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Submitted on 16 Sep 2003
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Apprentissage de représentation et auto-organisation
modulaire pour un agent autonome
Bruno Scherrer
To cite this version:
Bruno Scherrer. Apprentissage de représentation et auto-organisation modulaire pour un agent
au-tonome. Interface homme-machine [cs.HC]. Université Henri Poincaré - Nancy I, 2003. Français.
�NNT : 2003NAN10018�. �tel-00003377�
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✡☞☛✍✌✎✌✏☛✑✌✎✒✔✓✖✕✏☛✘✗✍✌✎✙✔✚✜✛✢☛✑✣✥✤✙✦✌✎✛✧✣✧✛✢✕✩★✪✌✎✛✢✫✭✬✮✚✯✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛✖✕✵✶✖✫✭✬✦✬✔☛✸✷✜✛✢✫✭✬✦✬✦✛✢✕✎✌✏☛✖✕✺✹✻✫✭✙✦✳✼✳✏✗✖✕✏✫✭✙✔✚✜✳✏☛✽✚✦☛✖✕✟✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛✖✕ ✚✯✤✰★✪✹✦✹✦✳✏☛✍✬✿✌✎✛✢✕✏✕❀★✪✱✲☛❁✹❂★✪✳✟✳✏☛✍✬✜❃❄✫✭✳✏✶✖☛✍✴✵☛✍✬❅✌❇❆❉❈❊☛✖✕✟★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛✖✕❋✶✖✫✭✬✦✬✔☛✸✷✜✛✢✫✭✬✦✬✦✛✢✕✎✌✏☛✖✕❋✕✏✫✭✬✿✌✼✛✧✬✔✕✎✹✦✛✧✳✏✗✖✕✟✚✦☛✵✣●★✽✴❁★✪✬✦✛✢✓✍✳✏☛ ✚✦✫✭✬✿✌❍✣✢☛■✶✖☛✍✳✎❏✲☛❇★✪✙✽✌✎✳✩★✪✛✧✌✏☛❑✣✥✤✛✧✬✜❃▲✫✭✳✎✴❁★✪✌✎✛✢✫✭✬◆▼❅✛✧✣✢✕❖✛✧✴✺✹✦✣✧✛✢P❅✙✔☛✍✬✿✌◗✙✦✬✑✱❘✳✩★✪✬✔✚✑✬✔✫✭✴❙✾✦✳✏☛❚✚✯✤✙✦✬✦✛✧✌✏✗✖✕◗✕✎✛✧✴✺✹✦✣✢☛✖✕☞❃▲✫✭✳✎✌✏☛✍✴✵☛✍✬✿✌ ✛✧✬✿✌✏☛✍✳✏✶✖✫✭✬✦✬✔☛✖✶✍✌✏✗✖☛✖✕❇❯✝✴❁★✪✬✦✛✧✹✦✙✦✣●★✪✬✿✌■✚✦☛✖✕◗✛✧✬✜❃▲✫✭✳✎✴❁★✪✌✎✛✢✫✭✬✔✕❱✬✿✙✦✴✵✗✍✳✎✛✢P❅✙✔☛✖✕■✚✦☛❲✴❁★✪✬✦✛✢✓✍✳✏☛❙✚✜✛✢✕✎✌✎✳✎✛✧✾✦✙✔✗✖☛❳☛✍✌❨✴❁★✭✕✏✕✎✛✧❏✲☛✍✴✵☛✍✬✿✌ ✹❂★✪✳✩★✪✣✧✣✢✓✍✣✢☛❘❆✝❈❩✤✰★✪✹✦✹✦✳✏☛✍✬✿✌✎✛✢✕✏✕✩★✪✱✲☛❋✹❂★✪✳■✳✏☛✍✬✜❃▲✫✭✳✏✶✖☛✍✴✵☛✍✬✿✌❚☛✖✕✎✌■✙✦✬✔☛❳✌✎✒✔✗✖✫✭✳✎✛✢☛❋✶✖✫✭✴✺✹✦✙✦✌✩★✪✌✎✛✢✫✭✬✦✬✔☛✍✣✧✣✢☛✺P✿✙✦✛❬✹❭☛✍✳✎✴✵☛✍✌❲✚✦☛✟✚✦✗✸❪ ✶✍✳✎✛✧✳✏☛■✣✥✤✛✧✬✿✌✏☛✍✳✩★✭✶✍✌✎✛✢✫✭✬❫☛✍✬❅✌✎✳✏☛❲✙✦✬❫★✪✱✲☛✍✬✿✌❱☛✍✌❍✙✦✬✽☛✍✬✿❏❴✛✧✳✏✫✭✬✦✬✔☛✍✴✵☛✍✬✿✌❵▼✜☛✍✣✧✣✢☛■✹❭☛✍✳✎✴✵☛✍✌❱✚✦☛❑❃▲✫✭✳✎✴❁★✪✣✧✛✢✕✏☛✍✳❍✹✦✳✏✗✖✶✍✛✢✕✏✗✍✴✵☛✍✬✿✌❨✣✢☛ 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✁❞✞✂❉➁❭➃☎✄✆❞✞✂✞✝❑➀✝✄ ✟ ☛❙❏✲✫✭✙✔✚✜✳✩★✪✛✢✕❨✛✢✶✍✛❬✳✏☛✍✴✵☛✍✳✏✶✍✛✢☛✍✳❑✌✏✫✭✙✔✕❑✶✖☛✍✙✜✷❫P✿✙✦✛✥❯✔✚✦☛❙✹✦✳✏✓✖✕❑✫✭✙❡✚✦☛❳✣✢✫✭✛✧✬❊❯❂✫✭✬❅✌■✶✖✫✭✬❅✌✎✳✎✛✧✾✦✙✔✗✟❛✵✣●★✺✶✖✫✭✬✔✶✍✳✏✗✍✌✎✛✢✕✩★✪✌✎✛✢✫✭✬ ✚✦☛❚✶✖☛✍✌✎✌✏☛❚✌✎✒✔✓✖✕✏☛❘❆ ✟ ☛❁✹❭☛✍✬✔✕✏☛❁✌✏✫✭✙✦✌✟✚✯✤✰★✪✾✻✫✭✳✏✚➉❛❜❈❊☛✖✕✎✣✧✛✢☛✡✠❳★✭☛✍✣✧✾✦✣✧✛✧✬✦✱✔❯❉➋❑★☞☛✏★❡✡❖✒❂★✪✌✎✛✧✣●★❡☛✍✌✼➋❨☛✍✬✔✗✘➓❴✶✏✒✔✫✭✌✎✌✺P❅✙✦✛❖✫✭✬✿✌✺★✭✶✖✶✖☛✍✹✦✌✏✗✑✚✦☛ ✳✩★✪✹✦✹❭✫✭✳✎✌✏☛✍✳❲✶✖☛❳✌✎✳✩★❇❏✭★✪✛✧✣✥❆ ✟ ☛✟✕✎✙✦✛✢✕■✚✯✤✰★✪✙✦✌✩★✪✬✿✌❲✹✦✣✧✙✔✕❨✳✏☛✖✶✖✫✭✬✦✬❂★✪✛✢✕✩✕✩★✪✬✿✌❚✚✦☛❳✣●★❁P✿✙❂★✪✣✧✛✧✌✏✗✟✚✦☛❳✣✢☛✍✙✦✳✏✕■✣✢☛✖✶✍✌✎✙✦✳✏☛✖✕❇❯✝✚✦☛❙✣✢☛✍✙✦✳✏✕ ✳✏☛✍✴❁★✪✳✏P✿✙✔☛✖✕❤❯✝☛✍✌❲✚✦☛❙✣✢☛✍✙✦✳✏✕■✬✔✫✭✴✼✾✦✳✏☛✍✙✔✕✏☛✖✕❚✕✎✙✦✱❘✱✲☛✖✕✎✌✎✛✢✫✭✬✔✕❲P❅✙✔☛❙✣✢☛✟✶❇★✪✣✢☛✍✬✔✚✜✳✎✛✢☛✍✳❚P✿✙✔☛✌☛➣☛❙✣✢☛✍✙✦✳❲★✪✛s✛✧✴✺✹✻✫❘✕✏✗❙✬✔☛✼✣✢☛✍✙✦✳❚★ ✹✦✳✏✫✭✾❂★✪✾✦✣✢☛✍✴✵☛✍✬✿✌■✹❂★✭✕◗✳✏☛✍✬✔✚✜✙✔☛❚✣●★❋✌✩①✭✶✩✒✔☛❚✌✎✳✏✓✖✕❍❃✥★✭✶✍✛✧✣✢☛❘❆ ✟ ☛✺✳✏☛✍✴✵☛✍✳✏✶✍✛✢☛✡✍✦✳✏✗✖✚✦✗✍✳✎✛✢✶✏✎❑✣✢☛✸✷✔★✪✬✔✚✜✳✏☛✵☛✍✌✑✍✦✳✩★✪✬✓✒✖✫✭✛✢✕✺✡❖✒❂★✪✳✎✹✦✛✧✣✧✣✢☛✍✌✼✚✦☛✺✴❜✤✰★❇❏✲✫✭✛✧✳✟★✭✶✖✶✍✙✔☛✍✛✧✣✧✣✧✛☞✚✔★✪✬✔✕❳✣✢☛✖✕❳✗✖P❅✙✦✛✧✹❭☛✖✕ ✡✕✔■➋ ➄✕✖✞✗ ☛✍✌❙❼✘✎✚✙✛✎✼❯✯✕✩✫✭✙✦✌✏☛✍✬✿✙q❛✘✴❁★✪✛✧✬✿✌✏☛✖✕✟✳✏☛✍✹✦✳✎✛✢✕✏☛✖✕❇❯❧☛✍✌❳❃✥★✪✛✧✌❙✶✖✫✭✬✜❻✝★✪✬✔✶✖☛❁✹✻☛✍✬✔✚✔★✪✬✿✌✟✶✖☛✖✕❳✌✎✳✏✫✭✛✢✕❋★✪✬✦✬✔✗✖☛✖✕❇❆ ✟ ☛ ✹❭☛✍✬✔✕✩☛☞✗✍✱✿★✪✣✢☛✍✴✵☛✍✬❅✌❖❛❑✌✏✫✭✙✔✕❉✣✢☛✖✕❉✴✵☛✍✴❙✾✦✳✏☛✖✕❖✚✦☛✖✕☎✗✖P✿✙✦✛✧✹✻☛✖✕❩✡✕✔■➋ ➄✕✖✞✗ ☛✍✌☎❼✘✎✚✙✛✎✮P❅✙✦✛✦✫✭✬✿✌☎✌✏✫✭✙✜☛✎✫✭✙✦✳✏✕❞✗✍✌✏✗☞✹✦✳✏✗✖✕✏☛✍✬✿✌✏✕ P✿✙❂★✪✬✔✚❫✛✧✣❬✣✢☛❳❃▲★✪✣✧✣●★✪✛✧✌❇❆ ✟ ☛❙✳✏☛✍✴✵☛✍✳✏✶✍✛✢☛✼✹❂★✪✳✎✌✎✛✢✶✍✙✦✣✧✛✢✓✍✳✏☛✍✴✵☛✍✬❅✌✣✢❖★✪✬✦✬❊❯✥✤■☛✍✳✎❏✲✗❘❯ ❝ ✛✢✶✖✫✭✣●★✭✕❇❯✝❈❧★✪✙✦✳✏☛✍✬✿✌❇❯✦✎❑✣●★✪✛✧✬❡☛✍✌✧✔❑✣✧✛✧❏❅✛✢☛✍✳ ✹❭✫✭✙✦✳◗✣✢☛✍✙✦✳✏✕❨✴❙✙✦✣✧✌✎✛✧✹✦✣✢☛✖✕❨✳✏☛✍✣✢☛✖✶✍✌✎✙✦✳✏☛✖✕❇❆ ✟ ☛❚✌✎✛✢☛✍✬✔✕■❛❋✳✏☛✍✬✔✚✜✳✏☛❚✒✔✫✭✴✺✴❁★✪✱✲☛❋❛❋❼♣★✪✳✎✌✎✛✧✬✔☛★✠❲✙✦✒✦✣✧✴❁★✪✬✦✬❡☛✍✌❑❛ ❝ ★✭✚✜✛✧✬✔☛✪✩❍☛✍✙✦✳✎✬✔✗✼P✿✙✦✛✥❯✜✹❂★✪✳❱✣✢☛✍✙✦✳❲★✪✛✢✚✦☛❚✹✻☛✍✳➣❪ ✴❁★✪✬✔☛✍✬✿✌✏☛❘❯❬✛✧✬✜❃▲★✪✛✧✣✧✣✧✛✧✾✦✣✢☛③☛✍✌❙✶✖✫✭✬✔✕✏✶✍✛✢☛✍✬✔✶✍✛✢☛✍✙✔✕✏☛❘❯s✫✭✬✿✌✌☛➣✫✭✙✔✗✵✙✦✬r✳✆✫✭✣✢☛❁✶✖☛✍✳✎✌✩★✪✛✧✬➊✚✔★✪✬✔✕❳✣✢☛✺✾✻✫✭✬❵✚✦✗✍✳✏✫✭✙✦✣✢☛✍✴✵☛✍✬✿✌✺✚✦☛✵✶✖☛✖✕ ✌✎✳✏✫✭✛✢✕❨★✪✬✦✬✔✗✖☛✖✕❨☛✍✌❱✚✦☛✖✕❑✚✦☛✍✳✎✬✦✛✢☛✍✳✏✕✞☛✎✫✭✙✦✳✏✕◗✹✦✳✏✗✖✶✖✗✖✚✔★✪✬✿✌❑✣●★❋✕✏✫✭✙✦✌✏☛✍✬❂★✪✬✔✶✖☛❘❆ ✬ ✫✭✙✦✳❖❻✔✬✦✛✧✳❇❯☞☛✎☛❨✕✩★✪✣✧✙✔☛❑✌✏✫✭✙✔✕❍✶✖☛✍✙✜✷③P❅✙✦✛✥❯✿✹❂★✪✳☞✣✢☛✍✙✦✳✏✕❍✶✖✫✭✬✔✕✏☛✍✛✧✣✢✕❇❯❅✣✢☛✍✙✦✳❖✾✻✫✭✬✦✬✔☛■✒✿✙✦✴✵☛✍✙✦✳❇❯✜☛✍✌❖✣✢☛✍✙✦✳☞✹✦✳✏✗✖✕✏☛✍✬✔✶✖☛❘❯✜✫✭✬✿✌ ☛✍✬✦✳✎✛✢✶✏✒✦✛☎✣✢☛✖✕❚★✪✬✦✬✔✗✖☛✖✕❚P❅✙✦✛❬❏❴✛✢☛✍✬✦✬✔☛✍✬✿✌❳✚✦☛❋✕❇✤✐✗✖✶✖✫✭✙✦✣✢☛✍✳q▼❭➋❨✗✍✱❘✛✧✬✔☛❘❯❊➓❅✌✏☛✍✹✦✒❂★✪✬✦✛✢☛❘❯✭✢❖★✪✬✦✬❊❯✦✎❨✣●★✪✛✧✬❊❯❭❈❧★✪✙✦✳✏☛✍✬❅✌❇❯ ❝ ✛✢✶✖✫✭✣●★✭✕ ✮ ➓❴✫✭✹✦✒✦✛✢☛❘❯ ✖ ❏✲☛✍✣✧❥❅✬✔☛❘❯✦✩❍☛✍✳✎✬❂★✪✳✏✚✯❯ ❝ ✛✢✶✖✫✭✣●★✭✕ ✮ ✖ ✕✎✌✏☛✍✣✧✣✢☛❘❯✯❼♦★✪✳✎✛✢☛✸❪ ✬ ✛✢☛✍✳✎✳✏☛❘❯❊❼❡✛✢✶✏✒✔☛✍✣✧✣✢☛❘❯✦✩❍✗❇★✜❯ ✖ ✌✎✛✢☛✍✬✦✬✔☛❘❯✯✍✦✳✩★✪✬✓✒✖✫✭✛✢✕❇❯ ❝ ✛✢✶✖✫✭✣●★✭✕☎✡■❆✧❯❤❼♦★✪✌✎✒✦✛✢☛✍✙❊❯✰✔❑✌✏✫✦❯ ✟ ✙✦✣✧✛✢☛✍✬❊❯✱✠❲✒❂★✪✣✧✛✢✚✯❯☞✤■☛✍✳✎❏✲✗❘❯✲✍❂☛✍✳✎✳✩★✪✬❊❯✱✩❍☛✍✳✎✌✎✳✩★✪✬✔✚✟❼⑤❆✧❯✪✡❖✒✦✳✎✛✢✕✎✌✏✫✭✹✦✒✔☛✳✎✟❆✧❯✵✴■✛✧✬✔✶✖☛✍✬✿✌❉❼➊❆✧❯ ✴❑✛✧✬✔✶✖☛✍✬❅✌ ➄ ❆✧❯✝✡❖✒✦✳✎✛✢✕✎✌✏✫✭✹✦✒✔☛❙❈❞❆✧❯ ✟ ☛❇★✪✬✜❪ ✡❖✒❂★✪✳✎✣✢☛✖✕■☛✍✌✞☛✖✤✐☛✍✬❜✫✭✙✦✾✦✣✧✛✢☛❳✕✷✶✦✳✏☛✍✴✵☛✍✬✿✌✹✸❄P✿✙❊✤✛✧✣✢✕❱✴✵☛❚✹❂★✪✳✏✚✦✫✭✬✦✬✔☛✍✬✿✌✯✺❣✸❆✧❆✧❆
✕③❸❅⑨✗✖✙✘r❸ ✚ ✛✢✜ ⑨✖⑧ ✞✤✣✦❶❘⑧ ✚ ✥✧✦✩★✫✪✭✬✯✮✱✰✳✲✴★✫✵✶✬✷✦ ✸ ✥ ✹✻✺✳✺✱✪✭✼✽✦✷★✭✵✿✾✤✾✤❀❂❁❃✼❄✺✱❀❂✪✻✪✭✼❅✦✱❆❇✬❃✪❈✲❉✼❅❊❋✼❅✦✩★●✼❍★■✲❉✬✩✦✱✦❏✼▲❑✯✵✶✬✷✦✱✦✳✵✶✾▼❊❋✼ ✸❅◆ ❖◗P❭⑧ ✞ ⑦✝✠✞✖❬❶❘⑧✗✚❹⑦✽P ❘❉❙ ❘ ❚ ✁❅⑨✢❯➈⑦✽P ✠ ✁✴✘ ✁❱P❭⑧❇⑨ ✠ ✁❡❷✿❲❳✣❍❨✙❨ ✞ ✁❱P❭⑧✗✚❹⑨❇⑨❩✣❍❬✟✁❭❨✙✣ ✞ ✞ ✁❱P✩❯✉⑦✟✞ ❶☎✁✴✘ ✁✴P❭⑧ ❘▲❪ ❢❘❆✧❢ ✙✉✬❅✌✎✳✏✫❅✚✜✙✔✶✍✌✎✛✢✫✭✬♦★✪✙❜✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛❳✚✦☛❚✣✥✤✎❴❫✪➋✂❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢✗❵ ❢❘❆✧❢❘❆✧❢ ❈❩✤✛✧✬✿✌✏☛✍✳➣❃✥★✭✶✖☛✟★✪✱✲☛✍✬❅✌❛❫✪☛✍✬✿❏❴✛✧✳✏✫✭✬✦✬✔☛✍✴✵☛✍✬✿✌ ❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢❩❜ ❢❘❆✧❢❘❆✰♥ ❝ ✫✭✌✎✛✢✫✭✬❫✚✦☛❚✳✏✗✖✶✖✫✭✴✺✹✻☛✍✬✔✕✏☛➉❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢❩❝ ❢❘❆✰♥ ❈❊☛✖✕❱✹✦✳✏✫❴✶✖☛✖✕✏✕✎✙✔✕◗✚✦✗✖✶✍✛✢✕✎✛✢✫✭✬✦✬✔☛✍✣✢✕■✚✦☛❚❼♦★✪✳✎♠✲✫❇❏✑❻✔✬✦✛✢✕✺❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✫❞ ❢❘❆✰♥✜❆✧❢ ❈❩✤✐☛✖✕✎✹❂★✭✶✖☛❙✚✯✤✐✗✍✌✩★✪✌✏✕❑☛✍✌◗✣✥✤✒✿❥❴✹❭✫✭✌✎✒✔✓✖✕✏☛❙✚✦☛❳❼♣★✪✳✎♠✲✫❤❏➊❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✫❞ ❢❘❆✰♥✜❆✰♥ ❈❧☛❲❃❄✫✭✳✎✴❁★✪✣✧✛✢✕✏✴✵☛ ✬❏❡ ❼ ❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✜❢ ❢❘❆✰♥✜❆✰t ✍❂✫✭✬✔✶✍✌✎✛✢✫✭✬❡✚✦☛❚❏❘★✪✣✢☛✍✙✦✳❑★✭✕✏✕✏✫❴✶✍✛✢✗✖☛❳❛✟✙✦✬✔☛❚✹✻✫✭✣✧✛✧✌✎✛✢P✿✙✔☛❚✕✏✌✏✫❅✶✩✒❂★✭✕✎✌✎✛✢P✿✙✔☛➇❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥❘♥ ❢❘❆✰♥✜❆❢ ✍❂✫✭✬✔✶✍✌✎✛✢✫✭✬❡✚✦☛❚❏❘★✪✣✢☛✍✙✦✳❨✫✭✹✦✌✎✛✧✴❁★✪✣✢☛❙❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥❘t ❢❘❆✰t ❈❞✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛❤❣❍✐✫❥❧❦▲♠♦♥q♣✶♠qr❇✐✭♣tst✉▼✈ ❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✫✇ ❢❘❆✰t✜❆✧❢ ❈❩✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛❤❣❍✐▼❥①❦▲♠②♥q♣✶♠③r❇✐✫♣ts④✉▼✈ ❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✫✇ ❢❘❆✰t✜❆✰♥ ✙➈✣✧✣✧✙✔✕✎✌✎✳✩★✪✌✎✛✢✫✭✬♣☛✍✌❱P✿✙✔☛✍✣✢P❅✙✔☛✖✕❱P❅✙❂★✪✣✧✛✧✌✏✗✖✕◗❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✫⑤ ❢❘❆✰t✜❆✰t ✡☞✫✭✴✺✹✦✣✢☛✸✷✜✛✧✌✏✗❳✌✏☛✍✴✺✹✻✫✭✳✏☛✍✣✧✣✢☛❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✫❞ ❢❘❆❢ ✬ ✣●★✪✬✦✛✈❻❂✶❇★✪✌✎✛✢✫✭✬♣✚✜❥❴✬❂★✪✴✺✛✢P❅✙✔☛❳☛✍✌❭❣❍✐▼❥①❦❍♠❴♥q♣✶♠qr⑥✐✫♣ts④✉▼✈ ❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✜❢ ❢❘❆❢✔❆✧❢ ✡❖✒❂★✪✬✦✱✲☛✍✴✵☛✍✬❅✌✏✕■✳✩★✪✹✦✛✢✚✦☛✖✕❨✚✦☛❲✣●★✟❃▲✫✭✬✔✶✍✌✎✛✢✫✭✬❜✳✏✗✖✶✖✫✭✴✺✹✻☛✍✬✔✕✏☛ ❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✜❢ ❢❘❆❢✔❆✰♥ ✖ ❏✲✫✭✣✧✙✦✌✎✛✢✫✭✬♣✶✖✫✭✬❅✌✎✛✧✬✿✙✔☛❙☛✍✌❨✛✧✬✿✌✏☛✍✳✩★✭✶✍✌✎✛✧❏✲☛❙✚✦☛❳✣●★✼❃❄✫✭✬✔✶✍✌✎✛✢✫✭✬❜✳✏✗✖✶✖✫✭✴✺✹✻☛✍✬✔✕✏☛➑❆❙❆❚❆❳❆❳❆❚❆ t❘♥ ❢❘❆❢✔❆✰t ✡☞✫✭✬✔✚✜✛✧✌✎✛✢✫✭✬✔✕❑✬✔✗✖✶✖☛✖✕✏✕✩★✪✛✧✳✏☛✖✕■❛✟✙✦✬✔☛❚✾✻✫✭✬✦✬✔☛❚✚✜❥❅✬❂★✪✴✺✛✢P❅✙✔☛➇❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✫✇ ❢❘❆⑦✇ ❈❞✤✰★✪✹✦✹✦✳✏✫❅✶✩✒✔☛✑✎❴❫✪➋ ❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✫❜ ❢❘❆⑦✇✜❆✧❢ ✖ ✕✎✌✎✛✧✴❁★✪✌✎✛✢✫✭✬❡✚✦☛✖✕◗✹❂★✪✳✩★✪✴✵✓✍✌✎✳✏☛✖✕➊▼✔★✖❏✲☛✖✶✼✫✭✙❜✕✩★✪✬✔✕◗✳✏☛✍✹✦✳✏✗✖✕✏☛✍✬❅✌✩★✪✌✎✛✢✫✭✬❡✛✧✬❅✌✏☛✍✳✎✬✔☛⑨⑧ ❆❚❆ t✫❝
❢❘❆⑦✇✜❆✰♥ ❈❊☛❙✚✜✛✧✣✢☛✍✴✺✴✵☛❙☛✸✷✜✹✦✣✢✫✭✳✩★✪✌✎✛✢✫✭✬✽❫✪☛✸✷❴✹✦✣✢✫✭✛✧✌✩★✪✌✎✛✢✫✭✬➇❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❈❞ ☛ ☞ P ✁ ✞ ❸❱❨❞⑦✽P❬⑨ ✁❜❶✿⑦✽P✙P ✁✂✌✷✚⑦ P✩P✙✚❹⑨✖⑧ ✁●✣▲✖ ❨ ✞✪⑦ ✜ ❷✎✍❱✘ ✁✂✠ ✁♣❷✿❲✛✑✏ ✕ ✒✔✓ ♥✜❆✧❢ ✬ ✫✭✙✦✳❨✙✦✬✔☛❳★✪✹✦✹✦✳✏✫❴✶✏✒✔☛❙✛✧✬✔✚✜✛✧✳✏☛✖✶✍✌✏☛ ❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢✿t ♥✜❆✧❢❘❆✧❢ ✕❑✬❫★✪✳✎✱❘✙✦✴✵☛✍✬✿✌■✱✲✗✍✬✔✗✍✳✩★✪✣❊✣✧✛✢✗❙❛✟✣●★✟✌✩★✪✛✧✣✧✣✢☛❳✚✦☛❳✣✥✤✐☛✖✕✎✹❂★✭✶✖☛❳✚✯✤✐✗✍✌✩★✪✌✏✕ ❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢✿t ♥✜❆✧❢❘❆✰♥ ✕❑✬❫★✪✳✎✱❘✙✦✴✵☛✍✬✿✌■✣✧✛✢✗❳❛❋✣●★✟✴❙✙✦✣✧✌✎✛✧✹✦✣✧✛✢✶✍✛✧✌✏✗✟✚✦☛✖✕◗✌✩①✭✶✩✒✔☛✖✕③❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢✫❢ ♥✜❆✰♥ ❡ ☛✖✕✏✶✍✳✎✛✧✹✦✌✎✛✢✫✭✬❡✚✜✙❜✳✏✗✖✕✏☛❇★✪✙ ❆❚❆❙❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢✫❢ ♥✜❆✰♥✜❆✧❢ ❡ ✗✸❻✔✬✦✛✧✌✎✛✢✫✭✬❡✚✦☛✖✕❱✙✦✬✦✛✧✌✏✗✖✕❨☛✍✌❱✚✦☛✖✕❱✶✖✫✭✬✦✬✔☛✸✷✜✛✢✫✭✬✔✕ ❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❈✇ ♥✜❆✰♥✜❆✰♥ ❈❊✫✭✛✢✕❑✚✯✤✰★✪✹✦✹✦✳✏☛✍✬✿✌✎✛✢✕✏✕❀★✪✱✲☛❙✚✦☛✖✕❱✶✖✫✭✬✦✬✔☛✸✷✜✛✢✫✭✬✔✕ ❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❈⑤ ♥✜❆✰♥✜❆✰t ❈❊✫✭✛✢✕❑✚✯✤✰★✪✹✦✹✦✳✏☛✍✬✿✌✎✛✢✕✏✕❀★✪✱✲☛❙✚✦☛✖✕◗✙✦✬✦✛✧✌✏✗✖✕✮❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❈❜ ♥✜❆✰♥✜❆❢ ❈❊✫✭✛✢✕❑✚✯✤✐✗✍❏✲✫✭✣✧✙✦✌✎✛✢✫✭✬❡✚✦☛❲✣✥✤✰★✭✶✍✌✎✛✧❏❴✛✧✌✏✗❙✚✦☛✖✕◗✙✦✬✦✛✧✌✏✗✖✕ ❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ✇✫❞ ♥✜❆✰♥✜❆⑦✇ ❼♣✗✖✶❇★✪✬✦✛✢✕✎✴✵☛❳✚✦☛❳✕✩✗✍✣✢☛✖✶✍✌✎✛✢✫✭✬❫✚✦☛❲✣✥✤✰★✭✶✍✌✎✛✢✫✭✬➎❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ✇✫❞ ♥✜❆✰t ✕❑✬✔☛❳★✪✳✏✶✏✒✦✛✧✌✏☛✖✶✍✌✎✙✦✳✏☛✼✴❁★✭✕✏✕✎✛✧❏✲☛✍✴✵☛✍✬❅✌❨✹❂★✪✳✩★✪✣✧✣✢✓✍✣✢☛❳☛✍✌❨✌✏✫✭✣✢✗✍✳✩★✪✬✿✌✏☛✼★✪✙✜✷✘✹❂★✪✬✦✬✔☛✖✕✽❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ✇✫❞ ♥✜❆✰t✜❆✧❢ ✕❑✬✽✹❂★✪✳✩★✪✣✧✣✢✗✍✣✧✛✢✕✎✴✵☛❳✴❁★✭✕✩✕✎✛✈❃❩❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ✇✜❢ ♥✜❆✰t✜❆✰♥ ➄ ✫✭✣✢✗✍✳✩★✪✬✔✶✖☛✟★✪✙✜✷✘✹❂★✪✬✦✬✔☛✖✕➎❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ✇❘♥ ✖ ⑦✽P❬❶✿❷t✖❧⑨✗✚❹⑦ P ❙❅❙ ✥✫✥ ✹✻✺✳✺✱✪✭✼❅✦✩★✭✵✶✾▼✾✤❀❂❁❃✼❄✮✘✗✰✳✦❏✼ ✪✭✼▲✺✳✪✚✙❅✾✤✼❅✦✩★✫❀ ★✫✵✶✬✷✦☛✵✶✦✩★✫✼▲✪❈✦✱✼ ✛✢✜ ❖③P❭⑧ ✞✪⑦✝✠✞✖❧❶❘⑧✗✚❹⑦ P ❙✤✣ ✓ ✥✯⑦✽P ✠ ✁❱✘ ✁✴P❭⑧❇⑨✺⑧✧✦❬❸✿⑦ ✞▼✚✎★❃✖ ✁❅⑨ ✠ ✁❡❷✿❲❳✣❍❨✩❨ ✞ ⑦✩✌✷✚t✘ ✣✜⑧✗✚❹⑦ P ✠✱❲✖✙P✫✪✟✬✽⑥ ❨✩✣ ✞ ✣❍❬ ✞✪❸❈❬✽✣✜⑧✗✚⑦ P ✭ ❘ t✜❆✧❢ ❈❬★❋✴✵☛✖✕✎✙✦✳✏☛❳✚✯✤✙✦✬✔☛❙★✪✹✦✹✦✳✏✫❇✷❴✛✧✴❁★✪✌✎✛✢✫✭✬ ❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ⑤✜❢ t✜❆✧❢❘❆✧❢ ✡❍★✭✕❨✱✲✗✍✬✔✗✍✳✩★✪✣■❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ⑤✜❢ t✜❆✧❢❘❆✰♥ ✎❑✹✦✹✦✣✧✛✢✶❇★✪✌✎✛✢✫✭✬♣★✪✙❜✶❇★✭✕❑✚✦☛❲✣✥✤✰★✪✹✦✹✦✳✏✫✖✷✜✛✧✴❁★✪✌✎✛✢✫✭✬❡✹❂★✪✳❑★✪✱❘✳✏✗✍✱✿★✪✌✎✛✢✫✭✬ ❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ⑤❘t t✜❆✧❢❘❆✰t ✙➈✣✧✣✧✙✔✕✎✌✎✳✩★✪✌✎✛✢✫✭✬❫✕✎✙✦✳❑✚✦☛✍✙✜✷✑✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛✖✕✵❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ⑤✫⑤ t✜❆✰♥ ❡ ✗✍✹✻☛✍✬✔✚✔★✪✬✔✶✖☛✖✕❱✬✔✫✭✬❜✣✢✫❴✶❇★✪✣✢☛✖✕r▼✜✣●★❋✬✔✫✭✌✎✛✢✫✭✬❡✚✯✤✛✧✬✯✮✔✙✔☛✍✬✔✶✖☛❁❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ⑤✫❝ t✜❆✰♥✜❆✧❢ ✙➈✬✯✮✔✙✔☛✍✬✔✶✖☛❳✕✎✙✦✳❱✙✦✬❜✗✍✌✩★✪✌❑❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❵❴❢ t✜❆✰♥✜❆✰♥ ✙➈✬✯✮✔✙✔☛✍✬✔✶✖☛❚✹✻✫✭✬✔✚✦✗✍✳✏✗✖☛➌❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❵✭♥ t✜❆✰t ➋❑✗✖✚✜✙✔✶✍✌✎✛✢✫✭✬❫✚✦☛❚✣✥✤✐☛✍✳✎✳✏☛✍✙✦✳❨✚✯✤✰★✪✹✦✹✦✳✏✫❇✷❴✛✧✴❁★✪✌✎✛✢✫✭✬◆❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❵▼✇ ✒ ✛ ✘❵❸❅❷t✚❹⑦ ✞✤✣✜⑧✗✚❹⑦✽P●✚⑧❇❸ ✞✤✣✜⑧✗✚✱✰✟✁ ✠✱❲✖✙P ✁♦✣❍❨✙❨ ✞✪⑦✩✌✷✚✘ ✣✜⑧✗✚❹⑦✽P ❨✙✣ ✞ ✣❍❬ ✞✪❸❈❬✽✣✜⑧✗✚⑦ P ❺ ✁✚✌❃❨❩❸ ✞▼✚✁✴P❧❶ ✁✿⑨✳✲ ❘ ❢✔❆✧❢ ❡ ☛✖✕✏✶✍✳✎✛✧✹✦✌✎✛✢✫✭✬❫✱✲✗✍✬✔✗✍✳✩★✪✣✢☛❙✚✜✙✽✹✦✳✏✫✭✌✏✫❴✶✖✫✭✣✢☛❙☛✸✷✜✹❭✗✍✳✎✛✧✴✵☛✍✬❅✌✩★✪✣③❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❜✜❢ ❢✔❆✧❢❘❆✧❢ ✕❑✬✔☛❚✌✏☛✖✶✏✒✦✬✦✛✢P❅✙✔☛❳✚✯✤✰★✪✱❘✳✏✗✍✱✿★✪✌✎✛✢✫✭✬ ❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❜❘♥ ❢✔❆✧❢❘❆✰♥ ❼♣✗✍✌✎✒✔✫❅✚✦☛❙✚✯✤✐☛✖✕✎✌✎✛✧✴❁★✪✌✎✛✢✫✭✬❡✚✦☛✖✕◗✹❂★✪✳✩★✪✴✵✓✍✌✎✳✏☛✖✕ ❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❜❘♥
