Coding theory and cryptography; from enigma and geheimschreiber to quantum theory

 ✂✁☎✄✝✆✟✞✠✆☛✡✌☞✍✁☎✞✎☞✍✁✏✡✒✑✓✞✎✔✕ ✂✁✍✖✗✁✏☞✙✘✚✆☛✛✜✞✎✡✒✛✜✢✣✑
✤ ✛✥✔✠✁☎✦✎✧✚✁☎✑✩★✪✁✏✧
✭✫ ✬☛✮✯✬✟✰✏✱✏✲✴✳✵✮✷✶✹✸✻✺
✼✙✼✙✽✵❋❱✾❀❭❪✿❁❚☛✽❃❂❅❑❊✿❁❄❇❯✩❆❈✽❃❋❱✾❊❂❫❉❅✿✚❋❍●❏▼✟◆❙■▲❘❏❑❁▼✟❚☛◆❖✿❁❋✷❉❈✾❊✾❊❋❱▼✟❯✓❑€❚☛▼◗✿❁◆❙✽❃❲❍❘❏❚✟❴❛❚◗❵✹✿❁❉❅❲❱✽❃❋❱❋❱❯✓❂❅❲❱❚◗❋❱✿❁✾✽❃❲❱✾❨❳❩❯✩❋✷❑❁✽❬✿❁❆❈✾
❵❝❜✙❞❨❡❣❢✹❤✌✽❃❂❈❄✟❉❪❚◗❯✐✿❁▼❇❂❥❢❈❞❦❋✷❧♠❡✌▼◗❑❁♥♣♦❍q❇r✟s✉t❍✈①✇✟s❇s✟s
② ③❈④❨⑤⑦⑥✻⑧✍⑨✐⑩☎❶❷⑤✻❸❁⑧❨④
✗❹➍☛✶⑦❺❝➉⑦✸❪✬◗❻✥❼❥✰✯❼❷✬❇✶❪❺❝❽✹✶✹✬✟❽⑦✰✷❾€❾€❿❥➉⑦❺✉➆❥➀✹✰✯✬➁✲✴✸✻✸✻➏♣✶❫➂➃➐➑✶✹❼➄✰✷✬✟✳✴✬◗➉➒✸✎➐➓➅✻➆✻❺❝❼❥✰✏✳➇➔✯✲❖❾➈➔❍❿❥→❷✬✟➣✐➉✎➆⑦❺❝✮✷❾➈❼❷✮✷✶✹❺✹➆⑦✸❥✮✍➉⑦✮✷✲✴✸✻❿✻➏✥✬✩❺❝➂✙↔❏✶✹✰✷✶❅❽✥✸✻➏↕✶❝➊➋✮✯❿✻✮✯❿✻✬❇✬✓❾➈✬✪➌✙❺✹✳✴✰✯✬☛✬✩✮✷➍❱➙☎❿❥✳➇✳✴✬✟❺✹❻➎✸✎✫✚➛➋❺❝➆✻✰✷✰✯❽ ➜
✲➇↔❏✸✻➏➄❺❝✮✯➝⑦✲✴➛€➀✹✬✍❿✻✬❣❼✻✲✴➞❨✶✹➏❅✸✻✰✷✲✴❺✹➏✹➅✻↔♣❿❪❺✻❻✩➟❈✶❝❼❪➊▲❻✥❺➁➙✏➏✹✸❥✬✟➉⑦✸✻✰✷✲➇➆➄✬◗➂➃❾✚➂✍✱✏❿✻✶⑦✶➁➉⑦↔♣➏✹✬❇❺✹❾➁➉⑦➠ ✬✏✱☎❺➁✶❫➡①➆✻➟✻✸❥❺✜✲✴➤❈❾➈➆✻✬✟✸❥✬☎❾✯➍◗✲✵✮✷✶✹✲➇✸❈➀❅✮✯✬❣✰✷✲✴❺✹❼✻✸❥➆⑦➉✥✮✯✲✴✬✟✶✹✸✻✸✜✶✹✮✯✰✷✶✩↔❏➂✍✶✹➆❥✲✴✸✻❾✯✸✻✳➇❻❏✲✴✸✻✲✴➏✩✸⑦➊➢✮✷✶✹❿✻✰✯✬ ➜
➂✙✬✟➉⑦❺✹✲➇✰❦✮✯✬❇➂✍➉✠❿✻❼❪✲✴✳✴❻✎✬✐➧✙❿✻✬❣→❛✱✓➂€❺✹→❛❾€✱✏❾➈✲✴✲✴✸❥↔✪❾✯✳➇➆❥✬✟✳✵❻➒✮❱❺❝❺✹✸✻✸❥✬✟➉✗✶✹➆❥➙✏❾✯✳➇✳❖❻❏❺❝✸➑✲✴✸❪➨❈➀✹✮✯✬◗✰✷✸❈✲➇➅❥✮✷✲➇➅➩✸✻➏✪➠ ✱☎✮✯❿✻✲➇✸✻✬➁➡①➟❛➍☛✶❅❺✥↔❏❾✯✬◗➅✻✰✷➆⑦✲➇✬❇✮✯✬✟❾✏✰✟✶❝➥⑦➊❨❺✹❺✹✸❥✰➈➉➒✮✷✲✴➦❦➍◗✳➇✶⑦✬❇➉⑦❾✍✬✟➅✻❼✻✰✷✰✯✶❫✬❇➀❪❺❝✲✴❽❅➉⑦✬◗✲✴✰❱✸✻❾◗➏ ➟
✳➇➉⑦✫➯✬✟✬☛✰✷❻➑✮❱✶❝❺❝➊➢✫✚✬✟✲✴✳➇❺✹❾✷✬❇❾✯✰✯➉✓✶✹❽❛✰✙✲✴→❩✸⑦➔❍✫✚➊➢→✻✶✹❺❝➲❥✰✷✰✯↔♣→❩✮✯✲❖➳➵❺❫➍☛➲❅✮✯➆❥❺❅✲✴✳✴✶✹➍❱❺✹✸✜❽⑦✰✯➸✙✳✴✶✹❻✎➺❣✸✪✮✯✶❪✮✯✶✗❿✻✶⑦✬✙❼❷➉▲✬➫➟⑦↔❏✬◗➍◗✬☛✸❈✶✹✮✯✮✯❿❥↔❏✲➇✮✯✶❪✳✴↔❏➉❥✬✟➉➼❾✭✬◗✸❥✬◗➻✷➉⑦↔❏➞➯✬❇➅✻✸✻➉➭✳✴✲✴✶❫➏✹❺❝❻✹↔♣↔❏✬✟❺✪➉✓✶✹✸❥❺✹❼❈➏✎✸❥❻➁➉➒✮✷✮✯❿✻❿✻➧➋✬€✬✥✲❖❾✯➍☛✳❖❿❥✶⑦❺❫➽✻✮✯➉⑦✮✯➟⑦✬◗✬✟✲✴❼❥✰✪✸➎✰✯✬❇✲❖➂✍❾✩❺❝❿❥❽✹✮✯✬✟✲✴❿❥➍❱✰✷✬➫❿✎❾❙✶❝❺❝➲❅➊➄✰✯❺❅✮✯➌✙➍❱✲❖❽❛➍☛✳✴✳✴✬☛➟❈✬♣✮❱✶❅➍❱❼❪✸✻❿⑦❻ ✬ ➜
✮✯✶❝➉⑦❿✻➊▲✬✟✬♣❾✷✮✯➍☛❿❥✬✟✰✷✬✐➀✹✲➇❼❷✬◗❽❅✬✟✸➑✬◗❾☎❻❏↔❏✮✯↔❏❿❥✶✹✬↕✬◗✰✷✬↕↔✪↔♣❼❷❾✯❺❅✶✹✬◗➍❱➅❥✰❱❿✻❾❦❿✻✲➇✸❥✲✴✶❝❾➈✬✟➊❩✮✯❾✐✲❖✮✷➍◗❿✻✬◗❺❝✬✏↔❏✮✯✬❇✮✷➅✻➉➑✬✟✳✴❺❝✶❫➺❣↔♣❻✹✬✟✬✟❾✙➉✗❿✻➂✙✬◗❼❈✲✴✶✹↔♣❻✎✰✷❽❈❾✯✮✷➍❱✲✴❿✻✸✻❿✻✬♣➏➁✰✷✬◗➺❣➾❥✲✴❼❷✰❱✬◗✬◗❾➈✰✷✮✙✰✓↔❏✶❅➍☛❺✹✸➫✶⑦✸❥➉⑦❾❣➚☎✬✠❺❝❺✉➳➪✸❥➀❫➂✍❺❝➉✗✳❷❿✻✮✯✲✴➞➯➍❱❿✻✸✻❿➑✬↕✲✴➏✹➂✙↔♣↔♣✬❏❺✹❺✜➍❱➍✟❿✻❺❝❺❝✲✴✳✴✸❥✸✻✳➇✬❇➉❏✬✟➉➶❾❣✮✷❿✻➂✙➧✌✬◗✲❖✬✜✸➎❾➈❿❙➉⑦✶✹➹ ✬◗➸☛✸ ➜ ➟
➀✹❺✹✬◗➉⑦✳✴➀❫✶✹❺❝➅❷✸❈✬✟✮❱➉➒❺❝➏✹✮✷✬❅✶✥➟❛❿✻✶❝✬✟➊✍✳➇➅✎➍☛✶✹✮✷➆❥✶✥✰✷❾✯✰✯✬✹✬❇➟❛❺✹➊➢➉✎✶❅✰➁↔❏✮✯✬✟❿✻❾✷✶❈❾✷❺❝❾➈✬♣➏✹✬❇❺❝❾€❼❥✬◗✳➇✬❅✸❥➟❩➍◗✰✯✳➇❻❪✲✴❽✹➅⑦✬♣✮✷✬✟➲❈➉✎❺✹➍❱❼❪❽➘❻➎➺❣✮✯❿✻✶❪✬❇✶⑦❾➈➉▲✬✓➟▲↔♣✮✷✶✠❺❅➍❱➅✻❿✻✰✯✲➇✶❫✸❥➀❪✬✟✲❖❾✟➉⑦→❥✬↕➔❀✮☎➅✻✰✯✲❖❾☎✬❇➍☛❺♣✲❖❾➈➏❅✬♣✰✯✬❇➉⑦❺❫✬◗✮➜
✲➇❾✯✸⑦➍◗➊➢✰✯✶❅✲✴➅⑦✰✯↔♣✮✯✲✴✶✹❺❝✸➄✮✯✲✴❾❨✶✹✶✹✸➒➊❙❿❥✮✯❺✹❿❥❾€✬✟❾✯✸✻✬✐✶❫↔♣➂✩❺✹➟✻➍❱❺❝❿❥✮✏✲➇✸✻✳➇✶❅✬❇✸✻❾❦➏↕❺✹✳✴✸❥❺❅➉✥❾❁✮❇✶✹➟✻➊❙❼➄✶✹✬✟➆❥✬◗✰✙✸✠↔❏➉⑦✬❇✬◗➍☛✮✯❿✻✳❖❺✹✶⑦❾✷➉✻❾➈✲➇❾✟➾❥➟❈✬✟✮✯➉❩❿❥→ ❺❝✮€↔✜➆❥➍❱❿➫✶✹➊❩✮✯❿❥✬❣✸❥✬✟➍☛✬❇❾✯❾✷❺❝✰✷❻
✮✯✮✯✶↕❿✻✬↕➂✍➐➴❾✯✰✯❺✹✲➇✲✵✮✯↔↕✮✷✬✐❿❏✬✩❻✹❾✯✬☛➂✙✶➁✮✍✬✟↔♣❺❝❺✹✸❥✳✵❺❝✮✷✶❝✸❪❿✠✮✯❻✓❿❥✶❝➏✹✬◗➊✚✰❦✶❪✲✴✶⑦✸⑦✮✯✬✟➉↕➊➢✶✹➍❱❾➈✰✷❿❥✶❅↔♣✸✻➆✻✲✴❺❫➍✟✰✷✮✯➍◗❺❝✲✴✬✟✳❛✶✹❾✌✸✠❺❝✶❝✰✯❺✉✮✯➊❛✲❖➀❫✲✴➍☛✸⑦❺❝✳✴✬✹✲✴➊➢✳❖✶✹→✻❺❝✰✷➣✐❼✻↔♣✳✴✸✥✬✓❺❫✮✯✮✷❺❝✲✴❿✻❼❷✶✹✬✐✸❏✶✹➆⑦✶✹❺✉✮☎✮✯➀❫❿✻❺❝✮✯✬✟❿✻✲✴✰❦✳✴✬✓❺✹❿➄❼✻↔❏❺❝✳✴✬✹✸❥✶❅➟✉➉▲✰✯✲✵✬✓✮➯➟❈✮✷❿❪➂✙❿✻➆✻✶✹✬◗↔♣➆❥✰✷✬☎✳✴❺✹➉✜❿❥✸✗❼➄❺❅❾➈✬✍❾✙✲❖➉⑦➅❷✸✻✬✓✶❝✶✹✮✙✲✴✶✹✸❈➊✭❼➄✮✯✳✴✬✟✶❅✬✟✬◗➆✻❾✷✸ ✰❾
➔✓❺✹➞➯➍❍✸✻➂✍✮✷✲✴✲➇✲➇➏✹➀❪✳✴↔♣✳€✲➇✮✯✶✹✲✴❺♣✬✟✸✻❾€➳➢✳✴✲✴❻➭❺❫✸✗✮✍❾➈➬❇➌✙➅❷➮❝✬✟✳➇➱❈✬◗❺✹✃❅✮✷❽➑➸✭➍❱❿✻❺❝➊➢✳✴✶✹✸❥✬◗✰↕➉↕❻✥↔✪✮✷✫✚❿✻❻⑦❺✹✬◗❾➈✰✯✸➫✬✟❽❛✳✵➟❈✶✹➊❁→✭❾➈✸✥✶✜➔❍➧✌➟➋➅➄✲✴✮✯✬✟❾✯✶❪❿✥✰✯✶❥❿❥➆✻➟✭❺✹✸❈➅❥✳✴✲➇✮✷❾❦❽❅✲➇✳➄✬➎✮✯❿✻✮✯➲❈❿✻✬✟❺✹✬✐✰✯✬❣➍❱✬◗❽➭✲❖✸❥❾✙➉❏➺❣❺✜✶❪✶✹➏❅➊▲✶❪❺✹➉❩✮✯➅♣❿✻➟✌✬✐✮✯➂✙✶↕➞➯✶✹➆✻❼❷✰✷❽✹✰✷✬☎✬❇✶✹➾❥➉➑➅❷✳✴✬✟✳✴➾❥✬✟❺✹✰❱➉▲✸↕❾❁→➄✮↕➐➓➣☎✶✹❺❝➊➋✸➷✰❣➍◗✶✹➚✐➳➪❹✗➆✻❺✉✰❱➀❫❺✉❾✯❺❝❻❅✬✹✳➟➟
➂✮✯✍➬✟✰✷➮❝✲✵❻❈✮✷➱❪✲✴❿❥❐✹✸✻➉⑦➸☛➏✪➥⑦✰❱❺✉✮✯❼✻✶↕➂✍➆⑦✸➩✮☎➆✻✸❥➔€➊➢➉⑦✰✷❿❥✶✹✬✟❺❅✰✷↔❮➉➒❾➈✮✷❺✹❺❏✮✯✸❥❿✻➅❷➉♣✬✗✬◗✮✷✰✷➞❨❿✻✲✴✶❪✸✻✬✐➉❩✲➇➏❅↔❏➟➄↔♣❺❫✶⑦✮✍❺➘➉⑦➆❥✮✷✮✷❿✻❾✙✬✟✬✓❺✹✶❅↔❮✬✟➅➄✸❥✬✟➉✎✰✷❺❝❺✹✸❥✶❝✸❥➉➶➊✍➉⑦✲❛❰❁➬✟✶❅➮✹✶❝✲➇➱❈➊❩✸✻✃✜✮✷✬❇❿✻➉➷❺❝✬✩✸❥✮✯➉✎➺❣❿✻✬✠✬◗✬❇❿✻❺❝✰✷✬✟✰✷✬✟✲➇✳➇↔♣❾✯❻➫✬✟❾✷❺✹✲➇✸➭➍❱✰✷❿✻➍❱➬❇❿➷✰✯➮❝✬✟✲➇➱❅➏✹❼❷❒❥✰✷✬◗✶✹➟⑦✰✙➆✻➂✍↔♣➅Ï❿✻❺✹✬◗❺✹➍❱✸✎➍☛❿✻✮✯➔€✲✴➆❥✸✻➂€❺✹✬❅✳➇→❈❺✹✳✴❻ ❾➔
✮✯➅➄❿✻✬✟✬✟✶✹✸✓➅✻✳✴➂✙✬✜❺❅✳❖❾❙❺❝✰✷❺❝➏✹✮➈✬✟✮✷❺❅✳➇❻➒➍❱❿✻➆❥✬✟❾✯➉❣✬✟➉➘✮✷✶✏❿❥✮✷❺❝❿✻✸❥✬❦➉➘➛➋↔❏✬✟❾➈✬☛✮✯✮✯✬✟❿❥✰✯❻❅✶❪➟◗➉❥❼✻❾◗➆⑦➟❷✮✭✮✯❿➄✳✴✲✴❺❫❺✹✮➁✲✴❾✯✲✴✬✟❾✟➉➁➟❷➂✍✮✯❿✻✲➇✮✯✬✟❿✩❻✗✮✷➉⑦❿✻✲✴✬❦➉➶➚☎✸✻✬◗✶✹➂✍✮☎↔♣✮✯❿❥❺❝✬◗✸❥↔♣✰✯❻❅❾➈→❇✬✟➛€✳➇➀❅❿✻✬✟✬✙❾❣➛❙➆❥✬❇❾✯✬✪❾❁✮✷✮✷✬◗❿✻✰✷❻✬
✮✯➦❦➦❦✶➘✶✹✶✹✳✴✳✴➍◗✶❅✶❅✶✹❾✷❾✷↔❏❾➈❾➈➆❥✲①➅✻→ ❾❨✳✴✬☛↔♣✮✯✬➫❺✹➍❱✮✯❿✻❿✻✲✴✬➎✸✻✬✹✬☛➥❪Ð❛❼✻✬✟➆✻➍☛✮✟✮✯✲✴➟❪➀✹✶❝✬➫➊➋➉⑦➍◗✶✹✬❇➍☛➆✻✰✷✰❱❻❪❾✯✬✹➅⑦➟❅✮✯✲✴✮✯✶✹❿✻✸➭✬✟❻♣✶✹➊✍✰✯✶❅❺✗➆⑦✮✯↔↕✲✴✸✻✬❇✬◗❾✯✳✴❾✷❻❏❺❝➏❅➆❥✬✹❾✯→❙✬✟➉♣➛€✮✷❿❥❿✻✬➎✬❣➚✏✶✹✬✟➆⑦➂✍✮✷➅✻↔♣➆⑦❺❝✮✍✸✻✶❝✰✷➊✌❻➶➦❦✰❱✶❅❺❝✳➇✸➓✶❈❾✯✮✷❾✯❿✻➆❥✬❾
Đ☎▼✟Ị ◆❩❉❈Ù✙❋✏❴✵❋❍▼✟●✹Ú❪✽❬❚◗✿❁▼✟❴❷❑✐Û①❂❫Ĩ❖✿❁❧❨❋❱●◗❴❃❴❃Ơ❁✽❃❄❇Õ✭❋❱❧✭❂❅▼✟❲❱❋✐❆❈❴✵❘↕●♣▼❇❴❃✽✵❂❫♥❇✿❁❋✏❉❈✿❁❴❬Ø❫▼✩❢❝❋✯◆❖Ư❅▼◗❑❨❭✹❑❁❭⑦❋❱❋✷✾❊❑❁✾❨❯✩❉❈✽❃✽❃✾❊✾✙✾❊✽✵❚◗▼✟❭❈❂↕❭✹✿❁❑❁▼❣❋❱❲❱❑❁✽✵❚◗❋❱✿❁❭✹✽❃❑❁▼❇▼❝❂♣●❅❆❅✿❁▼✪❲❱❋€❘↕✿❁❉❈✽❃❲➈✽❃❉❪✾❨❚✟❚◗❋✷❑❊❴❛✿❁✽❃×❨❲❱❴❃Ø❫❋❇❚✟Ü ❂➄❢❅❋❍●✹✽❃✿❁▼◗❑


