HAL Id: hal-00261095
https://hal.archives-ouvertes.fr/hal-00261095
Submitted on 9 May 2014
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Inside and outside within combinatorial pyramids
Luc Brun, Walter G. Kropatsch
To cite this version:
Luc Brun, Walter G. Kropatsch. Inside and outside within combinatorial pyramids. Workshop on
graph-based representations in pattern recognition, 2005, Poitiers, France. pp.122-131, �10.1007/978-
3-540-31988-7_11�. �hal-00261095�
✫✭✬✮★✙☛✌✣✯✆✟✞✡✄
✰✂✱✳✲✵✴✷✶✸✱✺✹✼✻✾✽✿✹✳❀✓❁❂✽❄❃❆❅✸❇✚✶✾❈❉✶✸❊❄❋✼✽●❅✸❍✸✲✗■✼❏✟❑
▲◆▼P❖❘◗✸❙◆❚❂❯❱❚✔❲P❳❩❨✵❬◆❭❪❳❴❫❛❵❛❜❛❝
❞ ❲❩❨❄❡❢❚✝❣ ❞ ❲
❫❉❤✔✐❦❥♠❧♥◗✗♦❦♣✚❖rqsq❄❥t❭s♣✟❖❄✉◗✗✈①✇♠♣❦❧③②❛❥♠④♥⑤
⑥✸⑦ ❵ ⑦●⑧ ❚✝♣❦◗✗⑤✼⑨❶⑩❷❖r♣❦⑤❷✈✗◗✟❸
❹✷❡❺⑤♠❻❱❼❘④❽❼❘❥❷❼❘◗P❾❿✐❦❖✷❚✔✐❦➀✵➁♠❥❷❼❘◗①❖❢❯➂♣✚④❆q❷◗➃q✤❣P❥❷❼❘✐❦➀✌♣✚❼❘④♥✐❛⑤
➄
♣✚❼❢❼❘◗✸❖❘⑤❪❳P◗✗✈✸✐❛➅❛⑤❷④❽❼❘④❆✐❦⑤t♣❦⑤♠q❪❡➂➀✌♣✚➅❛◗
➄
❖❘✐●✈✗◗✗❻❢❻❢④♥⑤❷➅❪▼P❖❘✐❦❥♠➁
➆
④♥◗✗⑤❷⑤➇♣✾❬✷⑤♠④♥♦➉➈❄✐❦❾➋➊③◗✸✈①✇❷⑤♠✐❛❧♥✐❦➅❦➌✿❯✝❣➍❥♠❻❱❼❢❖❘④❆♣
➎➐➏✿➑➓➒✔➔❱→➉➣♠➑➇↔✺↕❷➙➇➣✺➛❷➜✼➒✝➔➃➝❷➞✟➟✼➣➉➠➍➔❱➡♠➣➍➢ ❏✟➤ ➣❄➥✳↕✿➦➇➣➓➝❦➦❩➔➂➧♠➑➇➥③➝✿➛✿↔❩➔❢➠✳➒✝➔❢➠❷➧
➨✌➩➭➫✗➯✗➲✟➳➇➵❦➯❛➸ ❡➺❖❢❖❘◗✗➅❛❥❷❧➻♣✟❖✌➁●➌❄❖r♣✚➀✵④❆q❷❻❉♣✟❖❘◗❪➀✌♣❦q❷◗❪✐✚❾◆♣✮❻❱❼r♣❦✈r➼✡✐❦❾❩❻❢❥❷✈✗✈✗◗✗❻❢❻❢④♥♦➽◗✸❧♥➌➾❖❘◗✸❯
q❄❥♠✈✗◗➃q➐➅❦❖r♣✚➁♠✇❷❻t◗✗➀✧➚➉◗➃q❷q❷◗➃q➪④♥⑤➶❼❘✇♠◗➹➁❷❧❆♣❦⑤♠◗❦➈❩❨✿❥♠✈r✇➐➁✿➌✿❖r♣✚➀✵④➻q❄❻s♣✟❖❘◗☎✐❦❾➻❼❘◗✗⑤➘❥❷❻❢◗➃q
➴
④❽❼❘✇♠④♥⑤✮❼❘✇♠◗❉❻❢◗✗➅❦➀✵◗✗⑤●❼r♣✚❼❘④♥✐❛⑤➹♣❦⑤♠q➷❼❘✇❷◗❉✈✗✐❛⑤❷⑤♠◗✗✈①❼❘◗➃q✮✈✸✐❛➀✵➁➉✐❛⑤❷◗✗⑤●❼➬♣❦⑤♠♣❦❧❽➌❄❻❢④♥❻➬❾➻❖r♣❦➀✵◗✸❯
➴
✐❦❖❘➼✿❻✔❼❘✐✾q❷◗✸❼❘◗✸✈✸❼✝➀✵◗➃♣✚⑤♠④♥⑤♠➅✚❾❿❥❷❧➇✐❛➚✿➮❱◗✗✈①❼❘❻✔❼❘✐❛➅❦◗✸❼❘✇♠◗✸❖
➴
④❽❼❘✇➱❼❘✇❷◗✗④❽❖✝❻❢➁➇♣✟❼❘④❆♣❦❧✺♣❦⑤♠q❉❼❘✐❛➁➉✐❦❯
❧♥✐❛➅❦④♥✈➃♣❦❧➓❖❘◗✗❧❆♣✟❼❘④❆✐❦⑤♠❻❢✇❷④❆➁❷❻✗➈✺➊✝✇♠◗➬➅✚❖r♣❦➁♠✇❷❻✙❖❘◗➃q❷❥❷✈✗◗➃q❪④♥⑤❪❼❘✇❷◗✾➁●➌✿❖r♣❦➀✵④❆q✌➀✌♣✗➌✤➚➉◗◆❖❘◗✗➅❦④♥✐❛⑤
♣❦q✚➮❢♣✚✈✗◗✗⑤❷✈✸➌✧➅✚❖r♣❦➁❷✇♠❻✗✃❛q❷❥➇♣✚❧❷➅✚❖r♣❦➁❷✇♠❻➭✐❦❖➋✈✗✐❦➀✧➚❷④❆⑤♠♣✚❼❘✐✚❖❘④➻♣✚❧❷➀✌♣✚➁♠❻✗➈✚❬✷❻❢④♥⑤❷➅◆♣❦⑤●➌➬✐❦❾➉❼❘✇❷◗✗❻❢◗
➅✚❖r♣❦➁♠✇❷❻❐◗✗♣❦✈r✇✵♦➽◗✸❖❢❼❘◗✸❒✾✐❦❾✼♣P❖❘◗✗q❷❥♠✈✸◗➃q✧➅❦❖r♣✚➁♠✇✵◗✗⑤❷✈✗✐✿q❷◗✸❻✔♣✷❖❘◗✗➅❦④♥✐❛⑤✵✐❦❾➉❼❘✇❷◗✙④♥➀✌♣❦➅❛◗❦➈➽❬✷❻❱❯
④♥⑤♠➅◆❻❢④♥➀✵➁❷❧❆◗✙➅✚❖r♣❦➁❷✇♠❻➋✐❛⑤♠◗✩◗➃q❄➅❛◗✙➚➉◗✸❼
➴
◗✗◗✸⑤❉❼
➴
✐✷♦➽◗✸❖❢❼❘④♥✈✗◗✗❻➋◗✗⑤♠✈✸✐✿q❷◗✗❻✂❼❘✇♠◗✙◗✸❒❄④♥❻❱❼❘◗✗⑤❷✈✗◗✩✐❦❾
♣❩✈✗✐❦➀✵➀✵✐❛⑤❉➚➉✐❦❥♠⑤♠q♠♣✚❖❢➌✾➚➉◗✸❼
➴
◗✗◗✸⑤❉❼
➴
✐❩❖❘◗✸➅❛④♥✐❛⑤❷❻✗➈✿❬✷❻❢④♥⑤♠➅◆q❄❥➇♣✚❧♠➅❦❖r♣✚➁♠✇❷❻✔♣✚⑤➇q❉✈✗✐❦➀✧➚♠④❽❯
⑤♠♣✚❼❘✐❦❖❘④❆♣✚❧➉➀✌♣❦➁♠❻✗✃➽◗➃♣❦✈r✇✵✈✗✐❛⑤❷⑤♠◗✗✈①❼❘◗➃q✵➚➉✐❛❥♠⑤♠q♠♣✟❖❢➌❉❻❢◗✗➅❦➀✵◗✗⑤●❼✔➚➉◗✸❼
➴
◗✗◗✸⑤❉❼
➴
✐◆❖❘◗✗➅❦④♥✐❛⑤♠❻✔④❆❻
♣✚❻❢❻❢✐●✈✗④❆♣✚❼❘◗➃q✵❼❘✐➬✐❛⑤♠◗✩◗➃q❄➅❛◗❛➈✿❭❪✐❦❖❘◗✗✐✟♦➽◗✸❖➃✃➽❻❢➁➉◗✗✈✗④❆♣❦❧➉◗➃q❄➅❛◗✗❻❐✈➃♣❦❧♥❧♥◗➃q✵❧♥✐●✐❛➁❷❻✔➀✌♣✗➌✧➚➉◗✩❥❷❻❢◗➃q
❼❘✐❪q❷④❽❮✺◗✸❖❘◗✗⑤●❼❘④❆♣✚❼❘◗✧♣✤❻❢➁➉◗✗✈✗④❆♣✚❧➋❼❺➌❷➁➉◗✾✐❦❾✙♣❛q✚➮❱♣❦✈✗◗✸⑤♠✈✸➌
➴
✇❷◗✸❖❘◗❉✐❛⑤❷◗✧❖❘◗✗➅❦④❆✐❦⑤➹❻❢❥❄❖❢❖❘✐❛❥♠⑤♠q❷❻
❼❘✇❷◗✷✐❦❼❘✇❷◗✸❖➃➈✿❰☎◗➍❻❢✇♠✐
➴
④♥⑤➱❼❘✇❷④♥❻✙♣✚❖❢❼❘④♥✈✗❧♥◗❩❼❘✇➇♣✟❼✔❼❘✇❷◗✷❧♥✐●✐❛➁✤④❆⑤❄❾❿✐✚❖❘➀✌♣✚❼❘④♥✐❛⑤❪q❷✐●◗✗❻✝⑤❷✐❦❼✩♣✚❧❽❯
❧♥✐
➴
❼❘✐✌q❄④♥❻❱❼❘④❆⑤❷➅❛❥❷④❆❻❢✇❪④❆⑤❷❻❢④❆q❷◗✾♣❦⑤♠q❪✐❛❥❄❼❘❻❢④➻q❄◗◆✐❦❾➭❼❘✇❷◗◆❧❆✐●✐❦➁t➚●➌✤❧♥✐●✈➃♣✚❧➓✈✗✐❦➀✵➁♠❥❷❼r♣✟❼❘④♥✐❛⑤♠❻✗➈
❰➹◗✤➁❄❖❘✐✚♦✿④❆q❷◗✤♣t➀✵◗✸❼❘✇♠✐✿q☎➚♠♣❦❻❢◗➃q➾✐❛⑤✡❼❘✇❷◗✤✈✗✐❦➀✧➚❷④❆⑤♠♣✚❼❘✐✚❖❘④➻♣✚❧✙➁●➌❄❖r♣✚➀✵④❆q✓❾Ï❖r♣✚➀✵◗
➴
✐✚❖❘➼
➴
✇❷④❆✈r✇➷❥♠❻❢◗✗❻✩❼❘✇♠◗➬✐✚❖❘④❆◗✸⑤✿❼r♣✟❼❘④♥✐❛⑤➷◗✸❒❄➁♠❧♥④♥✈✗④❽❼❘❧❽➌t◗✗⑤♠✈✸✐✿q❷◗➃qs➚●➌✤✈✗✐❛➀Ð➚♠④♥⑤➇♣✟❼❘✐❦❖❘④❆♣❦❧➓➀✌♣✚➁♠❻✙❼❘✐
q❄◗✸❼❘◗✸❖❘➀✵④♥⑤♠◗❩④♥⑤❷❻❢④➻q❄◗➬♣❦⑤♠q✤✐❛❥❄❼❘❻❢④❆q❷◗
➴
④❽❼❘✇s❧♥✐●✈➃♣❦❧✼✈➃♣❦❧♥✈✗❥❷❧♥❥♠❻✗➈
Ñ Ò♠Ó➍Ô➉Õ✺Ö◆×ÐØ✾Ù③Ô✺Ú❘Ö➍Ó
Û
✹➶ÜÏ✶✸✶①❇❦Ý❄✱✺❃❿✽✿✶✌❋➇Þ➇✶✗✽✿ßsÜÏ❀áàâ➽ã✷Ü❿❍✤❀✺❇✟ä✳✹✺❇❛❀➶✽❷❍✤✽å❍❘❅✗✽❄✲✗æ❂❊✿ç✾❍①✱✳✲✚✲✚❇❦❍✸❍rÜÏè❄❇❦❃➻Þ❂✶①❇❛❀➉✱✳✲✚❇❦❀éÝ❷✶✸✽❄❋✺■✳❍❦ê
ë❩■✺❇❉■✺Ü➻❇❦✶✸✽❄✶✸✲✗■✳ÜÏ✲❦✽✿❃✳✶✸❇✚❋✳✶①❇❛❍r❇❦✹❷❅✗✽●❅✸Ü➻❊❷✹➷❋✺✶✸❊●è♠Ü❿❀➉❇❛❀➷ì➇Þ✮❍①✱✳✲✗■✮❋➇Þ➇✶✸✽❄ßsÜÏ❀✺❍✷✽✿❃Ï❃Ï❊●í➬❍➍❅✸❊✤✶✸❇❦❀✺✱✳✲✟❇✧❅①■✳❇
✲✟❊❄ßs❋✺✱✺❅✸✽●❅✸Ü➻❊❷✹✳✽✿❃❷✲✟❊❷❍r❅➋❊❄ç♠ßt✽✿✹➇Þ✧Ý❄✶✗✽✿❋✺■❉✽✿❃ÏÝ❄❊❷✶①Ü➻❅①■✳ßs❍✂✱✳❍rÜÏ✹✺Ý◆✶✸❇❦❀➉✱✼✲✟❇❦❀❉è❷❇✚✶✗❍rÜÏ❊❄✹✼❍➓❊✿ç➇❅①■✺❇➍Ü➻✹✺Ü➻❅①Ü❿✽✿❃
