Tài liệu Bayesian Networks ppt

  ✁✄✂✆☎✞✝✠✟☛✡✌☞✎✍✏✝✎✑✓✒✕✔✖☞✎✟✗✑✘✡✙✑✘✚✜✛✢☞✤✣✥✔✤✦✗✡✙☞✠✑✓✧★✔✩☎✫✪✬✝✠✟☛✭✮✦
✯✕✰✲✱✤✳✵✴✷✶✹✸✗✺✼✻✩✸✾✽❀✿❁✰☛❂
❃
✸✗✺❄✻✩✸✲✽❀✿❅✰❇❆✹✿❈✳❉✺✫✽❋❊✩●❍❊☛■❑❏✲▲▼✺✫❊◆✿
❖✰☛✽◗✺
❃❙❘✾❚◆❚◆❯❲❱✙❳
✸✲✱✤✳✵●❨✸✗✴❁❩◆❬❪❭❴❫
❘✲❚✞❚◆❯❇❵
❛❜✸✗✺
❃
❂❪✳❝✺✾✰☛❭
❳
✸✲❞❡❊◆✽❋❏
❖❣❢
❳✐❤
❛
❳❥❤❦❚◆❯✲❤❍❧✞♠
♥♣♦rqts✙✉✗✈❨✉✲✇✵①✘②④③❄✈❨③t⑤✗s✙q❄⑥
⑦✐⑧✩⑨
⑤✗⑩◆q❄③
⑧♣❶
③❄q❄⑥✩⑩◆✉✗❷r✉✗❸✗❹✢❺✏♦
⑨
♦▼✈❨♦▼✉◆⑩
♥♣♦rqts✙✉✗✈❍✉❻✇✵①✘❼④✉✞s❨❽✩✉✞s❍⑤❻①❍♦r✉✞⑩
❾
⑩◆③✹♥♣♦rqts✙✉✗✈❍✉❻✇✵①④❿❲⑤✫❹
②④③
⑧✖➀
✉✞⑩
⑧❡➁

❿
⑦➃➂✗➄☛➅✗➆✗➇
 ✂✁☎✄✝✆✟✞✡✠☞☛✌✆
✍✏✎✑✎✝✒✔✓✡✕✗✖✙✘✚✎✛✓✂✜✣✢✤✓✡✥✚✦✔✖★✧✩✓✡✪☎✢✫✎✝✥✔✢✫✎✝✬✭✎✝✘✯✮✰✓✡✮✭✖★✱✣✘✏✱✡✲✴✳✔✘✚✧✝✎✝✢✭✮✰✓✡✖★✘✏✵✯✘✔✱✡✶✷✪★✎✝✸✔✜✣✎✛✧✩✓✌✪★✪✙✎✹✸✺✓✗✻✼✓✟✽✣✎✝✬✭✖✾✓✡✘✿✘✔✎✝✮❁❀
✶✴✱✣✢✭✵❃❂❃❄✷✦✔✎✷✢✫✎✝✥✔✢✭✎✹✬✭✎✝✘✯✮✤✓✌✮✭✖★✱❅✘✗✖★✬❆✎✟✓✡✬✭✽❇✮✭✱✑✧✝✱✣✘✔✬✭✮✫✢✭✳✔✧✹✮✴✓✡✘✔✸❈✖★✘✯✮✭✎✝✢✫✥✔✢✭✎✝✮✟❉✯✽❅✎✝✮❊✦☞✓✌✬❊✲❋✱✣✢✭✕●✓✌✪✡✥✔✢✭✱✣❍☞✓✡❍✚✖✙✪★✖★✬✭✮✫✖★✧
✬✭✎✝✕■✓✡✘✯✮✭✖★✧✝✬☎✕■✓✡✵✯✖★✘✔✜❏✖★✮✴✬✫✳✔✖★✮✤✓✡❍✚✪✙✎❑✲❋✱❅✢▲✬✭✮✰✓✡✮✫✖✙✬✫✮✭✖★✧✩✓✌✪❃✕●✓✡✘✚✖✙✥✚✳✔✪✾✓✡✮✭✖★✱✡✘▼❂◆✍✏✎❖✬✭✦✔✱✡✶✦✚✱✡✶✶✴✎❖✧✩✓✡✘■✳✔✬✫✎❏✮✭✦✔✎
✢✭✎✝✥✔✢✫✎✝✬✭✎✹✘◗✮✰✓✡✮✫✖✙✱✣✘■✮✭✱✑✪★✎✩✓✌✢✭✘✂✘✔✎✝✶❘✵◗✘✚✱✡✶✷✪✙✎✹✸✔✜❅✎✷❍✯✽❈✧✝✱❅✕✂❍✔✖★✘✔✖★✘✔✜❖✸✔✱❅✕■✓✡✖★✘✑✵✯✘✔✱✡✶✷✪★✎✝✸✔✜✣✎❙✶✷✖★✮✭✦✂✬✫✮✤✓✌✮✭✖★✬✭✮✫✖✙✧✟✓✡✪
✸☞✓✡✮✰✓✔❂
❚ ❯❲❱✑❳❲❨☎❩❭❬❫❪❭❴▲❳❆❵✝❩❛❱
♥ ⑤✗⑩☛❹✢①❍③❄q◗⑥✩⑩◆♦★❜❃❝◆③❄✈✏✇❝✉✞s④❷r③t⑤✗s❍⑩◆♦ ⑩◆❸♣s✙③❄❷r❹❁⑥◆③t⑤
⑨
♦r❷r❹♣✉✞⑩
⑧
⑤❻①❋⑤❃❞✛❡ ⑩♣q❄✉✞⑩☛①❋s❍⑤✲✈❨①
➁
①❋⑥◆③■❢✞⑩◆✉✯❣✘❷r③
⑧
❸✗③✕③t⑩◆q❄✉
⑧
③
⑧
♦ ⑩
③✡❤✩❽✩③ts✙① ✈❍❹✞✈❨①❍③
➀
✈✐❝◆✈✟❝✩⑤✲❷r❷▼❹ q❄✉
➀
③❄✈✮✈❨✉✗❷r③❄❷▼❹ ✇ s✙✉
➀
⑤✗⑩✕③✡❤✩❽✩③ts❦①❅❞✷❡❑⑩ ①❋⑥◆♦r✈ ❽✩⑤✗❽❇③ts
➁

❣ ③ ③✡❤ ⑤
➀
♦ ⑩◆③✏⑤✂❢◆⑩◆✉◗❣ ❷▼③
⑧
❸☛③
s✙③t❽✩s✙③❄✈❨③t⑩✗①❋⑤❻①❍♦r✉✞⑩
➁
qt⑤❻❷▼❷r③
⑧
⑤❦❥♠❧✚♥◗♦✌♣rqs❧✔t✉t❲♦❅✈①✇✷②✔③✹④❅⑤✗①❀⑥✩⑤✲①❡❷r③❄①❍✈✷❝◆✈✥⑥✩⑤
⑨
③❜①❋⑥◆③❏⑥✩③❄✈❍①✎✉✲✇❆⑥❇✉✗①❋⑥❈❣④✉✞s✙❷
⑧
✈❅❞✷⑦✐⑤
➀
③❄❷r❹
➁
①❋⑥◆③✘s✙③t❽✩s✙③❄✈❨③t⑩✗①❋⑤❻①❍♦r✉✞⑩✕⑤✲❷r❷▼✉✯❣✘✈❙❝◆✈❜①❨✉ ❷r③t⑤✗s❍⑩✕⑩◆③✡❣⑧❢◆⑩◆✉✯❣✘❷r③
⑧
❸✗③✑⑥✗❹ q❄✉
➀
⑥◆♦ ⑩◆♦ ⑩◆❸ ③✡❤ ❽❇③ts✙①
⑧
✉
➀
⑤✲♦ ⑩■❢◆⑩◆✉◗❣ ❷▼③
⑧
❸☛③
⑤✗⑩
⑧

✈❍①❀⑤✲①❍♦r✈❍①❍♦rqt⑤✲❷
⑧
⑤❻①❋⑤❃❞
⑦⑩⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢✏♦r✈④⑤✏❸✞s❍⑤☛❽✩⑥◆♦▼qt⑤❻❷✖s✙③t❽✩s✙③❄✈❍③t⑩☛①❋⑤✲①❍♦r✉✞⑩ ✉✲✇❶❝✩⑩◆q❄③ts✙①❀⑤✲♦ ⑩✺❢◆⑩◆✉✯❣✘❷r③
⑧
❸✗③✘①❋⑥✩⑤✲①
➀
✉✗✈❍①✮❽✩③❄✉❸❷
❽◆❷r③■❹ ⑩
⑧
③t⑤✲✈❨❹✬①❍✉✢q❄✉✞⑩◆✈❨①❋s✝❝◆q❄①✹⑤✗⑩
⑧
♦ ⑩✗①❨③ts❍❽✩s✙③❄①❅❞✉❡ ⑩ ⑤
⑧✩⑧
♦r①❍♦r✉✞⑩
➁
①❀⑥◆③ s❦③t❽✩s✙③❄✈❍③t⑩☛①❋⑤✲①❍♦r✉✞⑩ ⑥✩⑤❻✈✐✇✵✉✞s
➀
⑤✲❷❜❽✩s✙✉☞⑥✚❷
⑤✔⑥◆♦r❷r♦r✈❍①❍♦rq♣✈❍③
➀
⑤✗⑩☛①❍♦rq❄✈
➁✮➀
⑤✚❢✗♦ ⑩◆❸ ♦r① ✈✩❝◆♦r①❋⑤✚⑥◆❷▼③ ✇✵✉◆s✹✈❨①❋⑤✲①❍♦r✈❍①❍♦rqt⑤✲❷
➀
⑤☛⑩◆♦ ❽❃❝◆❷ ⑤✲①❨♦▼✉◆⑩❻❺①❼ ✉✯❣✆⑤☛s
⑧❡➁❏❽t➂✗➄❃❽✔❾❖❿
③t⑤✗s✙❷
➁

❽t➂✗➄☛➄✔➀
❞
❾✐⑨
③ts✐①❋⑥◆③✕❷ ⑤❻✈❍①
⑧
③❄qt⑤
⑧
③
➁
①❋⑥◆③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩♣⑩◆③❄①✰❣ ✉◆s✝❢✢⑥✩⑤✲✈✂⑥✩③❄q❄✉
➀
③ ⑤ ❽❇✉✞❽❃❝◆❷ ⑤✗s✹s✙③t❽✩s❦③❄✈❍③t⑩✗①❀⑤✲①❍♦r✉✞⑩
✇❝✉✞s❡③t⑩◆q❄✉
⑧
♦ ⑩◆❸✉❝✩⑩◆q❄③ts✙①❋⑤✲♦ ⑩✕③✡❤✩❽✩③ts✙①❙❢◆⑩◆✉✯❣✘❷r③
⑧
❸✗③✘♦ ⑩✕③✡❤✩❽✩③ts✙①❜✈❨❹✞✈❍①❨③
➀
✈✛❺①❼ ③❄qr❢✲③ts
➀
⑤✗⑩✏③❄①✮⑤❻❷➁❞
➁▼❽t➂✗➂☛➆
⑤
➀
❞❪♥♣✉✞s✙③
s✙③❄q❄③t⑩☛①❍❷r❹
➁
s✙③❄✈❨③t⑤✗s✙q❄⑥◆③ts✙✈✹⑥✩⑤

⑨
③
⑧
③
⑨
③❄❷r✉✞❽✩③
⑧➀
③❄①❋⑥◆✉
⑧
✈✐✇✵✉◆s✘❷r③t⑤✗s❍⑩◆♦ ⑩◆❸
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩♣⑩◆③❄①✰❣ ✉◆s✝❢✗✈ ✇❑s✙✉
➀
⑤ q❄✉
➀
❷
⑥◆♦ ⑩✩⑤✲①❍♦r✉✞⑩❈✉✲✇❜③✡❤ ❽❇③ts✙①✂❢✞⑩◆✉✯❣✘❷r③
⑧
❸✗③✕⑤✗⑩
⑧✬⑧
⑤✲①❀⑤❃❞
❶
⑥◆③ ①❍③❄q◗⑥✩⑩◆♦★❜❃❝◆③❄✈✏①❋⑥✩⑤✲① ⑥✩⑤
⑨
③❭⑥❇③❄③t⑩
⑧
③
⑨
③❄❷r✉✞❽✩③
⑧

⑤✗s✙③✕⑩◆③✡❣
⑤✗⑩
⑧
✈❨①❍♦r❷▼❷ ③
⑨
✉✗❷
⑨
♦ ⑩◆❸
➁
⑥❃❝◆①✏①❀⑥◆③❄❹❅⑥✩⑤
⑨
③✉⑥❇③❄③t⑩ ✈❋⑥◆✉✯❣ ⑩❈①❍✉➂⑥❇③ s❦③
➀
⑤✗s✝❢✫⑤✔⑥◆❷r❹❁③✟➃❡③❄q❄①❍♦
⑨
③ ♦ ⑩❅✈❍✉
➀
③
⑧
✉
➀
⑤✲♦ ⑩◆✈
❺❝❼④✉◆✉✞❽❇③ts✘⑤✗⑩
⑧
❼ ③ts✙✈✩❢✲✉
⑨
♦▼①❨✈
❽t➂✗➂✗➇➄❾✞⑦
❷r♦ ✇✵③ts✙♦r✈✹⑤✗⑩
⑧

❼✆✉✞✉✞❽❇③ts
❽t➂✗➂❸➅▼❾
❼✘③❄q✡❢✲③ts
➀
⑤☛⑩ ③❄① ⑤✲❷①❞
❽t➂✗➂☛➆
⑥
➀
❞
➆ ✈❍♦ ⑩◆❸
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩⑩◆③❄①✰❣④✉✞s✝❢☛✈
➁
①❋⑥◆③✢❷r③t⑤✗s❨⑩◆♦ ⑩◆❸❽✩s✙✉◆q❄③❄✈❍✈ ❸✗✉✞③❄✈ ⑤✲✈ ✇✵✉✗❷r❷r✉✯❣✘✈❅❞➈➇❜♦ s✙✈❨①
➁
❣④③✢③t⑩◆q❄✉
⑧
③❈①❋⑥◆③
③✡❤◆♦▼✈❨①❍♦ ⑩◆❸➉❢◆⑩◆✉◗❣ ❷▼③
⑧
❸☛③ ✉✲✇ ⑤✗⑩❈③✡❤ ❽❇③ts✙①✹✉◆s✐✈❍③❄①✏✉✲✇ ③✡❤✩❽✩③ts❦①❍✈✹♦ ⑩ ⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢
➁
⑤✲✈✹♦r✈
⑧
✉◆⑩◆③●❣✐⑥◆③t⑩
⑥❃❝◆♦r❷
⑧
♦ ⑩◆❸✜⑤ ❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r✈❍①❍♦rq ③✡❤✩❽✩③ts❦① ✈❍❹◆✈❍①❍③

➀
❞
❶
⑥◆③t⑩
➁
❣④③➂❝◆✈❍③♣⑤
⑧
⑤✲①❋⑤✚⑥✩⑤✲✈❍③✬①❨✉➊❝✩❽
⑧
⑤✲①❍③♣①❋⑥◆♦r✈✏❢✞⑩◆✉✯❣✘❷➋❷
③
⑧
❸✗③
➁
qts❦③t⑤✲①❍♦ ⑩◆❸ ✉✞⑩◆③✐✉✞s
➀
✉◆s✙③❥⑩◆③✡❣
⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩✢⑩◆③❄①✤❣④✉✞s✹❢✗✈❅❞
❶
⑥◆③✹s✙③❄✈✩❝◆❷r①✘♦ ⑩◆q❄❷✾❝
⑧
③❄✈✹⑤ s✙③✟❹ ⑩◆③
➀
③t⑩✗①✘✉❻✇✠①❋⑥◆③
✉✞s✙♦r❸✗♦ ⑩✩⑤✲❷✤③✡❤ ❽❇③ts✙①❙❢◆⑩◆✉◗❣ ❷▼③
⑧
❸☛③ ⑤✗⑩
⑧
✈❍✉

➀
③❄①❍♦
➀
③❄✈✮①❀⑥◆③ ♦
⑧
③t⑩☛①❍♦➋❹✖qt⑤✲①❍♦r✉✞⑩ ✉✲✇✠⑩◆③✡❣
⑧
♦r✈❍①❍♦ ⑩◆q❄①❍♦r✉✞⑩◆✈ ⑤✗⑩
⑧
s✙③❄❷ ⑤✲①❨♦▼✉◆⑩✚❷
✈❋⑥◆♦ ❽◆✈❅❞
❶
⑥◆③✕⑤✗❽✩❽✩s✙✉✞⑤❻q◗⑥ ♦r✈✏s✙✉☞⑥❃❝◆✈❍①✘①❨✉ ③ts❍s✙✉✞s❦✈✘♦ ⑩✢①❋⑥◆③■❢✞⑩◆✉✯❣✘❷r③
⑧
❸✗③ ✉✲✇✥①❀⑥◆③✹③✡❤✩❽✩③ts✙①❅❞❏➌
⑨
③t⑩✏❣ ⑥◆③t⑩ ③✡❤ ❽❇③ts✙①
❢◆⑩◆✉◗❣ ❷▼③
⑧
❸☛③✘♦r✈♠❝✩⑩✩s❦③❄❷▼♦ ⑤✔⑥◆❷r③✹⑤✗⑩
⑧
♦ ⑩◆q❄✉
➀
❽◆❷r③❄①❍③
➁
❣④③④qt⑤✗⑩✕✉✲✇❝①❍③t⑩✉❝◆✈❍③ ♦▼① ①❍✉✏♦
➀
❽✩s✙✉
⑨
③✘①❀⑥◆③✘❷r③t⑤✗s❍⑩◆♦ ⑩◆❸ ❽✩s✙✉✞q❄③❄✈❨✈❅❞

➍ ③t⑤✗s❍⑩◆♦ ⑩◆❸✺❝◆✈❍♦ ⑩◆❸
⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢☛✈✮♦r✈✘✈❨♦
➀
♦▼❷ ⑤✗s✆①❍✉✹①❋⑥✩⑤❻①♠❝◆✈❨♦ ⑩◆❸ ⑩◆③❅❝✩s❍⑤❻❷ ⑩◆③❄①✰❣④✉✞s✝❢☛✈❅❞
❶
⑥◆③✹❽✩s✙✉◆q❄③❄✈❍✈
③
➀
❽◆❷r✉✲❹✞♦ ⑩◆❸
⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩✬⑩◆③❄①✰❣④✉✞s✝❢☛✈
➁
⑥◆✉✯❣④③
⑨
③ts
➁
⑥✩⑤✲✈✐①✰❣④✉✄♦
➀
❽❇✉✞s✙①❋⑤☛⑩✗①✘⑤
⑧✩⑨
⑤✗⑩✗①❀⑤✲❸✗③❄✈❅❞
❾
⑩◆③
➁
❣ ③✏qt⑤☛⑩✢③t⑤✲✈❍♦r❷r❹
③t⑩◆q❄✉
⑧
③✬③✡❤✩❽✩③ts✙①✏❢✞⑩◆✉✯❣✘❷r③
⑧

❸✗③❈♦ ⑩❙⑤
⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩⑩◆③❄①✤❣④✉✞s✹❢ ⑤✗⑩
⑧
❝◆✈❨③✬①❋⑥◆♦r✈✏❢✞⑩◆✉✯❣✘❷r③
⑧
❸✗③❈①❍✉ ♦ ⑩◆qts✙③t⑤✲✈❍③❈①❋⑥◆③
③✟➎ q❄♦r③t⑩◆q❄❹❁⑤☛⑩
⑧
⑤✲q❄q❅❝✩s❍⑤✲q❄❹✢✉✲✇❜❷r③t⑤✗s❍⑩◆♦ ⑩◆❸▼❞
❶
❣④✉
➁
①❋⑥◆③✄⑩◆✉
⑧
③❄✈✏⑤✗⑩
⑧
⑤✗s✙q❄✈✘♦ ⑩ ❷▼③t⑤☛s❍⑩◆③
⑧⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩✢⑩◆③❄①✤❣④✉✞s✹❢✗✈
✉✲✇❝①❍③t⑩✷q❄✉✞s❍s✙③❄✈❋❽❇✉✞⑩
⑧
①❍✉♣s✙③❄q❄✉✗❸✞⑩◆♦★➏t⑤✔⑥◆❷r③
⑧
♦r✈❍①❨♦ ⑩◆q❄①❨♦▼✉◆⑩◆✈ ⑤✗⑩
⑧
qt⑤✚❝◆✈❋⑤✲❷✘s✙③❄❷ ⑤✲①❍♦r✉✞⑩◆✈❋⑥◆♦ ❽◆✈❅❞★❼④✉✞⑩◆✈❍③✡❜❃❝◆③t⑩☛①❍❷r❹
➁
❣④③
qt⑤✗⑩

➀
✉◆s✙③✏③t⑤✲✈❍♦r❷r❹✢♦ ⑩✗①❍③ts❨❽✩s✙③❄①❥⑤☛⑩
⑧
❝✩⑩
⑧
③ts✙✈❍①❋⑤✗⑩
⑧
①❋⑥◆③❭❢◆⑩◆✉◗❣ ❷▼③
⑧
❸☛③✹③t⑩◆q❄✉
⑧
③
⑧
♦ ⑩✢①❋⑥◆③✕s✙③t❽✩s✙③❄✈❍③t⑩☛①❋⑤✲①❨♦▼✉◆⑩❊❞
❽
❶
⑥◆♦▼✈✘❽✩⑤✗❽❇③ts ♦▼✈✘⑤✗⑥✩s✙♦r③❀✇✠①✩❝◆①❍✉✞s❦♦ ⑤❻❷✖✉✞⑩
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢☛✈✮⑤✗⑩
⑧ ➀
③❄①❋⑥◆✉
⑧
✈ ✇❝✉✞s❜❷r③t⑤✗s❨⑩◆♦ ⑩◆❸✕①❋⑥◆③
➀
✇❑s✙✉
➀
⑧
⑤✲①❋⑤➄❞●❡ ⑩
 
③❄q❄①❍♦r✉✞⑩◆✈

➇
⑤✗⑩
⑧✂✁
❣④③
⑧
♦r✈❍q❅❝◆✈❍✈✕①❋⑥◆③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩♣❽✩⑥◆♦r❷r✉✗✈❍✉✞❽✩⑥☛❹❲⑤✗⑩
⑧
①❀⑥◆③ s❦③t❽✩s✙③❄✈❍③t⑩☛①❋⑤✲①❍♦r✉✞⑩❊❞✉❡ ⑩
 
③❄q❄①❍♦r✉✞⑩◆✈
➅
①❋⑥✩s✙✉☞❝◆❸✞⑥☎✄
➁
❣④③
⑧
③❄✈❍qts❦♦ ⑥❇③
➀
③❄①❀⑥◆✉
⑧
✈④✇❝✉✞s④❷r③t⑤✗s❨⑩◆♦ ⑩◆❸ ①❋⑥◆③✹❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①❍♦r③❄✈✹⑤✗⑩
⑧
✈❨①❋s✝❝◆q❄①✩❝✩s✙③✏✉❻✇✥⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✤❣④✉✞s✹❢▼❞✷❡❑⑩
 
③❄q❄①❨♦▼✉◆⑩◆✈
➄
⑤✗⑩

⑧ ➂❇➁
❣④③
⑧
♦r✈❍q❅❝◆✈❍✈
➀
③❄①❀⑥◆✉
⑧
✈④✇❝✉✞s ♦
⑧
③t⑩✗①❨♦ ✇❝❹◆♦ ⑩◆❸✢⑩◆③✡❣
⑧
♦r✈❍①❍♦ ⑩◆q❄①❍♦r✉✞⑩◆✈
⑤✔⑥❇✉☞❝◆①✕①❋⑥◆③✺❣④✉✞s❦❷
⑧
⑤☛⑩
⑧
♦ ⑩☛①❍③❄❸✞s❍⑤✲①❨♦ ⑩◆❸♣①❋⑥◆③❄✈❨③
⑧
♦▼✈❨①❍♦ ⑩◆q❄①❍♦r✉✞⑩◆✈ ♦ ⑩☛①❍✉ ⑤
⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩❲⑩◆③❄①✰❣④✉✞s✝❢❲❞✬❿✷③ s✙③❄✈❨①❋s✙♦rq❄①
✉☞❝✩s
⑧
♦r✈❍q❅❝◆✈❍✈❍♦r✉✞⑩★①❨✉
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩★⑤✗⑩
⑧
❜❃❝✩⑤✲✈❍♦➋❷
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩

➀
③❄①❀⑥◆✉
⑧
✈ ✇❝✉✞s✏❷r③t⑤✗s❍⑩◆♦ ⑩◆❸▼❞
⑦
⑩✷♦ ⑩☛①❍③ts✙③❄✈❨①❍♦ ⑩◆❸❲⑤✗⑩
⑧
✉✲✇❝①❍③t⑩✕③✟➃❡③❄q❄①❍♦
⑨
③✏⑩◆✉✞⑩✚❷
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑤✗❽✩❽✩s✙✉✞⑤✲q❄⑥✕♦r✈✮❸☛♦
⑨
③t⑩✺⑥☛❹
❿
③t⑤✗s✙❷✖⑤☛⑩
⑧✝✆
③ts
➀
⑤✏❺
❽t➂☛➂❃❽❅➀
⑤✗⑩
⑧✞ 
❽◆♦ s✙①❨③❄✈ ③❄①④⑤✲❷①❞
❺
❽t➂☛➂✟✁✔➀
❞
⑦
❷r✈❍✉
➁

❣④③✹❷r♦
➀
♦r①✏✉☞❝✩s
⑧
♦r✈❍q❅❝◆✈❨✈❍♦r✉✞⑩♣①❍✉ ❽✩s❦✉☞⑥◆❷r③
➀✓⑧
✉
➀
⑤✲♦ ⑩◆✈✂❣ ⑥◆③ts✙③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈✏①❋⑤✔❢❻③✏✉✞⑩
⑧
♦r✈❍qts✙③❄①❨③
✈❍①❋⑤❻①❍③❄✈❅❞✎♥♣✉✞s✙③✘❸✗③t⑩◆③ts❨⑤✲❷✖①❍③❄q❄⑥✩⑩◆♦★❜ ❝◆③❄✈✏⑤✗s✙③ ❸✗♦
⑨
③t⑩ ♦ ⑩
⑨
❝✩⑩☛①❍♦ ⑩◆③✺❺
❽t➂☛➂✯➅☞➀
⑤✗⑩
⑧
❼✘③❄q✡❢✲③ts
➀
⑤✗⑩ ③❄①✘⑤✲❷①❞✛❺
❽t➂✗➂✗➆
⑥
➀
❞
✠ ✡☞☛✍✌✏✎✒✑✔✓✕✌✗✖❊❵✘✑❦❱✚✙✛☛❭❵✘✜✝❩✢✖❊❩✕✣✤☛✥✓
⑨

③❀✇✵✉◆s✙③❏❣ ③
⑧
♦r✈❍q❅❝◆✈❍✈
⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢☛✈✥⑤✗⑩
⑧
⑥◆✉✯❣①❍✉✐❷r③t⑤✗s❍⑩✕①❋⑥◆③
➀
✇❑s✙✉
➀ ⑧
⑤✲①❋⑤
➁
♦▼①❖❣✘♦r❷r❷✖⑥◆③❄❷ ❽ ①❍✉✏s✙③
⑨
♦▼③✡❣
①❋⑥◆③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ♦ ⑩✗①❍③ts❨❽✩s✙③❄①❋⑤✲①❍♦r✉✞⑩ ✉✲✇ ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹✔❞
⑦
❽✩s✙♦
➀
⑤✗s✙❹ ③❄❷▼③
➀
③t⑩✗① ✉✲✇ ①❋⑥◆③④❷ ⑤✗⑩◆❸☞❝✩⑤❻❸✗③④✉✲✇ ❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
❺
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ✉✞s✆✉✗①❋⑥◆③ts✰❣✘♦r✈❍③
➀
♦r✈ ①❀⑥◆③✏③
⑨

③t⑩✗①✣❞
⑨
❹✢③
⑨
③t⑩☛①
➁
❣④③
➀
③t⑤✗⑩✢⑤ ✈❍①❋⑤❻①❍③ ✉❻✇✥✈❍✉
➀
③✄❽✩⑤✗s❦①✘✉✲✇❜✉☞❝✩s❏❣④✉✞s✙❷
⑧
♦ ⑩ ✈❍✉
➀
③ ①❍♦
➀
③ ♦ ⑩☛①❍③ts
⑨
⑤✲❷❪♦ ⑩ ①❋⑥◆③✏❽✩⑤✲✈❍①
➁
❽✩s✙③❄✈❍③t⑩☛①
➁
✉✞s✎✇✭❝◆①✩❝✩s✙③✔❞
⑦
q❄❷ ⑤✲✈❨✈❍♦rq✏③✡❤ ⑤
➀
❽◆❷▼③✏✉❻✇ ⑤☛⑩ ③
⑨
③t⑩☛①✮♦r✈④①❋⑥✩⑤✲①④⑤
❽✩⑤✗s✙①❨♦▼q❅❝◆❷ ⑤✗s✧✦✖♦ ❽❈✉✲✇ ⑤ q❄✉✗♦ ⑩✏❣ ♦▼❷r❷❜q❄✉