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ịú ➉Ï↔↕❺✹✳➇✬✗✳✙➆✻✮✯❿❥✸✻❺❝✲✴➀✹✮✟✬✟➟✙✰✷✲✵❾✯➊✓✲✵✮❁➔❏❻➓➂€❾➈✮✯❺✹➆❥❾➫➉⑦✬✟➍◗✸❈✶✹✮✷✸❥❾↕❾✷➍☛❿❥✰✷❺✹✲✴➅⑦➉➭✮✯✬❇✮✯➉➷✶➑✲✴➆✻✸❈✸❥✮✯➉⑦✶➭✬✟✮✷✰✯❿✻➏❅✶✗✄✬ ↔❏✏✁ ✶❫✲➇✳✴❻❅✲✵✮❱❺❝❺❝✳✐✰✷❻➑➙✏✰✯✮✯✮✯✰❱✲✴❺❝✳➇✳✴✲✴✬◗✸✻✰✷✲➇❻✹✸❥➟❦➏✠➔↕ó✕➂✙✶✹❿❥➆❥❺✹✳✴➉➉
☎ Ị ❉❈❋✯❑❁❋✎❧✭❋✷❑❁❋❇❢❦▼✟◆➁❲❱▼❇❆✹❑❁✾❊❋❇❢✙❯✓❚◗❂❫Ø♠▼❇❆❅✿❁✾❀✿➈❚◗❂❪●✹✽✵❂❅❄➓❯✓❚◗✿❁❉❅❋❱❯✓❚◗✿❁✽❃❲❱✽✵❚◗❂❈✾♣❚◗❯✩▼❇❂❈❄➘✿❁❉❈✝
❑❁❚✟❋✷❴❃✽❃◆✴❋❱❆❈❂❅❄❇✾✡❋✷✠ ❋❱✾➁◆✴❑❁▼✟❯ Ù✙❋✷❑❁❯✓❚✟❂❫Ø✗❚◗❂❪✟● ✞❦❆❅✾❀✿❊❑❁✽➇❚❝❢❩Ú❈❆✹✿❣✿❁❉❈❋✯Ø✠❲❱▼❇❆❅❴✵●➘❂❅▼✟✿✩Ú⑦❋✪✿❊❑❁❆❈✾❀✿❁❋❍●➘❚✟❋ ✾➁✆✟❋✷❋✷❂❈❧➯❋❱❯☎✽❃✾❊❉Ø
☛ Û➵✿❦❲❱▼✟❆❈❴✵●➫❂❅▼✟✿❦Ú⑦❋❣●✹▼❇❆❅Ú❅✿❁❋❍●↕✿❁❉❈❚◗✿✏Ù✙❋✯❑❁❯✓❚✟❂♣❧✚❚◗✾✙✿❁❉❈✌
❋ ☞①❯✩▼❝●✹❋✷❑❁❂➫❳❙❆✹❑❁▼❇❭⑦❋❍❚◗❂✥❴➇❚◗❂❈❄✟❆❪❚✟❄✟✡❋ ↕✍ ✽❃❂
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ợ ⑧❨í✯í❁ỉ❩é✥✤❨⑩☎✧ỉ ✦
✮✯✮✯➔❀✮✪❿✻✲✴➀✹✬✟➏✹✬✹✲➇✰✩✶❪➟❨✬✟✲➇➂€↔❏❾✓❺❝➂✍↔❏✰✯✮✯✲✵✬◗✮✷✲✴↔❏✸❥❿✻❾✯✶✹✬☎✬◗➆⑦✳✴❰❁❻➼✮❏✶❅❼❥❾✯❿❥❺✉❾➁❺❝❻❪✰❱❺❫✲✴➉❪✸✻✮✓➜❀➏➒➂❦➌✙✮✯✶❅✳➇✬◗❿❥✰✯✮✷❺❝❽❪➍❱✮✜✲✴❿✻✸✻✳✴↔✜➏➶✬◗❻✗❻➶❺✹✸❥✫✚➍☛➉➴✶❅❺✹✳➇✰✯✳✴❺❝❽➎✬✟✳✴❺✹➂✙óý➏✹❺✉➆✻❻⑦✬❇✮✯❾↕❾✩❿❥✬◗✬◗➂✙❻✗✸➄✬◗➍☛✰✷➂✙✶✹✬✥➆❥✬◗✰✷❺❝✰✷✬✜❺✹✳✴✳➯➏✹✲✴✬☛✸❈✲✴✸✻Þ❪✮✯➏➶✬✟✮✯✰❱✳➇✳✴❺❝✬❇✲➇➏❅❺✹✶❅✬◗➍❱✰✷✸❈❿Ï➉✻✮✟✲➇✸❥➟▲✶❝❺✹✮✷➤❈❿✻✰✯➆✻✲✴✬◗✳✴✲❖❻✗✰❇➍❱❽❛→❨➏✹➟▲➙☎✶❪✲➇✳➇✶⑦✸❪↔❏➀✹➉➓✬✟✶❅✸⑦❺❫❾➈✮✮➜
❺❝➉⑦✳✴✲✵✳➯Ð❛✬◗✰✯✬❇✰✷✬◗❾➈➆❥✸❈✮☎↔↕➍✟✬❇❺❝➉➘✰✷✬◗✶❅✬◗✰✩✰❱❾✟➂❦✩→ ✬✟★ ✸❈✮➁✶❅✸➑✮✯✶✠❺✹➍✟❺✹➉⑦✬✟↔↕✲❖➍✐❰❁✶✹❼❥❾✪❺❫➊ ✮✯✬✟✰➁✮✯❿✻✬➫➂✙❺✹✰✟➟❷✮✯❿❥✶✹➆✻➏❅❿➓❾✯✶✹↔❏✬♣➍❱❿✻✶❈❾➈✬
➊➢✬◗✬◗✲➇✮✯✬◗❿✻✳▲➔❀✬✟➔❦✮❣✰✓❾➈✲❖❿✻✲➇❾➁✸➓✶❅✰✯➆✻✬❇➍☛✳❖❺❝✶❅➉✥✳✴↔❏✳➇❻✎✲➇➊➋↔↕✲✴✶✹✶❅✸❪✸❥✸➓➀❈✳➇✲❖❻↕➉⑦✶✹✲✴✮✯✰➁✶✹✶↕➆❥✲➇✸➄➅❷❾✐➉⑦✶✹✮✷✲➇✲✴➀❪✶➎✸❅✲❖✮€➉⑦➅✻✮✷➆❥✲❖➍❱✶✪❺✹❽✠✳➇✮✷✳✴❿✻❻✹✶✹➟❩✬➁➆✻✲✴✮✩➂✍✸➭❺✹✲✴➉⑦❺✹✸❪✬❣➉✻❻➎➉✻➀❫➊➢✲✵❺❝✶❅✮✷✰✷✲➇✰✩✶❅✲➇✬◗✸➶❾➈✮❁➅❷❻❏✮✷✬✟✶➒➍◗✶❝✲✴➊➋❺✹✮✯❿✻❺❝✳✌✮➈✬✟➅❥✮✯✲➇✰✷✰✓✰✷❺✹✲✴❼✻↔♣✲✴❾✯➆⑦✬✜❺❝✮✯✮✯✬❇✶❅❿✻❾❦✰✐✬✟✮✯↔❏↔❏❿✻✬✟❺❝✬✟❻➫✮✯✸❅✲❖✮✷➍◗➉⑦✲➇❺✹✶❅✲❖❾➈✥✳ ✸❩➅✻✪➄➥▲✳❖❺✉❺❝❻✹❻✹✲✴✬◗✰✟✬❇✮❣→▲➉▲➔➔ ➟
➊➪✮✯➂✍❺✉❿❥✲➇➀✹❺❝✳✴✳➵✶✹✮↕➟❷✰✷✲➇✰❱✮✷✮✯❺❫❿✻✲❖✮✯❾➈✬✟❿❥↔✎❾✯✬◗✬✎➟▲✰☎➅➄➔➁❺✹✬✟✰✯➂✍✶✹❼✻➅✻✲➇✲➇✳✴✮✯✳✴✳❨✬➒✰❱❺❝✰✷✬☛↔❏✰✷➊➢✲✴✬✟✳➇❺❅❻❅✰➁➉⑦➟✻✬✠✮✯➍☛✶✗✶✹❺➘✸✻✲✴✸♠➾❥➅❥✸✻✰✯❺❝✬✓✶✹✳✴➊➢➅✻↔✜✶✹❿❥➆✻❻❪❺✹✸❥❾✯❼➄➉➩✬◗✬◗✳➇✮✯➊✭✲➇✲❖↔❏✮✯➍◗✶➫❺✹➅✻✳➯✰✷❾✯✬✟✶✹✬◗❾✷➀❅✰❱❾✯➉⑦✬◗✲➇✸✠✬◗✶❅✰❇✸➩✸❥→➋❺✹✶✹➣☎↔❏✸➼➊✍✬✟➍☛↔❏❾✟✶✹➟❥✬✹➆❥➂✍➥✚✰✷❾✯❿✻↔❏✬✹✲❖➍❱➟❩✶❅❿❩❾➈✲➇✮✪✮❏➟✻✮✷✲❖✶❝✶➫❾✩➊☎➆✻❺✉✮✷➀✹✸❥❿✻✶❅➉✻✬◗✲✴↔❮
✬◗➉➒✰❱❾❁➏❅✮✷❿❥✰✯✶❈❺✉✶❈✶⑦➀✹❾✯➉ ✬❾
➍☛✶✹✸❈✮✷✲➇✸❪➆✻✬❇➉✥✮✷✶♣✬☛Þ⑦✬◗✰✯✮✏❺❝✸➒✲➇✫✸ ➄✪ ➆✻✬◗✸❥➍◗✬✩✶✹✸➒↔✪❻➎✳➇✲➇➊➢✬✩✲➇✸➒✮✷❿✻✬✩➅➄✶❈❾❁✮❁➂€❺❝✰€❻❅✬✟❺❝✰❱❾✟→
✮✯❺❫✲❖✮➈❺❝✮✷✳❖✰✷❾✷✱✏❺❅➸✌➍❍➆✻➂€✮✷➏❅✲➇❺✹➀❅❿➘❾✌✬✓➙✏✮✷➅➄❿✻✳✴✬✟✬☛✬✏✰✷Þ✻❾✯➌✙❺❝✶✹✸➄✰✯✸➄✲➇➉⑦✮✯❺❝✲❖✬◗✳✴❾➈✲✵✰↕❿♣✮❁❻➒➳①➍❱➦✐❿✻❺❝→❛✸❥✬❇❾✯✱✓➉✗❾✚→❩❾➈➍❱✮✯➣✜❿➄✰✷❺❝✲✴ơ ịờ
ú