Ý❄✶✗✽✿❋✺■✂ê✺ë❩■✳ÜÏ❍❩✶✸❇✚❋✺✶✸❇❦❍①❇✚✹♠❅✗✽●❅①ÜÏ❊❄✹☎✽✿❃❿❍①❊✤❋✺✶✸❊●è➇ÜÏ❀✺❇❦❍◆✽❪✹✺Ü❿✲✟❇❉ç❶✶✗✽✿ßs❇✚í✷❊❄✶✸æsç❶❊❄✶◆Ý❷✶✸✽❄❋✺■✓✽❄❃➻Ý❷❊❄✶✸Ü❆❅✸■✺ßt❍
ì✳✽❄❍①❇❦❀✓❊❄✹✡✽s❀➉ÜÏè♠Ü❿❀➉❇✌✽❄✹✳❀☎✲✟❊❄✹✼î❷✱✳❇✚✶◆❍❘❅✸✶✸✽✿❅①❇❦Ý❄Þ❄ê✺ï✔ÜÏ✹✳✽✿❃Ï❃ÏÞ❄ð➉❅✸■✺❇✵Ü➻✶✸✶✸❇✚Ý❄✱✳❃Ï✽❄✶✷❋➇Þ➇✶✗✽✿ßsÜÏ❀✳❍P❋✳✶①❊●è➇Ü❿❀➉❇
✽tÝ❄❃Ï❊❄ì✳✽❄❃➋✶✸❇✚❋✺✶✸❇❦❍①❇✚✹♠❅✗✽●❅①ÜÏ❊❄✹☎í◆■✺Ü❿✲✗■➾ßt✽➽Þ➹ì✼❇✤✱✳❍r❇❛❀☎❅①❊✓✽❄❀✺❀☎ç❶✱✳✶r❅✸■✺❇✚✶❉✲✟❊❷✹✳❍❘❅✸✶✸✽❄Ü➻✹♠❅✗❍◆❊❄✹➾ßt✽❄✹♠Þ
Ý❄✶✗✽✿❋✺■➹✽✿❃ÏÝ❄❊❄✶✸Ü➻❅①■✺ßt❍❦ê
ñ ❰éò
➴
♣❦❻◆❻❢❥♠➁❷➁➉✐❦❖❢❼❘◗➃q➷➚●➌t❼❘✇♠◗✧❣P❥♠❻❱❼❢❖❘④❆♣✚⑤☎❨✿✈✗④♥◗✗⑤♠✈✗◗✧⑩♠✐❛❥❷⑤➇q❷♣✚❼❘④♥✐❛⑤✮❥♠⑤♠q❷◗✸❖◆➅✚❖r♣❦⑤●❼❘❻
➄ ⑥✗⑦
❫❦❫➽❝➃❯❺❡❺❲❩⑩
❍r❇❦Ý❄ßs❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹s✽✿✹✳❀❪❅✸■✺❇➬✲✟❊❷✹✺✹✺❇❛✲➃❅①❇❛❀t✲✟❊❷ß❪❋③❊❄✹✳❇✚✹♠❅➍✽✿✹✳✽❄❃➻Þ➉❍①ÜÏ❍✔ç❶✶✗✽✿ßs❇❦íP❊❷✶①æ➉❍❩àâ➉ð✂✁✿ã➂ê❄ë❩■✳❇➬❀➉✱✳✽✿❃
Ý❄✶✗✽✿❋✺■☎✄➍Þ♠✶✗✽✿ßsÜ❿❀✺❍➭ÜÏ✹♠❅①✶✸❊➇❀✺✱✳✲✟❇❛❀✵ì➇Þ✧❈❉✶✸❊❄❋✳✽✿❅✸❍✸✲✗■tà✆✿ã➇✽❄✶①❇➍❀✺❇✟ä✳✹✺❇❛❀✌✽❄❍❐✽✾❍r❅✸✽❷✲✗æÐ❊❄ç✳❀➉✱✳✽✿❃❷Ý❄✶✗✽✿❋✺■✼❍
❍r✱✳✲❦✲✟❇❛❍①❍①Ü➻è❷❇✚❃ÏÞ❴✶✸❇❦❀✺✱✳✲✟❇❛❀➭ê➍❁ Ü➻❅①■✺ÜÏ✹ ❍r✱✳✲✗■ ❋➇Þ➇✶✗✽✿ßsÜÏ❀✳❍t❅①■✳❇åßt✽✿❋✳❋✺Ü➻✹✳Ý➶❊✿ç➱✽➐✹✺❊❄✹á❍①✱✺✶✸è➇Ü➻è➇ÜÏ✹✺Ý
è❄❇✚✶①❅①❇✞✝✤❅✸❊➱✽➱❍①✱✺✶✸è➇Ü➻è➇ÜÏ✹✺Ý✵❊❄✹✺❇✾ÜÏ❍P❋✼❇❦✶rç❶❊❷✶①ßs❇❛❀sì♠Þ❪❅✸■✺❇Ð✲✚❊❄✹♠❅①✶✗✽❄✲✟❅①ÜÏ❊❄✹s❊✿ç➭❅✸■✺❇✚ÜÏ✶P✲✚❊❄ßsßs❊❄✹t❇❦❀✺Ý❄❇❄ê
ë❩■✺❇➬✲✟❊❷✹❷❅✸✶✸✽❷✲➃❅✸Ü➻❊❷✹✤❊❄ç➭✽✧Ý❷✶✸✽❄❋✺■s✶①❇❛❀➉✱✳✲✟❇❛❍✔❅①■✺❇✾✹♠✱✳ß➱ì③❇✚✶✩❊❄ç③è❷❇✚✶①❅①Ü❿✲✟❇❦❍✝í◆■✳Ü➻❃Ï❇➬ßt✽✿ÜÏ✹♠❅✸✽✿ÜÏ✹✺ÜÏ✹✺Ý❉❅①■✳❇
✲✟❊❄✹✳✹✺❇❦✲✟❅①ÜÏ❊❄✹✳❍✩❅①❊➱❊❄❅①■✺❇❦✶Pè❷❇✚✶①❅①Ü❿✲✟❇❛❍✚ê
Û
❍✷✽➱✲✟❊❷✹✳❍①❇❦î♠✱✺❇✚✹✼✲✟❇✾❍①❇✚❃➻ç✂❃➻❊➇❊❷❋✳❍➍❊❷✶➍ß✤✱✺❃❆❅✸Ü➻❋✳❃➻❇Ð❇❦❀➉Ý❷❇❦❍Pßs✽➽Þ
❊➇✲❦✲✟✱✺✶❛ð✳❍①❊❄ßs❇✵❊✿ç✝❅✸■✺❇✚ß✑ì✼❇❦Ü➻✹✳Ý➷✶①❇❛❀➉✱✺✹✳❀✳✽✿✹♠❅➬Ü➻✹☎❅✸■✳✽●❅✾❅①■✺❇❦Þ➹❀➉❊✮✹✺❊✿❅✾❍①✱✺✶✸✶①❊❷✱✺✹✳❀☎✽✿✹➇Þ✮❋✼✽✿✶①❅➬❊✿ç
❅①■✺❇sÝ❄✶✗✽✿❋✳■✂ê✠✟➉✱✳✲✗■ ❇❛❀➉Ý❄❇❛❍✧❍①✱✺✶✸✶①❊❷✱✺✹✳❀☎❅✸■➇✱✳❍☛✡r❇✚ßs❋➉❅❘Þ✡ÜÏ✹✳❍①ÜÏ❀✺❇✌☞➹✽✿✹✳❀å✽✿✶✸❇❪✲❦✽✿❃Ï❃➻❇❛❀✡❇✚ßs❋➉❅❘Þ ❍①❇✚❃➻ç
❃➻❊➇❊❄❋✼❍✚ê✔ë❩■✺❇❦❍①❇✮✶✸❇❦❀➉✱✳✹✳❀✺✽✿✹♠❅➱❇❛❀➉Ý❄❇❛❍✌ßt✽➽Þ➪ì✼❇✓❃➻❊➉✲❦✽✿❃Ï❃➻Þ➪✲✗■✳✽✿✶✗✽❄✲✟❅①❇❦✶①Ü✎✍✚❇❛❀åÜÏ✹é❅✸■✺❇✓❀➉✱✼✽✿❃✷❊✿ç◆❅①■✳❇
Ý❄✶✗✽✿❋✺■➹✽✿✹✳❀☎❍①✱✺❋✺❋✺✶✸❇❦❍✸❍r❇❛❀✮ì➇Þ✮✽❪✶✸❇✚ßs❊●è●✽✿❃➭❍r❅①❇✚❋➋ê
✏ ✹✺❇✌❋✳✽❄✶r❅✸ÜÏ✲✚✱✺❃Ï✽❄✶◆❅❘Þ➇❋✼❇✤❊✿ç➍✽❷❀✒✑r✽❄✲✚❇✚✹✳✲✚Þ✓ì③❇✟❅❘í✷❇✚❇❦✹☎❅❘íP❊➷✶✸❇✚Ý❷Ü➻❊❷✹✳❍◆Ü❿❍Ð✲❦✽✿❃Ï❃➻❇❛❀➹❅①■✺❇✔✓✖✕✘✗✞✙✛✚✢✜✤✣✦✥
✶①❇❦❃Ï✽✿❅①ÜÏ❊❄✹✳❍①■✺ÜÏ❋✂ê✚ë❩■✺❇PÜ➻✹✳✲✚❃➻✱✼❀➉❇❦❍➋✶①❇❦❃Ï✽✿❅①ÜÏ❊❄✹✳❍①■✺ÜÏ❋✵✶①❇❦❃Ï✽✿❅①❇❦❍➭❅❘íP❊◆✶✸❇✚Ý❷Ü➻❊❷✹✳❍✚ð✚❊❄✹✺❇✩Ü❿❍✂❋✳❃Ï✽❷✲✟❇❦❀★✧❊❄✱✺❅✸❍①ÜÏ❀➉❇✩✧➻ð
❅①■✺❇s❊✿❅✸■✺❇✚✶❉Ü❿❍✪✧ÜÏ✹✳❍①ÜÏ❀➉❇✩✧✂✽✿✹✳❀ ÜÏ❍✵❍①✱✺✶✸✶①❊❷✱✺✹✳❀➉❇❛❀✡ì➇Þ✡❅①■✳❇❪❊❷✱➉❅✸❍①Ü❿❀➉❇✤✶✸❇✚Ý❷Ü➻❊❷✹➾ÜÏ✹ ❅✸■✺❇s❇✚ß➱ì③❇❦❀✳❀➉Ü➻✹✳Ý
✫
❍①❇✚❇t❇❄êÝ✳ê➓❅✸■✺❇➷✽✿✶✸✶✸❊●í➬❍✾ÜÏ✹éï❐ÜÏÝ✳ê✭✬✯✮➃ê
Û
❍①❇✚❃➻ç✖✰❱❃➻❊➇❊❄❋åÜ➻✹✼✲✟Ü❿❀➉❇✚✹♠❅✵❅①❊☎❅✸■✺❇tè❄❇❦✶r❅✸❇✦✝➾❇❦✹✳✲✟❊➉❀➉ÜÏ✹✺Ý☎❅①■✳❇
❊❄✱➉❅✗❍rÜ❿❀➉❇✾❍①✱✺✶✸✶①❊❷✱✺✹✳❀✺❍✝❅✸■✺❇➬ÜÏ✹✳❍①ÜÏ❀➉❇
✫
ï✔ÜÏÝ✳ê✯✱
✫
✽✯✮✲✮➃ê♠ë❩■✺❇➬❇❛❀➉Ý❄❇✾✲✚❊❄✶✸✶①❇❛❍r❋③❊❄✹✼❀➉Ü➻✹✳ÝÐ❅✸❊✵❅①■✳❇Ð❍①❇✚❃➻ç✖✰➂❃Ï❊➇❊❄❋
Ü➻✹ ❅✸■✺❇å❀➉✱✼✽✿❃✾Ý❷✶✸✽❄❋✺■ ÜÏ❍✓✽➪ì✺✶✸ÜÏ❀➉Ý❷❇ ✲✟❊❷✹✺✹✺❇❛✲➃❅①ÜÏ✹✺ÝéÜÏ✹✳❍①ÜÏ❀➉❇❂✽✿✹✳❀➘❊❷✱➉❅✸❍①ÜÏ❀✺❇➾✶①❇❦Ý❄ÜÏ❊❄✹✂ê➍❁ Ü❆❅✸■✺❊❄✱➉❅
❊❄✶✸Ü➻❇❦✹❷❅✗✽●❅✸Ü➻❊❷✹➶❅✸■✺❇➾❇✦✝✺✲✗■✳✽❄✹✺Ý❄❇➹❊✿ç✵ÜÏ✹✳❍①ÜÏ❀➉❇➾✽❄✹✳❀➘❊❄✱➉❅✗❍rÜ❿❀➉❇➾❀➉❊➇❇❛❍t✹✺❊✿❅➹✲✗■✳✽✿✹✺Ý❷❇➹❅①■✺❇☎❅✸❊❄❋③❊❄❃Ï❊❄Ý❄Þ
❊✿ç✾❅✸■✺❇➹Ý❄✶✗✽✿❋✺■✂ð✔❅✸■✺❇➹❅❘íP❊❂Ý❄✶✗✽✿❋✺■✼❍✤✽❄✶①❇✓Ü➻✹✳❀✺ÜÏ❍r❅①ÜÏ✹✺Ý❄✱✳ÜÏ❍①■✳✽✿ì✳❃➻❇❷ê✳✟➇✱✳✲✗■➶❃Ï❊➇❊❄❋✳❍❪í◆■✺Ü❿✲✗■❴✽❄✶①❇➹✹✺❊❄❅
❋✺✶①❇❛❍r❇❦✹♠❅Ð✽●❅➬❅✸■✺❇➱ì✼✽❄❍①❇✌❃➻❇❦è❄❇❦❃❐✽✿✶✸❇➱✲✚✶①❇❛✽●❅①❇❛❀☎ì➇Þ✮❅✸■✺❇✤❍①✱✳✲✚✲✚❇❦❍✸❍rÜÏè❄❇✌✲✚❊❄✹♠❅①✶✗✽❄✲✟❅①ÜÏ❊❄✹✡✽✿✹✼❀☎✶①❇❦ß❪❊●è●✽❄❃
❊❄❋③❇✚✶✗✽●❅①ÜÏ❊❄✹✼❍✷✽❄❋✺❋✺❃ÏÜ➻❇❛❀✓❅①❊sì✺✱✺ÜÏ❃Ï❀➹❅✸■✺❇✵❋➇Þ➇✶✸✽❄ß❪Ü❿❀➭ê
Û✵✴
❊❷ß➱ì✺ÜÏ✹✳✽✿❅①❊❄✶✸Ü❿✽✿❃✶✄✩Þ➇✶✗✽✿ßsÜÏ❀✮ÜÏ❍◆❀✺❇✟ä✳✹✺❇❛❀☎✽❄❍❩✽s❍❘❅✗✽❄✲✗æ➷❊❄ç✔❍①✱✳✲✚✲✚❇❦❍✸❍rÜÏè❄❇❦❃➻Þt✶✸❇❦❀➉✱✼✲✟❇❦❀➹✲✟❊❷ß✪✰
ì✺Ü➻✹✼✽●❅①❊❷✶①Ü❿✽✿❃❐ßt✽✿❋✳❍❦ê③ë❩■✳❇✤✶✸❇❦❀➉✱✼✲➃❅①ÜÏ❊❄✹å❍①✲✗■✺❇❦ßs❇✌✱✳❍①❇❦❀➾í◆Ü➻❅①■✳Ü➻✹ ❅①■✺❇❪✲✟❊❄ß✤ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃➋❋➇Þ➇✶✸✽❄ß❪Ü❿❀
