HAL Id: tel-00001144
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Submitted on 26 Feb 2002
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Chaos en dynamique topologique, en particulier sur
l’intervalle, mesures d’entropie maximale
Sylvie Ruette
To cite this version:
Sylvie Ruette. Chaos en dynamique topologique, en particulier sur l’intervalle, mesures d’entropie
maximale. Mathématiques [math]. Université de la Méditerranée - Aix-Marseille II, 2001. Français.
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★✪✩✬✫✌✭✯✮✱✰✯✲ ✳✵✴✶✳✌✷✹✸ ✫✻✺ ✳✌✼ ✫ ✳✌✷✽✴✶✳✿✾ ✭✯❀❁✺ ✼✣❂ ❃✽❄❆❅ ✳❇✷❈✳ ❉❋❊ ✭✶● ❊✬❍ ✰ ✳❇✼ ✺■●❏✮ ✳✵❑ ●▲✩ ✴✶✳▼✴✶✳ ◆P❖❆◗✬❘❚❙❱❯✟❲❨❳☞❙❬❩❪❭✱❫❵❴☞❛✝❜✛❙❱❲❞❝❇❛✝❘✟❡❙❣❢❤❛❥✐❆❦▲❧ ♠✯❲❞❝❇❙❱❛✢❩♥❩✎❙♣♦❇♦ q✖r ❡ ❙✣◗✣❛✢♠✪❩✢❛✝❘✟❡❙✓st❧ ♠✉❘❚✈✑❡❙❱✇①♠✉❘❚❛✎②✖❯✟❙✣❝ ✷ ❊ ✭✉✰ ✳✌✼ ✭ ✳ ✮ ✳④③⑥⑤⑦✼ ❊❚⑧ ✳ ❀ ❍ ● ✳⑨③⑥⑩❶⑩✯❷ ❉ ✩❸● q❆❹ ❩✝❜☎❛✎❙❬❺⑦❫P❻▼❼④❼✿❻ ❽ ❾ ❿①➀✦➁ ➂❣➃ ➄➆➅ ➃ ❿➈➇ ➉✶➊➌➋ ➂ ➍✿➀➏➎ ➀➑➐➒➀➔➓→➉✶➊➌➋ ➂✦➣ ➂↔➃ ➎ ❿➙↕⑨➍✑➉✶➛❵➋ ➐✯➉➒➂❬↕ ➁✂➋ ↕ ➐☎➜❸➉✯➃✦➍✿➂♣↕✿➝➙❿✓➐✯➐➒➂➏➣ ➇ ➂♣➁✿➋ ↕④➂♣➁ ➄ ➜❚➂↔➃✦➍✂↕④➀✦➎ ➉➒➂ ➇ ❿❣➞ ➉✯➇ ❿✓➐➒➂ ➟➡➠❚➢➥➤➦❪➧➨➟❈➩✻➫➭➧➨➯❇➦➥➧❆➢➲➟➡➠❇➠⑥➳➵➢✢➸➲➦❪➺❚➢➻➧t➼ ➽✿➾➪➚✯➶ ➫✣➹t➘✤➴☞➷❇➬ ➚✡➮ ➽✿➾➪➱ ➦➥➢♥✃❞➟➡➢♥➯▼➷❚❐❋❒ ➽✹❮✝❰Ï❰ ➯❚➦❪➩▲➟➡✃✘➸ ➶ ➦✛Ð♥➺❚➢✢Ñ✽Ò➥➳➡ÓÔ➠❸➳➵➧✻Õ➦t➯❚➦Ö➼ ➽✿➾➪× ➢➲➟➡✃✉ØÒ❪➳➵➫Ù➧ ➱ ➘✣➴☎➬✟❐❋❒➨➴ ➮➨ÚÜÛ ➯❚➫Ù➢♥➦➥Ò❪➸➻➦➥➺❚➢Ï➯❇➦Ý➸➻Þ✤➤➦➥➧♥➦ ➽✿➾❸ß Õ ➦➥➢áà➳➵ÓÔ➦ ➱ãâ✟ä✤ä✬❮ ➽✿➾ ➴ ➶➭å ➦❪➢♥➸ × ➴ ❰ ❒ ❮ ➽✿➾➪➱ ➦➥➢♥✃❞➟➡➢♥➯æ❒☎çÝ➷ ❰ ➽✿➾➪➱ ➦➥➢♥✃❞➟➡➢♥➯▼➷❚❐❋❒ ➽✹❮✝❰Ï❰ ➽✿➾ ❰❆➮ â☎➱❋➚✯❰➨ä❶é
✁✄✂✆☎✞✝✄✟✡✠✡☛✌☞✎✍✞✂✆☛✑✏✒☛✌✓✔✍✕✍✞✝✄✟✖✍✗✂✙✘✛✚✡✜✢☞✎✣✤✂✥✜✦✣✧☛★✜✩✂✑✪✙✝✄✓✡✓✡☛✌☞✎☎✫☎✩☛✌✓✡✪✙✂✭✬☛✯✮✡✜✩☛✌✓✱✰✪✙✝✄☞✎☎✕✲✴✳✎☛✌✓✡✪✩✠✵☛✒✜✩✶✸✷✹✁✖✺✻☛✌☞✔✼✽✂✑☛✌✟✡✪✙✝✄✟✖✚✾☛✒✚✡✚✵✜✛✿✂✑✪✥☞✢✿✂ ✶✸✺✻☛✹✏✌✝✄☞❀✜❁✟✵✓✖✂✾✍✞✜✑✬✂✑☎❁❂✌✜✩☛✌✓✡✶✡✂✾✳✎☞❀✼✽✂✥✜✫✍✛✿✂❄❃✛✟✡☛✌✓❅✍❆☛✌✟❇✘❈✪✢✠✖✝✄☞❉✘❈✶✖✂❄✣✤✂✑☎❊✍✫✠✸✬✂✑✣✧✂✑☎❁✶✡✂✾✜✫✂✑✪✢✠✖✂✥✜✩✪✩✠✡✂❄✂✥✍✧✬☛❋✳●✺❍✝✌✜✩❂✄☛✌✓✡☞✎☎✫☛✒✍✫☞❀✝✄✓■✶✖✂ ✣✤✝✄✓❈✍✞✜✩☛✑✏✒☛✌☞✎✳●✷❏✁✄✂✾✍✫☞❀✂✑✓✵☎❑✬☛✧✳❀✂✾✜✫✂✑✣✤✂✥✜✩✪✥☞❀✂✥✜❆✚✽✝✄✟✖✜❊☎✫☛▲✪✙✝✄✓✖▼✵☛✌✓✡✪✙✂❑☎✫☛✌✓✡☎✯◆❖☛✌☞✎✳✎✳✎✂❁✂✥✍❁☎✫☛❋✶✵☞✎☎✞✚✽✝✄✓✡☞❀✼✵☞P✳✎☞❀✍❅✿✂✌◗✛☛✌☞P✓✡☎✫☞✸❃✛✟✖✂❘✚✽✝✄✟✖✜ ✳❀✂✑☎✆✝✌✜✩☞❀✂✑✓❅✍✫☛✒✍✫☞❀✝✄✓✡☎✆☎✩✪✥☞❀✂✑✓✔✍✫☞✎▼✵❃❅✟✡✂✑☎❙❃❅✟✦✺✻☞✎✳✡✣❚✺✻☛❄☎✫✟✖❂✌❂✗✿✂✥✜✛✿✂✥✂✑☎✥✷❏❯❁✺❍✂✑☎✞✍❱☛✑✏✌✂✑✪❁✟✡✓✧✜❇✿✂✥✂✑✳❏✚✵✳✎☛✌☞P☎✫☞❀✜❲❃❅✟✡✂❲❳✥✺✻☛✌☞✡✚✡✜❇✿✂✥✚✵☛✒✜❇✿✂✭✣✧☛❨✍✫✠✸✬✂✑☎✫✂ ☎✞✝✄✟✡☎❊☎✫☛✧✶✡☞❀✜✩✂✑✪✙✍✫☞❀✝✄✓✸✷ ✁✄✂❘☎✫✟✡☞✎☎❱✍✞✜✑✬✂✑☎❊✠✡✝✄✓✖✝✌✜✛✿✂✥✂❄❃✛✟✖✂❨✲❱✂✥✜✩✓✡☛✒✜✩✶■❩✖✪✩✠✡✣✧☞✎✍✞✍❱✂✥✍✯❬❭✳✎☞❫❪✭✳✎☛✌☎✩✓✖✂✥✜✯☛✌☞❀✂✑✓❅✍✯☛✌✪✥✪✙✂✥✚✡✍❅✿✂❑✳✎☛❴✪✢✠✡☛✒✜✫❂✌✂❄✶✡✂❁✜✢☛✒✚✡✚✽✝✌✜✫✍✞✂✑✟✖✜✑✷ ✁✄✂❵✜✩✂✑✣✤✂✥✜✩✪✥☞❀✂❵✚✡✜✫✝✌◆❛✝✄✓✡✶❱✿✂✑✣✤✂✑✓❅✍❋✁✕✿✂✥✜❝❜✝✄✣✤✂❚✲✴✟✖❞✥❞✑☞✴✂✥✍✤✲❱✂✥✜✩✓✡☛✒✜✩✶❢❡❆✝✄☎✞✍✤✚✽✝✄✟✖✜❴✳❀✂✑✟✖✜❴✪✙✝✄✳✎✳✎☛✒✼✽✝✌✜✩☛✒✍✫☞❀✝✄✓❣✂✥✍✤✳●✺✻☞✎✓❅✍❅✿✂✥✜✥❜✂✥✍ ❃✛✟✸✺✻☞✎✳✎☎❱✝✄✓❅✍✯✚✽✝✌✜✫✍❅✿✂❤✬☛✤✣✤✂✑☎❊✍✞✜✩☛✑✏✒☛✌✟❇✘✽◗✵☛✌☞✎✓✡☎✫☞✸❃✛✟✖✂❨✚✽✝✄✟✖✜✯☛✹✏✌✝✄☞❀✜❆☛✌✪✥✪✙✂✥✚✡✍✛✿✂❴✶✖✂❨◆❖☛✌☞❀✜✫✂❨✚✵☛✒✜✫✍✫☞✎✂❘✶✖✂❘✣✤✝✄✓❑❳✫✟✖✜✫✐✌✷ ❥■☛❋✜✩✂✑✪✙✝✄✓✡✓✡☛✌☞✎☎✫☎✩☛✌✓✡✪✙✂✾✏✒☛❦✬☛▲❧❆✳❀✼✽✂✥✜✫✍❆✮✡☛✒✍✫✠✡☞●◗♠✶✖✝✄✓✔✍✭✳❀✂✾✪✙✝✄✟✡✜✩☎❆✶✡✂✾☎✞✐❇☎✞✍✙✬✂✑✣✤✂✑☎❨✶✖✐❇✓✡☛✌✣✧☞✎❃✛✟✖✂✑☎✯✣❚✺✻☛▲☞✎✓✡✪✥☞❀✍✛✿✂❚✬☛❋◆❖☛✌☞❀✜✫✂ ✟✡✓✖✂▲✍✫✠✽✬✂✑☎✞✂❤☎✫✟✖✜❄✪✙✂❤☎✫✟❝❳✞✂✥✍✥◗❫✂✥✍❴❃✛✟✡☞✆✣❚✺✻☛✧❳✫✟✡✶✡☞✎✪✥☞❀✂✑✟✵☎✞✂✑✣✤✂✑✓❅✍❨✝✌✜✩☞❀✂✑✓❅✍❅✿✂✥✂❤✏✌✂✥✜✩☎❴✳●✺❍♥✞❥■♦❙✷✕✁✄✂▲☎✫✟✵☞✎☎❘✠✖✂✑✟✖✜✩✂✑✟✡☎✞✂▲❃✛✟✸✺✻☞✎✳✆☎✞✝✄☞❀✍ ✣✤✂✑✣❄✼✡✜✫✂❘✶✖✂❘✣✧✝✄✓❑❳✞✟✡✜✫✐✌✷ ✁✄✂❱✜✩✂✑✣✤✂✥✜✩✪✥☞❀✂❵✿✂✥❂✄☛✌✳❀✂✑✣✤✂✑✓❅✍❱❩✛✂✥✜✩❂✌✂✴♣✗✜✫✝✄✟✖✼✽✂✥✍✞❞✥q✌✝r✐❴❃✛✟✡☞✛✚✵☛✒✜✫✍✫☞P✪✥☞❀✚✽✂❭☛✭✪✙✂✕❳✞✟✡✜✫✐❘✂✥✍❙☎✥✺❍✂✑☎✞✍❙☞P✓✔✍✛✿✂✥✜✫✂✑☎✫☎✛✿✂❴✬☛❨✣✤✂✑☎✱✍✞✜✩☛✑✏✒☛✌✟❇✘✽✷ ✁✡✺✻☛✌✶✖✜✫✂✑☎✫☎✞✂❵✣✤✂✑☎❘✜✩✂✑✣✤✂✥✜✩✪✥☞❀✂✑✣✤✂✑✓❅✍✫☎❚✬☛❈❧❁✳❀✂s❳✞☛✌✓✵✶✖✜✫✝❈❥■☛✌☛✌☎✫☎❑✚♠✝✄✟✡✜✾☎✞✝✄✓t☛✌✪✥✪✥✟✡✂✑☞✎✳❁✬☛■✳●✺✻✉❆✓✵☞❀✏✌✂✥✜✩☎✫☞✎✶✵☛✌✶✈✶✖✂❤❯✴✠✵☞✎✳❀✂❴✂✥✍ ✓✖✝✄☎✯✓✡✝✄✣✾✼✡✜✩✂✑✟✡☎✞✂✑☎✯✶✡☞P☎✫✪✥✟✡☎✫☎✫☞✎✝✄✓✡☎✥✷ ✁✄✂✇✓✦✺❍✝✄✟✖✼✵✳✎☞❀✂■✚✵☛✌☎❤✳❀✂✑☎❤✣✤✂✑✣❄✼✡✜✫✂✑☎❤✶✖✂✈✳●✺①✿✂✑❃❅✟✵☞❀✚✽✂❦②✯❧❊❯✭◗★✂✥✍❵✍✞✝✄✟✡✍❤☎✫✚❱✿✂✑✪✥☞✎☛✌✳❀✂✑✣✤✂✑✓❅✍③✳❀✂✑☎❵✍✫✠❭✿✂✑☎✫☛✒✜✩✶✡☎❤✂✥✍③☛✌✓✵✪✥☞❀✂✑✓✡☎ ✍✫✠❱✿✂✑☎✫☛✒✜✩✶✵☎✥◗❁❃✛✟✡☞✾✝✄✓✔✍✇✪✙✝✄✓✔✍✞✜✢☞❀✼✵✟❱✿✂④✬☛⑤✪✙✜❇✿✂✥✂✥✜⑥✟✡✓✡✂t☛✌✣✾✼❏☞✎☛✌✓✡✪✙✂❢☛✌✣✧☞✎✪✥☛✌✳❀✂✌✷✭❥③✂✥✜✩✪✥☞❑✂✑✓⑦✚✵☛✒✜✫✍✫☞✎✪✥✟✵✳✎☞❀✂✥✜❣✬☛⑧❧❆✓✵✓✖✂✌◗❆✶✖✝✄✓❅✍ ✳●✺❍✂✙✘❇✚❱✿✂✥✜✩☞❀✂✑✓✡✪✙✂❄✣❚✺✻☛✤☎✞✝✄✟✖✏✌✂✑✓❅✍❚✿✂✥✍❅✿✂❑✟✡✍✫☞✎✳❀✂✌◗✡☛✌☞✎✓✡☎✩☞♠❃✛✟✸✺⑨✬☛✧⑩✱☛✌☎✫✪✥☛✌✳❫✂✥✍✯❶❙☛✌✳❷✿✂✥✜✩☞❀✂✾✚♠✝✄✟✡✜✯✳❀✂✑✟✖✜✩☎★✪✙✝✄✓✡☎✫✂✑☞✎✳✎☎✥✷ ✁✡✺✻☛✌✶✖✜✫✂✑☎✫☎✞✂❑✟✡✓③✪✥✳✎☞P✓③✶✸✺✻❸❘☞✎✳✸✪✢✠✡☛✌✳❀✂✑✟✖✜✩✂✑✟❇✘❹✬☛❋✲✴☞✎✳✎✳✽✂✥✍✆❳❺✂❄✳❀✂❘✜✫✂✑✣✤✂✥✜✢✪✥☞❀✂✾✶✖✂❑☎✞✝✄✓❈☛✌☞✎✶✡✂❘✂✑✓❈☞✎✓✡◆⑨✝✌✜✩✣❋☛✒✍✫☞✎❃❅✟✡✂✌✷✵❥③✂✥✜✩✪✥☞★✬☛ ❬✆☎✫✍✞✂✑✳✎✳❀✂❄☛✌☞P✓✡☎✫☞❫❃✛✟✸✺⑨✬☛❵❬✆✣✧✣❋☛✌✓❅✟✖✂✑✳✗✚✽✝✄✟✖✜✭✓✖✝✄☎❊◆❛✜❇✿✂✑❃✛✟✖✂✑✓✔✍✞✂✑☎❨☎✫✝✄☞❀✜✛✿✂✥✂✑☎❨☛✌✣✧☞✎✪✥☛✌✳❀✂✑☎✑✷♠❬❭✓✖▼✵✓✸◗❏✍✞✝✄✟✖✍✞✂✤✣✧☛❋❂✌✜✢☛✒✍✫☞❀✍✫✟✡✶✖✂❄✏❝☛⑥✬☛ ✲❱✜✩✟✡✓✖✝✤✚✽✝✄✟✖✜✯☎✫✝✄✓③☎✞✝✄✟✖✍✫☞❀✂✑✓❤✂✥✍❆☎✞✂✑☎✯✂✑✓✡✪✙✝✄✟✡✜✩☛✒❂✌✂✑✣✤✂✑✓❅✍✫☎❫❻✡☎✞✝✄✓❈☛✌✣✧☞❀✍✫☞❷✿✂✾✣❚✺❍✂✑☎✫✍✯✚✡✜❇✿✂✑✪✥☞❀✂✑✟✡☎✫✂✌✷
