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https://doi.org/10.4224/8914055

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Probing View Plan Solution Space

Scott, William

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National Research

Council Canada

Institute for

Information Technology

Conseil national

de recherches Canada

Institut de technologie

de l'information

Probing View Plan Solution Space *

Scott, W.R.

March 2005

* published as NRC/ERB-1124. March 31, 2005. 8 pages. NRC 47447.

Copyright 2005 by

National Research Council of Canada

Permission is granted to quote short excerpts and to reproduce figures and tables from this report,

provided that the source of such material is fully acknowledged.

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National Research

Council Canada

Institute for

Information Technology

Conseil national

de recherches Canada

Institut de technologie

de l'information

Probing V ie w Pla n Solut ion

Spa c e

Scott, W.R.

March 2005

Copyright 2005 by

National Research Council of Canada

Permission is granted to quote short excerpts and to reproduce figures and tables from this report,

provided that the source of such material is fully acknowledged.

ERB-1124

(4)

✬✮✭✰✯✱✯✰✭✰✲✴✳✶✵✸✷✺✹✼✻✾✽✴✿✑✿✘❀ ❀✛❁❂✽✴✳❄❃❆❅❆✿✡✲❇✿✡✭✱✽❉❈☎✲❊✯●❋✛✭✰❍❆■❏✽▲❑✤▼✦✽❉❅❆❃❖◆ P✩✲❊✿✦✭✰✽✴❈☎✲✴✯❖✵◗■❙❘✦■❙✲✴▼✡✻✘❚❯❁❂✽✴❅❆❈✥✻✾✭✰✯●✽❊❱❲❁✝✲❊❈☎✲❉❍❆✲❆◆☎❳✩✿✑✿✘✲❩❨✝✲☎◆✥❁✝✲❊❈☎✲❉❍❆✲❆◆✼❬❄❭❫❪❵❴❉✵❜❛ ❨◗✭✱✯✰✯✱✭❝✲❊✳❞✷❘✦✻❏✽❊✿✦✿❢❡✛❈❆▼✘✻❢❣❤✻✾❈❆▼✘✻❊✷✐❉✻✴✷✻❙✲ ❥❦❥❦❥❦❥ ❧❦❧❦❧❦❧❦❧❦❧ ❧❦❧❦❧❦❧❦❧❦❧ ❧❦❧❦❧❦❧❦❧❦❧ ❧❦❧❦❧❦❧❦❧❦❧ ❧❦❧❦❧❦❧❦❧❦❧