➀
③❭❝✩❽❁⑥◆③t⑤
⑧
✈❅❞
⑦
❽❇③ts❍⑥✩⑤✗❽◆✈
➀
✉✞s✙③ ♦ ⑩✗①❍③ts❦③❄✈❍①❍♦ ⑩◆❸ ③
⑨
③t⑩✗①✘♦r✈✏①❋⑥✩⑤❻①✘❸✗✉✗❷
⑧
❣✘♦r❷r❷✠q❄❷r✉✗✈❨③✄⑤✲①
➀
✉✞s❦③✏①❋⑥✩⑤✗⑩☎★
➅✞➅☛➅
❽❇③ts✘✉◆❝✩⑩◆q❄③✹✉✞⑩✪✩✞⑤☛⑩☞❝✩⑤✗s❦❹
❽✗➁✩➇✗➅☛➅❃❽
❞
✫
♦
⑨
③t⑩✕⑤✗⑩ ③
⑨
③t⑩✗①✗✬
➁
①❋⑥◆③✘❽✩s✙③
⑨
⑤✲❷r③t⑩✗① q❄✉✞⑩◆q❄③t❽◆①❍♦r✉✞⑩ ✉✲✇ ♦r①❍✈✮❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹✕♦r✈✮①❋⑥✩⑤❻①❜♦▼①❜♦r✈④⑤
➀
③t⑤✲✈✩❝✩s✙③④✉✲✇❪①❋⑥◆③

✇❑s✙③✡❜ ❝◆③t⑩◆q❄❹❘❣✘♦r①❋⑥❣✐⑥◆♦▼q❄⑥✭✬ ✉◆q❄q❅❝✩s✙✈
➁
❣ ⑥◆③t⑩❘❣④③ s✙③t❽✩③t⑤❻①
➀
⑤✗⑩✗❹❈①❍♦
➀
③❄✈ ⑤✗⑩♣③✡❤✩❽✩③ts✙♦
➀
③t⑩☛①✉❣✘♦r①❋⑥✷❽✩✉✗✈❍✈❨♦ ⑥◆❷r③
✉☞❝◆①❍q❄✉
➀
③❄✈✝✬✬⑤✗⑩
⑧☞✮
✬❺❝⑩◆✉☛①✯✬
➀
❞
⑦ ⑧
♦➋➃❡③ts✙③t⑩✗① ⑩◆✉✗①❨♦▼✉◆⑩★♦▼✈ ①❋⑥✩⑤✲①✕①❋⑥◆③✬❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹✉✲✇✰✬✢s✙③t❽✩s❦③❄✈❍③t⑩✗①❨✈ ①❋⑥◆③
✱
♦✳✲☞③✰♦✟♦✺②✵✴☎✶✝♦✸✷✙qs♦✹✴⑥◆③❄❷
⑧
⑥✗❹ ⑤✬❽❇③ts✙✈❍✉✞⑩❅①❋⑥✩⑤✲①✹①❀⑥◆③ ③
⑨
③t⑩☛①✺✬✿❣✘♦r❷r❷✮✉◆q❄q❅❝✩s ♦ ⑩★⑤✢✈❨♦ ⑩◆❸☛❷▼③✢③✡❤✩❽✩③ts❦♦
➀
③t⑩✗①❅❞ ❡❴✇ ⑤
❽✩③ts❦✈❍✉✞⑩♣⑤✲✈❍✈❍♦r❸✞⑩◆✈✏⑤ ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹❈✉✲✇
❽
①❍✉✞✬
➁

①❀⑥◆③t⑩✬⑥◆③✉⑥✩③❄❷r♦r③
⑨
③❄✈❭❣ ♦▼①❀⑥✬q❄③ts❦①❋⑤✲♦ ⑩✗①✙❹✢①❋⑥✩⑤❻①✕✬✗❣✘♦r❷▼❷❜✉◆q❄q❅❝✩s✡❞✂❡❴✇
⑥◆③ ⑤✲✈❨✈❍♦r❸✞⑩◆✈✹⑤✢❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹ ✉✲✇
➅
①❨✉✞✬
➁
①❋⑥◆③t⑩ ⑥◆③✉⑥❇③❄❷▼♦r③
⑨
③❄✈❫❣✘♦r①❋⑥❈q❄③ts✙①❋⑤✲♦ ⑩☛①✌❹❈①❋⑥✩⑤✲①✍✬■❣ ♦▼❷r❷④⑩◆✉✗①✹⑥✩⑤✗❽✩❽✩③t⑩❊❞
❡❴✇ ⑥◆③ ⑤❻✈❍✈❍♦r❸✞⑩◆✈✄⑤✢❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹ ⑥❇③❄①✰❣ ③❄③t⑩
➅
⑤✗⑩
⑧⑧❽
①❍✉✻✬
➁
①❋⑥◆③t⑩ ⑥◆③ ♦▼✈ ①❍✉✢✈❍✉
➀
③
⑧
③❄❸✞s✙③❄③✺❝✩⑩◆✈✟❝✩s✙③ ⑤✔⑥❇✉☞❝◆①
❣ ⑥◆③❄①❋⑥◆③ts✆✉✞s✘⑩◆✉✗①✕✬❛❣✘♦r❷r❷✠✉◆q❄q❅❝✩s✡❞
❶
⑥◆③✬♦ ⑩✗①❨③ts❍❽✩s✙③❄①❋⑤✲①❨♦▼✉◆⑩❙✉❻✇✄⑤❲❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹ ⑤✲✈✢⑤♣✇❑s✙③✡❜❃❝◆③t⑩◆q❄❹❙♦ ⑩✜⑤ ✈❍③ts❦♦▼③❄✈✢✉❻✇✄s✙③t❽✩③t⑤✲①✢③✡❤✩❽✩③ts❦♦
➀
③t⑩✗①❍✈
♦r✈ ①❋s❍⑤
⑧
♦▼①❨♦▼✉◆⑩✩⑤✲❷r❷▼❹❙s❦③❀✇✵③ts❍s❦③
⑧

①❍✉ ⑤✲✈✕①❋⑥◆③②✼✶✾✽✡♦❀✿✣✈①q❂❁✣♦✕✉✞s❃✴r③✰♦❅❄❇❆◆♦❅t▼✈①q ♣✡✈❜♦ ⑩✗①❍③ts❨❽✩s✙③❄①❋⑤✲①❍♦r✉✞⑩❊❞ ❡❑⑩★q❄✉✞⑩☛①❋s❍⑤❻✈❍①
➁
①❋⑥◆③
♦ ⑩✗①❨③ts❍❽✩s✙③❄①❋⑤✲①❨♦▼✉◆⑩❙✉❻✇✄⑤❲❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹ ⑤✲✈✢⑤
⑧
③❄❸✞s❦③❄③❁✉❻✇●⑥✩③❄❷r♦r③❀✇ ♦r✈✢qt⑤✲❷r❷▼③
⑧
①❋⑥◆③ ♣❈❆❉✶✾✽✡♦❀✿✣✈①q❂❁✣♦ ✉✞s ❥✑❧✔♥✯♦✡♣✡q❋❧✚t
♦ ⑩✗①❨③ts❍❽✩s✙③❄①❋⑤✲①❨♦▼✉◆⑩
➁
♦ ⑩ ⑥◆✉◆⑩◆✉✞s❜✉✲✇❡①❋⑥◆③✐②④③
⑨
③ts✙③t⑩
⑧✢❶
⑥◆✉
➀
⑤❻✈
⑨
⑤✫❹✗③❄✈
➁
⑤✏✈❨q❄♦▼③t⑩☛①❍♦r✈❍① ✇❑s✙✉
➀
①❋⑥◆③
➀
♦
⑧
❷
❽
✄
➅✗➅

✈❖❣ ⑥◆✉
⑥◆③❄❷ ❽✩③
⑧
①❍✉ ❽◆♦r✉✞⑩◆③❄③ts ①❋⑥◆③✢①❋⑥◆③❄✉✞s✙❹✷✉✲✇ ❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼✈❨①❍♦rq❁♦ ⑩☛✇❝③ts✙③t⑩◆q❄③ ❺
⑨
⑤✫❹✗③❄✈
❽t➂☛➆✗➄❃❾
❼ ⑤✲q✡❢☛♦ ⑩◆❸
➁✛❽t➂
✄
➆✔➀
❞
⑦
✈
❣④③ ✈❀⑥✩⑤✲❷r❷✘✈❍③❄③ ♦ ⑩
 
③❄q❄①❨♦▼✉◆⑩
➅✖➁
①❋⑥◆③ ✇❑s✙③✡❜❃❝◆③t⑩✗①❍♦r✈❍①✕♦ ⑩☛①❍③ts❍❽✩s✙③❄①❋⑤❻①❍♦r✉✞⑩★♦r✈ ⑤❈✈❋❽✩③❄q❄♦ ⑤✲❷✘qt⑤❻✈❍③ ✉❻✇ ①❋⑥◆③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩
♦ ⑩✗①❨③ts❍❽✩s✙③❄①❋⑤✲①❨♦▼✉◆⑩❊❞
❡ ⑩♣①❋⑥◆③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩❈♦ ⑩✗①❍③ts❨❽✩s✙③❄①❋⑤✲①❍♦r✉✞⑩
➁
⑤✢❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹ ✉✞s❈⑥✩③❄❷r♦r③❀✇❦❣✘♦r❷r❷ ⑤❻❷✙❣✘⑤✫❹◆✈
⑧
③t❽❇③t⑩
⑧

✉✞⑩❈①❋⑥◆③ ✈❍①❋⑤✲①❍③
✉✲✇✐❢◆⑩◆✉✯❣✘❷r③
⑧
❸✗③✹✉✲✇❜①❋⑥◆③ ❽✩③ts❦✈❍✉✞⑩✏❣✐⑥◆✉ ❽✩s✙✉
⑨
♦
⑧
③❄✈ ①❋⑥✩⑤❻① ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹✔❞✛➇✤✉✞s④③✡❤✩⑤
➀
❽◆❷r③
➁
♦ ✇❙❣④③❭❣④③ts✙③✏①❍✉ ❸✗♦
⑨
③
✈❍✉
➀
③❄✉✞⑩◆③❥⑤ q❄✉✗♦ ⑩
➁
⑥◆③✛❣④✉☞❝◆❷
⑧
❷▼♦✾❢✲③❄❷r❹✬⑤✲✈❨✈❍♦r❸✞⑩ ⑤ ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹ ✉✲✇
❽❇❊☛➇
①❍✉ ①❋⑥◆③ ③
⑨
③t⑩✗① ①❋⑥✩⑤✲①✮①❀⑥◆③ q❄✉✗♦ ⑩✿❣④✉☞❝◆❷
⑧
➇
✈❋⑥◆✉✯❣ ⑥◆③t⑤
⑧
✈ ✉✞⑩ ①❋⑥◆③❁⑩◆③✡❤◆① ①❨✉✗✈❍✈❅❞⑧❡✵✇

➁
⑥◆✉✯❣ ③
⑨
③ts
➁
❣④③✬q❄✉✞⑩
⑨
♦ ⑩◆q❄③
⑧
①❋⑥✩⑤❻① ❽✩③ts✙✈❨✉✞⑩①❋⑥✩⑤❻① ①❋⑥◆③✬q❄✉☛♦ ⑩ ❣✘⑤✲✈
❣④③❄♦r❸✞⑥✗①❨③
⑧
♦ ⑩✷✇❑⑤
⑨
✉✞s✐✉✲✇❥⑥◆③t⑤
⑧
✈
➁
⑥◆③✺❣④✉☞❝◆❷
⑧
⑤✲✈❍✈❍♦r❸✞⑩★⑤♣⑥◆♦r❸✞⑥◆③ts ❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹❲①❨✉✬①❋⑥◆③ ③
⑨
③t⑩☛①❅❞
❶
⑥☞❝◆✈
➁
❣④③
❣ s✙♦r①❍③④①❋⑥◆③✐❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹✕✉✲✇ ✬✘⑤✲✈
 
❺ ✬✂✁ ✄

➀❄➁
❣ ⑥◆♦rq❄⑥✕♦r✈ s✙③t⑤
⑧
⑤❻✈❜①❋⑥◆③✘❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹ ✉✲✇ ✬✥✲◆q❂❁✣♦❅t☎✄▼❞
❶
⑥◆③✘✈❍❹
➀
⑥✩✉✗❷
✄ s✙③t❽✩s✙③❄✈❍③t⑩☛①❍✈✘①❀⑥◆③✹✈❍①❋⑤❻①❍③ ✉❻✇❑❢◆⑩◆✉✯❣✘❷r③
⑧
❸✗③✏✉✲✇❜①❋⑥◆③✹❽✩③ts✙✈❨✉✞⑩✏❣ ⑥◆✉ ❽✩s✙✉
⑨
♦
⑧
③❄✈✐①❋⑥◆③✹❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹✔❞
⑦
❷r✈❍✉
➁
♦ ⑩ ①❋⑥◆♦r✈④♦ ⑩☛①❍③ts❍❽✩s❦③❄①❋⑤✲①❍♦r✉✞⑩
➁
⑤✕❽✩③ts✙✈❨✉✞⑩ qt⑤☛⑩ ⑤✲✈❨✈❍③❄✈❍✈✘⑤✹❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹✏⑥✩⑤✲✈❍③
⑧
✉✞⑩ ♦ ⑩☛✇✵✉✞s
➀
⑤✲①❍♦r✉✞⑩ ①❋⑥✩⑤✲①
⑥◆③■❧✯♣✩♣ ❆✝✆●♦✌♣✠①❍✉■⑥✩③✐①❋s✝❝◆③✔❞▲➇✖✉◆s❜③✡❤✩⑤
➀
❽◆❷r③
➁
✉☞❝✩s❜q❄✉✗♦ ⑩ ①❍✉✗✈❍✈❨③ts❜qt⑤✗⑩ ⑤❻✈❍✈❍③❄✈❍✈ ①❋⑥◆③❥❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹ ①❀⑥✩⑤✲①✮①❋⑥◆③ q❄✉✗♦ ⑩

❣④✉☞❝◆❷
⑧
✈❋⑥◆✉✯❣ ⑥◆③t⑤
⑧
✈ ✉✞⑩ ①❀⑥◆③ ③❄❷r③
⑨
③t⑩☛①❋⑥ ①❍✉✗✈❨✈
➁
❝✩⑩
⑧
③ts④①❋⑥◆③✏⑤✲✈❍✈✩❝
➀
❽◆①❨♦▼✉◆⑩ ①❋⑥✩⑤✲①✮①❀⑥◆③ ✈❋⑤
➀
③ q❄✉☛♦ ⑩ q❄✉
➀
③❄✈✑❝✩❽
⑥◆③t⑤
⑧
✈✘✉◆⑩ ③t⑤✲q❄⑥ ✉✲✇✠①❋⑥◆③❇❹ s✙✈❍①④①❍③t⑩ ①❍✉✗✈❍✈❨③❄✈❅❞✎❿ ③✛❣✐s✙♦r①❍③
 
❺✹✬✟✞✠✁ ✬☛✡✌☞✍✄
➀
①❨✉
⑧
③t⑩◆✉✗①❍③✏①❀⑥◆③❥❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹ ✉✲✇✠③
⑨
③t⑩☛①
✬
✞

✲◆q❂❁✣♦❅t✕①❋⑥✩⑤❻①✘③
⑨
③t⑩☛①✕✬
✡
♦r✈✐①❋s✝❝◆③✹⑤✗⑩
⑧
❸✗♦
⑨
③t⑩ ⑥✩⑤✲q✡❢✗❸✞s❦✉☞❝✩⑩
⑧
❢✞⑩◆✉✯❣✘❷r③
⑧
❸✗③✎✄▼❞
♥ ⑤✗⑩☛❹ s✙③❄✈❍③t⑤✗s❦q◗⑥◆③ts✙✈✘⑥✩⑤
⑨
③❈❣ s✙♦r①❍①❍③t⑩
⑧
✉✯❣ ⑩
⑧
♦ ➃❡③ts✙③t⑩☛①④✈❍③❄①❍✈④✉✲✇✥❽✩s❦✉✞❽✩③ts✙①❨♦▼③❄✈ ①❋⑥✩⑤✲①✮✈❀⑥◆✉☞❝◆❷
⑧
⑥✩③✐✈❋⑤✲①❨♦▼✈ ❹✖③
⑧
⑥☛❹
⑧
③❄❸✞s✙③❄③❄✈④✉✲✇✴⑥✩③❄❷r♦r③❀✇❦❺❴③✔❞ ❸❲❞
➁
❼④✉✯❤
❽t➂✯➅✂✏❃❾✼✫
✉◆✉

⑧ ❽t➂✗➆☛➅❃❾  
⑤
⑨
⑤❻❸✗③
❽t➂✗➆❸➅▼❾
❺✏③✡➇❜♦ ⑩◆③❄①❍①❍♦
❽t➂
✄
➅✚➀
➇ s❦✉
➀
③t⑤✲q❄⑥✕✉✲✇
①❋⑥◆③ ❷▼♦r✈❍①❨✈✠✉✲✇✖❽✩s✙✉✞❽❇③ts✙①❍♦r③❄✈
➁
①❋⑥◆③❄✈❨③ s✙③❄✈❍③t⑤☛s✙q◗⑥◆③ts❦✈✠⑥✩⑤
⑨
③
⑧
③ts✙♦
⑨
③
⑧
①❋⑥◆③❜✈❋⑤
➀
③ s✝❝◆❷r③❄✈✍✑❙①❋⑥◆③④s✝❝◆❷r③❄✈❜✉✲✇✖❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹✔❞
❶
❣④✉✉⑥✩⑤✲✈❍♦rq✄s✹❝◆❷▼③❄✈
➁
✇❑s✙✉
➀

❣ ⑥◆♦rq❄⑥✢✉✗①❋⑥◆③ts s✝❝◆❷r③❄✈
➀
⑤✫❹✏⑥✩③
⑧
③ts✙♦
⑨
③
⑧❡➁
⑤☛s✙③ ①❀⑥◆③✉♣ ❆✂✆ ③❅❆✼✷✙♦
➁
❣ ⑥◆♦rq❄⑥✢✈❋⑤✫❹◆✈✘①❋⑥✩⑤✲①
✇❝✉✞s✘⑤✗⑩☛❹ ③
⑨
③t⑩☛①✕✬✕⑤✗⑩
⑧
♦r①❍✈✘q❄✉
➀
❽◆❷▼③
➀
③t⑩✗①
✮
✬
➁
 
❺✹✬✝✁ ✄
➀✓✒
 
❺
✮
✬✂✁ ✄

➀✕✔ ❽
⑤✗⑩
⑧
①❋⑥◆③✎✖❆③✰②
✱
❆✼✿❅✈❏③❅❆ ✷★♦
➁
❣✐⑥◆♦▼q❄⑥✢✈❀⑤t❹◆✈✘①❋⑥✩⑤❻①✮✇❝✉✞s✘⑤☛⑩✗❹ ①✰❣ ✉✕③
⑨
③t⑩☛①❍✈✕✬
✡
⑤✗⑩
⑧
✬
✞
➁
 
❺✹✬☛✡✌☞❀✬✟✞✠✁ ✄
➀✕✔
 
❺✹✬✌✞✗✁ ✬✗✡✌☞✘✄
➀
 
❺✹✬✗✡✌✁ ✄
➀
❣ ⑥◆③ts✙③
 
❺✹✬✗✡✌☞❅✬✌✞✗✁ ✄
➀✮⑧
③t⑩◆✉☛①❍③❄✈ ①❀⑥◆③✹❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹❈①❋⑥✩⑤✲①✥✬✗✡ ⑤☛⑩

⑧
✬✌✞✏⑤✗s✙③✏①❀s✝❝◆③✏❸✗♦
⑨
③t⑩✙✄▼❞
❾
①❀⑥◆③ts❜q❄✉
➀ ➀
✉✞⑩◆❷r❹ ❝◆✈❨③
⑧
s✝❝◆❷r③❄✈✘⑤✗s✙③ ✉✲✇✵①❨③t⑩✕③✡❤ ❽✩s❦③❄✈❍✈❍③
⑧
♦ ⑩ ①❍③ts
➀
✈✮✉✲✇
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈ s❨⑤✲①❋⑥◆③ts❜①❀⑥✩⑤✗⑩✕③
⑨
③t⑩☛①❍✈❅❞
⑦
❁✣❧✔③✟q❋❧ ✶ ✷★♦✠①❀⑤✔❢✲③❄✈✎✉✞⑩
⑨
⑤✲❷✾❝◆③❄✈❜✇❑s✙✉
➀
⑤ q❄✉✗❷r❷▼③❄q❄①❨♦▼✉◆⑩✕✉✲✇
➀
❝◆①✩❝✩⑤❻❷▼❷r❹ ③✡❤✞q❄❷✾❝◆✈❍♦
⑨
③ ⑤☛⑩
⑧
q❄✉☛❷▼❷r③❄q❄①❍♦

⑨
③❄❷r❹ ③✡❤✩⑥✩⑤✔❝◆✈❍①❨♦
⑨
③
✈❍①❋⑤❻①❍③❄✈
➁
❣ ⑥◆③ts✙③✕③t⑤✲q❄⑥✬✈❨①❋⑤✲①❍③ q❄✉✞s❍s✙③❄✈❋❽❇✉✞⑩
⑧
✈✹①❨✉ ✈❍✉
➀
③✕③
⑨
③t⑩✗①✣❞
⑦ ⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③
➀
⑤✫❹➂⑥✩③
✱
q✾♣ ✿❅③✰♦✣✈①♦
➁
⑥✩⑤
⑨
♦ ⑩◆❸✬⑤
❹ ⑩◆♦r①❍③✢✉✞s q❄✉☞❝✩⑩☛①❋⑤✔⑥◆❷r③✢⑩☞❝
➀
⑥✩③ts ✉✲✇✘✈❍①❋⑤✲①❍③❄✈
➁
✉◆s✹♦r①
➀
⑤✫❹⑥✩③ ✿✟②✔t▼✈①qst ❆◆②✟❆✚♣r❞ ➇✖✉◆s✹③✡❤✩⑤

➀
❽◆❷r③
➁
⑤❈①✰❣④✉✯❷❑✈❍①❋⑤❻①❍③
✉✞s✍✶✌q❋t❲❧✔③✟♥
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③ qt⑤✗⑩➂⑥❇③●❝◆✈❍③
⑧
①❍✉ s❦③t❽✩s✙③❄✈❍③t⑩☛① ①❋⑥◆③✕❽✩✉✗✈❨✈❍♦✾⑥◆❷▼③ ✉☞❝◆①❍q❄✉
➀
③❄✈ ✉✲✇ ⑤ q❄✉☛♦ ⑩✞✦✖♦ ❽
❾
❣ ⑥◆③ts✙③t⑤✲✈✏⑤
q❄✉✞⑩☛①❍♦ ⑩☞❝◆✉◆❝◆✈
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③✕qt⑤✗⑩ ⑥✩③✉❝◆✈❍③
⑧
①❍✉✢s✙③t❽✩s✙③❄✈❍③t⑩☛① ①❀⑥◆③●❣④③❄♦r❸✞⑥☛① ✉❻✇✥①❋⑥◆③✕q❄✉✗♦ ⑩❊❞❈❡❑⑩❈①❋⑥◆♦r✈✹❽✩⑤✗❽✩③ts
➁
❣ ③■❝◆✈❍③
❷r✉✯❣ ③ts✤❷❑qt⑤✲✈❍③✕❷r③❄①❍①❍③ts✙✈✏❺①❝◆✈✩❝✩⑤✲❷r❷r❹❲⑩◆③t⑤✗s✐①❋⑥◆③ ③t⑩
⑧
✉✲✇ ①❀⑥◆③ ⑤✲❷ ❽✩⑥✩⑤✔⑥✩③❄①
➀
①❍✉✬s✙③t❽✩s❦③❄✈❍③t⑩✗① ✈❍♦ ⑩◆❸✗❷r③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈ ⑤✗⑩
⑧
❝✩❽✩❽✩③ts✤❷❑qt⑤✲✈❍③✢❷r③❄①❍①❍③ts✙✈ ①❍✉❁s❦③t❽✩s✙③❄✈❍③t⑩☛①✹✈❍③❄①❍✈ ✉✲✇
⑨

⑤✗s❦♦ ⑤✚⑥◆❷▼③❄✈✣❞✬❿ ③❫❣ s✙♦r①❍③✛✚
✔✢✜
①❍✉
⑧
③t⑩◆✉✗①❨③ ①❋⑥✩⑤❻①
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③
✚♣♦r✈✏♦ ⑩♣✈❍①❋⑤❻①❍③
✜
❞ ❿ ⑥◆③t⑩➂❣④③✕✉☞⑥◆✈❍③ts
⑨
③✕①❋⑥◆③✕✈❍①❋⑤✲①❍③ ✇✵✉◆s✘③
⑨
③ts❦❹
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③ ♦ ⑩❈✈❍③❄①✤✣
➁
❣④③✕qt⑤✲❷r❷❜①❋⑥◆♦r✈✹✈❨③❄① ✉✲✇
✉☞⑥◆✈❍③ts
⑨
⑤✲①❍♦r✉✞⑩◆✈✕⑤ ✈❍①❋⑤✲①❨③✄✉❻✇✥✣
➁
⑤✗⑩
⑧
❣ s❦♦▼①❨③✦✣
✔✧✜
❞
 
✉
➀

③❄①❍♦
➀
③❄✈
➁
❣④③✕❷r③t⑤
⑨
③ ①❋⑥◆③ ✈❨①❋⑤✲①❍③✕✉✲✇✘⑤
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③
✉✞s ✈❍③❄①✘✉✲✇
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈✹♦
➀
❽◆❷r♦rq❄♦r①❅❞
❶
⑥◆③✎✖❆③✰② ✶✹❧ ✶✡q✾✷★q❋✈①♥
✱
q ♣r✈①③✟q ✶ ❆☞✈①qs②✔t② ❁❅♦❅③✗❧✏♣✡♦❅✈❖②✵✴✝❁❅❧✔③✟q❋❧✼✶ ✷★♦✡♣★✣
➁✩⑧
③t⑩◆✉✗①❨③
⑧
 
❺✩✣✪✁ ✄
➀❄➁
♦r✈ ①❋⑥◆③✏✈❨③❄①✘✉✲✇✮❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①❍♦r③❄✈
 
❺✩✣
✔✫✜
✁ ✄
➀

✇✵✉✞s ⑤✲❷r❷❡✈❍①❋⑤✲①❨③❄✈ ✉❻✇✬✣➈❞
✡
✭✯✮✦✰✗✱✳✲✵✴✷✶✍✸✹✲✌✺✯✻✽✼✾✲✗✿❀✸✹✲✌❁❃❂❄✶✍✸✽✲✌✺✩✼✾✲❆❅✗✸✽❅✗✿✕❇✽✻✽❈✯✼❃✻✹❉✌❁❃✱✍✿✍❊✟❋✂●❍✴✦■ ❏▲❑▼✼❃✿❀✿✯✸❖◆✱◗✺✩✼❃◆✱✍✿❘✶✍✻✹❁✾❁❃✱◗❙❚✻✕❯✟❈✳✸✽❉✗✻✽❉✟✼✾❁✾✼❱✺✩❂✵❙✌✱❲✲✗✿✩✼❃✺❳❂❖❨❩✮✦✰✗✱✳✲✤✴
✶✍✸✽✲✌✺✯✻✹✼✾✲✠✿❬❉❭✸❖✺✩✰❪❙❫✼❃✿✯✶❲❈✳✱◗✺✯✱❴✻✹✲✠❙✶✍✸✽✲✌✺✩✼✾✲❆❅✗✸✽❅✗✿❘❇✽✻✹❈✯✼❃✻✽❉✟❁❃✱◗✿✍❊❖❋✝●❍✴✦■ ❏❆❑✗✼❃✿❬✿✯✸❵◆✱✍✺✩✼❃◆✱◗✿❬✶✍✻✽❁✾❁❃✱✍❙❄✻❀❛❖✱❲✲✠✱❲❈✳✻✽❁✾✼❃❜✍✱✍❙☎❯✌❈✳✸✹❉✠✻✹❉✌✼✾❁✾✼❃✺✩❂❝❙✟✱✳✲✗✿✩✼❃✺❳❂❖❨
✮✵✱✕❙✟✸❞✲✠✸❖✺❀◆✻✹❡▲✱✕✺✩✰✗✱◗✿✯✱✕❙❫✼❃✿✯✺✩✼✾✲✠✶✍✺✩✼❃✸✹✲☛✿❢✼✾✲❣✺✩✰✟✼❃✿❘❯✗✻✽❯❭✱❲❈✽❨
✁
❾
⑩◆③ q❄✉
➀ ➀
✉◆⑩ s✝❝◆❷r③ ✉✲✇ ❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹❈♦▼✈❛❥♠❧✚♥◗♦✌♣
 
✈✂✁◆♦✩②✔③✰♦✟✆☎✄
 
❺ ✣ ✁ ✆✥☞✘✄
➀ ✔
 
❺✂✆✛✁ ✣ ☞✘✄
➀
 
❺✂✆ ✁ ✄
➀
 
❺✩✣✪✁ ✄
➀
✇❝✉✞s
 
❺✂✆ ✁ ✄
➀✞✝❣➅
❼ ③ts✙③
➁

 
❺ ✣ ✁ ✄
➀
♦r✈✹①❋⑥◆③ ❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩ ✉✲✇✣ ⑥❇③❀✇✵✉◆s✙③✉❣④③✉❢✞⑩◆✉✯❣✟✆
➁
⑤✗⑩
⑧
 
❺ ✣ ✁ ✆✥☞✘✄
➀
♦▼✈ ①❋⑥◆③
❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩★✉❻✇❪✣ ⑤✫✇❝①❍③ts✂❣④③✺❢◆⑩◆✉✯❣✠✆✿❞
❶
⑥◆③❄✈❍③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈ ⑤✗s✙③ ✈❍✉
➀
③❄①❍♦
➀
③❄✈✹qt⑤❻❷▼❷r③
⑧
①❋⑥◆③❚✖❆③✟q❋②✚③✝♣✹⑤✗⑩
⑧
✖❃②✯♣✡✈①♦❅③✟q❋②✔③✹♣ ✉❻✇✥✣
➁
s❦③❄✈❋❽✩③❄q❄①❍♦