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✤✛✷✴✳✛✷✲✚ ❯❱✝✄✓✡✶✡☞❀✍✫☞✎✝✄✓✡☛✌✳✽✣✤✂✑☛✌☎✫✟✖✜✫✂✑☎ ✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ❼ ✵ ✤✛✷✴✳✛✷✴✤ ❧❊✚✡✚❏✳✎☞✎✪✥☛✒✍✫☞❀✝✄✓❤✍✞✝❋☛✌☎✫✐✛✣✤✚✵✍✞✝✌✍✫☞✎✪✭✚✵☛✌☞❀✜✩☎✑✷ ✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ❼ ✶ ▼ ❁✘✗ ✪✚✙✛✭✝ ✩❅✯ ✍ ✩✢✜ ✪◆✡✤✣✬☞✦✥ ✟☛☞✬❂❏☞❑✫✗☞✂✧✠✕✮❈❉✏ ✩✰✯ ▼ ✘ ❼ ✷✲✚ ②❈✿✂✥▼✵✓✡☞✎✍✫☞❀✝✄✓✡☎✯✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ❖✜ ❼ ✷✲✚✒✷✲✚ ❪❁✜✩☛✒✚✵✠✖✂✑☎✯✂✥✍❊✪✩✠✖✂✑✣❋☞✎✓✡☎ ✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ❖✜ ❼ ✷✲✚✒✷✴✤ ❯✴✠✡☛✹❜✣✎✓✖✂✑☎★✶✡✂✾❥❈☛✒✜✫q✌✝r✏❚✍✞✝✌✚✽✝✄✳❀✝✌❂✄☞✎❃✛✟✖✂✑☎ ✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ◆✚ ❼ ✷✲✚✒✷❼ ❥③✂✑☎✫✟✡✜✫✂✑☎❊✶✖✂✾❥■☛✒✜✫q✌✝r✏③✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ◆✚ ❼ ✷✲✚✒✷ ❬✆✓❅✍✞✜✫✝✌✚✵☞❀✂❘✶✖✂❄❪❨✟✖✜✫✂✥✏❇☞✎✪✩✠ ✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ●✤ ❼ ✷✴✤ ❯★✳✎☛✌☎✫☎✫☞❀▼❏✪✥☛✒✍✫☞❀✝✄✓❚✶✖✂✑☎★❂✌✜✩☛✒✚❏✠✖✂✑☎✯✪✙✝✄✓✡✓✖✂✙✘❇✂✑☎⑥✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ●✤ ❼ ✷✴✤✛✷✲✚ ❪❁✜✩☛✒✚✵✠✖✂✑☎✯✍✞✜✩☛✌✓✡☎✫☞❀✂✑✓❅✍✫☎✥◗✖✜❇✿✂✑✪✥✟✖✜✩✜✫✂✑✓✔✍✫☎❆✓❅✟✵✳✎☎✴✂✥✍✯✜❇✿✂✑✪✥✟✖✜✫✜✩✂✑✓✔✍✫☎❊✚♠✝✄☎✩☞❀✍✫☞❀◆❖☎✈✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ●✤ ❼ ✷✴✤✛✷✴✤ ❩✛✝✄✟✡☎✿✾ ❂✌✜✩☛✒✚❏✠✖✂✑☎★✂✥✍❊☎✫✟✡✜✫❂✌✜✩☛✒✚✵✠✖✂✑☎★✶✡✂❘✣❤❜✂✑✣✤✂✾✂✑✓❅✍✞✜✫✝✌✚✵☞❀✂⑤✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ●✳ ❼ ✷❼ ❬❙✘❇☞P☎✞✍✞✂✑✓✡✪✙✂✾✶✖✂❘✣✧✂✑☎✫✟✖✜✫✂✑☎✯✣❋☛❝✘❇☞✎✣❋☛✌✳❀✂✑☎ ✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✳✽✚ ❼ ✷❼ ✷✲✚ P ✂✑✪✥✟✖✜✫✜✫✂✑✓✵✪✙✂✾✚✽✝✄☎✫☞❀✍✫☞❀✏✌✂✭✂✥✍❊✣✧✂✑☎✫✟✖✜✫✂✑☎✯✣❋☛❝✘❇☞✎✣❋☛✌✳❀✂✑☎❦✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✳✽✚✿ ❼ ✷ ❼ ✷✴✤ ♦✦✂✾✪✙✜✩☞✎✍✙✬✂✥✜✩✂✾✶✖✂❄❪✭✟✖✜✩✂✥✏✛☞✎✪✢✠✽✾✩★✽☛✒✜✫❂✄☛✒✜✩✐✄☛✌✓③✂✥✍❊☎✫☛✧✜✛✿✂✑✪✥☞❀✚✡✜✫✝❇❃❅✟✡✂ ✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✳✔✤ ❼ ✷❼ ✷❼ ❬✆✓❅✍✞✜✫✝✌✚✵☞❀✂❘✳❀✝❇✪✥☛✌✳❀✂❨✂✥✍❊✣✧✂✑☎✫✟✖✜✫✂✑☎✯✣❋☛❝✘❇☞✎✣❋☛✌✳❀✂✑☎ ✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✳✔✵ ❼ ✷ ❥❈✂✑☎✫✟✖✜✩✂✑☎✯✚✡✜✫✂✑☎✩❃❅✟✖✂❨✣✧☛❝✘✖☞✎✣✧☛✌✳✎✂✑☎★✏✌✂✥✜✩☎✯✳●✺✻☞P✓✖▼✵✓✡☞ ✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✳✔✙ ✪ ❁✘✗ ✪✬☞ ✯❊✯ ✏✓✡❚✫■✲✕✭✝✠✟ ✩ ✡✫✥ ✪✬✫✭✫ ✩ ✬ ▼ ✖✷✲✚ ✭❆✝✌✍✫☛✒✍✫☞❀✝✄✓✡☎❆✂✥✍✯✚✡✜✩✝✌✚✡✜✩☞❷✿✂✥✍❅✿✂✑☎❤✿✂✑✳❷✿✂✑✣✤✂✑✓❅✍✫☛✌☞❀✜✫✂✑☎ ✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✵ ❼ ✖✷✴✤ ♣✗✜✩☛✌✓✡☎✩☞❀✍✫☞❀✏❇☞❀✍❅✿✂❨✂✥✍❊✣❹✿✂✑✳✎☛✌✓✖❂✌✂❄✍✞✝✌✚♠✝✄✳✎✝✌❂✄☞✎❃❅✟✡✂❵✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✵✔✵ ✖✷❼ ❩❇✂✑✓✡☎✫☞❀✼✵☞P✳✎☞❀✍❅✿✂❁☛✌✟✖✘❤✪✙✝✄✓✡✶✵☞❀✍✫☞❀✝✄✓❚☞✎✓✡☞✎✍✫☞✎☛✌✳❀✂✑☎④✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✶✼✤ ✖✷ ⑩✕✝✄☞✎✓❅✍✫☎✯✚✴✿✂✥✜✢☞❀✝✛✶✵☞✎❃❅✟✡✂✑☎ ✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✶✼✳ ✖✷✖✷✲✚ ❩✛✚❱✿✂✑✪✥☞❀▼✵✪✥☛✒✍✫☞❀✝✄✓ ✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✶✼✳ ✖✷✖✷✴✤ ⑩✗✝✄☞P✓✔✍✫☎❊✚❱✿✂✥✜✩☞❀✝❇✶✡☞✎❃✛✟✖✂✑☎❱✂✥✍❊✪✙✝✄✣✤✚✽✝✄☎✫☛✌✓❅✍✞✂✑☎❊✍✞✜✩☛✌✓✵☎✫☞❀✍✫☞❀✏✌✂✑☎⑤✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✶✼✙ ✖✷✖✷❼ ♦✦✂❘✍✫✠❱✿✂✥✝✌✜✑✬✂✑✣✤✂❴✶✖✂❄❩❇✠✵☛✒✜✫q✌✝✹✏❇☎✞q❇☞✎☞t✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✸✔✤ ✖✷✴✳ ❬❭✓✔✍✞✜✩✝✌✚✵☞❀✂❨✍✞✝✌✚✽✝✄✳❀✝✌❂✄☞✎❃✛✟✖✂ ✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✸✔✵ ✖✷✴✳✛✷✲✚ ✮✖✂✥✜❴✬☛✧✪✢✠✖✂✥✏✒☛✌✳●◗✡✍✫✟✖✜✫✼❏✟✡✳❀✂✑✓✡✪✙✂ ✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✸✔✵ ✖✷✴✳✛✷✴✤ ❥❈☛r❳✞✝✌✜✩☛✒✍✫☞❀✝✄✓■✶✖✂❘✳●✺❍✂✑✓❅✍✞✜✫✝✌✚✵☞❀✂ ✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✸✔✸ ✖✷✴✳✛✷ ❼ ❥❈☞✎✓✡✝✌✜✩☛✒✍✫☞❀✝✄✓❚❂✄✳❀✝✌✼❏☛✌✳❀✂❘✶✖✂❘✳●✺❍✂✑✓❅✍✞✜✫✝✌✚✵☞❀✂ ✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✸✔✙ ✖✷✴✳✛✷ ❬✆✓❅✍✞✜✫✝✌✚✵☞❀✂❘✟✡✓✵☞❀◆⑨✝✌✜✢✣❹✿✂✑✣✤✂✑✓✔✍★✚✽✝✄☎✫☞✎✍✫☞❀✏✌✂❚✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✙ ❼ ✖✷✴✳✛✷✴✳ ❬✆✓❅✍✞✜✫✝✌✚✵☞❀✂❨✂✥✍❊✪✢✠✡☛✒✝✄☎❊☛✌✟■☎✞✂✑✓✡☎✯✶✡✂❘②❆✂✥✏✒☛✌✓✖✂✥✐ ✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✙ ❼ ✖✷✴✵ ❯✴✝✄✟✖✚✵✳❀✂✑☎★✶✖✂❘♦✗☞✾❲❱❙✝✌✜✫q✌✂✌◗❏✂✑✓✡☎✞✂✑✣❄✼✵✳❀✂✑☎★✼✡✜✩✝✄✟✡☞✎✳✎✳❷✿✂✑☎▲✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✙✔✳ ✖✷✴✵✛✷✲✚ ❯✴✠✡☛✒✝✄☎✯☛✌✟■☎✞✂✑✓✡☎✯✶✖✂❘♦✗☞✾❲❱❙✝✌✜✫q✌✂✧✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✙✔✳ ✖✷✴✵✛✷✴✤ ❯✴✠✡☛✒✝✄☎★❂✕✿✂✑✓❱✿✂✥✜✩☞✎❃✛✟✖✂ ✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷✻✙✔✵ ✱ ✜ ✩✰✯ ✏✓✡ ✩✰✯ ❇ ✪✯✮❃✕ ❇ ✪✬✫ ✩❅✯ ❂ ☞✠✏❃✡❚✫ ✩❅✯ ✟✖✡✖✪✬✝ ✯✱✰ ☞✬✡ ❇ ✪ ✟✌✕✮☞✠✝ ✯ ✍ ✩ ✫ ■✲✕✭✝✠✟ ✩ ✡✫✥ ✪✬✫✭✫ ✩ ✘❑✘ ✳✛✷✲✚ ❥❈✂✑☎✫✟✖✜✩✂✑☎❊✣✧☛❝✘✖☞✎✣✧☛✌✳❀✂✑☎✴✂✥✍❆☞✎☎✞✝✄✣✤✝✌✜✫✚❏✠✡☞✎☎✫✣✤✂✑☎❘✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✢✜✔✜ ✳✛✷✴✤ ②✭☞✎☛✒❂✌✜✢☛✌✣✧✣✤✂✾✶✖✂✾❥■☛✒✜✫q✌✝r✏❈☛✌☎✫☎✞✝❇✪✥☞✢✿✂❵✬☛✧✟✡✓✡✂❁✍✞✜✢☛✌✓✡☎✞◆❛✝✌✜✩✣✧☛✒✍✫☞❀✝✄✓ ✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✢✜ ✚ ✳✛✷✴✤✛✷✲✚ ♥s☎✞✝✄✣✧✝✌✜✫✚✵✠✡☞✎☎✩✣✤✂❨☛✑✏✌✂✑✪✾✟✵✓③☎✞✝✄✟✡☎✿✾☎✩✠✡☞❀◆❛✍ ✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✢✜ ✚ ✳✛✷✴✤✛✷✴✤ ②❁☞P☛✒❂✌✜✩☛✌✣✧✣✤✂✾✶✡✂✾❥❈☛✒✜✫q✌✝r✏⑥✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✢✜❖✳ ✳✛✷✴✤✛✷❼ ❬❲✘❇✂✑✣✤✚✵✳❀✂✑☎✯✶✡✂❘✶✡☞✎☛✒❂✌✜✩☛✌✣✧✣✧✂✑☎✯✶✖✂✾❥■☛✒✜✫q✌✝✹✏ ✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✔✚✔✚ ✳✛✷❼ ♣✗✜✩☛✌✓✡☎✫◆⑨✝✌✜✩✣❋☛✒✍✫☞❀✝✄✓✡☎✯✣✤✝✄✓✡✝✌✍✞✝✄✓✖✂✑☎✯✚✵☛✒✜❆✣✤✝✌✜✩✪✙✂✑☛✌✟❇✘ ✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✔✚✞✤ ✳✛✷ ♣✗✜✩☛✌✓✡☎✫◆⑨✝✌✜✩✣❋☛✒✍✫☞❀✝✄✓✡☎✖✲✴✳ ✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✔✚ ❼ ✳✛✷✖✷✲✚ ❬✆✓❅✍✞✜✫✝✌✚✵☞❀✂❘✳❀✝❇✪✥☛✌✳❀✂ ✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✔✚ ✳✛✷✖✷✴✤ ❬✆✓❅✍✞✜✫✝✌✚✵☞❀✂▲✬☛✧✳✺✻☞✎✓✖▼✵✓✡☞✦✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❘✷❨✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷❘✷✾✷❘✷❨✷❘✷❘✷❨✷ ✚✔✚✞✳
✬ ✁ ✡✌✪✬✝ ✯✫✰ ☞✬✡ ❇ ✪ ✟✖✕✗☞❑✝ ✯ ✍ ✩ ✫ ■✲✕✭✝✠✟ ✩ ✡ ✥ ✪✬✫✭✫ ✩ ❇ ✧ ✩ ✫✗✪✬✝✟✧ ✩ ✪✬✝✠✟ ✩✰✯ ✲ ✳ ✯ ✪✬✝ ✯ ❇ ✩❅✯ ✏✓✡ ✩ ❇ ✪✯✮❃✕ ❇ ✪✬✫ ✩ ✥✰❀◆▼ ✵✛✷✲✚ ❯❱✝✄✓✡☎✫✍✞✜✩✟✡✪✙✍✫☞❀✝✄✓③☛✌✓✵✶❤✚✡✜✫✝✛✝✌◆✗✝✌◆✱✍✫✠✖✂❘✣✧☞❀✘❇☞✎✓✡❂❑✚✵✜✫✝✌✚✽✂✥✜✫✍✐ ✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚✞✤✔✳ ✵✛✷✲✚✒✷✲✚ ❪❁✂✑✓✡✂✥✜✩☛✌✳❫✶✖✂✑☎✩✪✙✜✩☞❀✚✡✍✫☞❀✝✄✓❤✷✾✷❨✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚✞✤✔✳ ✵✛✷✲✚✒✷✴✤ ❥❈✂✥✍✫✠✖✝❇✶③◆❛✝✌✜✯✍✫✠✖✂❨✚✡✜✫✝✛✝✌◆✕✝✌◆✱✣❋☞❉✘❇☞P✓✖❂❄✚✵✜✫✝✌✚✽✂✥✜✫✍✐✇✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚✞✤✔✳ ✵✛✷✲✚✒✷❼ ❯❱✝✄✓✵☎✞✍✞✜✩✟✡✪✙✍✫☞❀✝✄✓③✝✌◆✄✂ ✳ ✝✄✓✆☎✚✞✝✠✟☛✡✠☞✧✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚✞✤✔✸ ✵✛✷✲✚✒✷ ❯❱✝✄✓✵☎✞✍✞✜✩✟✡✪✙✍✫☞❀✝✄✓❢✝✌◆✌✂ ✳ ✝✄✓✍☎✜☛✝✞✚✎☞✭☛✌✓✡✶✏☎✟ ✡ ✝ ✞☞❊☛✌✓✡✶❢✂✑✓✡✶❢✝✌◆❊✍✫✠✡✂❚✚✡✜✫✝✛✝✌◆❊✝✌◆❊✍✫✠✡✂③✣✧☞❉✘✖☞✎✓✖❂ ✚✡✜✩✝✌✚♠✂✥✜✩✍ ✐❣✷❨✷❘✷❘✷❨✷❘✷❘✷✾✷❨✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚ ❼ ✵✛✷✴✤ ♣✯✠✖✂✾❥■☛✒✜✫q✌✝r✏③✪✩✠✡☛✌☞✎✓❈☛✌☎✫☎✞✝❇✪✥☞✎☛✒✍✞✂✑✶③✍✞✝✧✍✫✠✡✂✾☞✎✓❅✍✞✂✥✜✫✏❝☛✌✳✸✣❋☛✒✚ ✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚ ❼ ✳ ✵✛✷✴✤✛✷✲✚ ②❁✂✥▼✵✓✡☞✎✍✫☞❀✝✄✓❤✝✌◆✱✍✫✠✖✂❨❂✌✜✩☛✒✚✵✠t✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚ ❼ ✳ ✵✛✷✴✤✛✷✴✤ ♥❺☎✞✝✄✣✤✝✌✜✫✚❏✠✡☞✎☎✫✣ ✼✽✂✥✍ ✷❱✂✥✂✑✓✑✂ ✳ ☛✌✓✡✶❚✍✫✠✖✂❑❥❈☛✒✜✫q✌✝r✏③✪✩✠✡☛✌☞P✓ ✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚ ❼ ✵ ✵✛✷✴✤✛✷ ❼ ✭❆✝✄✓③✂✙✘✖☞✎☎✞✍✞✂✑✓✡✪✙✂✾✝✌◆✕✣✧☛❝✘✖☞✎✣✧☛✌✳✸✣✧✂✑☛✌☎✫✟✖✜✫✂ ✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚ ❼ ✸ ✵✛✷❼ ♦✦✝❇✪✥☛✌✳✦✂✑✓❅✍✞✜✫✝✌✚✛✐ ✷✾✷❨✷❘✷❘✷❨✷❘✷❘✷✾✷❨✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❘✷❨✷❘✷❘✷❨✷✾✷❘✷❨✷ ✚ ❖✜ ✒☎✕✔✓✑✫✭✕✗☞✂✧❑✡✖✪◆❂ ✗ ✕ ✩ ✥ ✪✠❀ ✕ ☞✬✟☛✪ ✟✖✕✗☞✠✝ ✯ ✥ ✪ ✘
✁Ö❙ ◗⑥✈✟♠✯❖✡❝ ❙❱❴➑❳ ❹ ❴✟♠✪✇①❛✢②➨❯✟❙❵❘❚❖ r ❖✛❩✢❖✄✂✛❛✢②➨❯✟❙ ♦✆✺✻☞✎✶❭✿✂✥✂❚✶✖✂❵✪✢✠✡☛✒✝✄☎✤☛④✿✂✥✍❅✿✂■☞✎✓✔✍✞✜✩✝✛✶✡✟✵☞❀✍✞✂▲☎✫✟✵☞❀✍✞✂✇✬☛✇✳✎☛❦✣✧☞✎☎✞✂▲✂✑✓ ✂✥✏❇☞✎✶✖✂✑✓✵✪✙✂❤✶✡✂❵☎✞✐❇☎✞✍✥✬✂✑✣✤✂✑☎✤✜❇✿✿ ✂✥❂✄☞P☎❄✚❏☛✒✜❴✶✡✂✑☎❄✜✑✬✂✥❂✄✳✎✂✑☎ ✶❱✿✂✥✍✞✂✥✜✩✣✧☞P✓✡☞✎☎✞✍✞✂✑☎❆☛✑✐✄☛✌✓❅✍❁✓❱✿✂✑☛✌✓✡✣✧✝✄☞✎✓✡☎❊✶✡✂✑☎❊✪✙✝✄✣✤✚✽✝✌✜✫✍✞✂✑✣✤✂✑✓❅✍✫☎✭☞✎✣✤✚✡✜❇✿✂✥✏❇☞✎☎✫☞✎✼✵✳❀✂✑☎❘✬☛❋✳❀✝✄✓✡❂✤✍✞✂✥✜✩✣✤✂✌✷✽❬✆✓❚✚✵☛✒✜✩✍✫☞✎✪✥✟✡✳✎☞❀✂✥✜✹◗❇♦❫✝✼✾ ✜✫✂✑✓✖❞✭☎✥✺❍✂✑☎✞✍✯☛✒✚✽✂✥✜✌✰✪✥✟❵✶✡☛✌✓✡☎✴✳❀✂✑☎✴☛✌✓✡✓❱✿✂✥✂✑☎ ✚✞✙✔✵✼✜✤❃❅✟✖✂✭☎✞✝✄✓❚✣✤✝❇✶✸✬✂✑✳❀✂❨✶✖✂✭✣❹✿✂✥✍❅✿✂✥✝✌✜✫✝✄✳❀✝✌❂✄☞❀✂❑✶✖✝✄✓✡✓✡☛✌☞❀✍❱✶✖✂✑☎❱✜✛✿✂✑☎✫✟✡✳❀✍✫☛✒✍✫☎★✶✵☞❀✏✌✂✥✜ ✾ ❂✌✂✑✓❅✍✫☎❲☎✫✟✡☞❀✍✞✂❘✬☛✭✶✸✺✻☞✎✓✖▼✵✣✧✂✑☎❫✶✡☞✆☎❊✿✂✥✜✫✂✑✓✡✪✙✂✑☎✱✶✡☛✌✓✡☎✱✳❀✂✑☎✱✪✙✝✄✓✡✶✵☞❀✍✫☞❀✝✄✓✡☎✗☞✎✓✡☞❀✍✫☞✎☛✌✳✎✂✑☎✞✝✾✪✒✺❍✂✑☎✞✍✠✟☛✡☞✍✌✎☞✑✏✓✒✕✔✖✒✘✗✙✟✚✟✜✛✣✢✡✷✔②❑✺✻☛✌✟✖✍✞✜✫✂✑☎❄✿✂✥✍✫✟✡✶✡✂✑☎ ✝✄✓❅✍❲✂✑✓✡☎✫✟✡☞❀✍✞✂✴✣✤✝✄✓❅✍✞✜✛✿✂❊❃✛✟✖✂★✳❀✂❱✣❚❜✂✑✣✧✂✯✍✐✛✚✽✂✴✶✡✂✴✪✙✝✄✣✧✚♠✝✌✜✩✍✞✂✑✣✤✂✑✓✔✍✫☎✆☎✞✂✴✜✫✂✑✓✡✪✙✝✄✓❅✍✞✜✩☛✌☞❀✍❄✿✂✥❂✄☛✌✳❀✂✑✣✤✂✑✓❅✍✆✶✡☛✌✓✡☎❲✶✡✂✑☎❲☎✞✐✛☎✫✍✙✬✂✑✣✧✂✑☎ ✼✽✂✑☛✌✟✡✪✙✝✄✟✖✚❤✚✵✳✎✟✵☎❭☎✫☞P✣✤✚✵✳❀✂✑☎♠❻❇✚✵☛✒✜✴✂✙✘✛✂✑✣✧✚✵✳❀✂✌◗✖✳●✺①✿✂✥✍✫✟✡✶✖✂❨✶✖✂❨✳●✺s✿✂✥✏✌✝✄✳✎✟✖✍✫☞✎✝✄✓❚✶✸✺✻✟✡✓✖✂❁✚✽✝✌✚✵✟✡✳✎☛✒✍✫☞❀✝✄✓▲✚✽✂✑✟✖✍✴☎✞✂❨✣✤✝✛✶❱✿✂✑✳P☞✎☎✞✂✥✜❱✚✵☛✒✜ ✳✎☛❴☎✫✟✡☞✎✍✞✂✥✤✘✦✣✧ ✡✩★✫✪✣✤✘✦✘✬✿✚✠✭✮✤✘✦✕✯✢◗✖❃✛✟✡☞✽☎✥✺✻☛✑✏❏✬✂✥✜✫✂❋❜✂✥✍✞✜✫✂✾✪✢✠✡☛✒✝✌✍✫☞✎❃✛✟✖✂❨✚✽✝✄✟✖✜✴✶✖✂✑☎✴✚✵☛✒✜✩☛✌✣❚✬✂✥✍✞✜✫✂✑☎✄✪❑☎✩✟✱✰❋☎✫☛✌✣✧✣✧✂✑✓✔✍❋✿✂✑✳❀✂✥✏❙✿✂✑☎✑✷ ✉❁✓❤☎✞✐✛☎✫✍✙✬✂✑✣✧✂❘✶✖✐✛✓✵☛✌✣✧☞✎❃✛✟✖✂❊✍✞✝✌✚✽✝✄✳❀✝✌❂✄☞✎❃✛✟✖✂❆✂✑☎✞✍★✳✎☛❄✶✡✝✄✓✡✓❭✿✂✥✂❨✶✸✺✻✟✡✓✖✂❁✍✞✜✩☛✌✓✡☎✞◆❛✝✌✜✩✣✧☛✒✍✫☞✎✝✄✓▲✪✙✝✄✓❅✍✫☞✎✓✛✟✖✂✳✲ ✶✦✺✻✟✡✓❋✂✑☎✫✚✵☛✌✪✙✂ ✴ ✶✡☛✌✓✵☎★✳✎✟✡☞✾ ✣❚❜✂✑✣✤✂✌◗✓✴ ✂✥✍✫☛✌✓❅✍❊✳❀✂✭✚✵✳✎✟✵☎❭☎✞✝✄✟✡✏✌✂✑✓✔✍✯✟✡✓❵✂✑✓✡☎✫✂✑✣✾✼✵✳✎✂❁✣❣✿✿ ✂✥✍✞✜✩☞P❃❅✟✖✂❨✪✙✝✄✣✤✚❏☛✌✪✙✍✥✷✵♦❙✺s✿✂✥✏✌✝✄✳✎✟✖✍✫☞✎✝✄✓❚✶✡✟❤☎✞✐✛☎✫✍✙✬✂✑✣✧✂ ✂✑☎✞✍✴✶✖✝✄✓✡✓❱✿✂✥✂❆✚✵☛✒✜❱✳✎✂✑☎❭☞❀✍✛✿✂✥✜✩☛✒✍✫☞✎✝✄✓✡☎❭☎✩✟✡✪✥✪✙✂✑☎✫☎✫☞❀✏✌✂✑☎❱✶✖✂❁✳✎☛❘✍✞✜✩☛✌✓✵☎✞◆⑨✝✌✜✢✣✧☛✒✍✫☞❀✝✄✓✸◗✛✳❀✂✯✚✽✝✄☞✎✓❅✍✵✲ ✦✷✶ ✜✫✂✥✚✵✜✛✿✂✑☎✞✂✑✓✔✍✫☛✌✓❅✍★✳✎☛✾✓✡✝✄✟✖✏✌✂✑✳✎✳❀✂ ✚✽✝✄☎✫☞❀✍✫☞❀✝✄✓❈✶✡✟❈✚✽✝✄☞✎✓❅✍ ✶ ✬ ☛❵✳●✺✻☞✎✓✡☎✞✍✫☛✌✓❅✍✹✸✺✬❖✳❀✂✾✍✞✂✑✣✤✚❏☎❊✂✑☎✞✍✭✶✡☞✎☎✩✪✙✜✫✂✥✍✻✯✢✷✞✼✭✓❦✪✩✠✡✂✥✜✩✪✩✠✖✂③✬☛ ✂✥✍✫✟✵✶✡☞❀✂✥✜✭✳❀✂❄✪✙✝✄✣✤✚✽✝✌✜✫✍✞✂✑✣✧✂✑✓✔✍✭✶✡✟✿ ☎✞✐❇☎✞✍✙✬✂✑✣✤✂✾✚✽✝✄✟✖✜✯✶✡✂✑☎★✍✞✂✑✣✤✚✵☎★✍✞✂✑✓✵✶✡☛✌✓✔✍❊✏✌✂✥✜✩☎❊✳●✺✻☞P✓✖▼✵✓✡☞●✷ ♦✗☛❋✓✖✝✌✍✫☞❀✝✄✓❈✶✖✂✾✪✩✠✵☛✒✝✄☎❆✜✩✂✑✪✙✝✄✟✖✏❅✜✩✂✾✳❀✂✑☎❊☞P✶❭✿✂✥✂✑☎❆✶✸✺✻☞P✣✤✚✡✜❇✿✂✑✶✡☞✎✪✙✍✫☞✎✼✵☞✎✳✎☞❀✍✛✿✂✌◗❇✶✖✂❘◆❛✝✌✜✫✍✞✂❄✶✵☞❀✏✌✂✥✜✫❂✌✂✑✓✡✪✙✂❑☎✫✟✡☞❀✍✞✂▲✬☛▲✶✖✂✑☎✯✂✥✜✫✜✩✂✑✟✖✜✩☎ ✶✖✂✇✣✤✂✑☎✫✟✖✜✩✂✌◗❱✶✖✂✇✣❑✟✡✳❀✍✫☞❀✚✵✳P☞✎✪✥☞❀✍❅✿✂❈✶✖✂✑☎❤✪✙✝✄✣✤✚✽✝✌✜✫✍✞✂✑✣✤✂✑✓❅✍✫☎❤✝✌✼✵☎✞✂✥✜✩✏❙✿✂✑☎✥✷❀✷❀✷✯♦✗☛✾✽✿☞❀✢✱✽✖✗❂❁✑✗✙✟❃✗✚✏✱❄☞❅✔✣❆❈❇❊❉❋✛●✢✘❍✣✗✍✏✍✗✍✛✣✢■✽❏✗✚✢■✗✍✏✍✗✍✔✣✟❑☞✖✽ ✬❛✍✞✂✥✜✩✣✧☞P✓✖✝✄✳❀✝✌❂✄☞❀✂❤☞✎✓❅✍✞✜✫✝✛✶✵✟✡☞❀✍✞✂❋✶✡☛✌✓✵☎ ☎❖✜ ☞✚✯✾☞P✓✡✶✡☞✎❃✛✟✖✂✧❃✛✟✸✺⑨✬☛❈✚✵✜✫✝✑✘✖☞✎✣✧☞❀✍✛✿✂❚✶✖✂❵✍✞✝✄✟✖✍❴✚✽✝✄☞✎✓✔✍ ✶ ☞✎✳❭✂✙✘❇☞✎☎✫✍✞✂❵✶✖✂✑☎❑✚✽✝✄☞✎✓❅✍✫☎ ✟ ❃✛✟✡☞❙☎✥✺s✿✂✑✳❀✝✄☞❀❂✄✓✡✂✑✓✔✍❑✶✖✂ ✶ ✶✸✺✻✟✡✓✖✂✧✶✵☞✎☎✞✍✫☛✌✓✡✪✙✂▼▲❏◆ ✜❢✬☛❈✟✡✓t☞✎✓✡☎✞✍✫☛✌✓❅✍✾✶✖✝✄✓✡✓❱✿✂✌◗✕✪✒✺❍✂✑☎✞✍✿✾❷✬☛✌✾✶✡☞❀✜✩✂▼❖✘✬✙✲ ✦P✶ ✝☛✲ ✦ ✟■✯❘◗❙▲❵✚✽✝✄✟✖✜ ✟✡✓■✪✙✂✥✜✫✍✫☛✌☞✎✓❏✸❲✷❏❡❁☞✎☎✞✍✞✝✌✜✩☞P❃❅✟✖✂✑✣✧✂✑✓✔✍✥◗♠✳❀✂✾✍✞✂✥✜✩✣✧✂❄✶✖✂❴✪✩✠✡☛✒✝✄☎✭☛ ✂✥✍❅✿✿ ✂✧☞P✓✔✍✞✜✫✝❇✶✡✟✡☞✎✍★✚✵☛✒✜❁♦✗☞❫✂✥✍ ❱❙✝✌✜✫q✌✂❑✂✑✓ ✚✞✙❖✶✼✳ ☎✳❖✶ ☞✗✚✽✝✄✟✖✜ ❃✛✟✡☛✌✳✎☞❀▼✡✂✥✜✕✳❀✂★✪✙✝✄✣✤✚✽✝✌✜✫✍✞✂✑✣✤✂✑✓❅✍❲✶✖✂❱✪✙✂✥✜✩✍✫☛✌☞✎✓✡☎❲☎✞✐❇☎✞✍✙✬✂✑✣✤✂✑☎❙☎✫✟✡✜✕✳●✺✻☞P✓✔✍✞✂✥✜✫✏✒☛✌✳✎✳❀✂✌◗❝✣✧☛✌☞✎☎✱☎✫☛✌✓✡☎✴❜✂✥✍✞✜✫✂★✚✵✜✛✿✂✑✪✥☞✎☎❅✿✂✑✣✤✂✑✓❅✍❲◆⑨✝✌✜✩✣❋☛✌✳✎☞✎☎✛✿✂✌✷ ❩❇☞❚✬✚✴ ✝☛✲❯✯❆✂✑☎✞✍❘✟✡✓✇☎✞✐❇☎✞✍✙✬✂✑✣✤✂❋✶✖✐❇✓✡☛✌✣✧☞✎❃✛✟✖✂❄✍✞✝✌✚♠✝✄✳✎✝✌❂✄☞✎❃❅✟✡✂✌◗✽✓✡✝✄✟✡☎✭✶✡☞❀✜✫✝✄✓✡☎❁❃✛✟✖✂✤✶✖✂✑✟❇✘■✚✽✝✄☞✎✓❅✍✫☎ ✶ ✂✥✍ ✟❈◆❛✝✌✜✩✣✤✂✑✓❅✍❨✟✡✓ ❉❋✛●❆❱✒❲✟✜☞▼❍✷☞❘❳❨✗✚❩❭❬❪✛●❫❋❴❈☞❁☎✫☞❵✲ ✦ ✶ ✂✥✍✳✲ ✦ ✟❈☎✞✝✄✓❅✍❘☛✒✜✫✼✵☞❀✍✞✜✩☛✌☞✎✜✫✂✑✣✤✂✑✓❅✍❊✚✡✜✫✝❇✪✩✠✡✂✑☎✤✬☛❤✪✙✂✥✜✫✍✫☛✌☞P✓✡☎❨☞✎✓✡☎✞✍✫☛✌✓❅✍✫☎❁✂✥✍❨☎✞✝✄✓✔✍❦✿✂✑✳❀✝✄☞✎❂✄✓❭✿✂✑☎ ✶✸✺✻✟✡✓✡✂✧✶✡☞✎☎✞✍✫☛✌✓✡✪✙✂❵✓✖✝✄✓⑥✓✛✟✡✳✎✳❀✂❛✬❖✶❱✿✂✥✚✽✂✑✓✡✶✵☛✌✓✔✍❑✶✖✂ ✶ ✂✥✍ ✟■✯✭✚✽✝✄✟✖✜✾✶✸✺✻☛✌✟✡✍✞✜✫✂✑☎❜✸ ✍✞✂✑✓✵✶✡☛✌✓✔✍❄✏✌✂✥✜✩☎✾✳ ✺✻☞✎✓✖▼✵✓✡☞r❻❫✳❀✂▲☎✞✐✛☎✫✍✙✬✂✑✣✧✂ ✬✚✴ ✝☛✲❯✯✯✂✑☎✫✍❝❉✑❞✓✔❈✛●✏✍✗❂❡✑❆❪☞❢✔●❆❛✽✿☞❀✢✱✽❣❍✷☞❤❳✵✗✙❩✣❬❪✛✣❫✻❴●☞❆☎✥✺✻☞✎✳❫✂✙✘❇☞P☎✞✍✞✂❄✟✡✓■✂✑✓✡☎✞✂✑✣❄✼✵✳❀✂❣✐ ✓✡✝✄✓■✶❱✿✂✑✓✖✝✄✣❄✼✡✜✩☛✒✼❏✳❀✂✾✍✞✂✑✳✕❃❅✟✡✂❑✶✖✂✑✟✖✘ ✚✽✝✄☞✎✓❅✍✫☎✤✶✡☞✎☎✞✍✫☞✎✓✵✪✙✍✫☎✤✶✖✂✮✐ ◆❛✝✌✜✩✣✤✂✑✓❅✍✧✟✡✓ ✪✙✝✄✟✖✚✵✳❀✂③✶✡✂③♦❫☞✾❲❱❙✝✌✜✫q✌✂✌✷★❯❱✂✥✍✞✍✞✂③✚✡✜✩✝✌✚✡✜✩☞❷✿✂✥✍❅✿✂❈☞✎✓✡✶✵☞✎❃❅✟✡✂❵❃✛✟✖✂③✶✖✂③✓✖✝✄✣❄✼✡✜✫✂✑✟✖✘ ✚✽✝✄☞✎✓❅✍✫☎✭✝✄✓✔✍✾✶✡✂✑☎❘✪✙✝✄✣✤✚✽✝✌✜✫✍✞✂✑✣✤✂✑✓❅✍✫☎❤❥ ☞P✓✡✶❭✿✂✥✚✽✂✑✓✡✶✡☛✌✓❅✍✫☎❘❦t✳❀✂✑☎❘✟✡✓✡☎❨✶✡✂✑☎❘☛✌✟✖✍✞✜✫✂✑☎✥✷✱❩✛✝✄✟✡✳✎☞❀❂✄✓✡✝✄✓✡☎✭❃❅✟✖✂✧✳✺❍✂✑✓✡☎✞✂✑✣❄✼✵✳❀✂❧✐ ✓✸✺❍✂✑☎✞✍✴✚✵☛✌☎★✓❱✿✂✑✪✙✂✑☎✩☎✫☛✌☞❀✜✫✂✑✣✤✂✑✓❅✍❊✶✖✂✑✓✵☎✞✂✌◗✖✶✖✂❨☎✞✝✌✜✫✍✞✂❘❃✛✟✖✂❨✳❀✂❨✪✩✠✡☛✒✝✄☎✯☛✌✟❚☎✫✂✑✓✡☎★✶✖✂❨♦❫☞✾❲❱❙✝✌✜✩q✌✂❨✚♠✂✑✟✡✍❁❜✂✥✍✞✜✫✂❘✪✙✝✄✓✵✪✙✂✑✓✔✍✞✜❇✿✂❑✶✡☛✌✓✡☎ ✟✡✓❚☎✞✝✄✟✵☎✿✾ ☎✞✐❇☎✞✍✙✬✂✑✣✤✂✌✷ ✬ ❧ ✳ ✺✻☞✎✓✔✏✌✂✥✜✢☎✞✂✌◗❝✳✎✂✳❉❀❞✕✔❈✛❭✽✄✔✣❆❝✽✑☞✑✢✱✽✹❍✷☞♥♠❝☞✑♦❭✔✣✢❲☞✑♣ ☎❼ ✜✞☞❇✂✑☎✞✍❲✟✡✓✖✂❭✚✡✜✫✝✌✚✡✜✩☞❷✿✂✥✍✛✿✂★✟✡✓✡☞✎◆⑨✝✌✜✩✣✧✂✆✶✡✟❑☎✞✐✛☎✫✍✙✬✂✑✣✧✂✌◗✒❃✛✟✡☞✛✶✖✝✄☞❀✍❭❜✂✥✍✞✜✫✂ ✍✞✜✩☛✌✓✡☎✩☞❀✍✫☞❀◆s◗✄☎✞✂✑✓✡☎✫☞❀✼❏✳❀✂❱☛✌✟✖✘✤✪✙✝✄✓✵✶✡☞❀✍✫☞❀✝✄✓✡☎✆☞✎✓✡☞❀✍✫☞✎☛✌✳✎✂✑☎✗✂✥✍❭✚✽✝✄☎✫☎❅✿✂✑✶✖✂✥✜❭✶✡✂✑☎❲✚✽✝✄☞✎✓✔✍✫☎❙✚❱✿✂✥✜✩☞❀✝❇✶✡☞✎❃✛✟✖✂✑☎❲✶✖✂✑✓✡☎✞✂✑☎✦❻✔☞✎✪✥☞●◗✄✳❀✂✯✪✢✠✡☛✒✝✄☎❭✂✑☎✞✍ ✏❇✟❵✪✙✝✄✣❋✣✤✂❁✟✵✓❵✣❣✿✂✑✳P☛✌✓✖❂✌✂❨✶✸✺✻☞✎✣✤✚✡✜❇✿✂✥✏❇☞✎☎✫☞✎✼✵☞✎✳✎☞❀✍✛✿✂★✂✥✍★✶✖✂✭✪✙✝✄✣✤✚✽✝✌✜✫✍✞✂✑✣✤✂✑✓❅✍✫☎✴✜✛✿✂✥❂✄✟✡✳✎☞❀✂✥✜✢☎✥✷❇❯❱✂✥✍✞✍✞✂❨✶❱✿✂✥▼✵✓✵☞❀✍✫☞❀✝✄✓❵☎✞✂✭✼✵☛✌☎✞✂✭☎✫✟✖✜ ✳❀✂❊✪✙✝✄✣✧✚♠✝✌✜✩✍✞✂✑✣✤✂✑✓✔✍❱✶✖✂❊☎✞✐❇☎✞✍✥✬✂✑✣✤✂✑☎✴☎✫✟✖✜❭✳✎☛❘✶✖✜✫✝✄☞✎✍✞✂✯✜✛✿✂✥✂✑✳✎✳❀✂✌✷✛❬✆✳✎✳❀✂★✂✑☎✫✍✭✬☛✾✳P☛❨◆⑨✝✄☞P☎❲✚✽✝✌✚✵✟✡✳✎☛✌☞❀✜✩✂❱✂✥✍❱✪✙✝✄✓✔✍✞✂✑☎✫✍❅✿✂✥✂❣q❅✚✽✝✌✚✵✟✡✳✎☛✌☞❀✜✩✂ ✪✥☛✒✜❵✂✑✳✎✳❀✂③✜✫✂✥✚✽✝✄☎✞✂■☎✫✟✖✜❋✶✖✂✑☎▲✓✖✝✌✍✫☞❀✝✄✓✡☎ ✂✑✳✢✿✿ ✂✑✣✤✂✑✓❅✍✫☛✌☞❀✜✫✂✑☎❤✶✖✝✄✓❅✍❋✳❀✂❈✪✢✠✖✝✄☞❉✘ ☎✞✂✧❳✞✟✡☎✫✍✫☞❀▼✡✂③✶✡☛✌✓✡☎❋✟✡✓✖✂❈✪✙✂✥✜✫✍✫☛✌☞P✓✖✂■✣✤✂✑☎✩✟✖✜✫✂❲❻ ✪✙✝✄✓❅✍✞✂✑☎✞✍❅✿✂✥✂✾✪✥☛✒✜❱✶✡✂✑✟❇✘✧✶✖✂✑☎❭✪✙✝✄✓✵✶✡☞❀✍✫☞❀✝✄✓✡☎✳✬❖✳✎☛❘✍✞✜✢☛✌✓✡☎✫☞❀✍✫☞❀✏❇☞❀✍✛✿✂✯✂✥✍✴✳✎☛✾✶✡✂✑✓✡☎✫☞❀✍✛✿✂❆✶✡✂✑☎✆✚✽✝✄☞✎✓❅✍✫☎❙✚✴✿✂✥✜✩☞✎✝✛✶✡☞P❃❅✟✖✂✑☎✖✯✕☞✎✣✤✚✵✳✎☞P❃❅✟✖✂✑✓❅✍❲✳✎☛ ✍✞✜✫✝✄☞✎☎✩☞❖✬✂✑✣✤✂▼✬❖✳✎☛✤☎✞✂✑✓✵☎✫☞❀✼✵☞✎✳P☞❀✍❅✿✂❁☛✌✟❇✘❚✪✙✝✄✓✡✶✡☞✎✍✫☞❀✝✄✓✡☎★☞✎✓✡☞✎✍✫☞✎☛✌✳❀✂✑☎✻✯✢◗✖❃✛✟✡☞✸☎✞✂✑✣❄✼✵✳✎☛✌☞❀✍✴✚✽✝✄✟✖✜✫✍✫☛✌✓❅✍✯✳✎☛✤✚✵✳P✟✡☎✴☞✎✣✤✚✽✝✌✜✫✍✫☛✌✓❅✍✞✂ ☎❼ ✸❇◗❑✤ ☞✷ ②❑✺✻☛✌✟✖✍✞✜✫✂✑☎❤✓✖✝✌✍✫☞✎✝✄✓✡☎✧☎✥✺✻☞✎✓✵☎✞✚✵☞❀✜✫✂✑✓❅✍✧✶✖✂❈✳P☛✈✍✫✠❭✿✂✥✝✌✜✩☞❀✂✇✶✖✂❈✳●✺✻☞P✓✖◆⑨✝✌✜✢✣✧☛✒✍✫☞❀✝✄✓✸◗❙✪✙✝✄✣✧✣✧✂■✳●✺❍✂✑✓❅✍✞✜✫✝✌✚✵☞❀✂❈✍✞✝✌✚♠✝✄✳✎✝✌❂✄☞✎❃❅✟✡✂ ☎✚ ☞ ✂✥✍❤✳✎☛t✶✡☞P☎✞✚✽✂✥✜✩☎✫☞❀✝✄✓✍☎✚✢✜✞☞✷✹✼✭✓ ✜✫✂✥✍✞✜✫✝✄✟✖✏✌✂✇✳①✬☛t☛✌✟✵☎✫☎✫☞❁✳●✺❍✝✌✚✡✚✽✝✄☎✫☞❀✍✫☞❀✝✄✓❢✂✑✓❅✍✞✜✫✂✇✪✩✠✡☛✒✝✄☎❚✳✎✝✛✪✥☛✌✳❊✂✥✍❵✪✢✠✡☛✒✝✄☎❚✟✡✓✡☞❀◆❛✝✌✜✩✣✤✂✌✷❭❬✆✓