Range Camera

Frustum

Object

Fixture

Imaging Work

Space

I

V

S

Sensor-Object

Relative

Positioning

System

♠♥✭✱✐❉❅❆▼✡■♦❭❉♣rq❤✳s✲❊✐✴✭✰❈❆✐❄t✉❈✇✈✇✭✱▼✡✽✴❈☎✳♦■❙❈①✿ ②④③❞⑤❖⑥⑧⑦r⑨✸⑩✝⑥ ❶❸❷❆❹❯❺❙❻❼❹❏❽❿❾✺➀✱➁❊➂☎➂☎❻➃➂✇➄➅❾✺➆✡➇✴➈❏➀✱❹✾➉➋➊❩➌❸➍✉➍➏➎✖➁❇➆❢❻❝➐❏❹❢➐❞❻➃➂➑➁✂➂☎➒✼➉♦➓ ➈✘❹❏➆✸➇✑➔✸❻➃➉✩❾❆➇❊➆❢→➣➁❊➂☎→◗↔✡➇❊➉❜❾❸➒✼→➣❹❏➆✸❺❫❻❝➐✘❻❼➇❊➂✖➁✘❾✴❾❸➀↕❻❼↔✘➁❇→➙❻❼➇❇➂❆➐✪➐✘➒☎↔✘❷➛➁❇➐ ➜❫➝ ➇✴➈❼➞❏❹✘↔✾→▲➆✡❹✡↔✘➇❊➂❆➐❢→➟➆❢➒☎↔❏→➙❻❼➇❇➂➠➁❇➂❸➡➢❻➃➂❆➐➙❾☎❹✡↔❏→➙❻❼➇❇➂✺➤➥❶❸❷❆❹➦➌❸➍✉➍ ❻❝➐➅➧❊➂✺➇❇❽r➂❿→➣➇➨➈✡❹➩❻❝➐❏➇❇➉s➇❇➆➙❾☎❷✇❻❼↔✖→❤➇➨➁➫↔✾➀✱➁❇➐✘➐✘❻❼↔✘➁❊➀r❾✺➆✡➇✴➈❏➀✱❹✾➉➭❻➃➂ ↔✘➇❇➉s➈❏❻➃➂✺➁❇→❤➇❇➆❢❻❼➁❊➀✜➉❄➁❊→➃❷☎❹✾➉s➁❇→➙❻❼↔❢➐✘➯✟→➲❷❆❹➅➐❏❹❏→✪↔✡➇❊❺❩❹❏➆❢❻➃➂①➄➳❾❸➆✦➇✴➈❏➀✱❹❏➉ ➊➙➵➏➸✓➍➏➎✴➤⑧❶❸❷✇❻❝➐❖❾☎➁✡❾☎❹❏➆✜↔✘❷❆➁❊➆✦➁✴↔❏→➣❹❏➆❢❻✱➺❫❹❢➐✜→➲❷❆❹✜➂❸➁❇→➙➒✼➆✦❹✜➇➻➔✝→➃❷☎❹♦➌❸➍✉➍ ➁❊➂✺➡➼❾❸➆✦❹❢➐❏❹❏➂☎→➟➐s➁❯➐❏❹✾→✛↔✘➇❊❺❩❹❏➆❢❻➃➂①➄➽➉s❹✾→➲❷❆➇❫➡➩❹✡➾✾❾✺➀✱➇❊❻➃→➟❻➃➂✇➄➚➧❊➂✺➇❊❽✝➀➪➓ ❹✘➡❏➄①❹♦➇➻➔✸→➲❷❆❹✟→➣➇✘❾❆➇❊➀✱➇✦➄✴➶➚➇✑➔☞❺❙❻❼❹❏❽✺❾☎➇❇❻➃➂☎→✝➐➙❾☎➁✴↔✘❹❙➤ ➹ ➘❖➴ ⑥♥⑦r➷▲➬➛➮❞⑩✝⑥r➱✾➷ ➴ ✃✜❚❆■✛✐✴✽①✲❊✯✺✽❊❱✓✽❉❐✼❒➻■❙✻✾✿❂▼✡■❙✻✾✽❉❈☎❘✑✿✦▼✡❅☎✻❢✿✡✭✱✽❉❈▲❨◗✭➪✿✡❚➅✲✴❈➳✽✴❃❆✿✦✭❝✻❏✲❊✯❸❘✦■❏❈✼❣ ❘✦✽✴▼❂✭✰❘✝✿✡✽♦✲❉❘✦❘✦■❏✳➼❐❆✯✱❮❄✲➼✈①✭✰▼✦✿✦❅☎✲✴✯✺✽❉❐✼❒➻■❙✻✾✿✝✳❄✽✼❍✼■❙✯➟◆①❱➲✽✴▼✜■❏❰✼✲✴✳❄❃❆✯✱■ ✲❞Ï✴ÐÑ✳❄■❫❘✑❚❖◆♥✻❏✲✴❃✼✿✦❅❆▼✡✭✰❈❆✐❯❘✑❅❆▼✦❱❼✲✴✻❏■❄✐✴■❏✽❉✳❄■✾✿✦▼✡❮➛✲❊❈✥❍➽❃✺✽❉❘✡❘✦✭✱❐❆✯✰❮ ✲✴❃❆❃✥■❫✲❊▼✘✲❊❈☎✻❏■✪Ò➲▼✡■✾Ó✥■❙✻❢✿✘✲❊❈☎✻❏■✛❃☎▼✦✽❉❃✥■❙▼✑✿✡✭✱■❫❘✡Ô✾✷♥q❤❈➅✿✦❚☎■✛✭✰❈☎❘✦❃✥■❫✻❢✿✦✭✰✽✴❈ ✻❙✲✴❘✦■✴◆✩❨✝■Õ❘➻✿✘✲❊▼✦✿➚❨◗✭✱✿✦❚Ö✲➢❚❆✭✰✐✴❚❿❍❆■✾×☎❈❆✭✱✿✦✭✰✽✴❈❵✈✇✭✱▼✦✿✦❅✥✲❊✯✸✽✴❐❆❒➻■❙✻❢✿ ✳❄✽✼❍✼■❏✯➙◆✛❘✦❅☎✻✘❚➑✲❉❘➅✲Ø❁✝❪✩Ð✧▼✡■❏❃❆▼✡■❙❘✦■❏❈①✿✡✲❊✿✦✭✰✽✴❈❖◆✛✲❊❈☎❍✮❨◗✭❝❘✦❚Ù✿✦✽ ✻❏✽✴✳❄❃☎✲❊▼✡■❜✿✡❚❆■✤▼✦■❏❱➲■❏▼✡■❏❈☎✻❏■✛✳❄✽✼❍✼■❏✯●❨◗✭✱✿✦❚➅✿✦❚☎■✤✲❉✻❢✿✦❅✥✲❊✯●❘✑❚✥✲❊❃✺■✤✽✴❱ ✲✴❈➩✭✰❈☎❘➻✿✘✲❊❈☎✻❏■➼✽✴❱✉✿✦❚☎■♦❃☎❚①❮✼❘✦✭✰✻❙✲❊✯⑧✽✴❐❆❒➻■❙✻❢✿❫◆❖❘✑❅✥✻✘❚➽✲✴❘☞✲➅❃❆▼✡✽✇❍❆❅☎✻❢❣ ✿✡✭✱✽❉❈➼✯✰✭✱❈☎■✜❘✡✲❊✳❄❃❆✯✰■✴✷⑧Ú✝✽❊✿✡❚♦✻❙✲✴❘✦■❙❘♥❐✥■❙✐✴✭✰❈❄❨◗✭➪✿✡❚❄❘✦❃✺■❙✻✾✭✱×☎■❫❍➼Û①❅☎✲✴✯➪❣ ✭✱✿➻❮✟✽✴❐❆❒➻■❙✻❢✿✡✭✱✈❉■❙❘➏❱➲✽✴▼r✳❄■❫✲✴❘✦❅❆▼✦■❙✳❄■❏❈①✿r❃❆▼✦■❫✻✾✭❝❘✑✭✰✽✴❈♦✲❊❈☎❍♦❘✡✲❊✳❄❃❆✯✰✭✱❈❆✐ ❍✼■❙❈☎❘✦✭➪✿➻❮❉✷⑧✃✜❚☎■✤✭✰✳s✲❊✐❉✭✱❈❆✐♦■❏❈✇✈✇✭✰▼✦✽❉❈❆✳❄■❏❈①✿✤Ò➟♠➏✭✰✐✴❅☎▼✦■❄❭❫Ô❂✻✾✽❉❈☎❘✦✭✰❘✑✿✡❘ ✽✴❱✺✲✛▼✡✲✴❈❆✐✴■✜✻❏✲✴✳♦■❙▼✡✲☎◆❇❃✥✽①❘✑✭✱✿✦✭✰✽✴❈☎✭✱❈❆✐☞❘✦❮✇❘✑✿✦■❙✳❞◆❊✈❇✲❊▼✡✭✱✽❉❅☎❘➏×❆❰✇✿✦❅❆▼✡■❙❘ ✲✴❈☎❍▲✿✡❚❆■☞✿✡✲✴▼✦✐❉■✾✿◗✽✴❐❆❒➻■❙✻❢✿✟Ü✱❭❫Ý❫Þ➣✷ ✃✜❚❆■❙❘✦■❂✻❏✽✴✳❄❃❆❅✼✿✡■❏▼⑧✈✇✭✰❘✦✭✰✽✴❈✟✿✘✲✴❘✦ß✼❘✓✭✰❈✇✈✴✽✴✯✰✈✴■❂❃❆✯❝✲❊❈❆❈❆✭✰❈❆✐✤✈✇✭✱■❙❨❜❘❏◆ ❃❆❚✇❮✼❘✦✭✰✻❙✲❊✯✰✯✱❮❄✲❊✯✱✿✦■❙▼✦✭✰❈❆✐✸✿✡❚❆■✛▼✡■❏✯❝✲❇✿✡✭✱✈❉■❜✽✴❐❆❒➻■❙✻❢✿✦❣➣❘✦■❏❈✥❘✑✽❉▼❲❃✺✽❉❘✦■✴◆①✽✴❃✼❣ ✿✡✭✱✳❄✭✰à❏✭✰❈❆✐➽❘✦■❏❈☎❘✦✽✴▼➼❃☎✲❊▼✘✲❊✳❄■❏✿✦■❏▼✘❘❙◆✓✿✘✲❊ß✇✭✱❈☎✐➩❘✦✻❙✲❊❈☎❘❙◆⑧▼✦■❙✐✴✭❝❘➻✿✡■❏▼✡✭✱❈☎✐ ✿✦❚❆■✸✲✴✻❙Û①❅❆✭✱▼✡■❙❍➳✐✴■❙✽✴✳❄■✾✿✡▼✦✭❝✻✩❍❆✲❊✿✡✲➼✭✱❈❞✲♦✻✾✽✴✳❄✳❄✽✴❈❞✻✾✽✴❣➙✽❉▼✡❍❆✭✱❈☎✲❊✿✦■ ❱➲▼✡✲✴✳♦■➩✽❊❱✟▼✡■✾❱➲■❏▼✡■❏❈✥✻✾■➩✲✴❈☎❍➢×☎❈☎✲✴✯✱✯✰❮Ø✭✱❈①✿✦■❙✐✴▼✘✲❇✿✡✭✱❈❆✐Õ▼✘✲❊❈☎✐✴■➛✭✰✳♦❣ ✲❊✐✴■❫❘✜✭✱❈①✿✡✽➳✲❄❈❆✽✴❈❆❣➙▼✡■❙❍✼❅☎❈☎❍❆✲❊❈①✿❜✳❄✽✼❍✼■❏✯➙✷✜✃✜❚❆■✟✈✇✭✱■❙❨❿❃☎✯✰✲✴❈❆❈❆✭✰❈❆✐ ✻✾✽✴✳❄❃✺✽✴❈❆■❙❈①✿✜✽✴❱➏✿✡❚❆✭❝❘◗❃❆▼✡✽✇✻❏■❙❘✡❘✝▼✦■❙✳❄✲✴✭✱❈✥❘◗✲❊❈➚✽✴❃✺■❏❈❞❃❆▼✡✽✴❐❆✯✰■❏✳❞✷ ✹①✿✘✲❇✿✡■❙❍á✭✱❈❆❱➲✽✴▼✡✳❄✲✴✯✱✯✰❮✴◆â✿✦❚❆■ã✈✇✭✰■❏❨ ❃❆✯✰✲✴❈❆❈❆✭✰❈❆✐➥❃❆▼✡✽✴❐❆✯✰■❏✳ Ò➲❋✛ä❂ä❂Ô✛✭✰❈①✈❉✽✴✯✰✈✴■❫❘❜×☎❈✥❍✼✭✱❈☎✐➛✲➚❘✦❅❆✭✱✿✡✲✴❐❆✯✱❮➽❘✑✳s✲❊✯✰✯✉❘✦■✾✿✸✽❊❱✜❘✑■❙❈☎❘✑✽❉▼ ❃✥✽①❘✑■❫❘✉✲❊❈☎❍s✻❏✽✴❈✼×✥✐✴❅❆▼✘✲❇✿✡✭✱✽❉❈☎❘♥❱➲✽✴▼❲✲✸❘✦❃✺■❙✻✾✭✱×☎■❫❍❄▼✦■❫✻✾✽✴❈✥❘➻✿✡▼✦❅☎✻✾✿✦✭✰✽✴❈ ✽✴▼r✭✰❈☎❘✑❃✺■❙✻✾✿✦✭✰✽✴❈♦✿✡✲❉❘✑ß❸✷⑧✃✜❚❆■◗❋✛ä❂ä✖✭✱❈✇✈❉✽✴✯✰✈✴■❙❘♥▼✡■❙✲❉❘✑✽❉❈❆✭✱❈☎✐✤✲✴❐✥✽❉❅✼✿ ✽✴❐✼❒➻■❫✻❢✿✤❘✦❅❆▼✦❱❼✲✴✻❏■✪❘✑❃✥✲✴✻✾■❄å✜◆❸✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✤❘✦❃☎✲❉✻✾■➼æ✶✲❊❈☎❍➛✭✱✳s✲❊✐✴❣ ✭✱❈❆✐➅❨❂✽❉▼✦ß✼❘✦❃☎✲✴✻❏■✸ç☎✷✤✃✜❚❆■✪✈✇✭✰■❏❨✎❃❆✯❝✲❊❈➩èã✽❊❱❲❘✦✭✱à❙■✪é✂êìëè➨ë☎✭❝❘ ✳♦■❙▼✦■❙✯✱❮➅✲❊❈➚✽✴❃✼✿✡✭✱✳s✲❊✯➏❘✑❅❆❐✥❘✑■❏✿✜✽✴❱♥✈✇✭✰■❏❨◗❃✺✽✴✭✰❈①✿◗❘✦❃☎✲❉✻✾■✴✷ ❪í✳❄■❙✲❉❘✑❅☎▼✡✲✴❐❆✭✱✯✰✭✱✿➻❮✮✳❄✲❊✿✦▼✡✭➪❰îÜï❊Þ➼ð êñÜò➚ó↕ô❏Þ✪✭❝❘❯✲✮✻✾✽❉❈✼❣ ✈✴■❏❈☎✭✱■❙❈❉✿õ✲✴❈☎❍î❃✥✽❇❨✝■❏▼✦❱➲❅❆✯▲❍❆✲❊✿✡✲✎❘✑✿✦▼✡❅☎✻❢✿✡❅❆▼✦■✮✻❙✲❊❃✼✿✡❅❆▼✦✭✰❈❆✐❵✿✦❚☎■ ■❙❘✡❘✑■❙❈☎✻✾■❄✽❊❱✝✿✦❚☎■s❃❆▼✦✽❉❐❆✯✰■❏✳❞✷▲✵◗✽❇❨❜❘☞✽❊❱✜ðö❘✑❃☎✲✴❈✂❍❆✭✰❘✡✻✾▼✡■✾✿✡✭✱à❙■❙❍ ❘✑❅❆▼✦❱❼✲✴✻❏■➼❘✦❃☎✲✴✻❏■➼å✮❨◗❚☎✭✱✯✰■♦✻❏✽✴✯✰❅❆✳❄❈☎❘✤❘✑❃☎✲✴❈➩❍✼✭❝❘✦✻❏▼✦■❏✿✦✭✰à❏■❫❍❯✈✇✭✱■❙❨✜❣ ❃✥✽❉✭✱❈①✿➳❘✦❃☎✲✴✻❏■➩æs✷Öð ❚✥✲✴❘➳÷❏ø➨■❙✯✱■❙✳♦■❙❈①✿✡❘❙◆✝❨◗❚☎■❏▼✡■➩÷õê➥ëå✩ë ✭✰❘♦✿✡❚❆■❞❈①❅☎✳✪❐✺■❏▼s✽❊❱✛▼✦✽❇❨❜❘❞Ò❼❘✦❅❆▼✦❱❼✲✴✻❏■➅❃✺✽✴✭✰❈①✿✡❘✘Ô➼✲✴❈☎❍➫øØêùëæ➅ë ✭✰❘➚✿✡❚❆■✖❈①❅☎✳✪❐✺■❏▼❞✽❊❱❄✻✾✽✴✯✰❅❆✳❄❈☎❘ÕÒ❼✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿✡❘✘Ô❢✷úq❤❈➑✿✡❚❆■✖✭✱❈❆❣ ❘✑❃✺■❙✻✾✿✦✭✰✽✴❈➛✻❏✲❉❘✑■❉◆☎✿✡❚❆■➼❘✦■✾✿☞å➢✭✰❘✤❍✼■❏▼✡✭✰✈✴■❙❍➚❱➲▼✡✽✴✳û❘✦❅❆❐✼❣❤❘✦✲✴✳♦❃☎✯✱✭✰❈❆✐ ✿✦❚❆■➛❚☎✭✱✐❉❚✮▼✦■❫❘✑✽❉✯✱❅✼✿✡✭✱✽❉❈✮▼✦■❏❱➲■❏▼✡■❏❈☎✻❏■➽❁✝❪✩Ð④✳❄✽✇❍❆■❏✯➙◆◗❨◗❚❆✭✱✯✰■❯❱➲✽❉▼ ▼✦■❫✻✾✽✴❈✥❘➻✿✡▼✦❅☎✻✾✿✦✭✰✽✴❈❄✭✱✿❂✭❝❘❲❍✼■❙✈✴■❏✯✰✽✴❃✺■❙❍♦❱➲▼✡✽✴✳Ñ✲❊❈s✭✰❈❆✭✱✿✦✭❝✲❊✯❸✻✾✽①✲❊▼✘❘✑■❙✯✱❮①❣ ❘✦✲✴✳♦❃☎✯✱■❫❍Ù❘✦✻❏■❏❈❆■✂■✾❰✼❃❆✯✰✽✴▼✘✲❇✿✡✭✱✽❉❈Ù❘➻✿✘✲❊✐❉■✴✷✍✃✜❚❆■✖❘✑■❏✿❯æã✭✰❘❞❍✼■❏❣ ▼✦✭✰✈✴■❫❍❞❱➲▼✦✽❉✳❦❍✼✭✰❘✡✻✾▼✡■✾✿✡✭✱à❙✭✱❈☎✐➳✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✸❘✑❃✥✲✴✻✾■➼✭✱❈✂❘✑✽❉✳❄■✪✽✴❃❆✿✦✭✱❣ ✳❄✲✴✯✓✳s✲❊❈☎❈❆■❏▼❫✷✩t❲✲❉✻✘❚❯✳❄■❙✲✴❘✦❅❆▼✘✲❊❐❆✭✰✯✰✭➪✿➻❮➅✳❄✲❊✿✦▼✡✭➪❰❞■❏✯✰■❏✳❄■❙❈❉✿✤ò➚ó↕ô ✭✰❘✟✲❞❐☎✭✱❈☎✲✴▼✦❮➩■❙❘✑✿✦✭✰✳❄✲❊✿✦■▲✽✴❱✝✳❄■❫✲✴❘✦❅❆▼✡✲✴❐❆✭✰✯✱✭✱✿➻❮➛✽❊❱◗✲❯❘✦✭✱❈❆✐❉✯✱■▲❘✦❅❆▼✦❣ ❱❼✲✴✻✾■✪❃✥✽❉✭✱❈①✿✤ü❫ó✉✽❉❈➛✲❊❈➩✲✴❃❆❃❆▼✡✽❩❰✼✭✱✳s✲❇✿✡■✸✽✴❐✼❒➻■❫✻❢✿✩✳❄✽✼❍✼■❙✯✓❱➲▼✡✽✴✳û✲ ❘✑✭✰❈❆✐✴✯✰■♦✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿✸ý✺ô✴✷♦þ❯■❫✲✴❘✦❅❆▼✘✲❊❐❆✭✰✯✱✭✱✿➻❮❯❍✼■✾✿✡■❏▼✡✳❄✭✱❈☎✲❊✿✦✭✰✽✴❈✂✭✱❈❆❣ ✈✴✽✴✯✰✈✴■❫❘❖✿✡■❙❘✑✿✡❘➏❱➲✽✴▼♥❱➲▼✡❅☎❘✑✿✦❅❆✳➦✽✼✻❙✻✾❅❆❃☎✲✴❈☎✻✾❮❉◆❇✈✇✭✰❘✦✭✱❐☎✭✱✯✰✭➪✿➻❮➼✲❊❈☎❍➼❘✑❃✺■❙✻✾❣ ✭➪×✥✻❙✲❇✿✡✭✱✽❉❈➚✻❏✽✴✳❄❃❆✯✰✭✰✲✴❈☎✻✾■sÜï❇Þ➣✷ ✃✜❚✇❅☎❘❙◆❩✿✦❚❆■◗❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈➼✿✦✽✛✿✦❚☎■✝❋✤ä❲ä➽✭✰❘r❘✦✭✰✳♦❃☎✯✱❮☞✿✡✽☞✻❏✽❇✈✴■❙▼❖✿✦❚☎■ ▼✦✽❇❨❜❘⑧✽✴❱❸ðá❨◗✭✱✿✦❚▲✲☞✳❄✭✱❈☎✭✱✳s✲❊✯✺❘✑❅☎❐☎❘✑■❏✿✉✽❊❱●✭✱✿✡❘✉✻❏✽✴✯✰❅❆✳❄❈☎❘❏✷✉❁❂✽✴❈❆❣ ❘✑■❫Û❉❅☎■❏❈①✿✦✯✰❮✴◆✇✭✱✿✜✭❝❘✝✭✱✳❄✳❄■❙❍❆✭✰✲❊✿✦■❏✯✰❮➳✲✴❃❆❃☎✲❊▼✡■❏❈①✿❂✿✦❚☎✲❊✿✝✿✡❚❆■✤❋✛ä❲ä➫✭❝❘ ✭✰❘✦✽✴✳❄✽✴▼✡❃❆❚❆✭❝✻✜✿✡✽✪✿✡❚❆■✤❘✦■✾✿◗✻✾✽❇✈❉■❏▼✡✭✱❈☎✐✸❃❆▼✦✽❉❐❆✯✰■❏✳❦Ò➟✹☎❁✝ä✝Ô❢◆✼✲✟❨✝■❏✯✰✯✱❣ ❘➻✿✡❅☎❍✼✭✰■❙❍Õ❃❆▼✡✽✴❐☎✯✱■❙✳④✭✰❈➨✻✾✽❉✳✪❐❆✭✰❈☎✲❊✿✦✽✴▼✡✭❝✲❊✯r✽✴❃❆✿✦✭✰✳♦✭✰à❙✲❊✿✦✭✰✽✴❈❖✷➽✃✜❚❆■ ✻✾✽✴✳❄❃❆✯✰■✾❰✼✭✱✿➻❮➼✽✴❱✓❍✼■❏▼✡✭✰✈①✭✰❈❆✐✪ðÿ✭✰❘✁▲Ò➙÷✄✂✾ø❆Ô❜Üï❩Þ➣✷✉✃✜❚❆■✛✻❏✽✴✳❄❃❆✯✰■✾❰✇❣ ✭➪✿➻❮▲✽✴❱➏✿✡❚❆■✪✹☎❁✝ä➢✭❝❘◗ß✇❈❆✽❇❨◗❈➳✿✡✽❄❐✥■✟P✛är❣✑❁❂✽✴✳❄❃❆✯✰■✾✿✦■sÜ✆☎❫Þ➣✷ q➣✿⑧✭✰❘➏■❏✈✇✭❝❍✼■❏❈①✿♥✿✦❚❆■❙❈❖◆❩✿✦❚✥✲❇✿r❘✑✽❉✯✱✈✇✭✰❈❆✐◗✿✦❚☎■❂❋✤ä❲ä➛✭✰❈✇✈✴✽❉✯✱✈❉■❙❘●✿➻❨✝✽ ✻✾✽✴✳❄❃❆❅❆✿✡✲❇✿✡✭✱✽❉❈☎✲❊✯⑧✻✘❚☎✲✴✯✱✯✰■❏❈❆✐❉■❙❘❙♣✟Ò➻❭❩Ô✩■✞✝▲✻✾✭✰■❏❈①✿☞✲✴✯✱✐❉✽✴▼✡✭➪✿✡❚❆✳s❘◗❱➲✽❉▼ ✲✴✻❏Û①❅❆✭✰▼✡✭✱❈❆✐➅✲➳▼✡✽✴❅❆✐❉❚➛❘✦✻❏■❏❈❆■♦✳❄✽✼❍✼■❏✯◗Ò➲✭✰❈➛✿✡❚❆■♦▼✦■❫✻✾✽✴❈✥❘➻✿✡▼✦❅☎✻✾✿✦✭✰✽✴❈ ✻❏✲✴❘✦■❫Ô✾◆✓❍✼✭❝❘✦✻❏▼✦■❏✿✦✭✰à❏✭✰❈❆✐➩å❿✲❊❈☎❍Õæû✲❊❈✥❍➽✻❏✽✴✳❄❃❆❅✼✿✡✭✱❈❆✐❞✿✡❚❆■s✳❄■❙✲❊❣ ❘✑❅❆▼✘✲❊❐☎✭✱✯✰✭➪✿➻❮✛✳s✲❇✿✦▼✡✭✱❰☞ðñÜï❩Þ✼✲❊❈☎❍sÒ➙Ý✴Ô●❘✦✽✴✯✰✈✇✭✱❈❆✐✜✿✡❚❆■❂❘✦■✾✿♥✻✾✽❇✈✴■❙▼✦✭✰❈❆✐ ❃❆▼✦✽❉❐❆✯✰■❏✳❞✷❯✃✜❚❆✭✰❘✪❃☎✲❊❃✺■❏▼✪❃❆▼✦■❫❘✑■❙❈①✿✡❘✪✲❯❘✦✽✴✯✰❅✼✿✡✭✱✽❉❈Õ✳♦■❏✿✦❚❆✽✼❍✂❱➲✽❉▼ ✿✦❚❆■✟❋✤ä❲ä✮✈❉■❏▼✘❘✑✭✰✽✴❈❞✽✴❱♥✿✡❚❆■♦✹✥❁✝äØ❐①❮➚■✾❰✼❃❆✯✰✽✴✭✱✿✦✭✰❈❆✐▲ß✇❈❆✽❇❨◗✯✰■❙❍❆✐✴■ ✽❊❱✓✿✡❚❆■☞✿✦✽❉❃✥✽❉✯✱✽❉✐✴❮▲✽✴❱➏✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿✩❘✦❃☎✲❉✻✾■✴✷ ✃✜❚❆■✸❃✥✲❊❃✺■❏▼✩✭❝❘◗✽❉▼✦✐①✲❊❈❆✭✰à❏■❫❍➅✲❉❘✜❱➲✽✴✯✰✯✱✽❇❨❜❘❙✷✉q❤❈➩✹✇■❫✻❢✿✡✭✱✽❉❈➩Ý✼◆❆❨✝■