ìỉ ííỉ ✱❷❚◗Ú⑦▼❇❆✹❑
Ù✾❊✙▼❇▼✵❂❥✴✉❢❅❋✷◆✴❑❁▼❇❂❅❆❅❯✩❂❪●❅❋❱❂❫❋❱✿✚●✹❚✟✞❦❂❈❯✩●✪❂❅✽❃✾✚❋❱✾❀❂❅✿①▼☛Ø✓✶❧ Û➵❂❫✏✌✿❁❉❪❋✷❑❁❚✟❂❪❂❅❚☛❲❱✿❁❋❱✽✵❴❃▼✟❴❃▼✟❂❪❑❨❚◗❴➢▼✟Ü ◆ ✯ Ö✹◆✴▼✟❑➈●✓❜✙❂❅✷✽ ✴❇❋✷❑❁✾❊✽❬✿①Ø❫Ü✸✞❨❂❈▼✟✿❁❉❅❋✷❑❍❢✹■❛❋✷✿❁❋✷❑❨❤➋❋❱❂❈❋❱❂✹✈

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❛■ ❋✯✿❁❋✷❑❨Ý✙✽❃❴❬✿❁▼❇❂
❺❝❺➫✸❥✮✷➉➶✶❝✮❱❿✻❺❝✲❖✳✚❾✓✳❖❺✹❾➈✬✟➍❱✸❥❽✗❾✯✬↕✶✹➊✙✶✹❾✯➊❦✬◗❿❪✳➇➊ ➆✻➜①✰✷↔❏✬◗➏❈✶✹❺❝✰❇✰❱➟▲➉▲➂€➟➄❺✹➔❣❾❣➂€❿✻❺✹✲❖❾✓❾✐➍☛✮✯✶✗✶❅↔↕➍◗➅❥✶✹↔❏✳➇✬◗✮✯✬↕✬❏✮✯✲➇✶✎✸✻➊➢✰✯✶✹✬❇✰✷➍☛↔❏✶❅➏✹❺✹✸✻✳➇✲➇✲✴✮❁ú◗❻✹✬❏→❩❺✹➛€❾✐❿❥✮✯✲✴❾✟❿❥➟❩✬✥➍☛➉⑦✶❅↔✪✲✴❾➈✮✯❼✻✲✴✸✻✲✴✸✻➏❅✬✟➆✻➉➶✲✴❾✯➂✍❿✻✲✴✲➇✸✻✮✯❿➏
↔❏❺❫➊ ✮✯❺✹✬✟✰✯✰✍❽➫✳➇✶❝✬❇➊✭❺✉➀❪➏✹✲➇✰✷✸✻✬✟➏♣❺❫✮✷✱☎✸✻➆⑦✬✟❾✷✮✲❾✙✻✒ ✲➇→✸✠↔✜❻➎➍◗✶✹✳✴✳➇✬❇❺❝➏✹➆❥✬✟❾✟→❪÷☎✸⑦➊➢✶✹✰✯✮✯➆❥✸❥❺❫✮✷✬◗✳✴❻✹➟✻➔€❾✯❺✉➂➃➀✹✬✟✰✯❻✥✳✴✲➇✮➈✮✯✳✴✬✓✶✹➊✭✱☎➆✻➏✹❿
❺❫❺❝✮✓✸➫ị☎❺✹➲❅➅✻❺❅✲✴✰✷➅✻➍❱➏✹❽➁✳✴✲✴✲➇✸✻✬❇➺❣➉♣✲✴❺✎✶❪↔♣✶⑦✫✭➉✥❺❫✶❅✮✯✳➇➳➢❿❥❻❈✸❥✬◗✮✯✶❫↔♣✬❇➂➭➍❱❺❫❿✻➔❍✮✷✸✻→✉✲✴✲❖➍◗➲➄➍↕✲✴→❫❺✹➔❊➺❣✸↕✸❥✶❈❾❁ó ✮✷✶⑦✲✵➉▲✮✷➔✚➆⑦✻➟ ✮✯✐✬➂✍✬✉✲✴✲✴➸✩✳➇❾➈✳❷✮✯➂€✲✴✰✷✸✻✬◗❺✹➏✹➀✹❾❣➆❥✬✟✮✷✰➈✲✴❾✯❿✻✮❨❿✻✬♣✮✯✬✟✶✓➉✜✸✻✮✷✬✟✫➯❿✻❺✹✲❖✰✷✰✯❾❨✶❝✬❇➊➢❾❁➅❷✬❇✮✓✶✹❾✯✲✴❾✯❺✹✸❈✶✹✸❈✮❦✰❩❻➶✳❖✶✹❺❫✶❝➊➄✮✯➊€➨❈✬✟✮✷✰✟➆❥❺❝→❈❾✓✮✯✱✏✲❖➍✟❾❁✬❣❺❝✮✷✲✴↔❏➂✙➍✟❾➋❺❅✬❏❾◗➞❨✮✯➟❅↔❏✶✠✲➇✸✥✬◗❼❷✰✷➊➪✬◗✲✵❺✹✮✷✲✴➍❍✸✻➆❥✮❇➏ ❾ ➟
❺✪➚✏✬◗➅✻➂✍✰✷✶✹↔♣❼➄❺✹❺❝✸✻❼✻✰✯✲✴✳➇❻✪✲❖❾➈❿✻✮✟✬✏➟⑦❼✻➂€➆⑦❺✹✮✍❾✭❿✻✬◗✬➁✸❥✶✹➂€✰✷❺✹↔↕❾❨✶❅ó ➆❥❾✯✳➇❺❝❻✩✸➄✬◗➉✥Ð❷✲❖✬❇❾❦➍❍✮✯ó

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❻
✱✏✶⑦➉⑦➏✹✬❇❾◗➟✻❺✹✳➇✰✷✬✟❺❅➉⑦❻♣✰✷✬☛➊➢✬◗✰✷✰✷✬✟➉➫✮✯✶❥→
✲✵➂✙✮✙❺❅➂✙❾✙➔✚❺❅✮✯➂✍❾➯❿✻❺❝✬➁✲➇✳✴✸✥✳❛➊➢✰✷❼➄✬◗✲➇✬➁✬✟Þ❪✸❥✮✯❾✯✰❱➉⑦❺✉❺❝✳✴❻❪✲➇✶✹✬❇✲✴✰❱✸✻❾❁➉⑦✮✍➏✪✲✴✸❥✶✹↔❏❺❝➊✌✶❅✰✷↔❏❻✹✰✯✬☎➟❫✬◗❺✹✝✸ ❺✹✸❥❼➄❅✹➉♣✶❅→ ➆⑦➂✙✮✍✶✹➙✏✸❥➉⑦✳❖❺❝✬✟✸➎✰➈➊➢➆❥➛➋✳➵➆✻➟❅✰✷✬☛✲➇Þ⑦✸❥➅➄➏✪✬✟✳❖✰✯❺❫✲✴✬◗✮✯✬✟✸➄✰✟➍☛→❪✬✍â❩✮✷✬◗✶✓✮✙❽❪↔❏✸✻✶❫✬❣➂Ï✶✹✸✻❿✻✳✴✲➇❻♣↔✎❺✹➥❪➉✻❺❝➉➫✸❥➉↕✸✻✶❫✮✷➂Ï❿❥❺❫✮✯✮✙❿➄❿✻❺❫✬✮
➅✻➍☛✰✷✳✴❺❅✬✟❺❫➍☛✱✏✬✜✮✷✲➇✬◗➀❅✲➇✸❥✸➶✬✙✰✯❻➶❺❣↔✪↔♣➐➴❻✗❺❫❺❫❿✻✮✷Ð❛✲✵❿✻✮✷✬✟✬◗✬◗➍☛↔♣❿✻✮✯✬❇✲✴❺❝✶✹❺✹✮✯✸❥➉✣✲❖➍☛❾✟✲❖➟❛➳➵❺❝✫➯❺❝✸❩✸❥✰✷➟✹✶❝➉✠❺✹➊➢✸❥✬❇✸❥❾✯➉↕✶❝❾✯✶✹✮➁❾➈✰✩✶➁✶✹✸✻✲✴➲➄✸❅✳✴→➋✮✷❻✎✬◗✱✓✰✷❼➄→✚✬✟✬❇❾➈➦✐➍◗✮✯❺❝✲✴→❙✸✻➆➄➐➴➏✩❾➈✬✜❺❝❿✻✸❥❿✻✲➇✮✯➉↕✬✜✬✟❿✻➉⑦➂€✬✟✲✴❺✹➀✹❺❅❾❣✬✟➉▲✰✷❾✯➟➋❾✯➆❥✬✍➧✙➍❱❺✐❿➘→ ✁✩➅❷❺✥→❬✬◗➨❛✰❱✳✴→ ✶❫❾✯➸✓✶✹➀❫❿❥✸❥❺❝❺✹❼✻❺✹❾✜✳➇✳✴✲➇✬✪✮❁❺✠❻✹↔♣→❫❾➈✱✏❺✹➅❷✸❩✬✟✬✟➍◗✸✻➟▲✲✴✰✷❾➈❺✹❻✶ ✳
❿✻❺❝➍☛✶✹✳✴✬✜✰✯↔✜✬❇➍✟❺✹❼✻❺❝➉⑦↔❏✲✴✸❥❻✥✬✩❺❫❿➄✮✷✮✯✶✹❺✹✶➒✰✷➉✠✲✴➌✙❺✹❺♣✳✻✳➇✬◗✮✯✰✷✮✷✶❅✬◗➍❱➅➄➅✻❿✻➆✻✶❅✳✴✳➇✬◗✮✷✶❅❺❫❻✎➏✹✮✷❻♣✲➇✫✚✶❅❺❝✸✠❺❫✰✷✮☎❽❛❺✹➣☎→❥❾✏✱✏Þ❪❺♣➊➢✬✜✶✹➏❅✰❱❿❥✰✯➉▲✬❇❺✹❺❫➟❈➉✠✮€❼✻➆⑦➉⑦óü✮€✶❅✸✻❿✻❼✻✬✪✲✴➆⑦❾✙✶❅✮✐➂✙➆⑦➉⑦✶✹✮✷✲➇❾➈✰✷ÿ✥✮✷❽❏❺✹➍☛✸❥➂✙➆✻➉⑦❺❅✳➇✮✏✲✴❾❨✸✻óü
➏✥✸✻✶✹➂✙✮✙↔♣✶✹➂✙✰✷❺❫❽➫✬◗✮✯✳✴❿❥✳❛✲✴✬◗✸➘➆✻↔♣✸❥❺❝❺❫➉⑦✳✴✮✷➏✹✬✟✲✴✬✟✰✷➍◗❼✻❾➈✲✴✮✯❺✹✰❱✶❪✸✠❺❝✶⑦✲❖➍✩➂✍➉➘❺❝❿✻➳➪✸❥✬◗❿✻✸➉ ✬

✰✯➚✏✬✟✬◗➂✍➀❅✰✯✬◗✶✹✰✯✮✯✮✯✬✥❿✻✬✟↔✜✳➇✬❇➆❥❾✯❾✟➍❱❿♠➟❪❿✻✶❝✬➁➊✏➂✙✲➇✮♣❺❅❾€❺❫➊✰✯✮✯✬❇✬✟➍☛✰✓✶❅➏✹✮✷✸✻❿✻✲✴✬➎ú◗✬❇➂€➉✥❺❝❺✹✰✜❾✍✲➇✸♠❺✹✸➎✮✯❿✻✶❅✬➒➆⑦✮✷❿✻❾➈✮✷✶✹❺✹➅❷✸❥✬➫➉⑦✲✴✶✹✸✻➊☎➏✪❺✹✮❱➍❱❺❝❿✻✳✴✲✴✬◗✬◗✸❈➀❪✮☎✲✴✸✻❺❝➏✗✸➄➉▲➏❅➟✻✰✯✬❇❺❫❺❫➊ ✮✷✮✯✬◗✬✟✰€✰✜✮✯➍◗❿❥✳✴❺✹✬❣✰✯➂€✲➇✮❁❻✻❺❝✰❇➸❍➟→
✮✯✬✩✫❨➂❦✰✯✬€✶✹❾➈➊➢❿➄✬✟❾✷❺❝❾➈✰✷✶❅✬✟✰❦➉✓❺❫❺➁✮✐➍☛➣☎✶❅↔❏Þ❪➊➢↔↕✶✹✰❱✶❅➉▲✸✜→⑦✱✏❺❝✮➈✬✩✮✯✲➇❺✹✮✯➆➄✸❥➉⑦➉➫✬✙➔❦✮✯❿❥✶❣❺✹➅➄➉➎✶❅✳➇❼❷✲➇✮✯✬✟✲❖➍☛➍◗✶❅❾✟↔❏➟❝➍☛✬❣✰✷✲✴➀❅➍❱✬◗❽❅✰✷✬☛❻ ✮
➊➢❿✻❺❝✰✯✸❥✬➁✲✴✬◗➉↕➂✙✸❥❼❷➉✻❺❅✬◗✳➇❾✙❻✪✬◗❺✹✰❇❺❝➅✻➟✹✮✭➅❷❺✹➌✙↔↕✶✹✲✴✳✴✶❅✸❅✬☛✸✻✮❱✮✷➍❱✬✟➏➁❿✻➉➎✶❝✳➇✬✟➐➑✮✷❻✓❿✻❺✉✬◗✫✚❻❪✰✚❺❝✫✸ ✲✴✰✷✸❈➄✪ ❽✐✮✯✬☛✬◗ó❮
↔↕✲➇✸❪➀❪✬♣✲✵✮❱❺✹❺❫✳✴❾✯✮✷✶✥✲➇✶❅✸➶✮✷✶➎✬✟✰✷✸❅✬☛✮✷✮✷✲➇➆✻✰✷✬◗✰✯✳✴✸➘❻✠✮✯✶✹✶✗✸➶➣☎✮✯❿❥Þ❪➊➢✬↕✶✹✰❱❼➄✰✷➉✠❺✹✬✟❾➈❾✯✮✯✮✷✲✴✶➒❾❣❾➋ó✶❝❼❷➊✙✬✟➍☛↔✪❺❝✶❅✸❥❻➘↔❏➉❩✬✜❺❝➟❝Ð❷❺❫❿✻➊ ✬❇✮✯✲❖➍❍❾➁✬✟✮✷✰➯✲➇➉⑦✶❅❿✻✶⑦✸✗✲❖➍❍❾✚✮✷➊➢✶✹✰✷✶✹✬☛✰❱✰✩✮✯❺❝➆❥❿❥✳✚✰✯✲➇❾❁✸↕↔ ✮✷➆❥✮✯➉⑦✶✜❺✹✸❥✬✟➣☎✸❅➉➶✮❇Þ❪→❛↔✪➊➢✶❅➔✐❻✠✰✷❺✹➉▲✮✷➍✟➟❫✰✯➍☛❿❥➆❥✬✟✬✍❾➈➅⑦✮✩✲➇✮✯✸❪✬❇✲➇➀❪✸➑➉✗✲✵✮✷❿✻❿✻✬✟✲❖✲❖➉ ❾❾
✲➇✸❈✮✯✬✟✳➇✳✴✬✟➍☛✮✯➆❥❺✹✳⑦❰❁➆❥➉⑦➏❅↔❏✬◗✸❈✮✟❇→ ❆
✶✹➍☛✶✹✸✠✳✴✳❖↔✪➛€❺❝➅❥❻➒❿❈❾✯➆➄✬✟✳✴❾➋✲✵➉➶➊➢✬❅✱☎❺❝→➄✬◗✸❥➔✍✸✻➉➑✰✷❿❥❻➁❺✉➉⑦➀❅✬☛✲✴✬✟Þ⑦✬✩➉▲✬◗✸✻➟❙✰✯✬◗✮✯❾✯✬❇➀❅➆❥➉✓✬◗➉✻✰✐❺✏➉✻✰✯✬◗➅✻✬✟✸✻✰✷➏✹✳✴✶❝✰✷❻➘➊➢✬☛✶❅✮➈❺❝➆✻✮✷✸➄✬✟✸❥➉➘➉➎➉✩✮✯➆✻✲✴❿➄✫✸ ✸❥❺❫❥✪ ✬☛✮✐➆❥Þ⑦✬◗➅➄✲✴✫✸✸❥✬❇✪❥➍◗➍❍✬❦✮✷➆❥✬✟✬◗✶❅➉⑦✸❥✸✓✳✴➍◗❻✹↔✪✬✹➟❩→❷❻✩✶❅ị✚✸➑➍❱✬◗❿✻✰✷❺✎✶❅❻➎✲✴❾➈➍◗➆✻✮✯✬➯✰✷✸✻✬◗✶❝➊➢✬◗✶✹➊➄✮➁✰✯➍✟✮✯❺❝✲✴➆✻✸➓✰✷✸❥✬◗✫➯✬✟❺❝✰➋✮✯✰✷✬✟✲➇❺❝✸❥✳➇✸➄❻❅➍◗➟➄➉✩✬☛✮✷✱✏❿✻✶✹✬✟✬◗✸➑✸✻✸➄✰✷➍☛✲➇✸❻ ✬
↔❏➬✟✕➮ ❺❝❈✽✮✯❉♠❿✻✬✟❺❫↔♣✮✎❺❫✮✷✮✯❿✻✲❖➍◗✬➑❾✍❺✹❺✹➏✹✸❥✬➑➉✎✶❝❺❝➊↕✳✴✳▲❐❅❿✻❐⑦✲❖❾✍➟€↔♣❺❫✮✎❺❝✸❪✮✯❿❥❻♣✬➶➊➢✰✷❿✻✲➇✬✟✬✟✸❥✲➇➏❅➉✻❿❈❾✟✮➒→ ✶✹➊✜❿✻✲❖❾➒➅➄✶❫➂✙✬◗✰❱❾♣ó
ịữúử
ị

