Web-based Parallel/Distributed Medical Data Mining Using Software Agents

This paper describes an experimental parallel /distributed data mining system PADMA (PArallel Data Mining Agents) that u

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✁✄✂ ☎✝✆✟✞✠✁☛✡ ☞✌✆✎✍✏✆✟✑✒✑✓✁✔✑✖✕☛✗ ✒✘ ✞✚✙✛✍✜✘✓✂✣✢✤✙✛✁✔✡ ✥ ✁✔✡✦✘✒✧★✆✩✑✪✗✫✆✔✙✛✆ ✥ ✯ ✞✰✘✒✬✮✭ ✱✤✩ ✲ ✳✴✙✶✵✷✆✸✍✹✁ ✺✻✩ ✭ ✁☛✬✼✙✏✞

✘✒✬✦✘✒✬✮✭

✽✿✾❁❀❁❀❃❂❄❀✄❅✮❆❈❇✒❉❋❊❍●✚■✒❆❑❏▼▲✎❇✒✾❃❆❄◆P❖❑■◗❆❈❘❙❂❚❇✖❯✏❱❑❲✒❳▼❨❬❩❭❀❃❪▼❫❴❇❵✽❬❆❄❛✪❜❝❆❞❂❚❉▼❀❃❊ ❡❑❢❤❣❥✐✒❦♠❧❃♥♦❧q♣r❢♦s✒♥❤t✖✉✇✈①♣r②①s✒✈③②❙④✄②①❧q⑤✒❢✇⑥✒⑦✛⑧✰⑨q❢♦❦✒✐ ⑩❷❶ ♣r❸✇♣r⑦❃♣r❢♦s❝❹✒❺❝❢❤⑦✚❻✠tr♥♦❣❼❢♦⑦▼❽❍♥♦❧q♣❾❢❤s✒♥♦t❝❺❝♥❤❿✖❢❤⑨❃♥❤❧❃❢♦⑨q➀ ➁❈➂➄➃✹➂✒➅ ❢➇➆✸➈➊➉❤➉♦➋✇❹✖④✔✉➍➌❄➉➏➎✓➐✇❹✖❺❴❢♦⑦❑❻✠tr♥♦❣❼❢♦⑦③❹✓❽✰④✎❹✖➑♦➒❤➐❭➎✓➐ ➓❝➔✇→↔➣➙↕◗➛➜↕◗➝③➞➠➟❤➝①➣①➡③➞①→➤➢➥➝①➣➦➛➏➧ ➝➥➨➥↕✒➝③➞①→↔➩★➝①➧✖➫➭➛❭➯➲↕◗➛➏➞➳➛➏➯➸➵ ❾➯ ➝③➯ ➺✴➟❭→↔➣①➫➻➞①→➤➢③➼✒➫➤➝➥➟✏➟❤➛♦➫➭➛✏➩➽→↔➧✒→↔➧✇➾✏➣➥➚❭➣①➫➭➝①➩❷➪❝➶✠➹❍➘✄➶➷➴➭➪❝➶❍➞➳➛➏➯↔➯❾➝③➯ ➹✏➛❤➫➤➛❍➘☛→➻➧✒→↔➧✓➾✰➶❑➾♦➝③➧✖➫➻➣➤➬✏➫r➔✒➛♦➫❴➼✇➣➜➝③➣❑➣➜➮q➱①➫➻✃❋➛❭➞➥➝✚➛➊➾❤➝①➧✖➫➻➣❝➱①➮❭➞✚➯r➮❭➵ ➡➥➛❭➯✖➟❤➛♦➫➭➛✏➛♦➡➥➡➥➝③➣➳➣➥→↔➧✇➾❙➛➏➧✖➟✏➛➏➧✖➛❭➯❐➚❭➣➳→➻➣✠➛❭➧✖➟➽➛✰✃❋➝➇➢✠➢➥➛❭➣①➝➥➟✰→↔➧✴➫➤➝③➞①➵ ➱①➛❤➡➳➝❝➱③➮❭➞▼→↔➧✴➫➤➝③➞➳➛❤➡➊➫➻→↔❒❭➝❋➟❤➛♦➫➭➛✰❒➊→➻➣➳➼✒➛➏➯➸→❾❮➇➛♦➫➻→➤➮➏➧Ï❰ÑÐ➳➫❝➛➏➯➸➣①➮❄↕✴➞➳➝③➣➜➝③➧✖➫➻➣ ➫r➔✒➝❍➞➳➝③➣➥➼✓➯r➫↔➣✚➮❃➱❍➛➥↕❤↕✖➯➸➚❭→➻➧✓➾✏➪❝➶✠➹❍➘✄➶Ò➱①➮➏➞✠➟♦➝➇➫➤➝➥➡➇➫↔→➻➧✓➾Ó↕◗➛❤➫➤➫➭➝①➞③➧✒➣ →↔➧✎➼✇➧✒➣①➫↔➞①➼✒➡➇➫↔➼✇➞➥➝➳➟✄➫➭➝➳➨❤➫➻➣❙➮❃➱❑↕✒➮❭➣①➫➻➩✜➮➏➞➊➫➭➝①➩Ô➞➥➝❁↕✒➮❭➞➊➫➻➣✏➛❭➧✖➟❼➯r➛♦➢③➵ ➮❭➞➥➛♦➫➭➮❭➞①➚★➫➭➝①➣①➫❑➟♦➛♦➫➭➛✠➱③➮❭➞✠Õ✏➝Ö↕◗➛❤➫↔→➭➫↔→↔➣★×✔↕◗➛❤➫↔→➭➝①➧✖➫➻➣➊❰ Ø❈Ù✏ÚÜÛ▼Ý❥Þ✔ß❥à❑Ú❞á③Ý★Ù ❶ ♥♦❧q♥✠❣❥♣rs✒♣rs✒â✚♣rs✇❸♦❢❤tr❸♦②①⑦❈②➥➆✒❧❃⑨❃♥❤✈①❧❃♣r❢❤s❝❹♦❧❃⑨q♥♦s✒⑦Öã➤❢♦⑨q❣❥♥❤❧❃♣r❢♦s❝❹➇♥♦s✒⑥ ✐✒⑨q②①⑦❃②①s✇❧q♥♦❧❃♣r❢❤s★❢❭ã✖⑥✒♥❤❧❃♥❍♣❾s➽❦✒⑦q②➥ã➤❦✒t✇ã➭❢♦⑨❃❣ ➂ ❻✠⑦❄ä❋②❑❣❥❢❭❸❤②❄❣❥❢♦⑨q② ♥♦s♠⑥✩❣❥❢♦⑨q②❙❧q❢❭ä❋♥❤⑨❃⑥✎♥☛✐✒♥❤✐✖②①⑨Öåætr②①⑦q⑦❙⑦q❢✇✈①♣r②①❧❁➀♦❹❄②①♥❤✈➳⑤✩❢➏ã✠❧❃⑤✒②③⑦❃② ✈①❢❤❣❥✐✴❢♦s✒②①s✇❧q⑦✚❢❭ã❞⑥♠♥♦❧❃♥★❣❼♣rs✒♣rs✒â✰♣❾⑦✚tr♣rç♦②③t❾➀★❧q❢➽ã➤♥♦✈③②✛❧q⑤✒②✏✈➥⑤✒♥❤t➸å tr②①s✒â❤②①⑦✏❢❭ã✚⑥✒②①♥❤tr♣❾s♠â❥ä✚♣r❧❃⑤✎tr♥♦⑨❃â❤②❙❸❤❢♦tr❦✒❣❼②✏❢❭ã❋⑥♠♥♦❧❃♥✄♥❤s✒⑥✩❧❃⑤✒② ❸♦②③⑨❃➀★⑥✒♣r⑦❃❧q⑨❃♣r❿✒❦✒❧q②①⑥✄s✒♥♦❧q❦✒⑨❃②✰❢➏ã❞❧❃⑤♠②✠⑥✒♥❤❧❃♥➽⑦❃❧❃❢❤⑨❃♥❤â♦②✰♥♦s✒⑥❼✈①❢♦❣èå ✐✒❦✒❧q♣rs✒â❙②③s✓❸✇♣r⑨❃❢❤s✒❣❥②③s✓❧q⑦ ➂ ④✄②①⑥♠♣❾✈③♥♦t✎⑥✒♥♦❧q♥♦❿✒♥❤⑦❃②①⑦❬♥♦⑨q②❷❢❭ã➭❧❃②①sÔ♣r⑥✒②①♥❤t✸✈③♥♦s✒⑥✒♣r⑥✒♥❤❧❃②①⑦✿ã➤❢❤⑨ tr♥♦⑨qâ♦②✄⑦❃✈①♥❤tr②❭❹✚✐✖❢❤⑦❃⑦❃♣r❿✒tr➀✼⑥✒♣r⑦❃❧❃⑨q♣r❿✒❦✒❧❃②③⑥✤⑥✒♥♦❧q♥✩❣❥♣rs✒♣rs✒â✄♥♦✐♠✐✒tr♣➸å ✈①♥❤❧❃♣r❢♦s✒⑦ ➂✸é s✼❧❃⑤✒♣r⑦➽✐✒♥♦✐✴②①⑨➽ä❋②❼⑥✒②①⑦❃✈③⑨❃♣r❿✖②✔♥♦s✩②➥➆✒✐✴②①⑨❃♣r❣❥②③s✓❧q♥♦t ⑦❃❢➏ã➤❧❁ä❑♥♦⑨❃②➽♥♦â❤②①s✇❧✰❿✒♥♦⑦q②①⑥✸⑦q➀✇⑦❃❧❃②③❣êã➭❢♦⑨✠✐♠♥♦⑨❃♥❤trt❾②③tìë➏⑥✒♣r⑦❃❧q⑨❃♣r❿✒❦✒❧q②①⑥ ⑥✒♥❤❧❃♥✠❣❼♣rs✒♣rs✒â ➁ ❻ ❶ ④✄❻✿í ➁ ❻❍⑨❃♥♦trtr②①t ❶ ♥❤❧❃♥✰④✄♣rs✒♣rs✒â✚❻✠â❤②①s✇❧❃⑦➳î ➂ ➁ ❻ ❶ ④✄❻✣♣r⑦✚✈➳⑤♠♥♦⑨❃♥❤✈①❧❃②③⑨❃♣rï①②①⑥✩❿✇➀❥♥❤â♦②①s✇❧❍❿✒♥♦⑦q②①⑥✸⑥♠♣❾⑦q❧❃⑨q♣❾❿♠❦✒❧❃②①⑥ ⑥✒♥❤❧❃♥Ò♥❤✈①✈①②①⑦q⑦❃♣rs✒â♠❹✏⑥✒♣r⑦❃❧❃⑨q♣r❿✒❦✒❧❃②③⑥✦⑥✒♥♦❧q♥Ò♥♦s♠♥♦tr➀✇⑦❃♣r⑦①❹✠♥❤s✒⑥❬ä❋②①❿ ❿✒♥❤⑦❃②①⑥Ô♣rs✇❧❃②①⑨q♥♦✈①❧q♣r❸♦②❬⑥✒♥♦❧q♥➷❸✇♣r⑦❃❦♠♥♦tr♣rï①♥♦❧q♣❾❢❤s ➂ ð ⑤✒♣r⑦ñ✐✒♥♦✐✴②①⑨ ♥♦tr⑦q❢★✐✒⑨❃②①⑦q②①s✇❧❃⑦✰⑨❃②③⑦❃❦✒tr❧❃⑦✰❢➏ã❚♥❤✐✒✐✒tr➀✇♣rs✒â ➁ ❻ ❶ ④✄❻✦♣rs➍❣❼②①⑥✒♣r✈①♥❤t ⑥✒♥❤❧❃♥♦❿♠♥♦⑦❃②③⑦ ➂ ✉✇②①✈③❧❃♣r❢♦sò✐✒⑨❃②③⑦❃②①s✇❧❃⑦✹♥❥â♦②③s✒②①⑨❃♥❤t❄❢❭❸♦②①⑨q❸✓♣r②①ä✦❢➏ã❋❧❃⑤♠② ➁ ❻ ❶ ④✄❻ ⑦❃➀✇⑦q❧❃②①❣ ➂➷ð ⑤✒②✎✐✒♥❤⑨❃♥♦trtr②①t❍⑨❃②①tr♥♦❧q♣r❢♦s✒♥❤t✠⑥✒♥❤❧❃♥♦❿♠♥♦⑦❃②✎♥♦✈③✈①②①⑦❃⑦q♣rs✒â ❢♦✐✴②①⑨q♥♦❧❃♣r❢❤s✒⑦★❢❭ã ➁ ❻ ❶ ④ó❻ô♥❤â♦②①s✇❧❃⑦★♥❤⑨❃②✄⑥✒②①⑦q✈①⑨❃♣r❿✴②①⑥✤♣rsÒ✉✇②①✈➜å ❧❃♣r❢❤s ➂ ✉◗②①✈①❧❃♣r❢❤s✝⑥✒②①⑦q✈①⑨❃♣r❿✴②①⑦★❧❃⑤♠②★⑥✒♥♦❧q♥➍♥❤s✒♥♦tr➀✇⑦❃♣r⑦✰✈①♥❤✐✒♥♦❿✒♣rtr♣❐å ❧❃♣r②①⑦✰❢➏ã✶❧q⑤✒②❙♥❤â♦②①s✇❧q⑦ ➂ ✉✇②①✈①❧q♣r❢♦s✝⑥♠②①⑦❃✈①⑨q♣r❿✖②①⑦➽❧❃⑤♠②❙ä❑②①❿✇å❁❿✒♥♦⑦q②①⑥

Disk

Disk

DM Agent

DM Agent Metadata

Information Extraction

Intelligent Data Mining Agent

Information Extraction

Facilitator Query Result

SQL Query Application User Request

Result

WWW User Interface

➌❈♣râ♦❦✒⑨q②✜➈➏õ ð ⑤✒② ➁ ❻ ❶ ④✄❻✦♥❤⑨❃✈➥⑤✒♣r❧❃②①✈③❧❃❦✒⑨q② ➂ ❦♠⑦❃②①⑨✏♣rs✇❧❃②③⑨❁ã➤♥❤✈①②★♥♦s✒⑥✎❸✇♣r⑦❃❦✒♥❤t❾♣rï①♥❤❧❃♣r❢♦s✄❣❼❢✓⑥♠❦✒tr②✏❢❭ã ➁ ❻ ❶ ④✄❻ ➂ ✉◗②①✈①❧❃♣r❢❤sö♥❤s✒⑥✌✐✒⑨q②①⑦❃②①s✇❧q⑦✏❧❃②①⑦q❧✏⑨❃②③⑦❃❦✒tr❧❃⑦ ➂ ➌❈♣❾s♠♥♦trtr➀♦❹✖✉✇②③✈①❧❃♣r❢♦s ✈③❢♦s✒✈①tr❦✒⑥♠②①⑦✠❧q⑤✒♣r⑦✚✐✒♥♦✐✴②①⑨ ➂ ÷ÔÛ▼à❑ø❥á➥Ú❄ù✠à❑ÚÑß✜Û▼ùûúýüÿþ✩✁ ÷ ✄✂ ÷ ð ⑤✒② ➁ ❻ ❶ ④✄❻P♣r⑦✄♥♦s❬♥♦â❤②①s✇❧➍❿♠♥♦⑦❃②③⑥✮♥❤⑨❃✈➥⑤✒♣r❧❃②①✈③❧❃❦✒⑨q②✩ã➤❢❤⑨ ✐♠♥♦⑨❃♥❤trt❾②③tìë➏⑥✒♣r⑦❃❧q⑨❃♣r❿✒❦✒❧q②①⑥ñ⑥✒♥♦❧q♥Ò❣❥♣rs✒♣rs✒â ➂✦ð ⑤✒②☛â♦❢❤♥♦t❍❢❭ã❙❧q⑤✒♣r⑦ ②✆☎Ï❢❤⑨❃❧☛♣r⑦✄❧❃❢ñ⑥✒②①❸❤②①tr❢♦✐❬✞ ♥ ✝✖②➥➆✒♣r❿✒tr②✸⑦q➀✓⑦q❧❃②①❣û❧q⑤✒♥♦❧✄ä✚♣rtrt✛②➜➆✓å ✐♠t❾❢❤♣r❧✏⑥✒♥♦❧q♥☛❣❥♣rs✒♣rs✒â✄♥❤â♦②①s✇❧❃⑦➽♣rs✩✐✒♥♦⑨q♥♦trtr②①t➭❹❄ã➤❢♦⑨✹❧❃⑤✒②✄✐✒♥❤⑨❃❧❃♣r✈➥å ❦♠t❾♥❤⑨✰♥♦✐✒✐✒tr♣r✈①♥❤❧❃♣r❢♦s☛♣rs✎⑤✒♥♦s♠⑥ ➂➍é ❧q⑦✏♣rs✒♣r❧❃♣r♥♦t❈♣r❣❥✐✒tr②①❣❼②①s✇❧❃♥♦❧q♣r❢♦s ❦♠⑦❃②①⑥ñ♥♦â❤②①s✇❧❃⑦★⑦q✐✖②①✈③♣❾♥❤tr♣❾ï③♣❾s♠â✸♣rsñ❦✒s✒⑦q❧❃⑨❃❦♠✈①❧❃❦✒⑨q②①⑥✤❧q②➥➆✒❧❥⑥✒❢✇✈①❦✇å ❣❼②①s✇❧❋✈③t❾♥❤⑦❃⑦q✠♣ ✟✴✈①♥♦❧q♣❾❢❤s ➂✠➁ ❻ ❶ ④✄❻✦♥❤â♦②①s✇❧❃⑦Óã➤❢♦⑨✚⑥♠②①♥♦tr♣rs✒â➽ä✚♣❾❧q⑤

