➠❘✄✂➀❳ ❞ P ❞ ❳✿❙ ❞ ❳❜❙ ❞ P✏❤✸❛❼❛❱❪✶❖❼❪✈❳❬P♠❘✩❯ ❢▲❢ ❘❚⑩ ❞ ❑ ➑✝☎❷⑥❨➑ ❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✗❾✩➧ ❿✿❏①■✳❏①⑧ ➐➠❘✄✂➀❳ ❞ P ❞ ❳✿❙ ❞ ❳❜❙ ❞ P✏❤✸❛❼❛❱❪✶❖❼❪✈❳❬P♠❘✩❯ ❢▲❢ ❘❚⑩ ❞ ■❚➑✝☎✮❑ ➑ ❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✛❿✢➑ ❿✿❏①■✳❏①❾ ➐➠❘✄✂➀❳ ❞ P ❞ ❳✿❙ ❞ ❳❜❙ ❞ P✏❤✸❛❼❛❱❪✶❖❼❪✈❳❬P♠❘✩❯ ❢▲❢ ❘❚⑩ ❞ ⑥❨➑✝☎✮❑ ➑ ❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✛❿✳❑ ❿✿❏①■✳❏❿ ➐➠❘✄✂➀❳ ❞ P ❞ ❳✿❙ ❞ ❳❜❙ ❞ P✏❤✸❛❼❛❱❪✶❖❼❪✈❳❬P♠❘✩❯ ❢▲❢ ❘❚⑩ ❞ ■❚➑✝☎➍■❚➑ ❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✛❿❚■ ❿✿❏①■✳❏①➧ ➐➠❘✄✂➀❳ ❞ P ❞ ❳✿❙ ❞ ❳❜❙ ❞ P✏❤✸❛❼❛❱❪✶❖❼❪✈❳❬P♠❘✩❯ ❢▲❢ ❘❚⑩ ❞ ⑥❨➑✝☎❷⑥❨➑ ❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✛❿❚③ ❿✿❏①■✳❏①r st◆❨❳●④ ❢ ❪✈❛❱❯❲◆❨❳ ❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❣❑✛❿❚③ ❿✿❏①③ ❸❹◆✩❙❱❯❲➙✢❘❚❙❱❯▲◆❨❳ ❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑✩➑ ❿✿❏⑦⑥ ❸➅❯▲❛ ❞q❞ ❳✟✞♣❪✈➙✿❖ ❞ ❩❉❭❫❪✈❳❵❤●❘✩❛❼❘✩❩✈❘❚❤●❙❱❘❚❙❱❯✡✠❷❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑✶❑ ❿✿❏⑦⑥✶❏▲❑ ✧❧❳ ❞ ❘✩❩✈❘❚❤✈❙❱❘❚❙❱❯▲◆❨❳ ❞ P✏❤●❯▲❖◗❯▲⑨✳❪ ❞ ❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑✶❑ ❿✿❏⑦⑥✶❏①■ ②❄❯▲P♠❯❲❙ ❞ ❛ ❞ ❙➍❯❺❳✈④⑤◆❨❳➉➙ ❝ ❞ ❳✈❯ ❞ ❳✿❙❱❛➍❩ ❞ ④ ❞ ❤●❘✩❛❼❩ ❞ ❙ ❞ P✏❤✸❛❬❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑❨③ ❿✿❏①⑧ ✰➠◆❨❪✶➙ ❞✗❢▲❢❲❞ ❛➊❙➊❖➏❘❚❙✿❝ ❞ ⑩❨❯ ❞ ❩ ❞ ❤✸❘✩❛❼❩ ❞ ❙ ❞ P✏❤●❛ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑❨⑧ ❿✿❏①⑧✳❏▲❑ ☛❧❖➏❯❲⑩❨❯▲❳ ❞ ❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑❨⑧ ❿✿❏①⑧✳❏①■ ➎❣❖✳❝ ❞ ❛ ❞ ❳➉❙❱❘❚❙❱❯▲◆❨❳❹❩ ❞✮❢ ❘✏❛➊❙➊❖◗❘❚❙✿❝ ❞ ⑩❨❯ ❞ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑❨⑧ ❿✿❏①⑧✳❏①③ ➔✉❯❺P ❪ ❢ ❘❚❙❱❯❲◆❨❳ ❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑➉❿ ❿✿❏①❾ st❖◗❯▲❙❱❯▲⑨✿❪ ❞ ❛❱❪✈❖ ❢ ❘✏P♠❯▲❛ ❞❧❞ ❳☞✞♣❪✶➙✳❖ ❞ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❚➑❨r ❿✿❏❿ ➔✉④➏❥✝❝ ❞ P♠❘❁❩✈❪❵❖➏❘✄✂➀❳ ❞ P ❞ ❳✿❙ ❢ ◆✉④ ❘ ❢➛❞ ❳❜❙ ❞ P✏❤●❛✄❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✉❑ ➑ ❿✿❏❿✿❏▲❑ st❖➏❯❲❙⑤❦ ❞ ❖ ❞ ❩ ❞ ④➏❥✶◆❨❯➝❜❩ ❞ ❛✍✌ ◆❨❳ ❞ ❛✼❦❘✏❖◗❘✄✂➀❳ ❞ ❖ ❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✉❑✗■ ❿✿❏❿✿❏①■ ✎ ❢ ⑩✩◆✩❖◗❯❲❙❱❥●P ❞ ❩✈❪❻❛❱④➏❥✝❝ ❞ P♠❘❁❳✳❪✈P➜❝ ❞ ❖◗❯▲⑨✳❪ ❞ ❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✉❑⑤⑥ ❿✿❏①➧ ➐❵❝ ❞ ❛❱❪ ❢ ❙❱❘❚❙❱❛➍❳✳❪✈P➜❝ ❞ ❖◗❯▲⑨✳❪ ❞ ❛➠❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✉❑✗⑧ ❿✿❏①➧✳❏▲❑ ✧❧❳❻④ ❘✩❛➍❯❺❳✈④⑤◆❨P✏❤✈❖ ❞ ❛◗❛❱❯❲❴ ❢❲❞ ❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✉❑✗⑧ ❿✿❏①➧✳❏①■ ✧❧❳❻④ ❘✩❛➍④⑤◆❨P♠❤✈❖ ❞ ❛❱❛❱❯▲❴ ❢❲❞ ❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩■✉❑ ❿✿❏①➧✳❏①③ ✩ ❞ ❛❱④⑤❖◗❯▲❤✈❙❱❯❲◆❨❳❜❩ ❞✮❢ ❘✏❛◗❯▲P ❪ ❢ ❘❚❙❱❯❲◆❨❳➣❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩■✉❑ ❿✿❏①➧✳❏⑦⑥ ➐❵❝ ❞ ❛◗❪ ❢ ❙❱❘❚❙❱❛ ❞ ❙➠④⑤◆❨❳✈④ ❢ ❪✈❛❱❯▲◆❨❳✈❛➃❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩■✉❑ ❿✿❏①r st◆❨❳✈④ ❢ ❪✈❛❱❯❲◆❨❳ ❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩■✉❑ ✏ ✑ ✲ ✘✵✪❇✹➟✴✶✘ ✱ ✥★✚ ✲ ✁ ✞✠✰ ✆✔✍✬☎✴✡✒✣✵✰☛✡✔✣ ❀ ✜✸✥❄✚❜✥❄✖ ✱ ✹➋✯ ✱ ✘ ❂ ✜✤✣ ✱ ✣ ✱✓✒ ✜ ✽ ✥❃✹ ✱✳✲✕✔ ✖❄✪ ✲ ✬✸✬✙➆ ➧✳❏▲❑ ➇➈❳➉❙➊❖❱◆✉❩✈❪✈④⑤❙❱❯▲◆❨❳❬❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩■❨❿ ➧✳❏①■ st◆❨❳✈❛❱❙➊❖◗❪✈④⑤❙❱❯❲◆❨❳❜❩✈❪❜P❁❘✩❯ ❢▲❢ ❘❚⑩ ❞ ❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩■✩➧ ➧✳❏①③ ✖❣❛❱❙❱❯▲P♠❘❚❙ ❞ ❪✶❖◗❛ ✁✕✞ ✰ ✆✔✍✬☎✴✡✒✣✵✰☛✡✔✣ ❤✙◆❨❪✈❖❼❪✈❳ ❞ ❝ ❞ ⑨✿❪●❘❚❙❱❯❲◆❨❳ ❞✗❢▲❢ ❯❲❤✈❙❱❯▲⑨✳❪ ❞ ❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩■✩r ➧✳❏①③✳❏▲❑ ✩ ❯▲❛❱④⑤❖✉❝ ❞ ❙❱❯❺❛❱❘❚❙❱❯❲◆❨❳❬❩●❪❵❤✈❖❱◆✩❴ ❢ ❦ ❞ P ❞ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩■✩r ➧✳❏①③✳❏①■ ✖✝❛➊❙❱❯▲P♠❘❚❙ ❞ ❪✶❖➏❛ ✁✕✞ ✰ ✆✔✍✬☎✴✡✒✣✵✰☛✡✔✣ ❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩③✉❑ ➧✳❏①③✳❏①③ ✪❄❞ ❛➊❙❱❛➍❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ❛➅❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩③✢⑥