ç❶✶✸✽❄ß❪❇❦íP❊❷✶①æ✓ÜÏ❍✧❍①Ü➻ßsÜÏ❃Ï✽❄✶➬❅①❊✮❅①■✺❇✤❊❄✹✺❇✤✱✳❍①❇❦❀✡í◆Ü➻❅①■✺ÜÏ✹å❀✺✱✳✽✿❃✔Ý❄✶✗✽✿❋✺■☎❋➇Þ➇✶✸✽❄ßsÜÏ❀➭ê✠✷➬❊●í✷❇✚è❷❇✚✶❛ð➉❅①■✳❇
ç❶❊❄✶✸ßs✽❄❃➻Ü❿❍①ßs❍✤❊✿çÐ❅①■✺❇✡✲✚❊❄ß➱ì✳Ü➻✹✳✽✿❅①❊❷✶①Ü❿✽✿❃✷✽✿✹✳❀➘❀➉✱✳✽❄❃✷Ý❷✶✸✽❄❋✺■➐❋➇Þ➇✶✸✽❄ßsÜÏ❀✺❍s✽❄✶①❇➹î❷✱✳Ü❆❅✸❇☎❀✺Ü✹✸➓❇✚✶✸❇✚✹♠❅❦ê
✏ ✹✺❇➬❊✿ç➓❅✸■✺❇➬ßt✽✿ÜÏ✹➷❍r❋③❇❦✲✚Ü❆ä③✲➬❋✺✶✸❊❄❋③❇✚✶①❅❘Þ➱❊❄ç➭✲✚❊❄ß✤ì✺Ü➻✹✼✽●❅①❊❷✶①Ü❿✽✿❃➉ßt✽❄❋✳❍✩Ü❿❍✙❅✸■✺❇➬❇✦✝➉❋✺❃ÏÜ❿✲✟Ü➻❅➍❇✚✹✳✲✚❊➉❀➉Ü➻✹✳Ý
❊✿ç➬❅✸■✺❇☎❊❄✶✸Ü➻❇❦✹❷❅✗✽●❅✸Ü➻❊❷✹➐❊✿ç➬❅✸■✺❇➹❋✺❃Ï✽❄✹✺❇❄ê✙ë❩■✺❇☎ßs❇✟❅✸■✺❊➉❀➐❋✺✶✸❇❦❍①❇✚✹♠❅✸❇❦❀➐ÜÏ✹❴❅①■✺Ü❿❍❪❋✳✽✿❋③❇✚✶s✱✳❍①❇❦❍✤❅①■✳❇
❇✦✝➉❋✺❃ÏÜÏ✲✚Ü❆❅✷❇✚✹✳✲✚❊➇❀✺Ü➻✹✺Ý✤❊✿ç➓❅①■✳❇Ð❊❷✶①ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹sì➇Þt✲✟❊❄ß✤ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃✺ßt✽✿❋✳❍✩❅①❊✤❀✺Ü✹✸➓❇✚✶✸❇✚✹♠❅①Ü❿✽●❅✸❇➬✱✳❍①✱✳✽✿❃
✽❄❀✒✑r✽❷✲✟❇✚✹✼✲✟Þ➷✶✸❇✚❃❿✽●❅✸Ü➻❊❷✹✳❍r■✳Ü➻❋✳❍Pç❶✶✸❊❄ß ❅①■✺❇✵ÜÏ✹✳✲✟❃Ï✱✳❀➉❇❛❍❩❊❄✹✺❇❛❍✚ê
ë❩■✺❇➱✶✸❇❦❍r❅✾❊✿ç✙❅✸■✺Ü❿❍✾❋✳✽❄❋✼❇❦✶ÐÜ❿❍✧❍❘❅✸✶①✱✳✲✟❅①✱✺✶✸❇❦❀✡✽❷❍◆ç❶❊❷❃➻❃Ï❊●í➬❍✞✺✼❁å❇✤ä✳✶✗❍❘❅Ð❋✺✶①❇❛❍r❇❦✹♠❅ÐÜÏ✹ ❍r❇❛✲➃❅✸Ü➻❊❷✹✻✱
❅①■✺❇➹ßt✽✿ÜÏ✹➶❋✺✶✸❊❄❋③❇✚✶①❅①ÜÏ❇❦❍➱❊✿ç➬❅✸■✺❇➹✲✚❊❄ß✤ì✺Ü➻✹✼✽●❅①❊❷✶①Ü❿✽✿❃➍ßs✽❄❋✳❍❦ê✝ë❩■✳❇✚✹➐í✷❇✮❋✺✶✸❇❦❍①❇✚✹♠❅❪Ü➻✹➘❍r❇❛✲➃❅①ÜÏ❊❄✹✼✬
❅①■✺❇➱✲✚❊❄ß✤ì✺Ü➻✹✼✽●❅①❊❷✶①Ü❿✽✿❃➭❋➇Þ➇✶✗✽✿ßsÜÏ❀✓ç❶✶✗✽✿ßs❇✚í✷❊❄✶✸æs❅①❊❷Ý❄❇✚❅①■✺❇❦✶➬í◆Ü❆❅✸■☎❅①■✺❇✤ßt✽✿ÜÏ✹☎✲✚❊❄✹✳✲✚❇✚❋➉❅✗❍◆✱✳❍①❇❦❀➹❅✸❊
✲✟❊❄ßs❋✺✱✺❅①❇➹Ü➻✹✳❍①Ü❿❀➉❇✓✶✸❇✚❃❿✽●❅✸Ü➻❊❷✹✳❍①■✺Ü➻❋✼❍✚ê✝ï✔Ü➻✹✳✽❄❃➻❃ÏÞ❄ð✝í✷❇✮❋✺✶✸❇❦❍①❇✚✹♠❅❪❅①■✺❇➹❋✺✶✸❊❄ì✺❃Ï❇✚ß ❊❄ç➬❅①■✺❇☎❀➉❇✚❅①❇✚✶✸ßsÜ✹✰
✹✳✽●❅✸Ü➻❊❷✹➐❊✿ç➬❅✸■✺❇✮ÜÏ✹✳✲✚❃➻✱✳❀✺❇❦❍❪✶①❇❦❃Ï✽✿❅①ÜÏ❊❄✹✳❍①■✺ÜÏ❋✳❍✌ÜÏ✹❴❍①❇❦✲✟❅①ÜÏ❊❄✹✾✽ ❅①❊❷Ý❄❇✟❅✸■✺❇✚✶✤í◆Ü❆❅✸■➶❊❷✹✺❇✮ßs❇✟❅✸■✺❊➉❀é❅✸❊
❀➉❇✟❅✸❇✚✶✸ß❪ÜÏ✹✺❇❛❍✧❅①■✺❇➷❍①❇✟❅✵❊✿ç❩✶✸❇✚Ý❄ÜÏ❊❄✹✼❍ÐÜÏ✹✳❍①ÜÏ❀✺❇s✽➹Ý❷Ü➻è❷❇✚✹❂❊❄✹✺❇❷ê➭❁å❇➷✲✚❊❄✹✳✲✚❃➻✱✳❀✺❇✤❅✸■✺Ü❿❍❉❃Ï✽❷❍❘❅✌❍①❇❦✲➃❅✸Ü➻❊❷✹
í◆Ü❆❅✸■☎✽❄✹✓❇✞✝➉❋✼❇❦✶①ÜÏßs❇✚✹♠❅➬Ü➻❃Ï❃Ï✱✳❍❘❅✸✶✸✽✿❅①ÜÏ✹✺Ý❪❅①■✺❇✵✱✼❍r❇✚ç❶✱✺❃➻✹✳❇❦❍✸❍❩❊✿ç✝Ü➻✹✳✲✚❃➻✱✼❀➉❇❦❍◆✶✸❇✚❃❿✽●❅✸Ü➻❊❷✹✳❍①■✺Ü➻❋➋ê
✿ ❀➐Õ✳Ú✲❁➋ÓPÔ❃❂✔Ô✺Ú❘ÖPÓ Ú①Ó❅❄❂Ö✳❆✵❇ÐÚ①Ó❈❂✔Ô➉Ö✩Õ✳Ú✲❂❊❉❋❆●❂■❍❑❏
Û ✲✟❊❷ß➱ì✺ÜÏ✹✳✽✿❅①❊❄✶✸Ü❿✽✿❃✳ßt✽❄❋▼▲❖◆
✫✖P❘◗✂❙✠◗❯❚
✮➍❇✚✹✳✲✚❊➉❀➉❇❦❍✷✽✌❋✳✽❄✶r❅✸Ü❆❅✸Ü➻❊❷✹t❊❄✹✮✽❄✹➷❊❄✶✸ÜÏ❇✚✹♠❅✸✽❄ì✺❃➻❇Ð❍r✱✺✶①ç➺✽❄✲✚❇
í◆Ü❆❅✸■✺❊❄✱➉❅✔ì✼❊❷✱✺✹✳❀✺✽❄✶①Þ❷ê ✴ ❊❄ß✤ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃✿ßt✽✿❋✳❍✂✽❄✶①❇➍✱✳❍r❇❛❀❉í◆Ü❆❅✸■✺ÜÏ✹✵❅①■✺❇➍Ü➻ßt✽✿Ý❷❇✙❋✺✶✸❊➇✲✚❇❦❍✸❍rÜÏ✹✺Ý➬✽❄✹✳❀
✽✿✹✳✽❄❃➻Þ➉❍①ÜÏ❍➓ç❶✶✗✽✿ßs❇❦íP❊❷✶①æ◆❅✸❊◆❇✚✹✳✲✚❊➉❀➉❇✩ÜÏßs✽❄Ý❄❇✩✧❍➭❋✼✽✿✶①❅①Ü➻❅①ÜÏ❊❄✹✳❍❦ê✌❱Ð❍rÜÏ✹✺Ý❲✱❨❳ ÜÏßt✽✿Ý❷❇❦❍❦ð✚✲✟❊❷ß➱ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃
ßs✽❄❋✳❍➹ßt✽➽Þ ì✼❇❂✱✺✹✳❀➉❇❦✶✸❍r❅①❊➇❊➉❀á✽❷❍☎✽➶❋✳✽❄✶r❅✸ÜÏ✲✚✱✺❃❿✽✿✶➹❇✚✹✳✲✚❊➇❀✺Ü➻✹✺Ý➘❊✿ç❪✽➶❋✺❃❿✽✿✹✼✽✿✶➹Ý❄✶✗✽✿❋✺■ í◆■✺❇✚✶✸❇
❇❦✽❄✲✗■á❇❦❀➉Ý❷❇ Ü❿❍✓❍①❋✺❃ÏÜ❆❅☎Ü➻✹♠❅✸❊➐❅❘í✷❊➐■✳✽✿❃➻ç✖✰❱❇❦❀➉Ý❷❇❦❍➹✲✚✽✿❃Ï❃Ï❇❦❀ ❀✺✽❄✶r❅✗❍✚ê❩✟➇ÜÏ✹✳✲✟❇❂❇❦✽❷✲✗■ ❇❦❀➉Ý❷❇ ✲✟❊❷✹✺✹✺❇❛✲➃❅✸❍
❜
⑥ ❵ ✁
⑥❛⑥
ó
⑥ ❝
⑥✄✂ ❝ ✂
ô ✂ ⑦ ✂
⑧ ✂ ❫ ✂
⑥ ⑥✗⑦ ⑥✟⑧
⑥ ❫
✂ ⑥ ❜
✂
⑥✝✁
✂
❝ ⑥
❝❦❵
⑥ ó
❝ ⑦✟✞
❝❦ô
✞
❝❛❝
✞
⑨❶♣❛❸ ✠ ❜ ✁ ó
ô ✂ ⑦ ✂
⑧ ✂
⑥ ⑥✗⑦ ⑥➃⑧
⑥ ❫
✂ ⑥ ❜
✂
⑥✝✁
✂
❝ ⑥
❝❦❵
⑥ ó
❝ ⑦✆✞
❝✚ô
✞
❝❦❝
✞⑨➚➉❸ ✠ ✈✗✐❛⑤●❼❢❖r♣✚✈✸❼❘◗➃q
❜ ❯❱❜
☎ ✁
❯➂❝ ⑦✂
❯❺ó
☎ ❯⑥ ❜
✞
❯➂❝
⑥
☎
❯➂ô
✞
⑧ ✂ ⑥ ❫✂
❝✚❵
❝✚ô✞ ⑨✈✟❸ ✠❴❖❘◗➃q❄❥♠✈✗◗✗q
☛✌☞✡✍
➸✏✎➇➸ ❣ q❄❥➇♣❦❧➭✐✚❾✝♣✵✈✗✐❦➀✧➚❷④❆⑤♠♣✚❼❘✐✚❖❘④➻♣✚❧➭➀✌♣❦➁➾⑨❶♣➽❸✩◗✗⑤♠✈✸✐✿q❷④♥⑤♠➅✤♣✌ô✒✑tô✌➅❦❖❘④❆q
➴
④❽❼❘✇✮❼❘✇❷◗Ð✈✸✐❛⑤●❼❢❖r♣❦✈✸❼❘◗✗q
✈✸✐❛➀✧➚❷④♥⑤➇♣✚❼❘✐✚❖❘④❆♣❦❧③➀✌♣✚➁☎⑨➚➉❸✝✐❦➚❷❼r♣❦④♥⑤❷◗➃q❪➚●➌✤❼❘✇❷◗◆✈✗✐❛⑤●❼❢❖r♣✚✈✸❼❘④♥✐❛⑤t✐❦❾✔✓✖✕✘✗✚✙✜✛❛⑨⑥✣✢ ❝ ✢➃⑥ ❵ ✢➃⑥❛⑥✣✢➃⑥ ❝ ✢ ❫➽❸①➈➉➊✝✇❷◗
❖❘◗✗q❷❥♠✈✸◗➃q❂✈✗✐❦➀✧➚♠④♥⑤♠♣✚❼❘✐❦❖❘④❆♣✚❧✷➀✌♣❦➁➘⑨✈✟❸❉④❆❻➱✐❛➚❄❼r♣❦④♥⑤♠◗✗q➪➚✿➌➾❼❘✇❷◗s❖❘◗✗➀✵✐✟♦❛♣✚❧P✐✚❾◆❼❘✇♠◗➷◗✗➀✵➁❷❼❺➌➾❻❢◗✗❧❽❾✾❧❆✐●✐❦➁♠❻
q❄◗✥✤➇⑤❷◗➃qÐ➚●➌✦✓★✧✌✗✩✙
✛ ⑨⑦
❸➭♣❦⑤♠q✾❼❘✇♠◗✩q❄✐❛❥❷➚♠❧♥◗✙◗➃q❷➅❦◗✗❻➋q❷◗✥✤♠⑤♠◗➃q✾➚●➌✪✓✬✫✭✗✩✙
✛ ⑨⑥ ô
✢➃⑥✗⑦✮✢➃⑥✟⑧✯✢➃⑥
ó
✢➃⑥✰✁✮✢
❝❛❝❦❸✣✱
✲ ❝
⑦✮✢✝✳◆⑥
❫
✢➃⑥
❜
✢✝✳
❝✚❵
✢ ❝
⑥✣✢✝✳
❝❦ô
✢ô
✢✝✳P⑧✵✴
➈
ç❶❊❄✶✸ßs✽❄❃➻❃ÏÞ✤❀✺❇✟ä✳✹✺❇❛❀❪ì♠Þ✤❅①■✳❇❩❅①✶✸Ü➻❋✺❃Ï❇✟❅ ▲❖◆