⑨
③❄❷r❹✔❞✏❡❑⑩
➀
⑤☛⑩✗❹❈qt⑤✲✈❍③❄✈
➁
✉✞⑩◆❷r❹❁①❀⑥◆③ s❦③❄❷ ⑤❻①❍♦
⑨
③ ❽✩✉☛✈❍①❍③ts✙♦r✉✞s✐✉✲✇
✣ ♦r✈✐✉✲✇❜♦ ⑩☛①❍③ts✙③❄✈❨①❅❞❙❡❑⑩ ①❋⑥◆♦r✈✘qt⑤✲✈❍③
➁❲⑨
⑤✫❹✗③❄✈☛✡✞①❀⑥◆③❄✉✞s✙③
➀
♦r✈❈❣ s✙♦r①❍①❍③t⑩
 
❺✩✣✪✁ ✆☞✍✄
➀❘✔✌☞
 
❺✂✆ ✁ ✣ ☞✍✄
➀
 
❺✩✣✪✁ ✄
➀
❣ ⑥◆③ts✙③
☞
♦r✈✏⑤ ⑩◆✉✞s
➀
⑤✲❷r♦✙➏t⑤❻①❍♦r✉✞⑩✢q❄✉✞⑩◆✈❨①❋⑤✗⑩☛①❅❞
⑦
⑩◆✉✗①❀⑥◆③ts✘s✝❝◆❷r③✹♦r✈✐①❋⑥◆③✝✿✍✁☞❧✚q❋t ③❅❆ ✷★♦✎✄
 

❺✯✚ ✡✌☞✎✏☛✏✎✏✍☞❵✚✒✑✓✁ ✄
➀✕✔
✑
✓
✔✖✕
✡
 
❺✯✚
✔
✁✾✚ ✡✌☞✎✏✎✏☛✏✍☞❵✚
✔✂✗
✡✌☞✍✄
➀
❿ ③ ✈❀⑥✩⑤✲❷r❷ ✈❨③❄③ ①❋⑥✩⑤✲① ①❋⑥◆♦r✈✄s✝❝◆❷r③ ♦▼✈✕♦
➀
❽❇✉✞s✙①❋⑤✗⑩☛①✹♦ ⑩✷①❋⑥◆③
⑧
③✟❹ ⑩◆♦r①❍♦r✉✞⑩★✉✲✇
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢☛✈❅❞
⑦
❷r✈❍✉
➁
❣④③
⑥✩⑤
⑨
③✏①❋⑥◆③ ✲◆♦❅t▼♦✣③✰❧✟✷★q✖✘✡♦
✱
♣❈❆✝✆ ③❅❆ ✷★♦✎✄
✙✛✚

 
❺✩✣ ☞✜✆ ✁ ✄
➀✕✔
 
❺✩✣✪✁ ✄
➀
❣ ⑥◆③ts✙③✣✢
✚
♦r✈✏⑤ ❸✗③t⑩◆③ts❍⑤✲❷r♦★➏❄③
⑧
✈✩❝
➀
①❀⑥✩⑤✲①④♦ ⑩◆q❄❷✾❝
⑧
③❄✈ ♦ ⑩☛①❍③❄❸✞s❨⑤✲❷r✈✑❣ ⑥◆③t⑩✢✈❨✉
➀
③✏✉✞s④⑤✲❷r❷✎✉✲✇✠①❋⑥◆③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈✐♦ ⑩
✆✓⑤✗s✙③✏q❄✉✞⑩☛①❍♦ ⑩◆❝◆✉☞❝◆✈❅❞✷➇❜♦ ⑩✩⑤✲❷r❷r❹
➁
❣④③✹⑥✩⑤
⑨
③✏①❋⑥◆③✉♦✥✤✽✖❃❧✔t❃♣✡q❋②✚t➉③❅❆✼✷✙♦☛✄
 
❺✩✣✪✁ ✄
➀❴✔
✙✛✚
 
❺✩✣✪✁ ✆☞✍✄

➀
 
❺✂✆ ✁ ✄
➀
❶
⑥◆③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩♣❽✩⑥◆♦r❷r✉✗✈❍✉✞❽✩⑥☛❹♣③✡❤✞①❨③t⑩
⑧
✈✏①❍✉
⑧
③❄q❄♦r✈❍♦r✉✞⑩
➀
⑤✔❢☛♦ ⑩◆❸➂❝✩⑩
⑧
③ts❭❝✩⑩◆q❄③ts✙①❀⑤✲♦ ⑩✗①✙❹✬♦ ⑩ ⑤
⑧
♦r✈❍q❄♦ ❽◆❷r♦❉⑩◆③
❢◆⑩◆✉◗❣✐⑩❲⑤✲✈
✱
♦❅✿❅q ♣rqs②✔t➈✈✂✁☞♦✟②✔③✟♥◗❞❡ ⑩★❸✗③t⑩◆③ts❍⑤✲❷
➁
⑤
⑧
③❄q❄♦r✈❍♦r✉✞⑩❙⑥✩⑤✲✈✕①❋⑥✩s❦③❄③ q❄✉
➀
❽✩✉✞⑩◆③t⑩☛①❍✈✎✄❫❣ ⑥✩⑤✲①✄⑤
⑧
③❄q❄♦r✈❍♦r✉✞⑩
➀

⑤✔❢❻③ts❜qt⑤✗⑩
⑧
✉➂❺❝⑥◆♦r✈❦❧ ✷✙✈①♦✣③✩t❲❧✔✈①q✾❁❅♦✡♣
➀❄➁
❣ ⑥✩⑤✲① ⑥◆③✂❢◆⑩◆✉◗❣ ✈❦❺❝⑥◆♦r✈✺✶✹♦❇✷★qs♦✹✴✟♣
➀❄➁
⑤✗⑩
⑧
❣ ⑥✩⑤✲①✘⑥◆③❈❣✆⑤☛⑩✗①❍✈✛❺ ⑥◆♦▼✈❪✖❆③✰♦✹✴✡♦❅③✧✦
♦❅t ✿✩♦✌♣
➀
❞☎❡❑⑩
⑧
③❄q❄♦r✈❍♦r✉✞⑩ ①❋⑥◆③❄✉✞s✙❹
➁
❣④③✑❝◆✈❍③ ⑤
✱
♦❅✿❅q ♣rqs②✔t✪❁❅❧✔③✟qs❧ ✶ ✷★♦❜①❍✉✹s❦③t❽✩s✙③❄✈❍③t⑩☛①✮⑤✐✈❍③❄①❜✉✲✇
➀
❝◆①✩❝✩⑤✲❷r❷r❹✕③✡❤✞q❄❷✾❝◆✈❍♦
⑨
③
⑤✗⑩
⑧
③✡❤✩⑥✩⑤✔❝◆✈❍①❍♦
⑨
③ ⑤✲❷r①❍③ts❍⑩✩⑤❻①❍♦
⑨
③❄✈
➁❊⑨

⑤✫❹✗③❄✈❨♦ ⑤☛⑩❁❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①❨♦▼③❄✈✕①❍✉✢s✙③t❽✩s✙③❄✈❨③t⑩✗①✏⑤
⑧
③❄q❄♦r✈❍♦r✉✞⑩
➀
⑤✔❢❻③ts✍✡ ✈✛⑥❇③❄❷▼♦r③❀✇❝✈
➁
⑤✗⑩
⑧
❆◆✈①q❂✷★qs✈①q❋♦✌♣✹①❍✉❲s❦③t❽✩s✙③❄✈❍③t⑩☛① ⑤
⑧
③❄q❄♦▼✈❨♦▼✉◆⑩
➀
⑤✔❢✲③ts✍✡ ✈✕❽✩s✙③❀✇❝③ts✙③t⑩◆q❄③❄✈❅❞❺✏③❄q❄♦r✈❍♦r✉✞⑩ ①❋⑥◆③❄✉✞s✙❹⑥✩⑤✲✈✕③❄✈❍✈❍③t⑩☛①❍♦ ⑤✲❷r❷r❹
✉✞⑩◆③✢s✝❝◆❷r③★✄✛✆■❧✩✤◗q✩✆■q✖✘✡♦➂♦✥✤✽✖ ♦❅✿❅✈①♦
✱
❆☞✈①q✾✷★q❋✈①♥ ❺❴♥➌❙➆
➀
❞
❶
⑥◆♦r✈ s✝❝◆❷r③❄✈ ✈❋⑤✫❹◆✈✹①❋⑥✩⑤✲①
➁
❸✗♦
⑨
③t⑩★⑤❈✈❍③❄①✹✉✲✇
➀
❝◆①✩❝✩⑤✲❷r❷r❹
③✡❤◆q❄❷ ❝◆✈❨♦
⑨
③ ⑤☛⑩
⑧

③✡❤✩⑥✩⑤✔❝◆✈❍①❍♦
⑨
③✕⑤✲❷r①❍③ts❍⑩✩⑤✲①❍♦
⑨
③❄✈
➁
⑤
⑧
③❄q❄♦r✈❍♦r✉✞⑩
➀
⑤✔❢✲③ts④✈❀⑥◆✉☞❝◆❷
⑧
❺
❽❅➀
⑤✲✈❍✈❍♦r❸✞⑩❈⑤✉❝◆①❍♦r❷r♦▼①✙❹❈①❍✉ ③
⑨
③ts✙❹
❽✩✉☛✈❍✈❍♦✾⑥◆❷r③ ✉☞❝◆①❍q❄✉
➀
③✹✉✲✇❜③
⑨
③ts✙❹✬❽❇✉✗✈❍✈❍♦✾⑥◆❷r③ ⑤✲❷r①❍③ts❍⑩✩⑤❻①❍♦
⑨
③
➁
❺
➇✔➀
⑤✲✈❍✈❨♦▼❸◆⑩ ❺
⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩

➀
❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①❍♦r③❄✈✕①❍✉ ③
⑨
③ts✙❹
❽✩✉☛✈❍✈❍♦✾⑥◆❷r③✹✉☞❝◆①❍q❄✉
➀
③ ❸☛♦
⑨
③t⑩ ③
⑨
③ts❦❹ ❽✩✉✗✈❨✈❍♦✾⑥◆❷▼③✕⑤✲❷r①❍③ts❍⑩✩⑤✲①❨♦
⑨
③
➁
⑤✗⑩
⑧
❺
✁✔➀
q❄⑥◆✉◆✉✗✈❍③✐①❋⑥◆③❥⑤❻❷▼①❨③ts❍⑩✩⑤✲①❍♦
⑨
③✏①❋⑥✩⑤❻①
➀
⑤✯❤✚❷
♦
➀
♦★➏❄③❄✈✹⑥◆♦r✈✏③✡❤ ❽❇③❄q❄①❍③
⑧
❝◆①❍♦r❷r♦r①✌❹✔❞
 
③

⑨
③ts❍⑤✲❷❜s✙③❄✈❍③t⑤☛s✙q◗⑥◆③ts❦✈❥⑥✩⑤
⑨
③✏✈❋⑥◆✉✯❣ ⑩ ①❋⑥✩⑤✲①✘①❀⑥◆♦▼✈✹s✹❝◆❷▼③ ✇❝✉✗❷r❷r✉◗❣ ✈✘✇❑s✙✉
➀
✈❨③❄①❍✈
✉✲✇❜q❄✉
➀
❽❇③❄❷▼❷r♦ ⑩◆❸✬⑤✯❤◆♦r✉
➀
✈●❺❴③✔❞ ❸▼❞
➁◆⑨
✉✞⑩✏⑦ ③❅❝
➀
⑤✗⑩✩⑩❈⑤✗⑩
⑧
♥♣✉✞s✙❸✗③t⑩◆✈❍①❨③ts❍⑩
❽✫➂✯➅
✄
❾❉ 
⑤
⑨
⑤✲❸☛③
➁☎❽t➂✗➆✯➅◆➀
❞
❡ ⑩✹❽✩s❍⑤❻q❄①❍♦rq❄③
➁✲⑧
③❄q❄♦▼✈❨♦▼✉◆⑩
➀
⑤✔❢✗♦ ⑩◆❸✂❝✩⑩

⑧
③ts✴❝✩⑩◆q❄③ts❦①❋⑤✲♦ ⑩✗①✙❹✏qt⑤✗⑩✂⑥❇③✘⑤
⑧
♦➋➎ q❅❝◆❷r①❜①❋⑤✲✈✩❢❲❞☎❡❑⑩ ✇❑⑤✲q❄①
➁
s✙③❄✈❨③t⑤✗s✙q❄⑥◆③ts✙✈
⑥✩⑤
⑨
③✕✈❋⑥◆✉✯❣ ⑩❈①❋⑥✩⑤✲①✹❽❇③❄✉✞❽◆❷r③ ✉✲✇❝①❍③t⑩
⑨
♦r✉✗❷ ⑤✲①❍③ ①❋⑥◆③ ♥➌❙➆ s✝❝◆❷r③➉❺
❶④⑨
③ts❦✈✩❢✗❹✬⑤☛⑩
⑧✫✪
⑤✗⑥✩⑩◆③
➀
⑤✗⑩
❽t➂
✄
➅☞➀
❞
❶
⑥◆③
➅
⑧
③
⑨
♦ ⑤❻①❍♦r✉✞⑩◆✈❥⑤☛s✙③✹✈❍✉ ✈❍♦r❸✞⑩◆♦➋❹✖qt⑤✗⑩✗①✏⑤✗⑩
⑧
❽✩s✙③

⑧
♦rq❄①❋⑤✔⑥◆❷r③✕①❋⑥✩⑤✲①✘✈❍✉
➀
③✹s✙③❄✈❍③t⑤✗s❦q◗⑥◆③ts✙✈✐⑥✩⑤
⑨
③✏q❄✉
➀
③✹①❨✉ s❦③✁ ✌③❄q❄①✐①❋⑥◆③
s✝❝◆❷r③ ❺
✪
⑤✗⑥✩⑩◆③
➀
⑤✗⑩ ③❄① ⑤✲❷①❞
➁❈❽t➂✗➄✗➇✔➀
❞❲♥ ⑤✗⑩☛❹ ✉✗①❀⑥◆③ts s✙③❄✈❍③t⑤✗s❦q◗⑥◆③ts✙✈
➁
⑥◆✉✯❣④③
⑨
③ts
➁
⑤☛s✙❸☞❝◆③✢①❋⑥✩⑤✲① ①❋⑥◆③✬⑤✯❤◆♦▼✉
➀
✈
❝◆✈❍③
⑧
①❍✉
⑧
③ts❦♦
⑨
③ ①❋⑥◆③✹♥➌❖➆ s✝❝◆❷r③ ⑤☛s✙③✹①❍✉◆✉ q❄✉

➀
❽✩③❄❷r❷r♦ ⑩◆❸✬①❍✉✢s✙③✁ ✙③❄q❄①
➁
⑤✗⑩
⑧
⑤✗s❦❸☞❝◆③✏✇✭❝✩s✙①❋⑥◆③ts ①❋⑥✩⑤✲①✏❽✩③❄✉✞❽◆❷r③★✡ ✈
⑧
③
⑨
♦ ⑤❻①❍♦r✉✞⑩◆✈④✇❑s✙✉
➀
①❀⑥◆③ s✝❝◆❷r③
➀
⑤✔❢✲③ ①❋⑥◆③❦❝◆✈❨③ ✉✲✇
⑧
③❄q❄♦r✈❍♦r✉✞⑩✚❷❑①❋⑥◆③❄✉◆s✙③❄①❍♦rq✹q❄✉✞⑩◆q❄③t❽◆①❨✈✆⑤☛⑩
⑧
s✙③t❽✩s❦③❄✈❍③t⑩✗①❀⑤✲①❍♦r✉✞⑩◆✈✘⑤✲❷r❷
①❋⑥◆③
➀
✉◆s✙③✏♦
➀
❽✩✉✞s❦①❋⑤✗⑩☛①●❺①❼ ✉◗❣✘⑤✗s
⑧➉❽t➂☛➂✗➅✔➀
❞▲❡❴✇❜①❋⑥◆③ts✙③★✡ ✈ ⑤☛⑩✗❹
⑧
✉☞❝❃⑥◆①
➁
①❀⑥◆♦▼✈✏⑤✔❝◆①❋⑥◆✉◆s ⑥✩⑤❻✈✘①❋⑥◆③✹❷ ⑤✲①❨①❍③ts
⑨

♦r③✡❣❭❞
✂ ✎✛✑ ✓✕✌ ✖❆❵ ✑❈❱☎✄ ✌✷❳✝✆ ❩❇❨✟✞✍✖
⑦
✖❆③✰② ✶ ✷★♦✌✆
✱
②❭✆■❧✔qst➂❺❴✉✞s❃❆☞t❲q❂❁✣♦❅③✹♣r♦
➀
♦r✈✠  ❝◆✈❍①✘⑤ ✈❍③❄①④✉✲✇
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈❅❞
⑦❻⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣ ✉◆s✝❢ ♦▼✈✘⑤
➀
✉
⑧
③❄❷✖✉✲✇
①❋⑥◆③✏❺①❝◆✈✩❝✩⑤✲❷r❷r❹➂❝✩⑩◆q❄③ts✙①❋⑤✲♦ ⑩
➀
s✙③❄❷ ⑤✲①❍♦r✉✞⑩◆✈❋⑥◆♦ ❽◆✈✹⑤
➀
✉✞⑩◆❸
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈✏♦ ⑩❈⑤
⑧
✉
➀
⑤❻♦ ⑩❊❞ ♥♣✉✞s✙③✹❽✩s✙③❄q❄♦r✈❍③❄❷r❹
➁
❸✗♦
⑨

③t⑩❈⑤
⑧
✉
➀
⑤❻♦ ⑩ ✉✲✇
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈☛✡
✔✌☞
✚ ✡▲☞☛✏✎✏☛✏✽☞❵✚✒✑✎✍
➁
①❋⑥◆③ ✽r②✔qst▼✈▼✖❆③✰② ✶✝❧✼✶✡q✾✷✙qs✈①♥
✱
q✾♣✡✈①③✟q ✶ ❆☞✈①qs②✔t❃✴r②✔③✏✡ ♦r✈✮⑤✏❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✉
⑨
③ts✎⑤✲❷r❷✩①❋⑥◆③④✈❍①❋⑤✲①❍③❄✈✎✉✲✇✠✡●❞
⑦ ⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩✕⑩◆③❄①✰❣④✉✞s✝❢ ✇❝✉✞s✑✡✜s✙③t❽✩s✙③❄✈❍③t⑩☛①❍✈✮⑤✒ ✙✉✗♦ ⑩✗①✮❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇✵✉✞s✓✡●❞
❶
⑥◆③❅s❦③t❽✩s✙③❄✈❍③t⑩☛①❋⑤✲①❍♦r✉✞⑩ q❄✉✞⑩◆✈❍♦r✈❍①❍✈ ✉✲✇✄⑤✷✈❍③❄① ✉❻✇✹❷▼✉◆qt⑤✲❷✐q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷✹❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈
➁
q❄✉
➀

⑥◆♦ ⑩◆③
⑧
❣ ♦▼①❀⑥✢⑤✹✈❨③❄①✘✉✲✇✥⑤✲✈❨✈❍③ts✙①❍♦r✉✞⑩◆✈④✉✲✇❜q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷❡♦ ⑩
⑧
③t❽❇③t⑩
⑧
③t⑩◆q❄③ ①❋⑥✩⑤✲①✘⑤✲❷r❷r✉✯❣ ✉✞⑩◆③
①❍✉ q❄✉◆⑩◆✈❍①❋s✝❝◆q❄①④①❋⑥◆③ ❸✗❷r✉☞⑥✩⑤✲❷✎ ✙✉✗♦ ⑩✗①
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇❑s✙✉
➀
①❋⑥◆③✏❷r✉✞qt⑤✲❷
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈✣❞
❶
✉✏♦r❷r❷ ❝◆✈❨①❋s❍⑤✲①❍③✐①❋⑥◆③✘s✙③t❽✩s✙③❄✈❨③t⑩✗①❋⑤❻①❍♦r✉✞⑩
➁
❷r③❄①✐❝◆✈ q❄✉✞⑩◆✈❍♦
⑧
③ts ①❋⑥◆③
⑧
✉
➀
⑤✲♦ ⑩✕✉❻✇ ①❀s✙✉☞❝❃⑥◆❷r③❄✈❋⑥◆✉◆✉✗①❍♦ ⑩◆❸✄⑤✐qt⑤✗s ①❋⑥✩⑤✲①
❣④✉✞⑩ ✡ ①✘✈❨①❋⑤✗s✙①❅❞
❶
⑥◆③✗❹ s✙✈❍①✏✈❍①❨③t❽✢♦ ⑩♣q❄✉✞⑩◆✈❍①❀s✝❝◆q❄①❍♦ ⑩◆❸✬⑤
⑨

⑤✫❹✗③❄✈❍♦ ⑤✗⑩♣⑩◆③❄①✰❣④✉✞s✝❢ ♦r✈✏①❍✉
⑧
③❄q❄♦
⑧
③✿❣ ⑥✩⑤✲①
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③❄✈
⑤✗⑩
⑧
✈❨①❋⑤✲①❍③❄✈✏①❍✉
➀
✉
⑧
③❄❷①❞
❾
⑩◆③ ❽❇✉✗✈❍✈❍♦✾⑥◆❷r③ q◗⑥◆✉✗♦rq❄③ ✉✲✇
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈ ✇✵✉◆s✏①❋⑥◆♦r✈
⑧
✉
➀
⑤✲♦ ⑩♣♦r✈✿❥♠❧✚✈①✈①♦❅③✟♥➂❺✕✔
➀
❣✘♦r①❋⑥
✈❍①❋⑤❻①❍③❄✈④❸✗✉✞✉
⑧
⑤✗⑩
⑧
⑥✩⑤
⑧❡➁✗✖

❆◆♦❇✷❆❺✙✘
➀
❣✘♦r①❋⑥ ✈❨①❋⑤✲①❍③❄✈✘⑩◆✉✗①✘③
➀
❽◆①✌❹ ⑤✗⑩
⑧
③
➀
❽◆①✙❹
➁✑✚
❧✟❆✸✲☞♦■❺✜✛
➀
❣✘♦r①❋⑥ ✈❍①❋⑤❻①❍③❄✈✘⑩◆✉✗①
③
➀
❽◆①✙❹✢⑤✗⑩
⑧
③
➀
❽◆①✙❹
➁✣✢
❆◆③✟t✥✤✥❁❅♦✣③❭❺✧✦
➀
❣✘♦r①❋⑥✢✈❍①❀⑤✲①❍③❄✈④❹✗③❄✈ ⑤✗⑩
⑧
⑩◆✉
➁
⑤✗⑩
⑧✩★
✈①❧✔③✟✈❙❺✕✪

➀
❣✘♦r①❋⑥✢✈❨①❋⑤✲①❍③❄✈✘❹☛③❄✈ ⑤✗⑩
⑧
⑩◆✉▼❞
❾
✇❡q❄✉☞❝✩s✙✈❍③
➁
❣④③④q❄✉☞❝◆❷
⑧
♦ ⑩◆q❄❷✾❝
⑧
③
➀
⑤☛⑩✗❹
➀
✉✞s✙③
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈❛❺ ⑤✲✈✴❣④③✑❣④✉☞❝◆❷
⑧
♦ ⑩ ⑤✏s❦③t⑤✲❷➋❷✭❣ ✉◆s✙❷
⑧
③✡❤ ⑤
➀
❽◆❷r③
➀
❞
⑦
❷▼✈❨✉
➁
❣④③ q❄✉☞❝◆❷

⑧❅➀
✉
⑧
③❄❷✎①❋⑥◆③✹✈❨①❋⑤✲①❍③❄✈✐✉✲✇❜✉✞⑩◆③✕✉✞s
➀
✉✞s❦③✹✉✲✇✮①❋⑥◆③❄✈❨③
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈✹⑤✲①❥⑤ ❹ ⑩◆③ts ❷▼③
⑨
③❄❷❜✉✲✇
⑧
③❄①❀⑤✲♦r❷➁❞
➇✖✉◆s✘③✡❤✩⑤
➀
❽◆❷r③
➁
❣④③✏q❄✉☞❝◆❷
⑧
❷r③❄①
✚
❧ ❆❇✲◆♦❭⑥✩③ ⑤ q❄✉✞⑩✗①❨♦ ⑩◆❝◆✉☞❝◆✈
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③■❣✘♦r①❋⑥❈✈❍①❋⑤✲①❍③❄✈✐s❍⑤✗⑩◆❸✗♦ ⑩◆❸ ✇ s✙✉
➀ ➅✬✫
①❍✉
❽t➅✗➅✭✫
❞
❶
⑥◆③✄✈❨③❄q❄✉✞⑩
⑧

✈❨①❍③t❽❈♦ ⑩✷q❄✉✞⑩◆✈❍①❀s✝❝◆q❄①❍♦ ⑩◆❸❁⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢ ♦r✈✹①❍✉✢q❄✉✞⑩◆✈❨①❋s✝❝◆q❄①✹⑤
⑧
♦ s✙③❄q❄①❨③
⑧
⑤✲q❄❹◆q❄❷▼♦rq
❸✞s❍⑤☛❽✩⑥✏①❋⑥✩⑤✲①✎③t⑩◆q❄✉
⑧
③❄✈✮⑤✲✈❍✈❍③ts✙①❨♦▼✉◆⑩◆✈✠✉✲✇✖q❄✉◆⑩
⑧
♦▼①❨♦▼✉◆⑩✩⑤✲❷✖♦ ⑩
⑧
③t❽✩③t⑩
⑧
③t⑩◆q❄③✔❞④❿✷③✮qt⑤✲❷r❷✩①❋⑥◆♦r✈❜❸✞s❍⑤☛❽✩⑥✏①❋⑥◆③❇❥♠❧✚♥◗♦✌♣rqs❧✔t✒✦
t▼♦✣✈①✇✷②✔③✹④✏♣r✈①③❅❆ ✿✣✈✹❆☞③✰♦✯✮
✫
♦
⑨
③t⑩★⑤
⑧
✉
➀
⑤❻♦ ⑩✰✡
✔✱☞
✚
✡
☞✎✏☛✏✎✏✽☞❖✚
✑

✍
➁
❣④③ qt⑤☛⑩ ❣ s✙♦r①❍③ ①❋⑥◆③✲ ✙✉✗♦ ⑩✗① ❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈✉✲✇✳✡ ❝◆✈❨♦ ⑩◆❸ ①❋⑥◆③✏q❄⑥✩⑤✲♦ ⑩✬s✝❝◆❷r③ ✉✲✇ ❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹✬⑤✲✈✆✇✵✉✗❷r❷r✉✯❣✘✈✎✄
 
❺✯✚❩✡❆☞✎✏☛✏✎✏✽☞❖✚ ✑✓✁ ✄
➀✕✔
✑
✓
✔ ✕
✡
 
❺ ✚
✔
✁✾✚❩✡❆☞✎✏☛✏✎✏✽☞❖✚
✔✂✗
✡▲☞✘✄
➀
✏ ❺
❽❅➀
⑦ ✉◗❣
➁
✇✵✉✞s ③
⑨
③ts✙❹ ✚
✔
➁
①❋⑥◆③ts✙③❏❣✘♦r❷r❷❆⑥❇③✘✈❍✉
➀

③④✈✩❝❃⑥◆✈❨③❄①✣✴
✔✑✵
☞
✚
✡
☞☛✏✎✏☛✏✽☞❵✚
✑
✍ ✈✟❝◆q◗⑥✕①❀⑥✩⑤✲①✬✚
✔
⑤✗⑩
⑧✶☞
✚
✡
☞✎✏☛✏✎✏✽☞❖✚
✑
✍
⑤✗s✙③✏q❄✉◆⑩
⑧
♦▼①❨♦▼✉◆⑩✩⑤✲❷r❷▼❹❈♦ ⑩
⑧
③t❽✩③t⑩
⑧
③t⑩☛①✹❸✗♦
⑨
③t⑩✷✴
✔
❞
❶
⑥✩⑤✲①④♦r✈
➁

 
❺✯✚
✔
✁✾✚❩✡✌☞☛✏✎✏☛✏◗☞❖✚
✔✂✗
✡✌☞✍✄
➀❴✔
 
❺✯✚
✔
✁✸✴
✔
☞✍✄
➀
❺
➇✔➀
❶
⑥◆③❄✈❍③✏q❄✉◆⑩
⑧
♦▼①❨♦▼✉◆⑩✩⑤✲❷✠♦ ⑩
⑧
③t❽❇③t⑩
⑧
③t⑩◆q❄♦ ③❄✈
⑧
③✟❹ ⑩◆③ ①❋⑥◆③
⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩✚❷✌⑩◆③❄①✰❣ ✉◆s✝❢ ✈❨①❋s✝❝◆q❄①✩❝✩s✙③✔❞
❶
⑥◆③✹⑩◆✉