➧✳❏⑦⑥ ✖❣❛❱❙❱❯▲P♠❘❚❙ ❞ ❪✶❖◗❛ ✁✕✞ ✰ ✆✔✍✬☎✴✡✒✣✵✰☛✡✔✣ ❤✙◆❨❪✈❖❼❪✈❳ ❞ ❝ ❞ ⑨✿❪●❘❚❙❱❯❲◆❨❳❻❤●❘❚❖➏❘❚❴✙◆ ❢ ❯▲⑨✿❪ ❞ ❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩③✩➧ ➧✳❏⑦⑥✶❏▲❑ ✩ ❯▲❛❱④⑤❖✉❝ ❞ ❙❱❯❺❛❱❘❚❙❱❯❲◆❨❳❬❩●❪❵❤✈❖❱◆✩❴ ❢ ❦ ❞ P ❞ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩③✩➧ ➧✳❏⑦⑥✶❏①■ ✪ ◆❨❪✶❖◗❛❼❩❉❭❫❥✶◆✩❖◗❯✡✌ ◆❨❳ ❞ ❙❼❖➏❘❚❤✈❤ ❞✗❢ ❛✼❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✢⑥❨➑ ➧✳❏⑦⑥✶❏①③ ✖✝❛➊❙❱❯▲P♠❘❚❙ ❞ ❪✶❖✁✄✂❁❤➛◆❨❪✶❖ ❢❲❞ ❤✈❖◗◆✩❴ ❢ ❦ ❞ P ❞ ❛ ❞ P♠❯❲➓↕❩✈❯▲❛❱④⑤❖✉❝ ❞ ❙❱❯▲❛✳❝ ❞ ❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✢⑥➉⑧ ➧✳❏⑦⑥✶❏⑦⑥ ✖✝❛➊❙❱❯▲P♠❘❚❙ ❞ ❪✶❖✁✄✂✆☎✝➜❤➛◆❨❪✶❖ ❢❲❞ ❛◗④◗❥t❝ ❞ P♠❘➀❛❱❘✩❳✈❛❼④⑤◆❨❳✈④ ❞ ❳✿❙➊❖◗❘❚❙❱❯❲◆❨❳➅❩ ❞ P♠❘✩❛◗❛ ❞ ❏✮❏✮❏q❏❄■✢⑥➉r ➧✳❏⑦⑥✶❏①⑧ ✖✝❛➊❙❱❯▲P♠❘❚❙ ❞ ❪✶❖✁✄✂✆☎✝➜❤➛◆❨❪✶❖ ❢❲❞ ❤●❖❱◆✩❴ ❢ ❦ ❞ P ❞ ❯▲❳●❯❲❙❱❯▲❘ ❢ ❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩⑧✩⑧ ➧✳❏⑦⑥✶❏①❾ ✪❄❞ ❛➊❙❱❛➍❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ❛➅❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■✩⑧✩r ➧✳❏⑦⑥✶❏❿ ✖✝❛➊❙❱❯▲P♠❘❚❙ ❞ ❪✶❖➏❛ ✁✕✞ ✰ ✆✔✍✬☎✴✡✒✣✵✰☛✡✔✣ ❢ ◆✉④ ❘✩❪✉➝ ❞ ❳❻❙ ❞ P✏❤●❛ ❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❨❿❚■ ➧✳❏①⑧ st◆❨❳✈④ ❢ ❪✈❛❱❯❲◆❨❳ ❏q❏✮❏♣❏✮❏q❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏✮❏q❏✮❏♣❏q❏✮❏✮❏q❏✮❏✮❏♣❏q❏✮❏✮❏q❏❄■❨❿❚❾ ❍ ✬ ✜✙✖★✧ ✽ ✥ ✲ ✪✷✜✸✖ ✱ ✘ ❀ ✱ ✚ ✲✗❀❣✱ ✧✩✘✢✪ ✒✙✱✿✲ ✬➛➆●➆
✍✏✎ ☛↔✑✆✑ ✞ ✒ ✓➃☛✍✌✔✑ ✎ ②★❘❹P✏◆✳❩t❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳➟❩ ❞ ❛✮❴●❘✩❛◗❛❱❯▲❳✈❛q❛✳❝ ❞ ❩✈❯❺P ❞ ❳➉❙❱❘✩❯▲❖ ❞ ❛♣❤ ❞ ❖◗P ❞ ❙♣❩ ❞ ❖ ❞ ❙➊❖➏❘✩④ ❞ ❖ ❢ ❭❫❥●❯▲❛➊❙➊◆❨❯❲❖ ❞ ❩ ❞ ❛♣❥✿➦✳❩✶❖◗◆✳④ ❘❚❖❱❴✸❪✉➓ ❖ ❞ ❛❜❩ ❞ ❤●❪●❯▲❛ ❢▲❞ ❪✶❖❵⑩❄❝ ❞ ❳✤❦ ❞ ❛ ❞ ❏ ✖ ❢▲❢❲❞ ❤✈❖ ❞ ❳●❩ ❞ ❳✍④⑤◆❨P✏❤●❙ ❞ ❩ ❞ ❳✶◆❨P♣❴●❖ ❞ ❪✉➝ ❤●❥t❝ ❞ ❳✈◆❨P❵❦ ❞ ❳ ❞ ❛❻❤●❥✿➦✉❛❱❯▲⑨✳❪ ❞ ❛ ❞ ❙ ⑩❄❝ ❞ ◆ ❢ ◆✩⑩❨❯▲⑨✳❪ ❞ ❛❻④⑤◆❨P♠P ❞ ❢ ❭→❝ ❞ ❖❱◆❨❛◗❯❲◆❨❳✖✕ ❢ ❘➜④⑤◆❨P✏❤●❘✩④⑤❙❱❯▲◆❨❳✖✕ ❢ ❘ ✠✷◆✩❖◗P♠❘❚❙❱❯❲◆❨❳↔❩ ❞ ❛ ✠✷❘✩❯ ❢▲❢❲❞ ❛✗✕ ❢❲❞ ♥ ❞ ❪↔❙ ❞ ④⑤❙➊◆❨❳✈❯❺⑨✿❪ ❞ ❩ ❞ ❛✺❤ ❢ ❘✩⑨✳❪ ❞ ❛✗✕ ❢❲❞ ❛✺❖✉❝ ❞ ❘✩④⑤❙❱❯❲◆❨❳●❛❜④◗❥✈❯▲P❁❯▲⑨✿❪ ❞ ❛✗✕ ☎✴✍➍✘ ✶ s ❞ ❙➊❙ ❞ P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳ ❞ ❛➊❙✺❤✈❖◗❯▲P♠◆✩❖◗❩✈❯▲❘ ❢❲❞❜❞ ❳ ❞ ❳✶⑩❨❯❲➓ ❳ ❞ ❞ ❖◗❯▲❳✈⑩❻❤t❝ ❞ ❙➊❖❱◆ ❢ ❯ ❞ ❖❊④ ❘❚❖ ❞✗❢▲❢▲❞ ❤ ❞ ❖➏P ❞ ❙ ❞ ❳➥❤✸❘❚❖❱❙❱❯▲④ ❪ ❢ ❯ ❞ ❖✮❪✈❳ ❞ ❛✳❝ ❞✗❢❲❞ ④⑤❙❱❯❲◆❨❳ ❞ ✂➀④ ❘✩④ ❞ ❩ ❞ ❛♣❛◗❯❲❙ ❞ ❛✮❩ ❞ ✠✷◆✩❖◗❘❚⑩ ❞ ❏ ✩❊❭❫❘✩❪✶❙➊❖ ❞ ❛✮❩✶◆❨P❁❘✩❯▲❳ ❞ ❛q❛➊◆❨❳✿❙✮❘✩❪✈❛❱❛❱❯✦④⑤◆❨❪✶➙ ❞ ❖◗❙❱❛q❤●❘❚❖q④ ❞ ❙➊❙ ❞ P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯▲◆❨❳ ④⑤◆❨P♠P ❞✏❢ ❭➒❝ ❞ ❙❱❪✈❩ ❞ ❩ ❞ ❛q❳●❘❚❤✈❤ ❞ ❛ ❤●❥✶❖✉❝ ❞ ❘❚❙❱❯▲⑨✳❪ ❞ ❛✗✕✝❩ ❞ ❛❊❖◗❯▲❛❱⑨✳❪ ❞ ❛♣❩ ❞ ❤➛◆ ❢▲❢ ❪✈❙❱❯❲◆❨❳➥❩✈❘✩❳✈❛ ❢❲❞ ❛➊◆ ❢ ❤●❘❚❖✏❪✈❳➟◆❨❪➟❤ ❢ ❪✈❛❱❯ ❞ ❪✈❖◗❛✮④⑤◆❨❳✿❙❱❘✩P♠❯▲❳✈❘✩❳✿❙❱❛✗✕❣❩ ❞ ❛ ❖ ❞ ④◗❥ ❞ ❖◗④◗❥ ❞ ❛❧P♠❯▲❳●❯❇❦ ❞ ❖ ❞ ❛ ❏❲❏❲❏ ② ❞ ❴●❪✶❙➅❩ ❞ ④ ❞ ❙➊❙ ❞ ❙❱❥➛❦ ❞ ❛ ❞➣❞ ❛➊❙ ❢ ❭➒❝ ❞ ❙❱❪✈❩ ❞ ❩ ❞ ❛◗④◗❥t❝ ❞ P♠❘✩❛➥❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ❛ ❞ ❳➃❙ ❞ P✏❤●❛➅❤➛◆❨❪✶❖ ❢ ❘✾❤✈❖➏❯▲❛ ❞✻❞ ❳ ④⑤◆❨P✏❤✈❙ ❞ ❩ ❞ ❛✺❤●❥t❝ ❞ ❳✶◆❨P❜❦ ❞ ❳ ❞ ❛ ❢ ❯ ❝ ❞ ❛➥❦❘➟❪●❳ ❴●❘✩❛◗❛❱❯▲❳↔❛✿❝ ❞ ❩✈❯▲P ❞ ❳✿❙❱❘✩❯❲❖ ❞➅❞ ❙❵❙➊◆❨❪✶❙❵❤●❘❚❖❱❙❱❯▲④ ❪ ❢ ❯❇❦ ❞ ❖ ❞ P ❞ ❳✿❙ ❢ ❭→❝ ❞ ❙❱❪✈❩ ❞ ❩ ❞ ❛✏❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳✿❙❱❛t❩ ❞ ❛✰❶✸❪✈❯❺❩ ❞ ❛✰❩✈❘✩❳✈❛✝④ ❞ ❴●❘✩❛❱❛◗❯▲❳✏❩ ❞ ❤●❪✈❯❺❛ ❢❲❞ ❪✶❖ ⑩❃❝ ❞ ❳✤❦ ❞ ❛ ❞ ❞ ❙❉♥➊❪✈❛◗⑨✿❪✤❭✫❦❘ ❢❲❞ ❪✶❖ ❤●❯ ❝ ❞ ⑩ ❞ ❘❚⑩ ❞ ❩✈❘✩❳✈❛ ❢❲❞ ❛❷❖❱◆✉④◗❥ ❞ ❛➍P♠❘❚⑩❨❘✩❛❱❯❺❳✈❛ ❏ ②★❘❧❩✈❯✂➀④ ❪ ❢ ❙✿❝ ❞ ❩✈❘✩❳✈❛ ❢ ❭→❝ ❞ ❙❱❪✈❩ ❞ ❩ ❞ ❛✮❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳✿❙❱❛✰❩ ❞ ❛★❶✸❪✈❯▲❩ ❞ ❛ ❞ ❛➊❙ ❢ ❘➠❤✈❖◗❯▲❛ ❞❣❞ ❳ ④⑤◆❨P✏❤●❙ ❞ ❩ ❞✝❢ ❘➍❙❱❥ ❞ ❖◗P✏◆✉❩✶➦✿➓ ❳✈❘✩P♠❯▲⑨✳❪ ❞ ⑨✳❪✈❯✤❖✉❝ ❞ ⑩❨❯▲❙ ❢❲❞ ❛❜❝ ❞ ④◗❥✈❘✩❳✶⑩ ❞ ❛ ❩ ❞ ④⑤◆❨❳✈❛➊❙❱❯❲❙❱❪✈❘✩❳✿❙❱❛ ❞ ❳➉❙➊❖ ❞❊❢❲❞ ❛❼❤✸❥✈❘✩❛ ❞ ❛ ❏❼s ❞ ❙➊❙ ❞ ❙❱❥ ❞ ❖◗P✏◆✉❩✶➦✉❳✈❘✩P♠❯▲⑨✳❪ ❞ ❞ ❛➊❙q❙➊❖✗❦ ❞ ❛✮④⑤◆✙✘❪✶❙ ❞ ❪●❛ ❞✼❞ ❳➤❙ ❞ P✏❤●❛q❩ ❞ ④ ❘ ❢ ④ ❪ ❢ ❩✈❪ ✠❇❘✩❯❲❙q❩ ❞❊❢ ❘✺④⑤◆❨P♠❤ ❢❲❞ ➝✶❯❲❙✿❝ ❞ ❩ ❞ ❛ ❤●❥✝❝ ❞ ❳✶◆❨P❜❦ ❞ ❳ ❞ ❛✮❛◗❯▲P ❪ ❢ ❝ ❞ ❛ ❞ ❙ ❤t❝ ❞ ❳✈❘ ❢ ❯▲❛ ❞ ❩✶◆❨❳●④ ❢❲❞ ❖ ❞ ❛➊❙ ❞ ❩ ❞✐❢ ❘➠❛❱❯▲P❊❪ ❢ ❘❚❙❱❯❲◆❨❳✤❏✝☛ ❳❊④◗❥ ❞ ❖◗④➏❥ ❞ ❩✶◆❨❳✈④t❘❻❝ ❞ ❙❱❘❚❴ ❢ ❯❲❖✰❪✈❳❊❛❱④◗❥t❝ ❞ P♠❘q❳✳❪✈P➜❝ ❞ ❖◗❯❺⑨✿❪ ❞ ⑨✿❪●❯ ❛➊◆❨❯❲❙❼❛➊❙❱❘❚❴ ❢❲❞ ✕✉❖❱◆✩❴●❪✈❛➊❙ ❞ ✕✉❤ ❞ ❪❜④✚✘◆❨❪✶❙ ❞ ❪✉➝ ❞ ❳❵❙ ❞ P✏❤●❛❼④ ❘ ❢ ④ ❪ ❢ ❏✰➎❃◆❨❪✶❖❼④ ❞ ✠✷❘✩❯▲❖ ❞ ✕✉◆❨❳ ❞ ❛❱❛❱❘✛➦ ❞ ❖◗❘♠❩ ❞q❢ ❯▲P❁❯❲❙ ❞ ❖t❘✩❪ P♠❘✢➝✶❯▲P ❪●P ❢▲❞ ❛❄❘❚❤✈❤ ❞✗❢ ❛❷❦❘ ④ ❞ P✏◆✳❩●❪ ❢❲❞ ❙❱❥ ❞ ❖◗P✏◆✉❩✶➦✳❳●❘✩P♠❯▲⑨✳❪ ❞ ❏ ✎✑★✸❳ ❩ ❞ ❤➛◆❨❪✶➙✩◆❨❯▲❖❃❛❱❘❚❙❱❯❺❛ ✠✷❘✩❯▲❖ ❞ ❦❘❧❙➊◆❨❪✶❙ ❞ ❛✰④ ❞ ❛ ④⑤◆❨❳➉❙➊❖➏❘✩❯▲❳➉❙ ❞ ❛✛✕❨◆❨❳❊❖ ❞ ✠✫◆✩❖➏P ❪ ❢▲❞✝❢❲❞ ❛➊➦✉❛➊❙⑤❦ ❞ P ❞ ❩✤❭➒❝ ❞ ⑨✿❪✈❘❚❙❱❯▲◆❨❳✈❛✦⑨✿❪✈❯✿❤ ❞ ❖◗P ❞ ❙❃❩ ❞ ❛◗❯▲P ❪ ❢❲❞ ❖❄④ ❞ ❛ ❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳➉❙❱❛✦❤●❘❚❖ ❖◗❘❚❤✈❤➛◆✩❖❱❙✏❦❘➀④ ❞✗❢ ❪●❯★⑨✳❪✈❯ ❞ ❛➊❙q❪✈❛◗❪ ❞✗❢▲❢❲❞ P ❞ ❳✿❙➍❪✶❙❱❯ ❢ ❯▲❛✳❝ ❞ ❤➛◆❨❪✶❖ ❢ ❘❁❛❱❯❺P ❪ ❢ ❘❚❙❱❯❲◆❨❳❬❩ ❞ ❛❬❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳➉❙❱❛q❩ ❞ ❛➍❶✸❪✈❯❺❩ ❞ ❛ ❩✈❘✩❳✈❛ ❢▲❞ ❛❷❖✳❝ ❞ ❛ ❞ ❖❱➙✩◆❨❯❲❖➏❛ ❏ ✎➍➦❨❘✩❳✿❙❷❤✈❖✉❝ ❞ ❛ ❞ ❳✿❙✿❝ ❞✮❢❲❞ ❛✝◆✩❴✉♥ ❞ ④⑤❙❱❯ ✠✷❛✐❩ ❞❧❢ ❘♣❙❱❥✤❦ ❞ ❛ ❞ ✕✶◆❨❳➀❤●❖✳❝ ❞ ❛ ❞ ❳➉❙ ❞ P♠❘✩❯❺❳➉❙ ❞ ❳✈❘✩❳✿❙ ❢❲❞ ❤ ❢ ❘✩❳➀❩t❝ ❞ ❙❱❘✩❯ ❢❺❢ ❝ ❞ ❩ ❞ ④◗❥●❘✩⑨✿❪ ❞ ④◗❥✈❘❚❤✸❯❲❙➊❖ ❞ ❩ ❞✮❢ ❘✼❙❱❥➛❦ ❞ ❛ ❞ ❏ ✩ ❘✩❳✈❛ ❢❲❞ ❤✈❖ ❞ P♠❯ ❞ ❖★④➏❥✈❘❚❤●❯❲❙➊❖ ❞ ✕❚◆❨❳ ❤✈❖✉❝ ❞ ❛ ❞ ❳✿❙ ❞ ❙➊◆❨❪✶❙❃❩❉❭❫❘❚❴✙◆✩❖➏❩♣❪✈❳♣❴●❘✩❛❱❛❱❯▲❳ ❛✿❝ ❞ ❩✈❯▲P ❞ ❳✿❙❱❘✩❯❲❖ ❞✝❞ ❳ ❞ ➝✉❤➛◆❨❛❱❘✩❳✿❙❃❛❱❪●④ ➓ ④ ❯▲❳✈④⑤❙ ❞ P ❞ ❳✿❙ ❢❲❞ ❛✝❤✈❖◗❯▲❳✈④ ❯▲❤●❘✩❪✉➝ ❤✸❥✝❝ ❞ ❳✶◆❨P❵❦ ❞ ❳ ❞ ❛ ❞ ❙✐P➟❝ ❞ ④ ❘✩❳✈❯▲❛❱P ❞ ❛❷⑨✳❪ ❞❧❢ ❭⑦◆❨❳❁➙❚❘❊P✏◆✳❩t❝ ❞✗❢ ❯▲❛ ❞ ❖ ❞ ❙➀❝ ❞ ❙❱❪✈❩✈❯ ❞ ❖✝❤●❘❚❖ ❢ ❘➍❛◗❪✈❯❲❙ ❞ ❏✟✩ ❘✩❳✈❛ ❢ ❘➠❩ ❞ ❪✉➝✶❯❇❦ ❞ P ❞ ❤●❘❚❖◗❙❱❯ ❞ ❩ ❞ ④ ❞ ④➏❥✈❘❚❤●❯❲❙➊❖ ❞ ✕❚◆❨❳ ❤✈❖✉❝ ❞ ❛ ❞ ❳✿❙ ❞t❢ ❘➍P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯▲◆❨❳♣P♠❘❚❙❱❥t❝ ❞ P♠❘❚❙❱❯❺⑨✿❪ ❞ ❩ ❞ ❛✏❤●❥t❝ ❞ ❳✈◆❨P❵❦ ❞ ❳ ❞ ❛➀❩ ❞ ④⑤◆❨P✏❤●❘✩④⑤❙❱❯❲◆❨❳❆❩✤❭❫❪✈❳➣❴●❘✩❛❱❛◗❯▲❳✖✕❣❩✈❪ ④⑤❖➏❘✩⑨✿❪✈❘❚⑩ ❞ ❤✈❖◗❯▲P♠❘✩❯▲❖ ❞➀❞ ❙➀❩✈❪ ④⑤❖◗❘✩⑨✳❪✈❘❚⑩ ❞ ❛ ❞ ④ ➓ ◆❨❳✈❩✈❘✩❯❲❖ ❞ ✜✷❤✸❥✝❝ ❞ ❳✶◆❨P❵❦ ❞ ❳ ❞ ❩ ❞ ⑩❃❝ ❞ ❳t❝ ❞ ❖◗❘❚❙❱❯❲◆❨❳ ❩ ❞ ❛ ❥✿➦✳❩✶❖◗◆✳④ ❘❚❖❱❴✸❪✶❖ ❞ ❛ ✤ ❞ ❙ ❞ ❳ ★✸❳ ❪✈❳ P✏◆✉❩➛❦ ❞✗❢❲❞ ❩ ❞ P♠❯❲⑩✩❖➏❘✢➓
❙❱❯❲◆❨❳➜❩ ❞ ④ ❞ ❛✼❥✿➦✳❩✶❖◗◆✳④ ❘❚❖❱❴✸❪✶❖ ❞ ❛✮❩✈❘✩❳●❛ ❢❲❞ ❴●❘✩❛❱❛❱❯▲❳❉❏❻s ❞ P✏◆✉❩➛❦ ❞✗❢❲❞ ❩✤❭➒❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳✿❙ ❞ ❛❱❙❊❩✈❯▲❖ ❞ ④⑤❙ ❞ P ❞ ❳✿❙ ❯▲❛❱❛◗❪ ❩ ❞➤❢ ❘✻P✏◆✉❩t❝ ❞✗❢ ❯▲❛◗❘❚❙❱❯❲◆❨❳ ❩ ❞ ❛ ❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳➉❙❱❛❜❩✈❘✩❳●❛❁❪✈❳❆❖✳❝ ❞ ❛ ❞ ❖❱➙✩◆❨❯❲❖❵❤✐❝ ❞ ❙➊❖❱◆ ❢ ❯ ❞ ❖✗❏ ②❄❘➟❩✈❯✓✒➍❝ ❞ ❖ ❞ ❳✈④ ❞➅❞ ❳✿❙➊❖ ❞➅❢ ❘ P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳➟❩✤❭❫❪✈❳➤❖✉❝ ❞ ❛ ❞ ❖◗➙✩◆❨❯❲❖ ❞ ❙❊④ ❞✗❢▲❢❲❞ ❩❉❭❫❪✈❳➤❴●❘✩❛❱❛❱❯❺❳ ❞ ❛➊❙ ❢ ❘ ❢ ◆❨❯ ❩ ❞ ❤➛◆✩❖❱◆❨❛◗❯❲❙✿❝ ❞ ✕ ❢ ❭→❝ ❞ ④➏❥ ❞✗❢▲❢❲❞ ❩ ❞ ❙ ❞ P✏❤●❛ ✜❇⑨✿❪●❯ ❞ ❛❱❙❵❩ ❞ ❤ ❢ ❪✈❛❱❯ ❞ ❪✶❖➏❛♠P♠❯ ❢▲❢ ❯❲◆❨❳✈❛♠❩✤❭❫❘✩❳●❳✝❝ ❞ ❞ ❛ ✤ ❞ ❙❜❩✤❭ ❞ ❛➊❤●❘✩④ ❞ ✜❇❩ ❞ ❛❵④ ❞ ❳✿❙❱❘✩❯▲❳ ❞ ❛❜❩ ❞✕✔ ❯ ❢ ◆❨P❵❦ ❞ ❙➊❖ ❞ ❛ ✤➏❏➋s ❞ P✏◆✉❩➛❦ ❞✗❢❲❞✮❞ ❛➊❙ ❢▲❞ ❤✙◆❨❯❺❳➉❙❷❩ ❞ ❩t❝ ❞ ❤✸❘❚❖❱❙➍❩ ❞ ❛❼P♠◆✳❩✤❦ ❞✗❢❲❞ ❛❵❝ ❞ ❙❱❪✈❩✈❯ ❝ ❞ ❛❼❤✸❘❚❖ ❢ ❘✏❛❱❪✈❯▲❙ ❞ ❏ ② ❞ ❩ ❞ ❪✶➝✉❯ ❦ ❞ P ❞ ④➏❥✈❘❚❤●❯❲❙➊❖ ❞ ❤✈❖✉❝ ❞ ❛ ❞ ❳➉❙ ❞❬❢▲❞ ❛✼❙➊❖❱◆❨❯▲❛✏P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯▲◆❨❳✈❛❊❖ ❞ ❙ ❞ ❳✿❪ ❞ ❛✼❤✙◆❨❪✈❖ ❢ ❭➒❝ ❞ ❙❱❪●❩ ❞ ❩ ❞ ❛➜❝ ❞ ④⑤◆❨❪ ❢❲❞ ➓ P ❞ ❳✿❙❱❛ ❏ ②★❘q❤●❖ ❞ P♠❯❦ ❞ ❖ ❞ P♠◆✳❩t❝ ❞✗❢ ❯❺❛❱❘❚❙❱❯❲◆❨❳ ❞ ❛➊❙✝❪✈❳ ❞ ✠✷◆✩❖◗P ❪ ❢ ❘❚❙❱❯❲◆❨❳ ❞ ❳➀P♠❘✩❛❱❛ ❞ ❛➈➓↕❛◗❘❚❙❱❪✶❖◗❘❚❙❱❯❲◆❨❳✈❛✗❏ s ❞ ❙➊❙ ❞ ✠✷◆✩❖◗P ❪✶➓ ❢ ❘❚❙❱❯❲◆❨❳✏❤ ❞ ❖◗P ❞ ❙ ❩ ❞ ❖✳❝ ❞ ❩✈❪✈❯❲❖ ❞✐❢▲❞ ❳✶◆❨P♣❴●❖ ❞ ❩✤❭❫❯▲❳✈④⑤◆❨❳●❳✿❪ ❞ ❛✦❤✸❘❚❖ ❖◗❘❚❤✈❤➛◆✩❖❱❙➍❦❘ ❢ ❘ P✏◆✉❩t❝ ❞✗❢ ❯▲❛◗❘❚❙❱❯❲◆❨❳♠❪✶❙❱❯ ❢ ❯▲❛✿❝ ❞ ❞ ❤✙◆❨❪✈❖ ❩✝❝ ❞ ④⑤❖◗❯❲❖ ❞❊❢❲❞ ❛❜❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳✿❙❱❛❧❩●❘✩❳✈❛ ❢❲❞ ❛➍❖✳❝ ❞ ❛ ❞ ❖❱➙✩◆❨❯❲❖➏❛➍⑩✩❖ ❘✩④✘ ❞ ❦❘ ❢ ❭❫❯▲❳✿❙➊❖❱◆✳❩●❪✈④⑤❙❱❯❲◆❨❳❜❩✤❭❫❪✈❳ ❞ ❳✶◆❨❪✶➙ ❞✗❢▲❢▲❞ ⑩✩❖◗❘✩❳✈❩ ❞ ❪✈❖ ❙❱❥ ❞ ❖◗P✏◆✉❩✶➦✉❳✈❘✩P♠❯▲⑨✳❪ ❞ ❘❚❤✈❤ ❞✗❢ ❝ ❞ ❞ ④ ✞ ✂➀④ ❯ ❞ ❳✿❙❊❩ ❞ ❖✉❝ ❞ ❤●❘❚❖❱❙❱❯▲❙❱❯❲◆❨❳✤❏➟s ❞ ❙➊❙ ❞ ⑩✩❖◗❘✩❳✈❩ ❞ ❪✶❖✼❙❱❥ ❞ ❖◗P✏◆✉❩✶➦✉❳✈❘✩P♠❯▲⑨✳❪ ❞ ✕ ⑨✿❪ ❞❵❢ ❭⑦◆❨❳➟❳✶◆✩❙ ❞✍✖ ✕ ❞ ➝✳❤✈❖➏❯▲P ❞➀❢ ❘❬❖✉❝ ❞ ❤●❘❚❖◗❙❱❯❲❙❱❯❲◆❨❳ ✜✷◆❨❪ ❩ ❞ ✠✷❘✘✗④⑤◆❨❳➣❤ ❢ ❪✈❛ ❛◗❯▲P✏❤ ❢❲❞ ✕ ❢❲❞ ❤➛◆❨❪✶❖◗④ ❞ ❳✿❙❱❘❚⑩ ❞ ✤❊❩ ❞✺❢ ❘ P♠❘✩❛❱❛ ❞ ❩✈❪➀④⑤◆❨❳✈❛➊❙❱❯❲❙❱❪✈❘✩❳✿❙✝❘✩❪✺❛ ❞ ❯▲❳➀❩ ❞ ❙➊◆❨❪✈❙ ❞ ❛ ❢▲❞ ❛❣❤●❥●❘✩❛ ❞ ❛❣❤●❖✳❝ ❞ ❛ ❞ ❳➉❙ ❞ ❛✗❏✝s ❞ ❙➊❙ ❞ ❳✶◆✩❙❱❯❲◆❨❳ ❞ ❛❱❙t❩✈❯✓✒➍❝ ❞ ❖ ❞ ❳✿❙ ❞ ❩ ❞ ④ ❞✗❢▲❢❲❞ ❩ ❞ ❛ ✠✷❖◗❘✩④⑤❙❱❯❲◆❨❳✈❛✦P♠❘✩❛❱❛◗❯▲⑨✿❪ ❞ ❛❃⑨✳❪✈❯ ❞ ➝✳❤●❖◗❯▲P ❞t❢ ❘❧❖✳❝ ❞ ❤●❘❚❖❱❙❱❯❲❙❱❯❲◆❨❳ ✜✷◆❨❪✼❤➛◆❨❪✶❖◗④ ❞ ❳✿❙❱❘❚⑩ ❞ ✤❃❩ ❞ ❙➊◆❨❪✈❛ ❢❲❞ ❛✦④⑤◆❨❳✈❛➊❙❱❯❲➓ ❙❱❪✈❘✩❳✿❙❱❛✰❤✈❖✉❝ ❞ ❛ ❞ ❳✿❙❱❛ ❩✈❘✩❳✈❛✰❪●❳ ❞ ❤✸❥✈❘✩❛ ❞ ❘✩❪✏❛ ❞ ❯▲❳✼❩ ❞ ④ ❞ ❙➊❙ ❞ ❤✸❥✈❘✩❛ ❞ ❏❃➇ ❢✳❞ ➝✶❯▲❛➊❙ ❞ ❙➊◆❨❪✶❙ ❞ ✠✷◆❨❯▲❛✰❪✈❳ ❞ ❖ ❞✗❢ ❘❚❙❱❯❲◆❨❳ ❞ ❳➉❙➊❖ ❞ ④ ❞ ❛✏❩ ❞ ❪✉➝✻⑨✳❪✈❘✩❳✿❙❱❯❲❙✿❝ ❞ ❛ ❏ ✧➠❳ ❞ ✠✷◆❨❯▲❛ ❞ ➝✉❤➛◆❨❛✿❝ ❞ ❞❜❢ ❘❬P✏◆✉❩t❝ ❞✗❢ ❯▲❛◗❘❚❙❱❯❲◆❨❳➟❩●❪➟P✏◆✉❩✤❦ ❞✗❢❲❞✺❞ ❳➟P❁❘✩❛❱❛ ❞ ❛➈➓↕❛❱❘❚❙❱❪✈❖◗❘❚❙❱❯❲◆❨❳✈❛✗✕ ◆❨❳ ❢❲❞ ④⑤◆❨P✏❤●❘❚❖ ❞ ❘✗➙ ❞ ④ ❢▲❞ P✏◆✳❩✤❦ ❞✗❢▲❞ ④⑤◆❨P✏❤➛◆❨❛❱❯❲❙❱❯❲◆❨❳✈❳ ❞✗❢ ❪✈❛◗❪ ❞✗❢ ❩ ❞ P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯❲◆❨❳❜❩ ❞ ❛➀❝ ❞ ④⑤◆❨❪ ❢❲❞ P ❞ ❳✿❙❱❛❼❩✈❘✩❳✈❛ ❢❲❞ ❛❷❖✉❝ ❞ ❛ ❞ ❖◗➙✩◆❨❯❲❖◗❛ ❏ ➇ ❢ ❖ ❞ ❛◗❛➊◆✩❖❱❙❼❩ ❞ ④ ❞ ❙➊❙ ❞ ④⑤◆❨P✏❤●❘❚❖◗❘✩❯❺❛➊◆❨❳✖✕✶◆❨❪✶❙➊❖ ❞✮❢▲❞ ✠✷❘✩❯❲❙❼❩❉❭❫❪✈❳❜❳✶◆❨P ❴✈❖ ❞ P✏◆❨❯▲❳●❛❼❯▲P✏❤➛◆✩❖❱❙❱❘✩❳✿❙ ❩✤❭❫❯▲❳✈④⑤◆❨❳●❳✿❪ ❞ ❛➍④⑤◆❨P♠P ❞ ◆❨❳ ❢ ❭❫❘♠❩t❝ ❞ ♥✵❦❘❁❛❱❯❲⑩❨❳●❘ ❢ ❝ ❞ ✕●❪✈❳ ❞ ❤ ❢ ❪✈❛✐⑩✩❖◗❘✩❳✈❩ ❞ ✠✷❘✩④ ❯ ❢ ❯❲❙✿❝ ❞ ❩ ❞♣❢ ❘✼❤●❖◗❯▲❛ ❞q❞ ❳❻④⑤◆❨P♠❤✈❙ ❞ ❩ ❞ ❛ ④◗❥✈❘✩❳✈⑩ ❞ P ❞ ❳➉❙❱❛q❩ ❞ ❤●❥✈❘✩❛ ❞ ❘✩❪❹❛ ❞ ❯▲❳❬❩✈❪❻❴●❘✩❛❱❛❱❯▲❳❉❏ ✖✝❳ ❞ ✒ ❞ ❙✗✕ ❢ ❘♠P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯▲◆❨❳ ❞ ❳➅P♠❘✩❛❱❛ ❞ ❛➈➓↕❛◗❘❚❙❱❪✶❖◗❘❚❙❱❯❲◆❨❳✈❛ ❳ ❞ ④➏❥✈❘✩❳✶⑩ ❞ ❤●❘✩❛❣❩ ❞ ❙↕➦✳❤ ❞ ❩✤❭❫❯▲❳●④⑤◆❨❳✈❳✿❪ ❞ ❛ ❞✗❢ ◆❨❳ ❢▲❞ ❛✏❝ ❞ ❙❱❘❚❙❱❛✐❩ ❞ ❤✸❥✈❘✩❛ ❞ ❩ ❞ ❛ ✌ ◆❨❳ ❞ ❛✐❩✈❪♠❩✶◆❨P❁❘✩❯▲❳ ❞ ④⑤◆❨❳✿❙➊❖◗❘✩❯❲❖ ❞ ➓ P ❞ ❳✿❙❣❘✩❪♠P✏◆✉❩➛❦ ❞✗❢❲❞ ④⑤◆❨P✏❤➛◆❨❛❱❯▲❙❱❯❲◆❨❳✈❳ ❞✗❢ ❩t❝ ❞ ➙ ❞✗❢ ◆✩❤✈❤✐❝ ❞ ❩✈❘✩❳✈❛ ❢❲❞ P❁❯ ❢ ❯ ❞ ❪✼❩ ❞❼❢ ❘qP♠◆✳❩t❝ ❞✗❢ ❯❺❛❱❘❚❙❱❯❲◆❨❳✏❩ ❞ ❛✰❖✉❝ ❞ ❛ ❞ ❖❱➙✩◆❨❯❲❖◗❛ ❏ ☛ ❳❻❤●❖✳❝ ❞ ❛ ❞ ❳➉❙ ❞ ❞ ❳✈❛❱❪✈❯▲❙ ❞ ❪✈❳❻❩ ❞ ❪✉➝✶❯❦ ❞ P ❞ P♠◆✳❩✤❦ ❞✗❢❲❞♣❞ ❳❬P♠❘✩❛❱❛ ❞ ❩ ❞ P➜❝ ❞✗❢ ❘✩❳✈⑩ ❞ ⑨✳❪✈❯➛❤ ❞ ❖◗P ❞ ❙➍❩ ❞ ❖✉❝ ❞ ❩●❪✈❯❲❖ ❞✮❞ ❳✶➓ ④⑤◆✩❖ ❞✼❢❲❞ ❳✶◆❨P ❴✈❖ ❞ ❩✤❭❫❯❺❳✈④⑤◆❨❳✈❳✳❪ ❞ ❛❷❤●❘❚❖➠❖◗❘❚❤✈❤➛◆✩❖❱❙❼❘✩❪❬P♠◆✳❩✤❦ ❞✗❢❲❞♣❞ ❳❬P♠❘✩❛❱❛ ❞ ❛➈➓↕❛❱❘❚❙❱❪✶❖◗❘❚❙❱❯▲◆❨❳✈❛ ❏ ☛ ❳❻❘❁❤●❪✖✕✈❩✈❘✩❳✈❛ ④ ❞ ❙➊❙ ❞ ✠✫◆✩❖➏P ❪ ❢ ❘❚❙❱❯❲◆❨❳✖✕❉❝ ❞✗❢ ❯▲P♠❯▲❳ ❞ ❖ ❢❲❞ ❛❃❛❱❘❚❙❱❪✶❖◗❘❚❙❱❯❲◆❨❳●❛❄❩ ❞t❢ ❘➍P♠◆✳❩t❝ ❞✗❢ ❯❺❛❱❘❚❙❱❯❲◆❨❳❊④⑤◆❨P♠P ❞ ❯▲❳✈④⑤◆❨❳✈❳✳❪ ❞ ❛❄❤✈❖◗❯▲❳✈④ ❯▲❤●❘ ❢❲❞ ❛ ❏ s ❞ ❤ ❞ ❳✈❩✈❘✩❳✿❙✗✕ ❢▲❞ ❛➠❛❱❘❚❙❱❪✈❖◗❘❚❙❱❯❲◆❨❳✈❛➠❖ ❞ ❛➊❙ ❞ ❳✿❙ ❤✈❖✳❝ ❞ ❛ ❞ ❳✿❙ ❞ ❛❧❩●❘✩❳✈❛ ❢ ❘❁P✏◆✉❩✝❝ ❞✗❢ ❯▲❛❱❘❚❙❱❯▲◆❨❳❬❤●❘❚❖ ❢ ❭❫❯▲❳✿❙ ❞ ❖◗P➜❝ ❞ ❩✈❯❺❘✩❯❲❖ ❞ ❩ ❞ ❛ ❤ ❞ ❖◗P➟❝ ❞ ❘❚❴●❯ ❢ ❯▲❙✿❝ ❞ ❛ ❖ ❞✗❢ ❘❚❙❱❯❲➙ ❞ ❛ ❏✰② ❞ ❩ ❞ ❖◗❳✈❯ ❞ ❖✰P✏◆✉❩➛❦ ❞✗❢❲❞ ✕✿❘❚❤●❤ ❞✗❢ ❝ ❞ P♠◆✳❩✤❦ ❞✗❢❲❞❷❞ ❳✏P❁❘✩❛❱❛ ❞ ❛ ❩ ❞ ④⑤◆❨P♠❤✙◆❨❛✳❝ ❞ ❛✛✕➉⑩❨❘❚❖◗❩ ❞❼❢▲❞ P ✘ ❞ P ❞ ❳✶◆❨P ❴✈❖ ❞ ❩✤❭❫❯▲❳●④⑤◆❨❳✈❳✿❪ ❞ ❛❄⑨✳❪ ❞❷❢❲❞ P✏◆✳❩✤❦ ❞✗❢▲❞t❞ ❳✏P❁❘✩❛❱❛ ❞ ❩ ❞ P➟❝ ❞✗❢ ❘✩❳✶⑩ ❞ ✕➉P❁❘✩❯▲❛❃❤ ❞ ❖➏P ❞ ❙✰❩ ❞ ❛✗❭❫❘✙✒✙❖◗❘✩❳●④◗❥✈❯❲❖ ❩ ❞✮❢ ❘ ❢ ◆❨❯✤❩ ❞ ❩ ❞ ❳●❛❱❯❲❙✿❝ ❞ ❩ ❞ P➜❝ ❞✗❢ ❘✩❳✶⑩ ❞q❞ ❳↔❝ ❞ ④⑤❖➏❯❲➙✢❘✩❳✿❙➍❩ ❞ P♠❘✩❳●❯❇❦ ❞ ❖ ❞ ❩✈❯✚✒➍❝ ❞ ❖ ❞ ❳➉❙ ❞ ❢ ❘ ❢ ◆❨❯✤❩ ❞ ④⑤◆❨❳✈❛ ❞ ❖❱➙❚❘❚❙❱❯❲◆❨❳❻❩●❪ ➙✩◆ ❢ ❪✈P ❞ ❤➛◆✩❖ ❞ ❪✉➝➛❏✝✖❣❳ ★✸❳✙✕❨❤➛◆❨❪✶❖❣❙ ❞ ❖◗P❁❯▲❳ ❞ ❖✐④ ❞ ④➏❥✈❘❚❤●❯❲❙➊❖ ❞ ✕✳◆❨❳✺❤✈❖✉❝ ❞ ❛ ❞ ❳✿❙ ❞q❢❲❞ ❛✝❥✿➦✳❤✙◆✩❙❱❥✤❦ ❞ ❛ ❞ ❛t❛◗❯▲P✏❤ ❢ ❯★✸④ ❘❚❙➊❖◗❯➓ ④ ❞ ❛❣❘❚❤✈❤ ❢ ❯▲⑨✳❪✝❝ ❞ ❞ ❛❷❦❘ ❙➊◆❨❪●❛ ④ ❞ ❛ P✏◆✉❩➛❦ ❞✗❢❲❞ ❛ ❡❃❢ ❘q❳✝❝ ❞ ⑩ ❢ ❯❲⑩ ❞ ❳✈④ ❞ ❩ ❞✐❢ ❘➠❤●❖ ❞ ❛❱❛❱❯❲◆❨❳✼④ ❘❚❤●❯ ❢▲❢ ❘✩❯❲❖ ❞ ✕❚❤●❘✩❛✰❩ ❞ ❩✈❯▲❛❱❛➊◆ ❢ ❪✶❙❱❯❲◆❨❳ ❩ ❞ ❛t④⑤◆❨❳✈❛➊❙❱❯❲❙❱❪✈❘✩❳✿❙❱❛t❥➉➦✉❩✶❖❱◆✉④ ❘❚❖❱❴●❪✶❖ ❞ ❛ ❩✈❘✩❳✈❛ ❢ ❘✮❤●❥●❘✩❛ ❞❼❞ ❘✩❪ ❞ ❙❣❤●❘✩❛t❩ ❞ ❩●❯▲❛❱❛➊◆ ❢ ❪✈❙❱❯❲◆❨❳✏❩✈❪❁④⑤◆❨❳●❛➊❙❱❯❲❙❱❪✈❘✩❳✿❙ ❞ ❘✩❪ ❩✈❘✩❳✈❛ ❢❲❞ ❛ ❤●❥●❘✩❛ ❞ ❛✝❥✿➦✉❩✶❖❱◆✉④ ❘❚❖❱❴●❪✶❖ ❞ ❛ ✜❇④ ❞ ④ ❯✸❳✤❭ ❞ ❛❱❙❣❤●❘✩❛✝❪✈❳ ❞ ❥✿➦✿❤➛◆✩❙❱❥✤❦ ❞ ❛ ❞ ❙➊❖✗❦ ❞ ❛t④⑤◆❨❳➉❙➊❖◗❘✩❯▲⑩❨❳✈❘✩❳➉❙ ❞ ❤●❪●❯▲❛❱⑨✳❪✤❭ ❞✗❢▲❢❲❞ ❞ ❛➊❙ ◆✩❴●❛ ❞ ❖❱➙ ❝ ❞ ❞ ❩ ❞ ✠✷❘✘✗④⑤◆❨❳ ❳✈❘❚❙❱❪✈❖ ❞✗❢▲❢❲❞ ✤ ✕✤❩ ❞ ❪✉➝❻❤✸❥✈❘✩❛ ❞ ❛ ❥➉➦✉❩✶❖❱◆✉④ ❘❚❖❱❴●❪✈❖ ❞ ❛ ❞ ❙q❩ ❞ ❪✶➝❬④⑤◆❨❳✈❛➊❙❱❯❲❙❱❪✈❘✩❳✿❙❱❛q❥✿➦✳❩✶❖◗◆❚➓ ④ ❘❚❖❱❴●❪✶❖ ❞ ❛➍⑨✳❪✈❯➛❤ ❞ ❪✶➙ ❞ ❳➉❙➠❛ ❞ ❖✉❝ ❞ ❤●❘❚❖❱❙❱❯▲❖➠❘✩❪❬❛ ❞ ❯▲❳❜❩ ❞ ❛❼❤✸❥✈❘✩❛ ❞ ❛ ✜❇④ ❞ ❙➊❙ ❞ ❥✿➦✿❤➛◆✩❙❱❥✤❦ ❞ ❛ ❞ ❙❱❯ ❞ ❳➉❙❼❤ ❢ ❪✈❛❷❩✈❪✟✠❇❘✩❯❲❙➍❩ ❞ ❳ ❞ ❤●❘✩❛✏❘✛➙✩◆❨❯❲❖❁❩ ❞ P✏◆✉❩✈❪ ❢❲❞ ❙❱❥ ❞ ❖◗P✏◆✉❩✶➦✉❳✈❘✩P♠❯▲⑨✳❪ ❞ ❤✈❖ ❞ ❳✈❘✩❳✿❙ ❞ ❳ ④⑤◆❨P✏❤✈❙ ❞ ❤ ❢ ❪✈❛❱❯ ❞ ❪✶❖➏❛♣④⑤◆❨❳✈❛➊❙❱❯▲❙❱❪✈❘✩❳➉❙❱❛ ❞ ❙ ❤ ❢ ❪✈❛◗❯ ❞ ❪✶❖◗❛❧❤●❥✈❘✩❛ ❞ ❛♣⑨✳❪ ❞ ❩ ❞ ❤✈❖◗◆✩❴ ❢ ❦ ❞ P ❞ ❛✮❙ ❞ ④➏❥✈❳✈❯▲⑨✳❪ ❞ ❛ ❩ ❞ P♠❯▲❛ ❞❁❞ ❳ ✞♣❪✶➙✳❖ ❞ ✤ ✕✦❪✈❳ ❞ ❙ ❞ P✏❤✐❝ ❞ ❖◗❘❚❙❱❪✈❖ ❞ ④⑤◆❨❳✉➓ ❛➊❙❱❘✩❳✿❙ ❞ ❘✩❪❊④⑤◆❨❪✈❖◗❛❄❩●❪♣❙ ❞ P✏❤✸❛✌✜❇❥✿➦✳❤✙◆✩❙❱❥✤❦ ❞ ❛ ❞ ❙➊❖ ❦ ❞ ❛ ✠✫◆✩❖❱❙ ❞ ❩✈❪ ✠✷❘✩❯▲❙❃❩✈❪ ❙ ❞ P✏❤●❛❃❖ ❞ ❙ ❞ ❳✳❪❊❤➛◆❨❪✶❖ ❢ ❘❧❛❱❯▲P❊❪ ❢ ❘❚❙❱❯▲◆❨❳ ✤ ✕ ❪✈❳ ❞ ④⑤◆❨P✏❤✸❘✩④⑤❙❱❯❲◆❨❳✻❛❱❯❺P✏❤ ❢ ❯★❷❝ ❞ ❞ ⑨✳❪✈❯ ❞ ❛➊❙❊❯▲❳✈④ ❢ ❪✈❛ ❞ ❩✈❘✩❳●❛ ❢ ❘ ❢ ◆❨❯ ❩ ❞ ❤✙◆✩❖◗◆❨❛❱❯❲❙✿❝ ❞♠❞ ❙ ❞ ❳ ★✙❳➥❪✈❳ ❞ ❛❱❯❺P ❪ ❢ ❘❚❙❱❯❲◆❨❳ ❛❱❪✶❖➍❪●❳❜❩✶◆❨P♠❘✩❯▲❳ ❞q❞ ❳❬❩ ❞ ❪✉➝❜❩✈❯▲P ❞ ❳✈❛◗❯❲◆❨❳✈❛ ❏ ② ❞ ❙➊❖❱◆❨❯▲❛◗❯❇❦ ❞ P ❞ ④➏❥✈❘❚❤●❯❲❙➊❖ ❞❹❞ ❛➊❙❜④⑤◆❨❳✈❛◗❘✩④⑤❖✳❝ ❞ ❞ ❳❆❤●❖ ❞ P♠❯ ❞ ❖ ❢ ❯ ❞ ❪❆❘✩❪✉➝ ❙ ❞ ④◗❥●❳✈❯▲⑨✳❪ ❞ ❛❵❩ ❞ ❩●❯▲❛❱④⑤❖✉❝ ❞ ❙❱❯▲❛❱❘❚❙❱❯▲◆❨❳ ❞ ❳