✫✖P❘◗✂❙✠◗✂❚
✮✙í◆■✳❇✚✶✸❇
P
✶①❇❦❋✺✶①❇❛❍r❇❦✹♠❅✸❍✔❅①■✳❇✾❍r❇✚❅✩❊✿ç✂❀✺✽❄✶r❅✗❍
✽✿✹✳❀
❙
Ü❿❍➬✽t❋③❇✚✶✸ß➱✱➉❅✗✽●❅✸Ü➻❊❷✹✡❊❄✹
P
í◆■✺❊♠❍r❇✌✲✚Þ➉✲✟❃Ï❇❦❍➬✲✚❊❄✶✸✶①❇❛❍r❋③❊❄✹✳❀✓❅✸❊t❅①■✺❇✤❍r❇❛î❷✱✳❇✚✹✳✲✚❇✌❊✿ç✩❀✺✽❄✶r❅✗❍
❇✚✹✳✲✚❊❄✱✺✹♠❅①❇❦✶①❇❛❀sí◆■✺❇✚✹s❅✸✱✺✶✸✹✺Ü➻✹✳Ý➱✲✟❊❷✱✺✹♠❅①❇✚✶✂✰❢✲✟❃Ï❊➇✲✗æ➇í◆Ü❿❍r❇◆✽❄✶①❊❷✱✺✹✳❀s❇❦✽❷✲✗■sè❄❇✚✶①❅①❇✞✝➭ê❷ï✔Ü➻✹✼✽✿❃Ï❃➻Þ
❚
Ü❿❍➍✽❄✹
Ü➻✹➇è❄❊❷❃➻✱✺❅①ÜÏ❊❄✹➷❊❷✹ P í◆■✺ÜÏ✲✗■➹ßt✽✿❋✳❍✷❇❛✽❄✲✗■➷❊❄ç✂❅①■✺❇✧❅❘í✷❊✤❀✺✽❄✶r❅✗❍✷❊✿ç➋❊❷✹✺❇Ð❇❛❀➉Ý❄❇Ð❅①❊✤❅①■✳❇✧❊❄❅①■✺❇❦✶P❊❷✹✺❇❄ê
✶ Ü➻è❷❇✚✹ ✽➷✲✚❊❄ß✤ì✺Ü➻✹✼✽●❅①❊❷✶①Ü❿✽✿❃➋ßs✽❄❋✻▲ ◆ ✫✖P❘◗✂❙✠◗✂❚ ✮➃ð➭Ü➻❅✸❍✧❀➉✱✳✽❄❃➋Ü❿❍Ð❀✺❇✟ä✳✹✺❇❛❀➾ì➇Þ ▲ ◆ ✫P✼◗✥✷ ◗❯❚ ✮
í◆Ü❆❅✸■ ✷ ◆ ❙✌✸❃❚ ê❛ë❩■✺❇✷✲✟Þ➉✲✟❃Ï❇❦❍❐❊✿ç✺❋③❇✚✶✸ß➱✱✺❅✸✽●❅✸Ü➻❊❷✹ ✷ ❇✚✹✼✲✟❊➉❀➉❇✩❅✸■✺❇✩ç➺✽❷✲✟❇❛❍➋❊❄ç➉❅①■✺❇❩✲✟❊❷ß➱ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃
ßs✽❄❋✮✽✿✹✼❀tßt✽➽Þ❪ì③❇✾ÜÏ✹♠❅①❇❦✶①❋✺✶✸❇✟❅✸❇❦❀➷✽❷❍✩❅✸■✺❇Ð❍①❇❦î♠✱✺❇❦✹✳✲✟❇Ð❊✿ç➋❀✺✽❄✶r❅✗❍✩❇❦✹✳✲✟❊❷✱✺✹♠❅①❇✚✶✸❇❦❀➷í◆■✺❇✚✹t❅✸✱✺✶✸✹✺Ü➻✹✳Ý
✲✟❃Ï❊➇✲✗æ➇í◆Ü❿❍r❇✌✽❄✶①❊❷✱✺✹✳❀☎✽sç➺✽❷✲✟❇❄ê ❢✹✡í◆■✳✽●❅Ðç❶❊❄❃Ï❃➻❊●í➬❍❦ð➉❅✸■✺❇➱✲✟Þ➉✲✚❃➻❇❛❍➬❊✿ç
❚ ð ❙
✽❄✹✳❀
✷
✲✟❊❄✹♠❅✗✽✿ÜÏ✹✺Ü➻✹✳Ý➷✽
❀✺✽✿✶①❅✺✹➷í◆ÜÏ❃➻❃➋ì✼❇✌✶✸❇❦❍①❋③❇❦✲➃❅✸Ü➻è❷❇✚❃ÏÞ✮❀➉❇❦✹✺❊✿❅✸❇❦❀☎ì➇Þ
❚✼✻❨✫
✹✯✮✟ð
❙✜✻✤✫
✹❃✮➬✽❄✹✳❀
✷✌✻❨✫
✹✯✮✟ê Û ✹✡ÜÏ✹♠❅①✶✸❊➉❀➉✱✳✲➃❅✸Ü➻❊❷✹
❅①❊➷✲✟❊❷ß➱ì✺ÜÏ✹✳✽✿❅①❊❄✶✸Ü❿✽✿❃③ßs✽❄❋✳❍◆✽✿✹✼❀➹✲✚❊❄ß✤ì✺Ü➻✹✼✽●❅①❊❷✶①Ü❿✽✿❃➓❋➇Þ➇✶✸✽❄ßsÜÏ❀✺❍✷ßt✽➽Þ➷ì③❇❉ç❶❊❄✱✺✹✼❀✓ÜÏ✹éà✽✼ð✂✱➽ã❱ê
ï❐ÜÏÝ✳ê✾✽
✫
✽✩✮➱❀➉❇❦❍✸✲✟✶✸Ü➻ì③❇❦❍✤✽ ❀➉✱✼✽✿❃❩✲✟❊❄ß✤ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃✩ßt✽✿❋ ▲ ◆
✫❀✿ ❁✯◗✄✿ ❂ ❁
✮✌❇✚✹✳✲✚❊➉❀➉Ü➻✹✳Ý
✽✔✬❄❃ ✬▼✽✤✰❱✲✚❊❄✹✺✹✳❇❦✲➃❅✸❇❦❀ ❋✺❃Ï✽❄✹✳✽✿✶❉❍✸✽✿ßs❋✺❃ÏÜ➻✹✺Ý➹Ý❄✶✸Ü❿❀➭ê✶❱✾❍①Ü➻✹✺Ý✓❅①■✳ÜÏ❍❉❇❦✹✳✲✟❊➉❀➉ÜÏ✹✺Ý✓❅①■✺❇
✷ ð ❙
✽❄✹✳❀
❚
✲✟Þ➉✲✟❃Ï❇❦❍✵❊❄ç◆❇❦✽❄✲✗■é❀✺✽❄✶r❅✤ßs✽➽Þåì✼❇✮✶①❇❛❍r❋③❇❦✲✟❅①ÜÏè❄❇✚❃ÏÞ ✱✳✹✳❀➉❇✚✶✗❍r❅①❊➇❊➉❀é✽❄❍✵❇❦❃➻❇❦ß❪❇❦✹♠❅✸❍✌❊❄ç❩❀✺Ü➻ßs❇✚✹✼❍rÜÏ❊❄✹✳❍
❅
ð❆✽✵✽✿✹✼❀ ✱❪✽❄✹✳❀✓ç❶❊❄✶✸ßs✽❄❃➻❃ÏÞ✮✽❷❍①❍①❊➉✲✟Ü❿✽●❅①❇❛❀➷❅✸❊➷✽ ✱✯❇✭✲✚❇✚❃Ï❃➻✱✺❃❿✽✿✶➬✲✚❊❄ßs❋✺❃Ï❇✦✝➪à✽❄ã➂ê❉❈➾❊❄✶✸❇✧❋✳✶①❇❛✲✟Ü❿❍r❇❦❃➻Þ❷ð
❇❦✽❄✲✗■ ❚ ✲✟Þ➉✲✟❃Ï❇✌ßt✽➽Þ➹ì✼❇❪✽❄❍✸❍r❊➉✲✟Ü❿✽●❅✸❇❦❀✓❅①❊✓✽➷✲✟✶✗✽❄✲✗æ✓ì✼❇✚❅❘íP❇❦❇✚✹☎❅❘í✷❊t❋✺Ü✹✝➉❇❦❃Ï❍❦ê❋❊P✽❄✲✗■☎❊✿ç✝❅✸■✺❇✌❅❘í✷❊
❀✺✽✿✶①❅✸❍❩❊❄ç✝✽❄✹ ❚ ✲✟Þ➉✲✟❃Ï❇✌✲✟❊❷✶①✶✸❇❦❍①❋✼❊❷✹✳❀✺❍P❅①❊t✽❄✹➹❊❷✶①ÜÏ❇✚✹♠❅✗✽●❅①ÜÏ❊❄✹☎✽✿❃Ï❊❄✹✳Ý➱❅✸■✺❇➱✲✟✶✗✽❄✲✗æ➓ê➉ï✺❊❷✶◆❇✦✝✺✽✿ßs❋✺❃Ï❇❄ð
❅①■✺❇➷✲✚Þ➇✲✚❃➻❇
❚ ✻ ✫
✽✒✮ ◆ ✫ ✽
◗●❂
✽ ✮ÐÜ❿❍✌✽❄❍✸❍①❊➇✲✚ÜÏ✽✿❅①❇❛❀➾❅✸❊☎❅①■✺❇➷✲✚✶✸✽❷✲✗æ✡❇✚✹✳✲✚❊➇❀✺Ü➻✹✺Ý☎❅✸■✺❇➷✶✸Ü➻Ý❷■♠❅❉ì③❊❄✶✗❀➉❇❦✶
❊✿ç➬❅✸■✺❇➷❅✸❊❄❋➶❃Ï❇✟ç❅s❋✺Ü✝➉❇✚❃❩❊✿ç◆❅✸■✺❇☛✬❍❃ ✬ Ý❄✶✸ÜÏ❀
✫
ï✔Ü➻Ý✼ê✾✽
✫
✽✯✮✲✮➃ê✝ë❩■✺❇☎❀✺✽✿✶①❅✸❍❄✽✓✽❄✹✳❀
❂
✽➹❀➉❇✟ä✳✹✳❇
✶①❇❛❍r❋③❇❦✲✟❅①ÜÏè❄❇✚❃ÏÞ✮✽❪ì③❊✿❅r❅✸❊❄ß ❅①❊❪❅①❊❷❋☎✽❄✹✳❀✮❅①❊❄❋➹❅✸❊❪ì③❊✿❅①❅①❊❷ß ❊❄✶✸ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹☎✽✿❃Ï❊❄✹✺Ý✤❅①■✺❇✌✲✚✶✸✽❷✲✗æ➓ê
ë❩■✺❇❦❍①❇✵✶①❇❛❍r✱✳❃❆❅✗❍◆ßt✽➽Þ✮ì③❇✌❇✦✝➇❅①❇❦✹✳❀➉❇❛❀➹❅①❊✮✽❄✹♠Þ✓✶①❇❛❀➉✱✳✲✚❇❦❀☎✲✟❊❷ß➱ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃➭ßt✽✿❋☎❇✚✹✳✲✚❊➉❀➉Ü➻✹✳Ý
✽✿✹➘Ü➻ßt✽✿Ý❷❇☎❋✳✽✿✶①❅①Ü➻❅①ÜÏ❊❄✹✂ê ❢✹➘❅✸■✺ÜÏ❍t✲❦✽❄❍①❇❄ð✙❇❛✽❄✲✗■ ❀✺✽✿✶①❅t❊✿ç✾❅✸■✺❇✡ßt✽✿❋ ❍r■✳❊❄✱✺❃❿❀➘ì✼❇☎ÜÏ✹❷❅✸❇✚✶✸❋✺✶✸❇✟❅①❇❛❀
✽❄❍✾✽✮❍r❇❛î❷✱✳❇✚✹✳✲✚❇✌❊✿ç✩❊❷✶①ÜÏ❇✚✹♠❅①❇❛❀✡✲✟✶✗✽❄✲✗æ➉❍❩❇✚✹✼✲✟❊➉❀➉ÜÏ✹✺Ý✓✽❄✹✡❊❄✶✸Ü➻❇❦✹❷❅✸❇❦❀✡✽❄✹✳❀✡✲✟❊❷✹✺✹✺❇❦✲✟❅①❇❛❀✡ì✼❊❷✱✺✹✳❀✺✽❄✶①Þ
❍r❇❦Ý❄ßs❇✚✹♠❅Ðì③❇✟❅❘í✷❇✚❇❦✹✡❅❘í✷❊➷✶①❇❦Ý❄ÜÏ❊❄✹✳❍❦ê✘✟➉✱✳✲✗■ ✽✮❍①❇❦î♠✱✺❇❦✹✳✲✟❇➱ÜÏ❍✧❍rÜÏßs❋✺❃ÏÞ➾✲✚✽✿❃Ï❃Ï❇❦❀✡✽ ✥✞✣❏■✮❑★✣✞✕❉▲➂ê③ë❩■✳❇
✶①❇❦❃Ï✽✿❅①ÜÏ❊❄✹✳❍①■✺ÜÏ❋✳❍❉ì✼❇✚❅❘íP❇❦❇✚✹➐❍①❇✚Ý❷ß❪❇❦✹♠❅✸❍✵✽✿✹✼❀é✲✟✶✗✽❄✲✗æ➉❍❉✽✿✶✸❇➷✽❄❍✧ç❶❊❄❃Ï❃Ï❊●í➬❍✞✺✜❊P✽❄✲✗■❂❊❄✶✸Ü➻❇❦✹♠❅①❇❦❀➪✲✚✶✸✽❷✲✗æ
ì✼❇❦❃➻❊❷✹✺Ý❷❍✮❅①❊➘✽●❅☎ß❪❊♠❍❘❅➹❊❄✹✺❇❂❍r❇❦Ý❄ßs❇✚✹♠❅❛ê✾❈✡❊❷✶①❇❦❊●è❄❇❦✶❦ð✩Ü➻ç➱❊❷✹✺❇ ❊❷✶①ÜÏ❇✚✹♠❅①❇❛❀ ✲✟✶✗✽❄✲✗æ➘ì③❇✚❃Ï❊❄✹✺Ý♠❍➷❅✸❊
✽✓❍①❇✚Ý❷ß❪❇❦✹♠❅✵✽❷❍①❍①❊➉✲✟Ü❿✽●❅✸❇❦❀☎❅✸❊☎✽➹❀✺✽❄✶r❅✬✹✳ð✂❅①■✺❇t❍✸✽✿ßs❇❪✲✚✶✸✽❷✲✗æ☎í◆Ü❆❅✸■❂✽❄✹å❊❷❋✺❋✼❊♠❍rÜ➻❅①❇❪❊❄✶✸ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹
ì✼❇❦❃➻❊❷✹✺Ý❷❍➓❅✸❊◆❅①■✳❇➍❍r❇❦Ý❄ßs❇✚✹♠❅➋✽❷❍①❍①❊➉✲✟Ü❿✽●❅①❇❛❀➬❅✸❊
❚ ✫
✹❃✮➃ê➽ï✺❊❄✶➋❇✦✝✺✽✿ßs❋✺❃Ï❇❄ð✚❅①■✺❇➍❀✳✽✿✶①❅✌✽✌✆❩ÜÏ✹✌ï❐ÜÏÝ✳ê▼✽
✫✲ ✮➓ÜÏ❍
✽❄❍✸❍r❊➉✲✟Ü❿✽●❅✸❇❦❀❉❅✸❊✧❅①■✺❇◆❍①❇❦î♠✱✺❇✚✹✼✲✟❇✷❊✿ç✳❊❷✶①ÜÏ❇✚✹♠❅①❇❛❀➱✲✚✶✸✽❷✲✗æ➇❍❐❇✚✹✼✲✟❊➉❀➉❇❦❀➱ì➇Þ✵❅①■✺❇◆❀✺✽❄✶r❅✗❍✾✽✌✆❖◆✡✽✵P❖◆✟✽✌✽❉◆✡✽✌✬❉◆✱❨✽
✫ ✫ ❂ ❂ ❂ ❂ ❂ ❂
Ô✟✞❈❁ ❄åÖ ❆✵❇ÐÚ①Ó❈❂✔Ô➉Ö✩Õ✳Ú ❂ ❉✡✠☛✁◆Õ ❂ ❆ Ú①×✌☞✸Õ✢❂❊❆●❁✍✆➪Ö✩Õ✟✎
Û
❍❉ÜÏ✹å❅✸■✺❇t❀➉✱✳✽❄❃✙Ý❄✶✗✽✿❋✺■å❋♠Þ➇✶✗✽✿ßsÜ❿❀å❍✸✲✗■✺❇✚ßs❇☎à✆✿ã
✫
✟➇❇❛✲➃❅✸Ü➻❊❷✹ ✽✒✮✧✽➹✲✚❊❄ß✤ì✺Ü➻✹✼✽●❅①❊❷✶①Ü❿✽✿❃✔❋➇Þ➇✶✸✽❄ß❪Ü❿❀
ÜÏ❍✤❀➉❇✟ä✳✹✳❇❦❀éì➇Þ➪✽✿✹➪Ü➻✹✳Ü❆❅✸ÜÏ✽❄❃✷✲✚❊❄ß➱ì✳Ü➻✹✳✽✿❅①❊❷✶①Ü❿✽✿❃✙ßt✽✿❋➐❍①✱✳✲❦✲✟❇❦❍✸❍①Ü➻è❷❇✚❃ÏÞ ✶✸❇❦❀➉✱✳✲✚❇❦❀➪ì➇Þ➪✽➾❍r❇❛î♠✱✺❇✚✹✳✲✚❇
❊✿ç✌✲✟❊❷✹❷❅✸✶✸✽❷✲➃❅✸Ü➻❊❷✹➘❊❷✶➷✶✸❇✚ßs❊●è●✽✿❃◆❊❄❋③❇✚✶✗✽●❅✸Ü➻❊❷✹✳❍❦ê
✴
❊❄✹♠❅①✶✗✽❄✲✟❅①ÜÏ❊❄✹ ❊❄❋③❇✚✶✗✽●❅✸Ü➻❊❷✹✳❍t✽✿✶✸❇✡❇✚✹✼✲✟❊➉❀➉❇❦❀ ì➇Þ
✲✟❊❄✹♠❅✸✶✸✽❷✲➃❅①ÜÏ❊❄✹éæ❷❇✚✶✸✹✺❇✚❃❿❍❦ê❐ë❩■✺❇❛❍r❇✓æ❄❇✚✶✸✹✺❇❦❃Ï❍✤❀➉❇✟ä✳✹✳❇❦❀➶✽❷❍✤✽➾ç❶❊❄✶✸❇❦❍r❅✤❊❄ç◆❅①■✺❇☎✲✟✱✺✶✸✶✸❇✚✹♠❅✤✲✟❊❷ß➱ì✺ÜÏ✹✳✽❨✰
❅①❊❄✶✸Ü❿✽✿❃➬ßt✽✿❋ ßt✽➽Þ➘✲✟✶✸❇❦✽●❅✸❇✡✶①❇❛❀➉✱✺✹✳❀✳✽✿✹♠❅✮❇❦❀✺Ý❄❇❦❍✮❍r✱✳✲✗■ ✽❷❍t❇✚ßs❋➉❅❘Þ✯✰❢❍r❇❦❃❆ç✵❃Ï❊➇❊❄❋✳❍➷✽❄✹✳❀ ❀➉❊❷✱✺ì✺❃Ï❇
❇❦❀➉Ý❷❇❦❍ ✫ï✔Ü➻Ý✼ê ✽ ✫ì ✮✲✮✟ê❉❊✩ßs❋➉❅❘Þ✮❍①❇✚❃➻ç✝❃➻❊➇❊❄❋✼❍ ✫❇❦❀✺Ý❄❇ ❚✘✻✩✫✽✯✮PÜ➻✹✡ï✔ÜÏÝ✳ê❆✽ ✫ì ✮✂✮✷ßs✽➽Þ✮ì✼❇❉ÜÏ✹❷❅✸❇✚✶✸❋✺✶✸❇✟❅①❇❛❀
✽❄❍✌✶✸❇✚Ý❷Ü➻❊❷✹✭✧❍✵Ü➻✹✳✹✺❇✚✶✤ì✼❊❷✱✺✹✳❀✺✽❄✶①ÜÏ❇❦❍✤✽✿✹✳❀é✽❄✶①❇➷✶✸❇✚ßs❊●è❷❇❦❀❂ì➇Þ❂✽❄✹é❇✚ßs❋➉❅❘Þé❍r❇❦❃❆ç◆❃Ï❊➇❊❄❋✳❍➱✶①❇❦ß❪❊●è●✽❄❃
æ❄❇✚✶✸✹✺❇❦❃➋✽●ç❅✸❇✚✶◆❅✸■✺❇➱✲✟❊❷✹♠❅①✶✗✽❄✲➃❅✸Ü➻❊❷✹➹❍r❅①❇❦❋✂ê✳ë❩■✺❇➱✶①❇❦ßs✽❄Ü➻✹✳Ü➻✹✺Ýs✶✸❇❦❀➉✱✳✹✳❀✺✽✿✹♠❅➬❇❛❀➉Ý❄❇❛❍➬✲✚✽❄❃➻❃Ï❇❦❀☎❀➉❊❷✱✺ì✺❃Ï❇
❇❦❀➉Ý❷❇❦❍❦ð●ì✼❇❦❃➻❊❷✹✺Ý❉❅①❊✌❀➉❇❦Ý❄✶✸❇✚❇❈✱Ðè❄❇❦✶r❅✸ÜÏ✲✚❇❦❍✝ÜÏ✹ ▲ ✫
❇❄êÝ✳ê
✷ ✻ ✫
✽✌✬✯✮➃ð
✷ ✻ ✫
✽✌✽✯✮➃ð
✷ ✻ ✫ ✽ P✤✮✂✮✔Ü➻✹➷ï✔ÜÏÝ✳ê ✽ ✫ì ✮✲✮
✽✿✹✳❀➐✽❄✶①❇✮✶①❇❦ß❪❊●è❷❇❦❀➪✱✳❍①ÜÏ✹✺Ýå✽å❀➉❊❄✱✺ì✳❃➻❇✓❇❦❀➉Ý❷❇➷✶①❇❦ßs❊●è➽✽❄❃➍æ❷❇✚✶✸✹✺❇✚❃Pí◆■✺ÜÏ✲✗■➘✲✟❊❷✹❷❅✗✽✿ÜÏ✹✳❍➱✽❄❃➻❃❩❀✺✽❄✶r❅✗❍
Ü➻✹✳✲✚ÜÏ❀✺❇✚✹♠❅❉❅①❊☎✽✓❀➉❇❦Ý❄✶✸❇✚❇★✱✮❀➉✱✼✽✿❃✝è❄❇❦✶r❅✸❇✦✝➭ê✍✏➬❊✿❅✸❇➱❅✸■✳✽●❅❛ð✂✽✿✹➇Þ✡✲✟❊❷ß➱ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃❐ßt✽❄❋å❀➉❇❛❀➉✱✳✲✟❇❛❀
ç❶✶①❊❷ß ❅✸■✺❇❉✽✿❋✺❋✺❃ÏÜ❿✲✚✽●❅✸Ü➻❊❷✹➷❊✿ç➋✽✤✲✟❊❷✹❷❅✸✶✸✽❷✲➃❅✸Ü➻❊❷✹tæ❄❇✚✶✸✹✺❇❦❃✳ç❶❊❷❃➻❃Ï❊●íP❇❛❀sì➇Þ✤❅✸■✺❇Ð❅❘íP❊✤✶①❇❦ß❪❊●è●✽❄❃✳æ❄❇❦✶①✹✳❇✚❃❿❍
✲✚✽✿✹✳✹✺❊✿❅✤✲✚❊❄✹♠❅✸✽❄Ü➻✹➪❇❦ß❪❋✺❅❘Þ❂❍①❇✚❃➻ç➬❃➻❊➇❊❷❋✳❍✚ê✑✏➬❊ ❀✺✽❄✶r❅✖✹ ❊❄ç◆❍①✱✳✲✗■➐✽✡✲✚❊❄ß➱ì✳Ü➻✹✳✽✿❅①❊❷✶①Ü❿✽✿❃✩ßt✽❄❋éßs✽➽Þ
❅①■➇✱✳❍✔❍①✽✿❅①Ü❿❍❘ç❶ÞÐ❅①■✺❇P✶①❇❦❃Ï✽✿❅①ÜÏ❊❄✹✳❍①■✺ÜÏ❋★✺
❙ ✫
✹✯✮✳◆
❚ ✫
✹❃✮➃ê●ï✺✱✺✶①❅①■✳❇✚✶❐❀✺❇✟❅✸✽❄Ü➻❃❿❍➋✽❄ì✼❊❷✱➉❅➋❅✸■✺❇P✲✚❊❄✹✳❍r❅①✶✸✱✳✲✟❅①ÜÏ❊❄✹
❍①✲✗■✺❇❦ßs❇✧❊❄ç✝✽❪❋➇Þ➇✶✸✽❄ßsÜÏ❀✓ßt✽➽Þtì✼❇❉ç❶❊❷✱✺✹✳❀➹Ü➻✹éà✱➉ð❯✬●ã❱ê
Û ❍✝ßs❇✚✹♠❅①ÜÏ❊❄✹✳❇❦❀❪Ü➻✹ ✟➇❇❛✲➃❅✸Ü➻❊❷✹ ✱✺ð✿❇❦✽❷✲✗■❪❀✳✽✿✶①❅✝❊❄ç➓✽✧✶✸❇❦❀➉✱✼✲✟❇❦❀s✲✚❊❄ß➱ì✳Ü➻✹✳✽✿❅①❊❷✶①Ü❿✽✿❃➇ßt✽✿❋❪ßt✽➽Þ➱ì③❇
✽❄❍✸❍r❊➉✲✟Ü❿✽●❅✸❇❦❀✤❅①❊✤✽✌❍r❇❛î♠✱✺❇✚✹✳✲✚❇➬❊✿ç✂❊❷✶①ÜÏ❇✚✹♠❅✸❇❦❀s✲✟✶✗✽❄✲✗æ➉❍✩✲❦✽✿❃Ï❃➻❇❛❀t✽✌❍r❇❦Ý❄ßs❇✚✹♠❅❛ê✯✟➇ÜÏ✹✳✲✟❇✾❇❦✽❄✲✗■t❊❷✶①ÜÏ❇✚✹♠❅✸❇❦❀
✲✟✶✗✽❄✲✗æ❪ÜÏ❍P❇✚✹✳✲✚❊➉❀➉❇❦❀tì➇Þs❊❄✹✳❇Ð❀✺✽❄✶r❅➍ÜÏ✹➷❅✸■✺❇✾ì✼✽❄❍①❇✾❃Ï❇✚è❄❇❦❃③✲✚❊❄ß✤ì✺Ü➻✹✼✽●❅①❊❷✶①Ü❿✽✿❃✳ßs✽❄❋▼▲✓✒
✫
✟➇❇❛✲➃❅①ÜÏ❊❄✹☛✱✤✮➃ð
✽➷❍r❇❦Ý❄ßs❇✚✹♠❅✾ßt✽➽Þ➹ì✼❇✤❇❦î♠✱✺ÜÏè●✽✿❃Ï❇✚✹♠❅①❃ÏÞ➹❀✺❇✟ä✳✹✺❇❛❀➾✽❄❍Ð✽➷❍①❇❦î♠✱✺❇✚✹✼✲✟❇➱❊❄ç✩❀✺✽✿✶①❅✸❍✾ì✼❇❦❃➻❊❷✹✺Ý❄ÜÏ✹✺Ýt❅✸❊▼▲ ✒ ê
✰✂❇✟❅❪✱✳❍❪✲✟❊❄✹✼❍rÜ❿❀➉❇✚✶❪✽➾✲✟❊❷ß➱ì✺ÜÏ✹✳✽✿❅①❊❄✶✸Ü❿✽✿❃✩ßt✽✿❋✼▲✡✔ ◆
✫✖P
✔
◗❯❙
✔
◗✂❚
✔✮✤❀➉❇✟ä✼✹✺❇❦❀➐✽✿❅✤❃Ï❇✚è❷❇✚❃✖✕❉❍①✱✳✲✗■
❅①■✳✽✿❅ ▲✡✔➋❀➉❊➇❇❛❍✩✹✺❊❄❅P✲✟❊❷✹❷❅✗✽✿ÜÏ✹➷✽✿✹➇Þ➱❇❦ßs❋➉❅❘Þ❪❍①❇✚❃➻ç➭❃➻❊➇❊❷❋✂ê
✶
ÜÏè❄❇❦✹➷✽✵❀✺✽✿✶①❅ ✹✌ÜÏ✹
P
✔✂❅①■✺❇✧❍r❇❛î♠✱✺❇✚✹✳✲✚❇
✹✘✗ ◆✣◆●◆✥✹✚✙✓❇✚✹✳✲✚❊➉❀➉Ü➻✹✳Ý✤❅✸■✺❇✌❍①❇✚Ý❄ßs❇❦✹❷❅➬✽❷❍①❍①❊➉✲✟Ü❿✽●❅①❇❛❀➷❅✸❊ ✹tÜÏ❍◆❀✺❇✟ä✳✹✺❇❛❀➹ì♠Þ❂à✱●ã ✺
✹ ✗ ◆ ✹ ◗
✹✜✛✣✢ ✗ ◆
✷✥✤
✒ ✫❚ ✒ ✫
✹✜✛✒✮✂✮❩✽✿✹✳❀
❚ ✒ ✫
✹✜✦✩✮ ◆ ❚ ✔ ✫
✹❃✮✝◆
✫
✽✒✮
í◆■✺❇✚✶✸❇ ▲ ✒ ◆ ✫P ✒ ◗ ✷ ✒
◗❯❚
✒
✮❪ÜÏ❍❪❅✸■✺❇✡❀➉✱✳✽❄❃◆❊✿ç✾❅✸■✺❇✡ÜÏ✹✺Ü❆❅✸ÜÏ✽❄❃➬✲✟❊❷ß➱ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃Pßt✽❄❋➘✽❄✹✳❀★✧
ÜÏ❍s❅✸■✺❇✡ßsÜ➻✹✳Ü➻ßt✽✿❃ÐÜ➻✹♠❅✸❇✚Ý❄❇❦✶➷❍r✱✼✲✗■❴❅✸■✳✽●❅ ✷✪✩