⑧
③❄✈✐♦ ⑩ ①❋⑥◆③
➆
Battery
Fuel
Gauge
Turn Over
Start
p(b=bad | ξ) = 0.02
p(f=empty | ξ) = 0.05
p(g=empty | b=good, f=not empty,ξ) = 0.04
p(g=empty | b=good, f=empty,ξ) = 0.97
p(g=empty | b=bad, f=not empty,ξ) = 0.10
p(g=empty | b=bad, f=empty,ξ) = 0.99
p(t=no | b=good,ξ) = 0.03
p(t=no | b=bad,ξ) = 0.98
p(s=no | t=yes, f=not empty,ξ) = 0.01
p(s=no | t=yes, f=empty ,ξ) = 0.92
p(s=no | t=no, f=not empty ,ξ) = 1.0
p(s=no | t=no, f=empty ,ξ) = 1.0
➇❜♦r❸☞❝✩s✙③
❽
✄
⑦ ⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩✚❷✌⑩◆③❄①✰❣④✉✞s✝❢ ✇❝✉✞s✘①❀s✙✉☞❝❃⑥◆❷r③❄✈❋⑥◆✉◆✉✗①❍♦ ⑩◆❸❁⑤ qt⑤✗s✐①❋⑥✩⑤✲①❈❣④✉✞⑩ ✡ ①✘✈❨①❋⑤✗s✙①❅❞
⑦
s✙q❄✈✹⑤✗s✙③
⑧
s❍⑤✣❣ ⑩
✇❑s✙✉

➀
qt⑤✚❝◆✈❍③✘①❍✉ ③✟➃ ③❄q❄①✣❞
❶
⑥◆③ ❷r✉◆qt⑤✲❷ ❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩☎❺❴✈
➀
⑤✲✈❨✈❍✉✞q❄♦ ⑤✲①❨③
⑧
❣✘♦r①❋⑥ ⑤✹⑩◆✉
⑧
③❥⑤✗s❦③✘✈❋⑥◆✉✯❣ ⑩
⑤
⑧
 ❍⑤✲q❄③t⑩☛①✘①❍✉✕①❋⑥◆③✄⑩◆✉
⑧
③✔❞
✈❍①❋s✹❝◆q❄①✩❝✩s✙③✕q❄✉✞s❍s✙③❄✈❀❽✩✉✞⑩
⑧
①❨✉
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈✕♦ ⑩♣①❋⑥◆③
⑧
✉
➀
⑤✲♦ ⑩❊❞
❶
⑥◆③ ❽✩⑤✗s✙③t⑩☛①❍✈✏✉✲✇★✚
✔
q❄✉✞s❍s✙③❄✈❀❽✩✉✞⑩

⑧
①❨✉✢①❋⑥◆③✕✈❍③❄①
✴
✔
❞
❡ ⑩❈✉☞❝✩s✐③✡❤ ⑤
➀
❽◆❷r③
➁
❝◆✈❍♦ ⑩◆❸✬①❀⑥◆③✄✉◆s
⑧
③ts✙♦ ⑩◆❸ ✔
➁
✘
➁
✛
➁
✦
➁
⑤✗⑩
⑧
✪
➁
❣④③ ⑥✩⑤
⑨
③✕①❋⑥◆③✕q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤❻❷✮♦ ⑩
⑧
③t❽✩③t⑩✚❷

⑧
③t⑩◆q❄♦r③❄✈
 
❺✙✘✬✁ ✔✗☞✍✄
➀❀✔
 
❺✙✘✬✁ ✄
➀
 
❺✧✦▲✁ ✔✗☞ ✘❬☞✁✛❘☞✍✄
➀❩✔
 
❺✧✦❆✁✸✔✗☞✍✄
➀
 
❺✕✪✝✁✸✔✗☞ ✘❬☞✁✛❘☞✁✦❵☞✘✄
➀❩✔
 
❺✕✪✂✁✸✘❬☞ ✦❖☞✍✄
➀
❺
✁✔➀
❼④✉✞⑩◆✈❨③✡❜ ❝◆③t⑩☛①❍❷r❹
➁
❣④③✏✉☞⑥◆①❀⑤✲♦ ⑩ ①❋⑥◆③✏✈❍①❋s✝❝◆q❄①✟❝✩s✙③✏✈❋⑥◆✉✯❣ ⑩ ♦ ⑩✏➇❜♦r❸☞❝✩s✙③
❽
❞
❶
⑥◆③✉❹ ⑩✩⑤✲❷ ✈❍①❍③t❽✷♦ ⑩ q❄✉✞⑩◆✈❍①❋s✹❝◆q❄①❍♦ ⑩◆❸❲⑤
⑨

⑤✫❹✗③❄✈❨♦ ⑤☛⑩❲⑩◆③❄①✰❣④✉✞s✝❢♣♦r✈ ①❨✉❅⑤❻✈❍✈❍③❄✈❍✈✕①❋⑥◆③✢❷r✉◆qt⑤✲❷
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈
 
❺✯✚
✔
✁ ✴
✔
☞✘✄
➀
✑❙✉✞⑩◆③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈✇❝✉✞s ③
⑨
③ts✙❹❈✈❍①❋⑤✲①❍③ ✉✲✇ ✴
✔
❞
❶
⑥◆③❄✈❍③
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈ ✇✵✉◆s✘✉☞❝✩s✐⑤✔❝◆①❍✉
➀
✉☞⑥◆♦r❷r③
③✡❤✩⑤
➀
❽◆❷r③❁⑤✗s❦③ ✈❋⑥◆✉✯❣ ⑩★♦ ⑩ ➇❜♦▼❸◆❝✩s✙③
❽
❞❼④✉
➀
⑥◆♦ ⑩◆♦ ⑩◆❸ ➌❑❜ ❝✩⑤✲①❨♦▼✉◆⑩◆✈

❽
⑤✗⑩
⑧ ➇✩➁
❣ ③✢✈❨③❄③✢①❋⑥✩⑤✲① ⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩
⑩◆③❄①✰❣④✉✞s✝❢ ✇❝✉✞s ✡ ⑤✲❷★❣✆⑤✫❹◆✈④③t⑩◆q❄✉
⑧
③❄✈✐①❋⑥◆③☛ ✙✉✗♦ ⑩☛① ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇✵✉◆s ✡●❞
⑦ ⑧
s❍⑤✣❣✛⑥✩⑤✲q✡❢✕✉✲✇
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣ ✉◆s✝❢✗✈✘⑤✲✈
⑧
③✟❹ ⑩◆③
⑧
♦▼✈④①❋⑥✩⑤❻①✆⑩◆③❄①✰❣④✉✞s✝❢ ✈❍①❋s✝❝◆q❄①✩❝✩s❦③
⑧
③t❽❇③t⑩
⑧
✈ ✉✞⑩
⑨
⑤☛s✙♦➋❷
⑤✔⑥◆❷r③✬✉◆s
⑧
③ts✡❞ ❡✵✇❥①❀⑥◆③✢✉✞s
⑧
③ts ♦r✈ q◗⑥◆✉☛✈❍③t⑩★qt⑤✗s✙③❄❷r③❄✈❍✈❍❷r❹

➁
①❋⑥◆③✬s❦③❄✈✩❝◆❷r①❍♦ ⑩◆❸ ⑩◆③❄①✰❣④✉✞s✝❢♣✈❨①❋s✝❝◆q❄①✩❝✩s✙③
➀
⑤✫❹♣✇❑⑤✲♦r❷✘①❍✉
s✙③
⑨
③t⑤❻❷
➀
⑤✗⑩☛❹✢q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷✮♦ ⑩
⑧
③t❽❇③t⑩
⑧
③t⑩◆q❄♦ ③❄✈ ♦ ⑩ ①❀⑥◆③
⑧
✉
➀
⑤✲♦ ⑩❊❞
⑦
✈✄⑤☛⑩✬③✡❤◆③ts✙q❄♦r✈❍③
➁
①❋⑥◆③ s✙③t⑤
⑧
③ts✐✈❀⑥◆✉☞❝◆❷
⑧
q❄✉✞⑩◆✈❍①❀s✝❝◆q❄①✘⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢ ✇❝✉✞s❜①❀⑥◆③✹⑤✔❝◆①❍✉
➀

✉◆⑥◆♦▼❷r③✏①❋s❦✉☞❝❃⑥◆❷r③❄✈❋⑥◆✉✞✉☛①❍③ts
⑧
✉
➀
⑤✲♦ ⑩✏❝◆✈❍♦ ⑩◆❸ ①❋⑥◆③✏✉◆s
⑧
③ts✙♦ ⑩◆❸
❺✕✪ ☞ ✦❵☞ ✛ ☞ ✘ ☞ ✔
➀
❞▼➇✤✉✞s✙①✩❝✩⑩✩⑤✲①❨③❄❷▼❹
➁
♦ ⑩ ❽✩s❍⑤✲q❄①❍♦rq❄③
➁
❣④③④qt⑤✗⑩✕✉✲✇❝①❍③t⑩✕s✙③t⑤
⑧
♦r❷r❹ ⑤✲✈❍✈❨③ts✙①❜qt⑤✔❝◆✈❋⑤✲❷✖s❦③❄❷ ⑤❻①❍♦r✉✞⑩◆✈❋⑥◆♦ ❽◆✈✘⑤
➀
✉✞⑩◆❸
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈✏♦ ⑩❈⑤
⑧
✉
➀
⑤❻♦ ⑩
➁
⑤✗⑩
⑧
qt⑤✗⑩➂❝◆✈❨③✏①❋⑥◆③❄✈❍③✄⑤❻✈❍✈❍③ts✙①❍♦r✉✞⑩◆✈ ①❍✉ q❄✉✞⑩◆✈❍①❀s✝❝◆q❄① ⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩✚❷✌⑩◆③❄①✰❣④✉✞s✝❢✕✈❨①❋s✝❝◆q✟❷

①✩❝✩s✙③❏❣✘♦r①❋⑥◆✉◆❝◆①✮❽✩s✙③❄✉✞s
⑧
③ts✙♦ ⑩◆❸ ①❋⑥◆③
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈❅❞❙⑦✐⑤
➀
③❄❷r❹
➁
①❍✉✏q❄✉◆⑩◆✈❍①❋s✝❝◆q❄①❜⑤
⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣④✉✞s✝❢ ✇❝✉✞s❜⑤✘❸☛♦
⑨
③t⑩
✈❍③❄①④✉✲✇
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③❄✈
➁
❣④③
⑧
s❍⑤✣❣ ⑤☛s✙q❄✈ ✇ s✙✉
➀
qt⑤✚❝◆✈❍③
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③❄✈ ①❍✉✕①❋⑥◆③❄♦ s✘♦
➀ ➀
③
⑧
♦ ⑤✲①❨③✏③✟➃ ③❄q❄①❨✈❅❞❙❡❑⑩✢⑤❻❷
➀
✉✗✈❍①✘⑤✲❷r❷

✏
qt⑤✲✈❍③❄✈
➁✩⑧
✉✗♦ ⑩◆❸ ✈❨✉ s✙③❄✈✟❝◆❷▼①❨✈ ♦ ⑩✬⑤
⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩✬⑩◆③❄①✰❣④✉✞s✝❢❫❣ ⑥◆✉✗✈❍③✏q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤❻❷ ❷❑♦ ⑩
⑧
③t❽✤③t⑩
⑧
③✾⑩◆q❄③ ♦
➀
❽◆❷r♦rqt⑤✲①❍♦r✉✞⑩◆✈
⑤✗s✙③ ⑤✲q❄q❅❝✩s❍⑤✲①❍③✔❞❫➇✖✉✞s✐③✡❤✩⑤
➀
❽◆❷r③
➁
①❀⑥◆③ ⑩◆③❄①✰❣ ✉◆s✝❢✢♦ ⑩❘➇❜♦▼❸◆❝✩s✙③
❽
❣✘⑤✲✈✏q❄✉◆⑩◆✈❍①❋s✝❝◆q❄①❍③
⑧
❝◆✈❍♦ ⑩◆❸❁①❀⑥◆③ ⑤✲✈❍✈❍③ts❦①❍♦r✉✞⑩◆✈
①❋⑥✩⑤✲①
✚
❧ ❆❇✲◆♦✹♦r✈✹①❀⑥◆③
⑧
♦ s✙③❄q❄①✹qt⑤✔❝◆✈❀⑤✲❷❜③✟➃❡③❄q❄①✏✉✲✇✂❥♠❧✚✈①✈①♦❅③✟♥ ⑤✗⑩
⑧ ✖
❆☞♦✸✷

➁ ✢
❆◆③✩t ✤✥❁❅♦✣③✘♦r✈✕①❋⑥◆③
⑧
♦ s✙③❄q❄①✕qt⑤✔❝◆✈❋⑤✲❷
③✟➃❡③❄q❄①✘✉✲✇❏❥✑❧✔✈①✈①♦❅③✟♥
➁
⑤✗⑩
⑧ ★
✈①❧✚③✩✈ ♦▼✈ ①❋⑥◆③
⑧
♦ s✙③❄q❄①✐qt⑤✔❝◆✈❋⑤✲❷❪③✟➃❡③❄q❄①✘✉✲✇
✢
❆◆③✩t✩✤✥❁❅♦❅③④⑤✗⑩
⑧✩✖
❆◆♦❇✷★❞
⑨
③❄qt⑤✔❝◆✈❨③✹⑤
⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩✢⑩◆③❄①✰❣ ✉◆s✝❢ ✇❝✉✞s④⑤✗⑩✗❹
⑧
✉
➀
⑤❻♦ ⑩
⑧
③❄①❨③ts
➀
♦ ⑩◆③❄✈❥⑤  ✌✉✗♦ ⑩☛① ❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩
✇❝✉✞s❜①❋⑥✩⑤❻①

⑧
✉
➀
⑤❻♦ ⑩
➁
❣④③✐qt⑤✗⑩ ✑❙♦ ⑩✢❽✩s✙♦ ⑩◆q❄♦ ❽◆❷r③❖✑ ❝◆✈❍③ ⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✤❣④✉✞s✹❢✹①❨✉✹q❄✉
➀
❽❃❝◆①❨③❥⑤✗⑩☛❹ ❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
✉✲✇✮♦ ⑩☛①❍③ts✙③❄✈❍①❅❞❏➇✤✉✞s④③✡❤✩⑤
➀
❽◆❷r③
➁
✈✩❝✩❽✩❽❇✉✗✈❍③■❣④③❭❣✘⑤✗⑩☛①✘①❍✉ q❄✉
➀
❽❃❝◆①❍③✹①❋⑥◆③✕❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹
⑧
♦r✈❍①❀s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈✉✲✇
✖
❆☞♦✸✷
❸✗♦
⑨
③t⑩ ①❋⑥✩⑤✲①④①❋⑥◆③✏qt⑤✗s
⑧
✉◆③❄✈❋⑩ ✡ ① ✈❍①❋⑤✗s✙①✣❞✴➇❪s✙✉
➀
①❀⑥◆③✹s✝❝◆❷r③❄✈ ✉✲✇✮❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹✏❣④③✹⑥✩⑤
⑨
③

 
❺✙✘✬✁ ✪
✔
⑩◆✉ ☞✘✄
➀✕✔
 
❺✕✘❬☞ ✪
✔
⑩◆✉❩✁ ✄
➀
 
❺✕✪
✔
⑩◆✉✓✁ ✄
➀
✔
✢
 ✂✁ ✄☎✁ ✆
 
❺✕✔✗☞ ✘ ☞ ✛ ☞ ✦❵☞ ✪
✔
⑩◆✉✓✁ ✄
➀
✢
 ✂✁ ✝✞✁ ✄☎✁ ✆
 
❺✕✔✗☞ ✘❬☞✁✛❘☞ ✦❖☞ ✪
✔
⑩◆✉❩✁ ✄
➀

❺
➅☞➀
❡❑⑩★⑤✢s✙③t⑤✲❷➋❷✭❣④✉✞s✙❷
⑧
❽✩s✙✉☞⑥◆❷r③
➀
❣✘♦r①❋⑥✠✟
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈
➁
①❋⑥◆♦r✈ ⑤✗❽✩❽✩s✙✉◆⑤✲q◗⑥❅♦▼✈✕⑩◆✉✗①✏✇❝③t⑤✲✈❍♦✾⑥◆❷r③
➁
⑥❇③❄qt⑤✔❝◆✈❍③ ♦▼① ③t⑩✗①❀⑤✲♦r❷▼✈
✈✩❝
➀ ➀
♦ ⑩◆❸ ✉
⑨
③ts
➇
✑
✉✞s
➀
✉✞s✙③④①❍③ts
➀
✈❅❞☎➇✤✉✞s✙①✩❝✩⑩✩⑤❻①❍③❄❷r❹
➁
❣ ③④qt⑤✗⑩ ③✡❤ ❽◆❷r✉✗♦r①✮①❀⑥◆③ q❄✉◆⑩
⑧
♦▼①❨♦▼✉◆⑩✩⑤✲❷✖♦ ⑩
⑧

③t❽✩③t⑩
⑧
③t⑩◆q❄♦ ③❄✈
③t⑩◆q❄✉
⑧
③
⑧
♦ ⑩✢⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣ ✉◆s✝❢ ①❍✉
➀
⑤✚❢✲③ ①❀⑥◆♦▼✈ q❄✉
➀
❽❃❝◆①❋⑤✲①❨♦▼✉◆⑩
➀
✉◆s✙③✘③✟➎ q❄♦r③t⑩☛①❅❞❙❡❑⑩ ①❀⑥◆♦▼✈ qt⑤✲✈❍③
➁
❸☛♦
⑨
③t⑩
①❋⑥◆③✏q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤❻❷✠♦ ⑩
⑧
③t❽✩③t⑩
⑧
③t⑩◆q❄♦ ③❄✈✹♦ ⑩➂➌❑❜ ❝✩⑤✲①❨♦▼✉◆⑩
✁✩➁
➌✷❜❃❝✩⑤✲①❍♦r✉✞⑩
➅

⑥✩③❄q❄✉
➀
③❄✈
 
❺✕✘✕✁✸✪
✔
⑩◆✉ ☞✍✄
➀✕✔
 
❺✙✘✬✁ ✄
➀
✢
 
 
❺✕✔❭✁ ✄
➀
✢
✆
 
❺✕✪
✔
⑩◆✉ ✁ ✦❖☞ ✘❬☞✍✄
➀
 
❺✧✦❆✁✸✔✗☞✍✄
➀
✢
✄
 
❺✜✛❀✁✸✔✗☞ ✘❬☞✍✄

➀
✢
✝
 
❺✕✘✕✁ ✄
➀
✢
 
 
❺✕✔❭✁ ✄
➀
✢
✆
 
❺✕✪
✔
⑩◆✉✓✁ ✦❖☞ ✘❬☞✍✄
➀
 
❺ ✦▲✁✸✔✗☞✘✄
➀
✢
✄
 
❺✜✛❀✁✸✔✗☞ ✘❬☞✍✄
➀
❺
➆✔➀
❶
⑥✩⑤✲①④♦r✈

➁
q❄✉◆⑩
⑧
♦▼①❨♦▼✉◆⑩✩⑤✲❷✠♦ ⑩
⑧
③t❽❇③t⑩
⑧
③t⑩◆q❄③ ❽✩s✙✉
⑧
❝◆q❄③❄✈ ⑤
⑧
③❄q❄✉
➀
❽❇✉✗✈❍♦r①❍♦r✉✞⑩ ✉✲✇✠①❋⑥◆③✳ ✙✉✗♦ ⑩✗①✐❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹
⑧
♦r✈❍①❀s✙♦➋❷
⑥❃❝◆①❍♦r✉✞⑩ ①❋⑥✩⑤✲①❡qt⑤✗⑩✗⑥✩③✑❝◆✈❍③
⑧
♦ ⑩ q❄✉✞⑩  ✝❝✩⑩◆q❄①❍♦r✉✞⑩✗❣✘♦r①❋⑥✏①❋⑥◆③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦
⑨
③④❷ ⑤✣❣❲①❍✉✐s✙③
⑧
❝◆q❄③✮①❋⑥◆③
⑧
♦
➀
③t⑩◆✈❍♦r✉✞⑩✩⑤✲❷r♦r①✙❹
✉✲✇❜①❋⑥◆③✏q❄✉

➀
❽❃❝◆①❀⑤✲①❍♦r✉✞⑩◆✈❅❞
❶
⑥◆③ ❸✗③t⑩◆③ts❨⑤✲❷✘❽✩s✙✉☞⑥◆❷r③
➀
✉✲✇ q❄✉
➀
❽❃❝◆①❨♦ ⑩◆❸★❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①❍♦r③❄✈ ✉✲✇✐♦ ⑩☛①❍③ts✙③❄✈❨①✹✇❑s✙✉
➀
⑤ ❺❝❽✩✉✗✈❨✈❍♦✾⑥◆❷▼❹♦
➀
❽◆❷r♦rq❄♦r①
➀
 ✙✉✗♦ ⑩✗①④❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ♦r✈ qt⑤❻❷▼❷r③
⑧
✖❆③✰② ✶✹❧ ✶✌q❂✷★q ♣r✈①q✾✿✂q❋t ✴r♦✣③✰♦❅t ✿✟♦❅❞
⑦
❷r❷❪③✡❤ ⑤✲q❄①④⑤✲❷r❸✗✉✞s✙♦r①❋⑥
➀
✈✮✇❝✉✞s ❽✩s✙✉☞⑥✚❷
⑤✔⑥◆♦r❷r♦r✈❍①❍♦rq ♦ ⑩☛✇❝③ts✙③t⑩◆q❄③✘♦ ⑩
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✤❣④✉✞s✹❢✗✈✎③✡❤ ❽◆❷r✉✗♦r①❜q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤❻❷✖♦ ⑩
⑧
③t❽✩③t⑩
⑧

③t⑩◆q❄③✹s✙✉◆❝◆❸✞⑥◆❷r❹✄⑤✲✈▲❣④③ ⑥✩⑤
⑨
③
⑧
③❄✈❍qts✙♦✾⑥❇③
⑧❡➁
⑤✲❷r①❋⑥◆✉☞❝◆❸✞⑥✗❣✘♦r①❋⑥
⑧
♦ ➃❡③ts✙③t⑩☛①✮①✰❣✘♦r✈❍①❨✈❅❞☎➇✤✉✞s✎③✡❤ ⑤
➀
❽◆❷r③
➁
❼ ✉◗❣✘⑤✗s
⑧
⑤☛⑩
⑧
♥ ⑤✲①❀⑥◆③❄✈❍✉✞⑩✏❺
❽t➂✗➄➄❽❅➀❄➁✲❾
❷
➀
❷
✈❍①❍③
⑧
❺
❽t➂☛➄✟✁✔➀④➁
⑤✗⑩
⑧✻ 
⑥✩⑤✲q❄⑥✗①❨③ts❦❺
❽t➂✗➄✗➄✔➀✎⑧
③

⑨
③❄❷▼✉◆❽✩③
⑧
⑤☛⑩ ⑤✲❷r❸✗✉◆s✙♦r①❋⑥
➀
①❋⑥✩⑤✲① s❦③
⑨
③ts✙✈❍③❄✈✘⑤✗s✙q❄✈④♦ ⑩ ①❋⑥◆③✏⑩◆③❄①✰❣ ✉◆s✝❢
✈❍①❋s✹❝◆q❄①✩❝✩s✙③✺❝✩⑩☛①❍♦r❷④①❋⑥◆③ ⑤☛⑩◆✈✝❣④③ts✏①❍✉❈①❋⑥◆③ ❸✗♦
⑨
③t⑩★❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r✈❍①❍♦rq➂❜❃❝◆③ts✙❹ qt⑤☛⑩⑥✩③✬s✙③t⑤
⑧ ⑧
♦ s✙③❄q❄①❍❷r❹ ✇❑s✙✉
➀
①❋⑥◆③
❸✞s❍⑤☛❽✩⑥❊❞✼❡ ⑩✕①❋⑥◆♦r✈✘⑤✲❷r❸✗✉✞s✙♦r①❋⑥
➀ ➁
③t⑤✲q◗⑥ ⑤✗s✙q s✙③
⑨
③ts✙✈❋⑤✲❷✩q❄✉✞s❨s✙③❄✈❋❽✩✉◆⑩
⑧
✈✮①❍✉✹⑤✗⑩ ⑤✗❽✩❽◆❷r♦▼qt⑤❻①❍♦r✉✞⑩ ✉❻✇
⑨
⑤✫❹✗③❄✈✎✡✲①❀⑥◆③❄✉✞s✙③
➀
❞
❿
③t⑤✗s✙❷☎❺
❽t➂☛➄❭✏✔➀ ⑧
③

⑨
③❄❷r✉✞❽✩③
⑧
⑤
➀
③❄✈❍✈❋⑤❻❸✗③✟❷✌❽✩⑤✲✈❍✈❍♦ ⑩◆❸✏✈❍q❄⑥◆③
➀
③✘①❀⑥✩⑤✲①❙❝✩❽
⑧
⑤✲①❨③❄✈❜①❋⑥◆③ ❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈
✇❝✉✞s✘③t⑤❻q◗⑥♣⑩◆✉
⑧
③✄♦ ⑩ ⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩♣⑩◆③❄①✰❣ ✉◆s✝❢ ♦ ⑩ s❦③❄✈❋❽✩✉✞⑩◆✈❨③✄①❨✉ ✉☞⑥◆✈❨③ts
⑨
⑤✲①❨♦▼✉◆⑩◆✈✏✉✲✇✮✉✞⑩◆③✕✉✞s
➀
✉✞s✙③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈❅❞
➍❡⑤✔❝✩s❦♦▼①✹➏❄③t⑩✬⑤✗⑩
⑧☎ 
❽◆♦r③❄❸✗③❄❷ ⑥✩⑤✲❷r①❍③ts✉❺
❽t➂✗➄☛➄✔➀
qts✙③t⑤❻①❍③
⑧
⑤☛⑩✢⑤✲❷r❸✗✉✞s✙♦r①❋⑥

➀
①❋⑥✩⑤✲①❖❹ s✙✈❨① ①❀s❍⑤✗⑩◆✈✙✇❝✉✞s
➀
✈ ①❋⑥◆③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩
⑩◆③❄①✰❣④✉✞s✝❢♣♦ ⑩☛①❍✉❲⑤♣①❋s❦③❄③✏❣ ⑥◆③ts✙③✢③t⑤✲q❄⑥❙⑩◆✉
⑧
③✢♦ ⑩①❋⑥◆③❈①❋s✙③❄③✢q❄✉✞s❍s❦③❄✈❋❽✩✉✞⑩
⑧
✈ ①❍✉❲⑤♣✈✩❝❃⑥◆✈❨③❄① ✉✲✇
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈ ♦ ⑩
①❋⑥◆③
⑧
✉
➀
⑤✲♦ ⑩❊❞
❶
⑥◆③✢⑤✲❷r❸✗✉✞s✙♦r①❋⑥
➀
①❋⑥◆③t⑩★③✡❤ ❽◆❷r✉✗♦r①❍✈✕✈❍③
⑨
③ts❍⑤✲❷
➀
⑤✲①❋⑥◆③
➀
⑤✲①❨♦▼qt⑤❻❷ ❽✩s✙✉✞❽❇③ts✙①❍♦r③❄✈ ✉✲✇✘①❋⑥◆♦r✈✕①❋s✙③❄③ ①❍✉
❽✩③ts✌✇✵✉✞s
➀

❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r✈❍①❍♦rq ♦ ⑩☛✇❝③ts✙③t⑩◆q❄③✔❞✕♥♣✉✗✈❍①✏s✙③❄q❄③t⑩☛①❍❷r❹
➁
❺ ✡
⑦✏➀
⑥✩s✙✉✗✈❍♦r✉❺
❽t➂✗➂❃❽✣➀④⑧
③
⑨
③❄❷r✉✞❽✩③
⑧
⑤✗⑩❈♦ ⑩☛✇❝③ts✙③t⑩◆q❄③
⑤✲❷r❸✗✉✞s❦♦▼①❀⑥
➀
①❀⑥✩⑤✲①✕✈❍♦
➀
❽◆❷r♦ ❹✖③❄✈✢✈✟❝
➀
✈ ⑤✗⑩
⑧
❽✩s✙✉
⑧
❝◆q❄①❍✈✕✈❍❹
➀
⑥❇✉✗❷r♦▼qt⑤❻❷▼❷r❹
➁
⑤✲✈✕♦ ⑩★①❀⑥◆③✢①❋s❍⑤✗⑩◆✈✙✇❝✉✞s
➀
⑤✲①❍♦r✉✞⑩❈✇❑s✙✉
➀
➌✷❜❃❝✩⑤✲①❍♦r✉✞⑩

➅
①❍✉✺➌✷❜❃❝✩⑤✲①❍♦r✉✞⑩
➆
❞
⑦
❷r①❋⑥◆✉☞❝◆❸✞⑥❛❣④③❜qt⑤✗⑩✐③✡❤ ❽◆❷r✉✗♦r①✮⑤✲✈❨✈❍③ts✙①❍♦r✉✞⑩◆✈❡✉❻✇ q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤❻❷✞♦ ⑩
⑧
③t❽✩③t⑩
⑧
③t⑩◆q✫③✘♦ ⑩✹⑤
⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩✏⑩◆③❄①✰❣ ✉◆s✝❢④✇❝✉✞s
❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r✈❍①❍♦rq④♦ ⑩☛✇✵③ts❦③t⑩◆q❄③
➁
③✡❤✩⑤✲q❄①❡♦ ⑩☛✇✵③ts❦③t⑩◆q❄③ ♦ ⑩ ⑤✗⑩✏⑤✗s✝⑥◆♦r①❋s❍⑤☛s✙❹
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩✹⑩◆③❄①✰❣④✉✞s✝❢✆♦▼✈▲⑦
❿
❷✌⑥✩⑤✗s
⑧
❺ ❼④✉✞✉◆❽✩③ts
➁
✄
Battery
Fuel
Start
before d
d