s✇❦✒❣❥②③⑨❃♣r✈✰⑥✒♥♦❧q♥★♥♦⑨❃②✹✈①❦✒⑨❃⑨q②①s✇❧❃tr➀☛❦✒s♠⑥✒②①⑨✠⑥♠②①❸♦②①tr❢❤✐✒❣❥②①s✇❧ ➂ ➌❈♣râ❭å ❦✒⑨q②✜➈❍⑦❃⑤♠❢❭ä✚⑦❋❧q⑤✒②✰❢❭❸♦②①⑨q♥♦trt✖♥❤⑨❃✈➥⑤✒♣r❧❃②③✈①❧❃❦✒⑨q②✏❢❭ã ➁ ❻ ❶ ④✄❻ ➂✒ð ⑤✒② ❣❥♥❤♣rs✛⑦q❧❃⑨q❦✒✈①❧❃❦♠⑨❃♥♦t❝✈③❢♦❣❥✐✴❢♦s♠②①s✇❧❃⑦❄❢❭ã ➁ ❻ ❶ ④✄❻ñ♥♦⑨q②❭❹✴í➳➈➊î❚⑥✒♥♦❧q♥ ❣❥♣rs✒♣rs✒â✼♥♦â❤②①s✇❧❃⑦①❹✄í îóã➤♥♦✈①♣rtr♣r❧❃♥❤❧❃❢♦⑨óã➤❢♦⑨☛✈③❢✓❢❤⑨❃⑥✒♣rs✒♥❤❧❃♣rs✒â❬❧❃⑤✒② ♥♦â❤②①s✇❧❃⑦③❹❋♥♦s♠⑥ñíæ➋♦î✹❦✒⑦q②①⑨★♣rs✓❧q②①⑨❁ã➭♥♦✈①② ✂ ➂ ✁ ♥♦✈➥⑤Ò❢➏ã✠❧❃⑤✒②③⑦❃②✄♣r❧❃②①❣❼⑦ ♥♦⑨q②✰⑥✒②①⑦❃✈③⑨❃♣r❿✖②③⑥✸♣rs❥❧q⑤✒②✰ã➤❢❤trt❾❢❭ä✚♣rs✒â ➂ ❶ ♥♦❧❃♥✎❣❥♣rs✒♣rs✒â✔♥♦â♦②③s✓❧q⑦★♥♦⑨q②☛⑨❃②①⑦q✐✖❢❤s✒⑦❃♣r❿✒tr②✄ã➭❢♦⑨★♥♦✈③✈①②①⑦❃⑦q♣rs✒â ⑥✒♥❤❧❃♥✩♥♦s♠⑥Ò②➥➆✒❧❃⑨q♥♦✈①❧q♣rs✒âÒ⑤✒♣râ❤⑤✒②①⑨★tr②①❸♦②③t✚❦✒⑦❃②➥ã➭❦✒t✠♣rs✇ã➤❢❤⑨❃❣❼♥♦❧❃♣r❢❤s ã➤⑨q❢♦❣✌❧q⑤✒②☛⑥✒♥❤❧❃♥ ➂ ❻Ô⑥✒♥❤❧❃♥✩❣❥♣rs✒♣rs✒â✄♥❤â♦②①s✇❧★⑦❃✐✴②①✈①♣r♥❤t❾♣rï①②③⑦❥♣rs ✐✴②①⑨❁ã➤❢❤⑨❃❣❼♣❾s♠â➍⑦q❢♦❣❼②★♥♦✈①❧q♣❾❸✇♣r❧❁➀☛♣rs✩❧❃⑤♠②❥⑥✒❢❤❣❥♥♦♣rs✎❢❭ã✚♣rs✓❧q②①⑨❃②③⑦❃❧ ➂ é s✤❧q⑤✒②✸✈③❦✒⑨❃⑨q②①s✇❧☛♣r❣❥✐✒tr②①❣★②①s✇❧q♥♦❧❃♣r❢❤s❝❹ ➁ ❻ ❶ ④✄❻ ❦✒⑦❃②①⑦✔⑥✒♥♦❧q♥ ❣❥♣rs✒♣rs✒â❼♥♦â❤②①s✇❧❃⑦★í ❶ ④ó❻✠⑦➳î✹❧❃⑤♠♥♦❧✏⑦q✐✖②①✈③♣❾♥❤tr♣❾ï③②❥❢♦s✎❿✴❢♦❧❃⑤✼❧❃②➥➆✒❧ ♥♦s♠⑥➍s✇❦✒❣❼②①⑨❃♣r✈❍⑥✒♥♦❧q♥❙♥❤s✒♥♦tr➀✇⑦❃♣r⑦ ➂ ❻✠â❤②①s✇❧❃⑦❄ä❋❢❤⑨❃ç✰♣rs✏✐✒♥❤⑨❃♥♦trtr②①t❤♥♦s✒⑥➽⑦❃⑤✒♥❤⑨❃②❑❧❃⑤✒②③♣❾⑨❄♣rs✇ã➤❢❤⑨❃❣❼♥♦❧❃♣r❢❤s ❧❃⑤♠⑨❃❢♦❦♠â♦⑤☛❧q⑤✒② ➱①➛❤➡①→↔➯❐→➤➫➭➛♦➫➭➮❭➞①➂❑ð ⑤✒②✰ã➤♥❤✈①♣rt❾♣r❧q♥♦❧❃❢❤⑨❋❣❼❢✇⑥✒❦✒tr②✠✈①❢✇❢❤⑨❁å ⑥✒♣rs✒♥❤❧❃②①⑦✏❧q⑤✒②★♥♦â❤②①s✇❧❃⑦③❹Ü✐✒⑨❃②③⑦❃②①s✇❧❃⑦★♣rs✇ã➭❢♦⑨❃❣❼♥♦❧q♣❾❢❤s❥❧q❢➍❧q⑤✒②★❦✒⑦q②①⑨ ♣rs✇❧❃②①⑨Öã➤♥♦✈①②➏❹Ü♥♦s✒⑥✄✐✒⑨q❢❭❸✇♣❾⑥♠②①⑦❍ã➤②①②①⑥✒❿♠♥♦✈➥ç✇⑦✛❧q❢❥❧q⑤✒②❙♥❤â♦②①s✇❧q⑦✚ã➤⑨q❢♦❣ ❧❃⑤♠②✛❦♠⑦❃②①⑨ ➂ ➁ ❻ ❶ ④✄❻✣⑤✒♥♦⑦✰♥❥â❤⑨❃♥❤✐✒⑤✒♣r✈①♥♦t❄ä❑②①❿✇å❁❿✒♥♦⑦q②①⑥✩❦✒⑦q②①⑨✏♣rs✇❧❃②①⑨Öã➤♥♦✈①② ã➤❢❤⑨▼✐✒⑨❃②③⑦❃②①s✇❧❃♣rs✒â➽♣rs✇ã➤❢❤⑨❃❣❥♥❤❧❃♣r❢♦s✰②➥➆✒❧q⑨❃♥♦✈③❧❃②①⑥✄❿✇➀❙❧q⑤✒②✠♥❤â♦②①s✇❧q⑦▼❧❃❢ ❧❃⑤♠②❋❦✒⑦q②①⑨ ➂▼ð ⑤♠②▼ã➤♥❤✈①♣rtr♣❾❧q♥♦❧q❢♦⑨✴♥♦✈①✈①②③✐✒❧❃☎⑦ ✄✇❦✒②③⑨❃♣r②①⑦❄ã➤⑨q❢♦❣❬❧❃⑤✒②❑❦✒⑦q②①⑨ ♣rs✇❧❃②①⑨Öã➤♥♦✈①②✔♣❾s✿⑦❃❧❃♥❤s✒⑥✒♥❤⑨❃⑥✮✝✉ ✆✰❺ íæ✉✇❧q⑨❃❦✒✈①❧q❦✒⑨❃②③✞ ⑥ ✆✠❦♠②①⑨❃➀✮❺❴♥♦s✇å â♦❦♠♥♦â♦②➇î★ã➭❢♦⑨❃❣❼♥♦✠❧ ✟✛❧q⑤✒✡ ② ✄✇❦✒②①⑨❃♣r②①⑦✔♥♦⑨❃②✩❿♠⑨❃❢♦♥❤⑥✒✈①♥❤⑦❃❧❃②③⑥✦❧❃❢ñ❧❃⑤✒② ♥♦â❤②①s✇❧❃⑦ ➂ ❻❍â♦②①s✇❧❃⑦★✈③❢♦❣❥②③⑦❙❦✒✐ñä✚♣r❧❃⑤✼❧❃⑤✒②✄②➥➆✒❧q⑨❃♥♦✈③❧❃②①⑥✤♣rs✇ã➭❢♦⑨❁å ❣❥♥❤❧❃♣r❢♦s★⑨q②①tr②①❸❭♥♦s✇❧✚❧q❢★❧❃⑤✒☛② ✄✇❦✒②③⑨❃➀ ➂ ➌✒♥❤✈①♣rt❾♣r❧q♥♦❧❃❢❤⑨❋✈③❢♦trtr②①✈①❧❃⑦❍❧❃⑤✒② ♣rs✇ã➤❢❤⑨❃❣❥♥❤❧❃♣r❢♦s➽♥♦s♠⑥➍✐♠⑨❃②①⑦q②①s✇❧❃⑦✰♣r❧❋❧q❢★❧❃⑤✒②✰❦✒⑦q②①⑨ ➂ ð ⑤✒②✄♥♦â❤②①s✇❧❃⑦★♥♦s♠⑥Òã➭♥♦✈①♣rtr♣r❧❃♥♦❧q❢♦⑨✏❢➏ã ➁ ❻ ❶ ④ó❻Ô♥♦⑨❃②✄⑥✒②③❸♦②①t❐å ❢♦✐✴②①⑥✼❦✒⑦❃♣rs✒â☛♥ ➁ ♥❤⑨❃♥❤t❾tr②①t ➁ ❢♦⑨q❧❃♥♦❿♠t❾②❥➌❈♣rtr②❥✉✇➀✇⑦❃❧q②①❣ í ➁Ñ➁ ➌❄✉✒î ✌í ☞❍❦✒❿✴②①⑨①❹✰➈✎✍✏✍❤➐♦î ➂➍ð ⑤✒② ➁ ❻ ❶ ④✄❻ ♣r⑦✏⑥✒②①⑦q♣râ♦s✒②①⑥✼♣rs✩❢♦✏❿ ✑➥②①✈③❧❁å ❢♦⑨q♣r②①s✇❧❃②①⑥✄⑦❃❧❁➀✇tr②✰❧❃❢★✐✒⑨q❢❭❸✇♣❾⑥♠②✛♥❤s❥②➥➆✒❧q②①s✒⑦❃♣r❿✒tr②✏♣rs✇ã➭⑨❃♥♦⑦q❧❃⑨q❦✒✈①❧❃❦♠⑨❃② ♥♦s♠⑥❙✈①❢✇⑥✒②③⑥★♣❾s★✓❡ ✒✔✒ ➂ ④ ➁❄é í❁④✄②①⑦q⑦❃♥♦â❤② ➁ ♥♦⑦q⑦❃♣rs✒â é s✇❧❃②①⑨Öã➤♥♦✈③②➊î ♣r⑦▼❦✒⑦q②①⑥❥♥❤⑦❋❧q⑤✒②✠❣❼②①⑦❃⑦q♥♦â♦②✚✐♠♥♦⑦❃⑦q♣rs✒â✏⑦❃❦♠❿✒⑦❃❧q⑨❃♥♦❧q②❍ã➤❢♦⑨▼♣rs✇❧❃②③⑨❃✐✒⑨q❢❭å ✈①②①⑦q⑦❄✈①❢♦❣❼❣★❦✒s✒♣r✈①♥♦❧q♣r❢♦s ✕➂ ✁ ♥❤✈➥⑤✏⑥✒♥♦❧q♥✚❣❥♣rs✒♣rs✒â▼♥❤â♦②①s✇❧❝❦✒⑦q②①⑦❄❧❃⑤✒② ❦✒s✒⑥♠②①⑨❃tr➀✇♣rs✒â❙❦♠s✒♣❐➆ ✟✖tr②❍⑦❃➀✇⑦❃❧q②①❣ô❢❤s❥❧q⑤✒②✠❣❼♥♦✈➥⑤✒♣rs✒②①⑦▼❧q⑤✒②①➀❼♥♦⑨❃② ②➥➆✒②①✈①❦♠❧❃♣rs✒â✰❢♦s✰ã➭❢♦⑨Ü✈③♥♦⑨❃⑨q➀✇♣❾s♠â✠❢♦❦♠❧Ü❧❃⑤♠②①♣r⑨Ütr❢✇✈①♥♦t❤♣❾s♠✐✒❦✒❧➳ë➏❢♦❦✒❧q✐✒❦✒❧ ❢♦✐✴②①⑨q♥♦❧❃♣r❢❤s✒⑦ ➂Ò➁ ❻ ❶ ④✄❻ý✈①❦✒⑨q⑨❃②①s✇❧qt❾➀✩⑨q❦✒s✒⑦★❢❤s✩♥✸✈①tr❦✒⑦q❧❃②①⑨★❢➏ã ✉✇❦✒s➽✉✇✐✒♥♦⑨q✈▼ä❑❢♦⑨❃ç✇⑦q❧❃♥♦❧q♣r❢♦s✒⑦❝♥❤s✒⑥✰❢♦s é❁➅ ④➲✉ ➁ å ✇➂ ☞✠❢❭ä❑②①❸♦②①⑨❈♣r❧ ♣r⑦❄②①♥♦⑦q♣❾tr➀✏✐✴❢♦⑨q❧❃♥❤❿✒tr②✚❧❃❢✰♥♦s✇➀✏⑥✒♣r⑦q❧❃⑨❃♣r❿✒❦♠❧❃②①⑥★❣❼②①❣❥❢❤⑨❃➀✚❣❥♥❤✈➥⑤✒♣rs✒② ✐✒⑨q❢❭❸✓♣r⑥✒②③⑥✏❧❃⑤✒♥❤❧❞④ ➁❚é ♣r⑦Ü❢❤✐✖②①⑨q♥♦❧q♣❾❢❤s✒♥♦t❤❢♦s✏❧q⑤✒♣r⑦Ü❣❼♥♦✈➥⑤✒♣rs✒②❄♥♦s✒⑥ ♥★❦✒s✒♣❐➆ ✟✖tr②✰⑦❃➀✇⑦q❧❃②①❣Ô♣r⑦✚❦✒⑦q②①⑥✄ã➤❢❤⑨✚⑦❃②①⑨q♣❾♥❤tÜ♣rs✒✐✒❦♠❧➳ë❭❢❤❦✒❧❃✐♠❦✒❧✚❢♦✐✇å ②①⑨q♥♦❧❃♣r❢❤s✒⑦❙❢❤s✩♣r❧❃⑦✏s✒❢✇⑥✒②③⑦ ➂✸ð ⑤♠②★❦✒⑦❃②①⑨★♣rs✇❧❃②③⑨❁ã➤♥❤✈①②❥♣r⑦✏ä✚⑨q♣❾❧q❧❃②①s ã➤❢❤⑨☎♦✖ ♥❭❸❭♥➽⑦❃②①s♠⑦❃♣r❧❃♣r❸♦②❍❿✒⑨❃❢❭ä✚⑦q②①⑨ ➂✚➁ ❻ ❶ ④✄❻✤✈③♥♦s❥❿✴②❍ã➤❦✒s✒✈③❧❃♣r❢♦s✇å ♥♦trtr➀✏⑥✒②③✈①❢♦❣❼✐✖❢❤⑦❃②①⑥★♣rs✇❧❃❢✏❧q⑤✒⑨❃②③②✠⑥✒♣ ☎❝②①⑨❃②①s✇❧❑✈①❢♦❣❼✐✖❢❤s✒②①s✇❧❃⑦③õ❋í➥➈➊î ✐✒♥❤⑨❃♥♦trtr②①✝t ✄✇❦✒②③⑨❃➀➽✐✒⑨❃❢✇✈①②①⑦q⑦❃♣rs✒â➽♥♦s✒⑥➽⑥✒♥❤❧❃♥✏♥❤✈①✈①②①⑦q⑦❃♣rs✒â✒❹❝í î❈✐✒♥❤⑨❁å ♥♦trtr②①t✚⑥✒♥❤❧❃♥✎♥♦s✒♥❤tr➀✓⑦q♣r⑦①❹❋♥❤s✒⑥❬íæ➋❤î✏♣rs✇❧❃②①⑨q♥♦✈①❧q♣r❸♦②☛✈①tr❦✒⑦q❧❃②①⑨➥ë❭⑥✒♥❤❧❃♥ ❸✇♣r⑦❃❦✒♥❤t❾♣rï①♥❤❧❃♣r❢♦s ✗➂ ✁ ♥❤✈➳⑤✔❢❭ã▼❧❃⑤✒②③⑦❃②★✈①❢❤❣❥✐✴❢♦s✒②①s✇❧q⑦✚❢❭ã ➁ ❻ ❶ ④✄❻ ♣r⑦✚⑥✒♣r⑦❃✈①❦♠⑦❃⑦❃②③⑥☛♣rs➍❧q⑤✒②❍ã➤❢♦trtr❢❭ä✚♣rs✒â✏⑦q②①✈①❧❃♣r❢❤s✒⑦ ➂

