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Submitted on 11 Feb 2003
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Analyse et modélisation de données probabilistes par
décomposition de mélange de copules et application à
une base de données climatologiques
Mathieu Vrac
To cite this version:
Mathieu Vrac. Analyse et modélisation de données probabilistes par décomposition de mélange de
copules et application à une base de données climatologiques. Interface homme-machine [cs.HC].
Université Paris Dauphine - Paris IX, 2002. Français. �tel-00002386�
✧✩★✫✪✭✬✯✮✱✰✙✲✴✳ ✵✷✶ ✮✌✰✹✸✻✺✽✼ ✵✿✾❁❀❂✵✢❃ ✮❅❄❆✳ ✵✌❇ ✸ ✾ ✸✝❈❊❉ ❋❍●❏■❑▼▲✴❑ ◆✔❈❖✼◗P❘❈❖❙❚✰ ✵ ❉◗✸❯P ❃✝✵✩❱ P❲✮ ❀❂✵❅❀❂✵ ❳❩❨✭❬ ❋ ❑❆❭❫❪ ❑❵❴ ▲✩❬❍❛❜❑❵❴❝❬❞❑▼▲ ❡❣❢✂❤ ✐❂❥❜❦♠❧◗♥♠❦♣♦ ❤ ✐ q ❧❂♦✌r ❤ ✐❂st❧❂♦✌❦♠✉☞✈☎✐❂✇✢① ❢☎❢ ♥♠❦♠✉☞✈ ❤ ✐②✐❂✇ ③ P❚✳ ✵✌✾④✵ ❉②✰❚✳ ✵⑤✵✩✵ ✰ ✾ ❈❊✼◗✰ ✵ ❉❂✼ ✵✢③ ✮✌P ⑥❏⑦⑨⑧✦⑩❘❶❸❷✫❹❻❺❫❪❽❼✭❬ ❃✝✵❿❾➀❀ ✳ ✵✌❇➁✵✷✶ ❙◗P ✵❘➂❖➃❖➃❊➂ ➄❁✸❯✰✹P ✵ ❼✭❴➅❼➇➆➉➈❩▲➊❑ ❑ ❋ ⑥ ❨➋❳ ❑❵➆❅❛◗▲✴❼➌ ❋ ❛◗❨➍❴ ❳❫❑ ❳❩❨➋❴➅❴ ❑❆❑✒▲➌ ➎▼❪❽❨➐➏❍❼❫➏❍❛❜➆❅❛◗▲ ❋ ❑✒▲➑➎❅❼➇❪ ❳ ❑▼❬➍❨❽⑥➌ ➎t❨➇▲➊❛ ❋ ❛◗❨➍❴ ❳❫❑ ⑥ ❑❆➆❅❼➇❴❝➒✭❑➌ ❳➓❑ ❬➋❨➍➎▼❭❫➆❅❑✒▲➑❑ ❋ ❼✭➎✒➎▼➆❅❛◗❬❞❼ ❋ ❛◗❨➍❴ ❼■ ❭➓❴➔❑ ➏❍❼➔▲➊❑ ❳❫❑ ❳❩❨➋❴➅❴ ❑❵❑✒▲❻❬❍➆❅❛❂⑥➌ ❼ ❋ ❨➋➆✗❨➇➒✭❛◗→➋❭❫❑✒▲ ❄➣✸❯P ✵✌❇ ✰ ✵ ✼◗P ✾❁❀❂✵ ✰✹✲❣↔ ✵✌✾④✵➉↕✦➙➉❀❂➛ ✸❯❉❵❄❘✸ ❀ ✮✷➜ ✵ ✰❘➝ ❃ ✮✱✸❯❉❵➞➉✲➊✳ ✵✌❀ ✸✝❉ ➟❜✧✩✪✔➠ ✬❏➡❆✳ ✵ P➢✮✱P ❀ ✬❫✳ ✵✷❱ ✸ ✵ ◆✫P❚✳ ✵✌✾ ✸ ❀❂✵ ❉②✰ ✬ ✶✗✵➥➤ ➜②❉◗❉ ✵✏➦ ✸ ❃❯❃ ✮✱P ❀ ✪❘✮ ③❚③ ❈❊P✹✰ ✵ ✼◗P ✬❏➡❆✳ ✵ P➢✮✱P ❀ ➡❘❈✱➧❊✮ ✵ P✹✰ ✪❘✮ ③❚③ ❈❊P✹✰ ✵ ✼◗P ✬ ➦❁✵ P✙✰✹✲◗❈ ❃✕❀❵➨②❇ ✲ ➛➩✵ ✸✝➫ ✵ P ✪❘✮ ③❚③ ❈❊P✹✰ ✵ ✼◗P ✬➭➝ ❃ ✮✱✸❯❉➯➞➉✲➊✳ ✵✌❀ ✸✝❉ ➞➉❈✌➲ ❀ ✸✝P ✵✿❇ ✰ ✵ ✼❚P ✬ ➙➉❀❂➛ ✸❯❉✯❄➣✸ ❀ ✮✷➜ ➞➉❈✌➲ ❀ ✸✝P ✵✿❇ ✰ ✵ ✼❚P ✬➭★✦✮✱❙❚P✹✸ ❇➳✵ ✪➵❈ ✾✹✾ ✸ ➸➺❉②➧❂✸❯✰❚✳ ✵ ✬❏➡❘✸ ❃ ❙ ✵ P✹✰ ➨ ✮ ③ ❈❖P✹✰➢✮ ➸➺❉②➧❂✸❯✰❚✳ ✵ ➄❁✲☞↔ ✵✌✾❸✵➥③ P◗✳ ✵✷③ ✮✌P❚✳ ✵✷✵ ✮✌✼ ✾❸✵ ✸✝❉ ❀ ✼▼➞ ✵ ❉②✰✹P ✵➻❀❂✵ ✪ ✵✌❇ ✲ ✵ P ❇ ✲ ✵✩❀❂✵ ✬✯✮✌✰✹✲➊✳ ✵✷✶ ✮✱✰✹✸✻✺✽✼ ✵✌✾❁❀❂✵✢❃ ✮❅❄❵✳ ✵✌❇ ✸ ✾ ✸✝❈❊❉ ➼ ✧➣❉❚✸✝➧ ✵ P ✾ ✸✝✰❚✳ ✵ ◆✟✮✱P✹✸ ✾ ➸➺➽➅❄➾✮✱✼ ③ ✲❚✸✝❉ ✵❖➚➩✵ ✰ ❀ ✼ ➤ ✮✌❙✡❈❊P❲✮✌✰✹❈❖✸❯P ✵➀❀❂✵ ✬➓✳ ✵ ✰❚✳ ✵ ❈❖P✙❈ ❃ ❈ ❱ ✸ ✵ ❄➣➜②❉✦✮ ✶ ✸✕✺❜✼ ✵ ➼ ➞➩➪➾✪ ❈ ◆☎❈ ➜②✰ ✲◗❉❚✸✕✺❜✼ ◆✫✮ ✮✱✸ ✮✌✼
✟✡✠☛✟✌☞ ✍ ✟ ✂ ✠☛✎✏✟✒✑✡☞✔✓✕✟✗✖ ✄✙✘✛✚ ✖✢✜✤✣✔✥✦✠✧✖✩★
✏✒✑✔✓✖✕✘✗✚✙✜✛✢✛✣✗✥✤✦✛✣✓✧✕✩★✪✓✧✕✢✫✠✓✒✛✣✬✭✛✣✓✧✕✩★✪✗✥✮✯✫✱✰✲✬✳★✴✬✳✛✠✵✓✶✕✸✷✹★✸✓✶✕✻✺✥✛✣✛✣✓✴✙✜✛✣✬✭✗✥✙✠✕✽✼✥✬✾✕✘★✴✿❁❀✓✴✛✣✓✧✕✪✷❂★✪✓✧✕❃★✸✓✴✙✜✛✣✺✥✬✭✙✜✓✶✕❄✼✥✓✖✕✘✗✚✤❅✿✪✬✳✿❆✓✶✕✻❇✴✤❅✬ ✗✥✙✜✛❉❈✘✺✥❊★✪✗✥✙❋✙✩✵✓✝✮✝✺❍●✴✬✳✓❏■▲❑▼✓✒✿❆★✴✬❖◆P✏ ◗✔❘✝❙✲❚✲❙✲❯✝❱✽❯✧❚❳❲✚❨❬❩✦❯ ❭✥❯❫❪❬❙✲❯✒❴✦❵✝❪❬❛❅❩✦❪✩❜❞❝❡❲✥❢✠❛❅❨P❜❤❣❲✐❨❆❯✒❘✝❯✒❨❆❥✧❙✲❯✒❨✖❚✲❯❧❦♠❨❆❛❏♥✣❯✧❵❬❵❬❯✒❩✠❨✩◗♦❜✠♣q❙r❴s❱✽❙✲❜✜❲✒t✥✉✹✈✣❚q❲✇❵✪❩✡❵✸❲②①✥❯✒❘✝❯✒❴✚❪✩❛❅❨❆❙✲❯✒❴✚❪❬❯✒❨ ❘✝❛❅❴✝❪✸❨③❲✒④❏❲❏❙✲❚✠❜✜❩✠❨❬❲✥❴✚❪✔❥✧❯✧❵⑤❲✥❴✠❴✔⑥❯✧❯✧❵♠❜✠❯q❪✸⑦❁❣❯✧❵③❯✥✉✥⑧✦❯✧❵✔❥✧❛❅❘⑩⑨♠⑥❯✧❪❬❯✒❴✦❥✧❯✧❵✔❵③❥✧❙❶❯✒❴✚❪❬❙❡❷✜❸✠❩✦❯✧❵❄❘✇❝❹❛❅❴✚❪✔⑨✠❯✒❨③❘✝❙✲❵❺❜✠❯✯❜❺⑥❯✧❥✧❛❅❩✚❻ ④❼❨❆❙r❨❃❚✲❯✩❜✠❛✦❘⑩❲❏❙r❴✦❯✝❜✠❯✩❚r❲✇❨❆❯✧❥✧⑦✦❯✒❨❆❥✘⑦✦❯✖❵✸❩✠❨✯❜✠❯✧❵✩❢✠❲❏❵❬❯✧❵❃❵❬❛✥❚✲❙✲❜✠❯✧❵✒✉✱❽✯❛✥❵✟⑥❯✧❥✧⑦✠❲✥❴✦①✥❯✧❵❿❾➀❵❬❥✧❙✲❯✒❴✥❪❬❙❡❷✜❸✠❩✦❯✒❘✝❯✒❴✚❪❿⑨✠❲✥❨➁♥✣❛✥❙✲❵ ④❅❙✲①✥❛❅❩✠❨P❯✒❩✦➂❼➃✯❛❅❴✚❪❺❪③❛❅❩✴➄➅❛✦❩✠❨❆❵q❜⑤⑥❯✒❢❉❛❅❩✦❥✧⑦✔⑥❯❃❵✸❩✠❨⑤❜✠❯✧❵✽⑨✠❯✒❨❆❵✸⑨❉❯✧❥✧❪❬❙✲④✥❯✧❵✽❯✧❪q❜✠❯✧❵✇⑥❯✧❪✸❩✦❜✠❯✧❵❄⑨✠❲❏❵③❵❬❙✲❛❅❴✠❴✠❲✥❴✚❪❬❯✧❵✒✉ ❭✥❯✽❪❬❙✲❯✒❴✦❵✇⑥❯✧①❅❲❏❚✲❯✒❘✝❯✒❴✚❪✩❣❲❿❨P❯✒❘✝❯✒❨❆❥✧❙✲❯✒❨⑤❵❬❙r❴✦❥✥❣❯✒❨P❯✒❘✝❯✒❴✥❪✯➆❄❚r❲❏❙r❴✟➇✯⑦✔⑥❯✧❜✠❙r❴✇⑨✠❛❅❩✠❨➈❚➀❝➉❙❳❴✚❪✠⑥❯✒❨✒➊❯✧❪✢❸✠❩❁❝❹❙✲❚➋⑨✠❛✦❨❆❪❬❯❍❣❲✝❘✝❛❅❴ ❪✸❨❬❲✴④❖❲❏❙✲❚✹❯✧❪✻❲✚❩✦➂✟❵❬❪✸❲②❪❬❙✲❵❬❪❬❙✲❸❼❩✦❯✧❵❃❯✒❴➌①✢⑥❯✒❴♠⑥❯✒❨❬❲❏❚✣✉✠⑧✠❲✇⑨✔⑥❯✧❜✜❲❏①✚❛✥①✥❙✲❯✩❯✧❪❃❵❬❛❅❴➍❯✒❴✥❪✸⑦✦❛✦❩✦❵❬❙r❲❏❵✸❘✝❯⑩❴✦❛❅❩✦❵❃❛❅❴✚❪✻⑨❉❯✒❨❬❘✝❙✲❵✽❜✠❯ ➎ ❜❺⑥❯✒⑨✠❲❏❵③❵❬❯✒❨⑤❚✲❯✩❘✝❩✠❨ ➎ ❵✠⑥❯✒⑨✠❲✥❨❬❲✥❴✚❪✔❚r❲❫⑨✠⑦✥t✦❵❬❙✲❸❼❩✦❯✝❲❏❪✸❘✝❛✚❵✸⑨✠⑦✔⑥❯✒❨❆❙✲❸✠❩✦❯✽❯✧❪q❚✲❯✧❵❄❵③❪✸❲❏❪❬❙✲❵❬❪❬❙✲❸✠❩✦❯✧❵✒✉ ❭✥❯❄❨P❯✒❘✝❯✒❨❆❥✧❙✲❯✇⑥❯✧④✦❙✲❜✠❯✒❘⑩❘✝❯✒❴✚❪✔➏✐⑥❯✒❨❬❲✥❨❆❜✖➐➑⑥❯✧①✥❙✲❯⑤❜❞❝➒❲✴④✥❛✥❙r❨➋❢✦❙✲❯✒❴➓④✥❛❅❩✦❚r❩⑩⑨✠❲✥❨P❪❬❙✲❥✧❙❳⑨❉❯✒❨✽❣❲❃❥✧❯➋➄❬❩✠❨❆t✝❯✧❪✢❜❞❝❹❯✒❴✝❲✴④✥❛✥❙r❨ ⑥ ❯✧❪✠⑥❯❄❚✲❯❿⑨✠❨✦⑥❯✧❵❬❙✲❜✠❯✒❴✚❪✒✉ ❭✥❯✐❵❬❛❅❩✠⑦✠❲②❙❶❪③❯➔❨❆❯✒❘✝❯✒❨❆❥✧❙✲❯✒❨➍④❅❙✲④✥❯✒❘✝❯✒❴✚❪✟→❁t✠❴✠❴✦❯➔➣♠❙✲❚❶❚r❲✥❨P❜❞↔✻➏✐⑥❯✒❨❬❲✚❨❆❜↕➏✽❛❏④❖❲②❯✒❨❆❪❍❯✧❪✟➣♠❯✒❨❆❪✪⑦✦❛✥❚✲❜➑⑧✦❥✘⑦✚♣⑤❯✧❙✲➙✧❯✒❨ ❜❞❝➒❲✴④✥❛✥❙r❨q❲❏❥✧❥✧❯✒⑨✦❪✠⑥❯❄❜❞❝✭➊❯✧❪✸❨❆❯✽❨❬❲✥⑨✠⑨❉❛❅❨❆❪❬❯✒❩✠❨P❵✒↔✜❘⑩❲❏❚✲①❅❨✦⑥❯❃❚❶❯✒❩✠❨P❵✻❴✦❛❅❘✝❢✠❨❆❯✒❩✦❵③❯✧❵q❥✘⑦✠❲✚❨❆①✥❯✧❵❄❨❆❯✧❵✪⑨✠❯✧❥✧❪❬❙✲④✥❯✧❵✒✉ ➐✐❯✒❨❆❥✧❙✻❣❲➍➛✱❲✥❢✠❨P❙❶❥✧❯✇➜⑤❛✥❵③❵❬❙⑤❯✧❪❧❣❲✟➏➝❙✲❚❳❢❉❯✒❨❆❪❍⑧✠❲✥⑨❉❛❅❨❆❪✸❲➍❜❞❝➒❲✴④✥❛✥❙r❨✽❲❏❥✧❥✧❯✒⑨✦❪✠⑥❯❍❘✝❛❅❴✄❙r❴✥④✦❙✲❪✸❲❏❪❬❙✲❛❅❴➞❣❲✇❥✧❯✖➄❬❩✠❨❆t✡❯✧❪ ❜❞❝➒❲✴④✥❛✥❙r❨q⑨✠❛✦❨❆❪✠⑥❯✽❲✥❩✦❪✸❲✚❴✥❪⑤❜❞❝➒❲❏❪③❪❬❯✒❴✥❪③❙❶❛✦❴✡❣❲❿❘✎❯✧❵✻❨❆❯✧❥✧⑦✦❯✒❨❆❥✧⑦✦❯✧❵✒✉ ➐✐❯✧❵✻❨P❯✒❘✝❯✒❨❆❥✧❙✲❯✒❘✝❯✒❴✚❪❬❵✽④✥❛❅❴✚❪✇⑥❯✧④✦❙✲❜✠❯✒❘⑩❘✝❯✒❴✚❪❄④✚❯✒❨❆❵✻❽✯❛✦❯✧❚❶❚✲❯❍⑧✦❥✧❛✚❪❬❪❄❸✠❩✦❙✢❘✇❝➒❲⑩❲❏❥✧❥✒❩✦❯✧❙✲❚✲❚✲❙✲❪❿❜✜❲✚❴✦❵❄❚✲❯✝①❅❨❆❛❅❩✠⑨❉❯ ➆✻➜⑤➆➟❜✜❩➌→❁➐✐❱➟❥✧❛❅❘⑩❘✝❯✩❘✎❯✒❘❿❢✠❨P❯❍❣❲⑩⑨✠❲✥❨❆❪⑤❯✒❴✚❪❬❙➀❣❯✒❨❆❯✽❜✠❯✖❥✧❯✧❪❬❪❬❯✐⑥❯✧❸✠❩✦❙r⑨✠❯✥✉ ➐✐❯✒❨❆❥✧❙❂❣❲✽➇➈❚❳❲✚❩✦❜✠❯✻➣⑤❲❏❵❬❜✠❯✧④❏❲✥❴✚❪✒↔✥❜✠❙r❨❆❯✧❥✧❪❬❯✒❩✠❨♠❜✜❩❫→❁➐✐❱➠❣❲✩❘✎❛❅❴✝❜⑤⑥❯✒❢✠❩✦❪♠❜✠❯q❪✸⑦❁❣❯✧❵❬❯✥↔❏❯✧❪✻❣❲✖➡q❯✒❨❆④♠⑥❯q→❁❯✽➢✹❨❆❯✒❩✦❪✒↔ ❜✠❙❳❨P❯✧❥✧❪❬❯✒❩✠❨❃❜✜❩✇→❁➐✐❱➤❣❲⑩❘⑩❲✖❷✱❴❫❜✠❯✖❪✸⑦❁❣❯✧❵③❯✥↔❅❜✠❯✝❘✇❝➒❲✴④✥❛✥❙r❨⑤❨❆❯✠➥❥✒❩✇❲✥❘✎❙❶❥✒❲②❚❶❯✒❘✎❯✒❴✥❪✒✉ ❭✜❝➒❲②❜✜❨❆❯✧❵❬❵❬❯⑩❢✦❙✲❯✒❴✐❵✸❩✠❨✽❩✠❴✦❯⑩⑨✠❯✒❴✦❵✠⑥❯✧❯⑩❲✥❘✝❙✲❥✒❲❏❚✲❯▼❣❲➓❪❬❛❅❩✦❪❬❯✝❚✣❝❆⑥❯✧❸❼❩✦❙r⑨✠❯✝❜✜❩✐①✦❨❆❛❅❩✠⑨✠❯✝➆✽➜⑤➆✝↔❁❯✧❪✻⑨✦❚r❩✦❵❿⑨✠❲✚❨❆❪❬❙✲❥✒❩✚❻ ❚❶❙✣❣❯✒❨❆❯✒❘✝❯✒❴✚❪➝❣❲✖➜q❲✴t❼❘✎❛❅❴✦❜❍➆✽❨❬❘⑩❲✚❴✥❪❬❯❃⑨✠❛❅❩✠❨♠❵❬❛❅❴➓⑦❅❩✠❘✝❛✦❩✠❨✔❯✧❪♠❵❬❯✧❵⑤❥✧❛❅❘⑩⑨♠⑥❯✧❪❬❯✒❴✦❥✧❯✧❵✔❙r❴✚♥✣❛❅❨❬❘⑩❲❏❪③❙❶❸✠❩✦❯✧❵⑤❸❼❩✦❙❞❘✇❝➉❛❅❴✥❪ ⑨✠❯✒❨❬❘✝❙✲❵✇❜✠❯➌④✥❯✒❴✦❙r❨▼❣❲s❢✠❛❅❩✦❪➓❜✠❯➦❴✦❛✦❘❿❢✠❨P❯✇❜✠❯✟❜✠❙❡➧❍❥✒❩✦❚✲❪✠⑥❯✧❵✹➨❺❘✎❯✒❨❆❥✧❙❿❣❲✡➏➝❙❶❚✲❚✲❯✧❵▼➣⑤❲✥❴✠❴✦❯✒❨P❛✥❪▼❾✭❸✠❩✦❙❄❘s⑥❯✒❨❆❙✲❪❬❯✒❨❬❲❏❙✲❪ ⑨✠❨❆❯✧❵❬❸✠❩✦❯▼❜✠❯➍♥➩❲②❙❳❨P❯✟⑨✠❲✥❨❆❪❬❙✲❯✟❜✠❯➌❚✣❝➅⑥❯✧❸✠❩✦❙r⑨✠❯✐➆✻➜➈➆✻➃❫⑨✠❛❅❩✠❨➓❵❬❯✧❵⑩❯✒❴✚④✥❛✥❚✪⑥❯✧❯✧❵❧⑨✠❲✥❨P❪❬❙✲❵✸❲✥❴✠❴✦❯✧❵➋➨♠❘✝❯✒❨❆❥✧❙❿❣❲✡➣♠❯✒❨❬❴✠❲✚❨❆❜ ➣✔❛✦❴✠❴✦❯✧❪✇❜✠❯▼❵✪❲✡❢✠❛❅❴✠❴✦❯s⑦❅❩✠❘✝❯✒❩✠❨▲➨✔❘✝❯✒❨❆❥✧❙⑩❣❲s➇q⑦✠❲✥❴✚❪✸❲❏❚❄➇⑤❚r❲✥❩✦❜➞❜✠❯✡❨❆❯✒⑨✠❨✦⑥❯✧❵❬❯✒❴✚❪❬❯✒❨✝❚✣❝❹➆✽❩✦④✥❯✒❨❆①❅❴✦❯✔➨⑤❘✝❯✒❨❆❥✧❙⑩❣❲ →❞❲✥❩✠❨❆❯✒❴✚❪⑩➇q❨✦⑥❯✒⑨❉❯✒❲✥❩✄❜✠❯❍❵❬❯✧❵⑩❨❆❯✧❚✲❯✧❥✧❪✸❩✠❨P❯✧❵❿❯✧❪✝❜✠❯❫❵❬❛❅❴✄❥✒❲❏❚r❘✝❯✇❚✸⑥❯✧①✥❯✒❴✦❜✜❲②❙❳❨P❯✔➨➋❘✝❯✒❨P❥✧❙➝❣❲➌➇⑤t✠❨❆❙✲❚➈➇✯❨❆❯✧④✥❛✥❙✲❵❬❙✲❯✒❨✖❜✠❯ ❨❆❙r❨❆❯➦❣❲✐❘✝❯✧❵✝❢✦❚r❲❏①❅❩✦❯✧❵⑩❜⑤⑥❯✒❢✦❙❶❚✲❯✧❵✟❾✭❙✲❚q❴✦❯❍❵③❯⑩♥✣❛❅❨❆❥✧❯❍⑨✠❲②❵✸➃✧↔➋❴✦❛✚❵✡⑥❯✧❥✧⑦✠❲✥❴✦①✥❯✧❵✖❪✸⑦♠⑥❯✒❲②❪✸❨❬❲✥❩✦➂✐❘✇❝❹❛❅❴✚❪✩❵❬❛✦❩✦④✥❯✒❴✥❪✝⑨✠❲✥❨❬❩ ❪❬❯✧❚✲❚❶❯✩❩✠❴✦❯✯❚❳❩✠❘✎❙➀❣❯✒❨❆❯q❜✜❲✥❴✦❵⑤❚✲❯q❸✠❩✦❛✥❪❬❙✲❜✠❙✲❯✒❴✇❘⑩❲❏❪✸⑦♠⑥❯✒❘⑩❲❏❪❬❙✲❸✠❩✦❯✩❾❡➄✘❝➉❯✒❴✽♥➫❲❏❙✲❵✔❜✠❯✧❵♠❪❬❛❅❴✠❴✦❯✧❵✸➭✴➃❞➨✦❘✝❯✒❨❆❥✧❙➋❣❲✽➐✡❲✥❨P❥❺❱✽❯✧➂✦❯✧❪ ⑨✠❛❅❩✠❨♦❵❬❛❅❴✖❯✒❴✥❪✪❨❬❲❏❙r❴✟❾✣⑨✠❲✥❨➅♥➀❛✥❙✲❵✹♥➫❲❏❪❬❙✲❸✠❩✠❲✥❴✥❪✴✉r✉r✉✴❭✥❯❄⑨✦❚r❲❏❙✲❵✸❲✥❴✚❪❬❯✥↔❏❪✒❝❆⑥❯✒❴✦❯✒❨❆④✥❯⑤⑨✠❲❏❵✒✉r✉r✉❡➃❺❣❲✽⑨✠❲✥❨P❚❶❯✒❨♦❜✠❯ ➎ ⑨✠⑦✠⑨ ➎ ↔❏❜✠❯❃❘✝❛✥❪❬❛✥❵ ❯✧❪✩❜✜❩✐➯❃❙✲❯✧❪✸❴✠❲✥❘✌➨❞❘✎❯✒❨❆❥✧❙❄❣❲❫➛✱❲❏❜✠❛✦❩✠❲✇◗✢❜✠❜✠❛❅❩✠❴✦❙r❲✐⑨✠❛❅❩✠❨➝❵❬❯✧❵✽①❞➊❲❏❪③❯✒❲✥❩✦➂✟➐✡❲✥❨❆❛✦❥✒❲❏❙r❴✦❵❧❾❶➄✘❝➒❲②❙❳❘✎❯✥↔✜❪✸❩✄⑨✠❯✒❩✦➂✐❯✒❴ ❨❆❯✪♥➩❲②❙❳❨P❯✥✉r✉r✉➒➃✹❯✧❪⑤⑨✠❛❅❩✠❨♠❵✸❲➝①✥❯✒❴✥❪③❙❶❚✲❚✲❯✧❵❬❵❬❯⑤➨❅❘✎❯✒❨❆❥✧❙❂❣❲✽⑧✠❲✥❨③❲✥⑦✝➛✱❨③❲✥❴✦❸❼❩✦❯✧❪♠❜❞❝➒❲✴④✥❛✥❙r❨✔⑨✠❲✚❨❆❪✸❲❏①✢⑥❯❺❩✠❴❫❢✠❩✠❨❆❯✒❲✥❩✝❜✠❯❃❚r❲✥❢✠❯✒❩✠❨✶↔ ❵❬❛❅❴✌⑥❯✧❥✧❛❅❩✦❪③❯✽❯✧❪❄❵✸❲➓❜✠❛❅❩✦❥✧❯✒❩✠❨✽❘✇❝➉❛❅❴✥❪✽⑨✠❯✒❨③❘✝❙✲❵✽❜✠❯❿❪✪❨❬❲✴④❖❲❏❙✲❚✲❚✲❯✒❨❃❜✜❲✥❴✦❵✩❩✠❴✦❯⑩❲✥❘✝❢✦❙❳❲✚❴✦❥✧❯✎⑨❉❛✥❵✠⑥❯✧❯❂➨❁❘✝❯✒❨❆❥✧❙q❣❲❫❦✔⑦✦❙❡❻ ❚❶❙r⑨✠⑨❉❯❍❽❄❲✴④✥❯✒❲✚❩✇❜✠❯✩❵③❛❅❴✟❲✥❘✎❙❶❪③❙✸⑥❯✥↔✠❵❬❯✧❵❃❥✧❛❅❴✦❵❬❯✧❙✲❚✲❵✽❵❬❥✧❙✲❯✒❴✥❪③❙➒❷✜❸✠❩✦❯✧❵✩❛✦❴✥❪q❵③❛❅❩✦④✥❯✒❴✚❪✟⑥❯✧❥✧❚❳❲②❙❳❨P❥✧❙❶❪✽❘✝❯✧❵✽⑨✠❯✒❨❆❵✪⑨✠❯✧❥✧❪❬❙✲④✥❯✧❵✢➨ ❘✝❯✒❨❆❥✧❙❺❣❲✝⑧✦❛❅❩✠❘✝❙r❲⑩⑧✦❯✒❨③❨❬❲✥❨⑤❜✠❯✽❵✸❲✖❥✧⑦✠❲❏❚✲❯✒❩✠❨✧↔✠❜✠❯✽❵❬❛✦❴✇❲❏❙✲❜✠❯❿⑨✠❛✦❩✠❨q⑨✠❨✦⑥❯✒⑨✠❲✚❨❆❯✒❨✢❚✲❯✩❥✒❲❖♥❖⑥❯q❯✧❪q❜✠❯✩⑨✠❲✥❨❆❚✲❯✒❨q❲✴④✥❯✧❥✽❪✪❲✥❴✥❪