❢✔❆✰♥ ✬ ✳✏☛✍✴✺✛✢☛✍✳✏✕❨✳✏✗✖✕✏✙✦✣✧✌✩★✪✌✏✕❱☛✍✴✺✹✦✛✧✳✎✛✢P✿✙✔☛✖✕✑❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❜✤❢ ❢✔❆✰♥✜❆✧❢ ✬ ✳✏✫❅✶✖✗✖✚✦✗✼✚✦☛❚✕✎✹❭✗✖✶✍✛●★✪✣✧✛✢✕❀★✪✌✎✛✢✫✭✬ ❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❜✤❢ ❢✔❆✰♥✜❆✰♥ ✬ ✳✏✫❅✶✖✗✖✚✦✗✼✚✦☛❲✱✲✗✍✬✔✗✍✳✩★✪✣✧✛✢✕✩★✪✌✎✛✢✫✭✬ ❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❜✤❢ ❢✔❆✰♥✜❆✰t ✬ ✳✏✫❅✶✖✗✖✚✦✗✼✚✯✤✰★✪✹✦✹✦✳✏☛✍✬✿✌✎✛✢✕✏✕✩★✪✱✲☛♦❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❜✫❜ ❢✔❆✰♥✜❆❢ ❡ ✛✢✕✏✶✍✙✔✕✩✕✎✛✢✫✭✬ ❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❜✫❜ ❢✔❆✰t ✬ ✳✏✫✭✹❭✫❘✕✏✛✧✌✎✛✢✫✭✬❡✚✯✤✒✔☛✍✙✦✳✎✛✢✕✎✌✎✛✢P❅✙✔☛✖✕❱✱✲✗✍✬✔✗✍✳✩★✪✣✢☛✖✕❑✫✭✹✦✌✎✛✧✴✺✛✢✕✎✌✏☛✖✕ ❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❜✫❜ ❢✔❆✰t✜❆✧❢ ✤■☛✍✙✦✳✎✛✢✕✎✌✎✛✢P❅✙✔☛❱❢❜▼❇➋❑✗✍✛✧✬✜☛➣☛✖✶✍✌✎✛✢✫✭✬✼✚✦☛☎✣✥✤✰★✪✹✦✹✦✳✏✫✖✷✜✛✧✴❁★✪✌✎✛✢✫✭✬✟✚✔★✪✬✔✕❊✣✢☛❞✶❇★✪✣✢✶✍✙✦✣❅✚✦☛❉✣✥✤✐☛✍✳✎✳✏☛✍✙✦✳ ✚✯✤✛✧✬❅✌✏☛✍✳✎✹❭✫✭✣●★✪✌✎✛✢✫✭✬♣✹✻✫✭✙✦✳❱✙✦✬✔☛❳★✪✱❘✳✏✗✍✱✿★✪✌✎✛✢✫✭✬ ❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❝✫❞ ❢✔❆✰t✜❆✰♥ ✤■☛✍✙✦✳✎✛✢✕✎✌✎✛✢P❅✙✔☛❙♥➇▼✓✩☞✛●★✪✛✢✕❱✚✦☛❚✣●★✟➍❇✫✭✬✔☛❙✚✦☛❚✚✜✛✧✴✺✛✧✬✿✙✦✌✎✛✢✫✭✬♦✚✦☛❲✣✥✤✐☛✍✳✎✳✏☛✍✙✦✳ ❆❚❆❙❆❚❆❳❆❳❆❚❆ ❝✫❞ ❢✔❆✰t✜❆✰t ✤■☛✍✙✦✳✎✛✢✕✎✌✎✛✢P❅✙✔☛❙t➇▼✓✩☞✛●★✪✛✢✕❱✚✜✙ ✮✔✙✜✷✽✚✯✤✐☛✍✳✎✳✏☛✍✙✦✳ ❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❝✜❢ ❢✔❆✰t✜❆❢ ✖ ❏✭★✪✣✧✙❂★✪✌✎✛✢✫✭✬♣☛✸✷❴✹✻✗✍✳✎✛✧✴✵☛✍✬✿✌✩★✪✣✢☛✼✚✦☛✖✕◗✒✔☛✍✙✦✳✎✛✢✕✎✌✎✛✢P❅✙✔☛✖✕✟❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❝✜❢ ❢✔❆❢ ✎❨✹✦✹✦✣✧✛✢✶❇★✪✌✎✛✢✫✭✬♦❛❋✚✦☛✖✕◗✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛✖✕❑✚✯✤✎❴❫✪➋↔✶✖✫✭✴✺✹✦✣✢☛✸✷✦☛✖✕ ❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❝✫❜ ❢✔❆❢✔❆✧❢ ✕❑✬❜✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛❳✚✦☛❳✬❂★✖❏❴✛✧✱✿★✪✌✎✛✢✫✭✬❫✹❂★✪✳❨★✭✶✖✶✖✗✍✣✢✗✍✳✩★✪✌✎✛✢✫✭✬ ❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❝✫❜ ❢✔❆❢✔❆✰♥ ✕❑✬❜✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛❳✚✯✤✐✫✭✾✔✕✩☛✍✳✎❏✭★✪✾✦✛✧✣✧✛✧✌✏✗❙✹❂★✪✳✎✌✎✛✢☛✍✣✧✣✢☛ ❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❩❞✜❢ ❢✔❆❢✔❆✰t ✡☞✫✭✬✔✚✜✙✦✛✧✌✏☛✼✚✯✤✙✦✬❫☛✍✬✦✱❘✛✧✬❫✚✦☛❚✌➈❥❅✹✻☛❲❏✲✫✭✛✧✌✎✙✦✳✏☛q❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❩❞✤❢ ✖ ⑦✽P❬❶✿❷t✖❬⑨✗✚❹⑦✽P ❘ ✁ ✣ ✥✫✥✫✥ ✹ ✰❏★✫✬✄✂q✬❃✪❈❁❃❀ ✦✱✵✶✾✤❀ ★✭✵✬✷✦☛❊❋✬✯✮✱✰✆☎ ❀ ✵✪✭✼ ✸❃✸❃✸ ❖◗P❭⑧ ✞ ⑦✝✠✞✖❬❶❘⑧✗✚❹⑦✽P ❘✽❘✩✓ ❙ ✖ ✣✜⑧❇❸❈❬✝⑦ ✞▼✚❹⑨❩✣✜⑧✗✚❹⑦✽P❋❨✩✣ ✞ ★❃✖✷✣▲P❭⑧✗✚✞✝❉❶✭✣✜⑧ ✁❱✖ ✞✪⑨ ✁✲⑧ P❬⑦ ✄✽✣▲✖ ✌ ❘✽❘❉❙ ✇✜❆✧❢ ✟❑✙❂★✪✬✿✌✎✛✈❻❂✶❇★✪✌✎✛✢✫✭✬♣❏✲☛✖✶✍✌✏✫✭✳✎✛✢☛✍✣✧✣✢☛ ❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❘❢❩✇ ✇✜❆✧❢❘❆✧❢ ❡ ✗✸❻✔✬✦✛✧✌✎✛✢✫✭✬✔✕ ❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❘❢❩✇ ✇✜❆✧❢❘❆✰♥ ✍❂✫✭✳✎✴❁★✪✣✧✛✢✕✩★✪✌✎✛✢✫✭✬♣✚✜✙✽✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛✼✚✦☛❳✶❇★✪✌✏✗✍✱✲✫✭✳✎✛✢✕✩★✪✌✎✛✢✫✭✬ ❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❘❢❩⑤ ✇✜❆✧❢❘❆✰t ❈❩✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛✼✚✦☛✖✕✡✠☞☛ ✞✢♠⑥✐▼✈ ✆✮❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❘❢✗❵ ✇✜❆✧❢❘❆❢ ✕❑✬✔☛❚❏✲☛✍✳✏✕✎✛✢✫✭✬♣★✭✚✔★✪✹✦✌✩★✪✌✎✛✧❏✲☛❙✚✦☛✖✕✡✠✌☛✞✢♠⑥✐▼✈ ✆ ❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❘❢❩❜ ✇✜❆✧❢❘❆⑦✇ ❡ ✛✢✕✏✶✍✙✔✕✩✕✎✛✢✫✭✬ ❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❇♥✫❞ ✇✜❆✰♥ ❈❧★✺✶❇★✪✌✏✗✍✱✲✫✭✳✎✛✢✕✩★✪✌✎✛✢✫✭✬❡✹❂★✪✳❱✬✔✫❇❥✿★✪✙✜✷ ❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❇♥✜❢ ✇✜❆✰♥✜❆✧❢ ❡ ✗✸❻✔✬✦✛✧✌✎✛✢✫✭✬✔✕ ❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❇♥✜❢ ✇✜❆✰♥✜❆✰♥ ❈❩✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛✼✚✦☛✖✕◗✬❅✙✔✗✖☛✖✕❨✚✜❥❴✬❂★✪✴✺✛✢P✿✙✔☛✖✕ ❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❇♥✜❢ ✇✜❆✰♥✜❆✰t ✕❑✬✔☛❚❏✲☛✍✳✏✕✎✛✢✫✭✬♣★✭✚✔★✪✹✦✌✩★✪✌✎✛✧❏✲☛❙✚✦☛✖✕◗✬❅✙✔✗✖☛✖✕❨✚✜❥❴✬❂★✪✴✺✛✢P✿✙✔☛✖✕❑❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❇♥❘♥ ✭ ❚ ❲❳✣▲✖❧⑧❇⑦✦⑩✩⑦✟✞✧❬✽✣▲P✩✚❹⑨❩✣✜⑧✗✚❹⑦✽P❋✘r⑦✝✠✞✖s❷ ✣▲✚✞ ✁❜⑦✽✖ ❷✣➌❶✭✣✜⑧❇❸❈❬✝⑦ ✞▼✚⑨✗✣✜⑧✗✚⑦ P ✠ ✁✑✪ ✬✽⑥ ❘ ☛ ❙ ⑤✜❆✧❢ ❼❡✫❴✚✜✙✦✣●★✪✳✎✛✧✌✏✗❳☛✍✌✌✎❴❫✪➋ ❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❇♥✫⑤ ⑤✜❆✧❢❘❆✧❢ ❡ ✗✸❻✔✬✦✛✧✌✎✛✢✫✭✬✔✕ ❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆➅❢❇♥✫⑤
⑤✜❆✧❢❘❆✰t ✎❑✹✦✹✦✣✧✛✢✶❇★✪✌✎✛✢✫✭✬❡✚✦☛✖✕◗✬❅✙✔✗✖☛✖✕❨✚✜❥❴✬❂★✪✴✺✛✢P✿✙✔☛✖✕■★✭✚✔★✪✹✦✌✩★✪✌✎✛✧❏✲☛✖✕ ❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❇♥✭❵ ⑤✜❆✰♥ ✕❑✬✔☛❲✴✺✛✢✕✏☛❳☛✍✬✁❲✙✦❏❴✳✏☛❳☛✸✷✜✹❭✗✍✳✎✛✧✴✵☛✍✬❅✌✩★✪✣✢☛ ❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❇♥✫❜ ⑤✜❆✰♥✜❆✧❢ ❡ ☛✖✕✏✶✍✳✎✛✧✹✦✌✎✛✢✫✭✬♣✚✦☛❲✣✥✤✐☛✸✷✜☛✍✴✺✹✦✣✢☛❚✌✎✳✩★✪✛✧✌✏✗ ❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❇♥✫❜ ⑤✜❆✰♥✜❆✰♥ ➋❑✗✖✕✎✙✦✣✧✌✩★✪✌✏✕❱✚✦☛❚✣●★❋✶✍✣●★✭✕✏✕✏✛✈❻❂✶❇★✪✌✎✛✢✫✭✬ ❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❇♥✫❝ ⑤✜❆✰♥✜❆✰t ✡☞✫✭✴✺✴✵☛✍✬❅✌✩★✪✛✧✳✏☛✖✕ ❆❚❆❙❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢❇t✜❢ ✖ ⑦✽P❬❶✿❷t✖❧⑨✗✚❹⑦ P ❘✯✓ ✓ ✂ ✬✷✦✱✲ ☎✿✰✱✾▼✵ ✬✷✦✔❁ ✙✽✦ ✙▲✪✭❀ ☎✶✼ ✸❅◆ ✛ ✹ ✦✳✦❏✼❍❑✯✼ ✸☎✄✱✸ ✛ P✙P ✁✂✌ ✁ ✛✝✆ ✞✡✞ ✁❱✖ ✞ ✠✳❲✣❍❨✙❨ ✞ ⑦✩✌✷✚t✘ ✣✜⑧✗✚❹⑦✽P ✁✲⑧ ✚tP✟✞✞✖ ✁❱P❬❶☎✁ ❘✩✒✔✓ ✎✼❆✧❢ ➋❑☛✍✣●★✪✌✎✛✢✫✭✬❫☛✍✬✿✌✎✳✏☛❳✣✥✤✐☛✍✳✎✳✏☛✍✙✦✳❑✚✯✤✛✧✬✿✌✏☛✍✳✎✹✻✫✭✣●★✪✌✎✛✢✫✭✬♦☛✍✌◗✣✥✤✐☛✍✳✎✳✏☛✍✙✦✳❨✚✯✤✰★✪✹✦✹✦✳✏✫✖✷✜✛✧✴❁★✪✌✎✛✢✫✭✬⑤❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢③❢✿t ✎✟❆✧❢❘❆✧❢ ✖ ✬✔✫✭✬✔✶✖✗ ❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢③❢✿t ✎✟❆✧❢❘❆✰♥ ❡ ✗✍✴✵✫✭✬✔✕✎✌✎✳✩★✪✌✎✛✢✫✭✬ ❆❚❆❙❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢③❢✫❢ ✎✼❆✰♥ ✬ ✳✏✫✭✹✦✳✎✛✢✗✍✌✏✗✖✕❑✚✦☛❲✣✥✤✛✧✬✯✮✔✙✔☛✍✬✔✶✖☛✮❆❙❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢③❢❈✇ ✎✟❆✰♥✜❆✧❢ ✖ ✬✔✫✭✬✔✶✖✗ ❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢③❢❈✇ ✎✟❆✰♥✜❆✰♥ ❡ ✗✍✴✵✫✭✬✔✕✎✌✎✳✩★✪✌✎✛✢✫✭✬✔✕ ❆❙❆❚❆❳❆❳❆❚❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆ ❢③❢❈⑤ ✠ ✚ ✜ ❷✚❹⑦✽❬ ✞✤✣❍❨ ✦✙✚✁ ❘✩✒ ❪