þ✙✘✰☎Û ✘☛✚✠✚①ù✛✚ ✜✘✰✢Ú ✘ò÷êà✚à✚ù✤✣✥✣❞á Ù✧✦ ❻❍✈①✈①②①⑦q⑦❃♣rs✒â✰⑥✒♥❤❧❃♥✠♣r⑦❈♥♦s✏♣r❣❥✐✴❢♦⑨q❧❃♥❤s✓❧✴♥♦⑦q✐✖②③✈①❧▼❢❭ã✒⑥✒♥❤❧❃♥❍❣❥♣rs✒♣rs✒â ➂ é s✔t❾♥❤⑨❃â❤②✏⑦❃✈①♥❤tr②❙⑥✒♥❤❧❃♥✄❣❥♣rs✒♣rs✒â➽⑥✒♥❤❧❃♥❥♥❤✈①✈①②①⑦q⑦✏♣rs✒✐✒❦✒❧➥ë❭❢❤❦✒❧❃✐✒❦♠❧ ✐✴②①⑨Öã➤❢♦⑨q❣❥♥♦s♠✈①②❙❿✴②①✈①❢❤❣❥②①⑦➽♥✄✈①⑨❃♣r❧q♣❾✈③♥♦t❄ã➤♥❤✈①❧❃❢❤⑨✏♣rs✩❧❃⑤✒②★❢❭❸❤②①⑨❃♥❤trt ✐✴②①⑨Öã➤❢♦⑨q❣❥♥♦s♠✈①②❥❢➏ã✛❧❃⑤♠②➍⑥♠♥♦❧❃♥✎❣❥♣rs✒♣rs✒â✄⑦q➀✓⑦q❧❃②①❣ ➂ ❻✠✈③✈①②①⑦❃⑦q♣rs✒â ⑥♠♥♦❧❃♥ñ♣rs✦✐✒♥❤⑨❃♥♦trtr②①t✏❣❼♥❭➀ñ⑤✒②①tr✐✦⑥✒②①✈①⑨q②①♥♦⑦q♣rs✒â✮❧q⑤✒②Ò⑨q②①⑦❃✐✴❢♦s♠⑦❃② ❧q♣r❣❥②✰í ❶ ②①ä✚♣r❧q❧✛★❷⑧✰⑨q♥❭➀♦❹Ü➈✩✍✏✍ î ➂ é s ➁ ❻ ❶ ④✄❻✹❹❙②①♥❤✈➥⑤ ⑥✒♥♦❧q♥✦❣❥♣rs✒♣rs✒â✤♥❤â♦②①s✇❧✩❣❼♥♦♣rs✇❧❃♥♦♣rs✒⑦ ♣r❧q⑦➍❢❭ä✚s❬⑥✒♣r⑦❃ç✿⑦❃❦✒❿✒⑦q➀✇⑦❃❧❃②③❣ ❧q❢ñ✈①♥♦⑨q⑨❃➀❬❢♦❦✒❧✄♣rs✒✐✒❦✒❧➥ë❭❢❤❦✒❧❃✐✒❦♠❧ ❢❤✐✖②③⑨❃♥♦❧q♣r❢♦s✒⑦✄tr❢✇✈①♥♦trtr➀ ➂✣ð ⑤✒♣r⑦❥✐✒⑨q❢❭❸✓♣r⑥✒②③⑦➍✐♠♥♦⑨❃♥❤trt❾②③t✛⑥♠♥♦❧❃♥✼♥♦✈➥å ✈③②①⑦❃⑦✔ã➤❢♦⑨✄❧q⑤✒②✩ä✚⑤✒❢♦tr②✎⑦❃➀✇⑦❃❧q②①❣ ➂ ❡❑❦✒⑨❃⑨q②①s✇❧❃tr➀✮⑦q❧❃⑨q♣❾✐✴②①⑥✦♥❤s✒⑥ ❿♠t❾❢✇✈➥ç♦②③⑥❥⑥✒♥❤❧❃♥★⑥✒♣r⑦❃❧q⑨❃♣r❿✒❦✒❧q♣r❢♦s❥♥❤trâ♦❢♦⑨q♣r❧❃⑤✒❣❼⑦❞♥❤⑨❃②✰❦✒⑦q②①⑥☛❧❃❢➽⑥✒♣r⑦❁å ❧q⑨❃♣r❿✒❦✒❧q②①⑥❥⑥♠❢✓✈③❦✒❣❥②①s✇❧q⑦❋♥❤✈①⑨❃❢❤⑦❃⑦✚⑥✒♥❤❧❃♥➽❣❥♣rs✒♣rs✒â✰♥♦â❤②①s✇❧❃⑦ ✪➂ ✁ ♥♦✈➥⑤ ♥❤â♦②①s✇❧★♥❤s✒⑥ñ❧❃⑤✒②✄ã➭♥♦✈①♣rtr♣r❧❃♥♦❧q❢♦⑨➽♥♦tr⑦❃❢✎❣❥♥❤♣rs✓❧q♥♦♣rs✩♥ ✟✖tr②✄✈①♥♦✈➥⑤✒② ã➭❢♦⑨✠✈③♥♦✈➥⑤✒♣rs✒â❥❧q⑤✒②➽⑥✒❢✇✈①❦✒❣❥②③s✓❧q⑦✠❧q⑤✒♥♦❧❍❧❃⑤✒②①➀✔♥♦✈①✈①②③⑦❃⑦ ➂ ❻✠✐✒✐♠⑨❃❢❭å ✐♠⑨❃♣r♥♦❧q②✏❿✒❦ ☎❝②①⑨✰❣❥♥❤s✒♥♦â❤②①❣❥②①s✇❧❑♥♦trâ♦❢❤⑨❃♣r❧❃⑤♠❣❥⑦①❹✒② ➂ â ➂ ➌ é ➌ ➃ ⑨q②➥å ✐♠t❾♥❤✈①②①❣❼②①s✇❧❝✐✖❢❤t❾♣r✈①➀❤❹❭ä✚⑨❃♣r❧❃②➜åæ❿✒♥❤✈➥ç✏♥♦s✒⑥✹✐✒⑨❃②➥ã➭②①❧❃✈➥⑤✒♣rs✒â♠❹♦♥♦⑨q②❋②①❣èå ✐♠t❾❢❭➀❤②①⑥✎❧❃❢✄❣❥♥➏➆◗♣r❣★♣rï①②✰❧❃⑤♠②★❿✖②①s♠② ✟✖❧➽❢♦❿✒❧q♥♦♣rs✒②①⑥✔ã➤⑨❃❢❤❣ê❧q⑤✒②①⑦❃② ✈③♥♦✈➥⑤✒②①⑦ ➂ ❶ ♥♦❧❃♥✹❣❥♣rs✒♣rs✒â✚♥♦â❤②①s✇❧❃⑦▼♣rs ➁ ❻ ❶ ④ó❻✤♥♦tr⑦❃❢✰✐✒⑨q❢❭❸✇♣❾⑥♠②✚✐✒♥♦⑨q♥♦t❐å tr②①t✴⑨❃②③t❾♥❤❧❃♣r❢♦s♠♥♦t✴⑥✒♥♦❧q♥♦❿✒♥❤⑦❃②✚ã➭❦✒s✒✈①❧q♣❾❢❤s✒♥♦tr♣r❧❁➀ ➂Üð ⑤✒♣r⑦❋♣r⑦❑♥♦✈➥⑤✒♣r②①❸❤②①⑥ ❿✇➀❬⑦❃❧q❢♦⑨❃♣rs✒â❬②①♥❤✈➳⑤✪✈①❢❤⑨❃✐✒❦♠⑦①❹★ä✚⑤✒♣r✈➥⑤❷✈①❢❤s✒⑦❃♣r⑦❃❧q⑦✩❢❭ã❥♥❬s✇❦✒❣★å ❿✴②①⑨★❢➏ã✠❧❃②➥➆✒❧★⑥✒❢✇✈①❦✒❣❼②①s✇❧❃⑦③❹▼♥♦⑦➽♥✸⑨q②①tr♥♦❧❃♣r❢❤s✒♥♦t❑⑥✒♥♦❧q♥♦❿✒♥❤⑦❃②❼❧❃♥❭å ❿♠t❾②❼ä✚♣r❧❃⑤✩⑥✒♣ ☎❝②①⑨❃②①s✇❧★♥❤❧❃❧❃⑨q♣r❿✒❦✒❧❃②③⑦ ➂ ❡❑❦✒⑨q⑨❃②①s✇❧qt❾➀✼♥☛⑦❃❦♠❿✒⑦❃②①❧❼❢❭ã ✫✉ ✆✛❺ íæ✉◗❧❃⑨❃❦♠✈①❧❃❦✒⑨q②①✙ ⑥ ✆❍❦✒②①⑨q➀ÿ❺❴♥♦s✒â❤❦✒♥♦â❤②➊î✏♣r⑦➽⑦❃❦✒✐♠✐✖❢❤⑨❃❧❃②③⑥ÿ❿✇➀ ➁ ❻ ❶ ④✄❻ ➂❝ð ⑤✒②①⑦q②★♣rs✒✈①tr❦✒⑥✒②✏❧q♥♦❿✒tr②➽✈①⑨❃②③♥♦❧❃♣r❢❤s✸♥❤s✒⑥☛⑥✒②①tr②①❧q♣r❢♦s❝❹ ⑤♠♥♦⑦❃⑤✔♣❾s♠⑥✒②➥➆☛✈①⑨❃②③♥♦❧❃♣r❢❤s✸♥❤s✒⑥☛⑥✒②①tr②①❧q♣r❢♦s❝❹❝✐✒♥❤⑨❃♥♦trtr②①t❈⑦❃②①tr②①✈①❧✰♥❤s✒⑥ ✑➜❢♦♣rs✏❢♦✐✴②①⑨q♥♦❧❃♣r❢❤s✒⑦ ➂▼➁ ❻ ❶ ④✄❻ñ♥♦✈➥⑤✒♣r②①❸❤②①⑦▼✐✒♥❤⑨❃♥❤t❾tr②①✬t ✇✄ ❦✒②①⑨q➀❙✐♠⑨❃❢❭å ✈③②①⑦❃⑦q♣❾s♠â☛❧❃⑤✒⑨q❢♦❦✒â❤⑤✸♣rs✇❧❃⑨q♥❭å❁❢♦✐✴②①⑨❃♥❤❧❃❢❤⑨✛✐♠♥♦⑨❃♥❤trt❾②③t❾♣r⑦q❣ ➂✛❶ ②①❧q♥♦♣rtr②①⑥ ⑥♠②①⑦❃✈①⑨q♣r✐✒❧❃♣r❢♦s★♥❤❿✖❢❤❦✒❧❄❧❃⑤✒②❑⑦❃✐✴②①✈①♣ ✟✖✈❍♣r❣❥✐✒tr②①❣❼②①s✇❧❃♥♦❧q♣r❢♦s✠❢➏ã✖②①♥❤✈➳⑤ ❢➏ã❥❧❃⑤✒②③⑦❃②✤❢❤✐✖②①⑨q♥♦❧q♣❾❢❤s✒⑦✎✈①♥♦s✪❿✴②Òã➭❢♦❦✒s✒⑥✣②①tr⑦❃②①ä✚⑤♠②①⑨❃②✦✮í ✭✰♥♦⑨❁å â❤❦✒✐✒❧q♥✒❹✝☞✠♥❤❣❥ï①♥❤❢♦â❤t❾❦❴✯❹ ❷ ★ ✉✇❧q♥ ☎❝❢♦⑨q⑥❝❹❞➈✩✍✏✍♦➉❤î ➂ þ✰✘✰☎Û ✘☛✚✱✚①ù✤✚ ✲✘ Ú✢✘ò÷PÙ✳✘☛✚✵✴✳✣❄á✱✣ é s ➁ ❻ ❶ ④✄❻✹❹❞⑥✒♥❤❧❃♥☛♥❤s✒♥♦tr➀✇⑦❃♣r⑦➽♣r⑦✏✐✒⑨❃♣r❣❼♥♦⑨❃♣rtr➀☛⑥✒❢❤s✒②❥❿✇➀✎❧❃⑤✒② ❤♥ â♦②①s✇❧q⑦✠♣rs☛♥❥⑥♠♣❾⑦q❧❃⑨q♣❾❿♠❦✒❧❃②①⑥✔ã➤♥❤⑦❃⑤✒♣r❢♦s ➂✶✁ ❸♦②③⑨❃➀✄♥♦â❤②①s✇❧✠⑨❃②③❧❃❦✒⑨qs✒⑦ ♥✸✷➜✈①❢♦s♠✈①②①✐✒❧❍â♦⑨❃♥❤✐✒✝⑤ ✹✄í➭ä✚⑤✒♣r✈➳⑤✄❣❼♥❭➀❙❿✴②✏②①♣r❧❃⑤♠②①⑨✠♥★⑤✒♣r②①⑨q♥♦⑨q✈➳⑤♠♣➸å ✈③♥♦t❄â♦⑨q♥♦✐✒⑤✎❢❭ã❋✈③t❾❦♠⑦❃❧❃②③⑨❃⑦①❹▼❢❤⑨✰⑥✒②①✈①♣r⑦❃♣r❢❤s✸❧q⑨❃②①②①⑦③❹❞❢❤⑨✰⑦❃❧❃♥❤❧❃♣r⑦❃❧q♣r✈①♥♦t ♥❤s✒♥♦tr➀✇⑦❃♣r⑦▼⑨q②①⑦❃❦♠t❾❧q⑦✚⑦❃❦✒✈➥⑤✄♥♦⑦❑✈①❢❤⑨❃⑨❃②③t❾♥❤❧❃♣r❢♦s❼❣❥♥❤❧❃⑨❃♣❐➆✖î❈❧❃❢➽❧❃⑤✒②❍ã➤♥➏å ✈③♣❾tr♣r❧❃♥❤❧❃❢❤⑨ ➂❄ð ⑤✒②❍ã➤♥♦✈①♣rtr♣r❧❃♥❤❧❃❢♦⑨❑♣r⑦✚⑨❃②①⑦q✐✖❢❤s✒⑦❃♣r❿✒tr②✰ã➭❢♦⑨❑✈①❢♦❣★❿✒♣rs✒♣rs✒â ❧q⑤✒②➽✈①❢♦s✒✈③②①✐✒❧✰â♦⑨q♥♦✐✒⑤✒⑦✰♥❤s✒⑥☛✐✒⑨q②①⑦❃②①s✇❧✏❧q⑤✒②➽⑨❃②①⑦q❦✒tr❧✛❧q❢✄❧❃⑤✒②➽♣rs✇å ❧q②①⑨❁ã➭♥♦✈①②➽♣rs☛♥❥❦✒⑦q②①⑨✰❧❃⑨q♥♦s✒⑦q✐✒♥♦⑨q②①s✇❧✏❣❥♥❤s✒s✒②①⑨ ➂✠ð ⑤✒②✹ã➤❢♦trtr❢❭ä✚♣rs✒â ✐♠♥♦⑨❃❧❑❢❭ã❄❧❃⑤✒♣r⑦❑⑦❃②①✈③❧❃♣r❢♦s✄❿✒⑨q♣❾②✆✖✝ ➀❥⑥✒②③⑦❃✈①⑨q♣❾❿✴②①⑦❍❧❃⑤✒②✰❧❃②➜➆◗❧✚♥❤s✒⑥❥s✇❦✇å ❣❼②①⑨❃♣r✈ ❶ ④ó❻✠⑦✚♣rs ➁ ❻ ❶ ④ó❻ ➂