ề
ỉíĩ ỉ ❑✡✠✍ Ý❦❋✥❑❁❋✷❭❈❴❃✽❃❋❍●❥✑❢ ☞➵✼€▼❇❇❂ ▼ ✿
● Û➁❑❁❋❱❲❍❚◗❴❃❴✍❚✟✾❊♥❝✽❃❂❈❄✗❉❈✽❃❍
❧✭Ú⑦❋❱▼◗❲❱❑❊▼✟❑❊Ø❫❯✩❢✭❋€■❛❉❈❋✯✽❃✿❁✾➯❋✷❑❍✾❀✿❁Ü➋❆❪❡➋●✹▼❇❋❱❇❆ ❂❫▼✿❍❴✵Ü❴❨❴❃✵▼ ✴✉❋♣✽❬❄✿ ✠ ✍ ✯ ❂➶✿❁❉❈❋↕✾❀✿❊❑❁❋❱❂❈❄◗✿❁❉➓▼✟◆€✿❁❉❈❚◗✿✜❚✟✾❊✾❊❆✹❑➈❚✟❂❅❲❱❋❇❢✭Û❣●❅❋❱❲✷✽➇●✹❋❍●➶✿❁▼

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✇ ■❛❋✯✿❁❋✷❑❨Ý✙✽❃❴❬✿❁▼❇❂
✻❿➂✍✲✴❿✻❾✐✬◗➊➢✸✎✰✷✲➇✬✟❾➈❿❥✸❥✬❣➉✻❾✯➂€❿✻❺✹✲✴➅✎❾€❺↕ó ➐➑❺❝✰✯✸❥✬✟➉✎❖✸ ✮✷◆☎❿❥ó ❺❫✮➁✶❝❺↕➊❦➀✹❿✻✬✟✲✴✰✯❾✐❻♣✰✷❾✯✬◗✬◗↔♣✸✻✲✴❺❝✶✹✰✷✰€❽❫❺❝➐➑❼✻✰✯✳✴✬✓✬✟✸✥➂✍ó✝
✲➇➊➢✬♣➂✙➣❣✶✹➉⑦✰✷✬◗❽❪✮➈✲➇✮✷✸✻✬✹➏↕➟❛✲✴➂✍✸➫❿✻✮✷✶✹❿✻↔✒✬✩➚✏❿✻✬↕✬◗➂✍↔♣↔♣❺❝❺✹✰✷✸✻✰✯✲✴✰✯✬✟❻❅➉ →
â❩✶✹✸❥➏↕↔♣❺✉❻♣✮✷❿✻✬◗❻➫❼➄✶✹✮✯❖❿ ❥✪ ✶✹➆❥✰✯✲❖❾➈❿❙➹
€ ä➑å✏ỉ ä↕ỉ❩é✚❶❥å✐❸➈✰④ ì
✤ ⑧❘◗❖✛ é✌⑤⑦å☎✧ỉ ❙ìé✌⑤⑦❸✯❶❚✦
➔↕✳➇✬✟❻✎✳✴✬✟❺✹✫✚✰✯❺✹✸❈✰✯✮♣❽❛→➄↔♣➔✍❺❝❿❥✸❪❺✉❻➩➀✹✬↕✳✴✬✟❾✷❺❝❾✯✳✴✰✯✶✹✬❇✸❥❺✹❾❏➉⑦❻➒➊➢✰✷✶✹❿✻↔ ✲✴✸❅✮✷↔✪✬✟➉✗❻➷❺❝✬☛✮➁Þ✻❾✯➍☛✶✹✲➇✮✯↔❏✲✴✸✻✬❅➏➭➥❥✮✷✮✷❿❈❿✻➆➄✰✯✬✟❾◗✬✗➟➄➊➢✶✹❺❝✸❥✰❣➉Ï✬☛Þ✻❺➓❺❝↔❏❿❥➅✻❺✹✳✵✳✴➊✩✬✹➟❷❻❅➔✏✬✟❺❝✳✴✬✟✰❱❺✹❾♣✰✯❺❫✸✻✮➫✬❇➉✎➌✙✶❝✳✴✬☛➊➯✮❱✮✷➍❱❿✻❿⑦✬ ➜
➊➢➍☛✰✯✶✹✲✴✸➄✬◗✸❥➍☛✳✴➉✻➆❥✳➇❾➈✲✴✸✻✲✴➀✹✬✟✬✟❾✷✳➇❾♣❻➶❺❝➍☛✸➄✶✹➉➩✸✻➾❥✳❖✰✯❺✹↔ ➍❱❽➭❺❫✶✹➊ ➊❣✮✷✬◗➍☛✰✜✶❅✕❐✸❥❉➎➍☛✬✟❻❅✲✵✮♣✬✟❺✹✶✹✰✷➊✐❾➁➏✹❺❝✶❪↔❏✶⑦✶❅➉➷✸✻↔❏➏✗❺❝❺✹✮✯➍✟❿✻❺✹✬✟➉⑦↔♣✬✟↔↕❺❫✮✯✲❖✲❖➍↕➍☛✲❖↔♣❺❝✸➄❺❫❾◗✮✯➟➯❿❥✬◗❺➘↔♣➊➪❺✹❺❫✮✷➍☛✲✴✮✥➍◗✲✴➔✜❺✹✸❥➍◗❾◗❺✹→➋✸➷✱✏✸❥✶❫✶❫➂€➂ ➜
✬◗✰✯✬✟➀✹➏❅✬✟❺❝✰✟➟❅✰❱➉✥✮✯❿❥❺❅✬◗❾❦✰✷✬☎➍◗✰✯✲❖➆❥❾❨➍◗✶❅✲✴✸✻❺✹✬☎✳➇✳✴❻♣✳✴✬✟✲✴❾✷↔↕❾➈✶❅➅❷✸✥✶✹✰✯➔➯✮✷✳✴❺✹✬✟✸❈❺✹✮✟✰✯→❪✸❈➔❀✮✟✮✏➟❈❺❝➉⑦❼❷✶❪✶✹✬✟➆⑦❾✟➟❈✮✙❿❥✮✯✶❫❿❥➂❦✬☎✬✟✮✷➀✹✬✟✬◗❺✹✰❇➍❱➟✹❿❥✬✟✲➇↔✪✸✻➏✜❼❷✶❝✶⑦➊❩➉⑦❻➫↔♣❺❫❺✜✮✷➀✹❿✻✬◗✬◗✰✷↔♣❻♣❺❝➍☛✮✯✶❅✲❖➍◗✸❅❾✟✮✷➟❅✰✯✶❫➂✍➀❅❿✻✬◗✲❖✰❱➍❱❾➈❿➫✲❖❺❝➔ ✳
➅✻✰✯✲✴✸❥➍◗✲➇➅✻✳✴✬✹→
➐➶✬➁➂✙✬◗✰✷✬✹➟❈➾❥✰❱❾❁✮✍✲✴✸✎✱☎➆⑦✰✮ ✒❏❺❝✸❥➉➫✮✯❿✻✬✟✸✎➂✍❿✻✲➇✳✴✬➁➂❦✶❅✰✯❽❪✲✴✸✻➏✪✶❅✸➒➧✌✲❖❾➈❿❙➟❥❺✪➏❅✰✯✶❅➆✻➅➫✶✹➊✌❾✯✶✹↔❏✬
✕❒ ❉✎➅❷✬◗✶✹➅❥✳➇✬✗➳➵❺❫✮✪✶❅➆✻✰✩➅➄✬❇❺❝❽✻➸❍→➋➐➶✬♣➂✙✬◗✰✷✬✹➟➋❺❝✳✴↔↕✶❈❾❁✮✪❺✹✳➇✳①➟❩↔♣❺❫✮✷❿✻✬◗↔♣❺❝✮✯✲❖➍☛✲❖❺❝✸❥❾✩✶❅✰✩➂❦✶❅➆✻✳❖➉❪➜①❼❷✬