❢ ✟❑✙✔☛✍✣✢P❅✙✔☛✖✕❱✱❘✳✩★✪✬✔✚✦✕❨✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛✖✕❨✚✦☛❚✣✥✤✛✧✬❅✌✏☛✍✣✧✣✧✛✧✱✲☛✍✬✔✶✖☛✼★✪✳✎✌✎✛✈❻❂✶✍✛✢☛✍✣✧✣✢☛ ❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ✇ ♥ ✟❑✙✔☛✍✣✢P❅✙✔☛✖✕❱✱❘✳✩★✪✬✔✚✦☛✖✕❨✌✏☛✖✶✏✒✦✬✦✛✢P❅✙✔☛✖✕❨✚✦☛❚✣✥✤✛✧✬❅✌✏☛✍✣✧✣✧✛✧✱✲☛✍✬✔✶✖☛✟★✪✳✎✌✎✛✈❻❂✶✍✛✢☛✍✣✧✣✢☛ ❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ⑤ t ➋❑✗✖✕✏☛❇★✪✙✜✷✽✚✦☛❲✬✔☛✍✙✦✳✏✫✭✬✔☛✖✕❇❯❂✶✖✫✭✬✦✬✔☛✸✷✜✛✢✫✭✬✦✬✦✛✢✕✎✴✵☛❙☛✍✌◗✬✔☛✍✙✦✳✏✫✭✴✺✛✧✴✵✗✍✌✎✛✢P❅✙✔☛ ❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢❩❞ ❢❘❆✧❢ ✙➈✬✿✌✏☛✍✳➣❃✥★✭✶✖☛❳☛✍✬❅✌✎✳✏☛❳✣✥✤✰★✪✱✲☛✍✬✿✌■☛✍✌◗✣✥✤✐☛✍✬✿❏❴✛✧✳✏✫✭✬✦✬✔☛✍✴✵☛✍✬✿✌■❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢❩❜ ❢❘❆✰♥ ❝ ★✖❏❴✛✧✱✿★✪✌✎✛✢✫✭✬❡✚✜✛✢✕✩✶✍✳✏✓✍✌✏☛ ❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✜❢ ❢❘❆✰t ✍❂✫✭✬✔✶✍✌✎✛✢✫✭✬r✚✦☛✼❏❘★✪✣✢☛✍✙✦✳❚✚✯✤✙✦✬✔☛✟✹❭✫✭✣✧✛✧✌✎✛✢P❅✙✔☛✟★✪✣✢✗❇★✪✌✏✫✭✛✧✳✏☛❋✹✻☛✍✬✔✚✔★✪✬✿✌❚✣✥✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛ ✬ ✫✭✣✧✛✢✶✍❥ ✖ ❏✭★✪✣✧✙❂★ ❪ ✌✎✛✢✫✭✬♣★✪✙✜✷✑✛✧✬✔✕✎✌✩★✪✬❅✌✏✕✝✆✟✞ ❼ ❯✡✠❘❯ ❺ ❯ ❽ ❯☛✔❯✌☞✜❯✡✠ ❼ ❯✡✠✍☞✜❯✌✎✑✏✓✒✕✔✗✖ ❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✤❢ ❢❘❆❢ ✍❂✫✭✬✔✶✍✌✎✛✢✫✭✬♣✚✦☛❙❏✭★✪✣✢☛✍✙✦✳❨☛✍✌❑✹✦✣●★✪✬❫✹✻☛✍✬✔✚✔★✪✬✿✌❑✣✥✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛❤❣❍✐▼❥①❦▲♠ ♥q♣✶♠qr⑥✐✫♣tst✉✫✈➌★✪✙✜✷✽✛✧✬✔✕✎✌✩★✪✬❅✌✏✕✘✆✙✞ ❼✛✚ ✠ ✚➡❺✗✚➡❽✗✚ ☛ ✚ ☞ ❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✭❵ ❢❘❆⑦✇ ✍❂✫✭✬✔✶✍✌✎✛✢✫✭✬♣✚✦☛❙❏✭★✪✣✢☛✍✙✦✳❨☛✍✌❑✹✦✣●★✪✬❫✹✻☛✍✬✔✚✔★✪✬✿✌❑✣✥✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛❤❣❍✐▼❥①❦▲♠ ♥q♣✶♠qr⑥✐✫♣tst✉✫✈➌★✪✙✜✷✽✛✧✬✔✕✎✌✩★✪✬❅✌✏✕✘✆✙✞ ⑩ ✚✢✜✣✚✥✤✗✚✥✦✗✚ ✠ ❼✛✚ ✠✧✠❡❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✫❜ ❢❘❆⑦⑤ ✍❂✫✭✬✔✶✍✌✎✛✢✫✭✬♣✚✦☛❙❏✭★✪✣✢☛✍✙✦✳❨☛✍✌❑✹✦✣●★✪✬❫✹✻☛✍✬✔✚✔★✪✬✿✌❑✣✥✤✰★✪✣✧✱✲✫✭✳✎✛✧✌✎✒✦✴✵☛❤❣❍✐▼❥①❦▲♠ ♥q♣✶♠qr⑥✐✫♣tst✉✫✈➌★✪✙✜✷✽✛✧✬✔✕✎✌✩★✪✬❅✌✏✕✘✆✙✞ ✠ ❺✗✚ ✠ ❽✗✚ ✠ ✤✗✚➡❺✭❽✗✚➡❺✧✤✗✚ ✎✑✏✓✒✕✔✣✖ ❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ♥✫❝ ❢❘❆❵ ✖ ✷✜☛✍✴✺✹✦✣✢☛✟✚✦☛❚✌✎✳✩★☞☛✎☛✖✶✍✌✏✫✭✛✧✳✏☛✖✕❨✛✧✬✔✚✜✙✦✛✧✌✏☛✖✕❑✹❂★✪✳❨✣●★❋✹✦✣●★✪✬✦✛✈❻❂✶❇★✪✌✎✛✢✫✭✬r★❇❏✲☛✖✶❙✚✜✛✩★✯✗✍✳✏☛✍✬✿✌✏☛✖✕■❏✭★✪✣✢☛✍✙✦✳✏✕❑✚✦☛✫✪ ☛✍✌❑✚✦☛❲✹✦✙✦✬✦✛✧✌✎✛✢✫✭✬↔❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✫❞ ❢❘❆⑦❜ ❝ ★✖❏❴✛✧✱✿★✪✌✎✛✢✫✭✬❡✚✜✛✢✕✩✶✍✳✏✓✍✌✏☛❚✴❙✙✦✣✧✌✎✛✈❪✥✌✩①✭✶✩✒✔☛ ❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t❘♥ ❢❘❆⑦❝ ✴❩★✪✳✎✛●★✪✌✎✛✢✫✭✬✽✚✦☛❑✣●★❚❃▲✫✭✬✔✶✍✌✎✛✢✫✭✬✘✚✦☛❨❏❘★✪✣✢☛✍✙✦✳❍★✪✙✑✶✖✫✭✙✦✳✏✕❍✚✜✙③✌✏☛✍✴✺✹✔✕☞✣✢✫✭✳✏✕✏P❅✙❊✤✐✫✭✬✑✶✩✒❂★✪✬✦✱✲☛❲✕✎✙✦✾✦✛✧✌✏☛✍✴✵☛✍✬✿✌ ✚✦☛❚❃❄✫✭✬✔✶✍✌✎✛✢✫✭✬❜✳✏✗✖✶✖✫✭✴✺✹✻☛✍✬✔✕✏☛❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t❘t ❢❘❆✧❢❩❞ ✎◗✚✔★✪✹✦✌✩★✪✌✎✛✢✫✭✬❜✚✦☛■✣●★❳❃❄✫✭✬✔✶✍✌✎✛✢✫✭✬✽✚✦☛❑❏✭★✪✣✢☛✍✙✦✳◗☛✍✌❍✚✜✙✘✹✦✣●★✪✬✑✣✢✫✭✳✏✕❍✚✯✤✙✦✬✽✶✏✒❂★✪✬✦✱✲☛✍✴✵☛✍✬❅✌❨✚✦☛❑✳✏✗✖✶✖✫✭✴✺✹❭☛✍✬✔✕✏☛ t✤❢ ❢❘❆✧❢❘❢⑤❈❧✗✍✱✲☛✍✬✔✚✦☛❳✹✻✫✭✙✦✳◗✣✢☛✖✕❍❻✔✱❘✙✦✳✏☛✖✕❙❢❘❆✧❢❇♥✺☛✍✌✼❢❘❆✧❢❇t ❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✫✇ ❢❘❆✧❢❇♥ ✖ ❏✲✫✭✣✧✙✦✌✎✛✢✫✭✬✘✚✦☛❑✣●★❲❃▲✫✭✬✔✶✍✌✎✛✢✫✭✬✽✚✦☛❱❏❘★✪✣✢☛✍✙✦✳❖✣✢✫✭✳✏✕☞✚✦☛❑✣●★❳❏❘★✪✳✎✛●★✪✌✎✛✢✫✭✬✑✶✖✫✭✬❅✌✎✛✧✬✿✙✔☛❚☛✍✌❖✛✧✬✿✌✏☛✍✳✩★✭✶✍✌✎✛✧❏✲☛❚✚✦☛❱✣●★ ✳✏✗✖✶✖✫✭✴✺✹✻☛✍✬✔✕✏☛❙❛✬✆✭✞ ❼✛✚ ✠ ❼✛✚➡❺✌❼✛✚✯✮✡✮✡✚ ✠ ✦✌❼ ❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✫⑤ ❢❘❆✧❢❇t ✖ ❏✲✫✭✣✧✙✦✌✎✛✢✫✭✬✘✚✦☛❑✣●★❲❃▲✫✭✬✔✶✍✌✎✛✢✫✭✬✽✚✦☛❱❏❘★✪✣✢☛✍✙✦✳❖✣✢✫✭✳✏✕☞✚✦☛❑✣●★❳❏❘★✪✳✎✛●★✪✌✎✛✢✫✭✬✑✶✖✫✭✬❅✌✎✛✧✬✿✙✔☛❚☛✍✌❖✛✧✬✿✌✏☛✍✳✩★✭✶✍✌✎✛✧❏✲☛❚✚✦☛❱✣●★ ✳✏✗✖✶✖✫✭✴✺✹✻☛✍✬✔✕✏☛❙❛✬✆✭✞ ❺✌❼✭❼✛✚➡❺ ✠ ❼✛✚➡❺✭❺✌❼✛✚✯✮✡✮✡✚➡❽✧✦✠❼ ❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✭❵ ❢❘❆✧❢③❢ ✖ ❏✲✫✭✣✧✙✦✌✎✛✢✫✭✬➅✚✦☛✖✕③✾❭☛✖✕✩✫✭✛✧✬✔✕③★✪✙ ✶✖✫✭✙✦✳✏✕③✚✦☛❜✣✥✤✐☛✸✷✜✹❭✗✍✳✎✛✢☛✍✬✔✶✖☛❡✕✎✙✦✳❁✣✥✤✰★✭✚✔★✪✹✦✌✩★✪✌✎✛✢✫✭✬ ❛➌✙✦✬✔☛❜❃❄✫✭✬✔✶✍✌✎✛✢✫✭✬ ✳✏✗✖✶✖✫✭✴✺✹✻☛✍✬✔✕✏☛❳✶✖✫✭✬❅✌✎✛✧✬✿✙✔☛✍✣✧✣✢☛✍✴✵☛✍✬❅✌❚❏✭★✪✳✎✛●★✪✾✦✣✢☛ ❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ t✫❜ ♥✜❆✧❢ ✡☞✫✭✴✺✹❂★✪✳✩★✪✛✢✕✩✫✭✬♦✚✦☛✼✣✥✤✰★✪✹✦✹✦✳✏☛✍✬✿✌✎✛✢✕✩✕✩★✪✱✲☛✺✚✜✛✧✳✏☛✖✶✍✌✹✸❄☛✍✬♣✾❂★✭✕❀❣❨☛✍✌■✚✦☛✼✣✥✤✰★✪✹✦✹✦✳✏☛✍✬✿✌✎✛✢✕✩✕✩★✪✱✲☛✟✛✧✬✔✚✜✛✧✳✏☛✖✶✍✌ ✸❄☛✍✬ ✒❂★✪✙✦✌❀❣❍✹❭✫✭✙✦✳❱✣●★✟✱✲☛✖✕✏✌✎✛✢✫✭✬❫✚✦☛❚✹✦✣✧✙✔✕✎✛✢☛✍✙✦✳✏✕❍❃▲✫✭✬✔✶✍✌✎✛✢✫✭✬✔✕❱✳✏✗✖✶✖✫✭✴✺✹✻☛✍✬✔✕✏☛✖✕ ❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢❈✇ ♥✜❆✰♥ ✕❑✬❜☛✸✷✦☛✍✴✺✹✦✣✢☛❳✚✦☛❚✳✏✗✖✕✏☛❇★✪✙❫✶✖✫✭✴✺✹✻✫✭✳✎✌✩★✪✬✿✌ ❽ ✗✍✌✩★✪✌✏✕❨☛✍✌ ❺ ★✭✶✍✌✎✛✢✫✭✬✔✕ ❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢❈⑤ ♥✜❆✰t ✎❑✹✦✹✦✳✏☛✍✬✿✌✎✛✢✕✩✕✩★✪✱✲☛q✚✜✙✂✹✻✫✭✛✢✚✦✕♦✚✯✤✙✦✬✔☛➊✹✦✳✏✫✭✾❂★✪✾✦✛✧✣✧✛✧✌✏✗✮★✖❏✲☛✖✶q✚✜✛✩★✯✗✍✳✏☛✍✬✿✌✏✕♦✌✩★✪✙✜✷✂✚✯✤✰★✪✹✦✹✦✳✏☛✍✬❅✌✎✛✢✕✏✕✩★✪✱✲☛ ✶✖✫✭✬✔✕✏✌✩★✪✬✿✌✏✕ ❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❳❆❚❆❳❆❚❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢❈❜ ♥✜❆❢ ✖ ❏✲✫✭✣✧✙✦✌✎✛✢✫✭✬❡✚✦☛❚✣✥✤✐☛✖✕✎✌✎✛✧✴❁★✪✌✎✛✢✫✭✬♣★✖❏✲☛✖✶❳✙✦✬✽✌✩★✪✙✜✷❜✚✯✤✰★✪✹✦✹✦✳✏☛✍✬❅✌✎✛✢✕✏✕✩★✪✱✲☛❙✚✦✗✖✶✍✳✏✫✭✛✢✕✩✕✩★✪✬✿✌ ❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ❢❈❝ ♥✜❆⑦✇ ✡☞✫✭✬✦✬✔☛✸✷✜✛✢✫✭✬✔✕❑★❇❥✿★✪✬✿✌❑✙✦✬❜✹❭✫✭✛✢✚✦✕❱✬✔✫✭✬❜✬✿✙✦✣❧✚✔★✪✬✔✕❱✣✢☛❚✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛❙✚✦☛❲✬❂★❇❏❅✛✧✱✿★✪✌✎✛✢✫✭✬♣✚✜✛✢✕✏✶✍✳✏✓✍✌✏☛ ❆❳❆❚❆ ❢❈❝ ♥✜❆⑦⑤ ✙➈✣✧✣✧✙✔✕✎✌✎✳✩★✪✌✎✛✢✫✭✬❫✚✦☛❳✌✏✫✭✣✢✗✍✳✩★✪✬✔✶✖☛✼★✪✙✜✷✘✹❂★✪✬✦✬✔☛✖✕❱✹✻✫✭✙✦✳◗✣✢☛❲✹✦✳✏✫✭✾✦✣✢✓✍✴✵☛❙✚✦☛❚✬❂★❇❏❅✛✧✱✿★✪✌✎✛✢✫✭✬♣✚✜✛✢✕✏✶✍✳✏✓✍✌✏☛ ❆❳❆❚❆ ✇❘t t✜❆✧❢ ✕❑✬✔☛❲✌✩①✭✶✏✒✔☛✼✚✦☛❚✬❂★✖❏❴✛✧✱✿★✪✌✎✛✢✫✭✬❡✶✖✫✭✬❅✌✎✛✧✬✿✙✔☛ ❆❳❆❚❆❳❆❙❆❚❆❳❆❚❆❳❆❚❆❳❆❳❆❚❆❙❆❚❆❳❆❚❆❳❆❳❆❚❆❳❆❚❆❙❆❚❆❳❆❳❆❚❆ ⑤✭❵