➽❫✂✁✚☎ ■ ✄✝✆✟✞✡✠ ð ⑤✒②★❢❤❿✏✑➥②①✈①❧q♣❾❸❤②❥❢➏ã✶❧q②➥➆✒❧ ❶ ④✄❻❍⑦✏❢❭ã ➁ ❻ ❶ ④✄❻ ♣r⑦✏❧q❢✄♣❾⑥♠②①s✇å ❧❃♣❐ã➤➀✿⑦❃❧❃♥❤❧❃♣r⑦❃❧q♣r✈①♥♦trtr➀✤⑦❃♣râ❤s✒♣ ✖✈①♥♦s✇❧✄⑥✒❢✇✈①❦✒❣❼②①s✇❧☛✈①tr❦✒⑦q❧❃②①⑨q⑦✸❧q⑤✒♥♦❧ ❣❥♥❭➀➽tr②①♥♦⑥❼❧❃❢➽♣r⑥✒②①s✇❧❃♣❐ã➤➀✇♣rs✒â➽✈①❢♦❣❼❣❥❢♦s✹✐✒♥♦❧q❧❃②①⑨qs✒⑦✠♥❤❣❥❢♦s♠â✏❧❃⑤✒② ⑥✒❢✇✈①❦✒❣❼②①s✇❧❃⑦✏♣rs✩♥✎❧❃②➥➆✒❧➽✈①❢♦⑨q✐✖❢❤⑨❃♥ ➂✸ð ②➥➆✒❧✏❣❥♣rs✒♣rs✒â❼♣rs✓❸❤❢♦tr❸♦②③⑦ ❧❁ä❑❢☛♣r❣❥✐✴❢♦⑨❃❧q♥♦s✇❧✰⑦❃❧q②①✐✒⑦①õ✔í➳➈➊î✹✈➥⑤✒❢✇❢♦⑦q♣❾s♠â✓ë❭✈③❢♦s✒⑦q❧❃⑨❃❦♠✈①❧❃♣rs✒â✎❧❃⑤✒② ⑥✒❢✇✈①❦✒❣❼②①s✇❧✚⑨❃②①✐♠⑨❃②①⑦q②①s✇❧❃♥♦❧q♣r❢♦s✎♥♦s✒⑥✎í î ✖s♠⑥✒♣rs✒â★❢❭ã❄⑨❃②①tr♥♦❧q♣r❢♦s✒⑦ ♥♦❣❼❢♦s✒â★❧q⑤✒②➽⑥✒❢✇✈①❦✒❣❥②③s✓❧q⑦ ➂★➁ ❻ ❶ ④✄❻❷❦♠⑦❃②①⑦✏♥✄⑤✒♣r②①⑨q♥♦⑨q✈➳⑤✇➀☛❢➏ã ⑥✒♣ ❝②①⑨❃②①s✇❧✚⑨q②①✐✒⑨❃②③⑦❃②①s✇❧❃♥❤❧❃♣r❢♦s♠⑦ ☞➂ ☛ ②①tr♥❤❧❃♣r❢♦s✒⑦❑♥♦❣❼❢♦s✒â✰❧q⑤✒②✰⑥✒❢✇✈①❦✇å ❣❥②③s✓❧q⑦✠♥❤⑨❃②✏⑥✒②③❧❃②①⑨q❣❥♣rs✒②①⑥☛❦♠⑦❃♣rs✒â❥❿✴❢♦❧q⑤☛❦✒s✒⑦q❦✒✐✴②①⑨❃❸✇♣r⑦❃②①⑥✩⑤♠♣❾②③⑨❁å ♥♦⑨q✈➥⑤✒♣r✈①♥♦t✴✈①tr❦✒⑦❃❧q②①⑨❃♣rs✒â✹♥♦trâ♦❢❤⑨❃♣r❧❃⑤✒❣❼⑦Ü♥❤s✒⑥★❢♦✐✒❧q♣r❢♦s✒♥❤t✒❦✒⑦❃②③⑨▼ã➤②③②①⑥✇å ❿✒♥❤✈➳ç✄⑥✒⑨q♣r❸♦②①s☛✐♠♣❾②③✈①②①ä✚♣r⑦❃②➽tr♣❾s♠②①♥♦⑨❍✈①tr♥♦⑦❃⑦q♣ ✖②①⑨❃⑦ ➂ ✁ ➆◗✐✴②①⑨q♣❾❣❼②①s✇❧❃⑦ ⑨❃②③✐✖❢❤⑨❃❧❃②③⑥❷♣rs✦❧❃⑤✒♣r⑦✄✐✒♥❤✐✖②①⑨✎⑥✒♣r⑥❬s✒❢♦❧☛❦♠⑦❃②Ò♥❤s✇➀✤❦✒⑦❃②③⑨☛ã➤②③②①⑥✇å ❿✒♥❤✈➳ç✎⑥✒⑨q♣❾❸❤②①s✎⑦❃❦✒✐✴②①⑨❃❸✇♣r⑦❃②③⑥ÿtr②①♥❤⑨❃s✒♣rs✒â ✍➂ ✌ s♠⑥✒②①⑨✏s✒❢✔⑦❃❦✒✐✴②①⑨❃❸✇♣❐å ⑦❃♣r❢❤s❥⑦❃❧q♥♦❧q②❭❹✖♥➽⑤✒♣r②①⑨❃♥❤⑨❃✈➥⑤✒♣r✈①♥❤t❝✈①tr❦✒⑦❃❧q②①⑨❃♣rs✒â★♥❤t❾â❤❢♦⑨q♣❾❧q⑤✒❣✪♣r⑦❋❦✒⑦q②①⑥ ã➤❢❤⑨❥â♦②③s✒②①⑨❃♥❤❧❃♣rs✒â✼♥Ò✈①❢❤s✒✈①②①✐✒❧✄â❤⑨❃♥♦✐♠⑤✤⑨❃②①tr♥❤❧❃♣rs✒â✩⑥✒❢✇✈①❦✒❣❼②①s✇❧❃⑦ ♥♦s♠⑥✩✈①tr❦✒⑦❃❧q②①⑨❃⑦➽❧❃❢☛②③♥♦✈➥⑤✩❢♦❧q⑤✒②①⑨ ✎ ➂ ✌ ⑦❃❦✒♥❤trt❾➀✔✈①tr❦✒⑦❃❧q②①⑨❃♣rs✒â✎♥♦trâ♦❢➏å ⑨❃♣r❧q⑤✒❣❥⑦✚ä❑❢♦⑨qç★ã➤⑨q❢♦❣ý♥★⑨❃②①✐✒⑨q②①⑦❃②③s✓❧q♥♦❧q♣❾❢❤s✸❢➏ã▼❧❃⑤✒②➽❦✒s✒⑥✒②③⑨❃tr➀✇♣❾s♠â ⑦❃❧q♥♦❧q②❙⑦q✐✒♥♦✈①②➽♥♦s♠⑥➍♥❼❣❥②①♥❤⑦❃❦✒⑨q②✰❢❭ã❋⑦q♣❾❣❼♣rt❾♥❤⑨❃♣r❧❁➀✏❿✴②①❧❁ä❑②①②①s✩♥♦s✇➀ ❧❁ä❑❢★✐✖❢❤♣❾s✇❧q⑦❑ã➤⑨❃❢❤❣ ❧❃⑤✒②✹⑦❃❧❃♥❤❧❃②✏⑦q✐✒♥♦✈③② ➂✚ð ➀✇✐✒♣r✈①♥❤t❝⑨❃②①✐✒⑨q②①⑦❃②③s✓❧q♥❭å ❧❃♣r❢❤s✏❢❭ã✖❧q②➥➆✒❧❄⑥✒❢✇✈①❦✒❣❥②③s✓❧q⑦❄❦✒⑦❃②①⑦Ñ♥✠❸♦②③✈①❧❃❢❤⑨▼❢❭ã✖ä❑②①♣râ♦⑤✇❧q②①⑥✏ä❑❢♦⑨❃⑥ ã➤⑨q✱② ✄✇❦✒②①s✒✈①♣r②①⑦✰í❁✉✇♥♦tr❧q❢♦s❝❹♦❻❍trt❾♥❤s❝❹ ➅ ❦✒✈➥ç✇tr②①➀❤❹ ★❬✉✇♣rs✒â♦⑤♠♥♦t➭❹✖✎➈ ✍ ✍❭➎✇î ♣rs✤❧❃⑤♠②✸⑥✒❢✇✈①❦♠❣❥②①s✇❧ ➂ ☞❍❢❭ä❋②③❸♦②①⑨③❹✛ä❑❢♦⑨q⑥✤ã➤⑨q✱② ✄✇❦✒②①s✒✈③➀✮❿✒♥❤⑦❃②①⑥ ⑨❃②③✐✒⑨❃②①⑦q②①s✇❧❃♥❤❧❃♣r❢♦s✒⑦❍♥♦⑨q②✛⑦q❢♦❣❼②①❧❃♣r❣❥②③⑦▼⑦❃❦✒⑦q✈①②①✐✒❧q♣r❿✒tr②✏❧❃❢➽⑦❃✐✴②①trtr♣❾s♠â ②①⑨q⑨❃❢♦⑨q⑦ ➂✚➁ ❻ ❶ ④✄❻❬❧❃②➥➆✒❧ ❶ ④✄❻✠⑦✚❦♠⑦❃②✰♥♦s ➧✒➵➤➾❭➞➥➛❭➩ ⑨❃②③✐✒⑨❃②①⑦q②①s✇å ❧❃♥❤❧❃♣r❢♦s➽í ❶ ♥❤❣❥②①s♠⑦❃⑤✒②①ç✴❹✒✎➈ ✍ ✍♦➐❤î✴❢❭ã✖❧q②➥➆✒❧❃⑦❄♥♦❧❝❧q⑤✒②❋❿✴❢♦❧q❧❃❢❤❣✦t❾②③❸♦②①t ã➤❢❤⑨❋⑨q❢♦❦✒â❤⑤❥♥♦s♠♥♦tr➀✇⑦❃♣r⑦ ➂ ❻✦✈①❢♦❣★❿♠♣❾s♠♥♦❧❃♣r❢❤s❙❢➏ã❞⑥✒♣ ❝②①⑨❃②①s✇❧✚⑦q❧❃♥♦❧q♣r⑦❁å ❧❃♣r✈①♥❤t✖⑨q②①✐✒⑨q②①⑦❃②①s✇❧q♥♦❧❃♣r❢❤s✒⑦✠♥❤s✒⑥❥tr♣rs✒②①♥❤⑨❋✈①tr♥❤⑦❃⑦❃♣ ✖②③⑨❃⑦✚♥♦⑨q②✠❦✒⑦q②①⑥✄❧❃❢ â♦②③s✒②①⑨❃♥❤❧❃②✄♥✎⑤✒♣r②①⑨❃♥❤⑨❃✈➥⑤✒♣r✈①♥♦t✚⑨q②①✐✒⑨q②①⑦❃②①s✇❧q♥♦❧❃♣r❢❤s✤❢❭ã✠❧q②➥➆✒❧★⑥✒❢✇✈①❦✇å ❣❥②③s✓❧q⑦▼✮í ✭✛♥❤⑨❃â❤❦✒✐✒❧❃♥♠❹ ☞✠♥♦❣❼ï①♥♦❢❤â♦tr❦❝❹✎★✤✉◗❧❃♥ ❝❢♦⑨q⑥❝❹✒✎➈ ✍ ✍♦➉♦î ➂❞❶ ②➥å ❧❃♥❤♣rt❾②③⑥✸⑥✒②③⑦❃✈①⑨q♣❾✐♠❧❃♣r❢♦s✩❢➏ã✶❧q⑤✒②★⑥✒♣r⑦❃❧q⑨❃♣r❿✒❦✒❧q②①⑥✩♣r❣❥✐✒tr②①❣★②①s✇❧q♥♦❧❃♣r❢❤s ❢❭ã▼❧q⑤✒♣r⑦✚♥♦trâ♦❢❤⑨❃♣r❧❃⑤✒❣✪✈①♥❤s☛❿✴②✰ã➤❢♦❦♠s✒⑥❥②①tr⑦q②①ä✚⑤✒②①⑨q②❥✮í ✭✛♥❤⑨❃â❤❦✒✐✒❧❃♥♠❹ ☞✠♥❤❣❥ï①♥❤❢♦â❤t❾❦❴❹✯★❷✉✇❧q♥ ❝❢♦⑨q⑥❝❹❞✩➈ ✍✏✍♦➉❤î ➂ ✏❬❊✠❛✪❫❝❇✒✒✾ ✑✓✄✝✆✟✞✡✠ ➁ ❻ ❶ ④✄❻Ô✈③❦✒⑨❃⑨q②①s✇❧❃tr➀ñ✈①❢♦s✇❧❃♥❤♣rs✒⑦★⑥✒♥♦❧q♥✩❣❥♣rs✒♣rs✒â☛♥❤â♦②①s✇❧q⑦★ã➤❢❤⑨ s✇❦✒❣❥②③⑨❃♣r✈❥⑥✒♥❤❧❃♥✎♥♦s✒♥❤tr➀✓⑦q♣r⑦①❹❋ä✚⑤♠♣❾✈➥⑤✼♥♦⑨❃②✄⑦q❧❃♣rtrt✚♣❾s✼❧❃⑤✒②✄⑥✒②③❸♦②①t❐å ❢♦✐♠❣❥②①s✇❧❃♥❤t❄✐✒⑨❃❢✇✈①②①⑦q⑦ ➂ ❡❑❦♠⑨❃⑨❃②③s✓❧➽s✇❦✒❣❥②③⑨❃♣r✈ ❶ ④✄❻❍⑦❙✐✴②①⑨Öã➤❢♦⑨q❣ ⑦❃♣r❣❼✐✒tr②❋⑦q❧❃♥♦❧q♣r⑦❃❧❃♣r✈①♥❤t❝♥♦s✒♥❤tr➀✓⑦q♣r⑦▼⑦❃❦✒✈➥⑤❼♥♦⑦❑✈①❢♦❣❼✐✒❦✒❧❃♣rs✒â✰✈①❢❤⑨❃⑨q②①tr♥❭å ❧❃♣r❢❤s☛❣❥♥❤❧❃⑨❃♣❐➆❥♥❤❣❥❢♦s♠â✏ã➤②③♥♦❧❃❦♠⑨❃②①⑦✰♥♦s♠⑥☛❦✒⑦❃②③⑦✏❣❥♥❤✈➳⑤♠♣❾s♠②✠tr②①♥♦⑨qs✇å ♣rs✒â➽❧❃②①✈➥⑤✒s✒♣ ✄✇❦✒②①⑦③❹❝⑦❃❦✒✈➥⑤☛♥❤⑦❋⑥✒②③✈①♣r⑦❃♣r❢♦s☛❧q⑨❃②①②③⑦ ➂ ð ⑤✒②✚ã➭❢♦trtr❢❭ä✚♣❾s♠â✠⑦❃②③✈①❧❃♣r❢♦s❼⑥✒②①⑦q✈①⑨❃♣r❿✴②①⑦✠❧q⑤✒②✠ä❑②①❿❥❿♠♥♦⑦❃②③⑥❥❦✒⑦q②①⑨ ♣rs✇❧❃②①⑨Öã➤♥♦✈①②✰❢➏ã ➁ ❻ ❶ ④✄❻ ➂ ✔ ☞ ù ✕✗✖ ✘☛✣❄ù✠✙ Þ ✘✜✣❄ù✚ÛÔØ❈Ù✏Ú❞ùÓÛ❚ü ✘✏à✚ù ➁ ❻ ❶ ④✄❻✼⑤✒♥♦⑦❄♥❍ä❋❢❤⑨❃tr⑥✏ä✚♣r⑥✒②❑ä❋②①❿➽❿✒♥❤⑦❃②①⑥➽❦✒⑦❃②③⑨▼♣rs✓❧q②①⑨❁ã➭♥♦✈①②❑♥♦⑦ ⑦❃⑤♠❢❭ä✚s❥♣rs➍➌❈♣râ♦❦✒⑨q② ◗➂❞ð ⑤✒②✰♣rs✇❧❃②①⑨Öã➤♥♦✈③②✠✈①❢❤❣❥❣★❦✒s✒♣r✈①♥❤❧❃②①⑦Ñä✚♣❾❧q⑤ ✟











➌❈♣râ♦❦♠⑨❃② õ ➁ ❻ ❶ ④✄❻✛✚✝✚✝P ✚ ♣rs✇❧❃②①⑨Öã➤♥♦✈①②Ñ✈①❢♦s✇❧❃♥❤♣rs✒⑦❄í➳➈➇î❝❣❥♥❤♣rs ⑥♠♣❾⑦q✐✒tr♥❭➀✩ä✚♣rs✒⑥✒❢❭äý♥♦s✒⑥❬í î★ä✚♣rs✒⑥✒❢❭ä✚⑦➽ã➭❢♦⑨★â♦②③s✒②①⑨❃♥❤t✛✄✇❦✒②①⑨q➀ ❿♠♥♦⑦❃②③⑥★♥♦s✒♥❤t❾➀✇⑦q♣❾⑦❈♥♦s✒⑥★⑥♠♣❾⑦q✐✒tr♥❭➀✇♣❾s♠â✚✈①❢♦s✒✈③②①✐✒❧❃⑦➥ë❭ç❤②①➀★ä❋❢❤⑨❃⑥✒⑦Ñ♥♦⑦❁å ⑦q❢✇✈①♣r♥♦❧❃②③⑥➍ä✚♣r❧q⑤❥✈①tr❦✒⑦q❧❃②①⑨q⑦ ➂✚ð ⑤✒②✰tr♣❾â❤⑤✇❧❁å❁❿✒tr❦✒②✰í➤â❤⑨❃♥❭➀✒î❑♥♦s✒⑥❼⑨❃②①⑥ í➭❿✒tr♥♦✈➥ç✒î❈✈①❢♦tr❢♦⑨q②①⑥★✈①❢❤s✒✈①②①s✇❧❃⑨q♣r✈✠✈①♣r⑨❃✈③t❾②③⑦▼⑨❃②①✐♠⑨❃②①⑦q②①s✇❧✚♣❾s♠⑥✒♣r❸✓♣r⑥✒❦♠♥♦t ✈③t❾❦♠⑦❃❧❃②③⑨❃⑦ ➂✰ð ⑤✒②✏⑥♠♣❾♥❤❣❥②①❧q②①⑨✚❢❭ã▼❧q⑤✒②✏tr♣râ♦⑤✇❧❁å❁❿✒tr❦✒②✰♥♦s✒⑥✄⑨q②①⑥☛✈①❢❤t➸å ❢❤⑨❃②①⑥✔✈①♣r⑨❃✈①tr②①⑦✏tr♣rs✒②①♥❤⑨❃tr➀❥⑥♠②①✐✖②③s✒⑥✒⑦✏❢❤s☛❧❃⑤✒②➽⑥✒②①â❤⑨❃②①②➽❢❭ã❑❿✒❦✒⑦❃⑤♠♣➸å s♠②①⑦❃⑦❼❢❭ã✛❧q⑤✒②✄â♦⑨q♥♦✐✒⑤ñ②①❣❼②①⑨❃â❤♣❾s♠â✄ã➤⑨❃❢❤❣✌❧❃⑤♠②☛s✒❢✇⑥✒②✄♥♦s✒⑥✼❧❃⑤✒② s✇❦✒❣★❿✴②①⑨❑❢❭ã❄✈➳⑤♠♣❾tr⑥✒⑨q②①s✄tr②①♥❭❸♦②①⑦✚♣r❧✚⑤✒♥❤⑦①❹✒⑨q②①⑦❃✐✴②①✈①❧q♣❾❸❤②①tr➀ ➂