Start
after d
u
➇❜♦r❸☞❝✩s✙③
➇
✄
⑦
♦ ⑩ ✦❆❝◆③t⑩◆q❄③
⑧
♦ ⑤✲❸◆s❍⑤
➀
❺❴✈❍①❋s✝❝◆q❄①✟❝✩s✙③
➀
✇❝✉✞s✘⑤
⑧
③❄q❄♦▼✈❨♦▼✉◆⑩♣✉✲✇✷❣ ⑥◆③❄①❋⑥◆③ts ①❍✉ q❄⑥✩⑤✗⑩◆❸✗③ ①❋⑥◆③●⑥✩⑤❻①❍①❍③ts✙❹
➁
❸✗③❄①④✇✭❝◆③❄❷
➁
✉◆s
⑧
✉ ⑩◆✉✗①❋⑥◆♦ ⑩◆❸▼❞
❶
⑥◆③ ✈✝❜ ❝✩⑤☛s✙③✹⑩◆✉
⑧
③
 
s❦③t❽✩s✙③❄✈❍③t⑩☛①❍✈✘✉☞❝✩s✘⑤❻❷▼①❨③ts❍⑩✩⑤✲①❍♦
⑨
③❄✈❅❞

❶
⑥◆③
⑧
♦ ⑤
➀
✉◆⑩
⑧
⑩◆✉
⑧
③
✁
s✙③t❽✩s✙③❄✈❍③t⑩☛①❍✈✐✉☞❝✩s❈❝◆①❍♦r❷▼♦r①❍♦r③❄✈ ✉✲✇ ⑤✲❷r❷✠①❀⑥◆③✄❽✩✉☛✈❍✈❍♦✾⑥◆❷r③ ✉☞❝◆①❍q❄✉
➀
③❄✈❅❞
❶
⑥◆③
⑧
✉☞❝❃⑥◆❷r③✟❷❑❷r♦ ⑩◆③✢⑤✗s✙q ✇ s❦✉
➀ ★
✈①❧✔③✟✈❡①❍✉
 
s✙③t❽✩s✙③❄✈❨③t⑩✗①❍✈④①❋⑥◆③✏⑤✲✈❍✈❨③ts✙①❍♦r✉✞⑩ ①❋⑥✩⑤✲①❙❣④③✛❢◆⑩◆✉✯❣⑩❣ ⑥◆③❄①❋⑥◆③ts ✉✞s✮⑩◆✉☛① ①❀⑥◆③ qt⑤✗s ✈❍①❋⑤✗s❦①❍✈❙❣ ⑥◆③t⑩❫❣④③
➀
⑤✔❢✲③
⑧
③❄q❄♦r✈❍♦r✉✞⑩
 
❞
❽t➂✗➂☛➅✔➀
❞❏➌

⑨
③t⑩❈⑤✗❽✩❽✩s✙✉✯❤✞♦
➀
⑤❻①❍③✹♦ ⑩☛✇❝③ts✙③t⑩◆q❄③➂❺ ✇✵✉◆s✘③✡❤✩⑤
➀
❽◆❷r③
➁
❝◆✈❍♦ ⑩◆❸✢♥❁✉◆⑩✗①❍③✟❷✌❼ ⑤✗s✙❷r✉
➀
③❄①❋⑥◆✉
⑧
✈
➀
♦r✈❭⑦
❿
❷✌⑥✩⑤✗s
⑧
❺❴❺✹⑤✲❸◆❝
➀
⑤☛⑩
⑧
➍☎❝❃⑥☛❹
➁✴❽✫➂✗➂✯➅☞➀
❞❑➇✖✉✞s
➀
⑤✗⑩✗❹✢⑤✗❽✩❽◆❷r♦rqt⑤✲①❍♦r✉✞⑩◆✈
➁
⑥◆✉✯❣④③
⑨
③ts

➁
①❋⑥◆③✕⑩◆③❄①✰❣ ✉◆s✝❢✗✈✘⑤✗s❦③✏✈
➀
⑤✲❷r❷✎③t⑩◆✉☞❝◆❸✞⑥
❺❴✉✞s qt⑤✗⑩ ⑥✩③✕✈❍♦
➀
❽◆❷r♦➋❹✖③
⑧
✈✩❝✚➎ q❄♦r③t⑩✗①❨❷▼❹
➀
✈❍✉ ①❋⑥✩⑤✲①✐①❋⑥◆③❄✈❍③✕q❄✉
➀
❽◆❷r③✡❤◆♦r①✌❹♣s✙③❄✈✩❝◆❷r①❍✈✹⑤✗s❦③✄⑩◆✉✗① ✇ ⑤❻①❋⑤✲❷①❞✑➇✤✉✞s✘①❀⑥◆✉✗✈❍③
⑤✗❽✩❽◆❷r♦rqt⑤✲①❍♦r✉✞⑩◆✈✂❣ ⑥◆③ts❦③✏①❋⑥◆③●❝◆✈✩❝✩⑤❻❷❡♦ ⑩☛✇✵③ts✙③t⑩◆q❄③
➀
③❄①❀⑥◆✉
⑧
✈ ⑤☛s✙③✏♦
➀
❽✩s❍⑤✲q❄①❍♦rqt⑤✲❷
➁
s✙③❄✈❍③t⑤✗s❦q◗⑥◆③ts✙✈✐⑤✗s✙③
⑧
③
⑨
③❄❷r✉✞❽◆♦ ⑩◆❸
①❍③❄q❄⑥✩⑩◆♦★❜ ❝◆③❄✈♣①❋⑥✩⑤✲①✢⑤✗s✙③♣q❅❝◆✈❍①❨✉
➀
①❋⑤✲♦r❷r✉✞s✙③
⑧

①❨✉❙❽✩⑤✗s✙①❍♦rq❅❝◆❷ ⑤✗s✬⑩◆③❄①✰❣④✉✞s✝❢★①❨✉✞❽✩✉✗❷r✉✗❸☛♦▼③❄✈➈❺①❼ ③❄qr❢✲③ts
➀
⑤✗⑩
❽✫➂✗➄✗➂❃❾
 
❝◆③ts
➀
✉◆⑩
⑧
①✄⑤✗⑩
⑧
❼✆✉✞✉✞❽❇③ts
➁❙❽✫➂✗➂❃❽❅➀❄➁
✉✞s✏❽✩⑤✗s❦①❍♦rq❅❝◆❷ ⑤☛s✏♦ ⑩☛✇✵③ts❦③t⑩◆q❄③✺❜❃❝◆③ts✙♦r③❄✈➂❺❝②✘⑤
➀
⑤
➀
❝✩s❦①❋⑥◆♦✥⑤☛⑩
⑧ ⑦
❸☛✉✗❸✗♦ ⑩◆✉
❽t➂✗➄☛➄❃❾❉ 
⑥✩⑤✲q◗⑥☛①❍③ts④③❄①✐⑤✲❷①❞
❽t➂✗➂✗➅➄❾
✩☛③t⑩◆✈❍③t⑩✬⑤✗⑩
⑧✢⑦
⑩
⑧
③ts✙✈❍③t⑩
❽t➂✗➂✗➅✚➀
❞

❶
⑥◆③✛qst✄✂✥❆☞♦✣t ✿✟♦
✱
q❋❧ ✲☞③✰❧❭✆❣♦▼✈✮⑤☛⑩✏③✡❤◆①❍③t⑩◆✈❍♦r✉✞⑩ ✉✲✇✖①❋⑥◆③
⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩✚❷✌⑩◆③❄①✤❣④✉✞s✹❢ s✙③t❽✩s❦③❄✈❍③t⑩✗①❀⑤✲①❍♦r✉✞⑩ ①❍✉
⑧
③❄q❄♦r✈❍♦r✉✞⑩
❽✩s✙✉☞⑥◆❷r③
➀
✈✣❞❙➍❪♦✾❢✲③✘①❋⑥◆③
⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩ ⑩◆③❄①✰❣ ✉◆s✝❢
➁
⑤☛⑩✕♦ ⑩ ✦❆❝◆③t⑩◆q❄③
⑧
♦ ⑤❻❸✞s❍⑤
➀
q❄✉✞⑩✗①❀⑤✲♦ ⑩◆✈✮⑩◆✉
⑧
③❄✈✘s✙③t❽✩s✙③❄✈❨③t⑩✗①❍♦ ⑩◆❸■❝✩⑩✚❷
q❄③ts✙①❋⑤❻♦ ⑩
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈✄⑤✗⑩
⑧
⑤✗s✙q❄✈✏s✙③t❽✩s✙③❄✈❍③t⑩☛①❍♦ ⑩◆❸❁❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼✈❨①❍♦rq
⑧
③t❽✩③t⑩
⑧
③t⑩◆q❄③✔❞■❡❑⑩ ⑤☛⑩✢♦ ⑩ ✦❆❝◆③t⑩◆q❄③

⑧
♦ ⑤✲❸◆s❍⑤
➀✢➁
①❋⑥◆③❄✈❍③✐q❄✉✞⑩◆✈❍①❀s✝❝◆q❄①❍✈ ⑤☛s✙③✘qt⑤✲❷r❷r③
⑧
✿✍✁☞❧✚t ✿✟♦❭t▼②
✱
♦✡♣❜⑤✗⑩
⑧
③✤♦✸✷★♦❇❁❅❧✚t ✿✟♦✛❧✔③✵✿✌♣
➁
s✙③❄✈❋❽✩③❄q❄①❨♦
⑨
③❄❷▼❹✔❞✑❡ ⑩ ⑤
⑧✩⑧
♦▼①❨♦▼✉◆⑩
➁
♦ ⑩ ✦❆❝✚❷
③t⑩◆q❄③
⑧
♦ ⑤✲❸◆s❍⑤
➀
✈
➀
⑤✫❹ q❄✉✞⑩☛①❋⑤✲♦ ⑩
✱
♦❅✿❅q ♣✡q❋②✔t t▼②
✱
♦✡♣
➁

❣ ⑥◆♦rq❄⑥✬s✙③t❽✩s❦③❄✈❍③t⑩✗①
⑧
③❄q❄♦▼✈❨♦▼✉◆⑩
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈
➁
⑤☛⑩
⑧
⑤✲①
➀
✉✗✈❍①
✉✞⑩◆③✪❆☞✈①q✾✷★q❋✈①♥✿t▼②
✱
♦✡⑤❊❣ ⑥◆♦rq◗⑥♣s✙③t❽✩s❦③❄✈❍③t⑩✗①❨✈❥⑤
⑧
③❄q❄♦r✈❍♦r✉✞⑩
➀
⑤✚❢✲③ts✍✡ ✈ ❽✩s❦③❀✇✵③ts✙③t⑩◆q❄③❄✈✣❞
⑦
❷▼✈❨✉
➁
♦ ⑩ ✦❆❝◆③t⑩◆q❄③
⑧
♦ ⑤✲❸✞s❍⑤
➀
✈
➀
⑤✫❹✹q❄✉◆⑩✗①❋⑤❻♦ ⑩ q❋t ✴r②✔③❖✆■❧✔✈①qs②✔t✏❧✔③✵✿✡♣✟⑤❃❣ ⑥◆♦rq◗⑥ ♦ ⑩
⑧
♦▼qt⑤❻①❍③✛❣✐⑥✩⑤✲①❜♦r✈♠❢◆⑩◆✉✯❣ ⑩✕⑤✲①✮①❀⑥◆③✘①❍♦

➀
③ ⑤
⑧
③❄q❄♦r✈❍♦r✉✞⑩ ♦r✈
➀
⑤
⑧
③✔❞
➇✤✉✞s✏③✡❤✩⑤
➀
❽◆❷r③
➁
♦ ⑩★✉☞❝✩s ①❋s✙✉☞❝❃⑥◆❷r③❄✈❋⑥◆✉◆✉✗①❍♦ ⑩◆❸
⑧
✉
➀
⑤✲♦ ⑩
➁
✈✟❝✩❽✩❽✩✉✗✈❍③✏❣④③✢⑥✩⑤
⑨
③ ①❀⑥◆③ ✉✞❽◆①❨♦▼✉◆⑩◆✈✄①❨✉❅s❦③t❽◆❷ ⑤❻q❄③
①❋⑥◆③✺⑥✩⑤❻①❍①❍③ts✙❹
➁
❸✗③❄① ✇❁❝◆③❄❷ ✇✵✉◆s✐①❋⑥◆③ qt⑤✗s
➁
✉◆s
⑧
✉❁⑩◆✉☛①❋⑥◆♦ ⑩◆❸▼❞
⑦
⑩♣♦ ⑩ ✦❆❝◆③t⑩◆q❄③

⑧
♦ ⑤✲❸✞s❍⑤
➀
✇❝✉✞s ①❋⑥◆♦r✈
⑧
③❄q❄♦r✈❍♦r✉✞⑩✷♦▼✈
✈❋⑥◆✉✯❣ ⑩❈♦ ⑩ ➇❜♦r❸☞❝✩s✙③
➇
❞
❶
⑥◆③✕✈✝❜❃❝✩⑤✗s✙③ ⑩◆✉
⑧
③
 
♦r✈✹⑤
⑧
③❄q❄♦r✈❍♦r✉✞⑩❲⑩◆✉
⑧
③ ⑤✗⑩
⑧
s✙③t❽✩s❦③❄✈❍③t⑩✗①❨✈✏✉☞❝✩s✏⑤✲❷r①❍③ts❍⑩✩⑤✲①❨♦
⑨
③❄✈❅❞
❶
⑥◆③
⑧
♦ ⑤
➀
✉✞⑩
⑧

⑩◆✉
⑧
③
✁
♦r✈ ①❀⑥◆③●❝◆①❍♦r❷r♦r①✌❹ ⑩◆✉
⑧
③✔❞
❶
⑥◆③✕⑤✗s✙q❄✈✏❽✩✉✗♦ ⑩☛①❍♦ ⑩◆❸✢①❍✉ ①❋⑥◆③ q◗⑥✩⑤☛⑩◆q❄③ ❺✵✉
⑨
⑤✲❷
➀
⑩◆✉
⑧
③❄✈✏⑤✗s✙③
s✙③❄❷r③
⑨
⑤☛⑩◆q❄③✬⑤✗s✙q❄✈❅❞
❶
⑥◆③ ⑤✗s❦q ✇❑s✙✉
➀☎★
✈①❧✔③✟✈✮①❨✉
 
♦r✈ ⑤☛⑩ ♦ ⑩☛✇❝✉✞s
➀
⑤✲①❨♦▼✉◆⑩❲⑤✗s❦q✔❞➂❡❝①❍✈✕❽✩s✙③❄✈❍③t⑩◆q❄③✬⑤✲✈❨✈❍③ts✙①❍✈ ①❋⑥✩⑤✲①
➁
⑤✲① ①❀⑥◆③❁①❨♦
➀
③➂❣④③

➀
⑤✚❢✲③✬①❋⑥◆③
⑧
③❄q❄♦r✈❍♦r✉✞⑩
➁
❣ ③ ❢✞⑩◆✉✯❣ ❣✐⑥◆③❄①❋⑥◆③ts ✉◆s ⑩◆✉✗① ①❋⑥◆③❈qt⑤✗s ✈❨①❋⑤✗s✙①❍✈✣❞ ❡ ⑩❙❸☛③t⑩◆③ts❍⑤✲❷
➁
➄
“tails”“heads”
0 0.2 0.4 0.6 0.8 1
p(θ|ξ)
θ
(a) (b)
➇❜♦r❸☞❝✩s✙③
✁
✄■❺❝⑤
➀✏❶
⑥◆③✕✉☞❝◆①❍q❄✉
➀
③❄✈ ✉❻✇✆⑤ ①❋⑥◆❝
➀
⑥◆①❋⑤✲q✡❢✤✦✖♦ ❽❊❞✏❺①⑥
➀✐⑦
❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩♣✇❝✉✞s
 ✞➁
①❋⑥◆③
❽✩⑥☛❹✞✈❍♦rqt⑤✲❷✎❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹❈✉✲✇✮⑥◆③t⑤
⑧

✈❅❞
♦ ⑩☛✇✵✉◆s
➀
⑤✲①❍♦r✉✞⑩❈⑤✗s✙q❄✈ ❽❇✉✗♦ ⑩✗①✐✉✞⑩◆❷r❹✢①❍✉
⑧
③❄q❄♦r✈❍♦r✉✞⑩♣⑩◆✉
⑧
③❄✈
➁
❣ ⑥◆③ts✙③t⑤✲✈✏s✙③❄❷r③
⑨
⑤✗⑩◆q❄③ ⑤✗s❦q❄✈ ❽✩✉✗♦ ⑩☛① ✉◆⑩◆❷▼❹✢①❨✉ q◗⑥✩⑤☛⑩◆q❄③
⑩◆✉
⑧
③❄✈❅❞
✁ ✂☎✌ ✑❏❨▲❱❭❵✟❱☎✄ ✙➈❨☎❩✝✆✺✑✞✆●❵ ✜✝❵✰❳❆❵ ✌✗✖✠✟ ✡☞☛✍✌☛✡ ❱✍✌✌☞✎✍ ✑♠❨❶❵ ✑✏✆ ✜✘✌✒✑✒✑❃✖ ✌
⑨
③❄qt⑤✔❝◆✈❍③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩ ⑩◆③❄①✰❣ ✉◆s✝❢✗✈④⑥✩⑤
⑨
③❥⑤✕❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r✈❍①❨♦▼q ♦ ⑩✗①❍③ts❨❽✩s✙③❄①❋⑤✲①❍♦r✉✞⑩
➁
❣④③✐qt⑤✗⑩✺❝◆✈❨③✏①❋s❍⑤
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷❪①❍③❄q❄⑥✚❷
⑩◆♦★❜ ❝◆③❄✈✎✇❑s✙✉
➀ ⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩✏✈❨①❋⑤✲①❍♦r✈❍①❍♦rq❄✈✎①❍✉✐❷▼③t⑤☛s❍⑩✏①❋⑥◆③❄✈❨③
➀

✉
⑧
③❄❷r✈✎✇❑s✙✉
➀✜⑧
⑤✲①❀⑤❃❞❡❿ ③
⑧
♦r✈❍q❅❝◆✈❍✈❜①❋⑥◆③❄✈❍③④①❍③❄q❄⑥✩⑩◆♦★❜ ❝◆③❄✈
♦ ⑩❈①❋⑥◆③✄s✙③
➀
⑤✲♦ ⑩
⑧
③ts✐✉✲✇✮①❋⑥◆③✄❽✩⑤☛❽✩③ts✡❞
 
③
⑨
③ts❍⑤✲❷✎✉✲✇❜①❋⑥◆③✕①❍③❄q◗⑥✩⑩◆♦★❜❃❝◆③❄✈✏①❋⑥✩⑤✲①❈❣④③✹⑩◆③❄③
⑧
qt⑤☛⑩➉⑥❇③
⑧
♦r✈❍q❅❝◆✈❍✈❨③
⑧
♦ ⑩
①❋⑥◆③ q❄✉✞⑩✗①❨③✡❤✞①✘✉❻✇✥❷r③t⑤✗s❍⑩◆♦ ⑩◆❸✢①❋⑥◆③✕❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❅✉✲✇ ⑤ ✈❍♦ ⑩◆❸✗❷r③
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③✔❞❈❡❑⑩ ①❋⑥◆♦r✈ ✈❍③❄q❄①❨♦▼✉◆⑩
➁
❣④③
③✡❤✩⑤

➀
♦ ⑩◆③✹①❋⑥◆♦r✈✐qt⑤✲✈❍③✔❞
❼✆✉✞⑩◆✈❍♦
⑧
③ts④⑤✹q❄✉
➀ ➀
✉✞⑩ ①❋⑥◆❝
➀
⑥◆①❀⑤✲qr❢☛✑❙✉✞⑩◆③✑❣ ♦▼①❀⑥✢⑤✹s✙✉☞❝✩⑩
⑧❡➁
✦ ⑤✲①✘⑥◆③t⑤
⑧
①❋⑥✩⑤✲①④qt⑤✗⑩✿⑥✩③✐✇❝✉☞❝✩⑩
⑧
♦ ⑩
➀
✉✗✈❍①
✈✩❝✩❽❇③ts
➀
⑤✗s✝❢❻③❄①❍✈❅❞➈❡❴✇❭❣④③✢①❋⑥✩s✙✉✯❣ ①❋⑥◆③✢①❋⑥◆❝
➀
⑥◆①❋⑤✲q✡❢❝✩❽♦ ⑩ ①❋⑥◆③✬⑤✲♦ s ⑤✗⑩
⑧
❷▼③❄① ♦ ⑩ ❷ ⑤✗⑩
⑧
✉✞⑩⑤✷⑥✩⑤✗s
⑧❡➁
✦ ⑤✲①
✈✩❝✩s ✇❑⑤✲q❄③
➁

♦▼①✂❣ ♦▼❷r❷④q❄✉
➀
③✕①❍✉✬s❦③❄✈❍①✏③❄♦r①❋⑥◆③ts✏✉✞⑩❅♦▼①❨✈✹❽✩✉✗♦ ⑩☛① ❺ ✁☞♦✩❧
✱
♣
➀
✉✞s✐✉✞⑩❅♦▼①❨✈✹⑥◆③t⑤
⑧
❺✰✈①❧✔q✾✷➋♣
➀✼➁
⑤✲✈✏✈❋⑥◆✉✯❣ ⑩❈♦ ⑩
➇❜♦r❸☞❝✩s✙③
✁
⑤➄❞
✞
 
❝✩❽✩❽❇✉✗✈❍③✂❣④③✏❸✗♦
⑨
③✏①❋⑥◆③✐①❋⑥◆❝
➀
⑥◆①❋⑤✲q✡❢✕①❍✉✕✈❍✉
➀
③❄✉◆⑩◆③
➁
❣✐⑥◆✉ ①❋⑥◆③t⑩✯✦✖♦ ❽◆✈✐♦r①
➀
⑤✗⑩☛❹ ①❍♦
➀
③❄✈
➁

⑤✗⑩
⑧
➀
③t⑤✲✈✟❝✩s✙③❄✈✮①❋⑥◆③ ✇❑s❍⑤✲q❄①❍♦r✉✞⑩✕✉❻✇ ①❨♦
➀
③❄✈ ①❀⑥◆③✘①❋⑥◆❝
➀
⑥◆①❀⑤✲qr❢ q❄✉
➀
③❄✈✑❝✩❽ ⑥◆③t⑤
⑧
✈❅❞
⑦
✇ s✙③✡❜❃❝◆③t⑩☛①❍♦r✈❍①❏❣ ✉◆❝◆❷
⑧
✈❋⑤✫❹✕①❋⑥◆♦r✈
❷r✉✞⑩◆❸✯❷✌s✝❝✩⑩ ✇❑s❍⑤✲q❄①❍♦r✉✞⑩ ♦r✈✆⑤ ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹
➁
⑤✗⑩
⑧
❣ ✉◆❝◆❷
⑧
✉☞⑥◆✈❍③ts
⑨
③ ✦✖♦ ❽◆✈✘✉✲✇❡①❋⑥◆③✐①❋⑥◆❝
➀
⑥◆①❀⑤✲qr❢ ①❍✉✹③❄✈❨①❍♦
➀
⑤✲①❍③✐①❋⑥◆♦r✈
❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹✔❞✐❡ ⑩✢q❄✉✞⑩☛①❋s❍⑤❻✈❍①

➁
✇❑s✙✉
➀
①❋⑥◆③
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩✢❽❇③ts✙✈❋❽❇③❄q❄①❍♦
⑨
③
➁
❣④③✹s✙③❄q❄✉☛❸✞⑩◆♦★➏❄③✹①❋⑥◆③✹❽❇✉✗✈❍✈❍♦✾⑥◆❷r③
⑨
⑤✲❷✾❝◆③❄✈ ✉✲✇
①❋⑥◆♦r✈ ✇ s❨⑤✲q❄①❍♦r✉✞⑩ ⑤✲✈✕⑤
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❖✑❙qt⑤✲❷r❷✘♦r①
 
✑⑧❣ ⑥◆✉✗✈❍③ ①❋s✝❝◆③
⑨
⑤❻❷ ❝◆③ ♦r✈✉❝✩⑩◆q❄③ts✙①❋⑤✲♦ ⑩❊❞❈❿ ③ qt⑤☛⑩♣③✡❤ ❽✩s❦③❄✈❍✈✕✉☞❝✩s
❝✩⑩◆q❄③ts✙①❋⑤❻♦ ⑩☛①✙❹✬⑤✔⑥✩✉◆❝◆①
 
❣ ♦▼①❀⑥✬⑤ ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩
 
❺
 
✁ ✄
➀❄➁
⑤✗⑩

⑧
❝✩❽
⑧
⑤✲①❍③✕①❋⑥◆♦r✈
⑧
♦r✈❍①❀s✙♦✾⑥❃❝◆①❍♦r✉✞⑩♣⑤✲✈
❣④③✏✉☞⑥◆✈❍③ts
⑨
③✢✦✖♦ ❽◆✈✐✉✲✇❜①❋⑥◆③✏①❋⑥◆❝
➀
⑥◆①❋⑤✲q✡❢▼❞
❿✷③ ⑩◆✉☛①❍③✕①❋⑥✩⑤✲①
➁
⑤✲❷r①❋⑥◆✉☞❝◆❸✞⑥
  ⑧
✉✞③❄✈✹⑩◆✉✗①✹s❦③t❽✩s✙③❄✈❍③t⑩☛①✹⑤
⑧
③❄❸✞s✙③❄③✕✉✲✇♠⑥❇③❄❷r♦▼③❀✇
➁
q❄✉✗❷r❷r③❄q❄①❍♦r✉✞⑩◆✈ ✉✲✇ ❷r✉✞⑩◆❸✯❷✌s✹❝✩⑩
✇❑s❍⑤✲q❄①❍♦r✉✞⑩◆✈ ❷▼♦✾❢✲③
 
✈❋⑤✲①❨♦▼✈❦✇✵❹✕①❋⑥◆③ s✹❝◆❷▼③❄✈ ✉✲✇✠❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹✔❞❙❡❑⑩ ①❋⑥◆♦r✈ ❽✩⑤✗❽❇③ts
➁
❣④③ ✈❀⑥✩⑤✲❷r❷ s✙③❀✇❝③ts❜①❍✉
 
⑤❻✈ ⑤❄✖ ✁☞♥✣♣rq✾✿✩❧ ✷
✓✕✔❩✰✌✼❃✿❴✱✕✖❆✻❵◆❞❯✌❁❃✱❢✼❃✿❀✺✯✻✹❡❆✱✳✲✝✗ ❈✳✸❵◆✙✘❴✸✛✚❩✻✹❈✳❙✵●✢✜✕✣✥✤✧✦❆❑❲❨
➂
x

m
θ
x
2
x
1
. . .
➇❜♦r❸☞❝✩s✙③
➅
✄
⑦⑧⑨
⑤✫❹✗③❄✈❨♦ ⑤☛⑩✚❷✌⑩◆③❄①✤❣④✉✞s✹❢✐✈❍①❋s✝❝◆q❄①✩❝✩s❦③
⑧
③t❽◆♦rq❄①❍♦ ⑩◆❸ ①❋⑥◆③④q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷✩♦ ⑩
⑧
③t❽✩③t⑩
⑧
③t⑩◆q❄♦ ③❄✈✐⑤✲✈❍✈❍✉◆q❄♦ ⑤✲①❍③
⑧
❣✘♦r①❋⑥❈⑤●⑥◆♦ ⑩◆✉
➀
♦ ⑤❻❷✠✈❋⑤
➀
❽◆❷r③✔❞
✖❆③✰② ✶✹❧ ✶✡q✾✷★q❋✈①♥■❺❝⑤✫✇❝①❍③ts
✫
✉✞✉
⑧❡➁❊❽t➂✗➆✗➂✚➀

①❍✉
⑧
♦r✈❍①❍♦ ⑩◆❸☞❝◆♦r✈❋⑥ ♦▼①✆✇ s✙✉
➀
⑤
⑧
③❄❸✞s❦③❄③ ✉✲✇✷⑥✩③❄❷r♦r③❀✇ ❞
 
➇❜♦r❸☞❝✩s✙③
✁
✈❋⑥◆✉✯❣✘✈④✉✞⑩◆③
❽✩✉☛✈❍✈❍♦✾⑥◆❷r③ ❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩✢✇❝✉✞s
 
❞
⑦ ✉✯❣ ✈✩❝✩❽✩❽❇✉✗✈❍③■❣④③✏✉☞⑥◆✈❍③ts
⑨
③✂✁
✔ ☞
✚❩✡❆☞✎✏☛✏✎✏✽☞❖✚☎✄✲✍
➁
①❋⑥◆③✹✉☞❝◆①❨q❄✉
➀
③❄✈✘✉✲✇✝✆ ✦✖♦ ❽◆✈✏✉✲✇✥①❀⑥◆③✹①❋⑥◆❝
➀
⑥◆①❋⑤✲q✡❢▼❞
❿ ③✘✈❨✉
➀
③❄①❍♦

➀
③❄✈④s✙③❀✇✵③ts ①❍✉✏①❋⑥◆♦r✈✮✈❨③❄①✮✉✲✇❪✉☞⑥◆✈❍③ts
⑨
⑤✲①❍♦r✉✞⑩◆✈ ⑤❻✈ ⑤
✱
❧✔✈①❧✼✶✝❧✯♣✡♦ ✮❖❡❴✇☎❣④③✛❢◆⑩◆③✡❣❙①❋⑥◆③
⑨
⑤✲❷✾❝◆③✐✉✲✇
 ◆➁
①❋⑥◆③t⑩
✉☞❝✩s✏❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹❈✇✵✉◆s ⑥◆③t⑤
⑧
✈✏✉◆⑩❁⑤☛⑩✗❹ ✦✖♦ ❽➊❣ ✉◆❝◆❷
⑧
⑥❇③ ③✡❜ ❝✩⑤❻❷✠①❍✉
 ◆➁
⑩◆✉
➀
⑤❻①❍①❍③ts✐⑥◆✉◗❣
➀
⑤✗⑩☛❹✢✉☞❝◆①❍q❄✉
➀
③❄✈
❣④③✏✉☞⑥◆✈❍③ts
⑨
③✔❞
❶
⑥✩⑤✲①④♦r✈
➁
 