(5)

✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿♥✻✾✽✴▼✡▼✡■❏✯❝✲❇✿✦✭✰✽✴❈✓✷✓✹✇■❙✻✾✿✦✭✰✽✴❈✪Ï❜✻✘❚✥✲❊▼✘✲✴✻❢✿✡■❏▼✡✭✱à❙■❙❘✺✿✡❚❆■✝✹☎❁✝ä ✲✴❈☎❍✟❐❆▼✡✭✰■✾Ó☎❮✟▼✡■❏✈✇✭✰■❏❨❜❘⑧✻✾✽❉❈✇✈✴■❏❈①✿✡✭✱✽❉❈☎✲❊✯✇❘✑■❏✿✉✻✾✽❇✈✴■❙▼✦✭✰❈❆✐✛✳♦■❏✿✦❚❆✽✼❍❆❘❙✷ ✹✇■❫✻❢✿✡✭✱✽❉❈✁➼❍✼■❫❘✦✻❏▼✦✭✰❐✥■❫❘r✿✡❚❆■✩❃❆▼✡✽✴❐✺■✩✳❄■❏✿✦❚❆✽✼❍●◆✇❨◗❚❆✭✰✯✱■☞✹✇■❙✻✾✿✦✭✰✽✴❈✄✂ ❃❆▼✡■❙❘✦■❏❈①✿✘❘❲■❏❰✇❃✺■❏▼✡✭✰✳♦■❙❈①✿✡✲❊✯❸▼✡■❙❘✦❅❆✯✱✿✡❘❙✷⑧♠♥✭✰❈☎✲❊✯✰✯✰❮✴◆☎✹✇■❫✻❢✿✦✭✰✽✴❈❞❛♦❘✑❅❆✳♦❣ ✳s✲❊▼✡✭✰à❏■❙❘❂✿✡❚❆■✸▼✦■❫❘✑❅☎✯➪✿✘❘◗✲❊❈☎❍➚✻✾✽❉❈☎✻✾✯✰❅☎❍✼■❫❘✜✿✦❚❆■✸❃✥✲❊❃✺■❏▼❫✷ ☎ ✆ ➱✞✝✠✟ ✡☞☛❏⑨ ➴❯➴ ➱ ➴✍✌ ✡➠⑦r➷➼③✎☛✏✝✒✑ ✓✕✔✗✖ ✘✚✙✜✛✢✙✤✣✥✙✜✦★✧✩✙✤✪✁✫✭✬✯✮✱✰✲✛✢✙✤✬✥✳✵✴✷✶✸✛✺✹★✻✼✮ ✬✮❚❆✭✰✯✰■❄✿✦❚❆■▲❋✤ä❲äÖ✲❊❈✥❍✖✹✥❁✝ä✎✲❊▼✡■♦✭❝❘✦✽✴✳❄✽✴▼✡❃❆❚❆✭❝✻✪✭✰❈✖✿✦■❙▼✦✳s❘✸✽✴❱ ✻❏✽✴✳❄❃❆❅✼✿✘✲❇✿✦✭✰✽✴❈✥✲❊✯✴✻❏✽✴✳❄❃❆✯✰■✾❰✼✭➪✿➻❮❉◆❫✿✦❚❆■❙▼✦■❲✲✴▼✦■✉❘✦❅❆❐✼✿✡✯✱■✝❍✼✭✾✽✺■❙▼✦■❙❈☎✻✾■❫❘❏✷ ❳✛❈❆■◗✽✴❱❸✿✦❚❆■❫❘✑■❜✻❏✽✴❈☎✻❏■❏▼✡❈☎❘⑧✿✦❚☎■✩✻✾✽❇✈❉■❏▼✡✭✱❈❆✐☞❘✦■✾✿✡❘❙✷⑧q❤❈s✳s✲❊❈✇❮♦✹☎❁✝ä ✲✴❃❆❃❆✯✰✭✰✻❙✲❇✿✦✭✰✽✴❈✥❘❏◆◗✿✡❚❆■✖✻✾✽❇✈✴■❙▼✦✭✰❈❆✐➨❘✦■✾✿✘❘➳❚✥✲❩✈✴■➩❈☎✽➫ß✇❈❆✽❇❨◗❈Ù▼✡■❏✯❝✲❇❣ ✿✡✭✱✽❉❈☎❘✑❚☎✭✱❃Ø✿✡✽➨✽✴❈☎■➩✲❊❈❆✽✴✿✦❚❆■❙▼❙✷➠✬✮✭➪✿✡❚❿✲Õ✐❉■❏❈❆■❙▼✡✲❊✿✦■➩✲✴❈☎❍➢✿✦■❫❘➻✿ ❱➲✽❉▼✦✳➼❅❆✯✰✲❊✿✦✭✰✽✴❈❯✽✴❱r✿✦❚❆■➼❋✛ä❲ä⑧◆✺❚❆✽❇❨✝■❏✈❉■❏▼❫◆✥æ✍✭❝❘✛❍❆✭✰❘✡✻✾▼✡■✾✿✡✭✱à❙■❙❍❯❐✇❮ ✲➳ß①❈☎✽❇❨◗❈➽✲❊✯✰✐✴✽❉▼✦✭✱✿✦❚☎✳û✲✴❈☎❍❯✿✡❚❆■❏▼✡■✾❱➲✽❉▼✦■✪✿✦❚❆■➼✿✦✽❉❃✥✽❉✯✱✽❉✐✴❮❞✽❊❱❲✿✦❚❆■ ✻❏✽❇✈✴■❏▼✡✭✰❈❆✐➼❘✦■✾✿✘❘✸Ò➲✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✘❘✡Ô✝✭❝❘◗ß✇❈❆✽❇❨◗❈➅✲❄❃☎▼✦✭✰✽✴▼✡✭➟✷ ✃✜❚❆■õ✳❄✽❉❘✑✿➽✻❏✽✴✳❄✳❄✽✴❈✎❘➻✿✡▼✡✲❊✿✦■❙✐✴❮Ù❱➲✽❉▼➽❍✼✭❝❘✡✻✾▼✡■✾✿✦✭✰à❏✭✰❈❆✐➑æ ✭✰❘ ✿✡❚❆■☞✽✴❐✼❒➻■❫✻❢✿✑❣❤✻✾■❙❈①✿✦■❏▼✡■❙❍✲✿✑✈✇✭✰■❏❨❵❘✑❃❆❚☎■❏▼✡■❁❀♦✲❊❃❆❃❆▼✡✽❉✲❉✻✘❚❖◆✇✽❊❱⑧❨◗❚❆✭❝✻✘❚ ✿✡❚❆■❏▼✡■➽✲✴▼✦■➩❘✦■❏✈❉■❏▼✘✲❊✯❜✈❇✲✴▼✦✭❝✲❊❈①✿✡❘➽Ü➪❭❩Ý❫Þ➣✷Ñ✃✜❚☎■✭✿✑✽❉❃✼✿✦✭✰✳s✲❊✯✤❘✦✻❙✲❊❈✼❣ ❈❆✭✰❈❆✐➚à❏✽❉❈❆■♦✲✴✯✱✐❉✽✴▼✡✭➪✿✡❚❆✳✁❀➳✲✴❈☎❍➛✭✱✿✡❘☞✳❄✽✼❍✼✭✱×✥✻❏✲❊✿✦✭✰✽✴❈☎❘❄Üï❩Þ✉❐✥■❏✿✑✿✡■❏▼ ✳s✲❇✿✘✻✘❚❆■❙❘❲✻❏✲❊❈✥❍✼✭✰❍☎✲❇✿✦■✛✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✡❘❲❨◗✭➪✿✡❚➳❘✦■❏❈☎❘✦✽✴▼❲✻❙✲❊❃☎✲✴❐❆✭✰✯✱✭✱✿✦✭✰■❙❘ ✲✴❈☎❍✂✽✴❐✼❒➻■❫✻❢✿✟✐✴■❙✽✴✳❄■✾✿✡▼✦❮❉✷➳q❤❈Õ✭✱✿✡❘➼❘✑✭✰✳❄❃❆✯✱■❫❘➻✿✸❱➲✽❉▼✦✳❞◆➏✿✦❚❆■➅✲❊✯✰✐✴✽❊❣ ▼✡✭➪✿✡❚❆✳❦✻✾▼✡■❙✲❊✿✦■❙❘❜✽✴❈❆■➼✽✴❃✼✿✡✭✱✳s✲❊✯✰✯✰❮❉❣❤✻✾✽❉❈✼×☎✐❉❅❆▼✦■❫❍➚✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿✛❃✺■❏▼ ✈❉■❏▼✦✿✦■✾❰õ✽❉❈➨✿✡❚❆■➛✲❊❃☎❃❆▼✦✽❩❰✼✭✰✳s✲❇✿✦■➚✽✴❐❆❒➻■❙✻❢✿s✳❄✽✼❍✼■❏✯➙◆◗✻✾▼✡■❙✲❊✿✦✭✰❈❆✐✂✲ ❭❉♣✱❭✤✳s✲❊❃❆❃❆✭✰❈❆✐s❐✺■✾✿➻❨✝■❏■❙❈➅❃✺✽✴✭✰❈①✿✡❘◗✭✰❈➛å➨✲✴❈☎❍➚æ▲✷ ❪❜✯✰✯♥❘✦❅☎✻✘❚❯✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿✤✐✴■❙❈❆■❏▼✘✲❇✿✡✭✱✽❉❈❞✲✴✯✱✐❉✽✴▼✡✭➪✿✡❚❆✳s❘❜✽❇✈❉■❏▼✡✯✰✲❩❮➳✲ ✻❏✽✴✳❄❃❆✯✰■✾❰●◆❩✳✪❅❆✯✱✿✦✭✱❣➣❍❆✭✱✳❄■❏❈✥❘✑✭✰✽✴❈☎✲✴✯✴❨✝■❏❐✟✽✴❱❆❈❆■❏✭✰✐✴❚✇❐✺✽✴❅❆▼➏▼✦■❙✯✰✲❊✿✦✭✰✽✴❈✼❣ ❘✦❚❆✭✰❃☎❘❲✽❉❈▲✿✡❚❆■➼❭❫Ð❵✯✰✲❩❮❉✽✴❅✼✿✝✽❊❱✓✻✾✽❉✯✱❅☎✳♦❈✥❘✤Ò❼✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✡❘✘Ô❲✭✱❈➳✿✦❚❆■ ✳❄■❙✲❉❘✑❅☎▼✡✲✴❐❆✭✱✯✰✭✱✿➻❮✂✳s✲❊✿✦▼✡✭➪❰➨ð✍✷Øt★✽❸■❙✻✾✿✦✭✰✈✴■❙✯✱❮❉◆r✿✦❚❆✭❝❘s✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿ ✳❄■❙❘✦❚➚✭✰❘❜✲✴❈➚✲❉❘✑❃✺■❙✻✾✿◗✐✴▼✘✲❊❃❆❚❖✷ ✬➽■➩▼✦■❙❃❆▼✦■❫❘✑■❙❈①✿♦✿✡❚❆■➩✽❉❐✼❒➻■❙✻✾✿➳❘✑❅☎▼✑❱❼✲❉✻✾■➛✲✴❘➳✲õÏ✴Ð ✿✦▼✡✭✰✲✴❈❆✐✴❅✼❣ ✯❝✲❊▼✤✳❄■❙❘✦❚➽❐☎✲❉❘✑■❫❍➛✽❉❈➽❘✦✭✱✳❄❃❆✯✰✭➪×✺✻❏✲❇✿✡✭✱✽❉❈➽✽✴❱❂✬✂✽✇✽❃❂❘✤❘✦❮✇✳❄✳♦■❏✿✦▼✡✭✰✻ ❐✺✽✴❅❆❈✥❍❆✲❊▼✡❮✛❍❆✲❊✿✡✲◗❘✡✻✘❚❆■❏✳s✲✸Ü✱❭ ☎❙Þ➣✷⑧❳✛❅☎▼❖✳❄■❙❘✦❚✸✭✱✳❄❃❆✯✰■❏✳❄■❏❈①✿✘✲❇✿✦✭✰✽✴❈ ■❏❰✇❃☎✯✱✭❝✻✾✭✱✿✦✯✰❮❞■❏✳✪❐✺■❙❍☎❘❄➳✽✴❱❲ïs❃✺✽❉❘✡❘✑✭✰❐❆✯✰■✟✿✦✽❉❃✥✽❉✯✱✽❉✐✴✭❝✻❏✲✴✯❖▼✦■❙✯✰✲❊✿✦✭✰✽✴❈✼❣ ❘✦❚❆✭✰❃☎❘❏♣✺❅✩❆ æs◆❇❅✩❆❉❈✟◆✼❈❊❆❋❅✶✲❊❈☎❍✂æ✩❆❉❈✟✷✸q❤❈➩✿✦❚❆✭❝❘ ✻❏✽✴❈①✿✦■❏❰①✿❫◆✺t✩◆❋ ✲❊❈☎❍➛✃Ö▼✡■✾❱➲■❙▼❜✿✡✽▲✳❄■❙❘✦❚➛■❙❍✼✐❉■❙❘❙◆✥✈❉■❏▼✦✿✦✭❝✻✾■❫❘✩✲❊❈✥❍ ✿✡▼✦✭❝✲❊❈❆✐❉✯✱■❫❘✟✲❊❈✥❍✂✿✦❚❆■➅❈❆✽❊✿✘✲❇✿✦✭✰✽✴❈❍●■❆❑❏ ✳❄■❫✲❊❈☎❘▲✿✑✐✴✭✰✈✴■❙❈◆▼✪◆ ×☎❈✥❍P❖◗❀☎✷①✃✜❚❆■✩✳♦✽✼❍✼■❫❘➻✿✜❘➻✿✡✽✴▼✘✲❊✐❉■◗▼✦■❫Û❉❅☎✭✱▼✡■❏✳❄■❏❈①✿✘❘r❱➲✽✴▼❲✿✦❚❆■✤■❏✳♦❣ ❐✺■❙❍❆❍❆■❙❍✸✻✾✽❉❈❆❈❆■❫✻❢✿✦✭✰✈✇✭➪✿➻❮☞✲❊✯✰✯✰✽❇❨❜❘❸❅☎❘●✿✡✽❜▼✡✲✴❃❆✭❝❍✼✯✱❮☞✲❊❈✥❍☞■ ✝▲✻✾✭✰■❏❈①✿✦✯✰❮ ✻❏✽✴✳❄❃❆❅✼✿✡■➽✽✴✿✦❚❆■❙▼➳✿✡✽✴❃✺✽✴✯✰✽✴✐✴✭❝✻❏✲✴✯✩▼✡■❏✯❝✲❇✿✡✭✱✽❉❈☎❘✑❚☎✭✱❃☎❘❙✷â❑✤✭✱✈❉■❏❈➑✿✦❚❆■ ❃❆▼✡■❏✈✇✭✰✽✴❅☎❘✦✯✰❮❯❈❆✽❊✿✡■❙❍✂✳s✲❊❃❆❃❆✭✰❈❆✐❯❐✺■✾✿➻❨✝■❏■❙❈Õå❿✲❊❈✥❍✖æ▲◆✓❨✝■▲✻❏✲✴❈ ✲✴✯✰❘✦✽➽▼✘✲❊❃☎✭✰❍✼✯✰❮➫✻❏✽✴✳❄❃❆❅✼✿✡■❞✿✦❚❆■❯✈✇✭✰■❏❨◗❃✺✽✴✭✰❈①✿▲❈❆■❏✭✰✐✴❚✇❐✺✽✴❅❆▼❄❱➲❅❆❈✥✻❢❣ ✿✡✭✱✽❉❈➽ý ô ❆➋èõÒ❼ý ô Ô❢✷▲✹✇❅☎✻✘❚✖✲➚✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✸❈❆■❏✭✰✐✴❚✇❐✺✽✴❅❆▼✤❱➲❅❆❈✥✻❢❣ ✿✡✭✱✽❉❈➨✻❏✲✴❈õ❐✥■❞❍✼■❏×☎❈❆■❙❍õ❱➲✽✴▼❄✲❊✯✰✯✝❍❆■✾✿✦■❙▼✦✳❄✭✰❈❆✭❝❘➻✿✡✭✰✻➚❘✦✻✘❚☎■❏✳❄■❙❘✪❱➲✽✴▼ ❍✼✭❝❘✡✻✾▼✡■✾✿✦✭✰à❏✭✰❈❆✐♦✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✩❘✦❃☎✲✴✻❏■✴✷ ✓✕✔❘✓ ✫✭✬✥✮✱✰❙✛✢✙✤✬✗✳✤✴❯❚❱✙✤❲❳❲❳✮❨✣✥✹❇✴❳✬✥✙✤✳ q❤❈➽✽✴❅❆▼☞❅☎❘✡✲❊✐❉■✴◆●✲➳✐❉■❏❈❆■❙▼✡✲✴✯✱✭✰à❏■❫❍❯✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿▲Ü✱❭✏❇Þ✩Ò❼ý✤❩❭❬❃❪✾Ô✤❍✼■✾❣ ×☎❈☎■❙❘☞✲➅❍❆✭✰❘✡✻✾▼✡■✾✿✡■♦❘✦■❏❈☎❘✦✽✴▼✤❃✺✽❉❘✦■➼ý➢❨◗✭➪✿✡❚➽✲➚❍✼■✾×✥❈❆■❙❍➩❱➲▼✦❅✥❘➻✿✡❅❆✳ ❃☎✲❊▼✘✲❊✳❄■✾✿✡■❏▼✘❘✢❬ ❪ ✷➳✃✜❚☎■❏▼✡■s✭✰❘✟✲❞❍✼✭✰▼✡■❙✻❢✿✪✻❏✽✴▼✡▼✦■❫❘✑❃✺✽✴❈✥❍✼■❏❈☎✻❏■❄❐✥■❏❣ ✿➻❨❂■❙■❏❈✟✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿✘❘➏✲✴❈☎❍✸▼✘✲❊❈❆✐❉■✉✭✰✳❄✲✴✐✴■❫❘✓✲❊❈✥❍✟❨✝■❲❨◗✭✰✯✱✯①❅☎❘✦■✉✿✦❚☎■ ✿✦■❏▼✡✳s❘s✭✰❈❉✿✡■❏▼✘✻✘❚☎✲❊❈☎✐✴■❙✲✴❐❆✯✰❮✴✷➑✃➏✽✴❃✺✽✴✯✰✽✴✐❉✭✰✻❙✲❊✯✰✯✱❮①❣❤✲✴❍❩❒✑✲❉✻✾■❏❈①✿❄✈✇✭✱■❙❨✜❣ ❃✥✽❉✭✱❈①✿✡❘✉❨◗✭✱✯✰✯❆❐✺■✩✻✾✽❉▼✦▼✡■❏✯❝✲❇✿✡■❙❍♦✲❊❈☎❍♦❚☎✲❩✈❉■✝✽❇✈❉■❏▼✡✯✰✲✴❃❆❃❆✭✰❈❆✐✤✭✱✳s✲❊✐❉■❙❘❙✷ ❪④❍✼■❏✐❉▼✦■❙■❯✽❊❱✸✭✱✳s✲✴✐✴■➛✽❇✈❉■❏▼✡✯✰✲✴❃➫✭❝❘➳❐✺✽❊✿✡❚Ù✭✰❈❆■❏✈✇✭✱✿✡✲❊❐☎✯✱■➩✲✴❈☎❍ ❍✼■❙❘✦✭✱▼✡■❙❍❖✷♥q➣✿❜✭❝❘✜✭✰❈❆■❏✈✇✭✱✿✡✲❊❐☎✯✱■✸❍✼❅❆■✤✿✡✽❞Ò✑❭❫Ô❂✿✡❚❆■☞✭✱▼✡▼✦■❙✐✴❅❆✯❝✲❊▼✜❘✦❚☎✲❊❃✺■ ✽❊❱♥✿✦❚❆■✟✭✰❈①✿✦■❙▼✡❘✦■❙✻✾✿✦✭✰✽✴❈❞✽❊❱♥✿✦❚❆■➼❘✑■❙❈☎❘✑✽❉▼✜❱➲▼✦❅✥❘➻✿✡❅❆✳ú✻❏▼✦✽①❘✦❘✑❣❤❘✑■❫✻❢✿✦✭✰✽✴❈ ❨◗✭➪✿✡❚➳✻✾✽❉✳♦❃☎✯✱■❏❰❄✽❉❐✼❒➻■❙✻✾✿❂❘✦❅❆▼✑❱❼✲❉✻✾■❜✐❉■❏✽❉✳♦■❏✿✦▼✡❮♦✲✴❈☎❍➛Ò➙Ý✴Ô✉❘✦■❏❈✥❘✑✭✰❈❆✐ ❃❆❚✇❮✇❘✦✭❝✻❏❘❜❨◗❚☎✭✰✻✘❚➩✲✴▼✦■➼❘✑■❙❈☎❘✑✭✱✿✦✭✰✈✴■✟✿✦✽➅❘✑✿✡✲✴❈☎❍✼✽❫✽➽▼✘✲❊❈❆✐❉■✴◆✺✐✴▼✘✲❊à❏✭✰❈❆✐ ✲❊❈❆✐❉✯✱■✂✲❊❈☎❍Ù❘✦❅❆▼✦❱❼✲✴✻❏■➩▼✡■✾Ó☎■❫✻❢✿✡✲✴❈☎✻✾■➽❃❆▼✡✽✴❃✺■❏▼✦✿✦✭✰■❙❘❙✷Ñ✃✜❚☎■➩❋✛ä❂ä ✲❊✯❝❘✑✽✤▼✦■❫Û①❅❆✭✱▼✡■❙❘♥✲✤❍✼■❏✐❉▼✦■❙■❂✽✴❱✥✭✰✳❄✲✴✐✴■✝✽❇✈✴■❙▼✦✯❝✲❊❃✸❱➲✽❉▼⑧▼✡✲✴❈❆✐✴■✝✭✱✳s✲✴✐✴■ ▼✦■❙✐✴✭❝❘➻✿✡▼✡✲❊✿✦✭✰✽✴❈➩✲✴❈☎❍✂✭✱❈①✿✦■❙✐✴▼✘✲❇✿✡✭✱✽❉❈➫Ü✱❭❫Ý❫Þ➣◆❖✿✡❚❆■❄❱➲✽✴▼✡✳❄■❏▼✟✲❞✻✾✽❉❈☎❘✑■❏❣ Û❉❅☎■❏❈☎✻❏■✪✽❊❱✉❘✦❮✼❘➻✿✡■❏✳û❃✥✽①❘✑■➼■❏▼✡▼✦✽❉▼✩✲❊❈✥❍➚✿✦❚❆■♦✯✰✲❊✿✦■❙▼✛✲▲❈☎■❙✻✾■❫❘✦❘✦✭✱✿➻❮ ✿✦✽s❘✑■❫✲❊✳❄✯✰■❙❘✡❘✑✯✰❮➳❘✑✿✦✭✱✿✡✻✘❚❞✲✴❍❩❒✑✲❉✻✾■❏❈①✿❜▼✘✲❊❈❆✐❉■✛✭✰✳s✲❊✐❉■❙❘❂✿✦✽❉✐✴■✾✿✡❚❆■❏▼❫✷ ❋✛✭✱■❙❨◗❃✥✽❉✭✱❈①✿❲✻✾✽❉▼✦▼✡■❏✯❝✲❇✿✡✭✱✽❉❈♦✲✴✯✰❘✦✽☞✭✱❈❆Ó☎❅❆■❏❈✥✻✾■❙❘r✿✦❚❆■✩❘✡✻✘❚❆■❙✳♦■✝❱➲✽❉▼ ❍✼✭✰❘✡✻✾▼✡■✾✿✡✭✱à❫✲❇✿✡✭✱✽❉❈➼✽✴❱✺✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿❲❘✦❃☎✲❉✻✾■✴✷⑧✃✜❚❆■❙▼✦■✜✭❝❘✉✲☞❃❆❅☎❘✦❚✼❣➣❃❆❅❆✯✰✯ ❍✼❮✇❈☎✲❊✳❄✭❝✻✖✭✱❈✇✈✴✽❉✯✱✈❉■❙❍●✷❦✬✂■õ❍✼■❫❘✑✭✰▼✦■Õ✻❙✲❊❈☎❍✼✭❝❍❆✲❊✿✦■Õ✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✘❘ ❘✑❅ ✝▲✻❏✭✱■❙❈❉✿✡✯✱❮➅❈❆■❙✲✴▼✦❐✇❮s❱➲✽❉▼❜▼✡■❏✐✴✭❝❘✑✿✦▼✘✲❇✿✦✭✰✽✴❈➚✲❊❈☎❍➚✭✰❈①✿✦■❏✐❉▼✡✲❊✿✦✭✰✽✴❈➚▼✦■❏❣ Û❉❅☎✭✱▼✡■❏✳❄■❏❈①✿✘❘✓✲❊❈✥❍☞✿✦✽❜■❙❈☎❘✦❅❆▼✦■❂✲❜❚❆✭✰✐✴❚✸❃❆▼✡✽✴❐✥✲❊❐❆✭✰✯✱✭✱✿➻❮✤✽❊❱❆✭✰✳❄✲✴✐✴✭✰❈❆✐ ❍✼✭✝▲✻❏❅❆✯➪✿✦❣➟✿✡✽❊❣➣✭✱✳s✲✴✐✴■✜❘✑❅❆▼✦❱❼✲✴✻❏■❂▼✡■❏✐❉✭✱✽❉❈☎❘❙◆❫❮❉■✾✿⑧❱❼✲❊▼r■❙❈❆✽✴❅☎✐✴❚➼✲✴❃☎✲❊▼✦✿ ❱➲✽✴▼✟■✞✝s✻❏✭✱■❙❈①✿✪❘✦✲✴✳♦❃☎✯✱✭✰❈❆✐❯✽❊❱◗✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿✪❘✦❃☎✲❉✻✾■▲✲❊❈✥❍✂✲❉✻❏✻❏■❏❃✼✿✦❣ ✲❊❐❆✯✰■✸✻✾✽✴✳❄❃❆❅❆✿✡✲❇✿✡✭✱✽❉❈☎✲❊✯●❐☎❅❆▼✡❍❆■❏❈❞✭✱❈❞✻✾✽❉❈☎❘✑✿✦▼✡❅☎✻❢✿✡✭✱❈❆✐sð✍✷ q❤✳s✲❊✐❉■❲✽❇✈❉■❏▼✡✯✰✲✴❃❖◆❇✲❊❈☎❍➼✻✾✽✴❈✥❘✑■❫Û❉❅☎■❏❈①✿✦✯✰❮☞✭✱✳s✲❊✐❉■❂▼✡■❏✐❉✭✰❘✑✿✦▼✘✲❇✿✡✭✱✽❉❈❖◆ ✻❏✲❊❈➽❐✥■s❍✼■❏✿✦■❙▼✦✳❄✭✰❈❆■❙❍➩❱➲▼✦✽❉✳û✿✦❚❆■s❍✼■❙✐✴▼✡■❏■♦✽❊❱✝✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿☞✻❏✽✴▼✦❣ ▼✦■❙✯✰✲❊✿✦✭✰✽✴❈❖✷Õ♠❆✽❉▼✪✿✡❚❆■❞❃❆❅❆▼✡❃✥✽①❘✑■❫❘✪✽✴❱✩✈✇✭✱■❙❨â❃❆✯❝✲❊❈❆❈☎✭✱❈❆✐✥◆r❨❂■❞❍✼■❏❣ ×☎❈❆■◗✿✡❚❆■✩✻✾▼✡✽❉❘✡❘✑❣➣✻❏✽✴▼✡▼✦■❙✯✰✲❊✿✦✭✰✽✴❈❵❴❜❛ ô ✽❊❱❸✿➻❨✝✽✸✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿✡❘rø❫❛☞✲✴❈☎❍ ø ô ✲✴❘✪✿✦❚☎■❞❍❆✽❊✿❄❃❆▼✦✽✼❍✼❅✥✻❢✿s✽❊❱❜✿✡❚❆■❞▼✦■❫❘✑❃✺■❙✻✾✿✦✭✰✈✴■➚✻✾✽✴✯✰❅❆✳❄❈➢✈✴■❙✻✾❣ ✿✦✽✴▼✘❘✝ð❞❝❢❡❛✸✲❊❈✥❍➳ð❊❝❢❡ô ✽✴❱●✿✦❚❆■☞✳❄■❙✲❉❘✑❅☎▼✡✲✴❐❆✭✱✯✰✭✱✿➻❮➼✳s✲❇✿✡▼✦✭✱❰●◆✇❈❆✽✴▼✦❣ ✳❄✲✴✯✱✭✰à❏■❫❍Õ❐✇❮✂✿✦❚❆■➚✳s✲❇❰✼✭✱✳➼❅❆✳í✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿♦✻❏✽❇✈✴■❙▼✡✲✴✐✴■❄✽❊❱✛✲✴❈✇❮ ✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿❯✭✱❈❵✿✦❚☎■õ✻❏✲❊❈✥❍✼✭✰❍☎✲❇✿✦■✖✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿➩❘✦■✾✿❯❣s✿✡❚☎✲❇✿➛✭❝❘❙◆ ò ❝ êÙò✍❣✐❤⑧ëð ❝❥❡❛ ë❧❦✱♠♦♥❯æs◆☎❘✦✽ ❴♣❛ ô ê ð ❝❢❡❛✒q ð ❝❢❡ô ò ❝ r Ò➻❭❩Ô ❑✤▼✘✲❊❃❆❚☎✭✰✻❙✲❊✯❄❍✼■❏❃❆✭❝✻❢✿✡✭✱✽❉❈☎❘✂✽❊❱➚✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿✖✻❏✽✴▼✡▼✦■❙✯✰✲❊✿✦✭✰✽✴❈Ö❱➲✽❉▼ ❘✑✭✰✳❄❃❆✯✱■➚❘✑❚✥✲❊❃✺■❙❘✪✲✴▼✦■➅❘✑❚❆✽❇❨◗❈õ✲❊✿➚Ü✱❭❙❴✼◆✝❭✴❭✾Þ➙✷➛✬✮❚☎■❏▼✡■❙✲✴❘✪✈✇✭✱■❙❨✜❣ ❃✥✽❉✭✱❈①✿♦✻❏✽✴▼✡▼✦■❙✯✰✲❊✿✦✭✰✽✴❈✂✭✰❘✪■❙✲❉❘✑✭✰✯✱❮✖✻✾✽❉✳❄❃❆❅✼✿✦■❫❍●◆r✈✇✭✰❘✦❅☎✲✴✯✱✭✰à❙✲❊✿✦✭✰✽✴❈✖✽❊❱ ✿✦❚❆■❂❱➲❅❆❈☎✻✾✿✦✭✰✽✴❈➼❱➲✽✴▼r✻✾✽❉✳♦❃☎✯✱■❏❰✸❘✦❅❆▼✦❱❼✲✴✻❏■❂✐❉■❏✽✴✳❄■❏✿✦▼✡❮✛✭❝❘⑧❐✥■❫❘➻✿r❍✼✽❉❈❆■ ❨◗✭➪✿✡❚➢✲✂Ï✴Ðú✈✇✭✱■❙❨◗✭✱❈☎✐➩✿✡✽①✽❉✯◗✲❊❈☎❍➫✭✰❘♦❈❆✽✴✿♦▼✡■❙✲❉❍✼✭✰✯✱❮õ❍✼✭❝❘✦❃❆✯✰✲❩❮❉■❙❍ ❨◗✭➪✿✡❚õ✿✦❚☎■➚✯✰✭✰✳♦✭✱✿✡✲❊✿✦✭✰✽✴❈☎❘♦✽✴❱✛✲➽Ý✴Ð✶❃✥✲❊❃✺■❏▼❄✳❄■❙❍✼✭✰❅❆✳❞✷➢❁❂✽✴▼✡▼✡■✾❣ ✯✰✲❊✿✦✭✰✽✴❈➑❍❆✲❊✿✡✲➫❘✑❚❆✽❇❨❜❘▲✿✦❚☎✲❊✿➚❈☎■❏✭✰✐✴❚✇❐✥✽❉❅❆▼✡✭✱❈❆✐➫✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✡❘➚✲❊▼✡■ ❚❆✭✱✐❉❚❆✯✰❮✤✻❏✽✴▼✡▼✦■❙✯✰✲❊✿✦■❙❍☞✲✴❈☎❍☞✿✦❚✥✲❇✿♥✻❏✽✴▼✡▼✦■❙✯✰✲❊✿✦✭✰✽✴❈✤❱❼✲❊✯✰✯❝❘❖✽s✽❄❨◗✭✱✿✦❚✪❍✼✭❝❘✑❣ ❃❆✯✰✲❉✻✾■❙✳♦■❙❈①✿✝Ò➲❈☎✽❊✿r❘➻✿✡▼✦✭❝✻❢✿✡✯✱❮✸✳❄✽✴❈☎✽❊✿✦✽❉❈❆✭❝✻❏✲❊✯✰✯✰❮✼Ô❖✲❊❈☎❍✪✭✰❘➏✳❄✽✇❍❆✭➪×☎■❫❍ ❐①❮✂❘✑❅☎▼✑❱❼✲❉✻✾■s❘✑❚✥✲❊❃✺■✴✷➳❋✛✭✱■❙❨◗❃✥✽❉✭✱❈①✿✘❘✸❨◗❚❆✭❝✻✘❚✖✲✴▼✦■❄✐❉■❏✽✼❍✼■❙❘✦✭❝✻❏✲❊✯✰✯✰❮ ❨❂■❙✯✱✯❖❘✦■❏❃☎✲✴▼✡✲❊✿✦■❫❍➳✲❊▼✡■☞❅❆❈☎✻❏✽✴▼✡▼✦■❙✯✰✲❊✿✦■❙❍❖✷ t ✉ ✝✜⑥✇✈î➷✺①②✝❜⑦✉➱ ➴✍✌ ✡ ⑦r➷➼③✎☛✞✝✺✑ ③✕✔✥✖ ④❫⑤❑⑥✠✙✜❲❃⑦❊⑧✒✣✯✹⑨✴❳✬✯✙✵✳ ✬➽■Õ✻❏✲✴❈➑❱➲✽❉▼✦✳s✲✴✯✱✯✰❮Ù■✾❰✼❃❆▼✡■❙❘✡❘➅✿✦❚❆■✖❋✤ä❲äû✲✴❘➅✿✦❚☎■✖❱➲✽✴✯✰✯✱✽❇❨◗✭✰❈❆✐ ✭✱❈①✿✦■❙✐✴■❙▼✸❃❆▼✦✽❉✐✴▼✘✲❊✳❄✳❄✭✱❈☎✐✂Ò❼q➻ä❂Ô✤❃❆▼✡✽✴❐❆✯✰■❏✳❞◆➏❨◗❚❆■❏▼✡■❄❨❂■❄❅☎❘✦■sq➻ä