❧q⑤✒② ➁ ❻ ❶ ④✄❻✮⑦q➀✇⑦❃❧❃②③❣ ❧❃⑤✒⑨q❢♦❦✒â❤⑤❥♥➽✈①â♦♣✴⑦❃✈③⑨❃♣r✐✒❧ ➂✜✌ ⑦q②①⑨✚♣rs✓❧q②①⑨❁å ã➭♥♦✈①②❑✈①❦✒⑨q⑨❃②①s✇❧❃tr➀★⑦q❦✒✐✒✐✴❢♦⑨❃❧q⑦ ✖❸❤②✚❣❥♥✎✑➥❢❤⑨Ü❢❤✐✖②①⑨q♥♦❧q♣❾❢❤s✒⑦ ➂ ❡❑⑨❃②③♥♦❧❃② ❢❤✐✒❧❃♣r❢❤s☛♣r⑦✏❦✒⑦❃②③⑥✩❧❃❢✄✈①⑨❃②③♥♦❧❃②❼♥✄❧❃♥♦❿♠t❾②★❢❤❦✒❧✰❢❭ã✚❦✒s✒⑦q❧❃⑨❃❦♠✈①❧❃❦✒⑨q②①⑥ ❧q②➥➆✒❧☛⑥✒❢✇✈①❦✒❣❼②①s✇❧❃⑦ ✢ ➂ ✌ ⑦❃②①⑨q⑦✸⑦q⑤✒❢♦❦♠t❾⑥❬⑦❃❦♠✐✒✐✒tr➀✮❧q⑤✒②①⑦q②Ò⑥✒❢✇✈①❦✇å ❣❼②①s✇❧❃⑦✰❧❃❢ ➁ ❻ ❶ ④✄❻ ✣➂ ☛ ②①♥❤⑥✩❢♦✐✒❧q♣❾❢❤s✸♣r⑦✰❦✒⑦q②①⑥Ò❧q❢☛⑨❃②①♥❤⑥✩❧❃⑤✒② ✈③❢♦s✇❧❃②①s✇❧q⑦❙❢➏ã✠♥☛❧❃♥❤❿✒tr② ➂✸❶ ②①tr②①❧❃②❼❢♦✐✒❧q♣❾❢❤s✸♣r⑦➽❦✒⑦❃②③⑥Ò❧❃❢✔⑥✒②①tr②①❧❃② ♥★✈③②①⑨❃❧q♥♦♣rs✸❧q♥♦❿✒tr② ➂ ✆✠❦♠②①⑨❃➀☛❢❤✐✒❧❃♣r❢❤s➍♣r⑦❍❦✒⑦❃②①⑥✔❧❃✳❢ ✄✇❦✒②③⑨❃➀☛❧q⑤✒②①⑦❃② ❧q♥♦❿✒tr②①⑦ ➂❚➁ ❻ ❶ ④✄❻✤♥♦✐♠✐✒tr♣❾②③⑦❞❧q⑤✒②✛✉✫✆✛❺ ✄✓❦♠②①⑨❃➀➽⑦❃❦✒❿♠❣❥♣r❧❃❧q②①⑥❙❿✇➀ ❧q⑤✒②❥❦♠⑦❃②①⑨★❧q❢☛❧❃⑤✒②❼♥♦✐✒✐♠⑨❃❢♦✐♠⑨❃♣r♥♦❧q②❥❧❃♥❤❿✒tr②①⑦✏♥❤s✒⑥Ò✐✒⑨q②①⑦❃②③s✓❧q⑦★❧❃⑤✒② ⑨q②①⑦❃❦♠t❾❧❍❿✒♥♦✈➥ç❼❧❃❢➽❧❃⑤✒②✏❦♠⑦❃②①⑨ ➂Ó➁ ❻ ❶ ④✄❻✮♥❤tr⑦❃❢★⑦❃❦♠✐✒✐✖❢❤⑨❃❧q⑦✠♥♦s♠♥♦t❐å ➀✇⑦q♣❾⑦✚❢❤s❥♥➽⑦❃❦✒❿♠⑦❃②①❧❍❢❭ã❞❧q⑤✒②✏⑥✒♥❤❧❃♥❤❿✒♥♦⑦q②❭❹✒⑥✒② ✖s♠②①⑥☛❿✇➀★❧❃⑤✒②➽✝✉ ✆✰❺ ✄✇❦✒②③⑨❃➀ ➂ ➌❈♣râ♦❦✒⑨q② ⑦q⑤✒❢❭ä✚⑦★❧❃⑤✒②✄s✒❢✇⑥✒②③⑦❥❢❭ã✰♥✸❧❁➀✇✐✒♣r✈①♥❤t✚⑤✒♣r②①⑨❁å ♥❤⑨❃✈➥⑤✒♣r✈①♥❤t❞✈③t❾❦♠⑦❃❧❃②③⑨✛♥❤❣❥❢❤s✒â❙⑥♠❢✓✈③❦✒❣❥②①s✇❧q⑦✠♥♦❧❍♥❥✈①②③⑨❃❧❃♥❤♣rs✸tr②①❸❤②①t ➂ ð ⑤♠②✚⑥✒♣r⑦❃✐✒tr♥❭➀➽❢♦✐✴②①⑨❃♥❤❧❃♣r❢♦s★♣r⑦▼✈①♥❤⑨❃⑨q♣❾②③⑥❥❢♦❦♠❧▼❿✇➀❙✪♥ ✑➜♥❭❸❭♥✠♥♦✐♠✐✒tr②①❧ ➂ ➁ ❻ ❶ ④✄❻ ♣rs✇❧❃②①⑨Öã➤♥♦✈①②★♥❤tr⑦❃❢☛tr②①❧q⑦✏❧❃⑤✒②❼❦✒⑦❃②③⑨❙ï①❢✇❢❤❣❥♣rs✒â❥♣rs✎❧❃⑤✒② ⑥♠♥♦❧❃♥✔♥♦s✒✡ ⑥ ✇✄ ❦✒②①⑨q➀✇♣❾s♠â☛♥♦❿✴❢♦❦✒❧✹⑦❃✐✴②①✈①♣ ✖✈✄✈①tr❦✒⑦❃❧q②①⑨❃⑦★❿✇➀✎❣❥❢❤❦✒⑦❃② ❢❤✐✖②③⑨❃♥♦❧q♣r❢♦s✒⑦ ➂ ✟





1600 Cluster Select-Cluster Join-Cluster

1400

Execution Time (seconds)

1200

1000

800

✍✌

600

➌❈♣râ♦❦♠⑨❃②✏➎♠õ ✠♣r②①ä✦❢➏ã▼⑤✒♣r②①⑨❃♥❤⑨❃✈➥⑤✒♣r✈①♥♦t❈✈①tr❦✒⑦❃❧q②①⑨✰â♦⑨q♥♦✐✒⑤☛❢➏ã▼✐✖❢❤⑦❃❧❁å ❣❼❢♦⑨q❧❃②①❣✪⑨❃②③✐✖❢❤⑨❃❧✠✈③❢♦⑨❃✐✴❢♦⑨q♥❥♥❤❧❋⑥✒♣ ☎❝②①⑨❃②③s✓❧❍tr②①❸♦②①tr⑦ ➂

400

200

0 0

2

4 6 Number of Agents

8

10

➌❈♣râ♦❦✒⑨q②Ò➋✇õ ➁ ❻ ❶ ④✄❻ ➁ ②③⑨❁ã➤❢❤⑨❃❣❥♥❤s✒✈①② ➂ ❽✠❢❤❧❃②✩❧q⑤✒②Òtr♣rs✒②①♥❤⑨ ⑦❃✐✴②①②①⑥♠❦✒✐ ✟✖♣rs✒♣r❧q♣❾♥❤t✒⑦❃❦♠✐✖②①⑨Öåætr♣rs✒②①♥❤⑨✚⑦❃✐✴②①②①⑥✒❦♠✐➍♣r⑦❑✐✒⑨❃❢❤❿✒♥♦❿♠t❾➀➽⑥✒❦✒② ❧❃❢★❧q⑤✒②✰❣❥②①❣❼❢♦⑨q➀❙② ☎❝②①✈①❧ ➂ ★à✓✘☛✚✱✘ ✕✄á✱①✚ á➜Ú✕✴

✂✁☎✄✝✎✆ ù✚Û▼á✟✞

ù✰Ù✏Ú✢✣

✚✩②➽✐✖②①⑨Öã➤❢♦⑨q❣❥②①⑥✎❧❃⑤♠⑨❃②①②★⑦q②①❧❃⑦➽❢❭ã✚⑥✒♣ ☎Ï②③⑨❃②①s✇❧✏②➥➆✒✐✴②①⑨❃♣r❣❼②①s✇❧❃⑦✰❧❃❢

♥♦⑦q⑦❃②①⑦q⑦▼❧❃⑤♠②❋✐✴②①⑨❁ã➭❢♦⑨❃❣❼♥♦s✒✈③②▼♥♦s✒⑥✹⑦❃✈①♥❤t❾♥❤❿✒♣rtr♣❾❧❁➀✚❢➏ã✖❧❃⑤♠② ➁ ❻ ❶ ④✄❻ ⑦❃➀✇⑦q❧❃②①❣ ❦♠⑦❃♣rs✒â✏❧q②➥➆✒❧ ❶ ④✄❻✠⑦▼❢❤s✒tr➀ ➂ ✚✩②✚❣❥②①♥❤⑦❃❦✒⑨q②①⑥★❧❃⑤✒②❍②➥➆✒②➥å ✈①❦✒❧q♣r❢♦s➽❧❃♣r❣❥②①⑦❴ã➤❢♦⑨❄✈①tr❦✒⑦q❧❃②①⑨q♣rs✒â✰♥♦trt✇❧❃⑤✒②✚⑥✒❢✇✈①❦♠❣❥②①s✇❧❃⑦❄♣rs✏♥✰✈①❢❤⑨❁å ✐✒❦✒⑦❄♥❤⑦Üä❑②①trt✓♥❤⑦❄✈①tr❦✒⑦❃❧q②①⑨❃♣rs✒â✰♥✠⑦q❦✒❿✒⑦q②①❧▼❢❭ã✒❧q⑤✒②❋⑥♠❢✓✈③❦✒❣❥②①s✇❧q⑦❞⑨q②➥å tr♥♦❧q②①⑥❥❧q⑤✒⑨❃❢❤❦✒â♦⑤❼♥❙⑦q②①tr②①✈①❧✚❢♦⑨ ✑➥❢❤♣❾s★❢❤✐✖②③⑨❃♥♦❧q♣r❢♦s ➂❄ð ⑤✒⑨❃❢❤❦✒â♦⑤♠❢♦❦✒❧ ❧❃⑤♠②❥②➥➆✒✐✴②①⑨❃♣r❣❥②③s✓❧q⑦ ➁ ❻ ❶ ④✄❻ô♥❤â♦②①s✇❧q⑦❙♥❤s✒⑥✩❧❃⑤✒②❼ã➤♥❤✈①♣rtr♣❾❧q♥♦❧q❢♦⑨ ♥♦⑨q②❙✈③❢♦s ✟✖â❤❦✒⑨❃②③⑥✸❧q❢➍❦♠⑦❃② ④ ➅ ä✚⑨q♣❾❧q②➥å❁❿✒♥♦✈➥ç☛✈①♥❤✈➥⑤✒②①⑦ ➂➽é s☛♥♦trt ❧❃⑤♠②★②➥➆✒✐✖②①⑨q♣r❣❥②①s✇❧❃⑦✹ä❋②★❦✒⑦q②①⑥Ò❧q⑤✒② ð✚é❃➁ ✉ ✛ð ✁ ☛ ❧❃②➥➆✒❧✏✈③❢♦⑨❃✐♠❦✒⑦ ❢❭ã❑⑦❃♣rï①②❥➋♦➉❤④ ➅ ✈①❢♦s✇❧❃♥❤♣rs✒♣rs✒â ➐ ➒❤➋➽❧❃②➥➆✒❧✏⑥♠❢✓✈③❦✒❣❥②①s✇❧q⑦ ➂✏é ❧ ⑦ ⑦❃❧q⑨❃♣r✐✴②①⑥Ò♥❤✈①⑨❃❢❤⑦❃⑦✏♥❤t❾tÑ♥♦â♦②③s✓❧q⑦✏ä✚♣r❧❃⑤✎♥☛⑦❃❧q⑨❃♣r✐✒♣rs✒â❼ã➤♥❤✈①❧❃❢❤⑨✏❢❭ã✏➈ ➂ ð ⑤✒②❑②➥➆✒✐✖②③⑨❃♣r❣❥②①s✇❧q⑦Ü♥♦⑨q②❋✈③♥♦⑨❃⑨q♣r②①⑥❙❢❤❦✒❧Ü❢❤s✏❧❃⑤♠②✛➈ ➑❑s✒❢✇⑥✒② é❁➅ ④ ✉ ☎➁ ♥♦❧➽❻✠⑨❃â❤❢♦s✒s♠②★❽✠♥♦❧q♣r❢♦s✒♥❤t❋❺❝♥❤❿✖❢❤⑨❃♥♦❧q❢♦⑨q➀ ➂✸➃ sÒ❧q⑤✒♣r⑦✏❣❥♥➏å ✈➥⑤✒♣rs✒②❭❹❄➈ s♠❢✓⑥♠②①⑦✠♥❤⑨❃②✏❦✒⑦q②①⑥☛♥❤⑦✚✈①❢♦❣❼✐✒❦✒❧❃②✰s✒❢✇⑥✒②③⑦✠♥♦s♠⑥☛❧❃⑤✒② ⑨❃②③❣❥♥♦♣rs✒♣rs✒â✏➑✰s♠❢✓⑥♠②①⑦✚♥♦⑨q②✠❦✒⑦q②①⑥✄♥♦⑦▼⑥✒②③⑥✒♣r✈①♥♦❧q②①⑥ é ë ➃ ⑦❃②③⑨❃❸♦②③⑨❃⑦ ➂ ✁ ♥❤✈➳⑤➽✈①❢❤❣❥✐✒❦✒❧q②❋s♠❢✓⑥♠②❋⑤✒♥❤⑦❄♣❾❧q⑦❄❢❭ä✚s é ë ➃ ⑦❃❦✒❿♠⑦❃➀✇⑦❃❧q②①❣✪ä✚⑤✒♣r✈➳⑤ ❦✒⑦q②①⑦❄♣❾❧q⑦❝❢❭ä✚s✏tr❢✇✈①♥♦t❭⑥✒♣r⑦qç✖❹❭♥❤s✒⑥✏❧❃⑤♠② é ë ➃ ⑦❃②③⑨❃❸♦②③⑨❃⑦❄⑤✒♥❭❸♦②❚ã➤♥♦⑦q❧❃②①⑨ é ë ➃ ⑦❃❦✒❿♠⑦❃➀✇⑦❃❧q②①❣❥⑦ ➂❋➃ s✔❧❃⑤✒♣r⑦❑❣❥♥♦✈➥⑤✒♣rs✒②➏❹✓♥❤t❾t ➁ ❻ ❶ ④✄❻✦✈①❢♦❣èå ✐✴❢♦s✒②①s✇❧q⑦★⑨❃❦✒sñ❢♦s✼❧❃⑤✒②✔✈①❢♦❣❼✐✒❦✒❧❃②❼s✒❢✇⑥✒②①⑦ ➂❵➁ ❻ ❶ ④ó❻Ô⑥✒♥♦❧q♥ ❣❥♣rs✒♣rs✒â✚♥❤â♦②①s✇❧q⑦▼❦✒⑦❃②❍❧❃⑤✒②❍♣rs✒✐✒❦✒❧➥ë❭❢♦❦♠❧❃✐✒❦✒❧❄⑦q❦✒❿✒⑦❃➀✇⑦q❧❃②①❣ ❢➏ãÜ❧❃⑤✒② s✒❢✇⑥✒②①⑦✹❧❃⑤✒②①➀✔♥♦⑨❃②➽②➥➆✒②①✈①❦♠❧❃♣rs✒â☛❢❤s☛ã➤❢❤⑨✠⑦q❧❃❢♦⑨q♣rs✒â✄♥♦s✒⑥☛⑨q②①❧❃⑨q♣r②①❸❤å ♣rs✒â★❧❃⑤♠②❙⑥✒❢✇✈①❦♠❣❥②①s✇❧❃⑦ ➂✠ð ⑤✒② é❁➅ ④✌✉ ➁ ä❑♥♦⑦✠♣rs☛❣★❦♠t❾❧q♣❐åæ❦✒⑦q②①⑨ ❣❥❢✇⑥✒②✹⑥✒❦✒⑨❃♣rs✒â✄❧q⑤✒②❙②➜➆◗✐✴②①⑨q♣❾❣❼②①s✇❧❃⑦ ✧➂ ✁ ➆◗✐✴②①⑨q♣❾❣❼②①s✇❧❃♥❤t❞⑨q②①⑦❃❦♠t❾❧q⑦ ã➤❢❤⑨✏❧❃⑤✒②★❧q②①⑦❃❧➽❢❭ã✠⑦q✈①♥♦tr♥❤❿✒♣rt❾♣r❧❁➀✄♥♦⑨q②★✐✒⑨❃②③⑦❃②①s✇❧❃②③⑥ÿ♣rsÒ➌❈♣râ♦❦✒⑨q②❥➋ ➂ ð ⑤✒② ✟✖â❤❦✒⑨❃②✰⑦❃⑤♠❢❭ä✚⑦✚⑦❃✐✴②①②①⑥✒❦✒✐✔ã➤❢❤⑨✠í➥➈➊î❑❢♦s♠t❾➀➽✈①tr❦✒⑦q❧❃②①⑨q♣❾s♠â✒❹Üí î