✒ ✫❚ ✒ ✫✹ ✛
✮✂✮t❍①✱✺✶①è➇ÜÏè❄❇❛❍❪✽✿❅➷❃➻❇❦è❄❇❦❃✫✕✌❊❄✶✮ì✼❇❦❃➻❊❷✹✺Ý❷❍❪❅✸❊
✽ ❀➉❊❷✱✺ì✺❃Ï❇➷❇❦❀➉Ý❷❇✮æ❷❇✚✶✸✹✺❇✚❃➂ê❐ë❩■✺Ü❿❍✤❃Ï✽❷❍❘❅✤✲✚❊❄✹✳❀✺Ü❆❅✸Ü➻❊❷✹➐ÜÏ❍➱❅①❇❛❍❘❅✸❇❦❀éÜÏ✹➶✲✚❊❄✹✳❍r❅✸✽❄✹❷❅✤❅①ÜÏßs❇✮✱✳❍①Ü➻✹✳Ý➾❅①■✳❇
Ü➻ßs❋✺❃ÏÜÏ✲✚Ü❆❅➬❇❦✹✳✲✟❊➉❀➉ÜÏ✹✺Ýt❊❄ç✔✲✟❊❷ß➱ì✺ÜÏ✹✳✽✿❅①❊❄✶✸Ü❿✽✿❃➓❋➇Þ♠✶✗✽✿ßsÜ❿❀✺❍❉à✱●ã➂ê
✏➬❊✿❅✸❇❩❅①■✳✽✿❅❦ð❷Ü❆ç ▲ ✒
❇❦✹✳✲✟❊➉❀➉❇❛❍✝❅①■✳❇❈✽❨✰❢✲✟❊❷✹✺✹✺❇❦✲✟❅①❇❛❀✤❋✳❃Ï✽❄✹✳✽✿✶➍❍✸✽✿ßs❋✺❃ÏÜÏ✹✺Ý✵Ý❄✶✸ÜÏ❀✂ð✿❇❦✽❷✲✗■ ✷ ✒
✲✚Þ➉✲✟❃Ï❇
ÜÏ❍Ð✲✟❊❄ßs❋③❊❷❍①❇❦❀➹❊✿ç✩✽✿❅➬ß❪❊♠❍❘❅ ✽➷❀✺✽✿✶①❅✸❍ ✫ï✔Ü➻Ý✼ê✜✽ ✫ì ✮✲✮✟ê③ë❩■✳❇✚✶✸❇✟ç❶❊❄✶✸❇❄ð➇❅✸■✺❇➱✲✚❊❄ßs❋✺✱➉❅✗✽●❅①ÜÏ❊❄✹✡❊❄ç✌✹
✛✣✢
✗
ç❶✶①❊❷ß ✹ ✛
✶①❇❛î♠✱✺Ü➻✶✸❇❦❍➋✽●❅❐ßs❊♠❍❘❅ ✽✾Ü❆❅✸❇✚✶✗✽●❅①ÜÏ❊❄✹✼❍➋✽✿✹✼❀✧❅①■✺❇✷❀➉❇✟❅✸❇✚✶✸ß❪ÜÏ✹✳✽✿❅①ÜÏ❊❄✹✵❊✿ç➇❅✸■✺❇➍í◆■✺❊❷❃➻❇✷❍r❇❛î♠✱✺❇✚✹✳✲✚❇
❊✿ç✧✲✚✶✸✽❷✲✗æ➉❍❪✲✚❊❄ßs❋③❊❷❍①Ü➻✹✺Ýé✽❂ì③❊❄✱✺✹✳❀✳✽✿✶✸Þéì✼❇✚❅❘íP❇❦❇✚✹➘❅❘íP❊❂✶✸❇✚Ý❄ÜÏ❊❄✹✼❍✤Ü❿❍t❋③❇✚✶①ç❶❊❄✶✸ßs❇❦❀❴Ü➻✹ ✽å❅①ÜÏß❪❇
❋✺✶①❊❷❋✼❊❷✶r❅✸Ü➻❊❷✹✳✽✿❃③❅✸❊✤❅✸■✺❇✵❃Ï❇✚✹✺Ý❄❅①■☎❊✿ç✔❅①■✺Ü❿❍❩ì③❊❄✱✺✹✳❀✳✽✿✶✸Þ❄ê
❊➍✽❄✲✗■☎❊❷✶①ÜÏ❇✚✹♠❅①❇❛❀➾✲✟✶✗✽❄✲✗æ➹✽❄❍✸❍r❊➉✲✚ÜÏ✽✿❅①❇❦❀➹❅✸❊✓✽❄✹✡Ü➻✹✺Ü➻❅①Ü❿✽✿❃✝❀✺✽❄✶r❅ ✹ ✛
ßt✽➽Þ☎ì✼❇✤❇✚✹✳✲✚❊➉❀➉❇❦❀✡ì➇Þ➹❅①■✳❇
❋✼❊♠❍rÜ➻❅①ÜÏ❊❄✹✡❊❄ç✩Ü❆❅✗❍Ð❍r❅✸✽❄✶r❅✸Ü➻✹✺Ý✮❋✼❊❷Ü➻✹♠❅Ð✽❄✹✳❀✡❊❄✹✳❇✌ßs❊●è❄❇❄ê ❱✾❍①Ü➻✹✺Ý➹✽ ✽❨✰❢✲✟❊❷✹✺✹✺❇❛✲➃❅①❇❛❀✡❍①✽❄ßs❋✺❃➻ÜÏ✹✺Ý➷Ý❷✶①Ü❿❀
❅①■✺❇❛❍r❇sßs❊●è❄❇❛❍Ðì③❇✚❃Ï❊❄✹✳Ý✮❅✸❊ ✿✭✬ ✕✯✮✟✰✲✱ ◗✴✳✶✵ ◗✣✷✯✸✜✹ ✱ ◗ ✹✶✺✼✻✫✽ ❁ ê ✶ Ü➻è❷❇✚✹➪✽✓❀✳✽✿✶①❅✬✹☎❊❄ç ▲✡✔①ð➭❃➻❇✚❅✵✱✳❍✵❀➉❇✦✰
✹✺❊✿❅✸❇✌✶①❇❛❍r❋③❇❦✲✟❅①ÜÏè❄❇❦❃➻Þ✓ì♠Þ✿✾✓✧
✫
✹❃✮➬✽✿✹✼❀❁❀❂✧
✫
✹❃✮✷❅①■✺❇➱ß❪❊●è❷❇❦❍◆❊❄ç✝❅①■✺❇✵ä✼✶✸❍r❅Ð✽✿✹✼❀☎❃Ï✽❷❍❘❅✾❊❷✶①ÜÏ❇✚✹♠❅✸❇❦❀
✲✟✶✗✽❄✲✗æ➉❍➍❊❄ç➋❅✸■✺❇✵❍r❇❦Ý❄ßs❇✚✹♠❅➬✽❄❍✸❍r❊➉✲✚ÜÏ✽✿❅①❇❦❀t❅①❊ ✹✳ê✢❱ç ✹✂✗ ◆●◆✣◆ ✹ ✦ ❀➉❇✚✹✺❊❄❅①❇❛❍✷❅①■✺❇✵❍①❇❦î♠✱✺❇✚✹✼✲✟❇❉❊✿ç✔Ü➻✹✺Ü➻❅①Ü❿✽✿❃
❀✺✽✿✶①❅✸❍❪✽❄❍✸❍r❊➉✲✚ÜÏ✽✿❅①❇❦❀❂❅✸❊ ✹✼ð✝íP❇✓■✳✽➽è❄❇ ✹ ✗ ◆ ✹➪✽✿✹✳❀✚✹✜✦ ◆ ❚ ✒ ✫❚ ✔ ✫
✹❃✮✲✮
✫
❇❛î♠✱✳✽●❅✸Ü➻❊❷✹ ✽ ✮✟ê✔ë❩■✳❇
❅❘íP❊➹❀✺✽✿✶①❅✸❍✦✹ ✗ ✽✿✹✳❀ ✹✜✦➷ßt✽➽Þ➹❅①■➇✱✳❍Ðì✼❇❪✶✸❇✟❅①✶✸ÜÏ❇✚è❄❇❛❀☎Ü➻✹❂✲✟❊❷✹✳❍❘❅✗✽✿✹♠❅✾❅✸Ü➻ßs❇✤ç❶✶①❊❷ß ✹✳ê ❈✡❊❷✶①❇❦❊●è❄❇✚✶❛ð
✾✓✧
✫
✹✯✮◆✽❄✹✳❀❃❀❂✧
✫
✹❃✮❩✽✿✶✸❇✧❇❛î♠✱✳✽✿❃➓❅✸❊s❅①■✺❇✵ßs❊●è❄❇❉❊❄ç❐❅✸■✺❇✵❊❄✶✸Ü➻❇❦✹♠❅①❇❦❀➹✲✟✶✗✽❄✲✗æ➉❍✷✶✸❇❦❍①❋✼❇❛✲➃❅①ÜÏè❄❇❦❃➻Þ✓✽❄❍✲✰
✫
❍①❇✚❇◆❇❄êÝ✳ê❷ï❐ÜÏÝ✳ê❉✽
✫
✽✯✮✲✮✟ê❷ë❩■✺❇◆è●✽✿❃Ï✱✺❇❛❍✙❊✿ç✍✾✓✧
✫
✹✯✮✩✽✿✹✳❀ ❀❂✧
✫
✹❃✮✝ßt✽➽Þ✌❅✸■➇✱✳❍✙ì③❇➬✶①❇✚❅①✶✸Ü➻❇❦è❄❇❛❀➱í◆Ü➻❅①■ ✰
❊❄✱➉❅❉✽❄❀✺❀➉Ü➻❅①ÜÏ❊❄✹✼✽✿❃✔ß❪❇❦ßs❊❄✶✸Þ✓✶✸❇❦î♠✱✺ÜÏ✶①❇❦ßs❇✚✹♠❅Ð✽✿✹✼❀✡Ü➻✹å✲✟❊❄✹✼❍❘❅✗✽✿✹♠❅✾❅✸Ü➻ßs❇➱✱✼❍rÜÏ✹✺Ý✓✽❄✹ ✽✿❋✳❋✺✶①❊❷❋✺✶✸ÜÏ✽✿❅①❇
✹♠✱✳ß➱ì③❇✚✶✸Ü➻✹✺Ý❪❊✿ç❐❅①■✺❇❉ÜÏ✹✺Ü➻❅①Ü❿✽✿❃✂❀✺✽❄✶r❅✗❍✚ê➉ï✺❊❷✶❩❇✦✝✺✽✿ßs❋✺❃Ï❇❄ð➇❅✸■✺❇✧ä✳✶✸❍r❅◆✽✿✹✳❀✓❃Ï✽❷❍❘❅❩ßs❊●è❄❇❛❍P❊❄ç✂❅①■✳❇❉❀✳✽✿✶①❅
✽✌✆✤Ü➻✹✡ï✔Ü➻Ý✼ê ✽ ✫
✲✌✮✷✽✿✶✸❇✧✽❷❍①❍①❊➉✲✟Ü❿✽●❅✸❇❦❀t❅✸❊❪❅①■✺❇❉ßs❊●è❄❇❛❍P❊❄ç➋❅✸■✺❇✌❀✺✽✿✶①❅✸❍✪✽ ✆✤✽❄✹✳❀
❚ ✒ ✫ ❂ ✱ ✽❃✮ ◆ ✱❨✽✤ÜÏ✹
▲ ✒ ✫ ï✔Ü➻Ý✼ê❆✽
✫
✽✩✮✂✮❩✽✿✹✳❀➹✽✿✶✸❇❉✶①❇❛❍r❋③❇❦✲✟❅①ÜÏè❄❇✚❃ÏÞt❇❦î♠✱✳✽❄❃➓❅①❊
✳✶✵
✽✿✹✳❀ ✹✚✺✼✻ ✽✙ê
✶ Ü➻è❷❇✚✹➾✽t❀✺✽❄✶r❅✦✹✮Ü➻✹ ▲✡✔rð③✽✿✹✳❀➹❅✸■✺❇➱❍①❇❦î♠✱✺❇✚✹✼✲✟❇✌❊❄ç✙❀✳✽✿✶①❅✸❍ ✹✂✗✘◆✣◆●◆ ✹ ✦ ÜÏ✹ ▲ ✒ ❇❦✹✳✲✟❊➉❀➉ÜÏ✹✺Ý➷Ü➻❅✸❍
❍r❇❦Ý❄ßs❇✚✹♠❅❦ð❄❅①■✺❇Ð❋✺✶✸❊❄❋③❇✚✶①❅①ÜÏ❇❦❍✙❊❄ç➭❅①■✺❇✧❍r❇❦Ý❄ßs❇✚✹♠❅✸❍
✫
✟➇❇❛✲➃❅①ÜÏ❊❄✹☛✱✤✮✔❅✸❊❄Ý❄❇✚❅①■✺❇❦✶➍í◆Ü➻❅①■t❅✸■✺❇✾❋✳✶①❊❷❋✼❇❦✶r❅✸Ü➻❇❛❍
❊✿ç✔❅①■✺❇✌✲✚❊❄ß➱ì✳Ü➻✹✳✽✿❅①❊❷✶①Ü❿✽✿❃③❋➇Þ♠✶✗✽✿ßsÜ❿❀✺❍✵à✱➽ã✂ÜÏ✹✳❀➉✱✳✲✚❇❉❅①■✺❇❉❅❘í✷❊❪ç❶❊❄❃Ï❃➻❊●í◆ÜÏ✹✺Ý❪❋✺✶①❊❷❋✼❇❦✶r❅✸Ü➻❇❛❍✞✺
✁✄✂✆☎
✿ ✽ ◗
◆✣◆●◆
◗✯✵ ❂ ✽ ❁
✧❃✺✞✝
✸❃✫
✹ ✛ ✮✠✟
✗☛✡
◆ ✧✿✺✞✝
✸❃✫
✹ ✛✣✢ ✗ ✮ ✫
✱✩✮
❀❂✧
✫
✹❃✮
✡
◆ ✾✓✧
✫❙ ✔ ✫
✹❃✮✲✮✠✟
✗ ✫
✬✯✮
í◆■✺❇✚✶✸❇ ✧✿✺✞✝
✸✯✫
✹ ✛ ✮➱❀➉❇❦✹✺❊✿❅✸❇❦❍❪❅✸■✺❇✓ßs❊●è❷❇✓❊❄ç➬❅①■✺❇☎❊❷✶①ÜÏ❇✚✹♠❅①❇❛❀➶✲✚✶✸✽❷✲✗æ➪✽❷❍①❍①❊➉✲✟Ü❿✽●❅✸❇❦❀➪❅✸❊ ✹ ✛ ✽❄✹✳❀
✧❃✺✞✝
✸❃✫
✹ ✛ ✮ ✟ ✗
ÜÏ❍✷❅✸■✺❇✵❊❄❋✺❋③❊❷❍①Ü➻❅①❇❉❊✿ç✔❅①■✺❇✵ßs❊●è❷❇Ð❊❄ç✘✹ ✛ ✫
❇❄êÝ✳ê
✬ ✕✮✂✰✲✱
✟ ✗ ◆ ✷✸✜✹
✱✲✮✟ê
❊➍î♠✱✳✽●❅✸Ü➻❊❷✹ ✱➪❍r❅✸✽✿❅①❇❛❍s❅①■✳✽✿❅➷❅❘í✷❊➪❍①✱✳✲❦✲✟❇❦❍✸❍①Ü➻è❷❇✡ß❪❊●è❷❇❦❍sí◆Ü➻❅①■✺ÜÏ✹ ✽é❍①❇✚Ý❄ßs❇❦✹❷❅✮✲❦✽✿✹✺✹✳❊✿❅➷ì③❇
❊❄❋✺❋③❊❷❍①Ü❆❅✸❇❄ê✺ë❩■✺Ü❿❍❩❋✺✶✸❊❄❋③❇✚✶①❅❘ÞtÜÏ❍❩ÜÏ✹✳❀➉✱✼✲✟❇❦❀➹ì➇Þs❅①■✳❇❉ç➺✽❄✲➃❅❩❅✸■✳✽●❅➬❊❷✹✺❇✧❍①❇✚Ý❷ßs❇✚✹♠❅➬✲✚✽✿✹✳✹✺❊✿❅➬✲✟❊❷✹♠❅✸✽✿ÜÏ✹