❺✯✚✟✞
✔✡✠
✬☞☛
 
✪✂✁✾✚
✡
☞✎✏✎✏☛✏✽☞❵✚✌✞
✗
✡
☞✍✁ ☞✍✄
➀❘✔  
❺
✏✔➀
❣ ⑥◆③ts✙③✵✚
✞
♦r✈✘①❀⑥◆③✹✉☞❝◆①❍q❄✉
➀
③ ✉❻✇✥①❋⑥◆③✏✎❴①❀⑥✤✦✖♦ ❽ ✉✲✇❜①❋⑥◆③✏①❋⑥◆❝
➀
⑥◆①❀⑤✲qr❢❲❞
 
♦
➀
♦r❷ ⑤☛s✙❷r❹
➁
❣ ③✹⑥✩⑤
⑨
③
 
❺✯✚

✞
✔
✦✑☛✓✒✔✎✕✪✝✁✾✚❩✡❆☞✎✏☛✏✎✏✽☞❖✚
✞
✗
✡❆☞✍✁ ☞✍✄
➀❴✔ ❽✖✕  
❺✹✄
➀
❡❑⑩❈❽✩⑤✗s✙①❍♦rq❅❝◆❷ ⑤✗s
➁
①❋⑥◆③✹✉☞❝◆①❨q❄✉
➀
③❄✈ ⑤✗s❦③
➀
❝◆①✩❝✩⑤✲❷r❷r❹✢♦ ⑩
⑧
③t❽✩③t⑩
⑧
③t⑩☛①
➁
❸☛♦
⑨
③t⑩
 
❞ ❿ ③✏qt⑤✗⑩❈s✙③t❽✩s✙③❄✈❍③t⑩☛①✘①❋⑥◆♦r✈✐q❄✉✞⑩✚❷
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷✎♦ ⑩
⑧
③t❽✩③t⑩

⑧
③t⑩◆q❄③ ⑤✲✈❨✈❍③ts✙①❍♦r✉✞⑩✏❝◆✈❍♦ ⑩◆❸✢⑤
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩✚❷✌⑩◆③❄①✰❣④✉✞s✝❢✕✈❍①❀s✝❝◆q❄①✩❝✩s✙③
➁
⑤❻✈✘✈❋⑥◆✉✯❣ ⑩ ♦ ⑩✏➇❜♦r❸☞❝✩s✙③
➅
❞
❡ ⑩✢s✙③t⑤✲❷r♦r①✙❹
➁
❣④③✏⑤✗s✙③✂❝✩⑩◆q❄③ts✙①❋⑤✲♦ ⑩❈⑤✔⑥✩✉☞❝◆①④①❋⑥◆③
⑨
⑤✲❷✾❝◆③✏✉✲✇
 
❞❙❡ ⑩ ①❋⑥◆♦r✈✘qt⑤✲✈❍③
➁
❣④③ qt⑤☛⑩✏❝◆✈❍③✏①❋⑥◆③✐③✡❤ ❽✩⑤✗⑩◆✈❨♦▼✉◆⑩
s✝❝◆❷r③✹①❨✉
⑧
③❄①❍③ts
➀
♦ ⑩◆③ ✉☞❝✩s✘❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹✢①❋⑥✩⑤✲①✘①❀⑥◆③✹⑩◆③✡❤✞①✘①❨✉✗✈❍✈✘✉✲✇✎①❋⑥◆③✹①❋⑥◆❝
➀
⑥◆①❋⑤✲q✡❢■❣✘♦r❷r❷✠q❄✉
➀
③❭❝✩❽✬⑥◆③t⑤
⑧
✈☛✄
 
❺✯✚

✔✗✠
✬✘☛
 
✪✂✁ ✄
➀❞✔✗✙
 
❺✯✚
✔✗✠
✬☞☛
 
✪✝✁
 
☞✍✄
➀
 
❺
 
✁ ✄
➀    ✤✔✗✙  
 
❺
 
✁ ✄
➀    ✛✚✗✜
❺
 
✁ ✄
➀
❣ ⑥◆③ts✙③
✜

❺
 
✁ ✄
➀✎⑧
③t⑩◆✉☛①❍③❄✈✮①❋⑥◆③ ③✡❤ ❽❇③❄q❄①❋⑤✲①❍♦r✉✞⑩ ✉✲✇
 
❸✗♦
⑨
③t⑩❚✄▼❞
❶
⑥✩⑤✲① ♦▼✈
➁
✉☞❝✩s ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹ ✇✵✉✞s ⑥◆③t⑤
⑧
✈✮✉◆⑩✕①❋⑥◆③
⑩◆③✡❤◆①✮①❍✉✗✈❨✈❜♦▼✈   ❝◆✈❨①✮①❋⑥◆③④③✡❤✩❽✩③❄q❄①❋⑤✲①❨♦▼✉◆⑩ ✉✲✇
 
❞✷➇❆❝✩s✙①❀⑥◆③ts
➀
✉✞s✙③
➁
✈✟❝✩❽✩❽✩✉✗✈❍③❈❣④③ ✦✖♦ ❽ ①❋⑥◆③✘①❀⑥☞❝
➀
⑥◆①❋⑤✲q✡❢✏✉◆⑩◆q❄③ ⑤✗⑩
⑧
✉☞⑥◆✈❍③ts
⑨
③✹⑥◆③t⑤
⑧
✈❅❞❙➆ ✈❍♦ ⑩◆❸

⑨
⑤✫❹✗③❄✈☛✡✞①❀⑥◆③❄✉✞s✙③
➀✢➁
①❀⑥◆③✹❽✩✉✗✈❍①❨③ts✙♦r✉✞s✘❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩✢✇❝✉✞s
 
⑥❇③❄q❄✉
➀
③❄✈
 
❺
 
✁✾✚
✔✢✠
✬☞☛
 
✪ ☞✍✄
➀✕✔✌☞
 
❺ ✚
✔✗✠
✬✘☛
 
✪✂✁
 
☞✘✄
➀
 
❺

 
✁ ✄
➀✕✔✌☞  
 
❺
 
✁ ✄
➀
❣ ⑥◆③ts✙③
☞
♦r✈✏✈❍✉
➀
③ ⑩◆✉✞s
➀
⑤✲❷r♦✙➏t⑤❻①❍♦r✉✞⑩♣q❄✉✞⑩◆✈❍①❀⑤✗⑩✗①✣❞
❶
⑥✩⑤✲①✏♦r✈
➁
❣ ③✕✉☞⑥◆①❀⑤✲♦ ⑩♣①❋⑥◆③ ❽✩✉✗✈❨①❍③ts✙♦r✉✞s
⑧
♦r✈❍①❀s✙♦✾⑥❃❝◆①❍♦r✉✞⑩♣✇❝✉✞s
 
⑥☛❹
➀
❝◆❷▼①❨♦ ❽◆❷r❹◆♦ ⑩◆❸ ♦r①❍✈✄❽✩s✙♦r✉✞s
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩➈⑥✗❹♣①❋⑥◆③✕✇✭❝✩⑩◆q❄①❍♦r✉✞⑩ ✘✷❺
 ✯➀✤✔  
⑤✗⑩
⑧

s✙③t⑩◆✉✞s
➀
⑤❻❷▼♦★➏❄♦ ⑩◆❸▼❞
❶
⑥◆♦▼✈
✣✕✔❩✰✠✱✕❇✽✻✹❈✯✼❃✻✹❉✌❁❃✱✥✤❞✼❃✿❀✻✹❁❃✿✯✸❈✳✱ ✗❍✱✳❈✯❈✳✱✍❙❄✺✯✸✻❵✿❘✻ ✗ ❈✳✱✧✦❖❅✠✱❲✲✠✶✍❂❖❊✗✸✽❉☞★✯✱✍✶✍✺✩✼❃❇❵✱❢❯✌❈✳✸✹❉✠✻✹❉✌✼✾❁✾✼ ✺❳❂❖❊✂✻✹✲✠❙✤✺✩❈✯❅✗✱❴❯✌❈✳✸✹❉✠✻✹❉✌✼✾❁✾✼ ✺❳❂❖❨
❽t➅
0 0.2 0.4 0.6 0.8 1
0 0.2 0.4 0.6 0.8 1
x →
p(θ|ξ)
θ
p(θ|heads,ξ)
θ
0 0.2 0.4 0.6 0.8 1
θ
➇❜♦r❸☞❝✩s✙③
➆
✄
⑦
❸◆s❍⑤✗❽✩⑥◆♦rqt⑤✲❷
⑧
③t❽◆♦rq❄①❍♦r✉✞⑩✜✉❻✇❥①❋⑥◆③ ❝◆✈❍③✬✉❻✇
⑨
⑤✫❹✗③❄✈☛✡❜①❋⑥◆③❄✉✞s✙③
➀
①❍✉ q❄✉
➀
❽❃❝◆①❨③✬①❋⑥◆③♣❽✩✉✗✈❍①❨③ts✙♦r✉✞s
❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹

⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈✉✲✇❜①❋⑥◆③✹❽✩⑥☛❹✞✈❍♦rqt⑤✲❷❜❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
 
❞
❽✩s✙✉◆q❄③
⑧
❝✩s✙③ ♦r✈
⑧
③t❽◆♦rq❄①❍③
⑧
❸✞s❨⑤✗❽✩⑥◆♦rqt⑤✲❷r❷▼❹♣♦ ⑩ ➇❜♦r❸☞❝✩s✙③
➆
❞
⑦
✈✏③✡❤ ❽❇③❄q❄①❍③
⑧❡➁
①❀⑥◆③✄❽✩✉☛✈❍①❍③ts✙♦r✉✞s✐♦r✈✏✈❋⑥◆♦ ✇❝①❍③
⑧
①❍✉ ①❋⑥◆③
s✙♦r❸✞⑥☛① ⑤✗⑩
⑧
♦r✈✐✈❍❷r♦▼❸◆⑥✗①❍❷r❹✬⑩✩⑤✗s❨s✙✉✯❣ ③ts✌❞
 
♦
➀
♦r❷ ⑤✗s✙❷r❹
➁
♦ ✇❙❣④③✏✉☞⑥◆✈❍③ts
⑨
③✹⑤✹✈❨♦ ⑩◆❸☛❷▼③✕①❋⑤❻♦▼❷r✈

➁
❣ ③✏✉◆⑥◆①❋⑤✲♦ ⑩
 
❺
 
✁✾✚
✔
✦✑☛✓✒✔✎✕✪❭☞✘✄
➀✕✔✌☞
❺
❽✖✕  ✯➀
 
❺
 
✁ ✄
➀
❡❑⑩ ❸✗③t⑩◆③ts❍⑤✲❷
➁
♦ ✇❙❣④③✏✉☞⑥◆✈❍③ts
⑨
③
✠
⑥◆③t⑤
⑧
✈✏⑤✗⑩
⑧
✦④①❋⑤✲♦r❷r✈✘♦ ⑩✢①❀⑥◆③
⑧
⑤✲①❋⑤✚⑥✩⑤✲✈❍③✛✁
➁

①❀⑥◆③t⑩✿❣ ③✹⑥✩⑤
⑨
③
 
❺
 
✁ ✦
✠
✬☞☛
 
✪ ☞
✠
✦✧☛ ✒ ✎✕✪❭☞✘✄
➀❴✔✌☞  
 
❺
❽✥✕  ◗➀
✆
 
❺
 
✁ ✄
➀
❶
⑥✩⑤✲① ♦r✈
➁
✉✞⑩◆q❄③✏❣④③ ⑥✩⑤
⑨
③✢⑤✲✈❍✈❍③❄✈❨✈❍③
⑧

⑤♣❽✩s✙♦r✉✞s
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩★✇❝✉✞s
 ◆➁
❣④③ qt⑤✗⑩
⑧
③❄①❨③ts
➀
♦ ⑩◆③✢♦r①❍✈ ❽✩✉✗✈❍①❨③ts✙♦r✉✞s
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ❸✗♦
⑨
③t⑩❙⑤✗⑩☛❹❙❽✩✉☛✈❍✈❍♦✾⑥◆❷r③
⑧
⑤✲①❋⑤✔⑥✩⑤❻✈❍③✔❞ ⑦✘✉☛①❍③✬①❋⑥✩⑤❻① ①❋⑥◆③✬✉◆s
⑧
③ts ♦ ⑩ ❣ ⑥◆♦rq❄⑥⑧❣④③❈✉☞⑥◆✈❍③ts
⑨
③❈①❋⑥◆③
✉☞❝◆①❍q❄✉
➀
③❄✈ ♦r✈ ♦ s❍s❦③❄❷▼③
⑨
⑤✗⑩☛①✢①❍✉ ①❋⑥◆③♣❽✩✉✗✈❍①❨③ts✙♦r✉✞s❲✑ ⑤✲❷r❷✐①❋⑥✩⑤✲① ♦r✈✢s✙③❄❷r③
⑨
⑤✗⑩☛①✢♦r✈ ①❋⑥◆③♣⑩☞❝
➀
⑥❇③ts ✉✲✇✹⑥◆③t⑤
⑧
✈✢⑤✗⑩

⑧
①❋⑥◆③ ⑩◆❝
➀
⑥❇③ts✏✉✲✇✮①❀⑤✲♦r❷▼✈ ♦ ⑩♣①❋⑥◆③
⑧
⑤✲①❋⑤✔⑥✩⑤❻✈❍③✔❞✏❿ ③ ✈❀⑤t❹✢①❀⑥✩⑤✲①
✠
⑤✗⑩
⑧
✦✏⑤✗s✙③✄⑤ ♣ ❆✂✁ ✿❅qs♦❅t▼✈♠♣r✈①❧✔✈①q ♣✡✈①q❂✿ ✇❝✉✞s✐①❋⑥◆③
⑧
⑤✲①❋⑤✚⑥✩⑤✲✈❍③✔❞
❡ ⑩❣①❋⑥◆♦r✈ ✈❍♦
➀
❽◆❷r③ ③✡❤✩⑤
➀
❽◆❷r③
➁
✉☞❝✩s ✉☞❝◆①❍q❄✉
➀
③
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❅⑥✩⑤❻✈ ✉✞⑩◆❷r❹❣①✤❣④✉ ✈❨①❋⑤✲①❍③❄✈❺ ✁☞♦✟❧
✱
♣ ⑤✗⑩
⑧
✈①❧✔q✾✷ ♣
➀
❞
⑦ ✉◗❣

➁
♦
➀
⑤✲❸✗♦ ⑩◆③ ❣ ③ ⑥✩⑤
⑨
③♣⑤
⑧
♦r✈❍qts✙③❄①❨③❁✉◆❝◆①❍q❄✉
➀
③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③ ✚ ❣✘♦r①❋⑥☎✄✝✆
➇
✈❨①❋⑤✲①❍③❄✈❅❞ ➇✖✉✞s ③✡❤ ⑤
➀
❽◆❷▼③
➁
①❋⑥◆♦r✈
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❁q❄✉◆❝◆❷
⑧
s✙③t❽✩s✙③❄✈❍③t⑩☛① ①❀⑥◆③✬✉☞❝◆①❍q❄✉
➀
③✬✉✲✇✄⑤★s✙✉✗❷r❷✐✉✲✇✄⑤✷❷▼✉◆⑤
⑧
③
⑧✜⑧
♦▼③⑧❺✞✄
✔ ✏✔➀
❞

⑦
✈ ♦ ⑩❣①❋⑥◆③
①❋⑥◆❝
➀
⑥◆①❋⑤✲q✡❢♣③✡❤ ⑤
➀
❽◆❷r③
➁
❣④③✢qt⑤✗⑩
⑧
③✟❹ ⑩◆③✢①❋⑥◆③✬❽✩⑥☛❹◆✈❍♦rqt⑤✲❷ ❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①❍♦r③❄✈✢✉✲✇✏③t⑤✲q❄⑥ ✉☞❝◆①❨q❄✉
➀
③
➁
❣ ⑥◆♦rq◗⑥ ❣④③
⑧
③t⑩◆✉✗①❍③✠✟✠✡
✔✌☞✎ 
✡
✕
✡✌☞☛✏✎✏✎✏✹☞
 
✡
✕☞☛
✍☞❞✎❿ ③ ⑤✲✈❨✈✩❝
➀
③④①❋⑥✩⑤✲①❜③t⑤✲q❄⑥✕✈❍①❀⑤✲①❍③④♦r✈✆❽❇✉✗✈❍✈❍♦✾⑥◆❷r③✐✈❍✉✹①❋⑥✩⑤❻①❜③t⑤✲q◗⑥
 
✡
✕✍✌

✝❙➅
❞
❡❑⑩ ⑤
⑧✩⑧
♦r①❍♦r✉✞⑩
➁
❣④③ ⑥✩⑤
⑨
③ ✢
☛
✌ ✕
✡
 
✡
✕✎✌
✔ ❽
❞
⑦
❷r✈❍✉
➁
♦ ✇✴❣④③❦❢◆⑩◆✉✯❣❙①❋⑥◆③❄✈❍③✏❽✩⑥☛❹✞✈❍♦rqt⑤✲❷❡❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①❍♦r③❄✈
➁
①❋⑥◆③t⑩ ①❋⑥◆③
✉☞❝◆①❍q❄✉
➀
③✏✉✲✇❜③t⑤✲q◗⑥✑✏❨①❍✉✗✈❍✈✓✒✕✉✲✇✕✚➂❣ ♦▼❷r❷✴⑥❇③✹q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤❻❷▼❷r❹♣♦ ⑩
⑧
③t❽✩③t⑩

⑧
③t⑩☛①✏✉✲✇❜①❋⑥◆③✏✉✗①❋⑥◆③ts④①❨✉✗✈❍✈❍③❄✈
➁
⑤✗⑩
⑧
 
❺✯✚
✞
✔✫✜
✁✾✚❩✡❆☞✎✏☛✏✎✏✽☞❖✚
✞
✗
✡❆☞✔✟✠✡ ☞✘✄
➀❴✔  
✡
✕✎✌
❺
➄✔➀
⑦
⑩✗❹
⑧
⑤✲①❀⑤✔⑥✩⑤✲✈❍③✏✉✲✇❜✉☞❝◆①❍q❄✉
➀
③❄✈
☞
✚ ✡✌☞✎✏✎✏☛✏✍☞❵✚☎✄ ✍✹①❋⑥✩⑤✲①✘✈❀⑤✲①❍♦r✈✰❹✖③❄✈✐①❋⑥◆③❄✈❍③✹q❄✉◆⑩
⑧
♦▼①❨♦▼✉◆⑩◆✈✏♦▼✈✐qt⑤✲❷r❷r③
⑧
⑤✗⑩ ❺✞✄

✕➈❽❅➀
✦
✱
q✩✆■♦❅t❃♣✡qs②✔t▼❧✟✷❩✆ ❆✼✷✙✈①qst▼② ✆●qs❧✟✷ ♣r❧ ✆★✖ ✷✙♦■✇✷qs✈✂✁ ✖ ✁☞♥✣♣✡q❂✿✟❧✟✷✝✖❆③✰② ✶✹❧ ✶✌q❂✷★qs✈①q❋♦✌♣✕✟✠✡➉❺
✫
✉◆✉
⑧❡➁❆❽✫➂❭✏✗➆✔➀
❞✎❿ ⑥◆③t⑩✖✄
✔ ➇✩➁
⑤✲✈✏♦ ⑩♣①❋⑥◆③✕①❋⑥◆❝
➀
⑥◆①❋⑤✲q✡❢✢③✡❤✩⑤
➀
❽◆❷r③
➁
①❀⑥◆③✄✈❨③✡❜ ❝◆③t⑩◆q❄③ ♦r✈✏✈❋⑤✲♦
⑧
①❍✉➂⑥❇③ ⑤ ✶✡qst▼②❭✆■qs❧✟✷ ♣r❧❭✆☎✖ ✷★♦✣❞
❶
⑥◆③✕q❄✉✞⑩◆q❄③t❽◆①
❽✔❽
✉✲✇✮⑤
➀
❝◆❷r①❍♦ ⑩◆✉
➀
♦ ⑤✲❷✎✈❋⑤
➀
❽◆❷r③✺❺❝⑤✗⑩
⑧
♦r①❍✈✘❸✗③t⑩◆③ts❍⑤❻❷▼♦★➏t⑤✲①❨♦▼✉◆⑩

➁
①❋⑥◆③✕s❍⑤✗⑩
⑧
✉
➀
✈❋⑤
➀
❽◆❷r③
➀
❣✘♦r❷r❷✷⑥✩③✹q❄③t⑩☛①❋s❍⑤❻❷ ①❨✉ ①❋⑥◆③
s✙③
➀
⑤❻♦ ⑩◆♦ ⑩◆❸
⑧
♦r✈❍q❅❝◆✈❍✈❍♦r✉✞⑩◆✈✏♦ ⑩✢①❀⑥◆♦▼✈✏❽✩⑤✗❽❇③ts✡❞
⑦
⑩✩⑤✲❷r✉✗❸✗✉◆❝◆✈✘①❍✉✕①❋⑥◆③✹①❀⑥☞❝
➀
⑥◆①❋⑤✲q✡❢✕③✡❤✩⑤
➀
❽◆❷r③
➁
❣ ③✏⑥✩⑤
⑨
③
 
❺✯✚
✔✫✜
✁ ✄
➀✕✔✗✙  

✡
✕✍✌
 
❺✞✟✠✡ ✁ ✄
➀  
✟✠✡
✚✗✜
❺
 
✡
✕✎✌
✁ ✄
➀
❺
➂✔➀
❣ ⑥◆③ts✙③
 
❺ ✚
✔ ✜
✁ ✄
➀
♦r✈✢✉☞❝✩s✢❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹✜①❋⑥✩⑤✲①✛✚
✔ ✜
♦ ⑩❣①❋⑥◆③ ⑩◆③✡❤✞①✢qt⑤✲✈❨③✔❞ ⑦ ✉✗①❍③♣①❋⑥✩⑤❻①
➁
⑥✩③❄qt⑤✔❝◆✈❨③
✢
☛
✌ ✕
✡

 
✡
✕✎✌
✔ ❽✗➁
①❋⑥◆③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇❝✉✞s ✟✠✡♦▼✈❈①❍③❄q❄⑥✩⑩◆♦▼qt⑤❻❷▼❷r❹ ⑤
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✉
⑨
③ts ①❀⑥◆③
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③❄✈
✟
✡
 
☞  
✡
✕✍✌
✍✹✇❝✉✞s④✈❍✉
➀
③
✜
❺❴①❋⑥◆③✏✈❍❹
➀
⑥✩✉✗❷
 
⑧
③t⑩◆✉✗①❍③❄✈✏✈❨③❄①
⑧

♦➋➃ ③ts❦③t⑩◆q❄③
➀
❞
⑦
❷r✈❍✉
➁
❸✗♦
⑨
③t⑩❈⑤✗⑩✗❹
⑧
⑤❻①❋⑤✔⑥✩⑤✲✈❍③✏✁
✉✲✇❜✉☞❝◆①❍q❄✉
➀
③❄✈
➁
❣ ③✹⑥✩⑤
⑨
③
 
❺✞✟
✡
✁ ✁ ☞✍✄
➀❴✔✌☞✂✁
☛
✓
✌ ✕
✡
 ☎✄✝✆
✡
✕✍✌

 
❺✞✟
✡
✁ ✄
➀
❺
❽t➅✔➀
❣ ⑥◆③ts✙③✟✞
✌
♦▼✈✐①❋⑥◆③✹⑩◆❝
➀
⑥✩③ts④✉✲✇❜①❍♦
➀
③❄✈❝✚
✔✫✜
♦ ⑩ ✁
➁
⑤✗⑩
⑧ ☞
♦r✈ ⑤ ⑩◆✉✞s
➀
⑤✲❷r♦★➏t⑤✲①❍♦r✉✞⑩✢q❄✉◆⑩◆✈❍①❋⑤✗⑩☛①❅❞✷⑦✘✉☛①❍③✏①❋⑥✩⑤✲①
①❋⑥◆③✏q❄✉☞❝✩⑩☛①❍✈✠✞ ✡❆☞✎✏☛✏✎✏✽☞✡✞
☛
⑤✗s✙③✹⑤✕✈✩❝✚➎ q❄♦▼③t⑩☛①✐✈❍①❋⑤✲①❍♦r✈❍①❨♦▼q✐✇❝✉✞s④①❀⑥◆③
➀
❝◆❷r①❍♦ ⑩◆✉
➀
♦ ⑤❻❷✠✈❋⑤
➀

❽◆❷r③✔❞
✫
♦
⑨
③t⑩ ⑤
➀
❝◆❷r①❍♦ ⑩◆✉
➀
♦ ⑤✲❷❪✈❋⑤
➀
❽◆❷▼③
➁
⑤❭❝◆✈❍③ts④♦r✈ ✇❑s✙③❄③ ①❨✉ ⑤❻✈❍✈❍③❄✈❍✈④⑤✗⑩✗❹ ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇✵✉◆s ✟
✡
❞
❡❑⑩✢❽✩s❨⑤✲q❄①❍♦rq❄③
➁
⑥◆✉✯❣④③
⑨
③ts
➁
✉✞⑩◆③✏✉✲✇❝①❍③t⑩✿❝◆✈❍③❄✈✘①❋⑥◆③✏❺✏♦ s✙♦rq❄⑥◆❷▼③❄①
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ⑥❇③❄qt⑤✔❝◆✈❍③✏♦r① ⑥✩⑤✲✈✘✈❨③
⑨
③ts❍⑤✲❷❪q❄✉✞⑩
⑨
③✟❷

⑩◆♦r③t⑩✗①✏❽✩s✙✉✞❽❇③ts✙①❍♦r③❄✈❅❞
❶
⑥◆③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈ ✟✠✡ ⑤✗s✙③✏✈❀⑤✲♦
⑧
①❍✉ ⑥✩⑤
⑨
③✕⑤☞☛✂q❋③✟q❂✿✥✁ ✷★♦❅✈
✱
q ♣r✈①③✟q✹✶ ❆◆✈①q❋②✔t❘✇✷q❋✈✂✁➂♦✥✤✽✖ ②✚t▼♦❅t❲✈s♣
✞✍✌
✡
☞☛✏✎✏☛✏✽☞✎✞✍✌
☛
❣ ⑥◆③t⑩ ①❋⑥◆③✹❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈✉✲✇ ✟✠✡✕♦▼✈✐❸✗♦
⑨
③t⑩ ⑥✗❹
 
❺✞✟✠✡ ✁ ✄
➀✕✔✑✏
❺✛✢
☛
✌ ✕
✡
✞
✌
✌

➀
✒
☛
✌ ✕
✡
✏
❺✓✞
✌
✌
➀
☛
✓
✌ ✕
✡
 
✄✕✔
✆
✗
✡
✡
✕✍✌
☞✖✞
✌
✌
✝❙➅
❺
❽✔❽❅➀
❣ ⑥◆③ts✙③
✏
❺

✁ ➀
♦r✈✏①❋⑥◆③
✚
❧❭✆ ✆■❧ ✇❁❝✩⑩◆q❄①❍♦r✉✞⑩
➁
❣✐⑥◆♦▼q❄⑥♣✈❋⑤❻①❍♦r✈✰❹✖③❄✈
✏
❺✯✚
✒ ❽❅➀★✔
✚
✏
❺✯✚
➀
⑤✗⑩
⑧
✏
❺
❽❅➀✔ ❽
❞✐❿ ⑥◆③t⑩
①❋⑥◆③
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈ ✟
✡
⑥✩⑤
⑨
③ ⑤ ❺✏♦ s✙♦rq❄⑥◆❷▼③❄①
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩
➁
❣④③ ⑤✲❷r✈❍✉✢✈❋⑤✫❹❈①❋⑥✩⑤✲①

 
❺✞✟
✡
✁ ✄
➀
q✾♣✗☛✂q❋③✟q✾✿✍✁ ✷★♦❅✈ ✮
❶
⑥◆③
③✡❤✩❽✩✉✞⑩◆③t⑩☛①❍✈✕✞
✌
✌
➀
❝◆✈❍①❏⑥✩③✏❸✞s✙③t⑤❻①❍③ts✎①❋⑥✩⑤✗⑩
➅
①❍✉ ❸☞❝✩⑤✗s❍⑤☛⑩✗①❍③❄③ ①❋⑥✩⑤✲①❜①❋⑥◆③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ qt⑤✗⑩✿⑥✩③✏⑩◆✉✞s
➀
⑤✲❷r♦✙➏❄③
⑧
❞
⑦ ✉✗①❍③④①❋⑥✩⑤✲① ①❋⑥◆③④③✡❤ ❽❇✉✞⑩◆③t⑩✗①❨✈✘✞
✌
✌
⑤☛s✙③ ⑤ ✇✭❝✩⑩◆q❄①❍♦r✉✞⑩ ✉❻✇ ①❋⑥◆③✛❝◆✈❨③ts✍✡ ✈✮✈❨①❋⑤✲①❍③④✉✲✇❪♦ ⑩☛✇❝✉✞s
➀
⑤✲①❍♦r✉✞⑩❚✄▼❞✎❿ ⑥◆③t⑩ ✄
✔ ➇✩➁
①❋⑥◆③✏❺✏♦ s✙♦rq❄⑥◆❷▼③❄①
⑧

♦r✈❍①❀s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈♦▼✈✐⑤✲❷r✈❍✉✺❢◆⑩◆✉◗❣✐⑩✢⑤✲✈ ⑤✻✶✹♦❅✈①❧
✱
q ♣r✈①③✟q ✶ ❆☞✈①qs②✔t❲❞
❶
⑥◆③✹❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩
✉✞⑩ ①❋⑥◆③✢❷r③❀✇✵①✰❷✌⑥✩⑤☛⑩
⑧
❷❑✈❍♦
⑧
③ ✉✲✇❭➇❜♦r❸☞❝✩s✙③
➆
♦r✈ ⑤ ⑥✩③❄①❋⑤
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩⑩❣✘♦r①❋⑥ ③✡❤ ❽❇✉✞⑩◆③t⑩☛①❍✈✙✞
✌
 ✛✚✢✜✎✣✥✤
✔ ✁
⑤✗⑩
⑧
✞✍✌
✆✦✜✧✔
✞
✤
✔ ➇
❞
❶
⑥◆③★❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹
⑧

♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩✜✉✞⑩❣①❋⑥◆③ s✙♦r❸✞⑥☛①✰❷✌⑥✩⑤✗⑩
⑧
❷❑✈❍♦
⑧
③★✉✲✇✄①❋⑥◆③ ❹✖❸☞❝✩s❦③❁♦r✈✬⑤➈⑥❇③❄①❋⑤
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ❣✘♦r①❋⑥ ③✡❤✩❽✩✉◆⑩◆③t⑩✗①❍✈✧✞
✌
 ✛✚★✜✡✣✥✤
✔ ➅
⑤✗⑩
⑧
✞
✌
✆✦✜✧✔
✞
✤
✔ ➇
❞
➇❪s✙✉
➀
➌❑❜ ❝✩⑤❻①❍♦r✉✞⑩
❽t➅✩➁
❣④③✢✈❍③❄③❈①❋⑥✩⑤✲① ♦ ✇✹①❋⑥◆③♣❽✩s✙♦r✉✞s
⑧
♦r✈❍①❀s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❣✉✲✇ ✟✠✡✷♦▼✈✢❺✏♦ s✙♦rq❄⑥◆❷r③❄①
➁
①❋⑥◆③t⑩ ①❋⑥◆③
❽✩✉☛✈❍①❍③ts✙♦r✉✞s
⑧

♦r✈❍①❀s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈✉✲✇ ✟✠✡✕❸✗♦
⑨
③t⑩
⑧
⑤✲①❋⑤✔⑥✩⑤❻✈❍③✏✁
✔✌☞
✚❩✡❆☞✎✏✎✏☛✏✽☞❵✚ ✄✲✍✹♦r✈ ⑤✲❷r✈❍✉ ❺✏♦ s✙♦rq◗⑥◆❷r③❄①✎✄
 
❺✞✟✠✡ ✁ ✁ ☞✍✄
➀❴✔✌☞
☛
✓
✌ ✕
✡
 
✄✕✔
✆✎✩
✄
✆
✗
✡
✡
✕✍✌
❺
❽t➇✔➀
❿ ③ ✈❋⑤✫❹♣①❋⑥✩⑤✲①✹①❀⑥◆③ ❺✏♦ s✙♦rq❄⑥◆❷▼③❄①
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩★♦r✈✕q❄❷▼✉☛✈❍③
⑧
❝✩⑩

⑧
③ts
➀
❝◆❷r①❍♦ ⑩◆✉
➀
♦ ⑤❻❷✘✈❋⑤
➀
❽◆❷r♦ ⑩◆❸
➁
✉◆s✏①❋⑥✩⑤✲① ①❋⑥◆③
❺✏♦ s✙♦rq◗⑥◆❷r③❄①
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ♦▼✈✐⑤ ✿✟②✔t ✽❈❆✸✲☞❧✔✈①♦ ✴✡❧❭✆■q❂✷★♥■②✵✴
✱
q ♣✡✈①③✩q✹✶ ❆◆✈①q❋②✚t❃♣❜✇❝✉✞s
➀
❝◆❷▼①❨♦ ⑩◆✉
➀
♦ ⑤✲❷❡✈❋⑤
➀
❽◆❷▼♦ ⑩◆❸▼❞
⑦
❷▼✈❨✉
➁
❣ ⑥◆③t⑩ ✟
✡
⑥✩⑤✲✈✮⑤✐❺✏♦ s✙♦rq❄⑥◆❷▼③❄①
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩
➁

①❀⑥◆③ ③✡❤✩❽✩③❄q❄①❀⑤✲①❍♦r✉✞⑩✕✉✲✇
 
✡
✕✍✌
✑❙③✡❜ ❝✩⑤❻❷✩①❍✉✏①❋⑥◆③✘❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹ ①❋⑥✩⑤✲①
❽t➇
✚
✔✫✜
♦ ⑩✢①❋⑥◆③❈❹ s✙✈❨①✘✉☞⑥◆✈❍③ts
⑨
⑤✲①❍♦r✉✞⑩ ✑ ⑥✩⑤✲✈✏⑤✕✈❍♦
➀
❽◆❷r③ ③✡❤ ❽✩s✙③❄✈❨✈❍♦r✉✞⑩ ✄
✜
❺
 
✡
✕✍✌
✁ ✄
➀✕✔
 
❺✯✚
✔ ✜
✁ ✄
➀✕✔
✞
✌
✌
✞
✌

❺
❽❇✁✔➀
❣ ⑥◆③ts✙③☞✞
✌
✔
✢
☛
✌ ✕
✡
✞
✌
✌
❞
⑦
✈✂❣ ③✕✈❋⑥✩⑤❻❷▼❷ ✈❍③❄③
➁
①❋⑥◆③❄✈❍③ ❽✩s✙✉✞❽✩③ts❦①❍♦r③❄✈
➀
⑤✔❢❻③✄①❀⑥◆③✄❺✏♦ s✙♦rq❄⑥◆❷r③❄① ⑤✏❝◆✈❨③❀✇❁❝◆❷④❽✩s✙♦r✉✞s
✇❝✉✞s④❷r③t⑤✗s❍⑩◆♦ ⑩◆❸▼❞
⑦
✈✩❝✩s
⑨
③❄❹✕✉✲✇
➀
③❄①❋⑥◆✉
⑧
✈✮✇❝✉✞s ⑤✲✈❍✈❍③❄✈❍✈❨♦ ⑩◆❸✕⑤■⑥✩③❄①❋⑤
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ♦r✈④❸✗♦

⑨
③t⑩✺⑥☛❹✕❿✜♦ ⑩❃❢☛❷r③ts❭❺
❽t➂ ✏
✄
➀
❞
❶
⑥◆③❄✈❍③
➀
③❄①❋⑥◆✉
⑧
✈✕♦ ⑩◆q❄❷ ❝
⑧
③♣①❋⑥◆③
⑧
♦ s✙③❄q❄① ⑤✲✈❍✈❍③❄✈❨✈
➀
③t⑩☛①✄✉❻✇✆①❀⑥◆③✬❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩➈❝◆✈❨♦ ⑩◆❸❘❜ ❝◆③❄✈❍①❨♦▼✉◆⑩◆✈ s✙③✟❷
❸✞⑤✗s
⑧
♦ ⑩◆❸ s✙③❄❷ ⑤✲①❨♦
⑨
③✬⑤✗s✙③t⑤✲✈
➁
⑤✲✈❨✈❍③❄✈❍✈
➀
③t⑩☛①✕✉✲✇ ①❋⑥◆③ q❅❝
➀

❝◆❷ ⑤✲①❍♦
⑨
③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇❁❝✩⑩◆q❄①❨♦▼✉◆⑩➈❝◆✈❍♦ ⑩◆❸♣✇ s❨⑤✲q❄①❍♦r❷r③❄✈
➁
⑤✲✈❍✈❨③❄✈❍✈❍♦ ⑩◆❸✬①❋⑥◆③ ❽✩✉✗✈❍①❨③ts✙♦r✉✞s
➀
③t⑤☛⑩◆✈✏✉✲✇✘①❋⑥◆③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩✷❸✗♦
⑨
③t⑩ ⑥☛❹✩❽✩✉✗①❋⑥◆③❄①❨♦▼qt⑤❻❷✮③
⑨
♦
⑧
③t⑩◆q❄③
➁
⑤✗⑩
⑧
⑤✲✈❍✈❨③❄✈❍✈✰❷
➀
③t⑩☛① ♦ ⑩★①❋⑥◆③✢✇❝✉✞s
➀
✉✲✇✏⑤✗⑩★③✡❜ ❝◆♦
⑨
⑤✲❷r③t⑩✗①✢✈❋⑤
➀
❽◆❷r③✢✈❍♦★➏❄③✔❞
❶

⑥◆③❄✈❨③
➀
③❄①❋⑥◆✉
⑧
✈ qt⑤✗⑩➈⑥✩③❈❸✗③t⑩◆③ts❍⑤✲❷r♦★➏❄③
⑧
❣✘♦r①❋⑥
⑨
⑤☛s✙❹✞♦ ⑩◆❸
⑧
♦➋➎ q❅❝◆❷r①✌❹✢①❨✉ ①❋⑥◆③✹⑩◆✉✞⑩✚❷✤⑥◆♦ ⑩✩⑤✗s✙❹✢qt⑤❻✈❍③✔❞
❶
⑥◆③✄③✡❜❃❝◆♦
⑨
⑤✲❷r③t⑩☛①✰❷❑✈❋⑤
➀
❽◆❷▼③✟❷❑✈❨♦✙➏❄③
➀
③❄①❋⑥◆✉
⑧
❸✗③t⑩◆③ts❨⑤✲❷r♦✙➏❄③❄✈✕❽✩⑤✗s✙①❍♦rq❅❝◆❷ ⑤✗s✙❷r❹ ❣④③❄❷r❷➁❞
❶
⑥◆③
➀
③❄①❋⑥◆✉
⑧
♦r✈■⑥✩⑤✲✈❍③
⑧
✉✞⑩➈➌❑❜ ❝✩⑤✲①❨♦▼✉◆⑩
❽❇✁✩➁

❣ ⑥◆♦rq◗⑥ ✈❋⑤✫❹✞✈ ①❀⑥✩⑤✲①■❣ ③✢qt⑤☛⑩❙⑤✲✈❍✈❨③❄✈❍✈ ⑤♣❺✏♦ s✙♦rq❄⑥◆❷▼③❄①
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩⑩⑥☛❹ ⑤❻✈❍✈❍③❄✈❍✈❍♦ ⑩◆❸★①❋⑥◆③
❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩
 
❺✯✚❀✁ ✄
➀
✇❝✉✞s ①❋⑥◆③ ⑩◆③✡❤✞①✢✉◆⑥◆✈❍③ts
⑨
⑤❻①❍♦r✉✞⑩
➁
⑤✗⑩
⑧
✞
✌
❞ ❡ ⑩✜✈❍✉
⑧
✉✗♦ ⑩◆❸
➁
❣④③
➀
⑤✫❹
s✙③✡❣ s❦♦▼①❨③❭➌✷❜❃❝✩⑤✲①❍♦r✉✞⑩
❽✚❽
⑤❻✈
 
❺✞✟✠✡ ✁ ✄
➀✕✔✌☞ ✁

☛
✓
✌ ✕
✡
 
✄
✔
 ✂✁
✡
✕✎✌☎✄ ✆✞✝✛✗
✡
✡
✕✍✌
❺
❽✡➅☞➀
❣ ⑥◆③ts✙③
☞
♦r✈ ⑤ ⑩◆✉◆s
➀
⑤✲❷r♦★➏t⑤✲①❍♦r✉✞⑩ q❄✉✞⑩◆✈❍①❋⑤✗⑩☛①❅❞
⑦
✈❍✈❍③❄✈❍✈❍♦ ⑩◆❸
 
❺✯✚❴✁ ✄
➀
♦r✈✐✈❍①❋s❍⑤❻♦▼❸◆⑥✗①✙✇❝✉✞s✰❣✘⑤✗s
⑧
❞☎➇❆❝✩s❦①❋⑥◆③ts
➀
✉✞s❦③

➁
①❋⑥◆③
✇❝✉✗❷r❷▼✉✯❣✘♦ ⑩◆❸ ①✰❣ ✉✕✉☞⑥◆✈❨③ts
⑨
⑤✲①❨♦▼✉◆⑩◆✈✘✈✩❝◆❸✗❸✗③❄✈❨① ⑤✕✈❍♦
➀
❽◆❷r③
➀
③❄①❋⑥◆✉
⑧
✇✵✉◆s ⑤❻✈❍✈❍③❄✈❍✈❍♦ ⑩◆❸ ✞
✌
❞
❶
⑥◆③
⑨
⑤✗s✙♦ ⑤✗⑩◆q❄③❈✉✲✇✹⑤
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇❝✉✞s ✟✠✡♣♦r✈ ⑤✗⑩★♦ ⑩
⑧
♦rqt⑤✲①❍♦r✉✞⑩❣✉✲✇✹⑥◆✉✯❣
➀
❝◆q◗⑥★①❀⑥◆③
➀
③t⑤✗⑩★✉❻✇ ✟✠✡
♦r✈ ③✡❤✩❽✩③❄q❄①❍③
⑧
①❍✉❈q◗⑥✩⑤☛⑩◆❸✗③
➁
❸✗♦

⑨
③t⑩⑩◆③✡❣ ✉☞⑥◆✈❍③ts
⑨
⑤✲①❍♦r✉✞⑩◆✈✣❞
❶
⑥◆③ ⑥◆♦r❸✞⑥◆③ts ①❋⑥◆③
⑨
⑤✗s✙♦ ⑤✗⑩◆q❄③
➁
①❋⑥◆③ ❸✞s✙③t⑤✲①❍③ts ①❋⑥◆③
③✡❤✩❽✩③❄q❄①❍③
⑧
q◗⑥✩⑤✗⑩◆❸☛③✔❞❙❡❝①✘♦r✈✐✈❍✉
➀
③❄①❨♦
➀
③❄✈✘✈❋⑤✲♦
⑧
①❀⑥✩⑤✲①④①❋⑥◆③
⑨
⑤✗s✙♦ ⑤✗⑩◆q❄③✹♦r✈ ⑤
➀
③t⑤✲✈✩❝✩s✙③✏✉❻✇ ⑤✉❝◆✈❨③ts✍✡ ✈✍✿✟②✔t✠✟
✱
♦❅t ✿✩♦
♦ ⑩✢①❋⑥◆③
➀
③t⑤✗⑩ ✇❝✉✞s ✟
✡
❞

❶
⑥◆③
⑨
⑤✗s✙♦ ⑤✗⑩◆q❄③ ✉✲✇✥①❀⑥◆③✏❺✏♦ s❦♦▼q❄⑥◆❷r③❄①
⑧
♦r✈❍①❀s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈♦▼✈✐❸✗♦
⑨
③t⑩ ⑥✗❹
✡✂☛ ✄❃❺
 
✡
✕✎✌
✁ ✄
➀✕✔
 
❺✯✚
✔✫✜
✁ ✄
➀
❺
❽✥✕
 
❺✯✚
✔✫✜
✁ ✄
➀✝➀
✞
✌
✒⑩❽
❺

❽t➆✔➀
❶
⑥◆❝◆✈
➁
✞
✌
♦r✈✏⑤ s✙③❅✦✖③❄q❄①❍♦r✉✞⑩ ✉✲✇❜①❋⑥◆③❭❝◆✈❍③ts✍✡ ✈ q❄✉✞⑩✚❹
⑧
③t⑩◆q❄③✔❞
❡ ⑩ ⑤
⑧✩⑧
♦▼①❨♦▼✉◆⑩
➁
✈✟❝✩❽✩❽✩✉✗✈❍③❈❣④③✑❣④③ts✙③✘♦ ⑩◆♦r①❍♦ ⑤✲❷r❷r❹✢q❄✉
➀
❽◆❷r③❄①❍③❄❷r❹ ♦r❸✞⑩◆✉◆s❍⑤✗⑩☛① ⑤✔⑥❇✉☞❝◆① ⑤
⑧
✉
➀
⑤✲♦ ⑩ ✑❙①❋⑥✩⑤✲① ♦r✈
➁
✉☞❝✩s
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩
 
❺✞✟✠✡ ✁ ✄
➀
❣✘⑤✲✈✏❸✗♦
⑨
③t⑩ ⑥✗❹➌❑❜ ❝✩⑤✲①❨♦▼✉◆⑩

❽✚❽
❣✘♦r①❋⑥❈③t⑤✲q◗⑥❈③✡❤✩❽✩✉✞⑩◆③t⑩☛① ✞✍✌
✌
✔ ➅
❞☞☛
 
❝✩❽✩❽❇✉✗✈❍③✉❣④③
①❋⑥◆③t⑩✷✈❋⑤✣❣ ✞
✌
qt⑤✲✈❍③❄✈■❣✘♦r①❋⑥✷✈✩❝✚➎ q❄♦r③t⑩☛①✕✈❍①❋⑤✲①❍♦r✈❍①❨♦▼q❄✈ ✞
✌
✡
☞✎✏✎✏☛✏✽☞✎✞
✌
☛
❞
❶
⑥◆③t⑩
➁
⑥☛❹ ➌✷❜❃❝✩⑤✲①❍♦r✉✞⑩
❽t➇✩➁
✉☞❝✩s✕❽✩s✙♦r✉✞s
❣④✉☞❝◆❷
⑧
⑥❇③✏①❋⑥◆③✹❺✏♦ s✙♦rq❄⑥◆❷▼③❄①
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈❸✗♦
⑨
③t⑩ ⑥✗❹✏➌✷❜❃❝✩⑤✲①❍♦r✉✞⑩
❽✚❽

❞
❶
⑥☞❝◆✈
➁
❣④③ qt⑤✗⑩⑤✲✈❍✈❍③❄✈❨✈ ✞
✌
⑤✲✈✕⑤✗⑩⑩♦❅❄❇❆◆q❂❁✣❧✟✷★♦❅t▼✈❇♣✡❧❭✆☎✖ ✷★♦✿♣rq ✘r♦☛✄✕①❋⑥◆③✢⑩☞❝
➀
⑥✩③ts ✉✲✇ ✉☞⑥◆✈❍③ts
⑨
⑤✲①❍♦r✉✞⑩◆✈■❣④③
❣④✉☞❝◆❷
⑧
⑥✩⑤
⑨
③ ⑥✩⑤
⑧
①❍✉✬⑥✩⑤
⑨
③✕✈❍③❄③t⑩♣✈❍①❀⑤✗s✙①❍♦ ⑩◆❸ ✇ s✙✉
➀
q❄✉
➀
❽◆❷r③❄①❍③ ♦r❸✞⑩◆✉✞s❨⑤✗⑩◆q❄③ ♦ ⑩♣✉✞s
⑧
③ts✐①❨✉✬⑥✩⑤
⑨
③✄①❀⑥◆③✄✈❀⑤
➀
③

q❄✉✞⑩✚❹
⑧
③t⑩◆q❄③♣♦ ⑩✝✟✠✡ ①❋⑥✩⑤✲①✉❣④③♣⑤✲q❄①✩❝✩⑤✲❷r❷r❹❙⑥✩⑤
⑨
③✔❞⑧➇✤✉✞s ③✡❤ ⑤
➀
❽◆❷▼③
➁
❣④③ ❣ ✉◆❝◆❷
⑧
✉☞⑥◆①❋⑤✲♦ ⑩ ①❋⑥◆③❁❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
✌
✔❩✰✌✼❃✿❴❯✟❈✯✼❃✸✽❈❙❆✼❃✿✯✺✩❈✯✼✾❉✌❅✗✺✩✼❃✸✽✲✛✶✍✻✽✲✟✲✠✸❖✺❴❉❭✱ ✲✗✸✽❈✳◆✻✹❁✾✼❃❜✍✱◗❙ ❊ ✻✹✲✠❙❚✼❃✿✕✿✯✸❵◆✱✍✺✩✼❃◆✱✍✿✕✶◗✻✹❁✾❁❃✱✍❙✦✻✹✲✎✍✑✏✓✒✕✔✗✖✘✒✚✙✞✔✛✒✕✔✘✍✜✖✠✔✘✢✠✔ ✸❉❭✱◆✸✽❈✳✱
❯✌❈✳✱✍✶❲✼❃✿✯✱❖❊ ✚❩✱❀✿✩✰✗✸✽❅✟❁❃❙✵✿✯✻✽❂❄✺✩✰✠✻❖✺❘✱✍✻❵✶ ✰❣✱✕✖❖❯❭✸✹✲✠✱❲✲✌✺❘✼❃✿❴✱✧✦❖❅✠✻✹❁▼✺✯✸✿✯✸❖◆✱✕✲❆❅✠◆❢❉❭✱✳❈❴✶✳❁❃✸❖✿✯✱ ✺✯✸❜✍✱❲❈✳✸✌❨
❽❇✁
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇✵✉◆s
 
♦ ⑩✿➇❜♦▼❸◆❝✩s✙③
✁
♦ ✇✴❣④③✏⑤✲✈❍✈❍③❄✈❍✈❨③
⑧
 
❺
✠
✬☞☛
 
✪✂✁ ✄
➀
①❍✉●⑥❇③

✁✟❊✗➆
⑤✗⑩
⑧
①❀⑥◆③✏③✡❜ ❝◆♦
⑨
⑤❻❷▼③t⑩☛①✘✈❋⑤
➀
❽◆❷r③
✈❍♦★➏❄③✹①❨✉✺⑥✩③❛❹
⑨
③✔❞
 
✉★✇❑⑤✗s
➁
❣④③ ⑥✩⑤
⑨
③♣✉✞⑩◆❷r❹ q❄✉✞⑩◆✈❍♦
⑧
③ts✙③
⑧
⑤
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③ ❣✘♦r①❋⑥
⑧
♦r✈❍qts❦③❄①❍③ ✉☞❝◆①❍q❄✉
➀
③❄✈❅❞ ❡❑⑩ ❸✗③t⑩◆③ts❍⑤❻❷
➁
❣④③
qt⑤✗⑩❣♦

➀
⑤✲❸✗♦ ⑩◆③⑤❽✩⑥✗❹◆✈❍♦rqt⑤✲❷✹❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩ ✉
⑨
③ts✢⑤
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③ ❺
⑧
♦r✈❍qts✙③❄①❨③ ✉✞s q❄✉✞⑩☛①❍♦ ⑩☞❝◆✉◆❝◆✈
➀
✇❑s✙✉
➀
❣ ⑥◆♦rq◗⑥
⑧
⑤✲①❋⑤✔⑥✩⑤❻✈❍③ qt⑤❻✈❍③❄✈ ⑤✗s✙③
⑧
s❨⑤❅❣✐⑩❲⑤✲① s❍⑤✗⑩
⑧
✉
➀
❞
❶
⑥◆♦r✈ ❽✩⑥☛❹◆✈❍♦rqt⑤✲❷ ❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩
①✙❹ ❽◆♦rqt⑤✲❷r❷r❹✜qt⑤✗⑩⑧⑥❇③♣q◗⑥✩⑤✗s❨⑤✲q❄①❍③ts✙♦★➏❄③
⑧
⑥✗❹❙⑤➊❹ ⑩◆♦r①❍③♣✈❍③❄① ✉✲✇✤✖ ❧✔③✰❧❭✆■♦✣✈①♦❅③✹♣r❞ ❡❴✇✄①❀⑥◆③✬✉☞❝◆①❍q❄✉
➀

③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③♣♦▼✈
⑧
♦r✈❍qts✙③❄①❍③
➁
①❀⑥◆③t⑩✬①❀⑥◆③✄❽✩⑥☛❹✞✈❍♦rqt⑤✲❷✮❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ⑥✩⑤✲✈✏⑤ ❽✩⑤✗s❍⑤
➀
③❄①❨③ts✘q❄✉✞s❨s✙③❄✈❋❽✩✉◆⑩
⑧
♦ ⑩◆❸✢①❨✉ ③t⑤✲q❄⑥
❽✩⑥☛❹✞✈❍♦rqt⑤✲❷✮❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹ ♦ ⑩❈①❋⑥◆③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩⑩❺❝⑤✗⑩
⑧❡➁
⑥◆③ts❦③❄♦ ⑩
➁
❣④③✄✈❨✉
➀
③❄①❍♦
➀
③❄✈✹s✙③❀✇❝③ts✐①❍✉ ①❋⑥◆③❄✈❍③ ❽✩⑥☛❹◆✈❍♦rqt⑤✲❷
❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①❍♦r③❄✈✏⑤✲✈ ❽✩⑤✗s❨⑤
➀
③❄①❍③ts✙✈
➀
❞✴❡✵✇ ①❀⑥◆③ ✉☞❝◆①❨q❄✉
➀

③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③ ♦r✈④q❄✉✞⑩☛①❍♦ ⑩☞❝◆✉◆❝◆✈
➁
①❋⑥◆③ ❽✩⑥☛❹✞✈❍♦rqt⑤✲❷❡❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩
➀
⑤✫❹⑥✩③❺❴③✔❞ ❸▼❞
➀
⑤✬⑩◆✉✞s
➀
⑤✲❷
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩❊❞ ❡❑⑩✷①❋⑥◆♦r✈ qt⑤✲✈❨③
➁
①❀⑥◆③ ❽✩⑤✗s❨⑤
➀
③❄①❍③ts✙✈✗❣④✉☞❝◆❷
⑧
⑥❇③
①❋⑥◆③
➀
③t⑤✗⑩❙⑤☛⑩
⑧❙⑨
⑤☛s✙♦ ⑤✗⑩◆q❄③♣✉✲✇❥①❀⑥◆③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❊❞
⑦ ⑧
⑤✲①❀⑤✔⑥✩⑤✲✈❍③✢✉✲✇✹qt⑤❻✈❍③❄✈

⑧
s❍⑤✣❣ ⑩ ✇ s✙✉
➀
⑤❲❽✩⑥☛❹◆✈❍♦rqt⑤✲❷
❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈♦r✈ ✉❻✇✵①❍③t⑩ qt⑤❻❷▼❷r③
⑧
⑤✏③✰❧✔t
✱
②❭✆ ♣✡❧❭✆☎✖ ✷★♦ ✮
✫
♦
⑨
③t⑩ ✈✟❝◆q◗⑥★⑤✬❽✩⑥☛❹✞✈❨♦▼qt⑤❻❷ ❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✙❹
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩ ❣✘♦r①❋⑥ ❝✩⑩❃❢◆⑩◆✉✯❣ ⑩★❽✩⑤✗s❍⑤
➀
③❄①❨③ts✙✈
➁
❣④③ qt⑤✗⑩ ❝✩❽✚❷
⑧
⑤✲①❍③ ✉☞❝✩s❙⑥❇③❄❷▼♦r③❀✇❝✈ ⑤✔⑥❇✉☞❝◆①✮①❋⑥◆③❄✈❨③❥❽✩⑤✗s❨⑤
➀
③❄①❍③ts✙✈❜❸☛♦
⑨
③t⑩ ⑤ s❍⑤✗⑩
⑧
✉
➀

✈❋⑤
➀
❽◆❷r③✘✇❑s✙✉
➀
①❋⑥◆♦r✈
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩✏❝◆✈❨♦ ⑩◆❸
①❍③❄q❄⑥✩⑩◆♦★❜ ❝◆③❄✈❈✈❍♦
➀
♦r❷ ⑤☛s ①❍✉❲①❀⑥◆✉✗✈❍③➂❣④③♣⑥✩⑤
⑨
③
⑧
♦r✈❍q❅❝◆✈❍✈❍③
⑧
❞ ➇✖✉✞s s❨⑤✗⑩
⑧
✉
➀
✈❋⑤
➀
❽◆❷r③❄✈ ✇❑s✙✉
➀ ➀
⑤✗⑩☛❹❙⑩✩⑤
➀
③
⑧
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈✘✑❙♦ ⑩◆q❄❷s❝
⑧

♦❉⑩◆❸➃⑩◆✉◆s
➀
⑤✲❷
➁ ✫
⑤
➀ ➀
⑤
➁
⑤✗⑩
⑧
❝✩⑩◆♦ ✇❝✉✞s
➀ ⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈✍✑❙①❋⑥◆③ts❦③❙③✡❤◆♦▼✈❨①❁q❄✉◆s❍s✙③✟❷
✈❋❽❇✉✞⑩
⑧
♦ ⑩◆❸ q❄✉✞⑩  ✝❝◆❸✞⑤✲①❨③❥❽✩s✙♦r✉✞s❦✈✘①❋⑥✩⑤✲① ✉✯➃❡③ts✮q❄✉◆⑩
⑨
③t⑩◆♦r③t⑩☛① ❽✩s✙✉✞❽❇③ts✙①❍♦r③❄✈④✇❝✉✞s ❷r③t⑤✗s❍⑩◆♦ ⑩◆❸ ❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①❨♦▼③❄✈✏✈❨♦
➀
♦▼❷ ⑤✗s
①❍✉ ①❋⑥◆✉✗✈❍③✕❽✩s✙✉✞❽❇③ts✙①❍♦r③❄✈✹✉✲✇✮①❀⑥◆③✄❺✏♦ s✙♦rq❄⑥◆❷r③❄①❅❞
❶
⑥◆③❄✈❍③ ❽✩s✙♦r✉✞s❦✈✹⑤✗s✙③✹✈❨✉
➀
③❄①❍♦
➀
③❄✈✹s✙③❀✇❝③ts❍s✙③
⑧
①❍✉ q❄✉✗❷r❷▼③❄q❄①❨♦
⑨

③❄❷▼❹★⑤✲✈
①❋⑥◆③✏♦✍✤✹✖ ②✔t❲♦❅t❲✈①q❋❧✟✷ ✴r❧❭✆■q✾✷★♥◗❞
❶
⑥◆③ s✙③t⑤
⑧
③ts✐♦ ⑩☛①❍③ts✙③❄✈❨①❍③
⑧
♦ ⑩❅❷▼③t⑤☛s❍⑩◆♦ ⑩◆❸✬⑤✔⑥✩✉☞❝◆①✏①❀⑥◆③❄✈❍③
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩◆✈✹✈❀⑥◆✉☞❝◆❷
⑧
s✙③t⑤
⑧
❺✏③
✫
s✙✉◆✉✗①❭❺
❽t➂
✄
➅❇➁
❼✘⑥✩⑤✗❽◆①❨③ts
➂✔➀
❞
  ✂☎✌ ✑❏❨▲❱❭❵✟❱☎✄ ✙➈❨☎❩✝✆✺✑✞✆●❵ ✜✝❵✰❳❆❵ ✌✗✖✠✟✂✁ ❱❭❩✒✆ ❱☎✄❈❳▼❨▲❪❭❴▲❳☎❪✂❨ ✌
❶
⑥◆③✘⑩◆✉✗①❍♦r✉✞⑩ ✉✲✇ ⑤✏s❍⑤☛⑩
⑧
✉
➀
✈❋⑤
➀