✡✠

☞☛

⑦q②①tr②①✈①❧✓★❬✈①tr❦✒⑦❃❧q②①⑨①❹✴♥♦s✒⑥✄í❁➋♦✝î ✑➜❢♦♣rs ★❬✈③t❾❦♠⑦❃❧❃②③⑨✚❢♦✐✴②①⑨❃♥❤❧❃♣r❢♦s✒⑦Ñ❧❃❢❭å â❤②①❧❃⑤♠②①⑨ ➂ ✚✩②✠â♦❢❤❧✚tr♣❾s♠②①♥♦⑨❑⑦❃✐✴②①②①⑥✒❦♠✐☛ã➤❢❤⑨❋♥❤trt❝❢❭ã❞❧q⑤✒②①⑦q②❙✈①♥❤⑦❃②①⑦ ➂ ð ⑤✒②★ã➭❢♦trtr❢❭ä✚♣❾s♠â★⑦❃②①✈①❧q♣r❢♦s✩✐✒⑨q②①⑦❃②①s✇❧q⑦★⑨❃②①⑦q❦✒tr❧❃⑦➽❢❭ã✚♥♦✐✒✐✒tr➀✇♣rs✒â ❧q❢❙❣❼②①⑥✒♣r✈①♥❤t❝♣❾s◗ã➤❢♦⑨q❣❥♥♦❧q♣r✈①⑦ ➂ ✂ ù✠Þ✄á①à✓✘ ✚Ò÷ ✚①á①✓ à ✘ Ú❞á①Ýè✳Ù ✣ é s✼❧❃⑤✒♣r⑦★⑦q②①✈①❧❃♣r❢❤s✤ä❋②✄⑦q⑤✒♥♦trt✚❿✒⑨q♣❾②✆✝✖➀Ò⑥✒②③⑦❃✈①⑨q♣❾❿✴②✄ã➤②③äô❧❁➀✇✐✒♣r✈①♥❤t ♥❤✐✒✐✒tr♣r✈①♥♦❧q♣r❢♦s✒⑦❑❢❭ã ➁ ❻ ❶ ④✄❻✦♣rs❥❣❼②①⑥✒♣r✈①♥♦t✴♣rs✇ã➤❢❤⑨❃❣❥♥❤❧❃♣r✈①⑦ ➂ ❼❂ ✠❤■✒❛➷❂❚❇✒■✒❫Ü❛ ñ❫Ü●✏❂❚❇✒■ ✞ñ◆❍❆Ü❀ ☞✠❤✒✾ ✠ ➁ ❢❤⑦❃❧❃❣❼❢♦⑨q❧❃②①❣P⑨❃②③✐✖❢❤⑨❃❧❃⑦❼♥♦⑨q②➍❦♠⑦❃❦✒♥❤t❾tr➀✩❸❤②①⑨❃➀✼t❾❢❤s✒â☛♥❤s✒⑥Ò✐✒⑨q②➥å ✐♠♥♦⑨❃②③⑥✏♣rs✛❦♠s✒⑦❃❧q⑨❃❦✒✈①❧q❦✒⑨❃②③⑥★❧❃②➥➆✒❧❈ã➤❢♦⑨q❣❥♥❤❧❃⑦ ➂❝é ⑥✒②③s✓❧q♣❐ã➤➀✇♣❾s♠â✚⑥✒②①♥♦❧q⑤ ✐♠♥♦❧❃❧q②①⑨❃s♠⑦▼ã➤⑨q❢♦❣✪⑦❃❦♠✈➳⑤❼⑥✒❢✇✈①❦✒❣❼②①s✇❧❃⑦❑♣❾⑦Ñ♥♦s★♣rs✇❧❃②①⑨q②①⑦❃❧q♣❾s♠â❙✐✒⑨q❢♦❿✇å tr②①❣ ➂✸➁ ❻ ❶ ④✄❻ ä❑♥♦⑦➽❦✒⑦q②①⑥Ò❧q❢✸♥❤s✒♥♦tr➀✇ï①②❥✐✴❢♦⑦q❧❃❣❼❢♦⑨❃❧q②①❣ê⑨q②➥å ✐✴❢♦⑨q❧❃⑦✏✐♠⑨❃❢❭❸✇♣r⑥✒②①⑥✎❿✓➀ ✌ s✒♣r❸♦②③⑨❃⑦❃♣r❧❁➀☛❢➏ã✶❽❍②①ä ④✄②➥➆✒♣r✈①❢☛✉✇✈➥⑤✒❢✇❢♦t ❢➏ã❞④✄②①⑥✒♣r✈①♣rs✒② ➂ ➌❈♣râ♦❦✒⑨q②✠➎➽⑦❃⑤✒❢❭ä✚⑦✚✐✒♣r✈①❧q❦✒⑨❃②③⑦✚❢❭ã❞⑥♠♣✠❝☎ ②①⑨q②①s✇❧✚t❾②③❸♦å ②③t❾⑦❑❢❭ãÜ❧q⑤✒②✰⑤✒♣r②①⑨❃♥❤⑨❃✈➥⑤✇➀★❢❭ã❄✈①tr❦✒⑦❃❧q②①⑨❃⑦✚â❤②①s✒②①⑨q♥♦❧❃②③⑥➍❿✇➀ ➁ ❻ ❶ ④ó❻ ❧q②➥➆✒❧ ❶ ④ó❻✠⑦ ➂ ❻✠⑦✏❧q⑤✒②➽❦✒⑦❃②①⑨✹ï①❢✇❢♦❣Ô♣rs✸❧q⑤✒②➽⑥✒♥♦❧q♥➍❿✇➀✄✈①tr♣r✈➥ç♦å ♣rs✒â✹❣❥❢♦❦♠⑦❃②❑❿✒❦✒❧❃❧q❢♦s✒⑦✚❧q❢✏⑦❃✐✴②①✈①♣ ✟✖✈✰✈①tr❦✒⑦q❧❃②①⑨✚s♠❢✓⑥♠②①⑦✚⑦❃⑤✒❢❭ä✚s★❿✇➀ tr♣râ♦⑤✇❧✚❿✒tr❦✒②✹♥♦s✒⑥✄⑨❃②③⑥✸✈①❢❤s✒✈①②①s✇❧q⑨❃♣r✈❙✈③♣❾⑨q✈①tr②①⑦①❹❈✈①❢♦s✒✈③②①✐✒❧❃⑦✹⑨❃②①✐✒⑨q②➥å ⑦q②①s✇❧❃♣rs✒â☛❧q⑤✒②★s✒❢✇⑥✒②①⑦➽❿✴②①✈①❢♦❣❼②★❣❥❢❤⑨❃②➽⑦❃✐✴②①✈①♣ ✟✖✈ ➂ ➌♠❢♦⑨✰②➥➆✒♥♦❣èå ✐♠t❾②➏❹ ♥❤❧❄❧❃⑤✒②❑⑦❃②①✈③❢♦s✒⑥➽tr②①❸♦②①t♠❧❃⑤✒②❑✈①tr❦✒⑦❃❧q②①⑨❃⑦Ñ✈①❢♦⑨q⑨❃②①⑦q✐✖❢❤s✒⑥★❧❃❢♠õ▼í➳➈➇î ⑤♠②①♥♦⑥✩♥❤s✒⑥✩s✒②①✈➥ç✩✈①♥❤⑦❃②①⑦③❹✠í î✰â♦❦♠s✒⑦❃⑤✒❢❤❧✏❸✇♣r✈①❧❃♣r❣❥⑦③❹▼íæ➋❤î✰⑤✒②①❣èå ❢❤⑨❃⑨q⑤✒♥♦â❤②❙♥❤s✒⑥Òí➭➎✓î❍tr❦✒s✒â✄♥♦s♠⑥✸⑤✒②③♥♦⑨❃❧✰✈①♥❤⑦❃②①⑦ ➂❥➅ ❢♦❧❃❧q❢♦❣ t❾②③❸♦②①t ✈③t❾❦♠⑦❃❧❃②③⑨❃⑦✚✈①❢❤s✓❧q♥♦♣rs✒⑦❑⑥✒❢✇✈①❦✒❣❼②①s✇❧❃⑦▼❧q⑤✒②①❣❥⑦q②①tr❸♦②①⑦ ➂ ✉✇❢♦❣❼②❋❢➏ãÜ❧❃⑤✒② ❧❁➀✇✐✒♣r✈①♥❤tÜ❿✴❢♦❧q❧❃❢♦❣ýtr②①❸♦②③tÜ✈①tr❦✒⑦q❧❃②①⑨q⑦✛✈③❢♦⑨❃⑨q②①⑦❃✐✴❢♦s♠⑥✸❧q❢✒❹❄í➳➈➇î❑s✒②①✈➥ç ♣r✎s ✑➜❦✒⑨❃♣r②①⑦★í î✰❿♠t❾❦♠s✓❧ ã➤❢♦⑨q✈①②★❢♦s✩⑤✒②③♥♦⑥❝❹✚í❁➋♦î✰❿✒tr❦✒s✇❧✏❧q⑨❃♥❤❦✒❣❥♥❤⑦①❹ í➭➎✓î❍â♦❦♠s✒⑦❃⑤✒❢❤❧✰❸✓♣r✈①❧q♣r❣❥⑦①❹❈íæ➐❤î✠⑤♠②①❣❥❢❤⑨❃⑨❃⑤♠♥♦â♦②➏❹▼íæ➉❤î✠✐♠s✒②①❦✒❣❼♥♦❧❃♣r✈ ✈③❢♦❣❥✐♠t❾♣r✈①♥❤❧❃♣r❢♦s♠⑦▼♥♦s✒⑥✔íæ➒❤î❑✈①❢♦⑨q❢♦s✒♥❤⑨❃➀❥♥❤⑨❃❧q②①⑨❃➀✄✈①♥❤⑦❃②①⑦ ➂ ✽❬❫Ü●❍❆❈■✓✾❁■✇✒✾ ✠ ✄✤❆❈■✒❆ ✠❆✣✠✇❫ ð ⑤♠♣❾⑦Ñ⑦❃②①✈①❧q♣r❢♦s❥✐♠⑨❃②①⑦q②①s✇❧❃⑦✚♥♦s♠♥♦tr➀✇⑦❃♣r⑦▼❢❭ãÜ⑥♠♥♦❧❃♥ ã➤❢♦⑨❋➐➏➎✓➐✤☞✠②③✐✒♥♦❧q♣➸å ❧q♣r⑦❋❡✩✐✒♥❤❧❃♣r②①s✇❧❃⑦❑⑦❃❧q❦✒⑥✒♣r②①⑥★ä✚♣r❧❃⑤★⑨q②①⑦❃✐✴②①✈①❧✚❧q❢✏❧❁ä❑②①s✇❧❁➀❙❧❁ä❑❢✰⑨❃♣r⑦❃ç

✎✆✏✆





✖✕✖✗

✔✓

✙✘

Color code for -11% to 33% Correlation

# in A , # in B

22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

Ex No po t se d

ed os

36 , 38 Tattoo

A

4 , 30 Hospital

3 , 9 Acupuncture

2 , 9 AnalIc

1 , 21

1 , 0

1 , 0

P

1 , 0

E

C

44 , 6

6 , 2 Hospital

3 , 0

B

22 , 6 Surgery

8 , 30 NeedleStick

5 , 30 BodyPiercing

O

82 , 1

14 , 32 Gonorrhea

# in A, # in B

0 , 1

F

14 , 1

8 , 5 IcWithHCV

5 , 5 Prison

G

6 , 1

D

3 , 5 NeedleStick

I

K

L

2 , 5

1 , 0

3 , 0

2 , 0

H

J

M

N Group A: Group B:

545 Patients, 491 used to build Decision Tree, 54 reserved for testing the tree.

Patients not in group B. Patients from suspected substudy or control group.

➌❈♣râ♦❦✒⑨q② ◗➉ õ ❶ ②①✈③♣❾⑦q♣r❢♦s✄❧❃⑨q②①②✏❣❥❢✇⑥✒②③t❝❢❭ã ❍②①✐✒♥❤❧❃♣r❧❃♣r⑦✠❡✿⑥✒♥♦❧q♥ ➂