❅❘í◆ÜÏ✲✚❇✌✽❪❍✸✽✿ßs❇✌✲✚✶✸✽❷✲✗ætí◆Ü❆❅✸■✓❅❘í✷❊t❊❄✶✸ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹✳❍❦ê ❊➍î♠✱✳✽●❅✸Ü➻❊❷✹☛✬s❍r❅✸✽✿❅①❇❦❍◆❅①■✳✽✿❅◆❅①■✺❇❉ä✳✶✗❍r❅➬ß❪❊●è❷❇
❊✿ç➬❅✸■✺❇
❙ ✔ ❍r✱✳✲❦✲✟❇❛❍①❍①❊❄✶✤❊✿çÐ✽❂❀✺✽✿✶①❅✖✹➪✲❦✽✿✹✺✹✺❊❄❅❪ì③❇✓❅①■✺❇☎❊❄❋✳❋✼❊♠❍rÜ➻❅①❇✓❊✿ç➬❅✸■✺❇✓❃❿✽❄❍r❅sß❪❊●è❷❇✮❊❄ç✦✹✳ê
✏ ❅①■✺❇❦✶①í◆Ü❿❍r❇❷ð✂❅✸■✺❇➹❀✳✽✿✶①❅ ✹❂íP❊❷✱✺❃Ï❀➪ì③❇☎✽✿✹é❇✚ßs❋➉❅❘Þ➐❍①❇✚❃➻ç➬❃Ï❊♠❊❷❋é❊✿ç❲▲ ✔ í◆■✺Ü❿✲✗■➐Ü❿❍✌✶✸❇✟ç❶✱✳❍①❇❦❀éì➇Þ
■♠Þ➇❋③❊✿❅✸■✺❇❦❍①ÜÏ❍❦ê
✶
Ü➻è❷❇✚✹s✽✧❀✳✽✿✶①❅✼✹ ✗ ÜÏ✹★▲ ✔ ð●❃Ï❇✟❅✩✱✳❍✩✲✚❊❄✹✳❍①Ü❿❀➉❇✚✶✙✽❉❍r✱✳ì ✰❱❍①❇❦î♠✱✺❇❦✹✳✲✟❇ ✹ ✗ ◆✣◆●◆✣◆✄◆✹ ✩
❊✿ç
❙ ✻
✔ ✫✹ ✗ ✮✝❍①✱✳✲✗■
❅①■✳✽✿❅✺✹
✩ ✡
◆ ❚ ✔ ✫✹ ✗ ✮✟ê✺✰✂❇✚❅➬✱✳❍◆✽✿❃❿❍r❊s✲✟❊❷✹✳❍①ÜÏ❀➉❇❦✶✷❅①■✺❇✌❍①❇❦î♠✱✺❇❦✹✳✲✟❇✌☞➶❊✿ç❐❊❷✶①ÜÏ❇✚✹♠❅✸❇❦❀✮✲✚✶✸✽❷✲✗æ➉❍✷❀✺❇✟ä✳✹✺❇❛❀
✽❄❍✷❅①■✳❇✌✲✟❊❄✹✼✲✚✽●❅✸❇✚✹✳✽✿❅①ÜÏ❊❄✹✓❊✿ç✔❅①■✺❇✌❍①❇✚Ý❷ß❪❇❦✹♠❅✸❍◆✽❄❍✸❍①❊➇✲✚ÜÏ✽✿❅①❇❛❀t❅①❊ ✹✂✗✘◆✣◆●◆✄◆✹ ✩
ê✳ë❩■✺❇✵❊❷✶①ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹✓❊✿ç
❅①■✺❇❪❍r❇❛î❷✱✳❇✚✹✳✲✚❇★✹✘✗✯◆●◆✣◆●◆✄◆✹ ✩
ÜÏ❍➬❅①■✺❇❦✹ ❀➉❇✟ä✼✹✺❇❦❀✡✽❷❍◆❅①■✳❇✌❊●è❄❇❦✶✸✽❄❃➻❃➭✹➇✱✺ß✤ì✼❇❦✶✾❊✿ç✩✲✚❃➻❊➉✲✗æ➇í◆ÜÏ❍①❇❉❅①✱✳✶①✹✳❍
ì✼❇✚❅❘íP❇❦❇✚✹☎❅①■✳❇➱❍r✱✼✲✚✲✟❇❛❍①❍①ÜÏè❄❇✵✲✟✶✗✽❄✲✗æ➉❍◆✽✿❃Ï❊❄✹✳Ý✍☞❩ê ❢✹✡❊❄✶✗❀➉❇❦✶❩❅①❊➷ßs❇❦✽❷❍r✱✳✶①❇✌❍①✱✳✲✗■✡✽✿✹☎❊❄✶✸ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹
íP❇✵❀➉❇✚ä✳✹✺❇❉❅①■✳❇✌✽✿✹✺Ý❷❃➻❇❉ì③❇✟❅❘í✷❇✚❇✚✹✓❅❘í✷❊s❍①✱✳✲❦✲✟❇❦❍✸❍①Ü➻è❷❇Ð❊❷✶①ÜÏ❇✚✹♠❅①❇❛❀✓✲✚✶✸✽❷✲✗æ➉❍✷✽❷❍ ✺
✎✑✏
✽❉Ü❆ç✔❅①■✺❇❉❅❘í✷❊s❊❄✶✸Ü➻❇❦✹♠❅①❇❦❀➹✲✟✶✗✽❄✲✗æ➉❍✷❀➉❇✟ä✼✹✺❇✌✽s✲✟❃Ï❊➇✲✗æ➇í◆Ü❿❍r❇✓✒ ❅✕✔ ❅①✱✳✶①✹✳❍❦ð
✎
✰✥✽❉Ü➻ç❐❅✸■✺❇❉❅❘í✷❊❪❊❷✶①ÜÏ❇✚✹♠❅✸❇❦❀➹✲✟✶✗✽❄✲✗æ➷❀➉❇✚ä✳✹✺❇✌✽s✲✟❊❷✱✺✹♠❅①❇✚✶✂✰❢✲✟❃Ï❊➇✲✗æ➇í◆Ü❿❍r❇✖✒ ❅✗✔ ❅①✱✺✶✸✹✳❍❦ð
✎ ❅ Ü❆ç✔❅①■✺❇❉❅❘í✷❊s❊❄✶✸Ü➻❇❦✹♠❅①❇❦❀➹✲✟✶✗✽❄✲✗æ➷✲✚❊❄✶✸✶①❇❛❍r❋③❊❄✹✼❀t❅①❊t✽t❍✸✽✿ßs❇❉ßs❊●è❄❇❄ð
✎
✱✺✹✳❀➉❇✚ä✳✹✺❇❛❀✓Ü➻ç✔❅①■✺❇❉❅❘í✷❊s❊❄✶✸Ü➻❇❦✹❷❅✸❇❦❀➹✲✟✶✗✽❄✲✗æ➉❍❩✲✟❊❷✶①✶✸❇❦❍①❋✼❊❷✹✳❀t❅✸❊s❊❄❋✺❋③❊❷❍①Ü❆❅✸❇✵ßs❊●è❄❇❦❍❦ê
✟➇✱✳✲✗■ ✽✿✹✺Ý❷❃➻❇❛❍➱ßt✽➽Þéì③❇➹❇❛✽❄❍①Ü➻❃ÏÞé❇✚✹✼✲✟❊➉❀➉❇❦❀➶✱✳❍①Ü➻✹✺Ý➪✽åì✳✽❄❍①ÜÏ✲✔✽❍❃ ✽➪✽✿✶✸✶✸✽➽Þ➪ÜÏ✹✳❀➉❇✦✝➉❇❛❀➐ì➇Þé❅①■✳❇
ï✺✶✸❇✚❇✚ßt✽❄✹✭✧❍Ð✲✟❊➉❀➉❇❛❍➬❊✿ç✙❅✸■✺❇➱ßs❊●è❷❇❦❍✌✺✳✶✸Ü➻Ý❷■❷❅❛ð✱✳❋✂ð✳❃Ï❇✟ç❅❉✽✿✹✳❀➾❀✺❊●í◆✹➾✽✿✶✸❇✌✹➇✱✺ß➱ì③❇✚✶✸❇❦❀➹ç❶✶✸❊❄ß
❅
❅✸❊
✬✺ê✳ë❩■✺❇✌✽❄✹✺Ý❄❃Ï❇❉ì✼❇✚❅❘íP❇❦❇✚✹➹❅❘í✷❊❪ßs❊●è❷❇❦❍ ✧ ✽✌✽❄✹✳❀❃✧ ✱✤Ü❿❍➬❀➉❇❦✹✺❊✿❅✸❇❦❀➹ì➇Þ
✫✧ ✽ ◗ ✧ ✱✩✮✙✘①ê✳❁å❇✵■✳✽➽è❷❇
ç❶❊❄✶✮❇✞✝✺✽✿ßs❋✺❃Ï❇❄ð
✫✬ ✕✮✟✰✟✱
◗✣✬
✕✯✮✟✰✲✱✲✮✘ ◆ ❅ ð ✫✬ ✕ ✮✟✰✟✱
◗✣✳✚✵
✮✘ ◆ ❂
✽❷ð
✫✬ ✕✮✟✰✟✱
◗
✹✚✺✼✻ ✽ ✮✘ ◆ ✏
✽➾✽❄✹✳❀
✫✬ ✕✮✂✰✲✱
◗✣✷✯✸✼✹
✱✲✮✘ ◆ ✳
✽❆✹
✸✜✹
✕✽ ✸
✹✳ê
✶ Ü➻è❷❇✚✹➹❅①■✺❇✤✽✿✹✺Ý❷❃➻❇✵ì③❇✟❅❘í✷❇✚❇❦✹☎❅❘íP❊➷❍①✱✳✲✚✲✚❇❦❍✸❍rÜÏè❄❇❉❊❷✶①ÜÏ❇✚✹♠❅①❇❛❀☎✲✟✶✗✽❄✲✗æ➉❍❩íP❇✌❀✺❇✟ä✳✹✺❇✌❅①■✺❇✌❊❷✶①ÜÏ❇✚✹ ✰
❅✸✽●❅✸Ü➻❊❷✹➾❊✿ç✷✽✮❀✺✽❄✶r❅❉✽❄❍◆❅✸■✺❇s❍r✱✺ß ❊❄ç✙❅①■✺❇s✽✿✹✳Ý❄❃Ï❇❦❍➬ì③❇✟❅❘í✷❇✚❇❦✹➾❅✸■✺❇➱❊❷✶①ÜÏ❇✚✹♠❅①❇❛❀➾✲✟✶✗✽❄✲✗æ➉❍Ð✽✿❃Ï❊❄✹✺Ý➷Ü➻❅✸❍
✽❄❍✸❍r❊➉✲✟Ü❿✽●❅✸❇❦❀t❍①❇✚Ý❷ß❪❇❦✹♠❅❦ê ✶ Ü➻è❷❇✚✹✮✽✤❀✺✽✿✶①❅✾✹❪ÜÏ✹✔▲✡✔❐❅①■✳❇Ð❊❷✶①ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹t❊❄ç✔✹❪ÜÏ❍➍❅①■➇✱✳❍❩❀➉❇✚ä✳✹✺❇❦❀✮ì➇Þ✘✺
✺ ✬ ✫
✹❃✮ ◆ ✙ ✟ ✗
✚
✛✜✛ ✗ ✫
✧✿✺✞✝
✸❃✫
✹✜✛✒✮
◗
✧✿✺✞✝
✸❃✫
✹✜✛✣✢ ✗ ✮✂✮
✘ ✫
✽❃✮
í◆■✺❇✚✶✸❇ ✹ ✗ ◆✣◆●◆ ✹ ✙ Ü❿❍✓❅①■✺❇❂❅①■✳❇➪❍①❇❦î♠✱✺❇❦✹✳✲✟❇❂❊✿ç✤Ü➻✹✺Ü➻❅①Ü❿✽✿❃✵❀✺✽❄✶r❅✗❍➹❇✚✹✳✲✚❊➇❀✺Ü➻✹✺Ý❴❅①■✳❇➪❍①❇✚Ý❷ßs❇✚✹♠❅
✽❄❍✸❍r❊➉✲✟Ü❿✽●❅✸❇❦❀✮❅①❊ ✹✼ê ✏✾❊✿❅①❇❉❅✸■✳✽●❅
✫
✧✿✺✞✝
✸❃✫
✹ ✛✒✮
◗
✧✿✺✞✝
✸❃✫
✹ ✛✣✢ ✗ ✮✘ ✲❦✽✿✹✺✹✳❊✿❅➬ì③❇✌✱✺✹✳❀➉❇✚ä✳✹✺❇❛❀➹ç❶❊❄✶✾✽❄✹♠Þ
✿ ◗ ◗ ❂ ❁ ✫
❊❄✶❪ßs✽➽Þ❂ì③❇➹✽✿❅r❅✸✽❷✲✗■✺❇❦❀é❅①❊ ❇❛✽❄✲✗■➶❀✳✽✿✶①❅❪✽✿✹✼❀é✱✺❋➓❀✺✽●❅✸❇❦❀➶❀✺✱✺✶①ÜÏ✹✺Ý ❅①■✺❇☎✲✟❊❷✹✳❍❘❅✸✶①✱✼✲➃❅①ÜÏ❊❄✹é❊❄ç➬❅①■✳❇
❋♠Þ➇✶✗✽✿ßsÜ❿❀➭ê✶❢✹✳❀➉❇❦❇❦❀➭ð➭❃Ï❇✟❅✌✱✳❍➱✲✟❊❄✹✼❍rÜ❿❀➉❇✚✶✧❅❘í✷❊✡❍r✱✳✲❦✲✟❇❛❍①❍①Ü➻è❷❇❪❀✺❊❄✱✺ì✺❃Ï❇t❀✺✽✿✶①❅✸❍✬✹ ✗ ✽✿✹✼❀ ✹✁t✽●❅✵❊❄✹✳❇
❃➻❇❦è❄❇✚❃❩❊❄ç➬❅①■✺❇☎❋➇Þ➇✶✸✽❄ßsÜÏ❀➭ê❊❱ç ✹✘✗✓❍①✱✺✶①è➇ÜÏè❄❇❛❍✤✽✿❅✤❅✸■✺❇✡✽✿ì③❊●è❄❇✮❃Ï❇✚è❷❇✚❃❩Ü➻❅✸❍s❊❄✶✸ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹➐ßt✽➽Þéì③❇