ó↔❏➍☛✲❖❺❝❺❝✸❥✮✯➍☛❿✻✶✹❾✟➟❨➆❥✬✟↔♣✳✴✲✴➉➎✸➴❺❫❼➄✮✯✮✯✲❖✬✩❿❥➍☛✲❖✬➶➉⑦❺❝✬❇✸➄❾✯❾✯✬◗❾◗➍◗✸❥→❈✰✯➌❦❾✯✲✴❼❷✬✠➆✻✬✟✮❦✮✯➉➫❿➄✸✻❺❅❺❫✶❅✮➫❾€✸✻❺❝✬☎✶❅➅✻➆✻✶✹➅✻✰➫➊❩✳✴✲✴➆❥↔♣✬✟❾✭➉➎❺❝ó ✲✴↔❏✸➴❺❝➂✍✲✴✮✯✸❅✲✵❿✻✮✷✮✷✬✟❿✥✬◗↔♣✰✷✮✷✬✟❺❫❿✻❾➈✮✯✮➎✬☎✲❖➍☛➅❷❺❝✲❖❺❝✸➄✶❅✸➄❾✷➉➴❾➈❾◗✲✴→⑦✳➇❼✻✶❫➐➑✳✴➀❅✬✏✬✠✬➁✬☛Þ✻➂❦✶❝➍◗➊✩✬✟✬◗✰✯➅⑦✰✷✬❣✬✟✮✷❾✯✲➇➅✻✶❅✬✟➆✻❺❝✸✥✰✷✰❱✬✐✶❝➍❱❿❩➊❩↔♣➟❨➲❈❺❝❺✹❺❅✮✯➍❱➍❍❿✻❽♣✮✷✬✟➆❥➺❣↔❏❺❝✳✐✶❈❺❝✶⑦✮✯✶✹✲➇➉ ✰➜
✲➇❺❝✸❈➅✻✮✯➅✻✬✟✳✴✸❥❻❪➉⑦✲➇✸❥✬❇➉▲➏✪➟❩↔♣✳❖❺✉❺❫❻✗✮✷❿✻✲➇✬◗✸➄↔♣❾➈✲❖➉⑦❺❫✮✷✬❏✲✴➍✟↔♣❾◗→❪❺❫➛➋✮✯❿❥✰✯➆✻✬◗↔♣✬❅➟❪❺❫➂❦✮✷✲✴✬✐➍✟❾✩➂❦✲✵✬✟✮❱✰✯❾➈✬✏✬✟✳✵✸❥➊❁❱→✶❝✮✍➯❯ ➉⑦✬☛✮✓✶✹✲✴➂✙✸✻➏✜✬↕➍◗➂✙✶✹✬◗✸❪✰✷➀✹✬♣✬✟✸❈❺❝✮✯✳✴✳➵✲✴➟❩✶✹✸❥❺❝❺✹✮✪✳➄➌✙❺❝✳➇➅❥✬◗➅✻✮✷➍❱✳➇✲✴❿✻✬✟✳✴➉✥✬◗❻➘↔❏✫✚❺❝✮✯❺✹❿✻✰✯❽❛✬◗➜ ➟
↔❏❾➈➆❥❺❝➍❱✮✯❿❙✲❖→✟➍◗➐➑❾✌óø✬❦➂✙✶✹✬◗✰❱✰✷➉⑦✬✹✲➇➟❇✸➄✶❝❺❝➊❷✰✷❻✪➍☛✶✹❺❝➆❥✸❥✰✷➉↕❾✯✬✹➅❥➟✟❺✹➆❥✰➈❾➈✮✷✲✴✲✴✸✻❺✹➏❏✳❥➉⑦➳➪❺✹✲➇Ð❷✸❥✬✟➉✓✰✯➉⑦✬✟✸❈✬✟✮✯➀✹✲❖✬◗❺❝✳✴✳✻✶✹✬❇➅❥➤❅✲➇✸✻➆➄➏❪❺❫➸❩✮✯✲✴❾✯✶✹✶✹✸➄↔❏❾◗➟✉✬❦✮✷❾➈❿✻✮✷✬◗❺❝✶❅✮✯✰✯✲❖❾❁✬◗✮✷✮✯✲✴✲❖➍✟➍◗❺❝❺❝✳❈✳⑦↔❏➅❥❿❈✬☛❻⑦✮✯❿❥❾✯✲✴✶❪➍✟➉❥❾◗❾➋➟❅❺❝❼❥✸❥➆⑦➉ ✮
✮✯❼✻❿✻✰✷✬✟❺✹✲➇✸❥✰✭➍❱✮✷❿➫❿✻✬◗✶✹✶❅➊✌✰✯↔♣✬◗✮✯❺❝✲❖➍◗✮✯❿✻❺❝✳⑦✬✟↔❏❼➄❺✹❺❝❾✯✮✯✲✴✲❖❾✭➍◗➂€❾€❺✹➂✍❾✌❿✻✸✻✲❖➍❱✬✟❿➒✲✵✮✷❿✻➂❦✬◗✬✩✰✚➍☛✸✻✶❅✬✟➆✻➂➷✳❖➉➫✸❥❼❷✶✹✰✌✬✓✮✯❾✯✬✟❺✹✰✯✲✴✰✷➉✥✲➇❼❥✮✯✳➇✶❏❻✓❼❷➅❥✬✩✰✯✶✹➆❥➊➢✶✹❾➈✲✴➆✻✸✻✸❥➏♣➉❩❾✯→❫❻❪➔❀➊➄❾➈✮✯✮✷✬✟❿✻↔♣✬◗✰✷❺❫✬€✮✯✲❖➂✙➍◗❺✹❺❅✳➇❾➋✳✴❻✹✶❅➟❪✸✻✲➇✬✮
➂✙❾✯❺✉❺❅❻➒❾✓✮✯↔♣❿➄❺❫❺❫✮✩✮✷❿✻➂❦✬◗✬↕↔♣➂✙❺❫✮✷✬◗✲✴✰✷➍✟✬✜❺❝✳❦➆❥✳➇❾✯✶❅✲✴✸✻➏✹➏➒✲❖➍❝→➋❺➎➌✙↔♣➆⑦❺❫✮❏✮✷❿✻❺✠✬◗❼❷↔♣✬☛❺❫✮➈✮✷✮✷✲✴✬◗➍✟✰❏❺❝✳✭➉⑦✬✟➂€❾✷❺✉➍☛❻➒✰✷✲✴➅⑦✶✹✮✯➊➯✲✴✶✹✮✯✸♠❿❥✲➇✸✻✶✹❽❪➊✍✲✴✶✹✸✻➆✻➏✎✰✜✲➇✸➑➂❦✶❅✶✹✰✯➆❥❽➑✰❣➂❦❺✹➅✻✶❅➅✻➆✻✰✷✳❖➉➓✶❅❺✹❼➄➍❱❿✗✬➫✮✯✮✯✶✶
✮✯❼✻❿✻➆⑦✬✥✮➁➅❥➂❦✰✯✬✜✶❅❼✻➂❦✳➇✶❅✬✟↔➆✻✳✴➉✎❺❫✮✓❿➄❺✉❿➄➀✹❺❝✬✓✸❥❼❷➉➘✬◗ó ✬✟✸➘✮✷➆❥❿✻❾✯✬✥✬◗✳✴✬✟↔♣❾✷❾✏❺❫✮✷✲➇❿✻➊❨✬◗➂✙↔♣✬✪❺❫❿❥✮✷✲✴❺❅➍✟➉✠❾✩✸✻✲➇✮✷✶❝❾✯✮➁✬◗✳➇➊✙❺✹➍✟➂€➤❅❺✹➆❥❾➁✲➇✰✷✸✻✬✟➉➒✶✹✮✓✮✷❿✻➀✹✲✴✬✟❾➁✰✯❻➘❺✹❼✻❾✯✲➇✶✹✳✴✲➇➅❥✮❁❿✻❻➫✲✴❾➈✮✷✮✯✶✥✲❖➍◗✮✯❺❝❿❥✮✯✲➇✬❇✸✻➉▲❽ ➟
❼➾❥➄➍☛✳✴✬◗✬✟✬✟✰❱✬◗❺❝➍☛✸➘✰✷✬✩✳✴❻✗➆➄➉⑦❾➈✬❇✲➇✬✟✸➭❾➈✳➇✲✴✬❇✰✯↔♣❾✯✬❣❾☎❺❝✮✷✲✵✮✯✶❏➊❨❿✻➂✙❾✯✬✟✶✹↔❏✬✪✳✴➀✹❺❝❿➄✬❣✮✯❺✹✲❖✮✷➉✠➍◗❿✻❺✹✬✩✸✻✳✚✶✹✮✯➅✻✮✐✬✟✰✷✰✯✶✹❼❷↔♣❼✻✬◗✳✴✬✟❾✟✬◗✸➶→❩↔♣➔❀❾➈✮✓❾✙✮✯✰✷✮✯✲✴❾✪✶✹❿❥✸✻✬✩❺❝➏❅✳❖✬◗❾➈✳➇✸✻❻➒✶✠✬✟↔❏➂✙↔✪✶✹✶❝❻✥✰✯✮✯✮✯✲✴➂€➀❫❿➓❺✹❺❫✮✷❾✍❺✹✬✟➉✻➍◗➉▲➉✻✶✹➟❷✲➇✸⑦✸✻✮✯➊➢❿➄➏✎✰✷✶✹❺❫✮✷✸❈✮✐❿❥✮✯✲❖❺❫✲✴❾✟✸✻✮✓➟❷➏↕➍◗➂✙✶✹➆❥✬♣✸❥❾€❾✯➂✙➂✍➆✻✶✹✲➇↔❏✮✯➆✻❿❩✬✟✳❖➉➑→➉✠❿❥❼❪❺✉❻✠➀✹❺✬
❺➊➢❫✬✟✮✩❺❫✮✷✮✯➐➴➆✻❿❥✰✷✬♣❿❥✬✟❾▲➆✻❺❫✮✥✸✻✶✹➊⑦✲✴❿❥➀✹❺✏✬◗❺❅✰❱➏✹❾✥❾✯✶❪✲✵❺❝✶⑦✮❁❻✗✳✴➉✐✳€↔♣✳✴✮✯✬◗❿❥➀❅❺❝✲✴✬◗❾✥✮✯✳❿✻á✥✮✯✬✟✶♠↔❏➛➋✶✠➉⑦❺❝✮✯✶➭↔❏✲❖➍◗➂✍❾▲✬❏✲➇✬❇✮✯✮✯➉⑦❿✻❿➼➆❥✬♣➍✟✮✯❺❫✶❅❿❥✮✯❼❈✬✠✲✴➀❪✶✹✮✯✲✴✸❙✶✹✬❇➟✟❺✹➆❥➉⑦➍❱❾➁❿✻✬❇✲✴❾➈✲✴↔❏✸✻✲✴➏✹➏➓➅✻✸✻✳✴✬❇✶❝✲✴➉✐➍✟➊➁❺❫✮✯✮✯↔♣✶✏✲✴✶✹❺❫✬✟✸➓✮✯✸❥❿❥❺❝✲❖✬◗❾➁❼✻↔♣✳✴✮✯✬✚❺❫❿➄✮✷✮✷❺❫❿✻✲✴✮✩➍✟✬❨❾◗✮✯❾➈➟➯❿❥✮✯✳✴➆❥✬✥✬☛➉⑦✮➎✬✟✬✟❾✷➆❥✸❈❾➈✮➋❾✥✬✟✸❈❾➈❾✷➆❥✮✯❺✉✲❖❼⑦❺❝❻✹➜ ✳➟
✮✯❾➈❺✹❿❥✬❇➍◗➤❅❺❝➤❈➆❥✮➯➆✻✬◗✲✴✲✵✰✷✮❨✸❈✬✹✮✯✲✴➟❥✳✴✸❥❻✥✲✴➍◗✸➶➆✻✮✷✶♣✳✴➨❪➍✟➅❷❺❫➆❥✮✷✬◗❾➈✬€✲❖✬➁❾✯✮✯✬◗↔♣❿✻✰❇ơ✬✏❺❫❾✐✮✷❺✹➅✻❿✻❼✻❿✻✬◗✲➇↔♣✰❱✳✴✲➇❺✹✮❁❺❝❾✯❻✓✮✯✬✹✲❖✮✯➟➄➍◗✶➁❾✍↔❏✮✷✬◗❺❝❿✻Ð❷✮✯✲✴❿✻✬❇✸✻➍❍✬✟❽✪✮✯↔♣✲✴↔♣➀✹❺❫✬✟❺❫✮✯✳➇✮✷✲❖❻➎❾✷❿✻➍❱✲➇✬◗❿✻✸✎↔♣✬✾❿✻❺❝✬✐✲❖✮✯❾✍✲❖✬◗➍◗✸✻✶❅❺❝✰✏❽❪✳✴✳✴➂✙❻✹❿✻➟❫✬◗✬◗✮✷✲❖✰✏❾➈❿❥✬❅➍❱❺❫❿❥➥➄✮➯✶❅❺✹✲❖❾✯✸❥❾◗✬◗➉✎➟❝✸➒✮✯✮✯❿❥✶❪❿➄❺❝➍✟❺❫✮✚➍☛✮➁➆✻✮✯❿✻➅➄✲✵✮❣✬☎❺❫❼✻✮✯❾➈✲✴✮✯➆✻✶✹➆➄✲✴✸✠✳✴➉⑦➉➘✬◗❺✹✸❈✲➇✰✯✸ ✬✮
✮✯✶✹❿✻✰✷✲➇✬❣➏❅✲➇❾❁✸❥✮✷➆❥❺❝✮✯➉⑦✬✓✬◗✸❈✶❅✮€➆⑦❺✪✮✷❾✯✲❖❾➈➉⑦✮✯✰✷✬✪✶✹↔♣✸✻➏✪❺❫✮✷❺✹❿✻➅✻✬◗➅❷↔♣✬☛✮✯❺❝✲➇✮✯✮✯✲❖✬☎➍◗❾✟➊➢✶✹→✭✰❦➳❀➣☎➆❥❾➈➊❨✲✴✸✻➍☛✶❅➏✜➆✻↔❏✰✷❾✯❺❝✬✹✮✯➟➄❿✻✮✯✬✟❿❥↔♣✲✴❾✐❺❫✮✯↔✪✲❖➍◗➆❥❾➯❾➈✮❣✮✯✶↕✮✯❿✻❾➈✶❅✬✟✳➇✸➘➀❅✬✏❼❷✬↕➅✻✰✷❾✯✶✹➆✻❼✻➅✻✳✴✬◗➅✻↔♣✳✴✬◗❾➯↔❏➂✍✬✟✸❅❿❥✮✷✲✴✬✟➍❱❿➉
❼❈❿✻❻↕✲✴❾✏❺✩✶✹✰✏✰✷✬✟❿✻❺❝✬✟✳⑦✰☎✲✴✸❈➍❱✮✯❿✻✬✟✶❈✰✯❾➈✬❇✬✟❾❁✸➎✮❨✲✴➅✻✸❏✰✷✮✯✶❝❿❥➊➢✬❇✬✏❾✯❾✯➅✻✲✴✰✷✶✹✶✹✸❩❼✻→❬✳✴➸❦✬◗➐➴↔ì❿❥❺❝❺❫✰✷✬✟✮✐❺❣➉✻➂✍✶♣✲✵✸✻✮✷❿♣✶❝✮☎➂✍❾✯❿✻✬◗✲❖✬✟➍❱↔ ❿❏✮✯✮✯❿✻✶♣✬☎❼❷❾➈✬✓✮✯➆➄✬❇➉⑦❾✯✬◗❾✯✬◗✸❈✸❈✮❨✮✯✲❖✲❖❾❨❺❝✳❩➍◗✶✹➍◗✸⑦✶✹➊➢↔❏✰✷✶✹➅❷✸❈✶✹✮✯✸✻✬❇✬✟➉↕✸❅✲➇✮❱✸ ❾
✶❝❺❝➊❨✸❪❻➩❺♣➏❅❾✯➅➄✶❈✬❇✶⑦➍☛➉✎✲❖❺❝↔♣✳✏❺❫❺❫✮✷✮✯❿✻✮✯✬✟✬◗✸❅↔♣✮✷✲➇❺❝✶❅✮✯✸➩✲❖➍◗❾✐✮✷✶➑✬✟➉⑦✮✯➆❥❿✻➍✟✬✗❺❫✮✷❺✹✲➇✰✯✶❅✬❇✸✎❺✹❾✜➊➢✶✹✶❝✰✐➊✐✮✯↔♣❿✻✬✪❺❝✮✯➊➢➆⑦❿✻✮✯✬✟➆✻↔❏✰✷❺❝✬✪✮✯➆➄✲❖➍◗❾➈❾♣✬✟✰☎➆➄✶❝❾➈➆❥➊➯❺✹↔♣✳➇✳✴❺❝❻♠✮✯❿✻❺✹✬✟❾✷↔❏❾✯✶❪❺❝➍◗✮✯✲✴❺❝✲❖➍◗✮✯❾✐✬❇➉♠❺❝✰✷➂✍✬➫✲➇➳➢✮✯✲ ❿ ➸
❲ ■✎▼✟❯✩❋❱❳❂ ▼ ✾✚×❨▼❍Ø❝❚✟❴✻❞€❄❚ ✴✟❚✟❴❷❵✹❋✷✚❑ ✴❝✽❃❲❱❋❇Ü