(6)

■❫Û❉❅☎✭✱✈❇✲❊✯✰■❏❈①✿✜✿✦✽♦✿✡❚❆■✸❅❆❈❆✭❝✻✾✽①❘➻✿✛✹☎❁✝ä⑧✷ þ❯✭✰❈❆✭✰✳❄✭✱à❙■✄✂✮ê ☎ ✆ ô✞✝ ❤ ô ◆☎❘✦❅❆❐✼❒➻■❫✻❢✿✜✿✦✽ Ò➙Ý✴Ô ☎ ✆ ô✞✝ ò óô ❤ ô✠✟ ❭☛✡✌☞⑧ê➦❭❫❩ r✏r✏r ❩✡÷❯❩ Ò➟Ï❉Ô ❤ ô ♥✎✍❩❴❳❩❏❭✑✏✒✡✔✓♦ê✎❭✐❩ r❁r✏r ❩✦ø r Ò①Ô t❲Û①❅☎✲❊✿✦✭✰✽✴❈✮Ý➩✭❝❘s✿✡❚❆■❯✽✴❐❆❒➻■❙✻❢✿✡✭✱✈❉■❞❱➲❅❆❈☎✻✾✿✦✭✰✽✴❈❖✷❵t❲Û①❅☎✲❇✿✡✭✱✽❉❈➢Ï ■❙❈☎❘✑❅☎▼✦■❫❘❲■❫✲✴✻✘❚➳▼✡✽❇❨✮✽❊❱⑧ð Ò❼■❙✲✴✻✘❚➚❘✑❅☎▼✑❱❼✲❉✻✾■✤❃✥✽❉✭✱❈①✿✘Ô❂✭❝❘✜✻✾✽❇✈✴■❙▼✦■❫❍ ❐✇❮s✲❇✿✝✯✱■❫✲✴❘✑✿❂✽✴❈☎■✩✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿❫✷✉t❲Û①❅☎✲❇✿✡✭✱✽❉❈✁➼✲✴❃❆❃❆✯✰✭✱■❫❘❂✲✴❈➳✭✰❈❉✿✡■✾❣ ✐❉■❏▼❜✻✾✽❉❈☎❘✑✿✦▼✘✲❊✭✰❈❉✿◗✽❉❈➅✿✡❚❆■✟✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿❜✈❇✲✴▼✦✭❝✲❊❐❆✯✰■✢❤ ô ✷✖✕úê Ü❤ ô Þ ❘✦❃☎✲❊❈✥❘✉✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿◗❘✑❃✥✲✴✻✾■✤æ➠✲❉❘❲❘✡✲❊✳❄❃❆✯✰■❙❍▲❐✇❮♦✿✦❚☎■✛✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿ ✐❉■❏❈❆■❙▼✡✲❊✿✦✭✰✽✴❈✟❘✑✿✡✲❊✐❉■✴✷♥✃✜❚❆■✜✽✴❃✼✿✡✭✱✳s✲❊✯✇✈✇✭✰■❏❨õ❃❆✯❝✲❊❈✗✕ ✭✰❘♥✿✡❚❆■❂✳❄✭✰❈✼❣ ✭✰✳s✲❊✯❖❘✦■✾✿❜✽❊❱♥✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✡❘◗✻❏✽❇✈✴■❙▼✦✭✰❈❆✐❄❘✑❅❆▼✦❱❼✲✴✻❏■✸❘✑❃☎✲❉✻✾■✸å✜✷ ✃✜❨❂✽s✳❄■❫✲✴❘✦❅❆▼✦■❫❘✜✽❊❱✉✲s❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈ ❂❘◗✳❄■❏▼✡✭✱✿✛✲❊▼✡■✟✻✾✽①❘➻✿✪Ò❼❨◗❚❆✭✰✻✘❚ ✭❝❘❖✿✡❚❆■✝✈❩✲✴✯✱❅☎■❲✽❊❱✼✿✡❚❆■✝✽✴❐✼❒➻■❫✻❢✿✦✭✰✈✴■❲❱➲❅❆❈☎✻✾✿✦✭✰✽✴❈✪✭✰❈✪t❂Û❉❅✥✲❇✿✦✭✰✽✴❈♦Ý❜✲❊❈✥❍ ✭✰❈➩✽❉❅❆▼✤✻❙✲✴❘✦■✪■❫Û❉❅✥✲❊✯❝❘✩✈✇✭✰■❏❨➦❃❆✯❝✲❊❈➽✯✱■❙❈❆✐❊✿✡❚✥Ô✛✲❊❈☎❍➩✳♦■❫✲✴❘✦❅❆▼✘✲❊❐❆✭✰✯➪❣ ✭✱✿➻❮✴✷➳✃✜❚☎■s✳♦■❫✲✴❘✦❅❆▼✘✲❊❐❆✭✰✯✱✭✱✿➻❮❯✽❊❱◗✲❞✈✇✭✱■❙❨ ❃☎✯✰✲✴❈✂è ✭❝❘☞✿✦❚❆■➳▼✡✲❊✿✦✭✰✽ ✽✴❱❜✿✦❚❆■➼❒➻✽✴✭✰❈①✿❄✻❏✽❇✈✴■❙▼✡✲✴✐✴■s✽❊❱✛✭➪✿✘❘❄✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿✡❘✪✿✦✽➽✿✦❚❆■❯❘✦✭✱à❙■➅✽✴❱ ❍✼✭❝❘✡✻✾▼✡■✾✿✦✭✰à❏■❫❍➅❘✦❅❆▼✦❱❼✲✴✻❏■✤❘✦❃☎✲✴✻❏■✟å❿Üï❩Þ➣✷✉✃✜❚☎✲❇✿❜✭❝❘❙◆ ò✖Ò❼è➩Ô❲ê ë ó✙✘ è ✚ ð ❝❢❡ó✑ë ÷ r Ò❘✂✴Ô ③✕✔❘✓ ✫ ⑤❱⑤ ✶✕✙✤✣✥⑧❄✴ ✬✥✙✤✳ ✶✸✛✒✹★✻✼✮ ✃✜❚❆■➼❘✑✭✰à❏■✟✽✴❱r✈①✭✰■❏❨Ö❃❆✯❝✲❊❈➛❘✦✽✴✯✰❅✼✿✡✭✱✽❉❈➛❘✑❃☎✲❉✻✾■✸✭❝❘✤Ý ø ◆✥❨◗❚❆■❏▼✡■✟ø➚✭✰❘ ✿✡❚❆■✟❈✇❅❆✳✪❐✺■❏▼✛✽❊❱✉✻✾✽❉✯✱❅☎✳♦❈✥❘✟Ò➲✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿✘❘✡Ô❜✭✱❈➛ðâ✷◗✹✼✭✱✳❄✭✰✯✰✲✴▼✦✯✰❮✴◆ ✿✡❚❆■▲❈✇❅❆✳✪❐✺■❏▼✪✽❊❱◗✈✇✭✱■❙❨î❃☎✯✰✲✴❈☎❘✸✽❊❱◗✯✰■❏❈❆✐✴✿✦❚ÕéØ✭❝❘ ø✜✛❂é ◆⑧❨◗❚❆✭❝✻✘❚ ❨✝■✸✻❏✲❊❈❞✲❊❃☎❃❆▼✦✽❩❰✼✭✰✳s✲❇✿✦■✤❐✇❮➅✹①✿✡■❏▼✡✯✱✭✰❈❆✐❃❂❘◗♠❆✽❉▼✦✳➼❅❆✯❝✲ ø ✛ é✣✢ ❭ ✤ Ý✦✥ ø ø★✧✪✩ ✫ Ò➲ø✄✬➽é✓Ô ø✮✭✺é✯✧ ✩ ✫ é é✯✧ ✩ ✫ r Ò➟❛❉Ô ✹✇✽✴✳❄■✤Û❉❅✥✲❊❈①✿✦✭✱✿✡✲❊✿✦✭✰✈✴■❜■❏❰✼✲✴✳❄❃❆✯✱■❫❘❲❨◗✭✰✯✰✯✥❃❆❅❆✿❂✿✡❚❆■❙❘✦■✩❈✇❅❆✳➼❐✥■❙▼✡❘ ✭✰❈➢✻❏✽✴❈①✿✦■❏❰✇✿❙✷Ø❁❂✽❉❈☎❘✦✭✰❍✼■❙▼♦✲➽✿➻❮✇❃❆✭❝✻❏✲✴✯✜✻❙✲✴❘✦■➅❨◗❚☎■❏▼✡■➅ø✮ê ①❴✴❴❆✷ ✃✜❚❆■❙❈❖◆✇✿✦❚☎■✟❘✑✭✰à❏■✸✽✴❱➏✈✇✭✱■❙❨❿❃☎✯✰✲✴❈➚❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈❞❘✦❃☎✲✴✻❏■✤✭❝❘ Ý ø ê➑Ý✱✰✳✲✞✲ ✢ ❭❙❴ ✂ ✲ r Ò☎❊Ô ✃✜❚❆✭❝❘❜✭❝❘✛✲s▼✘✲❇✿✡❚❆■❏▼✛✯✰✲✴▼✦✐❉■✸❈✇❅❆✳✪❐✺■❏▼❫◆✥■❙✈✴■❙❈❞❱➲✽✴▼❜✿✡❚❆■✪✳❄✽✼❍✼■❫❘➻✿ ❈✇❅❆✳➼❐✥■❙▼✛✽✴❱❲✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✡❘❙✷✸P❜✽❇❨✸◆●✻✾✽❉❈☎❘✦✭✰❍✼■❙▼✛✲➚❘✑✯✰✭❝✻✾■✟✿✡❚❆▼✡✽✴❅❆✐❉❚ ❋✤ä❲ä❯❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈✟❘✦❃☎✲✴✻❏■✉✯✰✭✱✳❄✭✱✿✦■❙❍✸✿✦✽✩✈✇✭✰■❏❨✖❃❆✯❝✲❊❈☎❘✓✽❊❱✼✯✰■❏❈❆✐✴✿✦❚✟é➛ê ❭❫❴❆✷⑧♠❆▼✡✽✴✳✶t❂Û①❅☎✲❇✿✡✭✱✽❉❈➅❛❆◆❆✿✦❚❆■☞❈✇❅❆✳✪❐✺■❏▼✩✭✰❘◗✲✴❃❆❃❆▼✡✽❩❰✇✭✰✳s✲❇✿✡■❏✯✰❮ ✴✶✵✸✷✺✹✻✷✁✼✾✽✿✷❁❀✱❂✺❃❄✷☛❅✾❆✻✷✺❇✠❅✾❈❊❉❋●❂❍✹✙■✪❃❏❉❑✷▲✽◆▼✦❖✁❉❑❈❄❋◗P❘❖✶❃❄✷✺P❘✷✶❈❄❋✸❙✺❖✁❆❚❋❚❆✌❂❍❈✾❇ ✹✻✷✺P❘❖✞❃❄✷✺❇❯❋✻❀❊✷✒✹❚✷✺❱✁❉❑❆❚❋❚✹●❂✳❋❚❉❑❖✁❈✠❙✺❖✁❈✾❆❚❋❚✹●❂❍❉❑❈❄❋✌❂❍❆✸❉❋✸❉❑❆✸❲❳✹✻✷✺❨❩❅✾✷✺❈❩❋❚❬■✪✹✻✷✺❈✾❇✾✷✺✹✻✷✺❇ P❘❖❏❖❍❋❭❇✾❅✾✷✔❋❚❖◗❉❑❈❊❀✾✷✺✹✻✷✺❈❩❋❪❃❏❉❑✷▲✽✗▼✾❬❫❂❍❈☛✹❚✷✶❇❊❅✾❈✾❇✱❂❍❈✾❙▲■☛❲❳❖✁✹★❙✺❖✁P❘▼✾❬❑✷▲❴❁❖✁❵❊❛✙✷✺❙✺❋❚❆✞❜ ❝ ❖✁✹✸❂✖❙✺❖✁P❘▼✾❬❑✷▲❋✻✷❁❞❢❡❣❲❤❖✁✹❚P✖❅✾❬❫❂✳❋❚❉❑❖✁❈❭✼❏✹✻✷▲❲❳✷✶✹✜❋❚❖❥✐❦✳❧❢❜ ✰✞✲✳✲ ✛ ✲ ✢ ❭❙❴ ✶♠ r Ò✙♥①Ô ✃✜❚❆■❿❈✇❅❆✳✪❐✺■❏▼➢✽❊❱➛❃✺✽❊✿✡■❏❈①✿✦✭❝✲❊✯❞❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈☎❘➫✭✰❘➢❘✑✿✦✭✰✯✱✯➚❚✇❅❆✐✴■❉✷ ❑✤✭✱✈❉■❏❈✍✲❵❃❆▼✦✽✼✻❏■❙❘✡❘✑✽❉▼✖✻❙✲❊❃☎✲✴❐❆✯✰■➫❱➲✽❉▼Õ■✾❰❆✲❊✳❄✭✰❈❆✭✰❈❆✐✎✲Ö❃✥✽✴✿✦■❏❈❆❣ ✿✦✭❝✲❊✯●❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈➳■❙✈✴■❙▼✦❮❄❈☎✲✴❈❆✽❉❘✦■❙✻❏✽✴❈☎❍●◆①✭✱✿✝❨✝✽✴❅❆✯❝❍s✿✘✲❊ß❉■✤✲✴❃❆❃❆▼✡✽❩❰✇✭✱❣ ✳❄✲❊✿✦■❙✯✱❮♦♥①Ý❫✂✪❮✴■❫✲❊▼✘❘❲✿✡✽❄■✾❰✼❚☎✲❊❅✥❘➻✿✡✭✱✈❉■❏✯✰❮▲❘✑■❫✲❊▼✘✻✘❚✟❒➻❅☎❘✑✿◗✿✦❚❆✭❝❘◗❃✺✽✴▼✦❣ ✿✦✭✰✽✴❈❯✽❊❱✉❋✤ä❲äÙ❘✦✽✴✯✰❅✼✿✡✭✱✽❉❈➛❘✑❃☎✲❉✻✾■q♣✜♠☎✽✴▼✦✿✦❅❆❈✥✲❇✿✦■❙✯✱❮❉◆✥✭✱✿✛✭❝❘✩✲➳✻✘❚☎✲❊▼✦❣ ✲✴✻❢✿✡■❏▼✡✭✰❘✑✿✦✭❝✻✝✽❊❱✺✿✦❚❆■◗❋✤ä❲ä➽✿✦❚✥✲❇✿❙◆❉❨◗❚❆✭✰✯✱■✜✿✡❚❆■❜❘✑■❫✲❊▼✘✻✘❚➼❘✦❃☎✲✴✻❏■◗✳s✲❩❮ ❐✥■✸✯❝✲❊▼✡✐✴■❉◆✇❘✦✽✴✯✰❅✼✿✡✭✱✽❉❈☎❘◗✲❊▼✡■✤✿➻❮①❃☎✭✰✻❙✲❊✯✰✯✱❮➳❘✦✳s✲❊✯✰✯➟✷ ♠☎✽✴▼❯✲❊❈✇❮✮✐✴✭✰✈✴■❙❈➑✈✇✭✰■❏❨ ❃☎✯✰✲✴❈❿✯✰■❏❈❆✐✴✿✦❚❵ér◆✛❋✤ä❲äú❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈ ❘✑❃☎✲❉✻✾■➅❚☎✲✴❘♦✲➩✯❝✲❊▼✡✐✴■➅❈✇❅❆✳✪❐✺■❏▼♦✽❊❱✩✯✰✽✼✻❏✲✴✯✝✳s✲❊❰✇✭✰✳s✲❆✷✖✬✂■➚✻❙✲❊❈ ✈①✭❝❘✦❅☎✲❊✯✰✭✱à❙■➢✿✦❚❆✭❝❘õ✲✴❘Õ✲✴❈Ñ❈✼❣➣❍❆✭✱✳❄■❏❈✥❘✑✭✰✽✴❈☎✲✴✯▲❘✑■❫✲❵❅❆▼✡✻✘❚☎✭✱❈î❨◗✭➪✿✡❚ ❘✑❃❆✭✰❈❆■❫❘▲✭✰❈Ù✿✦❚☎■➩▼✘✲❊❈❆✐❉■õÜ❴☎◆✱❭❏Þ➙✷ ✿✡♠❆■❫✲✴❘✦✭✱❐❆✯✰■❁❀➨❘✑✽❉✯✱❅✼✿✡✭✱✽❉❈☎❘▲❚✥✲❩✈✴■ ò✂Ò➟è➩Ô❯ê ❭ r ❴❆◆✝❨◗❚❆■❏▼✡■❙✲❉❘❄✿✦❚☎■➛✳❄■❙✲✴❘✦❅❆▼✘✲❊❐❆✭✰✯✰✭➪✿➻❮õ✽✴❱✎✿✑✭✰❈✼❱➲■❙✲❉❘✑✭✱❣ ❐❆✯✱■❧❀✮❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈☎❘➛❱❼✲❊✯✰✯✰❘➛❘✦❚❆✽❉▼✑✿➛✽✴❱♦✿✡❚☎✲❇✿➽✽✴❐✼❒➻■❫✻❢✿✦✭✰✈✴■❉✷✧❪✩❐✥✽❇✈❉■ ❘✑✽❉✳♦■✩✳♦✭✰❈❆✭✰✳✪❅❆✳✍✈✇✭✰■❏❨✮❃❆✯❝✲❊❈➅✯✱■❙❈❆✐❊✿✡❚❖◆❉✿✦❚❆■❙▼✦■✛❨◗✭✱✯✰✯❸■✾❰✼✭✰❘✑✿❂✳➼❅❆✯✱❣ ✿✦✭✰❃❆✯✱■➼❱➲■❙✲❉❘✑✭✰❐❆✯✰■✪❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈☎❘✛✽❊❱❲✲✴❈✇❮➅✐❉✭✱✈❉■❏❈➛✈✇✭✰■❏❨✎❃❆✯❝✲❊❈➛✯✰■❏❈☎✐❊✿✦❚✓✷ ✃✜❚❆■❂❍✼■❙❈☎❘✦✭➪✿➻❮☞✽❊❱✼❱➲■❫✲✴❘✦✭✱❐☎✯✱■✝❘✑✽❉✯✱❅✼✿✡✭✱✽❉❈☎❘✓❍❆■❙✻✾▼✡■❙✲❉❘✑■❫❘✓✲❉❘❖✈✇✭✱■❙❨Õ❃❆✯❝✲❊❈ ✯✱■❙❈❆✐❊✿✡❚❞✲✴❃❆❃❆▼✡✽❉✲❉✻✘❚❆■❙❘❲✿✦❚❆■✸✽❉❃✼✿✦✭✰✳✪❅☎✳➚✷ ♠☎▼✦✽❉✳ ✿✡❚❆■✩❐☎✭✱❈❆✽❉✳❄✭✰✲✴✯☎✿✡❚❆■❏✽❉▼✦■❙✳➚◆①❨✝■✩ß✇❈❆✽❇❨Ø❋✛ä❂äõ❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈ ❘✑❃☎✲❉✻✾■✝❚☎✲✴❘♥✿✡❚❆■✝✿✦✽❉❃✥✽❉✯✱✽❉✐✴❮✸✽❊❱❸✲✤❚①❮✇❃✺■❏▼✘✻✾❅❆❐✺■✴✷✌r❜❈❆❱➲✽✴▼✦✿✦❅❆❈☎✲❊✿✦■❙✯✱❮❉◆ ❨❂■õ❍✼✽✮❈☎✽❊✿➛ß✇❈❆✽❇❨④✿✦❚❆■Õ✿✡✽✴❃✺✽✴✯✰✽✴✐❉❮Ù✽❊❱♦❱➲■❙✲❉❘✑✭✰❐❆✯✰■➨❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈☎❘❙✷ ✃✜❚☎✲❇✿✝✭✰❘❙◆①✿✦❚❆■❙▼✦■✤✭✰❘❂❈❆✽♦ß✇❈❆✽❇❨◗❈➳✲❊✯✰✐✴✽❉▼✦✭✱✿✦❚☎✳ ❃✺■❏▼✡✳❄✭➪✿✦✿✦✭✰❈❆✐➼❅✥❘❲✿✡✽ ✳♦✽❇✈❉■✤❍❆✭✱▼✡■❙✻✾✿✦✯✰❮❄❱➲▼✦✽❉✳â✽✴❈❆■✛❱➲■❙✲❉❘✑✭✰❐❆✯✰■✸❘✑✽❉✯✱❅✼✿✡✭✱✽❉❈▲✿✡✽♦✭✱✿✡❘✜❈☎■❙✲❊▼✡■❙❘✑✿ ❱➲■❙✲✴❘✦✭✰❐❆✯✱■☞❈❆■❙✭✱✐❉❚✇❐✥✽❉❅❆▼❙✷ ③✕✔③ ✶✒❚❱⑤ ✶✸✙✵✣✥⑧✠✴❳✬✥✙✤✳ts ✮✱✴✈✉❄✙❘✇②① tr❰✼❃❆▼✡■❙❘✡❘✑✭✰❈❆✐☞✿✦❚☎■✩❋✛ä❂äÕ✲✴❘❂✲❊❈▲✭✰❈①✿✦■❏✐❉■❏▼✉❃☎▼✦✽❉✐✴▼✘✲❊✳❄✳❄✭✱❈❆✐✸❃☎▼✦✽❉❐✼❣ ✯✱■❙✳❦❃❆▼✦✽❇✈✇✭❝❍✼■❙❘✤✲➳✻❏✽✴✳❄❃☎✲❉✻❢✿☞✳❄✲❊✿✦❚❆■❙✳s✲❇✿✦✭❝✻❏✲✴✯♥❱➲✽✴▼✡✳✪❅❆✯❝✲❇✿✡✭✱✽❉❈➛✽❊❱ ✿✦❚❆■✤❃❆▼✡✽✴❐❆✯✰■❏✳❞◆①✽✴❃✺■❏❈❆✭✰❈❆✐♦❅❆❃▲✿✡❚❆■✛▼✡✭❝✻✘❚▲▼✦■❫❘✑■❫✲❊▼✘✻✘❚❄❐☎✲✴❘✦■✩✭✰❈➅❍✼✭❝❘✑❣ ✻✾▼✡■✾✿✦■❯✻❏✽✴✳✪❐☎✭✱❈☎✲❊✿✦✽❉▼✦✭❝✲❊✯✝✽✴❃✼✿✡✭✱✳❄✭✰à❙✲❊✿✦✭✰✽✴❈❖◆✝✭✱❈➢❃☎✲✴▼✑✿✡✭✰✻❏❅❆✯✰✲✴▼♦✿✦■❙✻✘❚❆❣ ❈❆✭✰Û①❅❆■❫❘◗❍✼■❏✈❉■❏✯✰✽✴❃✺■❙❍➳❱➲✽✴▼✜✿✡❚❆■✪✹☎❁✝ä⑧✷✼✬✂■✸❚☎✲❩✈✴■☞❘✑■❙■❏❈➅❱➲▼✦✽❉✳✍✿✦❚☎■ ❃❆▼✦■❙✈✇✭✱✽❉❅☎❘❜❘✦■❙✻❢✿✡✭✱✽❉❈❞✿✦❚☎✲❊✿❜✿✦❚☎■✪❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈➛❘✦❃☎✲✴✻❏■✸✭✰❘✩❚①❅☎✐✴■✴◆✥■❏✈❉■❏❈ ❱➲✽✴▼◗✳❄✽✼❍✼■❙❘✑✿◗❃❆▼✦✽❉❐❆✯✰■❏✳s❘✜✲❊❈☎❍➅❨❂■☞ß✇❈❆✽❇❨➑✿✦❚☎✲❊✿✝✿✡❚❆■✟❘✦■❙✲❊▼✘✻✘❚s❱➲✽❉▼ ✲❊❈Õ✽✴❃❆✿✦✭✰✳❄✲✴✯❂❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈Õ✭❝❘✪P✛är❣✑❁❂✽✴✳❄❃❆✯✰■✾✿✡■✴✷❯✬✮❚❆✭✰✯✱■➅✐✴❅☎✲✴▼✡✲✴❈✼❣ ✿✦■❏■❙✭✱❈☎✐➼✽❉❃✼✿✦✭✰✳s✲❊✯❸▼✦■❫❘✑❅☎✯➪✿✘❘❏◆①■✾❰❆✲✴✻✾✿✝✳❄■❏✿✦❚❆✽✼❍❆❘✜❘✦❅☎✻✘❚➅✲❉❘❲❐❆▼✘✲❊❈✥✻✘❚✼❣ ✲❊❈☎❍✇❣➣❐✺✽✴❅❆❈☎❍❯✲✴❈☎❍❯✻✾❅❆✿✑✿✦✭✰❈❆✐✴❣➙❃❆✯❝✲❊❈☎■✸✿✦■❫✻✘❚❆❈❆✭❝Û❉❅☎■❙❘✩✻❙✲❊❈❯❐✺■✪✻✾✽❉✳♦❣ ❃❆❅✼✿✡✲❊✿✦✭✰✽✴❈☎✲✴✯✱✯✰❮➩❃☎▼✦✽❉❚❆✭✱❐☎✭➪✿✡✭✱✈❉■❄❱➲✽✴▼✪■❙✈✴■❙❈✂✳❄✽✼❍✼■❫❘➻✿✡✯✱❮✖❘✑✭✰à❏■❫❍✂q➻ä❲❘❙✷ ♠❆✽✴▼❯✳❄✽①❘➻✿❯✳❄■❙❍✼✭✰❅❆✳♦❣➙✿✦✽❊❣➣✯❝✲❊▼✡✐✴■✂q➻ä❲❘❙◆✛✿✡❚❆✭❝❘❯✯✱■❫✲❩✈✴■❫❘➚✲✮✻✘❚☎✽✴✭❝✻✾■ ✽❊❱✟✲❊❃❆❃☎▼✦✽❩❰✼✭✰✳❄✲❊✿✦■❯✲❊❈✥❍Ø❚❆■❏❅❆▼✡✭❝❘➻✿✡✭✰✻➛✲✴✯✱✐❉✽✴▼✡✭➪✿✡❚❆✳s❘❯Ü♥❊Þ➙◆◗✭✰❈☎✻❏✯✱❅☎❍✼❣ ✭✱❈❆✐☞✐❉▼✦■❙■❙❍✼❮✟❘✦■❙✲✴▼✡✻✘❚➚Ü❛❩Þ➣◆❉❘✦✭✰✳✪❅❆✯❝✲❇✿✡■❙❍♦✲❊❈❆❈❆■❫✲❊✯✰✭✱❈☎✐♦Ü✱❭❙Ï❩Þ➣◆✴✐❉■❏❈❆■❏✿✦✭❝✻ ✲❊✯✰✐✴✽✴▼✡✭✱✿✦❚❆✳s❘sÜÝ❫Þ➙◆❁③➏✲❊✐✴▼✘✲❊❈☎✐✴✭❝✲❊❈➛▼✡■❏✯❝✲❇❰❆✲❇✿✡✭✱✽❉❈➢Ü✱❭✴◆⑨✂❩Þ✝✲✴❈☎❍✂❈❆■❏❅❆❣ ▼✡✲✴✯✉❈❆■✾✿➻❨✝✽✴▼✡ß➨Ü✆☎❫Þ✝✳♦■❏✿✦❚❆✽✼❍❆❘❙✷❯✵◗■❙✻❏■❏❈①✿➼❘✦❅❆▼✡✈✴■❏❮✼❘☞✽✴❱❜✹✥❁✝ä➦❘✑✽✴❣ ✯✱❅✼✿✡✭✱✽❉❈➢✿✦■❙✻✘❚☎❈❆✭✰Û①❅❆■❫❘❯ÜÏ☎◆✜❇Þ✩❚✥✲❩✈✴■❯❘✑❚☎✽❇❨◗❈õ✿✦❚✥✲❇✿➳❘✦❅❆❐☎❘✑✿✡✲❊❈①✿✡✭✰✲✴✯ ❃❆▼✦✽❉✐✴▼✡■❙❘✡❘✩❚✥✲✴❘✤❐✥■❙■❏❈✖✳s✲✴❍✼■❄❨◗✭✱✿✦❚④③✓✲✴✐✴▼✘✲❊❈❆✐❉✭✰✲✴❈❞✿✦■❫✻✘❚❆❈❆✭❝Û❉❅☎■❙❘❙✷ þ❯✽❉❘✑✿▲❃❆❅❆❐❆✯✰✭❝❘✑❚❆■❫❍Ø❃✥■❙▼✑❱➲✽❉▼✦✳s✲✴❈☎✻✾■❞▼✡■❙❘✦❅❆✯➪✿✘❘❯Ü➪❭❉◆ ☎❫Þ✤❍✼■❙✲✴✯❜❨◗✭➪✿✡❚ ▼✡✲✴❈☎❍✼✽✴✳❞◆❊✯✰✽❇❨Ø❍✼■❏❈☎❘✦✭✱✿➻❮➼❍❆✲❊✿✡✲☞❘✑■❏✿✡❘❙✷r✃✜❚❆■◗❋✛ä❂ä➩❱❼✲✴✯✱✯❝❘r✭✰❈①✿✦✽☞✿✦❚☎■ ✻❏✲❇✿✡■❏✐❉✽✴▼✡❮➫✽✴❱➼✲õ✳❄■❙❍❆✭✱❅❆✳♦❣➙✿✦✽✴❣➙✯❝✲❊▼✡✐✴■➛q➻ä✶❨◗✭✱✿✦❚➑❈☎✽✴❈✼❣➣▼✡✲✴❈☎❍✼✽❉✳ ❍❆✲❇✿✘✲♦✲✴❈☎❍➅✳♦✽✼❍✼■❙▼✡✲❊✿✦■✸❍✼■❙❈☎❘✑✭✱✿➻❮➽Ü✱❭❙❴❇Þ➙✷ ✬✂■➛❚☎✲❩✈❉■❞❱➲✽✴❅❆❈☎❍➢✿✡❚☎✲❇✿➚✐✴▼✡■❏■❫❍✼❮➫❘✦■❙✲✴▼✡✻✘❚➢❨❂✽❉▼✦ß✼❘s❨✝■❏✯✰✯◗❱➲✽❉▼ ✳❄✲✴❈✇❮✂✽❉❐✼❒➻■❙✻✾✿♦▼✡■❙✻❏✽✴❈☎❘✑✿✦▼✡❅☎✻✾✿✦✭✰✽✴❈õ❃❆▼✡✽✴❐☎✯✱■❙✳❄❘❙✷Õq➣✿❄✭✰❘➼❱❼✲✴❘✑✿❙◆❲■❙❘✑❣ ❘✑■❙❈❉✿✡✭✰✲✴✯✱✯✰❮✸✭✰❈☎❘➻✿✘✲❊❈①✿✡✲✴❈❆■❏✽❉❅☎❘❙◆❩✲✴❈☎❍✸✿✡❚❆■✜✳❄✽✇❍❆■❙❘✑✿⑧❍✼■❙✐✴▼✡■❏■✝✽❊❱☎✈✇✭✰■❏❨