❽◆❷r③④❸✗③t⑩◆③ts❍⑤❻❷▼♦★➏❄③❄✈④①❍✉
⑧
✉
➀
⑤✲♦ ⑩◆✈❜q❄✉✞⑩✗①❀⑤✲♦ ⑩◆♦ ⑩◆❸
➀
✉✞s✙③④①❋⑥✩⑤☛⑩✹✉◆⑩◆③
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③✐⑤✲✈
❣④③❄❷r❷➁❞
✫
♦
⑨
③t⑩✢⑤
⑧
✉
➀
⑤✲♦ ⑩ ✡
✔ ☞
✚❩✡❆☞✎✏☛✏✎✏✽☞❖✚ ✑✎✍
➁
❣④③ qt⑤✗⑩ ♦
➀
⑤✲❸✗♦ ⑩◆③✹⑤
➀
❝◆❷r①❍♦
⑨
⑤✗s✙♦ ⑤✲①❨③✹❽✩⑥✗❹◆✈❍♦rqt⑤✲❷✠❽✩s✙✉◆⑥✩⑤✔⑥◆♦r❷▼♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ ✇✵✉◆s ✡●❞ ❡❴✇ ✡✓q❄✉✞⑩✗①❀⑤✲♦ ⑩◆✈✄✉◆⑩◆❷▼❹

⑧
♦▼✈❨qts✙③❄①❍③
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈
➁
①❀⑥◆♦▼✈
⑧
♦r✈❍①❋s❦♦ ⑥❃❝◆①❨♦▼✉◆⑩★♦▼✈   ❝◆✈❍①✕⑤ ❹ ⑩◆♦▼①❨③
q❄✉✗❷r❷r③❄q❄①❍♦r✉✞⑩ ✉✲✇
⑧
♦r✈❍qts✙③❄①❍③ ❽✩⑥☛❹◆✈❍♦rqt⑤✲❷✖❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①❍♦r③❄✈❅❞❏❡❴✇✑✡q❄✉✞⑩✗①❀⑤✲♦ ⑩◆✈❜✉✞⑩◆❷r❹✄q❄✉◆⑩✗①❍♦ ⑩◆❝◆✉☞❝◆✈
⑨
⑤☛s✙♦ ⑤✔⑥◆❷r③❄✈
➁
①❋⑥◆♦r✈
⑧
♦▼✈ ❷
①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ q❄✉◆❝◆❷
⑧
⑥✩③✺❺✵③✔❞ ❸▼❞
➀
⑤
➀
❝◆❷r①❍♦
⑨
⑤☛s✙♦ ⑤✲①❍③✟❷✌⑩◆✉✞s
➀
⑤✲❷
⑧
♦▼✈❨①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ q❄⑥✩⑤✗s❍⑤✲q❄①❍③ts❦♦✙➏❄③

⑧
⑥☛❹ ⑤
➀
③t⑤✗⑩
⑨
③❄q❄①❍✉✞s
⑤✗⑩
⑧
q❄✉
⑨
⑤✗s✙♦ ⑤✗⑩◆q❄③
➀
⑤❻①❋s✙♦★❤❆❞
✫
♦
⑨
③t⑩ ⑤✹s❍⑤☛⑩
⑧
✉
➀
✈❋⑤
➀
❽◆❷r③ ✇ s❦✉
➀
⑤✏❽✩⑥✗❹◆✈❍♦rqt⑤✲❷❡❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩
➁
❣④③
qt⑤✗⑩✿❝✩❽

⑧
⑤✲①❨③ ✉☞❝✩s④❽✩s✙♦r✉✞s❦✈✆⑤✚⑥✩✉☞❝◆① ①❋⑥◆③❥❽✩⑤☛s❍⑤
➀
③❄①❍③ts❦✈✮✉✲✇❡①❋⑥◆③
⑧
♦r✈❍①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❊❞
❶
⑥◆♦r✈✑❝✩❽
⑧
⑤✲①❍♦ ⑩◆❸ ♦r✈④③❄✈❋❽❇③❄q❄♦ ⑤❻❷▼❷r❹
✈❍♦
➀
❽◆❷r③■❣ ⑥◆③t⑩ q❄✉✞⑩  ✝❝◆❸✞⑤✲①❍③✹❽✩s❦♦▼✉◆s✙✈④✇❝✉✞s④①❋⑥◆③✹❽✩⑤✗s❨⑤
➀
③❄①❍③ts✙✈✐⑤✗s✙③✹⑤
⑨
⑤✲♦r❷ ⑤✔⑥◆❷r③ ❺✵✈❍③❄③✹❺✏③
✫
s✙✉✞✉☛①
❽✫➂
✄
➅✔➀
❞
⑦ ✉✯❣
➁
⑥◆✉✯❣④③
⑨
③ts
➁
❷r③❄①●❝◆✈✏q❄✉✞⑩◆✈❨♦

⑧
③ts ①❋⑥◆③ ✇❝✉✗❷r❷r✉◗❣ ♦ ⑩◆❸ ❣ s❦♦ ⑩❃❢☛❷r③✔❞
 
❝✩❽✩❽❇✉✗✈❍③✉❣④③✺❢◆⑩◆✉✯❣ ①❋⑥✩⑤✲①✐①❋⑥◆♦r✈
➀
❝◆❷➋❷
①❍♦
⑨
⑤☛s✙♦ ⑤✲①❍③❲❽✩⑥☛❹✞✈❨♦▼qt⑤❻❷ ❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹
⑧
♦r✈❍①❀s✙♦✾⑥❃❝◆①❍♦r✉✞⑩ qt⑤☛⑩ ⑥✩③★③t⑩◆q❄✉
⑧
③
⑧
♦ ⑩ ✈❨✉
➀
③ ❽✩⑤✗s✙①❍♦rq❅❝◆❷ ⑤✗s
⑨
⑤✫❹✗③❄✈❍♦ ⑤✗⑩✚❷
⑩◆③❄①✰❣④✉✞s✝❢✐✈❍①❋s✹❝◆q❄①✩❝✩s✙③✝✆✟✞☎❞ ❿ ③
➀
⑤✫❹✹⑥✩⑤
⑨
③✮❸✗✉☛①❍①❍③t⑩✏①❀⑥◆♦▼✈❜♦ ⑩☛✇❝✉✞s
➀
⑤❻①❍♦r✉✞⑩ ✑✇✵✉◆s✎③✡❤ ⑤
➀
❽◆❷▼③❖✑✇❑s✙✉
➀
✉◆❝✩s✎qt⑤✔❝◆✈❋⑤✲❷

❢◆⑩◆✉◗❣ ❷▼③
⑧
❸☛③ ⑤✚⑥✩✉☞❝◆①✐①❋⑥◆③
⑧
✉
➀
⑤✲♦ ⑩❊❞✂❡❑⑩✢①❀⑥◆♦▼✈✏✈❨③❄q❄①❍♦r✉✞⑩
➁
❣④③✹q❄✉✞⑩◆✈❍♦
⑧
③ts✐①❋⑥◆③ ①❋⑤✲✈✩❢ ✉❻✇✮❷▼③t⑤☛s❍⑩◆♦ ⑩◆❸✢①❋⑥◆③✄❽✩⑤✗s❨⑤
➀
❷
③❄①❍③ts✙✈✐✉✲✇✠✆
✞
❞④❿ ③
⑧
♦r✈❍q❅❝◆✈❨✈ ✉✞⑩◆❷r❹❈①❋⑥◆③✹✈❋❽❇③❄q❄♦ ⑤✲❷✠qt⑤❻✈❍③❭❣ ⑥◆③ts❦③✄⑤✲❷r❷✎①❋⑥◆③
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈✏♦ ⑩✥✡ ⑤✗s❦③
⑧
♦▼✈❨qts✙③❄①❍③ ⑤✗⑩
⑧
❽✡➅
❣ ⑥◆③ts✙③ ①❋⑥◆③ s❨⑤✗⑩
⑧
✉
➀
✈❀⑤
➀

❽◆❷r③➊❺✵♦➁❞ ③✔❞
➁✎⑧
⑤✲①❋⑤✔⑥✩⑤✲✈❨③
➀
✁
✔✱☞✁ 
✡
☞✎✏☛✏✎✏✽☞
 
✄
✍ q❄✉✞⑩☛①❋⑤✲♦ ⑩◆✈✕⑩◆✉
➀
♦▼✈❨✈❍♦ ⑩◆❸
⑧
⑤❻①❋⑤✟✑
①❋⑥✩⑤✲① ♦▼✈
➁
③t⑤✲q❄⑥✢qt⑤❻✈❍③
 
✞
q❄✉✞⑩◆✈❍♦r✈❍①❍✈✐✉✲✇✮①❋⑥◆③ ✉☞⑥◆✈❍③ts
⑨
⑤✲①❍♦r✉✞⑩✢✉❻✇♠❧✟✷✾✷✩①❋⑥◆③
⑨
⑤✗s❦♦ ⑤✚⑥◆❷▼③❄✈✏♦ ⑩ ✡ ❺➁❣ ③✏✈❀⑤t❹✢①❀⑥✩⑤✲① ✁ ♦▼✈
✿✟②❭✆☎✖ ✷★♦❅✈①♦
➀
❞❦❡ ⑩
 
③❄q❄①❍♦r✉✞⑩

➄✩➁
❣④③✹q❄✉✞⑩◆✈❍♦
⑧
③ts ①❋⑥◆③
➀
✉◆s✙③
⑧
♦ ➎ q❅❝◆❷▼①✕❽✩s✙✉☞⑥◆❷r③
➀
❣ ⑥◆③ts✙③ ✁ q❄✉✞⑩☛①❋⑤✲♦ ⑩◆✈
➀
♦r✈❍✈❨♦ ⑩◆❸
⑧
⑤✲①❋⑤➄❞
⑨
❝✩⑩☛①❍♦ ⑩◆③⑧❺
❽t➂✗➂✯➅◆➀
⑤✗⑩
⑧
❼ ③❄qr❢❻③ts
➀
⑤✗⑩⑤✗⑩
⑧✛✫
③❄♦r❸✗③ts➂❺
❽t➂✗➂✯➅☞➀ ⑧
♦r✈❍q❅❝◆✈❍✈✢①❋⑥◆③✢qt⑤✲✈❨③✏❣ ⑥◆③ts✙③✥✡
➀
⑤✫❹
q❄✉✞⑩☛①❋⑤✲♦ ⑩ q❄✉✞⑩☛①❍♦ ⑩☞❝◆✉◆❝◆✈
⑨

⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈❅❞
❿ ⑥◆③t⑩ ⑤
⑧
⑤❻①❋⑤✔⑥✩⑤✲✈❍③ ✁ ♦r✈ ⑤✢s❍⑤✗⑩
⑧
✉
➀
✈❋⑤
➀
❽◆❷r③✕✇❑s✙✉
➀
⑤
➀
❝◆❷r①❍♦
⑨
⑤✗s✙♦ ⑤✲①❍③✢❽✩⑥✗❹◆✈❍♦rqt⑤✲❷④❽✩s✙✉☞⑥✩⑤✔⑥◆♦r❷r♦r①✌❹
⑧
♦▼✈ ❷
①❋s✙♦✾⑥❃❝◆①❍♦r✉✞⑩❈①❋⑥✩⑤❻① qt⑤✗⑩ ⑥❇③✄③t⑩◆q❄✉
⑧
③
⑧
♦ ⑩ ✆ ✞
➁
❣④③✕✈❍♦
➀
❽◆❷r❹✬✈❀⑤t❹✢①❀⑥✩⑤✲① ✁ ♦r✈✹⑤✢s❍⑤☛⑩
⑧
✉
➀

✈❀⑤
➀
❽◆❷r③ ✇ s✙✉
➀
✆✟✞❊❞
⑦
✈ ⑤✗⑩✷③✡❤ ⑤
➀
❽◆❷▼③
➁
q❄✉◆⑩◆✈❍♦
⑧
③ts ①❋⑥◆③
⑧
✉
➀
⑤✲♦ ⑩ ✡✓q❄✉✞⑩◆✈❍♦r✈❍①❍♦ ⑩◆❸★✉✲✇✏①✤❣④✉ ⑥◆♦ ⑩✩⑤☛s✙❹
⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③❄✈✛✚❙⑤✗⑩
⑧✄✂
❞➈➍❪③❄①
 
✡✆☎
☞
 
✡✞✝☎
☞
 
✝✡✟☎
➁

⑤✗⑩
⑧  
✝✡✠✝☎
⑧
③t⑩◆✉✗①❍③ ①❋⑥◆③✄❽✩⑤☛s❍⑤
➀
③❄①❍③ts❦✈●❺❴♦①❞ ③✔❞
➁
❽✩⑥☛❹✞✈❍♦rqt⑤✲❷❜❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①❍♦r③❄✈
➀
✇✵✉✞s✆①❋⑥◆③✳ ✌✉☛♦ ⑩☛①✐✈❋❽✩⑤✲q❄③
✉✲✇✑✡
➁
❣ ⑥◆③ts✙③
 
✡✡✝☎
♦r✈ ①❀⑥◆③ ❽✩⑥✗❹◆✈❍♦rqt⑤✲❷❡❽✩s✙✉☞⑥✩⑤✚⑥◆♦▼❷r♦r①✙❹ ✉✲✇❡①❋⑥◆③✐③
⑨
③t⑩☛①❙❣ ⑥◆③ts✙③❄✚ ♦▼✈ ①❋s✝❝◆③✏⑤✗⑩
⑧☛✂
♦r✈ ✇ ⑤✲❷r✈❍③
➁
⑤✗⑩
⑧
✈❍✉
✉✞⑩❊❞✛❺❁⑦✘✉✗①❨③ ①❋⑥✩⑤❻①
➁
♦ ⑩✏❝◆✈❨♦ ⑩◆❸ ①❋⑥◆③✏✉
⑨
③ts✝⑥✩⑤☛s

➁
❣④③✹⑤✗s✙③
⑧
③t❽✩⑤✗s✙①❨♦ ⑩◆❸ ✇❑s✙✉
➀
✉☞❝✩s ✈❍①❋⑤✗⑩
⑧
⑤☛s
⑧
⑩◆✉✗①❋⑤✲①❨♦▼✉◆⑩❊❞
➀✕❶
⑥◆③t⑩
➁
✈❋⑤✫❹◆♦ ⑩◆❸✢①❀⑥✩⑤✲①✏✁ ♦▼✈✕⑤✢s❍⑤✗⑩
⑧
✉
➀
✈❀⑤
➀
❽◆❷r③✕✇❑s✙✉
➀
①❋⑥◆③ ⑩◆③❄①✰❣④✉✞s✝❢✢✈❨①❋s✝❝◆q❄①✩❝✩s✙③✕q❄✉✞⑩☛①❋⑤✲♦ ⑩◆♦ ⑩◆❸❁⑩◆✉✬⑤☛s✙q✺⑥✩③❄①✰❣④③❄③t⑩
✚★⑤✗⑩
⑧☞✂✤➁
♦r✈✹①❋⑥◆③✢⑤✲✈❍✈❍③ts❦①❍♦r✉✞⑩♣①❋⑥✩⑤✲① ①❋⑥◆③ ❽✩⑤✗s❨⑤
➀
③❄①❍③ts✙✈ ✉✲✇✘①❋⑥◆③✲ ✙✉✗♦ ⑩✗① ✈❋❽✩⑤✲q❄③ ✈❋⑤✲①❍♦r✈✙✇❝❹♣①❋⑥◆③ ♦ ⑩
⑧
③t❽❇③t⑩
⑧

③t⑩◆q❄③
q❄✉✞⑩◆✈❍①❀s❍⑤✲♦ ⑩✗①❨✈
 
✡✆☎
✔  
✡
 
☎✂☞
 
✡✡✝☎
✔  
✡
 
✝☎✝☞❡⑤✗⑩
⑧
✈❍✉✢✉✞⑩
➁
❣ ⑥◆③ts❦③❖✑✇✵✉✞s ③✡❤ ⑤
➀
❽◆❷r③❖✑
 
✡
✔  
✡✆☎
✒  
✡✡✝☎ ♦▼✈ ①❋⑥◆③
❽✩⑥☛❹✞✈❍♦rqt⑤✲❷✖❽✩s❦✉☞⑥✩⑤✔⑥◆♦r❷r♦▼①✙❹ ⑤✲✈❍✈❨✉✞q❄♦ ⑤✲①❍③
⑧
❣✘♦r①❋⑥ ①❋⑥◆③④③
⑨

③t⑩✗①▲❣ ⑥◆③ts✙③★✚✕♦r✈❜①❋s✹❝◆③✔❞✼❡ ①❜♦r✈✮⑩◆✉✗①
⑧
♦➋➎ q❅❝◆❷r①✮①❍✉✐✈❋⑥◆✉✯❣①❋⑥✩⑤✲①
①❋⑥◆♦r✈✄⑤❻✈❍✈❍③ts✙①❍♦r✉✞⑩❅♦▼✈✕③✡❜❃❝◆♦
⑨
⑤✲❷r③t⑩☛①✄①❨✉✬①❋⑥◆③ ⑤❻✈❍✈❍③ts✙①❍♦r✉✞⑩❅①❋⑥✩⑤✲①✏①❋⑥◆③
⑧
⑤❻①❋⑤✔⑥✩⑤✲✈❍③ ✁ qt⑤✗⑩⑥❇③
⑧
③❄q❄✉
➀
❽✩✉✗✈❨③
⑧
♦ ⑩☛①❍✉
①✰❣④✉
➀
❝◆❷▼①❨♦ ⑩◆✉
➀
♦ ⑤✲❷❜✈❋⑤
➀
❽◆❷r③❄✈✎✄ ①❋⑥◆③✕✉☞⑥◆✈❍③ts
⑨
⑤✲①❍♦r✉✞⑩◆✈✏✉✲✇✥✚♣⑤✗s❦③✄⑤
➀
❝◆❷r①❍♦ ⑩◆✉
➀
♦ ⑤✲❷❜✈❋⑤
➀
❽◆❷▼③■❣✘♦r①❋⑥♣❽✩⑤✗s❨⑤
➀

③❄①❍③ts
 
✡
➁
⑤☛⑩
⑧
①❋⑥◆③✹✉☞⑥◆✈❨③ts
⑨
⑤✲①❨♦▼✉◆⑩◆✈✘✉✲✇
✂
⑤✗s❦③✹⑤
➀
❝◆❷▼①❨♦ ⑩◆✉
➀
♦ ⑤✲❷✠✈❀⑤
➀
❽◆❷r③✂❣✘♦r①❋⑥✬❽✩⑤☛s❍⑤
➀
③❄①❍③ts
 
☎
❞
⑦
✈✏⑤✗⑩◆✉✗①❋⑥◆③ts④③✡❤✩⑤
➀
❽◆❷r③
➁
✈✩❝✩❽✩❽❇✉✗✈❍③■❣④③✄⑤✲✈❨✈❍③ts✙①✘①❋⑥✩⑤❻① ⑤
⑧
⑤❻①❋⑤✔⑥✩⑤✲✈❍③ ✇✵✉◆s④✉☞❝✩s ①✤❣④✉

⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③
⑧
✉
➀
⑤✲♦ ⑩ ♦▼✈
⑤ s❍⑤☛⑩
⑧
✉
➀
✈❋⑤
➀
❽◆❷▼③ ✇ s❦✉
➀
①❋⑥◆③✹⑩◆③❄①✰❣④✉✞s✝❢✕✈❨①❋s✝❝◆q❄①✩❝✩s✙③✵✚✍✌
✂
❞❙❼ ③ts✙③
➁
①❀⑥◆③ts✙③✹⑤✗s✙③✹⑩◆✉ q❄✉✞⑩◆✈❍①❋s❨⑤✲♦ ⑩✗①❍✈ ✉✞⑩ ①❋⑥◆③
❽✩⑤✗s❍⑤
➀
③❄①❍③ts✙✈✎✉✲✇ ①❀⑥◆③  ✙✉✗♦ ⑩☛①❜✈❋❽✩⑤✲q❄③✔❞▲➇❆❝✩s✙①❀⑥◆③ts
➀
✉✞s✙③
➁
①❀⑥◆♦▼✈✮⑤❻✈❍✈❍③ts✙①❍♦r✉✞⑩ ♦
➀
❽◆❷r♦r③❄✈④①❋⑥✩⑤✲①❜①❋⑥◆③
⑧
⑤✲①❋⑤✚⑥✩⑤✲✈❍③✮♦r✈

➀
⑤
⑧
③
❝✩❽ ✉✲✇✥⑤✲①
➀
✉✗✈❍① ①❋⑥✩s✙③❄③✂⑥◆♦ ⑩◆✉
➀
♦ ⑤✲❷❡✈❋⑤
➀
❽◆❷▼③❄✈☛✄✛❺
❽❅➀
①❋⑥◆③ ✉◆⑥◆✈❍③ts
⑨
⑤❻①❍♦r✉✞⑩◆✈④✉✲✇❀✚✢⑤✗s✙③✏⑤●⑥◆♦ ⑩◆✉
➀
♦ ⑤❻❷ ✈❀⑤
➀
❽◆❷r③✂❣✘♦r①❋⑥
❽✩⑤✗s❍⑤
➀
③❄①❍③ts
 
✡
➁
❺
➇✔➀
①❀⑥◆③✘✉☞⑥◆✈❍③ts
⑨
⑤✲①❍♦r✉✞⑩◆✈ ✉✲✇

✂
♦ ⑩ ①❀⑥◆✉✗✈❍③✘qt⑤✲✈❨③❄✈❦❺❴♦ ✇✠⑤✗⑩☛❹
➀
❣ ⑥◆③ts❦③❣✚ ♦r✈✮①❋s✝❝◆③✐⑤✗s✙③ ⑤✂⑥◆♦ ⑩◆✉
➀
♦ ⑤✲❷
✈❋⑤
➀
❽◆❷▼③❫❣✘♦r①❋⑥♣❽✩⑤✗s❍⑤
➀
③❄①❨③ts
 
☎
✄
✡
➁
⑤✗⑩
⑧
❺
✁✔➀
①❀⑥◆③✄✉◆⑥◆✈❍③ts
⑨
⑤❻①❍♦r✉✞⑩◆✈✏✉✲✇
✂
♦ ⑩♣①❋⑥◆✉✗✈❍③✕qt⑤✲✈❨③❄✈✺❺❴♦ ✇✆⑤✗⑩☛❹
➀
❣✐⑥◆③ts✙③✦✚
♦r✈✏✇❑⑤✲❷r✈❍③ ⑤✗s✙③ ⑤✿⑥◆♦ ⑩◆✉
➀
♦ ⑤✲❷✮✈❋⑤

➀
❽◆❷r③✉❣✘♦r①❋⑥♣❽✩⑤✗s❍⑤
➀
③❄①❍③ts
 
☎
✄
✝✡
❞✹❼✆✉✞⑩◆✈❍③✡❜❃❝◆③t⑩✗①❍❷r❹
➁
①❋⑥◆③ ✉◆q❄q❅❝✩s❍s✙③t⑩◆q❄③❄✈✹✉❻✇✥✚♣♦ ⑩
✁ ⑤✗s✙③✕q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷r❷r❹★♦ ⑩
⑧
③t❽❇③t⑩
⑧
③t⑩✗① ❸✗♦
⑨
③t⑩
 
✡
➁
⑤✗⑩
⑧✎✂
♦ ⑩ qt⑤✲✈❨③
 
⑤✗s✙③ q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷r❷r❹❲♦ ⑩

⑧
③t❽✩③t⑩
⑧
③t⑩☛①
✉✲✇✘①❋⑥◆③ ✉☛①❋⑥◆③ts✏✉◆q❄q❅❝✩s❍s✙③t⑩◆q❄③❄✈ ✉❻✇
✂
♦ ⑩ ✁ ❸☛♦
⑨
③t⑩
 
☎
✄
✡
➁  
☎
✄
✝✡
➁
⑤✗⑩
⑧
✚✷♦ ⑩ qt⑤❻✈❍③
 
❞ ❿ ③ qt⑤✗⑩♣❸◆s❍⑤✗❽✩⑥◆♦rqt⑤✲❷r❷r❹
s✙③t❽✩s✙③❄✈❨③t⑩✗① ①❋⑥◆③✢q❄✉✞⑩
⑧
♦r①❍♦r✉✞⑩✩⑤✲❷➋❷❑♦ ⑩
⑧
③✾❽❇③t⑩
⑧
③t⑩◆q❄③⑤✲✈❍✈❍③ts❦①❍♦r✉✞⑩◆✈ ⑤❻✈❍✈❍✉◆q❄♦ ⑤❻①❍③

⑧
❣✘♦r①❋⑥①❀⑥◆③❄✈❍③❁s❍⑤☛⑩
⑧
✉
➀
✈❋⑤
➀
❽◆❷▼③❄✈
❝◆✈❍♦ ⑩◆❸✢⑤
⑨
⑤t❹☛③❄✈❍♦ ⑤✗⑩✚❷✌⑩◆③❄①✰❣ ✉◆s✝❢✕✈❍①❋s✹❝◆q❄①✩❝✩s✙③✹⑤✲✈✘✈❀⑥◆✉◗❣✐⑩ ♦ ⑩ ➇❜♦r❸☞❝✩s✙③
✏
⑤❃❞
✫
♦
⑨
③t⑩ ①❋⑥◆③✐q❄✉✗❷r❷▼③❄q❄①❨♦▼✉◆⑩✢✉✲✇✥s❨⑤✗⑩
⑧
✉
➀
✈❋⑤
➀
❽◆❷r③❄✈✘✈❋⑥◆✉✯❣ ⑩ ♦ ⑩✿➇❜♦r❸☞❝✩s❦③
✏
⑤
➁
♦r① ♦r✈✘①❨③
➀
❽◆①❍♦ ⑩◆❸ ①❍✉ ⑤✗❽✩❽◆❷r❹ ✉☞❝✩s
✉✞⑩◆③✟❷

⑨
⑤✗s✙♦ ⑤✔⑥◆❷r③✢①❍③❄q❄⑥✩⑩◆♦✙❜❃❝◆③❄✈✕①❍✉✢❷r③t⑤✗s❍⑩✷③t⑤✲q❄⑥ ❽✩⑤✗s❍⑤
➀
③❄①❍③ts✐✈❍③t❽✩⑤✗s❍⑤❻①❍③❄❷r❹✔❞ ➆✐⑩☛✇❝✉✞s✙①✩❝✩⑩✩⑤✲①❨③❄❷▼❹
➁
①❋⑥◆♦r✈✕⑤✗❽✩❽✩s✙✉✞⑤✲q❄⑥
♦r✈❥⑩◆✉☛① q❄✉✞s❨s✙③❄q❄①✑❣ ⑥◆③t⑩❈①❋⑥◆③✕❽✩⑤✗s❍⑤
➀
③❄①❨③ts✙✈ ⑤✗s✙③
⑧
③t❽❇③t⑩
⑧
③t⑩✗①✕⑤✲✈✘✈❋⑥◆✉✯❣ ⑩ ♦ ⑩✢①❋⑥◆③❛❹✖❸☞❝✩s✙③✔❞✑➇✤✉✞s④③✡❤✩⑤
➀
❽◆❷r③
➁
⑤✲✈
❣④③ ✈❨③❄③ ✉◆q❄q❅❝✩s❍s✙③t⑩◆q❄③❄✈ ✉❻✇❣✚⑤✗⑩
⑧
❝✩❽
⑧
⑤✲①❍③✢✉◆❝✩s●⑥❇③❄❷r♦▼③❀✇❝✈✢⑤✔⑥✩✉☞❝◆①
 
✡
➁
✉☞❝✩s❭⑥❇③❄❷▼♦r③❀✇❝✈ ⑤✚⑥✩✉☞❝◆①
 
☎
✄
✡

⑤☛⑩
⑧  
☎
✄
✝✡
❣✘♦r❷r❷✮⑤✲❷r✈❍✉✢q❄⑥✩⑤✗⑩◆❸✗③✔❞
 
❝✩❽✩❽❇✉✗✈❍③
➁
⑥◆✉✯❣④③
⑨
③ts
➁
①❋⑥✩⑤✲①✏⑤✲❷r❷❜✉✲✇✮①❋⑥◆③ ❽✩⑤✗s❨⑤
➀
③❄①❍③ts✙✈✏⑤✗s✙③✕♦ ⑩
⑧
③t❽✩③t⑩
⑧
③t⑩☛①
➁
⑤✲✈✐✈❋⑥◆✉✯❣ ⑩
♦ ⑩➈➇❜♦r❸☞❝✩s✙③
✏
⑥❊❞
❶
⑥◆③t⑩
➁
❽✩s✙✉
⑨

♦
⑧
③
⑧
①❋⑥◆③
⑧
⑤❻①❋⑤✔⑥✩⑤✲✈❍③ ♦r✈ q❄✉
➀
❽◆❷r③❄①❍③
➁
❣④③✢qt⑤✗⑩⑧❝✩❽
⑧
⑤✲①❍③✢③t⑤✲q❄⑥❙❽✩⑤✗s❨⑤
➀
③❄①❍③ts
✈❍③t❽✩⑤✗s❨⑤✲①❍③❄❷r❹✔❞
❽t➆