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ụ ✬❾➊
✮✯❻✹❾➈✬✟✶❅✶✹❺❅↔↕➆➒➍❱✬➎❿♣✲❖❾✙❻✹✶❝✮✯✮✷✶❅❿✻❿✻➆↕✬✩✬◗➂✍✰❏✸✻❿➄✬❇➉⑦➍☛❺❫✲❖✬❇❾✯✮❨❾✯➍◗➂✙❾✷✲➇➅✻❺❝✬✍✰✷✳✴✲✴❻♣➂✙✸✻✬✹❺✹↔♣→✚✸❈❺❫✮❨➙☎✮✯❻✹❿❥❾❏✶❅✬◗❺✹➆✜↔♣✸❈✮✷❺❫❻➓✶✓✮✷✲✴✬✟❽❪➍✟✸✻❺❝✸✻✳➇✳▲✶❫✲✴➏✹➂Ï❽❪❿❈✸✻✮✷❺❝✶❫✬◗❼❷➂€✸✻✶✹➜❀✬❇➆⑦❿✻➉♠✮❨✶❫➂✩✬◗✶❅↔❏➆✻→ ➽ ✰➯➅✻➂✙✳✴✶❫✶✹❻✹✰✷✬✟❽❛✰✪→❝➂✍➐➴✲✴✳➇❿❥✳✙❺❫✮✷✮❦✬◗✳✴➂❦✳✙✬☎❻❅✶✹➍✟❺❝➆❩✸✻➟❣✸❥➻➈✶❝➐➑✮✚✬➎✮✯✬❇➍✟❺✹❺❝➍❱❿✸
➑ä å✏ỉ❭✪❬ ❸❪◗❱ỉ➃é✚④☎❴⑨ ❫✣ỉ❩é✌⑤⑦å✒✳⑧ ◗❵✘➴í❁é✚④✒ä❏⑩✏⑥❥❸✯④✰✤
➔✥➛❙➆✻❿❥✰✷❺✉✲✴✸✻➀✹✬➶➏❥➟⑦❺❝➂✍✳✴✰✯❿✻✬❇✶❅❺✹↔ ➉⑦❻❅➔❨➟❦❿➄✲✴✸✣❺✉➀✹✮✷✬✩❿✻✲✴➉⑦❾✎✬✟❾✷❺✹➍☛✰➈✰✷✮✷✲✴✲✴❼➄➍◗✬❇✳➇✬❅➉➎➟❨❺❅✮✷❾✙✬✟❾➈❺✹✮✯✸➒✲➇➾❥❺✹✬✟➆⑦➉✣✮✯❿❥✮✯✶➩✬◗✸❈↔✜✮✯✲❖➍➁❻➴➏✹✬◗✬✟✸✻✸✻✶❅✲➇➆➄✰✯↔❏❾◗➥✻✶❅❺✹➆❥✸❥❾✥➉✥✰✷✮✷✬✟✶❏❾✯➅➄↔✪✬❇❻✥➍❍✮➒✲✴✸❥➊➢✶✹➍☛✰✎✰✷✬✟➉✻➙✏✲➇✳❖❼✻❺❝✳✴✸ ✬
➏✹✲➇✸➓✶❪✶⑦✶✹➉✩➆❥✰❣➊➢✶✹✲✴✰✯✸❈✮✯✮✯➆❥✬✟✸✻✳➇✳✴✬❦✬✟➍☛✲✴✸↕✮✯➆❥❼➄❺✹✬✟✳➯✲➇✸✻➍◗❺❝➏➁➅➄❺❝❺✹❼❥➍☛✳➇✲➇✬❦✮✯✲✴✮✯✬✟✶✩❾✟→❩➍☛✳❖✱✏❺❝✲✴✲❖↔❾✩➍☛❿✻✶❅✲✴✸❈↔ ✮✯✰✷❺✹✲➇❼✻❾✭➆✻❺☎✮✯✲✴➊➢✶✹✰✯✸➶✲✴✬◗✸➄✮✯➉▲✶➒➟❫✮✯➉⑦❿✻✬✟✬♣❾✯➅✻➂✙✲➇✮✯✶✹✬✙✰✷❽✎✮✯❿✻✶❝✬€➊✙➀❫✮✯❺✹❿✻❾➈✬♣✮✚➉⑦➌✙✲✵✳✴Ð❛✬☛✬◗✮✷✰✷➍❱✬◗❿❥✸➄✳➇✬✟➍☛❻
ị
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ịụ ụ

ị
ị
ữịéú ❉❥✸❥ơ❾➈❾❣✬✐❿✻❺➫ó✶✹↔❏➀❪✲✴✶❈❺✹➏✹✸❥❾➈✶❅✬◗➉➫✰✯Þ❪✶❅➆➄✲✴➆❥✸➑❺❝❾✐✳❩➬✟➍✟❺✹➮❅❺❝➍☛❐❅↔❏✮✷✃⑦❾✏➅❥➟❈➍✟✲➇❺✹✸✎❺❝✲➇➏❅✰✷➍☛✰✯✸➘✲✴✲✴✰❱✬✟➂€➍☛➉➎➆✻❺✹✶✹↔♣❾➁➆✻❾➈↔❏✮✏✮✷❺❝✲➇✶✹✸✎✸➄➆✻➍☛✸❈➅✻✬✟✮✷✰✷❾✙✬✟✲➇➀❫➉➶➂✙❺❝✬◗✮✯✲➇✳✴✸ ✬ ✳
❼✻↔❏➉⑦✬✟✰✯❺✹✶❅❾✷➏✹➍☛➆✻✰✷✲❖➏✹❾❁✲➇✮✷❼❷❿❈✰✷✮❏✬✟❺❝➉❏✮✯❼➄✬✏❼❪✬◗➊➢❻❏✰✷✶✹✬✟✰✷➙✏➍◗✬✠✶✹✸❥➏❅❺➘➉✻✸✻✰✯✲➇↔♣✬✟ú✟➂✣✬✟❺❝➉↕➏❅✱✏✲✴✮✷❾➈❿❥✶⑦✮✯❺❫➉⑦✰❱✮✍❺❫➏✹✮✷✬❇➙✏✬➎❾➯✳❖✲✴❺❝✶❅✸♣✸✥✸➷❿✻➂€❺➓✲❖❾❨❺✹➍❱❾✙❼✻❿❥✲✴❺✓✶✹❺✹➏❅✰✯➀❅➏❅✰✷✬◗❺✹✬➫✰✷➅✻❻↕✶❝❿❪➊➁❾✯❻✹➅❷➟❝➍☛✬✟✶❅➙☎➍☛↔↕✲❖✳✴❺❝❺✹↔❏✳❷✸➫➅❷✲➇➛❙✮➈✬◗✮✷➆❥✰❱✲➇❾➈✸✻✰✯✶❅✲✴➏➑✸✻✸❏➏✓✮✷ó ❿✻➂€✲✴❾➓❺✹❺✜❾➯➻✷➧✻❺✹➍☛✬✟✰✯✰✷✳➇✰✷✲➇✳✴↔❏✬✟✶❫❾➈➂➴✬❇✮✯➽✻✬❇✶❝➉❏→✚➊❩➛€❺❝✮✷✸❥❿✻❿✻➉ ✬✬
❞ ■➭❉❅✽✵❴❃❋ Ị ❆✹❑❁✽✵❂❅❄✽▼ ✾❣❲✷▼❇❂❫✿❊❑❁✽❃Ú❈❆❅✿❁✽❃▼✟❂✎❧✚❚✟✾✐❆❈❂❅✽ ✎ ❆❅❋❇❢❛▼✟❆❅❑☎❧✭▼✟❑❁♥➫❧✚❚◗✾❣❂❈▼❡☞➵▼❇❂❅❋✷✈➪❯✓❚✟❂✠✾❊❉❈▼❍❘❧ ✍✂❢
❲❱❴❃❋✷▼✟Ø✜❂❝✿❊■▲❑➈❚◗❚☛❑❁❑❊♥✜Ø✐✿❁●❈▼€❚❱Ø✹✿❁❉❅✾❱Ü❋✚✽❃❯✩❭❅❑❁❋❱✾❊✾❊✽❃▼❇❂✩❄✟❣✽ ✴✉❋❱❂➁✽❃❂❣✿❁❉❅❋❱✾❊❋✚✿①❧✭▼✏●❝❑➈❚✟❯✓❚☛✿❁✽✵❲✭❑❁❋✷❲❱▼❇❂❅✾❀✿❊❑❁❆❈❲✷✿❁✽❃▼❇❂❅✾✌▼◗◆❥❤✌❴❃❋✷✿❁❲✯❉✹✈
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❛■ ❋✯✿❁❋✷❑❨Ý✙✽❃❴❬✿❁▼❇❂
✁✍✶❫❻❅❺✹✳❈➨❪✶⑦➍☛✲✴✬☛✮❁❻❅✐➟ ✏✁ ✬✟❺✹➉✻✬◗✰❙✲✴✸✪❹✗❺❝✮✯❿✻✬✟↔♣❺❫✮✯✲❖➍◗❾✌❺❫✮✭❹✗❺❝✸➄➍❱❿✻✬✟❾➈✮✯✬✟✰➋÷✏✸❥✲➇➀❅✬◗✰❱❾➈✲➇✮❁❻✹➟✟❿✻✶✹✳❖➉⑦✬◗✰➋✶❝➊✻✮✷❿✻✬
✮✯✬☛➣✐❿✻Ð❛✰✷✬✓✬✟➉⑦➍❍➂€✬✟✮✷✰☎✲➇❺❝➀❅✶✹✰❦✬◗➊✌✳✴ó ❻✹✮✷➟✹❿✻❺➁❺❝✬❏✸❥➀❅➌❦➉➫✬◗✰❱✰✷✮✯➉⑦✲➇✮✯✰✷✲❖✲❖✲➇➍❍❾➈✬❇✮➯❿✗➉➎✶❝➞❨✮✯➊▲✶♣↔↕➏❅➆✻❼❷➅❥✲➇✬✪✲➇✳➇✰✷✮❁✬✩❺✹❻✪❾€➊➢❼❥✶✹✳✴➆⑦✬◗✰❏✮❨✸✻➳➢✲✴➂✍➆❥✬◗✸❈✸❥✲➇✮✯✮✐❾➈❿❏➅❷❺❅✸✻✬✟❾€➍◗✶✓➅➄✲✵➾➄➅❷✶❈✬✟✬◗❾✯➉❥✸❥❾✯➸☎✲✴❺✹❼✻✳✵❾➈✳➇✮❁✬✟✬❅❻✜✰✯→❥➀❪✲➇➙✏↔❏✲❖➍☛✳❖✬✟❺❝➅❷❾✏✸✎✶❅❾✯✮✯➂€✬✟✶➎➉▲❺✹❿✻➟✹❾❏✲✴✶✹❾✐➻✯✸♣❼➄➍☛➍☛✶❅✶❅✶❅➆✻➆✻✸❥✸❥✸❈➉⑦➉➒✮✯✲➇✰✷✮✯❻➒✶❫✲✴✶✹➀✹➉⑦✸❏✬✟➆❥✰✷✮✯➽✓✰✯❿➄✲✴✸✻ó ❺❫➏ ✮
❿✻↔↕✬➯✬✟➆✻✰✯✬✟✸❥✳➇➉✻❻➘✬◗✮✯✰✷✶✗➂❦✬✟✬✟✸❅✸✻✮❩✳❖❺❝❿❥✰✷✶✹➏✹✰✷✬❏↔↕❿✻✶❅✲❖✸✻❾✩✬✭❼✻✮✯✰✷✰✷✬✟✬✟❺✹❺❝❾➈✮✯✮✷↔❏❾✟→❙✬◗✸❈✱☎✮❩✬✥➂✍✳➇❿✻✶❈✶❈❾❁✮✓❾➈✬✚❿❥✬◗✲✴Ð❷❾✜✬❇❾➈➍❍✬❇✮❇➍☛➟◗➆✻❿✻✰✷✬➯✲✵✮❁✳❖❻➶❺❫✮✷➍☛✬◗✳✴✰❩✬✟❼❥❺❝✰❱✲✵✮✯❺❝✮✯✸➄✬◗➍☛✰✷✳✴✬✹❻✐➥❩✰✷❺✹✬◗✸❥↔♣➉➑❺❝✮✯✰✷❿❥❽✹✬➫✬❇➉▲÷✓➟❍➂€→✭❺✹➨❛❾ →
✬◗❿✻❺❝✸✻➆⑦✬✜➏❈✮✷➍◗❿✻❺❝✶✹✶✹➏✹↔❏✰✷✬❇✲✵➉➘↔❏✮✷✲➇✬❇✶❅✲✵✮✯❾▲✸✎✮✯✮✷✬✟✰✯❰❁➉✠✶✹✬❇❺❫✲✴❾✯✸❈✮✯➆✻✮✪✬❇✲❖➉➁➍☛➂❦✲❖❿✻➉⑦✶❅✲✴✬✪✰✯↔è❽➘✶❅❺❅✸✗➂✍❾❙✲✵➲✹✮✷❺€➆❥❿➩➊➢✸✻✬✟➲✹✹✬✳➇✶❅✶❅❥❪✸✪❿✻➟➋✸✻❺❝➬✟✸❪✸➄➮❈❻✗➉✩❐❫➱❥✰✯➀❅✬◗➟➄✶✹➊➢✸➭➉⑦➆❥➆✻❾✯➚✏✬✟✰✷➉❣✲➇✬✟✸✻➆✻✮✯➏✥✶☎↔♣✮✯➏✹❺❝❿✻✰❱✸✻✬✓❺❝✸➄✸❈➐➴➸☛✮❙→✌❿✻❿❥â❙✲✴✲✵↔✮❱✶✹❾➈✸✻➆✻❺✍✬✟✸❈✳➇➀❪❻➑✮✷✲✴✲✴➉⑦❾✷❺❝❺✓✬↕✸❥➳➢➉➭➂✙❿❥✬◗✬❨➉✻✬◗✬◗❿❥❽❅➅✻❺❅✬◗✰✷➉➁✸❥✬✟➉❩❾✷❼➄❾➈➟✻✬✟✬❇❼❪✬◗➉▲✸❻ ➟
✮✯✬✟➅✻❿❥❺❫✰✯✮✷❺❝✬✟✲➇➅❥✮✟✸❥➟⑦❺❝➏↕❾➈✰✷✶❪✬✟❾✯➉➫✶❅✶✹✸✻↔❏❿✻✬◗✬➁✲✴✰❦↔❏❺❝✶✹❾✯➅✻✰❨✬◗➅✻✳➇✳❖➊➯❺❫✳✴✬➁✮✷❺❝✬◗✸❥❾➈✰❇✳✴➉➎➟❅✲✴➍◗❿❥✬✟❿✻✬☎❾✙✲❖❾✏➂✙❿✻➍☛✬➁✶✹✲✴➆✻✰❱❿❥➍☛✳❖❺❅➉❏➆✻➉✥↔♣➾❥❿✻✸❥❾➈✮✷✲✴➉✥↔♣❺❝✸➄✳➇❾➈✲➇➍☛✬✟➊➢✬✐✬✟✳✵➊✌❾❦✲✴✳✴✸❈➊➢❺❅✶❅✮✯➍☛✶❅✰€✬✟✳➇➉➎✮✯✬✟❿✻✰✷➂✍❺✹✬✓❼✻✲➇❺✹✮✯✳➇✬✐✰✯❿✎✰✷❺❝✲➇➍☛➀❫✸❥❻❅❺✹➉▲❺✹✳❷✸✻➟❈✶✹✲✴✲❖➊➋✸➫➉⑦✬✹✮✷❿✻❿❥→✻✲❖❺❫➦❦❾➯✮✏✳➇✮❁✬❇❻❪✬✟❺❝➀✹➅✻✰✷✬✟✲❖✳➇➍◗✸❅❻❅❺✹✮❇➟❪✳➄→ ❿✻➂€✬➁❺✉❽❈❻✹✸❥➟❅✶❫❿✻➂
ỳỳ