(7)

é✄✂➼êÙé✆☎✞✝ é✆✟❖ê✡✠☞☛ ✌✍✝✏✎ è✒✑✔✓✝✖✕ ê✘✗ ✻✾✽❉❅❆❈①✿✛ê✎❭ ä❲✵❜❳✤Ú✜tõ❋✤ä❲ä✮✹☎❳ ③◆r✩✃✜q✦❳✤P➦✹✼ä●❪✩❁✝t ❨◗❚❆✭✰✯✱■sÒ✑❭❫Ô ✍ èûê✘✙✛✚✢✜ ❣✏✣✤✜✦✥ ❣①é✄✧✏★❩ò❯æ❥☞✩✜✫✪✭✬✯✮❣❉é✉Ò➙÷❏☞✖✰✱✜✤é✄✂①Ô èûê✘★✳✲✴✣▲☞➣ò ☞✖✰✱✜✇Ò❼è❯Ô ✻✾✽✴❅☎❈❉✿✞✵✯✵ ✃◗t❲✵❜þ❯q➻P✛❪r✃✜q✦❳✤P➦❁✝✵◗q➻✃◗t❲✵◗q➻❪ q➣❱✜Ò❼ò✂Ò➟è➩Ô✷✶➫ò✖Ò❼è✸✑✍✓✝✖✕ Ô✑Ô è✒✑✔✓✝✖✕ ê✮è q➣❱✜Ò❼ò✂Ò➟è✒✑✔✓✝✖✕ Ô✉ê➦❭ r ❴❉Ô é ✂ ê✮é ✂ ✬➫❭ q➣❱✜Ò✦Ò➲é ✂ êÙé ✟Ô❏ë✰ë➪Ò✹✙✞★✦✺✺é✆✣✷✶✻✮☞➣ò ☞✼✣✑Ô✦Ô ❐❆▼✦■❫✲❊ß ✏ ✃➏✲✴❐❆✯✱■❄❭❉♣⑧ä❂❘✑■❙❅☎❍✼✽➳❁❂✽✼❍✼■✤❣❂ä✉▼✡✽✴❐✺■✤❋✛ä❲ä✮✹✇✽❉✯✱❅❆✿✦✭✰✽✴❈➛✹✇❃☎✲❉✻✾■ ❃❆✯❝✲❊❈➼✭✱❈☎■ ✝▲✻✾✭✰■❏❈☎✻❏❮✪✭✰✳❄❃❆▼✦✽❇✈❉■❙❘➏▼✦✽❉❐❆❅☎❘✑✿✦❈❆■❫❘✦❘➏✿✡✽☞❘✦❮✼❘➻✿✡■❏✳➦■❙▼✦▼✡✽✴▼✘❘❙◆ ✭✰❈Ù❃☎✲✴▼✑✿✡✭✰✻❏❅❆✯✰✲✴▼➳❃✺✽❉❘✦■➽■❙▼✦▼✡✽✴▼❫✷➠♠☎✽✴▼❞✲❊❃❆❃❆✯✰✭❝✻❏✲❇✿✡✭✱✽❉❈☎❘➅▼✦■❫Û❉❅☎✭✱▼✡✭✱❈☎✐ ✐❉▼✦■❫✲❇✿✦■❙▼▲✈✇✭✱■❙❨ ❃❆✯❝✲❊❈Ù■✞✝▲✻✾✭✰■❏❈☎✻❏❮✴◆✛❘✦❅☎✻✘❚➑✲❉❘➳✭✰❈☎❘✦❃✥■❫✻❢✿✡✭✱✽❉❈❿✲❊❈✥❍ ❘✦✽✴✳❄■õ▼✡■❙✻❏✽✴❈☎❘✑✿✦▼✡❅☎✻❢✿✡✭✱✽❉❈Ö❃❆▼✦✽❉❐❆✯✰■❏✳s❘❏◆✟✿✦❚❆■➢❍✼■❏✈❉■❏✯✰✽✴❃✺■❏▼➩❚✥✲✴❘➩✲ ▼✘✲❊❈❆✐❉■❜✽❊❱✓❘✦✽✴✯✰❅✼✿✡✭✱✽❉❈s✿✦■❫✻✘❚❆❈❆✭❝Û❉❅☎■❙❘✝✲❩✈❩✲✴✭✱✯❝✲❊❐☎✯✱■❉◆❉✭✰❈☎✻✾✯✰❅☎❍✼✭✰❈❆✐➼✿✦❚❆✽①❘✑■ ❈❆✽✴✿✦■❫❍➳✲❊❐✺✽❇✈✴■✛✲❊❈☎❍▲✿✦❚❆■☞❃❆▼✡✽✴❐✺■✩✳❄■✾✿✡❚❆✽✼❍▲✿✡✽➼❐✺■☞❍✼■❙❘✡✻✾▼✡✭✱❐✺■❙❍➳✭✱❈ ✿✡❚❆■☞❈❆■✾❰✇✿✩❘✦■❙✻❢✿✡✭✱✽❉❈❖✷ ✽ ✡ ⑦r➷➼③ ✝✿✾ ✝✜⑥✔❀❞➷➳➬ ❁❄✔✗✖ ⑤❱❲❳✙❃❂✢✮❅❄ ✣✯✦✜✙✜❲♣✬✴✈✉✒⑦ Ú✝✽✴❅☎❈☎❍❆❘Õ✽❉❈✍✈①✭✰■❏❨➭❃❆✯❝✲❊❈✍✯✰■❏❈☎✐❊✿✦❚â✻❙✲❊❈✍❐✺■❿Û①❅❆✭❝✻✘ß✇✯✱❮î✻✾✽✴✳♦❣ ❃❆❅❆✿✦■❙❍❖◆❲✯✰✭✱✳❄✭✱✿✦✭✰❈❆✐✖✿✦❚❆■❞▼✡■❏✐❉✭✱✽❉❈õ✽❊❱✤❋✛ä❲äî❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈Ø❘✑❃✥✲✴✻✾■➅✿✦✽ ❐✺■✪❘✦■❙✲❊▼✘✻✘❚❆■❫❍●✷❂♠☎✽✴▼◗✿✡❚❆■✟❅❆❈❆✭❝✻✾✽①❘➻✿☞✹☎❁✝ä⑧◆☎✐❉▼✦■❙■❙❍✼❮➳❘✦■❙✲✴▼✡✻✘❚❞❃❆▼✡✽❊❣ ✈✇✭❝❍✼■❙❘✟✲❞▼✡■❙✲❉❘✑✽❉❈☎✲❊❐☎✯✱❮❯✿✡✭✱✐❉❚①✿✟❅❆❃❆❃✺■❏▼✪❐✺✽✴❅☎❈☎❍✖é ✂ ✷➚✃✜❚❆■➳▼✡✲❊✿✦✭✰✽ ✠ ☛❇❆ ✌ ✝ ✎ ✽❊❱☞▼✡✽✴❅❆✐❉❚➫✳❄✽✼❍✼■❏✯✛❘✑❅❆▼✦❱❼✲✴✻❏■❯✲❊▼✡■❙✲➽✿✦✽✖✿✡❚❆■❞❱➲▼✦❅✥❘➻✿✡❅❆✳ ✻❏▼✦✽①❘✦❘✑❣➣❘✦■❙✻✾✿✦✭✰✽✴❈☎✲✴✯✉✲❊▼✡■❙✲➛✲❊✿➼✿✡❚❆■❞❘✑■❙❈☎❘✑✽❉▼❁❂❘✟✽❉❃✼✿✦✭✰✳s✲❊✯✜❘✦✻❙✲❊❈❆❈☎✭✱❈❆✐ ▼✘✲❊❈❆✐❉■✜❃❆▼✦✽❇✈✇✭❝❍✼■❙❘❲✲✸✈❇✲❊✯✰✭✰❍●◆❉✭➪❱❖▼✘✲❇✿✡❚❆■❏▼❲✯✱✽✇✽❉❘✦■✴◆❉✯✱✽❇❨✝■❏▼❲❐✥✽❉❅❆❈☎❍❄é✆✟❤✷ ✃✜❚❆■✖❃❆▼✡✽✴❐✺■✖✲✴✯✱✐❉✽✴▼✡✭➪✿✡❚❆✳ÿÒ❼✃♥✲❊❐☎✯✱■Ø❭❫Ô➅❅☎❘✦■❙❘❯✲Ø❘✑✿✦■❙❃✼❣➣❍❆✽❇❨◗❈ ❘✦■❙✲✴▼✡✻✘❚❖◆❆❘✑✿✡✲✴▼✑✿✡✭✱❈☎✐❄❱➲▼✦✽❉✳â✿✦❚☎■➼✻✾✽❉✳❄❃❆❅✼✿✦■❫❍❞❅❆❃❆❃✺■❏▼✛❐✥✽❉❅❆❈☎❍❯✲❊❈✥❍ ✿✡■❏▼✡✳♦✭✰❈☎✲❊✿✦✭✰❈❆✐✂✲❊❱➃✿✦■❙▼▲✲➩❅☎❘✦■❏▼✦❣❤❘✑❃✺■❙✻❏✭➪×☎■❫❍õ❈✇❅❆✳➼❐✥■❙▼s✽❊❱✛❃☎▼✦✽❉❐✥■❫❘❏✷ ❪✝✿✜■❙✲❉✻✘❚➅❘✑✿✦■❏❃✓◆✼❋✛ä❲ä➢❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈➚❘✑❃☎✲❉✻✾■✤✭✰❘✝▼✘✲❊❈☎❍❆✽✴✳❄✯✱❮s❃☎▼✦✽❉❐✥■❫❍ ✲❊✿✸✿✦❚❆■➅✐✴✭✰✈✴■❏❈✖✈✇✭✰■❏❨Ñ❃❆✯❝✲❊❈Õ✯✰■❏❈❆✐✴✿✦❚❖✷❯þ❯✽①❘➻✿✪❃☎▼✦✽❉❐✥■❫❘✸✭✱❈☎✭➪✿✡✭✰✲✴✯✱✯✰❮ ×☎❈✥❍➛✭✰❈✼❱➲■❙✲❉❘✑✭✰❐❆✯✰■♦❘✦✽✴✯✰❅✼✿✦✭✰✽✴❈✥❘✩✭➙✷■❉✷✟✲▲✈✇✭✰■❏❨➦❃❆✯❝✲❊❈✂è ❘✦❅☎✻✘❚❯✿✡❚☎✲❇✿ ò❉❈❲êÙò✖Ò❼è➩Ô ❨◗❚❆✭✱✯✰■sÒ➲✭✰✳❄❃❆▼✦✽❇✈❉■❏✳❄■❏❈①✿❢Ô ✍ ❁✤❖✟❁✖③✓tØ✃❋❊✩✵❜❳ r✛❑●❊✎✃❋❊✛t➢❋✩q➻t✉✬ ä✒③➏❪✩P ♠☎✽✴▼✟Ò⑧■❙✲❉✻✘❚➳ý✺ô✐❩●✓✁♥❞è✚Ô ✍ ❑☞t❲✃❿✃❋❊✩tØP✩t❲q✑❑●❊✩Ú❜❳ r✩✵◗q➻P✤❑➦❋✛q➻t✉✬Ùä✜❳✛q➻P✩✃❜✹ ý✺ô✒❆✚èõÒ➲ý✺ô❩Ô ❁✤❖✸❁✖③➏t➢✃❋❊✛✵❜❳ r✛❑●❊✎✃❋❊✩tØP✛t✉q✑❑●❊✩Ú❜❳ r✛✵✩✹ ♠❆✽❉▼✟Ò⑧■❙✲✴✻✘❚➅ý ó ❩✶☞✜♥❞èõÒ➲ý ô Ô◗Ô ✍ ò❍✕⑧êÙò✖Ò❼è ✬➽ý ô ✵õý óÔ ✵✩t❲ä✒③➏❪✩❁✝t➨q➻♠➫❪✩PÖq➻þ➛ä❂✵❜❳◗❋✤t❲þ➛t❂P✩✃ q➣❱◗Ò➲ò ✕ ✶➢ò ❈ Ô ✍ ò ❈ ê✮ò ✕ è ê✮è ✬✂ý✺ô■✵õý❖ó ✏ ✏ ✏ ✏ ✃♥✲❊❐☎✯✱■✪Ý❆♣⑧ä❂❘✑■❙❅☎❍✼✽➳❁❂✽✼❍✼■✤❣✝❳✛❃✼✿✦✭✰✳❄✭✱à❙■✸❋✩✭✰■❏❨Öä✉✯❝✲❊❈ ò✂Ò➟è➩Ô❑❏ ❭ r ❴❆✷✖✃✜❚❆■➅▼✡■❙❘✦❅❆✯✱✿➼✽✴❱❜■❙✲✴✻✘❚➨❃❆▼✦✽❉❐✥■➅✭✰❘♦✽❉❃✼✿✦✭✰✳❄✭✱à❙■❙❍ Ò➲✭➙✷■❉✷➚✈✇✭✰■❏❨Ñ❃❆✯❝✲❊❈Õ✳❄■❙✲❉❘✑❅☎▼✡✲✴❐❆✭✱✯✰✭✱✿➻❮➩✭❝❘✟✳s✲❇❰✼✭✰✳♦✭✰à❏■❫❍☎Ô☞❐✇❮✖✲❯✯✱✽✴❣ ✻❏✲❊✯➏❚❆✭✰✯✱✯♥✻✾✯✰✭✱✳➼❐❆✭✱❈☎✐▲✽✴❃✺■❏▼✘✲❇✿✡✭✱✽❉❈õÒ❼✃♥✲❊❐❆✯✰■➼Ý✴Ô◗❅☎❘✑✭✰❈❆✐▲ß✇❈❆✽❇❨◗✯✰■❙❍❆✐✴■ ✽❊❱◗✿✦❚☎■▲✿✦✽❉❃✥✽❉✯✱✽❉✐✴❮✂✽❊❱❜✈✇✭✰■❏❨◗❃✺✽✴✭✰❈❉✿❄❘✑❃✥✲✴✻✾■➚æs✷▲❊✩✭✱✯✰✯◗✻✾✯✰✭✱✳➼❐❆✭✰❈❆✐ Û❉❅☎✭✰✻✘ß✇✯✰❮❞×☎❈☎❍❆❘✤✿✡❚❆■❄❈❆■❙✲✴▼✦■❫❘➻✿✤✯✱✽✼✻❏✲✴✯⑧✽✴❃✼✿✡✭✱✳➼❅❆✳ ❐❆❅✼✿✟❈☎✽❊✿☞❈❆■❙✻✾❣ ■❙❘✡❘✦✲✴▼✦✭✰✯✱❮➼✿✦❚☎■✩✐✴✯✰✽✴❐✥✲❊✯☎✽❉❃✼✿✦✭✰✳✪❅☎✳➚✷r✬✮❚☎■❏❈➳✲✟❱➲■❙✲✴❘✦✭✰❐❆✯✱■✤❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈ ✭✰❘➼❱➲✽✴❅☎❈☎❍●◆r✿✘✲❊▼✡✐✴■✾✿♦✈✇✭✱■❙❨✍❃❆✯✰✲✴❈➫❘✦✭✱à❙■➅✭❝❘♦❍✼■❙✻❏▼✦■❙✳♦■❙❈①✿✦■❙❍❖✷õ✃✜❚❆■ ❐✥■❫❘➻✿◗❱➲■❫✲✴❘✦✭✱❐❆✯✰■✸❘✑✽❉✯✱❅❆✿✦✭✰✽✴❈➚✭✰❘◗▼✡■✾✿✘✲❊✭✰❈❆■❙❍❖✷ ✬✂■Õ❚☎✲❩✈✴■✂■✾❰❆✲✴✳♦✭✰❈❆■❫❍➑✿➻❨✝✽➢✈❩✲✴▼✦✭❝✲❊❈①✿✘❘❞✽❊❱✪✿✡❚❆■Õ❃❆▼✡✽✴❐✺■õ✲❊✯✱❣ ✐✴✽✴▼✡✭✱✿✦❚❆✳❞♣➭❅❆❈❆✭✱❱➲✽✴▼✡✳✔▼✡✲✴❈☎❍✼✽❉✳ ❃❆▼✡✽✴❐✺■ ✲✴❈☎❍❦✈✇✭✰■❏❨✜✲❊❐❆✭✰✯✱✭✱✿➻❮①❣ ❨❂■❙✭✱✐❉❚❉✿✡■❙❍✍▼✘✲❊❈✥❍✼✽✴✳ ❃❆▼✡✽✴❐✺■✴✷ r❜❈☎✭➪❱➲✽❉▼✦✳ ❃❆▼✡✽✴❐☎✭✱❈❆✐î❘✑■❙✯✱■❫✻❢✿✘❘ ❈❆■❏❨â✻❙✲❊❈☎❍✼✭❝❍❆✲❊✿✦■▲✈✇✭✰■❏❨✍❃❆✯❝✲❊❈☎❘✪✽❊❱✩✲❯✐❉✭✱✈❉■❏❈Õ✯✰■❏❈❆✐✴✿✦❚õ❐✇❮Õ❘✡✲❊✳♦❣ ❃❆✯✱✭✰❈❆✐➚✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✡❘✤❨◗✭✱✿✦❚✂■❙Û①❅☎✲✴✯♥❃☎▼✦✽❉❐☎✲❊❐❆✭✰✯✰✭➪✿➻❮❉✷✸❋✩✭✰■❏❨✜✲❊❐❆✭✰✯✱✭✱✿➻❮①❣ ❨❂■❙✭✱✐❉❚❉✿✡■❙❍Ö▼✘✲❊❈☎❍❆✽✴✳ ❃☎▼✦✽❉❐❆✭✱❈☎✐✮❱❼✲❩✈✴✽❉❅❆▼✡❘➛✈①✭✰■❏❨◗❃✺✽✴✭✰❈①✿✡❘➩✭✱✳s✲❊✐✴❣ ✭✱❈❆✐❯❍✼✭✝▲✻✾❅❆✯✱✿✑❣➙✿✦✽✴❣➙✈✇✭✰■❏❨Ñ❘✑❅☎▼✑❱❼✲❉✻✾■♦▼✦■❙✐✴✭✰✽✴❈☎❘❙✷s✃✜❚❆■s▼✡✲❊✿✦✭✰✽✴❈☎✲✴✯✱■♦✭❝❘ ✿✦✽✮✲✴❘✡❘✑✭✰✐✴❈➑❚❆✭✱✐❉❚❆■❏▼❞❨✝■❏✭✰✐✴❚①✿✡❘➅✿✡✽➫✿✡❚❆✽❉❘✦■✖✈✇✭✱■❙❨◗❃✥✽❉✭✱❈①✿✡❘❞✻❏✽❇✈✴■❏▼✦❣ ✭✱❈❆✐➩✿✦❚❆■❞✯❝✲❊▼✡✐✴■❫❘➻✿✪❈✇❅❆✳➼❐✥■❙▼❄✽❊❱✩❘✦❃☎✲❊▼✘❘✑■❙✯✱❮✖✳❄■❙✲❉❘✑❅☎▼✦■❫❍õ❘✑❅☎▼✑❱❼✲❉✻✾■ ❃✥✽❉✭✱❈①✿✡❘❙✷✖Ú❂✽✴✿✦❚➫❐✥■❙❈❆■✾×❆✿♦❱➲▼✡✽✴✳í✯✱✽✼✻❙✲❊✯✝✈①✭✰■❏❨✍❃☎✯✰✲✴❈õ✽✴❃✼✿✡✭✱✳❄✭✰à❙✲❊❣ ✿✦✭✰✽✴❈❖✷♥ä✉▼✡■❙❘✦■❏❈①✿✦✯✰❮✴◆❩❈❆■❙✭➪✿✡❚❆■❏▼⑧■✾❰✼❃❆✯✰✽✴✭✱✿✡❘✓✿✦❚☎■✝✻❏❅❆✳✪❅❆✯❝✲❇✿✡✭✱✈❉■❲ß✇❈❆✽❇❨◗✯✱❣ ■❙❍✼✐❉■✤✐①✲❊✭✰❈❆■❙❍➳❱➲▼✡✽✴✳â❃❆▼✡✭✰✽✴▼◗❃❆▼✡✽✴❐❆✭✰❈❆✐✥✷

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