✱✺❋③❀✳✽●❅①❇❛❀➹ì♠Þ❂à✆✽✚ã✺ ✺ ✬ ✫✹ ✗ ✮ ◆ ✺
✬❃✫
✹ ✗ ✮ ✏ ✺ ✬ ✫
✹✁✒✮
✏ ✫
❀❂✧
✫✹ ✗ ✮ ◗
✾✓✧
✫
✹✂✒✮✲✮
✘ ✫
P✩✮
✏➬❊✿❅✸❇➷❅✸■✳✽●❅✤❅①■✺Ü❿❍❪❃Ï✽❷❍❘❅✌ç❶❊❷✶①ß✤✱✺❃❿✽✡ßt✽➽Þ❂ì③❇✮❇✞✝➇❅①❇✚✹✼❀➉❇❦❀➪❅✸❊➾❅✸■✺❇✮✶✸❇✚ßs❊●è●✽✿❃P❊✿ç✾✽ ❍①❇❦î♠✱✺❇❦✹✳✲✟❇✮❊✿ç
❍r✱✳✲❦✲✟❇❛❍①❍①Ü➻è❷❇✧❀✺❊❄✱✺ì✺❃Ï❇✵❇❦❀✺Ý❄❇❄ê
ë❩■✺❇Ð❀✺✽❄✶r❅ ✧❍✷❊❷✶①ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹tßt✽➽Þ❪❅①■➇✱✳❍✷ì③❇✧✲✚❊❄ßs❋✺✱➉❅✸❇❦❀✓ì♠Þ❪ä ✝➉ÜÏ✹✺Ý✤❅①■✺❇✧❊❄✶✸Ü➻❇❦✹♠❅✸✽●❅✸Ü➻❊❷✹t❊✿ç❐✽❄❃➻❃
Ü➻✹✺Ü➻❅①Ü❿✽✿❃❩❀✺✽❄✶r❅✗❍❉❅①❊
❅
✽✿✹✳❀➪✱✳❋③❀✺✽✿❅①ÜÏ✹✺Ý➾❅✸■✺❇✓❀✳✽✿✶①❅✌✧❍✵❊❄✶✸Ü➻❇❦✹♠❅✸✽●❅✸Ü➻❊❷✹➪✱✳❍rÜÏ✹✺Ýå❇❦î♠✱✳✽●❅✸Ü➻❊❷✹ P✡❀➉✱✺✶✸Ü➻✹✳Ý
❅①■✺❇✵✶✸❇✚ßs❊●è●✽✿❃➓❊✿ç✝❇❦✽❷✲✗■➹❀✺❊❄✱✺ì✺❃Ï❇❉❇❦❀➉Ý❷❇❉æ❄❇✚✶✸✹✺❇❦❃❺ê
✰✂❇✟❅✷✱✳❍❩✲✟❊❷✹✳❍rÜ❿❀➉❇❦✶P✽➱❍①❇❦î♠✱✺❇❦✹✳✲✟❇✪✹✘✗✼◆●◆✣◆ ✹ ✩
ÜÏ✹✔▲✡✔✔❍r✱✳✲✗■✮❅①■✳✽✿❅✾✹ ✛✣✢ ✗❲◆
❙ ✔ ✫✹ ✛ ✮✩ç❶❊❄✶❩✽✿❃Ï❃
✂
ÜÏ✹
✿ ✽ ◗
◆●◆✣◆
◗✵ ❂ ✽ ❁
✽✿✹✳❀ ✹ ✩ ✡
◆ ❚ ✔ ✫
✹✘✗✌✮➃ê✢❱❅✸❍◆❊❷✶①ÜÏ❇✚✹♠❅✸✽✿❅①ÜÏ❊❄✹✓ÜÏ❍◆❀➉❇✚ä✳✹✺❇❛❀✓ì➇Þ✠✺
✺ ✬ ✫
✹✘✗✼◆●◆●◆✥✹
✩ ✮ ◆ ✄☎ ✩ ✟ ✗
✚
✛✜✛ ✗ ✺
✬❃✫
✹ ✛ ✮ ✏ ✫
❀❂✧
✫✹ ✛ ✮ ◗
✾✓✧
✫✹ ✛✣✢ ✗✞✮✂✮
✘✝✆✞
✏ ✺ ✬ ✫✹ ✩ ✮ ✫
✆✯✮
ë❩■✺❇➬î♠✱✳✽✿✹♠❅①Ü➻❅❘Þ
✫
❀✖✧
✫✹ ✩ ✮ ◗
✾✓✧
✫
✹✘✗✌✮✲✮✘ ■✳✽❷❍✔❅①❊✵ì③❇❩✽❷❀✺❀➉❇❛❀➱❅✸❊✡✺
✬❃✫
✹✘✗✼◆●◆✣◆ ✹ ✩
✮✔Ü➻ç✼❅✸■✺❇➬❍r❇❛î♠✱✺❇✚✹✳✲✚❇
❀➉❇✟ä✳✹✳❇❦❍◆✽s✲✟❃Ï❊❷❍①❇❦❀✮ì✼❊❷✱✺✹✳❀✺✽❄✶①Þ❷ê✟✏➬❊✿❅✸❇✧❅①■✳✽✿❅
✫
❀❂✧
✫✹ ✛ ✮ ◗
✾✓✧
✫✹ ✛✣✢ ✗✞✮✂✮ ✘ ✲✚✽❄✹✺✹✺❊❄❅❩ì③❇❉✱✺✹✳❀➉❇✚ä✳✹✺❇❛❀
ç❶❊❄✶✮✽❄✹♠Þ ✂ ☎ ✿ ✽ ◗
◆✣◆●◆
◗✠✟ ❂ ✽ ❁ ✫
❇❦î♠✱✳✽✿❅①ÜÏ❊❄✹ ✬✩✮✟ê✭❈✡❊❄✶✸❇✚❊●è❷❇✚✶❛ð✝❊❄✹✺❇ ✲❦✽✿✹ ❍①■✺❊●í ❅✸■✳✽●❅➷Ü➻ç✵❅①■✳❇
❍r❇❛î❷✱✳❇✚✹✳✲✚❇✧❀➉❇✚ä✳✹✺❇❛❍✷✽❪✲✟❃Ï❊❷❍①❇❦❀➷ì✼❊❷✱✺✹✳❀✺✽❄✶①Þt✽✿✹✼❀➷Ü➻ç ❀❂✧
✫✹ ✩ ✮ ◆ ✾✓✧
✫
✹✂✗✦✮
✟ ✗
ð♠❅✸■✺❇✚✹✓íP❇❉❍r■✳❊❄✱✺❃❿❀
■✳✽➽è❄❇
❚ ✔ ✫✹ ✩ ✮ ◆ ✹ ✗ ð✺í◆■✳ÜÏ✲✗■➹ÜÏ❍➬✶①❇✚ç❶✱✳❍r❇❛❀✮ì➇Þ➷■➇Þ➇❋③❊✿❅①■✳❇❦❍①ÜÏ❍❦ê
❱✾❍①Ü➻✹✺Ý❂❅✸■✺❇✡❍①✽❄ß❪❇☎✹✺❊❄❅✸✽✿❅①ÜÏ❊❄✹✳❍s✽✿✹✼❀➶■➇Þ➇❋✼❊❄❅①■✺❇❛❍rÜ❿❍❪❅①■✼✽✿✹➘❇❦î♠✱✳✽●❅✸Ü➻❊❷✹❘✆✳ð✙❊❄✹✺❇➹ÜÏß❪❋③❊❄✶①❅✸✽❄✹♠❅
✶①❇❛❍r✱✺❃➻❅✵❍r■✺❊●í◆✹åì➇Þ ✴✷✶✸✽❷î❷✱✳❇✚❃❿✽✿ÜÏ✶①❇➱✽❄✹✳❀ ❇✾❊❷ß❪❇❦✹✺Ý❄❇❦✶tà✆✽✚ã✙❍r❅✸✽✿❅①❇❛❍✾❅✸■✳✽●❅❉❅✸■✺❇s❊❄✶✸Ü➻❇❦✹❷❅✗✽●❅✸Ü➻❊❷✹ ❊✿ç✷✽
❍r❇❛î❷✱✳❇✚✹✳✲✚❇❍✹✘✗ ◆✣◆●◆
◗ ✹ ✩
❀➉❇✟ä✳✹✳Ü➻✹✺Ý❴✽é✲✟❃Ï❊❷❍①❇❦❀❴ì✼❊❷✱✺✹✳❀✺✽❄✶①Þ❴ÜÏ❍t❇❛î♠✱✳✽✿❃◆❅✸❊ ✽éÜ❆ç✵Ü➻❅✮Ü❿❍s❅①✶✗✽➽è❄❇❦✶✸❍①❇❦❀
✲✟❃Ï❊➇✲✗æ➇í◆Ü❿❍r❇✵✽❄✹✳❀
❂
✽s❊❄❅①■✺❇❦✶①í◆Ü❿❍r❇❷ê ❈✡❊❄✶✸❇✚❊●è❷❇✚✶❛ð❄❅✸■✺ÜÏ❍✾❍r❇❛î❷✱✳❇✚✹✳✲✚❇❉✲✚❊❄✶✸✶①❇❛❍r❋③❊❄✹✼❀✺❍P❅①❊✢✺
✎
✽✤ä✳✹✺Ü➻❅①❇✵ç➺✽❷✲✟❇❉❊✿ç ▲ ✔ ✽✿✹✳❀✮❅①■➇✱✳❍✾✽✤✶✸❇✚Ý❷Ü➻❊❷✹✓Ü➻ç✝Ü❆❅✗❍❩❊❄✶✸Ü➻❇❦✹❷❅✗✽●❅✸Ü➻❊❷✹✓Ü❿❍❩❇❦î♠✱✳✽❄❃➓❅①❊
❂
✽✳ð
✎
✽➪❍r❇✚❅s❊❄ç➬ç➺✽❄✲✚❇❦❍s❊❄ç ▲✡✔✵✲✟❊❷✹✺✹✺❇❛✲➃❅①❇❛❀➐ì➇Þ➐ì✺✶✸Ü❿❀➉Ý❄❇❛❍❪✽❄✹✳❀❴Ü➻✹✳✲✚❃➻✱✼❀➉❇❦❀❴Ü➻✹➘❊❄✹✳❇✓ç➺✽❷✲✟❇➹Ü❆ç✧❅①■✳❇
❊❄✶✸Ü➻❇❦✹♠❅✸✽●❅✸Ü➻❊❷✹✮Ü❿❍◆❇❦î♠✱✳✽❄❃➓❅①❊★✽✳ê✘✟➇✱✳✲✗■☎✽t❍r❇✚❅❩❊❄ç❐ç➺✽❷✲✟❇❛❍❩ÜÏ❍◆✲❦✽✿❃Ï❃➻❇❛❀➹✽❄✹✓ÜÏ✹➉ä✳✹✳Ü❆❅✸❇❉ç➺✽❄✲✟❇➷à✟✽✟ã❱ê
✴PÞ❂✲✟❊❷✹✳❍❘❅✸✶①✱✼✲➃❅①ÜÏ❊❄✹é❇❛✽❄✲✗■é✲✟❊❷ß➱ì✺ÜÏ✹✳✽✿❅①❊❄✶✸Ü❿✽✿❃✙ßt✽✿❋✾▲ ✔ ❊✿ç➬✽➾✲✟❊❷ß➱ì✺ÜÏ✹✳✽✿❅①❊❄✶✸Ü❿✽✿❃✙❋➇Þ➇✶✸✽❄ß❪Ü❿❀❂ÜÏ❍
✲✟❊❄✹✳✹✺❇❦✲✟❅①❇❦❀é✽❄✹✳❀é✽✿❃Ï❃✩ç➺✽❷✲✟❇❛❍✵❊✿ç❈▲✡✔➬ì✳✱➉❅✤❊❷✹✺❇✮❀➉❇✚ä✳✹✺❇✮✽☎ä✼✹✺Ü❆❅✸❇tç➺✽❄✲✚❇❄ê✔ë❩■✺❇➷ÜÏ✹➉ä✳✹✺Ü➻❅①❇✮ç➺✽❄✲✟❇✮❊✿ç
✽å✲✚❊❄ß➱ì✳Ü➻✹✳✽✿❅①❊❷✶①Ü❿✽✿❃Pßs✽❄❋❴❇❦✹✳✲✟❊➉❀➉❇❛❍✤❅①■✺❇➹ì✳✽❄✲✗æ➇Ý❷✶①❊❷✱✺✹✳❀é❊❄ç➬❅①■✺❇☎ÜÏßt✽✿Ý❄❇
✫
❀➉❇❦✹✺❊✿❅✸❇❦❀❴ì➇Þ☛✡ ÜÏ✹
ï❐ÜÏÝ✳ê✠✱✤✮✟ê✼ë❩■✺❇➱✽❄ì✼❊●è❷❇❉❋✺✶①❊❷❋✼❇❦✶r❅❘Þ✓ÜÏ❍✾✱✳❍①❇❦❀☎ÜÏ✹✻✟➇❇❦✲✟❅①ÜÏ❊❄✹ ✽t❅✸❊➷✲✟❊❄ßs❋✺✱✺❅①❇✌ÜÏ✹✳❍①ÜÏ❀➉❇✤✽✿✹✳❀☎❊❷✱➉❅✸❍①ÜÏ❀✺❇
✽❄❀✒✑r✽❷✲✟❇✚✹✼✲✟Þ➷✶✸❇✚❃❿✽●❅✸Ü➻❊❷✹✳❍r■✳Ü➻❋✳❍✷í◆Ü➻❅①■☎❃Ï❊➇✲❦✽✿❃✂✲❦✽✿❃❿✲✟✱✺❃Ï✱✳❍❦ê
☞ ❄åÖ ❆ ❍✧Ø◆Ô✺ÚrÓ ✄ Ú①Ó❲❏➇Úr×❲❁ Õ ❁ ❉ ❂✔Ô✺Ú❘Ö➍Ó ❏✶✞ÐÚ❍❑❏
Û ❍✝ÜÏ✹➱❅✸■✺❇✷❀✺✱✳✽✿❃➉Ý❷✶✸✽❄❋✺■✌❋➇Þ➇✶✸✽❄ß❪Ü❿❀✵ç❶✶✗✽✿ßs❇❦íP❊❷✶①æ➓ð❦❅①■✺❇❩ÜÏ✹✳✲✟❃Ï✱✳❍①Ü➻❊❷✹➱✶✸❇✚❃❿✽●❅①ÜÏ❊❄✹✼❍r■✺ÜÏ❋✳❍✔✽✿✶✸❇P❇❦✹✳✲✟❊➉❀➉❇❛❀
í◆Ü❆❅✸■✺Ü➻✹✌❅①■✺❇✷✲✟❊❄ß✤ì✺ÜÏ✹✳✽●❅✸❊❄✶✸ÜÏ✽❄❃✿❋➇Þ♠✶✗✽✿ßsÜ❿❀Ðç❶✶✸✽❄ß❪❇❦íP❊❷✶①æÐì➇Þ✧❍①❇✚❃➻ç✖✰➂❃Ï❊➇❊❄❋✳❍✌✺ ✏ ✹✳❇✩è❄❇❦✶r❅✸❇✦✝ ✝✧✽❷❀✒✑r✽❄✲✚❇✚✹♠❅
❅①❊s✽✌è❄❇❦✶r❅✸❇✦✝ ✻ ✽❄✹✳❀✮❍①✱✺✶✸✶①❊❷✱✺✹✳❀➉❇❛❀tì➇Þs❊❄✹✺❇Ð❃➻❊➇❊❄❋✓❊✿ç ✻ ❇✚✹✳✲✚❊➉❀➉❇❦❍✷✽➱✶✸❇✚Ý❷Ü➻❊❷✹tÜ➻✹✼✲✟❃Ï✱✳❀➉❇❦❀✓ÜÏ✹➷❅①■✳❇