é
ỷ ỏ
ỗổ ◗✷ỉ❙⑥✻ỉ❙④☎❶❛ỉ♦✦
♣ ✳Ý ✩q ■❛❋✷✿❁❋✷❑➯Ý❦✽❃❴❃✿❁▼✟❂➄❱❢ r❘s✉t✇✈②①✽③❂④❪⑤◗❢⑦❘➎Ü✹Ý✐✽Ü ✞✏Ü❅❞❦❋✷❧➯❯✓❚✟❂❥❢✹❤✌❆❈❴❃❴❃❋✷✿❁✽❃❂↕▼◗◆❛✿❁❉❈❋⑥✱➄▼✟❂❪●❅▼✟❂❏❘❏❚☛✿❁❉❈❋❱❯✓❚☛✿❊✈
✽❃❲❍❚◗❴▲❵✹▼❫❲✷✽✵❋✯✿①Ø❫❢❥♦ ❤ Ĩ❀♦❱r ❤ ✇❇Õ✯❢⑦✇✐✐❨ ✥✈ ❨✟t❝Ü
♣ Ý❦✽✵❂✕q✑❀✌Ü❅Ý✐Ü❈Ý✙✽❃❂❈✾❊❴❃❋✷Ø❫❢❅❋✷✿❦❚✟❴ Ü❃❢⑧⑦❊⑨❶⑩❸❷✡⑩✇❹❄❺✶❻✉❼⑧❷✡❽✕❾✇❾✇⑩❸❿▲❽✕❼➁➀❂❽❖⑩✇❼➂❷✡❺➃❽❖➄❇❽✕➀✐➅✫❼➁➆➂➇➈➅✩⑨❂❾❸➆➂➇➈➉✩❫⑨ ❢⑦q
✴✉▼✟❴❃❆❈❯✩❋❱✾❱❢✹Ý✙❋✯❑€❘❏❚❍Ô❀❋✷✾❀✿①⑧Ø ▼ ✾€❵❫✿➈❚◗✿❁✽❃▼❇❂❅❋✷❑❊Ø ✯✭➊ ❲❱❋❇Ü
♣ Ý❦❂▼ q✑✞❨❂❪●❝❑❁❋✷❧ Ý✙▼❝●✹❄❇❋❱✾❱➌❢ ➋✾❾➍➉▲❼❭➎➐➏➃⑨❶⑩✇❼➃❿❳➑✲➎❊❺➃❽➓➒✭❼➁⑩❸❿⑧➔❵❥➉ ❢✚❵❝✽❃❯✩▼❇❂➶❚✟❂❪●➶❵✹❲➈❉❝❆❈✾❀✿❁❋✷❑❍❢❙❞☎Ü ❡✐❢
♦❱r ❤✐❤
❤

→✐➣➁↔❳↕✕➙❘➛✾➣➃↔✽➜▲➝⑧→▲➞✐➣➁↔✽➟✩➠❝➡➤➢❚↕✐➥✫➝✕➠❇↔✻➣❇➟✫➦✸➥❝➡❪→✕➧✽➨

☎➸➵

➩ ✱➄❋✯✿✚❂❈▼☎▼❇❂❅❋✙✾❊❆❈❭❅❭⑦▼❇✾❊❋❨✿❁❉❈❋❱✾❊❋❦❭❅❑❁❋①Ô①❆❪●❅✽❃❲❱❋✷✾✌❧✭❋✷❑❁❋❦✿❁❉❈❋❱❂✓❲❱▼✟✽❂ ❪➫ ❂❅❋❍●➁✿❁▼❣❤❙❑❁✽❃✿➈❚◗✽❃❂➄❢❈❚✟❂❪●➁✿❁❉❈❚◗✿✚▼ ➊ ✈
❲❱❦✞ ✽✵❚✟❲✯✿❏➁❴ ✞❦Ĩ❀♦❍❯✩r✐❇❃❋✷❑❁t✟✽❃Õ✐❲❍❚✐✾❀✿➈❧✭❚◗✿❁❚✟❋❱✾❨✾❖✽❃❂❈☞➭❂❈❦✞ ▼❫❴❃❲✷✽❃❋❱❋❱❂❅❂❫✾✩✿✙❶❚▼◗✩➯◆❩✾❊✽❃❆❈❲✷✿❁❲➈❋❱❉♣●✠Ú❪❧➯❚◗❑❁✽❬✿❁Ú❈❉➘❚◗❑❁❭❈✽❃✾❊✾❀❯❏Ø✹❲➈Ü ❉❈Ị ▼❇❉❈❭❈❋✏❚◗✿❁Û①❉❅❯✩✽✵❲✪❯✩❭⑦✽❃❄✟❋✷❑➈❑❁✾❊❚☛▼✟✿❁✽❃❂❪▼❇❚✟❂♣❴❃✽❬✿①❚◗Ø➑❂❪●↕Ü✚❞✙Ü✭❚◗Ü❩✿❁✾❊✽❃❉❪▼❇❂❈❚◗❴✵❚✟❴✚❴❃✽❬Ú⑦✿①Ø ❋
✿❁✿❁❋✷❉❪❉❈Ư✹❋✓❚☛❲❱❴❃➲✿ ❆❪✌✏ ●❅☞➵▼❇✿❁❚✟❂❅❉❅Ú❅❄✟❋€❴✵❑❁❋✚❴❃❋❱❋❱◆➇✾❊❄❇❑❁✾☎▼❇✽❃✾❊❯➃✽❃❴✵❂❝❚◗✿❁✿❁❚❇❋✷❣✽ ✉✴●❅❂❪❋☎❯✩●❅❋❱❉❈✽❃●✥✾❊✽❃✾❊✾❀✽❃✿❁✿❁▼❇❉❅▼✟❂✩❑❊❋➁Ø✪✿❁❭❈▼€▼◗❉✹◆▲✿❁❑➈❉❅✿❁❚✟❉❈❋❨✾❊✓❋❋➳❜☎✍✟✞❨Ü❝❭❈❵⑦❲✷✾❀✿➯Ü Ø✹✏✍ ✽❃❲✯❂❪Û➵❉❅❂↕●❅▼❇✽❃❭❈❲❍♦❍❚◗❚☛r✟✿❁✿❁✇✻❉❈❋❱❨❝✾➯✽❃❢❫❲➁Ú⑦✿❁❉❅❭⑦❋✷❋❦Ø❫❋✯❑❁▼✟❵✹✾❊❂❪❆❈▼❇●✪❂❪❭✹❚◗❑❁❚❣❋❱❴❃✽❃❯✩✾❊✿➵❉❪Ø✧❋✳❚✟✙☞ ●❅✌✏ ✿❁▼❍▼❇▼↕❧➩❆✹✽❃❑❊❂❈▼✟✿✌❲✷◆❩❭✹❴✵●✹❆❈❑❁▼❇▼❇●❅❆❈❂❅❋➁Ú✹▼❇❉❅❆❈✿✚▼❇❂❅✿❁❯✩❲❱❉❪❋❍❚☛▼◗● ✿✈
✾❊❋✷Ư✹❆❪❚◗❴❃✾❱Ü ✍

Ị ❉❈❋✍✾❀✿❁❆❈●❅❋❱❂❫✿➯●✹✽❃❋❍●✜✿①❧✌▼✩●❈❚❱Ø✹✾✚❴✵❚◗✿❁❋✷❑❍Ü

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 ✂✁☎✄✝✆ ✞✠✟☛✡☞✁
✌✎✍✑✏✒✍✑✏✔✓✖✕✗✕✙✘✛✚
✜✣✢✥✤✧✦★✢✪✩✬✫✮✭✯✢✪✤✱✰✬✲✴✳✶✵✸✷★✹✻✺✼✲✙✤✱✤✱✹✻✷✾✽❀✿❁✲✙✷★✢❂✦★✭✯✤
❃❅❄❇❆ ✜❈✲✙❉❋❊✛✷✱✦★✿❁✲✙✩●✦
❍■✩✯✢✪❏❑✲✙✷★✤✱✢❂✦▼▲◆✹✛✺€❖◗❊❘✦★✲✙✷★❙✪✹❚✹
❖☛❊✛✦★✲✙✷★❙✪✹❚✹❱❯ ❆ ✩❚✦✗❊✛✷★✢✪✹✬❯ ❃ ❊✻✩✯❊✮✳✬❊✒❲✾❳✻❨❬❩❑❭❫❪
❴ ❵✯❛❝❜✖❞❢❡✾❣❫❤❥✐❦❜❢❧★❡❝❛
♦♠ ♥✑♣❑q❱✘srt✘✻✘✛✉✈♣❱✇②①❱✘✻③✂✕②④⑤✇✗⑥❦✘✻♣❱①⑦✕✙④✖③❢♣❑⑧✂♣●r❦④❱✓✖✕◗✇✗④✬⑨✶✘❶⑩✛❷②⑧❋⑥✖✕✙④❱❸❱❷❹♣●⑥✑♥❢❺❻⑩☛❼✣④❱❷✙①⑤♠♦❼❈♣❱✇
✘✛✉❢❸✯♣●❸❱✘✮③❽❺❻✉❾♣●✕✝❿✣➀➁✘✛✕✙⑩❹♥❢➀❻✘✛⑧➃➂➄♣❱❷②①€➅❅③✖✓❢❷✙❺➁✉✑❸s✕✙♥❢✘◗➆❢④✬❷✗✕✙❺➁✘✮✇✛✍➄♠◆❼✣♣✬✇➇⑩❘④❱✉t⑩❘✘✛❷✙✉❢✘✮③❽⑨➇♣●❺❻✉❢➀❻⑧
❼✾❺✥✕✙♥☛♣♦➈➉✘✻❷②⑨➇♣❱✉➊⑨➇♣❱⑩❹♥✑❺➁✉❢✘✛➋✧⑩✛❺➁⑥✑♥❢✘✛❷❈①❋✉❢④❚❼✾✉☛❺➁✉◗❿✣➀❻✘❘✕✙⑩❹♥✑➀➁✘✻⑧✝♣❱✇✶➌✙➆✔♠✗➍❢➎❥➏❢✍t✏❈♥❢✘✒✉❢✘❘✕★❼✣④❱❷✙①
✓✑✇✗❺❻✉❢❸➐✕②♥❢❺✼✇❈✇✗⑧✖✇✗✕②✘✛⑨➑❸✬❷②✘✻❼⑤✕②④➐♥t♣❑q❱✘➒⑨➇♣●✉❋⑧✶➀❻❺➁✉❢①✖✇❈♣●✉t③➇✘✻♣✬⑩❹♥➇➀➁❺❻✉❢①➇❼❈♣❱✇■❸❱❺❻q❱✘✛✉✶✕✙♥❢✘➉✉✑♣●⑨✶✘
④●➓✸♣✒①✯❺❻✉✑③✶④❱➓t➔t✇②♥❀✍✯✏❈♥✯✓t✇❅✕②♥❢✘❈➔t❷✙✇✗✕❝➀❻❺➁✉❢①➐✕②④❁r❦✘➒❺❻✉✬✕✙✘✛❷❹⑩❘✘✻⑥✖✕②✘✮③◆❼❈♣❱✇❝⑩✛♣●➀❻➀❻✘✻③❶➌②✏✔✓❢✉❢✉❋⑧✖➏✒♣●✉✑③
♠■❷✙✘✻⑩✻♣●➀❻➀€✇②✓✑⑩❹♥☛✉✑♣❱⑨→✘✮✇✾♣❱✇✶➌✙❿■❷✙✘✻♣❱⑨➇➏❢➅☎➌②➎➒✘✻❷②❷✙❺❻✉❢❸✬➏→♣●✉✑③⑦➌②➣↔♣❱⑩❹①❱✘✻❷②✘✻➀❻➏✠➓↕④❱❷✾➀✼♣❚✕✙✘✛❷✾➀❻❺➁✉❢①✖✇✻✍
✏❈♥❢✘✾✕②✘✛➙❋✕✗➋✧rt④❋④❱①➐➓↕④❱❷❝✕②♥❢❺✼✇➛➀❻✘✻⑩❘✕②✓❢❷✙✘➒❺✼✇✠➌❹➜■④✖③✖✘❫❿■❷✙✘✻♣❱①❱✘✻❷✙✇✙➏❢➅❑✘✻③❢❺✥✕✙✘✻③✶r❋⑧→➆✣✍ ➎✠✍❋➎➒❺❻✉✑✇②➀➁✘✻⑧
♣●✉✑③❶➝➒➀✼♣●✉➞➍✯✕②❷✙❺➁⑥✑⑥❾➟ ➎❫➍✖➠➡✍✸♠✧✕❁❺✼✇❁✇✗✓❢r❢✕②❺➁✕②➀❻✘✻③➢➌②✏❈♥❢✘→♠✱✉✑✇②❺❻③✖✘♦➍✯✕✙④❱❷✙⑧◗④●➓❈❿■➀❻✘❘✕❹⑩❹♥❢➀❻✘✛⑧➤➂➄♣●❷✙①€✍ ➏