Color code for -11% to 33% Correlation

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♥❤❣❥✐✒tr②❭❹❭❿✴②①♣rs✒â➽⑤✒❢♦⑦q✐✒♣r❧❃♥♦tr♣rï①②①⑥★♣r⑦▼⑤♠♣❾â❤⑤✒tr➀✏✈①❢❤⑨❃⑨❃②③t❾♥❤❧❃②①⑥❼❧❃❢➽⑤✒♥❭❸❤å ♣rs✒â❼⑦❃❦✒⑨qâ♦②①⑨q➀♦❹❈♥♦s✒⑥☛♣r⑦✰s✒❢❤❧❃②①⑥✎♥♦❧❍❧❃⑤✒②★❦✒✐♠✐✖②①⑨✰tr②➥ã➤❧✰♥❤⑦✠❿✒⑨q♣❾â❤⑤✇❧ ⑨q②①⑥ñí➤â❤⑨❃♥❭➀✒î ➂✄ð ⑤✒②★✈①❢❤tr❢♦⑨✰⑦❃✈①♥❤tr②❥♥♦tr❢❤s✒â❥❧q⑤✒②❥❧q❢♦✐✎⑦❃⑤✒❢❭ä✚⑦➽♣rs✇å ✈③⑨❃②①♥❤⑦❃♣rs✒â❥⑨q②①⑥✄ã➤❢❤⑨✚✐✖❢❤⑦❃♣r❧❃♣r❸❤②✛✈③❢♦⑨❃⑨q②①tr♥♦❧q♣❾❢❤s❝❹✖♥❤s✒⑥☛♣r⑦✚⑦❃✈③♥♦tr②①⑥☛♥❤⑦ ❧q⑤✒②➽✐✖②①⑨q✈①②①s✇❧➽❢❭ã❋❸❭♥❤⑨❃♣r♥♦❧q♣❾❢❤s☛♣rs☛❢♦s♠②❙❸❭♥❤⑨❃♣r♥♦❿✒tr②✏ä✚⑤♠♣❾✈➥⑤✎♣r⑦✛②➜➆✓å ✐♠t❾♥❤♣rs✒②①⑥➽❿✓➀★❧q⑤✒②✠⑦q②①✈①❢❤s✒⑥❥❸❭♥❤⑨❃♣r♥♦❿✒tr② ➂ ❽✠②①â❤♥♦❧❃♣r❸❤②✠✈①❢❤⑨❃⑨❃②③t❾♥❤❧❃♣r❢♦s♠⑦ ♥❤⑨❃②❼⑦❃⑤✒❢❭ä✚s✼♣❾s✩❿♠t❾❦♠②☛í➤⑥♠♥♦⑨❃ç✩❿♠t❾♥❤✈➥ç◗î ➂ ➌✒❢❤⑨✏②➥➆✒♥♦❣❼✐✒tr②❭❹▼⑤✒♥❭❸❤å ♣rs✒â✔❿✖②①②③sÿ⑤♠❢♦⑦❃✐♠♣❾❧q♥♦tr♣rï①②①⑥✩❣❼②①♥♦s✒⑦➽♣r❧✏♣r⑦❙❦♠s✒tr♣❾ç❤②①tr➀☛❧❃⑤♠♥♦❧➽⑦❃②➥➆✇å ❦♠♥♦t✚⑥✒♣r⑦❃②③♥♦⑦❃②③⑦★ä❋②①⑨q②☛⑨❃②③✐✖❢❤⑨❃❧❃②③⑥ ➂✮ð ⑤✒②✄♥❤✈➳ç✇s✒❢❭ä✚tr②①⑥♠â♦②①⑥✼⑨❃♣r⑦❃ç ã➭♥♦✈①❧q❢♦⑨❃⑦❑ã➭❢♦⑨ ✠②①✐✒♥❤❧❃♣r❧❃♣r⑦✠❡✿♥♦⑨q②✠ã➭❢♦⑨❑❿✒tr❢✓❢✇⑥✄❿✴❢♦⑨❃s♠②✛❧q⑨❃♥❤s✒⑦❃❣❼♣❾⑦Öå ⑦q♣r❢♦s ➂✏ð ⑤✒⑨q②①②➽⑦❃❦✒❿✒â❤⑨❃❢❤❦✒✐✒⑦✰ã➤❢❤⑨✠❿✒tr❢✇❢✇⑥☛❿✴❢♦⑨❃s♠②❙❧q⑨❃♥♦s♠⑦❃❣❥♣r⑦q⑦❃♣r❢♦s ♥❤⑨❃②☛➈➇î é ⑥♠⑨❃❦✒â☛❦♠⑦❃②❭❹ î✰⑦q②➥➆✒❦✒♥♦t❑②➥➆✒✐✖❢❤⑦❃❦✒⑨q②❭❹✶➋❤î✰❣❥②③⑥✒♣r✈①♥♦t ➂ é ➲⑥✒⑨❃❦✒â✔❦✒⑦❃②❼♣❾⑦✹s✒❢♦❧✏✐♠♥♦⑨❃❧q♣r✈①❦✒tr♥♦⑨qt❾➀✔✈①❢♦⑨q⑨❃②①tr♥♦❧q②①⑥ñä✚♣r❧❃⑤✎⑦❃②➥➆✇å ❦♠♥♦t✠❢❤⑨✄❣❥②①⑥✒♣r✈①♥❤t✚②➥➆✒✐✖❢❤⑦❃❦✒⑨q② ➂ ④ó②①⑥✒♣r✈①♥♦t✰②➥➆✒✐✴❢♦⑦q❦✒⑨❃②✩♣rsñ❧❃⑤✒② ã➭❢♦⑨❃❣ý❢❭ã❑⑦❃❦✒⑨qâ♦②①⑨q➀♦❹❝⑤✒❢❤⑦❃✐✒♣r❧❃♥❤tr♣❾ï③♥♦❧❃♣r❢❤s➍♥❤s✒⑥☛❧q⑨❃♥♦s♠⑦❁ã➤❦✒⑦q♣r❢♦s✒⑦✰♥♦⑨q② s♠②①â♦♥❤❧❃♣r❸♦②①tr➀ñ✈①❢❤⑨❃⑨❃②③t❾♥❤❧❃②①⑥✦ä✚♣r❧q⑤✮⑦q②➥➆✒❦✒♥♦t✏②➜➆◗✐✴❢♦⑦q❦✒⑨❃②✟ã➤♥♦✈③❧❃❢♦⑨q⑦ ➂ ❍❢❭ä❋②③❸♦②①⑨③❹✠⑦❃②➥➆✒❦✒♥❤t✏⑨❃♣r⑦qçÿ♣r⑦❼✈①❢♦⑨q⑨❃②①tr♥♦❧q②①⑥❬❧❃❢Òs♠②①②①⑥✒tr②✎⑦❃❧❃♣r✈➥ç✇⑦①❹ ♥❤s✒⑥✄♥♦✈①❦♠✐✒❦✒s✒✈①❧q❦✒⑨❃② ➂ ✉✇❢❥♥★✐✒❦♠⑨❃⑦❃❦♠♣❾❧✰❢➏ã❚⑦q②➥➆✒❦✒♥♦t❄⑨q♣❾⑦qç❼ã➤♥♦✈①❧q❢♦⑨q⑦ ❣★❦♠⑦❃❧✰♥♦✈①✈③❢♦❦✒s✇❧✰ã➤❢❤⑨✏⑦❃❢❤❣❥②➽❿✒tr❢✇❢✓⑥✩❿✴❢♦⑨qs✒②❥⑨q♣r⑦❃ç✇⑦✏❢♦❦♠❧❃⑦❃♣r⑥✒②❼❢❭ã ⑦q②➥➆ ➂❚➃ s✒②✚❢➏ã✒❧❃⑤✒②❑❣❥❢❤⑦❃❧Ü♣rs✇❧❃②③⑨❃②①⑦q❧❃♣rs✒â❍ã➤♥♦✈③❧❃❢♦⑨q⑦❄♣❾⑦❈❿✖❢✇⑥✒➀✰✐✒♣r②①⑨q✈➥å ♣rs✒â ➂➍➅ ❢✇⑥✒➀✩✐✒♣r②①⑨q✈①♣rs✒â☛♣r⑦✏s✒②①â❤♥♦❧q♣❾❸❤②①tr➀✸✈③❢♦⑨❃⑨q②①tr♥♦❧q②①⑥Ò❧q❢☛❣❥❢❤⑦❃❧ ❣❼②①⑥✒♣r✈①♥❤t❝②➥➆✒✐✖❢❤⑦❃❦✒⑨q②①⑦①❹Ü❿♠❦✒❧✠♣r⑦✠⑦q❧❃⑨q❢♦s✒â❤t❾➀✄✈①❢❤⑨❃⑨q②①tr♥♦❧❃②③⑥✸❧q❢★⑦❃②➥➆✇å ❦♠♥♦t▼⑥✒♣r⑦q②①♥♦⑦q②★♥♦s✒⑥✩♥❤❧✛tr②①♥❤⑦❃❧✏✐✴❢♦⑦q♣r❧❃♣r❸♦②➽❧❃❢✄❣❥❢❤⑦❃❧✰❢❭ã✚❧❃⑤♠②★⑨❃♣r⑦❃ç ã➭♥♦✈①❧q❢♦⑨❃⑦ ➂ ✉✇❧❃❦♠⑥✒➀✇♣❾s♠â✸❿✴❢✇⑥✒➀Ò✐✒♣r②①⑨q✈①♣rs✒â✩✈①❢❤❦✒tr⑥Ò✐✴❢♦⑦❃⑦q♣r❿✒tr➀Ò♥♦♣r⑥ ❦♠s✒⑥✒②①⑨q⑦❃❧❃♥❤s✒⑥✒♣rs✒âñ⑨❃♣r⑦qç✓⑦❼♥♦s✒⑥❬②①❸❭♥❤t❾❦♠♥♦❧❃♣rs✒â✩✐✴❢♦⑦q⑦❃♣r❿✒♣rtr♣r❧❃♣r②①⑦➽ã➤❢❤⑨ ②③⑥✒❦✒✈①♥❤❧❃♣r❢♦s✄❢♦⑨✚⑨q②①â♦❦♠t❾♥❤❧❃♣r❢♦s❼❧❃❢★⑨q②①⑥✒❦✒✈①② ✠②①✐✒♥❤❧❃♣r❧❃♣r⑦✠❡ ➂ ➌❈♣❾â❤❦✒⑨❃②✤➉ñ⑦q⑤✒❢❭ä✚⑦✩♥❬⑥✒②①✈①♣r⑦❃♣r❢❤s❷❧❃⑨q②①②❬í ❍❦✒♣rs✒tr♥♦s❴❹ó➈ ♦➑❤➉♦î ❣❼❢✇⑥✒②①t❑⑥✒②①❸♦②③t❾❢❤✐✖②③⑥ñã➤⑨❃❢❤❣✌❧❃⑤♠②☛⑥✒♥♦❧q♥ ➂✤ð ⑤✒②✔⑥✒②①✈①♣r⑦❃♣r❢❤sÿ❧q⑨❃②①② ⑦q②①⑨❃❸❤②①⑦✰❧❃❢★✈①tr♥❤⑦❃⑦❃♣❐ã➤➀✄❧q⑤✒②✏⑥✒♥❤❧❃♥★♣rs✇❧❃❢★❧❃⑤♠②✏tr②①♥❭❸♦②①⑦✹í ➯r➛♦➢➥➝①➯r➝➥➟❥➮❭➧ ☞

❈➌ ♣râ♦❦✒⑨q②✶➐◗õ ❶ ②①s✒⑦❃♣r❧❁➀✰♥♦s♠⑥✏✈①❢♦s✇❧q❢♦❦✒⑨❄✐✒tr❢♦❧q⑦Ü❢➏ã✖❧❃⑤✒②❑✈①❢❤⑨❃⑨❃②③t❾♥❤❧❃♣r❢♦s ❣❥♥❤❧❃⑨q♣➸➆★♥♦❣❼❢♦s✒â ✠②①✐✒♥❤❧❃♣r❧❃♣r⑦✠❡✿⑨❃♣r⑦❃ç➽ã➭♥♦✈①❧q❢♦⑨❃⑦ ➂ ☞

ã➤♥❤✈①❧❃❢❤⑨❃⑦ ➂❋❶ ♣r⑦❃❧q⑨❃♣r❿✒❦✒❧q♣r❢♦s✒⑦❑♥♦s✒⑥✄✈①❢❤⑨❃⑨q②①tr♥♦❧❃♣r❢❤s✒⑦❋❢➏ã❞⑨q♣❾⑦qç★ã➤♥❤✈①❧❃❢❤⑨❃⑦ ♥♦⑨q②✚✈➥⑤✒♥♦⑨q♥♦✈①❧q②①⑨❃♣rï①②①⑥❼ã➤❢❤⑨❄❧❃⑤✒⑨q②①②✠⑦q❦✒❿✒⑦❃②③❧❃⑦❑❢❭ã❝✐✒♥♦❧q♣❾②③s✓❧q⑦✚í➤♥❤trt✒✐✒♥❭å ❧❃♣r②①s✇❧q⑦①❹Ü♥✄✈①❢❤s✓❧q⑨❃❢❤t▼â♦⑨q❢♦❦✒✐✩í➭â♦⑨q❢♦❦✒✐ î➜❹Ü✐✒♥❤❧❃♣r②①s✇❧❃⑦✰ä✚♣r❧❃⑤✎❧❃⑤✒② ✈①❢❤s✓❧q⑨❃❢❤t✓â❤⑨❃❢❤❦✒✐❙②➜➆◗✈③t❾❦♠⑥✒②①⑥❼í➤â♦⑨q❢♦❦✒✂✐ ❥✁ îqî ➂♦❶ ②①✈①♣r⑦❃♣r❢❤s❙❧q⑨❃②①②①⑦Ñ♥♦⑨❃② ♣rs✇❧❃⑨❃❢✇⑥✒❦♠✈①②①⑥✄♥♦s✒⑥✄❦✒⑦q②①⑥✄❧❃❢★⑦q❧❃❦✒⑥✒➀❼❧❃⑤✒②✰✈①❢❤s✇❧❃⑨❃♥❤⑦❃❧✚❢➏ã❞❧❃⑤♠②✏✐✒♥❭å ❧❃♣r②①s✇❧q⑦✏❧❃❢✄❧❃⑤♠②❙✈①❢❤s✇❧❃⑨❃❢❤t▼â♦⑨q❢♦❦✒✐ ➂✜ð ⑤♠②❙⑨q♣❾⑦qç☛ã➭♥♦✈①❧q❢♦⑨❃⑦✰♥❤⑨❃②➽ã➤❢❤⑨ ❿✒tr❢✇❢✇⑥☛♥♦s✒⑥✎⑦❃②➜➆◗❦♠♥♦t▼❧q⑨❃♥♦s♠⑦❃❣❥♣r⑦q⑦❃♣r❢♦s✄❢❭ã ✛❡ ýí ❍②①✐✒♥♦❧q♣r❧❃♣r⑦✏❡ ✠♣r⑨q❦✒⑦➳î ➂Òé s✇❧❃②①⑨q②①⑦❃❧❼♣❾⑦➽♣rsÒs✒❢❤❧❃♣rs✒â☛♥✎⑦❃②③✐✒♥♦⑨q♥♦❧❃♣r❢❤sÿ❢➏ã✠⑦❃②➥➆✒❦✒♥❤t ♥♦s♠⑥☛❿✒tr❢✇❢✓⑥✄②➥➆✒✐✴❢♦⑦q❦✒⑨❃②★ä✚⑤✒♣r✈➥⑤☛✈①❢❤❦✒tr⑥☛❣❥♥❤ç♦②❍❧❃⑤✒②➽⑥✒♥♦❧q♥❥❦✒⑦q②➥å ã➤❦✒t❝♣rs✄✈➥⑤✒♥♦⑨q♥♦✈①❧q②①⑨❃♣rï①♣rs✒â★⑦q②➥➆✒❦✒♥♦t❈⑨❃♣r⑦❃ç ➂ é s ➌❈♣râ♦❦♠⑨❃②★➐★✈①❢❤⑨❃⑨❃②③t❾♥❤❧❃♣r❢♦s✎❣❥♥❤❧❃⑨q♣❾✈③②①⑦✰♥♦⑨❃②➽❦✒⑦q②①⑥✩❧❃❢✄⑦❃⑤♠❢❭ä ⑤✒❢❭ä✩❣★❦✒✈➥⑤✏❢➏ã✖❧❃⑤♠②✚❸❭♥♦⑨❃♣r♥❤❧❃♣r❢♦s✰♣rs❙②➜➆◗✐✴❢♦⑦q❦✒⑨❃②✚❧q❢✰❢♦s✒②❑⑨❃♣r⑦❃ç ã➤♥♦✈➥å ❧❃❢❤⑨✠✈①♥❤s✸❿✴②➽②➥➆✒✐✒tr♥♦♣rs✒②①⑥☛❿✇➀✄♥♦s♠❢♦❧❃⑤♠②①⑨✰⑨❃♣r⑦❃ç❼ã➤♥❤✈①❧❃❢❤⑨ ➂ ➌✒❢❤⑨✠②➥➆✇å ☞



283 , 1

80 , 44 IcWithIVDA

Classification Leaf

1 , 9

Surgery Hospital HomoIc AnalIc OralIc IcMenses STDOther Herpes Syphillis Chlamydia Gonorrhea Prostitute IcWithIVDA ICWithHCV Prison BodyPiercing EarPiercing Acupuncture Tattoo IVDrug NeedleStick Transfusions

162 , 45 Transfusions

Risk Factor

p Ex

Surgery Hospital HomoIc AnalIc OralIc IcMenses STDOther Herpes Syphillis Chlamydia Gonorrhea Prostitute IcWithIVDA ICWithHCV Prison BodyPiercing EarPiercing Acupuncture Tattoo IVDrug NeedleStick Transfusions