❚✲❯✒❩✠❨q❵③t❼❘⑩⑨✠❲②❪✸⑦✦❙✲❯✥✉ ❭✚❯❿❨❆❯✒❘✝❯✒❨P❥✧❙❶❯s⑥❯✧①❅❲❏❚✲❯✒❘✝❯✒❴✚❪➝❾➀❜✠❛❅❥✧❪❬❯✒❩✠❨③➃✂✁✽❲✥❨P❙❳❘ ➜q❲✥❘➓❲❏①✥❯✽❯✧❪⑩❾✭❜✠❛❅❥✧❪③❯✒❩✠❨❬➃q➣♠❯✒❴✴➄P❲✚❘✝❙r❴✟⑧✠❩✦❚✲❪✸❲✥❴✐⑨✠❛✦❩✠❨q❚✲❯✒❩✠❨ ❲✥❘✝❙✲❪❬❙✪⑥❯❺❯✧❪✹❚✲❯✒❩✠❨✢❵❬❛✦❩✦❪❬❙✲❯✒❴❁↔❖❦♠⑦✦❙❶❚✲❙r⑨✠⑨✠❯✽❱✩❨P❛❅❢✦❙r❴✦❵☎✄✥t✝⑨✠❛❅❩✠❨✹❵③❯✧❵➋❥✧❛❅❴✦❵③❯✧❙❶❚✲❵⑤❯✧❪✹❵❬❛❅❴✝❲❏❪❬❪❬❯✒❴✚❪❬❙✲❛❅❴❁↔✧❚✣❝➒❲✚❴✦❥✧❙❶❯✒❴✠❴✦❯➌⑥❯✧❸✠❩✦❙r⑨✠❯ →❞✈➩❱❄➆✽➜➑❾✭➆✽❨❬❴✠❲✥❩✦❜❞↔❏➯❃❙r❴✦❥✧❯✒❴✥❪✴✉r✉r✉➒➃✢❲❏❙r❴✦❵❬❙✠❸✠❩✦❯⑤❚✲❯q❵❬❯✧❥✒❨✦⑥❯✧❪✸❲✥❨❆❙r❲❏❪✹❜✜❩✝→❁➐✐❱✝✆➟❾✣◗✢❚✲❙r❲✥❴✦❯✥↔✚➐➦❲✚❨❆❪❬❙r❴✦❯⑤❯✧❪✔⑧✦❪❼⑥❯✒⑨✠⑦✠❲✥❴✦❯✒➃ ⑨✠❛✦❩✠❨q❚✲❯✒❩✠❨❃❲❏❙✲❜✠❯✥✉ ➐✐❯✒❨❆❥✧❙❞❲✥❩✦➂➓①✥❯✒❴✦❵q❜✜❩✇❽✯❛❅❨❆❜✡❾✭❸❼❩✦❙❁❛❅❴✚❪⑤❜✜❲✥❴✦❵q❚✲❯✧❵qt✥❯✒❩✦➂❁✉r✉r✉❡➃✢❜✠❯✽❵✒❝✭➊❯✧❪✸❨❆❯q❜⑤⑥❯✒⑨✦❚r❲❏❥✱⑥❯✧❵⑤❯✧❪✩❾✣⑨✠❲✥❨➁♥✣❛✥❙✲❵✸➃♠❜✠❯✩❘✇❝➒❲②❥✪❻ ❥✒❩✦❯✧❙✲❚✲❚❶❙r❨❫❾❡➄✘❝❡❲❏❙r❘✝❯✽❚r❲⑩❥✒❲✥❨③❢✠❛❅❴✠❴✠❲❏❜✠❯✟✞✱❲✚❘⑩❲✥❴✦❜✠❯✥✉r✉r✉❡➃✧✉ ❾❉➥➇q❲✎❯✒❴❫♥➫❲❏❙✲❪q❜✠❯✧❵❄❘✝❯✒❨❆❥✧❙✲❵✒✉✾✉r✉➒➃ ❭✚❯✔❪❬❙✲❯✒❴✦❵q❣❲q❨❆❯✒❘✝❯✒❨❆❥✧❙✲❯✒❨ ➎ →❁❯✧❵❂➣⑤❨❬❲✚❘✝❯✒❴✥❪③❛❅❘✝❢✠❯ ➎ ❾✭➐✡❲❏❪✸⑦✦❙✲❯✒❩✩➣♠❛❅❩✠❨P①❅❲❏❵❬❵❬❯✒❨✶↔✘➏✐⑥❯✒❨❬❲✚❨❆❜✻➣♠❛❅❩✠❨③❘✝❯✒❲✥❩❁↔✒→❞❲✚❩✠❨❆❯✒❴✥❪ →❞❲✥❨③❲✒④✦❙r❴✦❯✥↔❅➜⑤❛✦❘❿❩✠❲②❚❶❜✇❽✖❝➒➢❞❛✦❩✠❴✥❪✸❲❉↔❏❭❂⑥❯✒❨❆❛✦❘✝❯q❦✹❯✧❙❶①✦❴✦❛✥❪✒↔✠✁✽❲✚❨❆❙r❘ ⑧✠❘⑩❲❏❙✲❚✲❙r➃✧✉✠❽q❛✚❵❺❴✦❛❅❘✝❢✠❨❆❯✒❩✦❵❬❯✧❵⑤❲✴④✥❯✒❴✥❪✪❩✠❨❆❯✧❵✔❵✸❩✠❨ ❚✲❯✧❵✻⑨✦❚r❲✥❴✦❥✧⑦✦❯✧❵✽❯✧❪q❯✒❴✚❻➫❜✠❯✒⑦✦❛❅❨P❵❄❘✇❝❹❯✒❴✠❴✦❙✲④✠❨❆❯✒❴✥❪❃❪❬❛❅❩✴➄❆❛❅❩✠❨❆❵❃❲✥❩✦❪✸❲✥❴✚❪✒✉r✉r✉ ➐✐❯✒❨❆❥✧❙✝❣❲✐➆✻❴✠❴✦❙✲❯➌➯✔❨❬❲❏❥ ❾➩❘⑩❲✐❘⑩❲✥❘⑩❲✥❴✌❣❲✄❘✝❛✥❙r➃⑩❯✧❪➓➆❄❚✲❯✧➂✠❲✥❴✦❜✜❨❆❯✟➯✔❨③❲❏❥ ❾✣❘✎❛❅❴ ➎ ①❅❨❬❲✥❴✦❜ ➎ ⑨❉❯✧❪❬❙✲❪⑩♥➫❨✧❣❯✒❨❆❯✒➃ ❜❞❝✭➊❯✧❪✸❨❆❯q❚➫❣❲✝❥✧⑦✠❲❏❸✠❩✦❯❃♥➀❛✥❙✲❵⑤❸✠❩✦❯⑤➄✘❝➒❲②❙✱❢✠❯✧❵③❛✥❙r❴✇❜❞❝❹❯✒❩✦➂❁✉r✉r✉✚➐▼❯✒❨P❥✧❙♦❣❲✖➆✽❩✦❜✜❨❆❯✧t❫➯✔❨❬❲❏❥⑩❾✣❘⑩❲✖❵❬❛✦❯✒❩✠❨❬➃♠❜✠❯✩⑨✠❲✥❨❆❪✸❲❏①✚❯✒❨✢❜✠❯✧❵ ❵❬❛❅❩✦④✚❯✒❴✦❙❳❨P❵✒✉r✉r✉ ❭✚❯❿④✚❛❅❩✦❜✜❨❬❲❏❙✲❵✩❨❆❯✒❘✝❯✒❨P❥✧❙❶❯✒❨✽➡➍⑥❯✧❚✣❣❯✒❴✦❯❿➣⑤❨❆❛✥①❅❴✦❙✲❯✧➙✝❸✠❩✦❙✔❲⑩❵✸❩✐❘✝❯✒❴✦❯✒❨❃❩✠❴✦❯❍⑨✠❲✥❨P❪❄❯✧❵❬❵③❯✒❴✥❪❬❙✲❯✧❚✲❚✲❯▼❣❲❫❚✣❝➒❲✥❢❉❛❅❩✦❪❬❙✲❵❬❵❬❯✪❻ ❘✝❯✒❴✚❪✩❜✠❯⑩❥✧❯➓❪✸❨❬❲✴④❖❲❏❙✲❚☛✡✹❘✝❯❍❨❆❯✒❘✝❛✦❴✥❪❬❯✒❨❃❚✲❯✇❘✝❛❅❨❬❲②❚➋❯✧❪✝❘✝❯⑩❵✸❩✠⑨✠⑨❉❛❅❨❆❪❬❯✒❨✧✉✾✉r✉❞➣♠❛❅❴❁↔❞❥✥❝❹❯✧❵③❪✩❩✠❴✡⑨✠❯✒❩✄❵❬❛✥❚✲❯✒❴✠❴✦❯✧❚✣↔❁➄❆❯ ❚✣❝➒❲❏❥✧❥✧❛❅❨P❜✠❯✥✉r✉r✉✥❱✽❙✲❵❬❛✦❴✦❵❺❵③❙❳❘➓⑨✦❚❶❯✒❘✎❯✒❴✥❪q❸✠❩✦❯♠➄➅❯q④✚❛❅❩✦❜✜❨❬❲❏❙✲❵q❨❆❯✒❘✝❯✒❨❆❥✧❙✲❯✒❨⑤➡✇⑥❯✧❚➀❣❯✒❴✦❯❄➣⑤❨❆❛✚①❅❴✦❙✲❯✧➙✩⑨✠❛❅❩✠❨✧✉✾✉r✉❅⑨❉❛❅❩✠❨✧✉r✉r✉✥⑨❉❛❅❩✠❨ ❨❆❙✲❯✒❴❁✉❋❭❅❩✦❵❬❪❬❯✝⑨✠❲✥❨❆❥✧❯✽❸✠❩✦❯✽❥✥❝❹❯✧❵❬❪q❯✧❚✲❚✲❯✥✉r✉r✉ ❭✚❯✩❪❬❙✲❯✒❴✦❵❿❣❲⑩❨P❯✒❘✝❯✒❨❆❥✧❙✲❯✒❨❄❘✎❛❅❴✇⑨✠❩✠❢✦❚✲❙❶❥➓❵✸❲✥❴✦❵q❚✲❯✧❸✠❩✦❯✧❚✜➄❆❯✩❴✦❯✽❵❬❯✒❨❬❲❏❙✲❵✽⑨✠❲❏❵q❚➫❣❲✠✉r✉✾✉
➢❞➆✽➣⑤→❞◗ ❱✩◗✔⑧❫➐✐➆✔➢q✈ ◗♠➜q◗✔⑧ ✁ ✂☎✄ ✆✞✝ ✟ ✝✡✠ ☛ ✂✡☞✍✌✏✎✝✒✑✍✝✓✠ ✔✖✕✘✗✚✙✖✛✢✜✤✣✦✥✧✗✚★✩✛✪✕ ✫✭✬ ✫ ✮✯✕✱✰✘✲✩✳✵✴✷✶✸✜✪✶✸✜✪✛✦✕✵✕✺✹✶✻✶✼✴✽✴✷✳✤✾✸✿✵✛❀✲❁★❃❂❄✣❀✶✼✴ ✫✭❅ ❆ ✉❆ ✈➫❴✚❪✸❨❆❛✦❜✜❩✦❥✧❪❬❙✲❛❅❴✐✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❆ ✉❈❇ ➆✻❴✠❲②❚❶t✦❵❬❯✖❜✠❯✩❜✠❛❅❴✠❴♠⑥❯✧❯✧❵q❵❬t✠❘❿❢❉❛✥❚✲❙✲❸❼❩✦❯✧❵ ✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊❉ ❆ ✉❈❋ ❦✔❨✦⑥❯✧❵❬❯✒❴✚❪✸❲❏❪❬❙✲❛❅❴✎♥➀❛✦❨❬❘✝❯✧❚✲❚✲❯✩❜✠❯✩❚✣❝➒❲✚❴✠❲❏❚✲t❅❵❬❯✖❜✠❯✽❜✠❛❅❴✠❴♠⑥❯✧❯✧❵✯❵❬t❼❘✝❢❉❛✥❚✲❙❶❸✠❩✦❯✧❵➞✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇ ❆ ❆ ✉●❋✠✉❆ ❍ ❢✦➄❆❯✧❪q❵❬t✠❘✝❢✠❛✥❚✲❙✲❸✠❩✦❯❿❢✠❛✦❛✥❚✪⑥❯✧❯✒❴ ✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊❇ ❆ ✉●❋✠✉❈❇ ❍ ❢✦➄❆❯✧❪q❵❬t✠❘✝❢✠❛✥❚✲❙✲❸✠❩✦❯❿❘✝❛✦❜✜❲❏❚⑤✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊❋ ❆ ✉❏■ ➇q❲❏❚✲❥✒❩✦❚❞❜✠❯✖❚➀❝➉❯✧➂❅❪❬❯✒❴✦❵③❙❶❛✦❴✇❜❞❝➒❩✠❴➍❛❅❢✦➄❆❯✧❪❺❵③t❼❘✝❢✠❛✚❚❶❙✲❸✠❩✦❯➠✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊❋ ❆ ✉❈❑ ➏✐⑥❯✒❴✔⑥❯✒❨❬❲❏❚✲❙✲❵✸❲❏❪③❙❶❛✦❴⑩❯✧❪q❵✪⑨✔⑥❯✧❥✧❙r❲❏❚✲❙✲❵✸❲❏❪❬❙✲❛❅❴➌❜❞❝➒❩✠❴✦❯✽❥✧❚r❲❏❵❬❵③❯✩❜❞❝❹❙r❴✦❜✠❙✲④❅❙✲❜✜❩✦❵ ✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊❑ ❆ ✉●❑✠✉ ❆ ➏✐⑥❯✒❴♠⑥❯✒❨③❲❏❚✲❙❶❵✪❲❏❪❬❙✲❛❅❴ ✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊❑ ❆ ✉●❑✠✉❈❇ ⑧✠⑨♠⑥❯✧❥✧❙❳❲②❚❶❙✲❵✸❲②❪❬❙✲❛❅❴ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊▲ ❆ ✉❈▲ ❱✽❛❅❴✠❴♠⑥❯✧❯✧❵ ➎ ♥✣❛❅❴✦❥✧❪❬❙✲❛❅❴✦❵❃❜✠❯✩❨✦⑥❯✒⑨✠❲✥❨❆❪❬❙✲❪❬❙✲❛❅❴ ➎ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊▼ ❆ ✉❈◆ ➡q❙✲❵❬❪③❛✥①❅❨❬❲✥❘➓❘✝❯✧❵✩❣❲⑩❘✝❛✦❜✜❲❏❚✲❙❶❪✠⑥❯✧❵❄❴✦❛❅❘✎❙❳❴✠❲②❚❶❯✧❵✐✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊ ❆ ✉❈▼ ➇⑤❛❅❴✦❥✧❚r❩✦❵❬❙✲❛❅❴ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❇❊ ❖ P ✹ ✶✼✲✩✰✱✕✱◗✘✶❘✜✪✶✸✜✪✶✘✕✦✴✚★❙✗✵✹✶✼✴ ✬✱✫ ❇✠✉ ❆ ✈➫❴✚❪✸❨❆❛✦❜✜❩✦❥✧❪❬❙✲❛❅❴✐✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❋ ❆ ❇✠✉❈❇ ➆✻⑨✠⑨✠❨P❛❅❥✧⑦✦❯✩❯✧❵❬❪③❙❳❘➓❲❏❪❬❙✲❛❅❴ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❋✧■ ❇✠✉●❇✠✉ ❆ →✢❝❡❲❏❚✲①✥❛❅❨❆❙✲❪✸⑦✠❘✝❯✩◗♦➐ ✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❋✧■ ❇✠✉❈❋ →❁❯✧❵❃④❖❲✥❨❆❙r❲✥❴✚❪❬❯✧❵q❜✠❯✝◗✢➐ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❋❊ ❇✠✉●❋✠✉ ❆ ⑧✠◗♦➐ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❋❊ ❇✠✉●❋✠✉❈❇ ⑧✦➆✽◗✢➐ ✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ■ ❆ ❇✠✉●❋✠✉❈❋ ➐✡➇q◗♦➐ ✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ■ ❆ ❇✠✉❏■ ➆✻⑨✠⑨✠❨P❛❅❥✧⑦✦❯✩❥✧❚r❲❏❵❬❵③❙➒❷✜❥✒❲②❪❬❙✲❛❅❴➞✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ■✻❇ ❇✠✉❚■✜✉ ❆ ❱✐⑥❯✧❥✧❛❅❘⑩⑨✠❛✚❵❬❙✲❪❬❙✲❛❅❴❍⑨✠❲✚❨ ➎ ❴✦❩✔⑥❯✧❯✧❵q❜✠t✠❴✠❲✥❘✝❙✲❸✠❩✦❯✧❵ ➎ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ■✻❇ ❇✠✉❚■✜✉❈❇ ➇q◗♦➐ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ■❊■ ❇✠✉❈❑ ➇⑤❛❅❴✦❥✧❚r❩✦❵❬❙✲❛❅❴ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ■✻❑ ✬ ❯❱★❁✴✷✗✚✙✧★❁✿❲✣✱✗✚★✩✛✪✕❳✜✪✶✸✜✵★❃✴❨✗✚✙❩★❁✿✤✣❀✗✚★❙✛✦✕✦✴ ❬✦❭ ❋✠✉❆ ❱▼⑥❯✪❷✱❴✦❙✲❪❬❙✲❛❅❴➍❜✠❯✧❵⑤♥➀❛✦❴✦❥✧❪❬❙✲❛❅❴✦❵❄❜✠❯✽❜✠❙✲❵❬❪✪❨❆❙r❢✠❩✦❪❬❙✲❛❅❴➌❜✠❯✩❜✠❙✲❵❬❪✸❨❆❙r❢✠❩✦❪❬❙✲❛❅❴✦❵ ✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ■✻◆ ❋✠✉❈❇ ◗✢❵❬❪③❙❳❘➓❲❏❪❬❙✲❛❅❴❫❜✠❯✧❵✯♥➀❛❅❴✦❥✧❪③❙❶❛✦❴✦❵q❜✠❯✩❜✠❙✲❵❬❪✸❨P❙❳❢✠❩✦❪③❙❶❛✦❴✦❵✽❜✠❯✽❜✠❙❶❵③❪✸❨❆❙r❢✠❩✦❪❬❙✲❛❅❴✦❵ ✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❑ ❆ ❋✠✉●❇✠✉❆ ➆✽⑨✠⑨✠❨❆❛✦❥✘⑦✦❯✩⑨✠❲✥❨③❲✥❘s⑥❯✧❪✪❨❆❙✲❸❼❩✦❯ ✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❑❊❇ ❋✠✉❈❇✠✉❆ ✉❆ →❁❛✥❙✲❵❄❵✪❩✠❨❫❪●❉✼❴ ❆❛❵ ✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❑❊❋ ❋✠✉❈❇✠✉❆ ✉●❇ →❁❛✥❙✲❵❄❪✪❨❆❛❅❴✦❸✠❩✔⑥❯✧❯✧❵ ✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❑❊❋
❆ ❉ ➢▲➆✽➣❺→▲◗↕❱✩◗♠⑧❫➐✐➆✔➢q✈ ◗♠➜q◗✔⑧ ❋✠✉❈❇✠✉●❇ ➆✽⑨✠⑨✠❨❆❛✦❥✘⑦✦❯✝❴✦❛❅❴✚❻➅⑨✠❲✥❨❬❲✥❘s⑥❯✧❪✸❨❆❙✲❸✠❩✦❯✟✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❑✧■ ❋✠✉❈❇✠✉●❇✠✉❆ ➡✯❙❶❵③❪❬❛✥①❅❨❬❲✚❘⑩❘✝❯✐✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❑✧■ ❋✠✉❈❇✠✉●❇✠✉●❇ ◗✢❵③❪❬❙r❘⑩❲❏❪❬❯✒❩✠❨q❴✠❲②❙➒♥ ✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❑✧■ ❋✠✉❈❇✠✉●❇✠✉●❋ ◗✢❵③❪❬❙r❘⑩❲❏❪❬❯✒❩✠❨q⑨✠❲✚❨q❴✦❛❏t❅❲✥❩✦➂ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❑❊▲ ❋✠✉❈❇✠✉●❇✠✉❚■ ➐➑⑥❯✧❪✸⑦✦❛✦❜✠❯❃❜✜❩✟⑨✦❚r❩✦❵✻⑨✠❨P❛❅❥✧⑦✦❯✩④✥❛✚❙❶❵③❙❳❴ ✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❑❊▼ ❋✠✉❈❇✠✉●❇✠✉●❑ ➐➑⑥❯✧❪✸⑦✦❛✦❜✠❯❃❜✠❯✧❵✻❴✦❛❏t❅❲✥❩✦➂➓④❖❲✥❨❆❙r❲✥❢✦❚✲❯✧❵ ✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▲❊❉ ❋✠✉❈❇✠✉●❇✠✉●▲ ◗✢❵③❪❬❙r❘⑩❲❏❪❬❯✒❩✠❨❆❵✯❜✜❩✇❘⑩❲❏➂✦❙❳❘✝❩✠❘ ❜✠❯✖④❼❨③❲❏❙✲❵❬❯✒❘✝❢✦❚❳❲✚❴✦❥✧❯❿⑨♠⑥❯✒❴✠❲②❚❶❙✲❵✠⑥❯✧❯ ✉✽✉✽✉✖✉ ▲❊❉ ❋✠✉❈❇✠✉●❇✠✉●◆ ◗✢❵③❪❬❙r❘⑩❲❏❪❬❯✒❩✠❨❆❵❃⑨✠❲✥❨♠♥✣❛❅❴✦❥✧❪❬❙✲❛❅❴✦❵q❜✠❯✝⑨✠❛✥❙✲❜✠❵❃①❂⑥❯✒❴♠⑥❯✒❨❬❲❏❚✲❯✧❵➠✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▲❊❇ ❋✠✉❈❇✠✉●❇✠✉●▼ ◗✢❵③❪❬❙r❘⑩❲❏❪❬❯✒❩✠❨❆❵✯❪✸❨❆❛❅❴✦❸✠❩✔⑥❯✧❵ ✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▲❊❇ ❋✠✉❈❋ ⑧✠❩✠❨➁♥➫❲❏❥✧❯✽❜✠❯✖❜✠❙❶❵③❪✸❨❆❙r❢✠❩✦❪❬❙✲❛❅❴✦❵✽❜✠❯✽❜✠❙✲❵❬❪✸❨❆❙r❢✠❩✦❪❬❙✲❛❅❴✦❵ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▲❊❋ ❋✠✉❈❋✠✉ ❆ ⑧✠❩✠❨➁♥➫❲❏❥✧❯✖❜✠❯✩❜✠❯✒❴✦❵❬❙✲❪✠⑥❯✧❵q❜✠❯✽❜✠❙✲❵❬❪✸❨❆❙r❢✠❩✦❪❬❙✲❛❅❴✦❵✝✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▲✧■ ❋✠✉❏■ ➇⑤❛✦❴✦❥✧❚❳❩✦❵③❙❶❛✦❴ ✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▲✧■ ❬ ✺✛✂✁❲✣✦✲❙✶✭✴ ✄✢❭ ■✜✉❆ ✈➁❴✥❪✸❨P❛❅❜✜❩✦❥✧❪❬❙✲❛❅❴✐✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▲❊◆ ■✜✉❈❇ ❱✐⑥❯✪❷✱❴✦❙❶❪③❙❶❛✦❴❫❯✧❪✻⑨✠❨❆❛✦⑨✠❨❆❙✸⑥❯✧❪✠⑥❯✧❵✔❜✠❯✧❵❃❥✧❛❅⑨✠❩✦❚✲❯✧❵✻❢✦❙✲④❖❲✚❨❆❙✸⑥❯✧❯✧❵✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▲❊▼ ■✜✉❈❇✠✉ ❆ ➣♠❛❅❨❬❴✦❯✧❵✽❢✦❙✲④❖❲✥❨P❙✸⑥❯✧❯✧❵❄❜✠❯✽➛❁❨✦⑥❯✧❥✧⑦✦❯✧❪❆❻➅➡✯❛❅❯✆☎❞❜✠❙r❴✦① ✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ◆ ❆ ■✜✉❈❇✠✉●❇ ❪❆❻➅❴✦❛✦❨❬❘✝❯✧❵q❯✧❪q❥✧❛✦⑨✠❩✦❚❶❯✧❵✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ◆ ❆ ■✜✉❈❋ ❱✐⑥❯✪❷✱❴✦❙❶❪③❙❶❛✦❴❫❯✧❪✻⑨✠❨❆❛✦⑨✠❨❆❙✸⑥❯✧❪✠⑥❯✧❵✔❜✠❯✧❵❃❥✧❛❅⑨✠❩✦❚✲❯✧❵✻❘✝❩✦❚✲❪❬❙✲④❖❲✥❨P❙✸⑥❯✧❯✧❵❍✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ◆❊❋ ■✜✉❈❋✠✉❆ ➣♠❛❅❨❬❴✦❯✧❵✽❘✝❩✦❚✲❪❬❙✲④❖❲✥❨❆❙✪⑥❯✧❯✧❵❄❜✠❯✽➛❁❨❅⑥❯✧❥✧⑦✦❯✧❪❆❻➅➡✯❛❅❯✆☎❞❜✠❙r❴✦① ✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ◆❊◆ ■✜✉❏■ ➇⑤❛✦⑨✠❩✦❚❶❯✧❵✽➏✩❲✚❩✦❵❬❵❬❙✲❯✒❴✠❴✦❯✧❵➑✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ◆❊◆ ■✜✉❈❑ ➇⑤❛✦⑨✠❩✦❚❶❯✧❵❃❯✒❘⑩⑨✦❙r❨❆❙✲❸✠❩✦❯✧❵✟✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ◆❊▼ ■✜✉❈▲ ➇⑤❛✦⑨✠❩✦❚❶❯✧❵❃➆✽❨❆❥✘⑦✦❙r❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✧❵❤✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ◆❊ ■✜✉❈▲✠✉❆ ➇⑤❛✦⑨✠❩✦❚❶❯✧❵❃➆✽❨❆❥✘⑦✦❙r❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✧❵✺❇✴❻➫❜✠❙r❘✝❯✒❴✦❵❬❙✲❛❅❴✦❵ ✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ◆❊ ■✜✉❈▲✠✉●❇ ◗♦➂❅❯✒❘⑩⑨✦❚✲❯✧❵✽❜✠❯✽❥✧❛❅⑨✠❩✦❚✲❯✧❵✽➆✽❨❆❥✧⑦✦❙❳❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✧❵⑩✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼❊❇ ■✜✉❈▲✠✉●❇✠✉❆ ➛✱❲✚❘✝❙✲❚❶❚✲❯✝❜✠❯✽➆❃❚❶❙❡❻➫➐✐❙✄❅⑦✠❲②❙❶❚❡❻➅➡❃❲❏❸ ✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼❊❇ ■✜✉❈▲✠✉●❇✠✉●❇ ➛✱❲✚❘✝❙✲❚❶❚✲❯✝❜✠❯✩➏✽❯✒❴✦❯✧❵③❪❆❻➅➏✩⑦✦❛❅❩✦❜✠❙✹✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼❊❇ ■✜✉❈▲✠✉●❇✠✉●❋ ➛✱❲✚❘✝❙✲❚❶❚✲❯✝❜✠❯✽➛✱❨③❲✥❴ ✄ ✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼❊❇ ■✜✉❈▲✠✉●❋ ➇⑤❛✦⑨✠❩✦❚❶❯✧❵❃➆✽❨❆❥✘⑦✦❙r❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✧❵✩❘❿❩✦❚✲❪❬❙✲④❏❲✥❨❆❙✸⑥❯✧❯✧❵✝✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼❊❋ ■✜✉❈◆ ◗♦❵❬❪❬❙r❘⑩❲❏❪❬❙✲❛❅❴❫❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵❄➆✽❨❆❥✧⑦✦❙r❘➔⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✧❵✩❢✦❙✲④❖❲✥❨P❙✸⑥❯✧❯✧❵❍✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼✧■ ■✜✉❈◆✠✉❆ ◗♦❵❬❪❬❙r❘⑩❲❏❪❬❙✲❛❅❴➌❴✦❛❅❴✚❻➅⑨✠❲✥❨❬❲✚❘➔⑥❯✧❪✸❨P❙❶❸✠❩✦❯❃❜❞❝➒❩✠❴✦❯✩❥✧❛❅⑨✠❩✦❚✲❯✖➆✻❨❆❥✧⑦✦❙r❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✟✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼✧■ ■✜✉❈◆✠✉●❇ ◗♦❵❬❪❬❙r❘⑩❲❏❪❬❙✲❛❅❴➍❜❞❝➒❩✠❴✦❯✽❥✧❛❅⑨✠❩✦❚✲❯✝➆✻❨P❥✘⑦✦❙r❘s⑥❯✧❜✠❙❶❯✒❴✠❴✦❯⑩⑨✠❲✥❨⑤❘⑩❲②➂❅❙r❘✝❩✠❘ ❜✠❯✽④✠❨❬❲❏❙✲❵❬❯✒❘✝❢✦❚r❲✥❴✦❥✧❯ ▼❊▲ ■✜✉❈◆✠✉●❋ ◗♦❵❬❪❬❙r❘⑩❲❏❪❬❙✲❛❅❴➍❜❞❝➒❩✠❴✦❯✩❥✧❛✦⑨✠❩✦❚❶❯✖➆✻❨P❥✘⑦✦❙r❘s⑥❯✧❜✠❙❶❯✒❴✠❴✦❯⑩⑨✠❲✥❨ ➎✞✝✦➎ ❜✠❯ ✁❃❯✒❴✦❜✜❲②❚❶❚✹❛❅❩ ➎✠✟✦➎ ❜✠❯ ⑧✠⑨❉❯✒❲✥❨❬❘⑩❲✥❴ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼❊◆ ■✜✉❈◆✠✉●❋✠✉ ❆ ➇⑤❛✦❯✪➧❍❥✧❙✲❯✒❴✥❪❃❜✠❯✽❥✧❛❅❨❬❨✦⑥❯✧❚r❲❏❪❬❙✲❛❅❴❫❜✜❩ ✝ ❜✠❯ ✁❃❯✒❴✦❜✜❲❏❚✲❚❄✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼❊▼ ■✜✉❈◆✠✉●❋✠✉●❇ ➇⑤❛✦❯✪➧❍❥✧❙✲❯✒❴✥❪❃❜✠❯✽❥✧❛❅❨❬❨✦⑥❯✧❚r❲❏❪❬❙✲❛❅❴❫❜✠❯✩⑧✠⑨❉❯✒❲✥❨❬❘⑩❲✥❴ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ▼❊ ■✜✉❈▼ ◗♦❵❬❪❬❙r❘⑩❲❏❪❬❙✲❛❅❴❫❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵❄➆✽❨❆❥✧⑦✦❙r❘➔⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✧❵✩❘✝❩✦❚✲❪❬❙✲④❖❲✥❨❆❙✪⑥❯✧❯✧❵✡✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ■✜✉❈▼✠✉ ❆ ◗♦❵❬❪❬❙r❘⑩❲❏❪❬❙✲❛❅❴➦❜❞❝➒❩✠❴✦❯⑩❥✧❛❅⑨✠❩✦❚✲❯❫➆✻❨❆❥✧⑦✦❙r❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✇❘✝❩✦❚❶❪③❙❶④❏❲✥❨❆❙✪⑥❯✧❯❫⑨✠❲✥❨✩❘⑩❲②➂❅❙r❘✝❩✠❘ ❜✠❯ ④✠❨❬❲❏❙✲❵❬❯✒❘✝❢✦❚r❲✥❴✦❥✧❯✟✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ■✜✉❈▼✠✉❆ ✉❆ ❦✔❨P❯✒❘✝❙➀❣❯✒❨❆❯✩❘s⑥❯✧❪✸⑦✦❛✦❜✠❯✻⑨✠❲✥❨✯❘⑩❲❏➂✦❙❳❘✝❩✠❘ ❜✠❯✖④❼❨③❲❏❙✲❵❬❯✒❘✝❢✦❚❳❲✚❴✦❥✧❯✟✉✽✉✩✉✽✉✽✉✖✉ ❆ ■✜✉❈▼✠✉ ❆ ✉●❇ ❱✽❯✒❩✦➂✦❙➀❣❯✒❘✝❯✩❘s⑥❯✧❪✸⑦✦❛❅❜✠❯✩⑨✠❲✚❨q❘⑩❲❏➂✦❙r❘❿❩✠❘ ❜✠❯✽④❼❨❬❲②❙❶❵③❯✒❘❿❢✦❚r❲✥❴✦❥✧❯ ✉✩✉✽✉✽✉✖✉ ❊❇ ■✜✉❈▼✠✉❆ ✉●❋ ➢✹❨❆❛✥❙✲❵❬❙➀❣❯✒❘✝❯✩❘s⑥❯✧❪✸⑦✦❛✦❜✠❯✩⑨✠❲✥❨q❘⑩❲②➂❅❙r❘✝❩✠❘ ❜✠❯✽④✠❨❬❲❏❙✲❵❬❯✒❘✝❢✦❚r❲✥❴✦❥✧❯ ✉✩✉✽✉✽✉✖✉ ❊❋ ■✜✉❈▼✠✉●❇ ◗♦❵❬❪❬❙r❘⑩❲❏❪❬❙✲❛❅❴➦❜❞❝➒❩✠❴✦❯⑩❥✧❛❅⑨✠❩✦❚✲❯❫➆✻❨❆❥✧⑦✦❙r❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✇❘✝❩✦❚❶❪③❙❶④❏❲✥❨❆❙✪⑥❯✧❯✇⑨✠❲✥❨ ✝ ❜✠❯ ✁❃❯✒❴✦❜✜❲❏❚✲❚ ❯✧❪ ✟ ❜✠❯❿⑧✠⑨❉❯✒❲✥❨❬❘⑩❲✚❴✟✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❊❋ ■✜✉❈▼✠✉●❇✠✉❆ ❦✔❨P❯✒❘✝❙➀❣❯✒❨❆❯✩❘s⑥❯✧❪✸⑦✦❛✦❜✠❯✻⑨✠❲✥❨ ✝ ❜✠❯ ✁❃❯✒❴✦❜✜❲❏❚✲❚➞✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❊❋
➢❞➆✽➣⑤→❞◗ ❱✩◗✔⑧❫➐✐➆✔➢q✈ ◗♠➜q◗✔⑧ ❆❊❆ ■✜✉❈▼✠✉●❇✠✉●❇ ❱✽❯✒❩✦➂❅❙✣❣❯✒❘✎❯✩❘➔⑥❯✧❪✸⑦✦❛✦❜✠❯✩⑨✠❲✥❨ ✝ ❜✠❯ ✁❃❯✒❴✦❜✜❲②❚❶❚✢✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ✧■ ■✜✉❈▼✠✉●❇✠✉●❋ ❦✔❨❆❯✒❘✝❙✣❣❯✒❨❆❯✩❘s⑥❯✧❪✪⑦✦❛❅❜✠❯✽⑨✠❲✥❨ ✟ ❜✠❯✩⑧✠⑨✠❯✒❲✥❨③❘⑩❲✥❴➟✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ✧■ ■✜✉❈▼✠✉●❇✠✉❚■ ❱✽❯✒❩✦➂❅❙✣❣❯✒❘✎❯✩❘➔⑥❯✧❪✸⑦✦❛✦❜✠❯✩⑨✠❲✥❨ ✟ ❜✠❯❿⑧✠⑨✠❯✒❲✚❨❬❘⑩❲✥❴ ✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❊❑ ■✜✉❈ ➇⑤❛❅❴✦❥✧❚r❩✦❵❬❙✲❛❅❴ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❊❑ ❯ ✶✼✥✧✛✦✾✹ ✁✵✛❀✴✖★✩✗✚★❙✛✦✕✍✜✦✶ ✾ ✶✼✲✩✰✱✕✱◗✘✶❘✜✪✶❘✥✧✛✹ ✁✤✣✢✲❙✶✼✴ ❅✱❭ ❑✠✉❆ ✈➫❴✚❪✸❨❆❛✦❜✜❩✦❥✧❪❬❙✲❛❅❴✐✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❊◆ ❑✠✉❈❇ ❍ ❢✦➄❆❯✧❪❬❵q❵❬t✠❘✝❢✠❛✥❚✲❙✲❸❼❩✦❯✧❵✩❲②❵❬❵❬❛✦❥✧❙✸⑥❯✧❵✩❣❲⑩❩✠❴✇❯✒❴✦❵❬❯✒❘✝❢✦❚✲❯✩❜✠❯➝♥➀❛✦❴✦❥✧❪❬❙✲❛❅❴✦❵q❜✠❯❿❨✦⑥❯✒⑨✠❲✥❨❆❪③❙❶❪③❙❶❛✦❴ ✉✽✉✽✉✩✉ ❊ ❑✠✉●❇✠✉ ❆ ❍ ❢✦➄❆❯✧❪q❵❬t✠❘✝❢✠❛✥❚✲❙✲❸✠❩✦❯❿⑨✠❲✥❨⑤④✚❛✥❚r❩✠❘✝❯✩❜❞❝➒⑦✚t✠⑨✠❯✒❨➁❻➫❥✒❩✠❢❉❯ ✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉❊❉ ❑✠✉●❇✠✉❈❇ ❍ ❢✦➄❆❯✧❪q❵❬t✠❘✝❢✠❛✥❚✲❙✲❸✠❩✦❯❿⑨✠❲✥❨⑤❜⑤⑥❯✒❨❆❙✲④✔⑥❯✧❯✽❜✠❯✽❥✧❛❅⑨✠❩✦❚✲❯ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉ ❆ ❑✠✉❈❇✠✉●❇✠✉ ❆ ❦✢❲✥❨♠❜✠❯✒❴✦❵❬❙✲❪❼⑥❯✝❴✦❛❅❨❬❘s⑥❯✧❯ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉ ❆ ❑✠✉❈❇✠✉●❇✠✉●❇ ❦✢❲✥❨♠❙❳❴✚❪✠⑥❯✧①❅❨❬❲❏❪❬❙✲❛❅❴➓❜✠❯✩❜✠❯✒❴✦❵③❙❶❪✠⑥❯❍✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉❊❇ ❑✠✉●❇✠✉❈❋ ❍ ❢✦➄❆❯✧❪q❵❬t✠❘✝❢✠❛✥❚✲❙✲❸✠❩✦❯❿⑨✠❲✥❨⑤❜✠❙✲❵❬❪✪❲✥❴✦❥✧❯✩❯✒❴✚❪✸❨❆❯❃♥✣❛❅❴✦❥✧❪❬❙✲❛❅❴✦❵❃❜✠❯✩❨✦⑥❯✒⑨✠❲✚❨❆❪❬❙✲❪❬❙✲❛❅❴✖➄❆❛✥❙r❴✥❪❬❯✧❵ ✉ ❆ ❉❊❇ ❑✠✉❈❋ →❁❯✩❥✧⑦✦❛✥❙✲➂✇❜✠❯✧❵✂✁☎✄➑✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉❊❋ ❑✠✉●❋✠✉ ❆ ➐ ❯✧❪✪⑦✦❛❅❜✠❯❃❜✠❯✧❵q❪✸❨❆❙r❲✥❴✦①✚❚❶❯✧❵⑥ ✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉❊❋ ❑✠✉●❋✠✉❈❇ ❦✢❲✥❨♠❯✧❵❬❪③❙❳❘➓❲❏❪❬❙✲❛❅❴❫❜✠❯✩❜✠❯✒❴✦❵③❙❶❪✠⑥❯✽❯✧❪q❵✸❩✠❨➅♥➩❲❏❥✧❯✽❜✠❯✖❜✠❯✒❴✦❵❬❙✲❪✠⑥❯✧❵✇✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉❊❑ ❑✠✉❏■ ❱▼⑥❯✧❥✧❛❅❘➓⑨✠❛✥❵❬❙✲❪❬❙✲❛❅❴❫❜✠❯✝❘s⑥❯✧❚r❲✥❴✦①✚❯❄❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵✎❾ ❇❖❻➫❱✩➃➔✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉❊▲ ❑✠✉❚■✜✉❆ ❱✐⑥❯✧❥✧❛❅❘⑩⑨✠❛✚❵❬❙✲❪❬❙✲❛❅❴ ❜✠❯✡❘s⑥❯✧❚❳❲✚❴✦①✥❯✟❜✠❯✐❥✧❛❅⑨✠❩✦❚✲❯✧❵✇➆✽❨❆❥✘⑦✦❙r❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✧❵▼⑨✠❲✥❨❫❲✥⑨✠⑨✠❨❆❛✦❥✘⑦✦❯ ❥✧❚r❲❏❵❬❵③❙➒❷✜❥✒❲②❪❬❙✲❛❅❴ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❉❊◆ ❑✠✉❚■✜✉❈❇ ❱✐⑥❯✧❥✧❛❅❘⑩⑨✠❛✚❵❬❙✲❪❬❙✲❛❅❴⑩❜✠❯✝❘s⑥❯✧❚r❲✥❴✦①✚❯✽❜✠❯✽❥✧❛❅⑨✠❩✦❚✲❯✧❵✽➆✻❨❆❥✧⑦✦❙r❘s⑥❯✧❜✠❙✲❯✒❴✠❴✦❯✧❵✽⑨✠❲✥❨q◗♦➐ ✉✽✉✽✉✩✉ ❆ ❉❊ ❑✠✉❚■✜✉❈❋ ➐ ❯✧❚r❲✥❴✦①✚❯❄❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵✻⑨✠❲✥❨✯⑧✠◗✢➐⑥ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ❉ ❑✠✉❚■✜✉❏■ ➐ ❯✧❚r❲✥❴✦①✚❯❄❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵✻⑨✠❲✥❨✯⑧✦➆✻◗♦➐⑥ ✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆❊❆ ❑✠✉❚■✜✉❈❑ ➐ ❯✧❚r❲✥❴✦①✚❯❄❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵✻⑨✠❲✥❨➈➐➦➇✯◗✢➐⑥ ✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆❊❆ ❑✠✉❚■✜✉❈▲ ➐ ❯✧❚r❲✥❴✦①✚❯❄❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵✻⑨✠❲✥❨✯➇q◗✢➐⑥ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ❇ ❑✠✉❚■✜✉❈◆ ❱✐⑥❯✧❥✧❛❅❘⑩⑨✠❛✚❵❬❙✲❪❬❙✲❛❅❴⑩❜✠❯✝❘s⑥❯✧❚r❲✥❴✦①✚❯✽❜✠❯✽❥✧❛❅⑨✠❩✦❚✲❯✧❵✽❯✒❘⑩⑨✦❙r❨❆❙✲❸❼❩✦❯✧❵s✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ❇ ❑✠✉❈❑ ❱▼⑥❯✧❥✧❛❅❘➓⑨✠❛✥❵❬❙✲❪❬❙✲❛❅❴✦❵✯❯✒❴✇❜✠❙r❘✝❯✒❴✦❵❬❙✲❛❅❴➌❴ ✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ❋ ❑✠✉●❑✠✉❆ ➇⑤❛✦⑨✠❩✦❚❶❯✧❵❃❘❿❩✦❚✲❪❬❙✲❜✠❙r❘✝❯✒❴✦❵❬❙✲❛❅❴✠❴✦❯✧❚✾❚r❯✧❵ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ❋ ❑✠✉●❑✠✉❈❇ →❞❲➓❘➔⑥❯✧❪✸⑦✦❛✦❜✠❯✽⑨✠❲✥❨⑤❥✧❛❅❩✠⑨✦❚r❲❏①✥❯ ✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ■ ❑✠✉●❑✠✉❈❋ ➐ ❯✧❪✪⑦✦❛❅❜✠❯✽⑨✠❲✥❨q❲✥❨③❢✠❨❆❯✩❢✦❙r❴✠❲❏❙r❨❆❯✇✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉⑥ ❆❊❆ ❑ ❑✠✉❈▲ ✈➫❴✚♥❖⑥❯✒❨❆❯✒❴✦❥✧❯✖✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ▲ ❑✠✉❈◆ ➇⑤❛❅❴✚④✥❯✒❨❆①✥❯✒❴✦❥✧❯✽❜✠❯✖❚✣❝➒❲❏❚✲①✥❛❅❨❆❙✲❪✸⑦✠❘✎❯✩⑨✠❲✥❨q❴✦❩✔⑥❯✧❯✧❵q❜✠t✠❴✠❲✥❘✝❙✲❸✠❩✦❯✧❵❤✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ▲ ❑✠✉❈▼ ➇⑤❛❅❘⑩⑨❉❛❅❨❆❪❬❯✒❘✎❯✒❴✥❪q❲❏❵❬t✠❘⑩⑨✦❪❬❛✚❪❬❙✲❸❼❩✦❯ ✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆❊❆ ▼ ❑✠✉❈ ❱▼⑥❯✧❥✧❛❅❘➓⑨✠❛✥❵❬❙✲❪❬❙✲❛❅❴❫❜✠❯✝❘s⑥❯✧❚r❲✥❴✦①✚❯❄❜✠❯✖➛✢❱✽❱➤✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❇❊❉ ❑✠✉ ❆ ❉ ➏✐⑥❯✒❴✔⑥❯✒❨❬❲❏❚✲❙✲❵✸❲❏❪③❙❶❛✦❴⑩❜✠❯✖❚❳❲✎❜❺⑥❯✧❥✧❛❅❘⑩⑨❉❛✥❵❬❙✲❪❬❙✲❛❅❴➍❜✠❯✩❘➔⑥❯✧❚r❲✥❴✦①✥❯✽❜✠❯✖❜✠❯✒❴✦❵❬❙✲❪✠⑥❯✧❵✖✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❇❊❇ ❑✠✉ ❆ ❉❉✉ ❆ ❦♠❨❆❛❅⑨✠❨❆❙✪⑥❯✧❪✠⑥❯✧❵✔❜❞❝❡❩✠❴✦❯❿❢✠❲❏❵❬❯✽❜✠❯✽❜✠❙✲❵❬❪✪❨❆❙r❢✠❩✦❪❬❙✲❛❅❴✦❵✽❜✠❯❿❘⑩❲②❵❬❵❬❯✩❩✠❴✦❙✲❪✸❲❏❙r❨❆❯➟✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❇❊❇ ❑✠✉❆ ❉❉✉●❇ →❁❯✩❘s⑥❯✧❚r❲✥❴✦①✥❯✽❜✠❯✖❜✠❯✒❴✦❵❬❙✲❪❼⑥❯✧❵q❥✧❛✦❘⑩❘✝❯✽❥✒❲❏❵❄⑨✠❲✚❨❆❪❬❙✲❥✒❩✦❚✲❙❶❯✒❨❃❜✜❩➌❘s⑥❯✧❚r❲✥❴✦①✚❯❄❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵▼✉ ❆ ❇✧■ ❑✠✉❆❊❆ ➇⑤❛❅❴✦❥✧❚r❩✦❵❬❙✲❛❅❴✦❵➟✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❇❊❑ ✄ ✮ ✁ ✁ ✲❁★❁✥✧✰✼✗✚★✩✛✪✕❳✥❊✲❁★✾ ✰✼✗✚★❁❂✵✣❀✶ ✫ ❖ ❭ ▲✠✉❆ ✈➫❴✚❪✸❨❆❛✦❜✜❩✦❥✧❪❬❙✲❛❅❴✐✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❇❊◆ ▲✠✉❆ ✉❆ →❞❲✖❨✦⑥❯✒❲✚❴✠❲❏❚✲t❅❵❬❯⑤❜✠❯q❜✠❛✦❴✠❴✔⑥❯✧❯✧❵✔❵✪❲❏❪❬❯✧❚✲❚✲❙❶❪✪❲❏❙r❨❆❯✧❵q❽ ❍ ➆❄➆✝✆✥➢ ❍ ➯✽⑧⑩❜✠❯ ❆ ❊◆❊⑩❣❲✽❴✦❛✥❵▲➄➅❛❅❩✠❨P❵ ❣❲✖❜✠❯✧❵✯❷✱❴✦❵❄❜❞❝❆⑥❯✧❪✸❩✦❜✠❯❃❜✜❩✇❥✧❚✲❙r❘⑩❲❏❪✌✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❇❊▼ ▲✠✉❆ ✉❈❇ →❁❯✧❵✯❜✠❛❅❴✠❴✔⑥❯✧❯✧❵q❥✧❚✲❙r❘⑩❲❏❪③❙❶❸✠❩✦❯✧❵ ✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❋ ❆ ▲✠✉❈❇ ➇⑤❚r❲❏❵❬❵❬❙❡❷✜❥✒❲❏❪③❙❶❛✦❴✟⑨✠❲✥❨⑤❜⑤⑥❯✧❥✧❛❅❘⑩⑨❉❛✥❵❬❙✲❪❬❙✲❛❅❴✇❜✠❯✩❘s⑥❯✧❚r❲✥❴✦①✥❯✽❜✠❯✖❥✧❛❅⑨✠❩✦❚✲❯✧❵q❻❺◗♦➂❅❯✒❘⑩⑨✦❚✲❯✝❜✠❯✺◆✝❥✧❚r❲❏❵❬❵③❯✧❵ ❆ ❋ ❆ ▲✠✉●❇✠✉❆ ➇⑤❚r❲❏❵③❵❬❙❡❷✜❥✒❲❏❪❬❙✲❛❅❴✇❯✒❴❫❪③❯✒❘⑩⑨✔⑥❯✒❨❬❲②❪✸❩✠❨❆❯ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉ ❆ ❋❊❇
❆ ❇ ➢▲➆✽➣❺→▲◗↕❱✩◗♠⑧❫➐✐➆✔➢q✈ ◗♠➜q◗✔⑧ ▲✠✉❈❇✠✉●❇ ➇⑤❚r❲❏❵③❵❬❙❡❷✜❥✒❲❏❪❬❙✲❛❅❴➌❯✒❴✇⑦❅❩✠❘✎❙❶❜✠❙✲❪✠⑥❯ ✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ❋❊▲ ▲✠✉❈❇✠✉●❋ ➜❫⑥❯✧❵✸❩✦❚✲❪✸❲❏❪q❜✠❯✖❱✽➐✡➇❤⑨✠❲✚❨⑤❥✧❛❅❩✠⑨✦❚r❲❏①✥❯ ✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ■✻❉ ▲✠✉❈❋ ✈➁❴✚♥❖⑥❯✒❨❆❯✒❴✦❥✧❯✩❜✠❯✽❱✽➐✡➇ ✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ■✻❋ ▲✠✉❏■ ➜❫⑥❯✧❵✸❩✦❚✲❪✸❲❏❪❬❵✯❥✧❛❅❘⑩⑨✦❚✸⑥❯✒❘✝❯✒❴✚❪✸❲❏❙r❨❆❯✧❵❃⑨✠❲✥❨⑤❱✽➐✡➇ ❻❺◗✢➂✦❯✒❘⑩⑨✦❚✲❯❿❜✠❯ ❆ ▼✝❥✧❚r❲❏❵❬❵❬❯✧❵ ✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ■✻❑ ▲✠✉❈❑ ➇⑤❚r❲❏❵③❵❬❙❡❷✜❥✒❲❏❪❬❙✲❛❅❴✟❘✎❙❶➂✦❪❬❯✝✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ❑❊❋ ▲✠✉❈❑✠✉ ❆ →❞❲❫❘s⑥❯✧❪✸⑦✦❛❅❜✠❯❃❜✠❯✧❵ ➎ ❽❄❩♠⑥❯✧❯✧❵⑤❱✽t❼❴✠❲✥❘✎❙❶❸✠❩✦❯✧❵ ➎ ❾✣❽✯❱✩➃✐✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ❑❊❑ ▲✠✉❈❑✠✉●❇ ➆❃❚✲①✥❛❅❨❆❙✲❪✸⑦✠❘✝❯✖❜✠❯✧❵❄④✚❛✥❙✲❵❬❙r❴✦❵✻❨✦⑥❯✧❥✧❙r⑨✠❨❆❛❅❸✠❩✦❯✧❵➟✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ❑❊▲ ▲✠✉❈❑✠✉●❋ ➜❫⑥❯✧❵✸❩✦❚✲❪✸❲❏❪❬❵ ✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ❑❊◆ ▲✠✉❈❑✠✉❚■ ➯✔❲✥❨P❙❳❲✚❢✦❚❶❯✧❵✽❜✠❙✲❵❬❥✒❨P❙❳❘✎❙❳❴✠❲✚❴✥❪❬❯✧❵➞✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ❑❊ ▲✠✉❈❑✠✉●❑ ➇⑤❚r❲❏❵③❵❬❙❡❷✜❥✒❲❏❪❬❙✲❛❅❴✐❘✝❙✲➂❅❪③❯✽❵✸❩✠❨⑤④❖❲②❚❶❯✒❩✠❨P❵✽❜✠❯❃♥➀❛❅❴✦❥✧❪③❙❶❛✦❴✦❵❄❜✠❯✩❨✦⑥❯✒⑨✠❲✥❨❆❪❬❙✲❪❬❙✲❛❅❴✐✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ▲ ❆ ▲✠✉❈▲ ➇⑤❚r❲❏❵③❵❬❙❡❷✜❥✒❲❏❪❬❙✲❛❅❴✟⑨✠❲✚❨q◗✢➐ ✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ▲❊❋ ▲✠✉❈▲✠✉❆ ➇⑤❚r❲❏❵③❵❬❙❡❷✜❥✒❲❏❪❬❙✲❛❅❴➌❵✸❩✠❨⑤❚✲❯✧❵❃❜✠❛❅❴✠❴✔⑥❯✧❯✧❵❄❴✦❩✠❘s⑥❯✒❨❆❙✲❸❼❩✦❯✧❵❄❢✠❨③❩✦❪❬❯✧❵ ✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ▲✧■ ▲✠✉❈▲✠✉●❇ ➇⑤❚r❲❏❵③❵❬❙❡❷✜❥✒❲❏❪❬❙✲❛❅❴✐⑨✠❲✥❨q◗♦➐ ❵✸❩✠❨✯❚✲❯✧❵q④❖❲❏❚✲❯✒❩✠❨❆❵✽❜✠❯❃♥✣❛❅❴✦❥✧❪❬❙✲❛❅❴✦❵❃❜✠❯✩❨✦⑥❯✒⑨✠❲✥❨❆❪❬❙✲❪❬❙✲❛❅❴✐✉✽✉✽✉✖✉ ❆ ▲❊❑ ▲✠✉❈◆ ➇⑤❛✦❴✦❥✧❚❳❩✦❵③❙❶❛✦❴ ✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ▲❊◆ ❭ ✶✼✙✧✴ ✁✵✶✼✥✧✗✚★✂✁✱✶✼✴ ✫ ✄ ❅ ✺✛✪✕✢✥❊✲ ✣✦✴✚★❙✛✦✕ ✫✘❭✼✬ ✄ ★❃✿✵✲❁★✩✛ ◗❀✙✖✰ ✁✆☎✦★❙✶ ✫✘❭ ❭ ✮ ✮❱✙✖✗✚★❁✥❊✲✩✶✞✝✆✟✡✠❀✳❲✾ ✿✵✛❀✲❁★❃✥ ✏✲✩✰✘✴✖✴ ❯ ✶✼✴✚✥ ✙❩★✁✪✗✚★✩✛✪✕✢✴☛✟ ✫✌☞ ➆✝✉❆ ✈➁❴✥❪✸❨P❛❅❜✜❩✦❥✧❪❬❙✲❛❅❴✐✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ▼❊◆ ➆✝✉●❇ ➢q⑦✦❯✽➐✐❯✧❪✸⑦✦❛✦❜➔✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ▼❊▼ ➆✝✉●❋ ◗♦➂❼❲✥❘➓⑨✦❚❶❯✧❵✡✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ❊❇ ➆✝✉❚■ ➇⑤❛✦❴✦❥✧❚❳❩✦❵③❙❶❛✦❴ ✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✽✉✩✉✽✉✽✉✩✉✽✉✽✉✖✉✽✉✩✉✽✉✽✉✖✉ ❆ ❊❋ ✄ ✮❱✙✖✗✚★❁✥❊✲✩✶✞✝✍✟ P ★✂✎✦✗✧✣✦✙✖✶ ✜✦✶✼✥✧✛✦✾ ✁✵✛❀✴✖★✩✗✚★❙✛✦✕ ✛✑✏ ✥✧✛ ✁✤✣✢✲❙✰✘✴ ✰✱✕✦✜ ✰ ✁ ✁✵✲❁★❃✥✧✰✼✗✚★❙✛✦✕✒✗✷✛ ✥❊✲❙✳❲✾ ✰✼✗✷✛✑✒ ✲❙✛✘◗ ✳✓✟ ✫✭❅ ✺✰✘✙✖✗✷✶✼✴ ✶ ✗✽◗❀✙✖✰ ✁✔☎✢★❁❂✵✣✱✶✭✴ ❖✑✕ ✖ ✰✘✿ ✲❙✶ ✜✪✶✭✴✘✗❄◗✪✣✢✙✖✶✼✴ ❖✘❖ ✙ ★❁✴✷✗✷✶ ✜✦✶✼✴ ✗✷✰✘✿✵✲✩✶ ✰✱✣✚✎ ❖✘❖ ❭