445 , 46 IVDrug

Decision Node



✌☞











✩✍

✤ ù❍ü♦ùÓÛ❚ù Ù❥à✚ù✛✣ ➫r➔✒➝➽➣➥→➤➟♦➝➽✃Ñ→➤➫❾➔✔➢➥➮❭➯❾➟✄➡➥➛➥↕✴→➤➫➭➛❭➯❄➯❾➝➇➫➤➫➭➝③➞①➣ î ➂ ❻✚❧✰②①♥♦✈➥⑤☛❿✒⑨q♥♦s✒✈➥⑤❝❹❝♥ Ô ✒⑥ ②①✈③♣❾⑦q♣r❢♦s✩♣r⑦✰❣❥♥♦⑥♠②✏♣rs✸❧q②①⑨❃❣❼⑦✛❢➏ã✶❢❤s✒②★❢❭ã✚❧❃⑤♠②★⑨❃♣r⑦❃ç✄ã➭♥♦✈①❧q❢♦⑨❃⑦ ➂ ✁ ♥❤✈➳⑤✔♣❾s♠⑥✒♣r❸✓♣r⑥✒❦♠♥♦t❝ä✚♣rtrt❝②①♣r❧❃⑤✒②①⑨✰❿✒⑨q♥♦s✒✈➥⑤☛❧q❢★❧❃⑤✒②➽⑨❃♣râ❤⑤✓❧✚♣❐ã▼②➥➆✇å ❶ ♥♦❣❼♦â ⑨q②①♥♦s✒❣❥⑦❃⑤♠⑦③②①õ ç✴❹❞❺❴④ ♥♦s✒➂ â❤í➥❦✒➈✎♥♦✍✏â❤✍❤②➥➐♦åæî ♣r➂s✒⑥♠⑧ ②①♥♦✐✖❦✒②③â❤s✒♣❾⑥✒s♠②①â❥s✇⑦❃❧Ò♣r❣❼✈③♥♦♣❾tr❧❃♥❤②③⑨❃â♦♣r❢♦❧❁➀★⑨q♣rï①❸✇♥♦♣❾♥✄❧q♣❾❢❤s✇s å ✐✴❢♦⑦❃②③⑥➍❧q❢❙❧q⑤✒②✰⑨❃♣r⑦❃ç➽ã➭♥♦✈①❧q❢♦⑨①❹✒❢❤⑨❋❧q❢❙❧q⑤✒②✰tr②➥ã➤❧❑♣➸ãÜs♠❢♦❧❑②➥➆✒✐✖❢❤⑦❃②①⑥ ➂ ❭❢ ã❄❧❃②➥➆✒❧ ➂✒✥✖➡③→➤➝①➧✴➡➳➝ ❹ ➉♦➒ ➂ ð ⑤✒② ✴⑨❃⑦❃❧★❿♠⑨❃♥♦s♠✈➳⑤✿♣❾⑦★❿♠♥♦⑦❃②③⑥✤❢♦s é ❶ ⑨❃❦✒â✎❦✒⑦q② ➂✦é sÿtr②①♥➏ã ✄❹❝ä❑②❙⑦q②①②★❧❃⑤♠♥♦❧✰❢♦s✒tr➀✄❢♦s♠②❥í➭✈①❢♦s✇❧❃⑨q❢♦t↔î✰⑧✰⑨❃❢❤❦✒✐ ➅ ❣❥②①❣★❿✴②①⑨ ☞✠❦♠❿✖①② ⑨③❹✕✖ ➂ í➳➈✩✍✏✍❤➐♦î ➂✖➪Ñ➪✧✦★✥✪✩Ü➶❍➧✎➝➳➨➜↕◗➝③➞①→↔➩★➝③➧✖➫➤➛➏➯✬✫❄➯r➝✏➣➥➚❭➣➥➵ ä❑♥♦⑦❄②➥➆✒✐✖❢❤⑦❃②①⑥❼❧❃❢✏⑨q♣r⑦❃ç✏❿✇➀ é ❶ ⑨q❦✒â✰❦✒⑦❃②❭❹✒❿♠❦✒❧❄❧❃⑤✒②✚❣❼✎♥ ✑➥❢♦⑨q♣r❧❁➀ ➫➤③➝ ➩✦➱①➮❭➞✠➔✇→r➾➊➔✜↕◗➝③➞➤➱①➮➏➞①➩✜➛➏➧✖➡➥➝✚↕✒➛❭➞➥➛❭➯↔➯r➝①➯❝→➻➧❭↕✖➼✒➫❐➺✖➮❭➼✒➫➄↕✖➼✒➫ í ➑♦➋✰❢➏ã❞➎❤➎✓➐♦î❚❢❭ã❚⑧ ⑨❃❢♦❦♠✐★❻✮ä❑②①⑨❃② é ❶ ⑨❃❦✒â➽❦✒⑦❃②③⑨❃⑦ ➂ ❺❝②①♥➏ã í ð ①② ✈➥⑤✒s✒♣r✈①♥❤t ②①✐✴❢♦⑨q❧❵④✔✉ ➂★ð ⑤✒②①⑦❃♣r⑦➥î ➂➍❶ ②①✐✒♥❤⑨❃❧q❣❥②①s✇❧ ✈①tr♥♦⑦q⑦❃♣ ✖②①⑦❄♣r❧❃⑦❈❣❥②①❣★❿✴②①⑨q⑦❝♥♦⑦ é ❶ ⑨❃❦✒â❍❦✒⑦❃②①⑨q⑦ ➂ ❺❴②①♥❭ã ✈①tr♥♦⑦q⑦❃♣❐å ❢❭ã✏❑❡ ❢♦❣❥✐♠❦✒❧❃②①⑨➽✉✇✈①♣r②①s✒✈①②➏❹ s✒♣r❸❤②①⑨❃⑦q♣❾❧❁➀✩❢➏ã é trtr♣rs✒❢♦♣r⑦✏♥❤❧ ✖②①⑦✚♣r❧q⑦✚❣❥②①❣★❿✴②①⑨❃⑦Ñ♥♦⑦❑⑤✒♥❭❸✇♣❾s♠â✏⑨❃②①✈③②①♣r❸♦②①⑥☛❧q⑨❃♥❤s✒⑦❁ã➤❦♠⑦❃♣r❢♦s✒⑦③❹✒♥♦s✒⑥ ⑨q❿✒♦♥ s✒♥➏åÖ❡❑⑤♠♥♦❣❥✐♠♥♦♣râ♦s ➂ s✒❢❤❧✏⑤✒♥❭❸✇♣rs✒â✄❦✒⑦❃②①⑥ é ❶ ⑨q❦✒â♦⑦ ➂ ❻➲❣❥✎♥ ✑➥❢❤⑨❃♣r❧❁➀✄❢❭ã✠⑧✰⑨❃❢❤❦✒✐ ➅ ❣❥②③❣★❿✖②①⑨q⑦✠ä✚⑤✒♣r✈➥⑤✩ä❑②①⑨❃②❼②➥➆✒✐✖❢❤⑦❃②①⑥✩❧q❢☛⑨❃♣r⑦❃ç✔ã➤♥❤✈①❧❃❢❤⑨❃⑦✏✈①♥❤s✩❿✖② ✭✰♥♦⑨qí➳â♦➈✩❦✒✍✏✐✒✍♦q❧ ◗➉ ♥✒❹ ❹✂➃ ☞✈①❧❃➂ ❢❤❹ ❿✖②①☞❍⑨➥î♥♦➂❞❣❥➪❝ï③➶❍♥♦❢♦➹✠â❤➘✄tr❦❝➶✂❹ ✩❴é➥➪❝➂ ❹ ➶❍➞➳★ ➛❭➯➻➯❾➝③✉◗➯✖❧❃♥➹✏❝➛♦❢♦➫➭⑨q➛★⑥❝➘✔❹ →↔➅✠➧✒➵ ➂ ⑦❃②③②①s✸♣rs✄tr②①♥❭❸♦②③⑦ ✂✁☎✄✔➂ ✉✇♣❐➆➍ä❑②①⑨q②❙②➥➆✒✐✴❢♦⑦q②①⑥☛❧❃⑤♠⑨❃❢♦❦♠â♦⑤ é s✇❧❃②③⑨❁å →↔➧✓➾☛➶❍♦➾ ➝③➧✖➫➻➣✛➱①➮➏➞❥➣①➡➥➛❭➯r➛♦➢③➯❾➝✄➫➤➝➥➨❤➫✏➡①➯r➛❭➣➥➣➥→ ✫▼➡➥➛♦➫➻→➤➮➏➧✒➂ ❺❝❢❤⑦ ✈①❢❤❦✒⑨❃⑦q②✚ä✚♣❾❧q⑤ é ❶ ⑨q❦✒â✠❦♠⑦❃②①⑨q⑦①❹✒♥♦s♠⑥ ➈❋❧q⑤✒⑨❃❢❤❦✒â♦⑤ ☞✠❢❤⑦❃✐✒♣r❧q♥♦tr⑦ ➂ ✠ ❻ tr♥♦❣❼❢♦✏⑦ ❽❍♥♦❧q♣❾❢❤s✒♥♦t✠❺❴♥♦❿✴❢♦⑨q♥♦❧❃❢❤⑨❃➀ s✒✈①tr♥❤⑦❃⑦❃♣ ✖②③⑥ ②➥å ❻✠tr⑦q❢✒❹✚⑦❃♣❐➆✮⑧✰⑨❃❢❤❦✒✐ ➅ ❣❼②①❣★❿✴②①⑨❃⑦➽ä❋②③⑨❃②☛②➥➆✒✐✴❢♦⑦q②①⑥✮❧q⑤✒⑨❃❢❤❦✒â♦⑤ ✖ ✐ ❤ ❢ ⑨❃❧✩❺❝❻ å ✍♦➉➇å❃➋❭✬➎ ✍✒➈ ➂❋ð ❢✤❿✴②Ò✐✒❦✒❿♠t❾♣r⑦q⑤✒②①⑥✦♣rs✦❧❃⑤✒② ð ♥♦❧q❧❃❢✇❢♦⑦③❹✒♥♦⑦✚s✒❢❤❧❃②①⑥✄❿✇➀★❧❃⑤✒②✹✈①❢♦❦✒s✇❧✚❢➏ã❚⑧✰⑨q❢♦❦✒✐ ➅ ❣❥②①❣★❿✴②①⑨q⑦ ✒ ✐ ❃ ⑨ ✇ ❢ ✈①②③②①⑥✒r♣ s✒â♦⑦ý❢❭ã✞☞❍♣râ♦⑤ ➁ ②①⑨❁ã➭❢♦⑨❃❣❼♥♦s✒✈③②ê❡❑❢♦❣❥✐♠❦✒❧❁å ♣rs❥❧q⑤✒②❙✉✇❦✒⑨qâ♦②①⑨q➀✄❿✒⑨❃♥❤s✒✈➥⑤➍s♠❢✓⑥♠② ➂ ❺❝②①♥➏✝ã ✆ ⑦❃⑤✒❢❭ä✚⑦✚❧q⑤✒♥♦❧✚s✒♣rs✒② r ♣ ✒ s â ✍♦➒ ➂ ❢❭ã❋⑧✰⑨q❢♦❦✒✐ ➅ ä❋②③⑨❃②✏s✒❢❤❧✚②➥➆✒✐✖❢❤⑦❃②①⑥✎❧❃❢★♥❤s✇➀❥❢❭ã▼❧q⑤✒②✏❧❃②③s☛⑨❃♣r⑦❃ç✇⑦ ♥♦tr❢❤s✒â✠❧q⑤✒②❋✐♠♥♦❧❃⑤✹ã➤⑨q❢♦❣✦❧❃⑤♠②✚⑨❃❢✇❢♦❧❄❧❃❢✰❧q⑤✒②❋tr②①♥➏ã ➂❄ð ⑤✒②❋⑥♠②①✈①♣r⑦❃♣r❢♦s ✆❍❦✒♣rs✒tr♥♦s❝❹✝✖ ➂ ✰➂ í➥➈✎✍❤➑♦➉♦î ➂✖é s✒⑥♠❦✒✈①❧❃♣r❢❤s☛❢❭ã▼⑥✒②①✈③♣❾⑦q♣r❢♦s☛❧q⑨❃②①②①⑦ ➂ ➘✎➛♦➡➥➔✇→↔➧✖➝✏✭❈➥➝ ➛❭➞①➧♠→↔➧✓➾ ❹✯✮❴í➳➈➇î➥❹✖➑♠✖➈ ✰Ï➈ ➉ ➂ ❧❃⑨q②①②➽ä❋♥❤⑦✚ã➤❢❤⑨❃❣❥②③⑥❥❧❃❢❼⑤✒♣râ♦⑤✒tr♣râ♦⑤✇❧❑❧❃⑤✒②➽⑥✒♣ ❝②①⑨❃②①s♠✈①②①⑦✏❿✴②①❧❁ä❑②①②①s ⑧✰⑨q❢♦❦✒✐✒⑦❈❻Ò♥❤s✒⑥ ➅❍➂ ð ⑤♠②▼⑥✒♣r⑦❃❧q⑨❃♣r❿✒❦✒❧q♣❾❢❤s✏❢❭ã✒⑨q♣❾⑦qç❍ã➤♥♦✈①❧q❢♦⑨q⑦Ü❣★❦✒⑦q❧ ✉✇♥❤t❾❧q❢♦s❝❹▼⑧ ➂ ❹▼❻✠trrt ♥♦s❴❹✢✖ ➂ ❹ ➅ ❦✒✈➥ç✇tr②①➀♦❹❋❡ ➂ ❹✪★Ô✉✇♣rs✒â❤⑤✒♥♦t➭❹❄❻ ➂ ❿✴✢② ✑➥❦✒⑥♠â♦②①⑥★♣rs★❧❃②③⑨❃❣❥⑦❑❢❭ã❝✐✒⑨q❢❭❸✓♣r⑥✒♣rs✒â✹✈①❢♦s✇❧❃⑨q♥♦⑦q❧❋❿✴②①❧❁ä❑②①②①s✄❧❃⑤✒② í➳➈✩✍✏✍❭➎✇î ➂ ❻✠❦✒❧q♦❢ ❣❥♥❤❧❃♣r✈✏♥❤s✒♥♦tr➀✇⑦❃♣r⑦①❹❝❧q⑤✒②①❣❥②✹â♦②①s✒②③⑨❃♥♦❧q♣r❢♦s❝❹ ✐✒♥❤❧❃♣r②①s✇❧❃⑦▼♥❤s✒⑥➽❧❃⑤✒②✚✈①❢❤s✇❧❃⑨❃❢❤t✖â❤⑨❃❢❤❦✒✐ ➂❄ð ⑤✒②❑ã➤❢♦trtr❢❭ä✚♣rs✒â❑⑦❃②①✈①❧q♣r❢♦s ♥♦s✒⑥✎⑦❃❦♠❣❥❣❥♥❤❃⑨ ♣rï①♥❤❧❃♣r❢♦s❼❢❭ã❋❣❼♥♦✈➥⑤✒♣rs✒②➥å❁⑨❃②①♥❤⑥✒♥♦❿♠t❾②✹❧❃②➥➆✒❧❃⑦ ➂ ✈①❢❤s✒✈①tr❦✒⑥✒②①⑦❍❧❃⑤✒♣r⑦✚✐✒♥❤✐✖②③⑨ ➂ ✥✖➡③→➤➝①➧✴➡➳➝ ❹✒✱✬✲✴✳Ñ❁í ➋♦î➥❹❄➈①➎ ➈✖✰❝➈①➎ ➉ ➂ ✞➷ÝèÙ❥✓à ✚➇✳ ß ✣❄á①Ý★✳Ù ✣ ð ⑤✒♣r⑦▼✐✒♥❤✐✖②③⑨❋⑥✒②③⑦❃✈①⑨q♣❾❿✴②①⑥ ➁ ❻ ❶ ④✄❻✹❹✓♥❤s★♥♦â❤②①s✇❧❋❿✒♥❤⑦❃②①⑥❼♥♦⑨q✈➳⑤♠♣➸å ❧❃②③✈①❧❃❦✒⑨q②✎ã➤❢♦⑨★✐♠♥♦⑨❃♥❤trt❾②③tìë➏⑥✒♣r⑦❃❧q⑨❃♣r❿✒❦✒❧q②①⑥ñ⑥✒♥♦❧q♥✩❣❥♣rs✒♣rs✒â ➂ ④ó♥♦♣rs ✈➥⑤✒♥♦⑨q♥♦✈①❧q②①⑨❃♣r⑦q❧❃♣r✈①⑦❑❢❭ã ➁ ❻ ❶ ④ó❻ÿ♥❤⑨❃②❭❹♠í➳➈➊î❈✐✒♥❤⑨❃♥❤t❾tr②①✬t ✄✇❦✒②①⑨q➀✏✐✒⑨q❢❭å ✈①②①⑦q⑦❃♣rs✒â ★ ⑥✒♥♦❧q♥✸♥❤✈①✈①②①⑦q⑦❃♣rs✒â✒❹✹í î✹✐✒♥❤⑨❃♥♦trtr②①t✚⑥✒♥❤❧❃♥✎♥♦s✒♥❤tr➀✓⑦q♣r⑦ íæ➋❤î❍ä❋②①❿✎❿✒♥❤⑦❃②①⑥✎♣rs✓❧q②①⑨❃♥❤✈①❧❃♣r❸❤②❙⑥✒♥❤❧❃♥✇ë❭✈①tr❦✒⑦q❧❃②①⑨✰❸✇♣r⑦❃❦✒♥❤t❾♣rï①♥❤❧❃♣r❢♦s ➂ ➁ ❻ ❶ ④✄❻Ô♣r⑦➽⑦❃❧q♣❾trt✚❦✒s♠⑥✒②①⑨❥⑥♠②①❸♦②①tr❢❤✐✒❣❥②①s✇❧ ➂ ❻Ô❣❼❢✓⑥♠❦✒tr②★ã➤❢❤⑨ ⑦❃❦♠✐✖②①⑨q❸✇♣❾⑦q②①⑥☛tr②①♥❤⑨❃s✒♣rs✒â➽❢❭ã❄✐✒♣r②①✈①②➥å❁ä✚♣r⑦❃②✏tr♣rs✒②①♥❤⑨❋✈①tr♥❤⑦❃⑦❃♣ ✖②③⑨❃⑦✠❦♠⑦❁å ♣rs✒â➽ã➤②①②③⑥✒❿✒♥♦✈➥ç✄ã➭⑨❃❢♦❣Ô❧q⑤✒②✏❦✒⑦q②①⑨✏♣r⑦✠♥❤tr⑨❃②①♥❤⑥✒➀✄⑥✒②①❸♦②③t❾❢❤✐✖②③⑥☛♥♦s✒⑥ ♣rs✒✈①❢❤⑨❃✐✴❢♦⑨❃♥❤❧❃②①⑥✹♣❾s ➁ ❻ ❶ ④✄❻ ➂ ✩②❄♥♦⑨❃②❑✈①❦✒⑨q⑨❃②①s✇❧qt❾➀✰♣rs✏❧q⑤✒②▼✐✒⑨q❢❭å ✈①②①⑦q⑦✰❢❭ã▼♣rs✒✈①❢♦⑨q✐✖❢❤⑨❃♥❤❧❃♣rs✒â➽ä❋②①❿✔⑦❃②①♥❤⑨❃✈➥⑤☛②①s✒â❤♣rs✒②①⑦✠❧q❢ ➁ ❻ ❶ ④✄❻ ã➤❢❤⑨❞✐✴❢♦❧q②①s✇❧❃♣r♥♦t✴♥♦✐♠✐✒tr♣❾✈③♥♦❧❃♣r❢❤s✒⑦Ü❧q❢✏ä❋②③❿★❣❥♣rs✒♣rs✒â ➂ ✩②✚♥❤⑨❃②✚♥♦tr⑦q❢ ♣rs✇❧❃②①⑨q②①⑦❃❧q②①⑥☛♣rs★♥♦✐✒✐♠t❾➀✇♣rs✒â ➁ ❻ ❶ ④✄❻✿ã➤❢❤⑨❋✐✒⑨q❢♦❿✒tr②①❣❼⑦❄t❾♣rç❤②✚⑥✒♣r⑦❁å ②①♥❤⑦❃②✏②①❣❼②①⑨❃â❤②①s✒✈①②➏❹✖❢♦❦♠❧❃❿✒⑨q②①♥♦ç❼♣❾s✄❧q⑤✒②✰s✒②①♥♦⑨Óã➤❦✒❧q❦✒⑨❃② ➂ ✟



















































✟✡✠☞☛✍✌✏✎✒✑✔✓✖✕✘✗✏✙✛✚✜✕✘✌✝✢☞✣

ð ✒⑤ ♣r⑦❑ä❋❢❤⑨❃ç❥ä❑♥♦⑦❑⑦❃❦♠✐✒✐✖❢❤⑨❃❧q②①⑥☛❿✇➀★❽✠♥❤❧❃♣r❢♦s✒♥❤tÏ❡❑②③s✓❧q②①⑨✚ã➭❢♦⑨✚✉✇❦✇å ✐✴②①⑨❃✈①❢❤❣❥✐✒❦♠❧❃♣rs✒â✤❻❍✐✒✐✒tr♣r✈①♥♦❧q♣❾❢❤s✒⑦✄♥♦s✒⑥ ✉ ❶ ②①✐✒❧ ➂ ❢➏ã ✁ s✇å ②①⑨qâ♦➀ ➂ ✩②❼♥♦tr⑦❃❢✎♥♦✈➥ç✇s✒❢❭ä✚tr②①⑥✒â❤②❥❧❃⑤♠②➍✈③❢♦❣❥✐♠❦✒❧❃♣rs✒â☛❧q♣r❣❥②★❢♦s é❁➅ ④ö✉ ➁ ❹Üâ❤⑨❃♥♦s✇❧q②①⑥✸❿✇➀✄❻✠⑨qâ♦❢❤s✒s✒②➽❽✠♥♦❧q♣r❢♦s✒♥❤t❞❺❝♥❤❿✖❢❤⑨❃♥❤❧❃❢♦⑨q➀ ♥♦s♠⑥☛❧❃⑤✒②➽⑥✒♥❤❧❃♥★✐✒⑨q❢❭❸✓♣r⑥✒②③⑥☛❿✇➀ s✒♣r❸♦②①⑨q⑦❃♣r❧❁➀✄❢❭ã❋❽❍②①ä❷④✄②➥➆✒♣r✈①❢ ✉✇✈➥⑤✒❢✇❢♦t❝❢➏ã❋④✄②①⑥✒♣r✈①♣rs✒② ➂ ✌