➂➄♣●❷②✕✶➥s④●➓❫✕②♥❢❺✼✇➇r❦④✯④✬①➞✕②✘✻➀➁➀✼✇✶✕②♥✑✘☛✇✗✕②④✬❷②⑧➦④❱➓➊➌✙➆✔♠✗➍❢➎❥➏❢✍➄♠✧✕✶✕✙✘✛➀❻➀❻✇✶✕✙♥✑♣❚✕✶✕✙♥❢✘❬➔✑❷✙✇✗✕♦➆☎♠✗➍✖➎
✕②❷❹♣❚➧♦⑩❁✕✙④✝r❦✘➐❺❻✉✬✕✙✘✛❷❹⑩❘✘✻⑥✖✕②✘✮③◗❼✣♣✬✇➒④✬✉↔♣➊➈➉✘✻❷②⑨➇♣●✉s➝➒❷✙⑨➐⑧❬❷✙♣✬③✖❺➁④✝➀➁❺❻✉❢①◗r❦✘❘✕★❼✣✘✛✘✛✉s➝✣✕②♥❢✘✻✉✑✇
♣●✉✑③✶➨❫❺➁✘✻✉❢✉✑♣✒➓↕❷✙④❱⑨➩✕②♥❢✘❥⑨→❺✼③❢③✖➀❻✘❥④❱➓➄➫✻➭●➯t➫❱✍●➣◗✓t⑩❹♥➇⑥❢❷✙♣❱❺❻✇②✘✾❺✼✇❝③✖✓❢✘➒✕②④❁✕✙♥❢✘❥③✖✘✮✇✗❺❻❸❱✉❢✘✻❷✙✇❝♣●✉✑③
④❱⑥❦✘✛❷❹♣❚✕②④✬❷✙✇■④●➓➲✕②♥❢✘✒❺❻✉✬✕✙✘✛❷❹⑩❘✘✻⑥✖✕②❺❻✉❢❸→✘✻➳✯✓❢❺❻⑥❢⑨✶✘✛✉✯✕❈➓↕④❱❷❈⑥❢❷✙④❋③❢✓✑⑩❘❺❻✉❢❸✶♣❱⑩✛⑩✛✓❢❷❹♣❚✕②✘➉⑩❘④✬⑥❢❺➁✘✮✇✣④●➓➲✕✙♥❢✘
➈➉✘✛❷✙⑨✶♣❱✉☛⑨→✘✮✇②✇✙♣●❸✬✘✻✇✻➅❢❼✾❺➁✕②♥☛➓↕✘✛❼✎❸✯♣●❷✙r❢➀❻✘✻③❬➀➁✘✛✕✗✕✙✘✛❷❹✇➒♣●✉✑③☛✘✻q❱✘✻❷②⑧➊➀➁✘✛✕✗✕②✘✻❷✻➅t❸✬♣❱❷②r❢➀❻✘✻③❬④✬❷➒✉❢④●✕✮➅
❺➁✉☛❺➁✕✙✇✾⑥❢❷✙④❱⑥❦✘✛❷❈⑥❢➀✼♣❱⑩✛✘❱✍
✏❈♥❢✘❁➀➁✘✛✕✗✕✙✘✛❷❹✇✾✓✑✇②✘✻③❬❼■✘✻❷②✘➉✕✙♥❢④✬✇②✘❁④●➓☎✕②♥❢✘❁♠✱✉✯✕✙✘✛❷✙✉✑♣❚✕✙❺➁④✬✉✑♣●➀❀✏✔✘✛➀❻✘✛⑥❢❷✙❺❻✉✬✕✙✘✛❷❫➜■④✖③✖✘✬✍✑✏❈♥❢✘✛❷✙✘
❼■✘✻❷②✘❫✕★❼■④✶r✑♣✬✇✗❺✼⑩➉✇✗⑧❋⑨➐r❦④❱➀✼✇✻➅❢⑩✛♣●➀❻➀❻✘✻③❬♣❚✕➒❿✣➀➁✘✛✕✙⑩❹♥❢➀❻✘✛⑧❽➌✙➵❥④❱✕✙➏→♣●✉✑③⑦➌❹➜■❷✙④✬✇✙✇✙➏❢✍❋✏❈♥❢✘✛⑧♦❼✣④❱✓✑➀❻③
✘✻➳✯✓✑♣●➀❻➀❻⑧➇❼■✘✻➀➁➀€♥✑♣❑q✬✘❥r❦✘✛✘✛✉☛⑩✛♣❱➀➁➀❻✘✻③❽➌❹➸❦✘✻❷②④✯➏✠♣●✉✑③⑦➌❹➺❫✉✑✘✻➏❢✍❢➺❫❷✮➅✬❼✾❺➁✕②♥❬✘✛➀❻✘✻⑩❘✕②❷✙❺❻⑩✻♣●➀€✇✗❼✾❺➁✕✙⑩❹♥❢✘✮✇
❺➁✉◗⑨✶❺❻✉✑③✸➅➛➌✴➺❫✉✑➏✶♣●✉✑③❾➌❹➺❥➻➛➏✑✍✑➼❝♣✬⑩❹♥➊➀❻✘❘✕②✕②✘✛❷❫❼✣♣✬✇✾♣➇✇✗✘✮➳✯✓❢✘✛✉✑⑩✛✘✒④●➓❝➽◆r✑♣❱✇②❺❻⑩❁✇②⑧❋⑨➐r❦④❱➀✼✇✛➅t✇✗④
✕②♥❢✘✻❷②✘✒❼✣✘✛❷✙✘✒➥✯➾◆➀➁✘✛✕✗✕②✘✻❷✙✇❈❺❻✉◗♣●➀❻➀▼✍❢✏☎♣●r✑➀➁✘➇➫❁✇②✘❘✕✙✇❈④✬✓✖✕✾✕②♥✑❺❻✇✾♠✱✉✯✕✙✘✛❷✙✉✑♣❚✕✙❺➁④✬✉✑♣●➀➲➜■④✖③✖✘❱✍
♠✱✉➤✏✔♣❱r❢➀➁✘➊➫❁✕②♥✑✘✠➔✑q✬✘➐✇✗⑧❋⑨◆rt④✬➀❻✇❥④●➓❝♣➇➀❻✘❘✕②✕②✘✛❷✒♣●❷✙✘✠❼✾❷✙❺✥✕②✕②✘✻✉◗❺➁✉↔♣✝❷②④❚❼❁✍✑♠✧✕❫❼❈♣❱✇➒⑨✶④✬❷②✘
✓✑✇✗✓t♣●➀✬♣●✕☎❿✣➀❻✘❘✕✙⑩❹♥✑➀➁✘✻⑧❥✕✙④➒❼✾❷②❺➁✕②✘❝✕②♥❢✘✻⑨➚❺➁✉✠♣❫⑩❘④❱➀❻✓❢⑨✶✉❀✍✮✏❈♥✯✓t✇✸✕②♥✑✘❝r❦✘✛❸❱❺❻✉❢✉❢❺❻✉❢❸❫④●➓❢♣✾⑨✶✘✻✇✙✇②♣❱❸❱✘
❺➁✉❶✕②✘✻➀➁✘✻⑥❢❷✙❺➁✉✯✕②✘✻❷✠⑩❘④✖③✖✘✶⑨✶❺➁❸✬♥✯✕➐♣●⑥❢⑥❦✘✻♣❱❷✠♣❱✇✒❺❻✉❶✏☎♣●r❢➀❻✘✝➾✖✍❀➎❥✘✛❷✙✘➞➌②➭❱➏❬✇✗✕✙♣●✉t③❢✇✒➓↕④❱❷◗➌②✌s④✬❷✙③
➍❋⑥✑♣❱⑩✛✘✻➏✑✍➲✌✂♥❢✘✻✉➃♣◗⑨✶✘✻✇✙✇②♣❱❸❱✘♦④✬❷✠④●✕✙♥❢✘✛❷✶✇②✘✻➳✯✓❢✘✛✉t⑩❘✘♦④❱➓❈➀❻✘❘✕②✕②✘✻❷✙✇◆❼✣♣✬✇❁❼✾❷✙❺✥✕②✕②✘✛✉➃➀➁❺❻①❱✘✝✕②♥❢❺✼✇
❼■✘◆❷②✘✛➓↕✘✛❷✙❷②✘✮③❬✕②④♦✕✙♥❢✘◆➔✑q❱✘◆❷②④❚❼➒✇❫♣❱✇✾✕✙♥❢✘◆➔✑q❱✘s➌✗❺❻⑨→⑥✑✓❢➀❻✇②✘✻✇✙➏❢➅✑➔✑q❱✘→✇★✕✙❷②✘✮♣●⑨➇✇❫④●➓❝③✖④❱✕✙✇➉♣●✉✑③
⑩❘❷✙④✬✇✙✇✗✘✮✇✛✍
➪ ✵✸✷★✹✻✺✼✲✙✤✱✤✱✹✻✷➇➶t✭✬✦✱✦★✲✮❯✔➹€➘✣➴❢❯❀➷❅✹✛✷★➬❑✲✴✳↔✺➁✷★✹✮✿➮❪✴➱✛✃✬❪➇✦★✹↔❪✴➱✻✃❑❐❬✢✪✩❶✦★✰✯✲➇❒➲✷★✢✪✦★✢✪✤✱✰➞❮②✷✱▲✬❉❱✦✗❊✻✩✯❊✻❙❂▲●✦★✢✥❮
✰✯✲❹❊✮✳✯❰❚✭✯❊✛✷✱✦★✲✙✷★✤➛❊❘✦❝❒☎❙✪✲✙✦★❮②✰✬❙✪✲✙▲◆✵✸❊✛✷★➬✖❯✬✦★✰✬✲✣✿❁✹✻✤✧✦➛✤✱✭✯❮❹❮❹✲✙✤✱✤✧✺✼✭✯❙✑✢✪✩❚✦★✲❹❙✪❙✥✢✪✫✻✲❹✩✯❮❹✲❥❊✛✫✮✲❹✩✬❮✙▲➐✢✥✩➐➷❅✹✛✷★❙➁✳
✰✯✢✪✤✧✦★✹✛✷✱▲❚Ï✯Ð■✢✥✤➄➷☎✹✻✷★➬✖❯✬➷➛✰✬✢✪❮②✰✶❮✙✹✮✿➉Đ✬✢✪✩✯✲✴✳✠✲❹❙✪✲❹✿❁✲❹✩❚✦★✤➛✹✻✺✸✤✧✦✗❊❘✦★✢✪✤✧✦★✢✥❮✙✤❈❊✻✩✯✳◆❮❹✹✻✿➉Đ✬✢✥✩✯❊✛✦★✹✛✷★✢✥❮✙✤❹❯✯➷➄❊✛✤
✢✪✩✯✤✧✦✱✷★✭✬✿❁✲❹✩❚✦✗❊✻❙❚✢✪✩❫✦★✰✬✲❅Đ✬✷★✲✴❊✛➬●✢✥✩✬✫✣✹✛✺✖➹€Ị✱➴●Ð❫❯✻❊■✤✱✲②✷★✢✥✲✙✤➲✹✛✺✖❮❹✹●✳❱✲❹✤✸✦★✰❋❊✛✦✸➷☎✲✙✷★✲❅✭✬✤✱✲✴✳❫Đ❚▲✾✦★✰✯✲➄❭✣✲✙✷✱Ĩ
✿✠❊✻✩♦❮❹✹✻✿❁✿✠❊✻✩✯✳→✺✼✹✻✷➒✲✙✩✯❮✙✷✱▲❱❉✬✦★✢✪✩✬✫➐❮✙✹✮✿❁✿➉✭✬✩✯✢✪❮✴❊❘✦★✢✥✹✻✩✯✤■Đ✖✲✙✦➡➷☎✲❹✲❹✩♦✦★✰✯✲➉✰✬✢✪✫✮✰✯✲✙✤✧✦➒❊✻✭❱✦★✰✯✹✻✷★✢❂✦★✢✪✲❹✤❹Ï
➴❱✭✬Đ✯✤✱✲✴❰❚✭✬✲❹✩❚✦✣❮✙✷✱▲❱❉❱✦✗❊✻✩❋❊✛❙❂▲❱✦★✢✪❮❥➷❅✹✻✷★➬♦✹✻✩❬➹€Ị✧➴❱ÐƠ✢✪✩✯❮❹❙✪✭❋✳❱✲✴✳➇✦★✰✯✲✒✳❱✲❹❏❑✲❹❙✪✹✻❉✯✿❁✲❹✩❚✦■✹✻✺ ❃ ✹✻❙✪✹✮✤✱✤✱✭✯✤❹❯
✦★✰✯✲■➷❅✹✻✷★❙✥✳❢Õ ✤➛Ư✯✷★✤✧✦❝✲❹❙✪✲❹❮②✦✱✷★✹✮✩✯✢✪❮✾❮❹✹✻✿❁❉✯✭❱✦★✲✙✷✴Ï

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❪✁ 

❖❾Ï❋➶✣Ï❋➶❦✭✬✦✱✦★✲
✪❙ ❙t✤✱❉✯❊✻❮❹✠✲ ✟☛✡✌☞
❃ ❊❘✷✱✷★✢✥❊✻✫✮✲❥➘❝✲✙✦★✭✬✷★✒✩ ✟ ✃✓☞
❆
❖❬✹✻✷✗✳→➴❱❉❋❊✛❮❹✠✲ ✟✖✕✗☞
Ð
❲
❨✑✢✪✩✯✲❈✺✼✲✙✲✴✛✳ ✟ ✜❐ ☞
❨
➘
❭
Ò
✵
❃
✽
✜
❒
➴
➹
➶

✂✄✂✄✂☎✂✆✂✞✝
✂✄✂✄✂☎✂✎✍
✂✄✂✄✂✏✍✑✂
✂✄✂✄✂✏✍✄✍
✂✄✂✎✍✔✂✆✂
✂✄✂✎✍✔✂✎✍
✂✄✂✎✍☎✍✑✂
✂✄✂✎✍☎✍✄✍✙✘
✂✎✍✚✂☎✂✆✂

✂✎✍✚✂☎✂✎✍
✂✎✍✚✂✏✍✑✂
✂✎✍✚✂✏✍✄✍
✂✎✍✄✍✔✂✆✂
✂✎✍✄✍✔✂✎✍
✂✎✍✄✍☎✍✑✂
✂✎✍✄✍☎✍✄✍✣✢
✍✚✂✄✂☎✂✆✂
✍✚✂✄✂☎✂✎✍✙✤
✍✚✂✄✂✏✍✑✂
✍✚✂✄✂✏✍✄✍
✍✚✂✎✍✔✂✆✂
✍✚✂✎✍✔✂✎✍✦✥
✍✚✂✎✍☎✍✑✂
✍✚✂✎✍☎✍✄✍✣✍
✍✄✍✚✂☎✂✆✂✞✝
✍✄✍✚✂☎✂✎✍
✍✄✍✚✂✏✍✑✂✞✧
✍✄✍✚✂✏✍✄✍
✍✄✍✄✍✔✂✆✂
✍✄✍✄✍✔✂✎✍✙✩
✍✄✍✄✍☎✍✑✂✔✪
✍✄✍✄✍☎✍✄✍
✬✮✭✰✯✲✱✴✳✶✵✸✷

❖

❍

➹€✢✪✫✻✭✬✷★✲❹✤★✟↕❩✗☞

❨✑✲✙✦✱✦★✲✙✷★✤✫✟ ✜❳ ☞
➶❦✲❹❙✪✲❹❉❱✷★✢✪✩●✦★✲②✷ ❃ ✹●✳❱✲

➱❶➴◗✵❶➘➦❍ ❃ Ð❽❲❽❍

✽❶➘ ➱

✘✞✘
✂✎✍✑✂✄✂✎✍✚✂☎✂✆✂✏✍✹✂✞✂✺✍✑✂✄✂
✂✆✂✏✍✆✍✄✍✄✍✔✂✆✂✏✍✹✂✞✂✻✂✼✍✑✂
✍✄✍✄✍✑✂✎✍✄✍☎✍✄✍✄✍✻✍✔✍✽✂☎✂✎✍
✂✆✂✄✂✎✍✚✂✎✍✔✂✎✍✑✂✾✍✔✍✽✂✼✍✑✂
✂✆✂✏✍✑✂✄✂✄✂✏✍✑✂✄✂✾✍✔✍✽✂☎✂✄✂
✬✮✭✿✯✲✱✴✳✰❀❁✷

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€➹ Ò✱➴●Ð❾❊✛✩❋✳→Ò ❪✮❪
♠✠✇★✕❹♣●❷②✕②✘✻③➞❼✣④❱❷✙①s♣●✕→❿✣➀❻✘❘✕✙⑩❹♥✑➀➁✘✻⑧➞➂➄♣❱❷②①s❺➁✁
✉  ↕♠✒✕②♥✑❺➁✉❢①✄✂◆➣➤♣❑⑧❾➫✻➭●➯t➫❱✍❀♠✧✕✶❼❈♣❱✇➐✇②✘✛q✬✘✛❷❹♣●➀
⑨→④✬✉✯✕②♥✑✇❈➀✼♣❚✕✙✘✛❷❈✕②♥t♣❚✕➒♠✣✘✛✉✑⑩✛④❱✓❢✉✯✕②✘✻❷②✘✮③➊✏✔✓❢✉❢✉❋⑧✬✍
☎ ✆➃✞
❛ ✝➄❣❥❣❫❧✱❜❢✠❧ ✟☛✡✈✐✸❧✌☞✎✍✏✡❀✒❞ ✑
♠✱✉◆♣●✉◆♣❱③❢③✖❺➁✕②❺❻q❱✘✣⑩❘❺❻⑥❢♥❢✘✻❷✔❼✣✘✣⑩✛④❱✉❋q❱✘✻❷✗✕➲✕②♥❢✘❈⑩❘➀❻✘✻♣❱❷➲⑨✶✘✻✇✙✇②♣❱❸❱✓✘  ✕✔✖❀✂ ❺❻✉✯✕②④➒✕✙♥❢✘❈⑩❘❺❻⑥❢♥❢✘✛❷☎⑨✶✘✻✇✙✇②♣❱❸❱✘
 ✘✗✙✂■r❋⑧♦♣❱③✑③✖❺➁✉✑❸◆✕✙④◆❺➁✕✻➅✖➀❻✘❘✕②✕②✘✻❷✾r✯⑧➇➀❻✘❘✕②✕②✘✻❷✻➅❢♣→✇✗✘✮➳✯✓❢✘✛✉✑⑩✛✘❫④❱➓✔➀❻✘❘✕②✕②✘✛❷❹✇❈⑩✛♣❱➀➁➀❻✘✻③✝✕②♥❢✘✒①✬✘✛✚⑧  ✕✛✜❘✂ ✍
✏❈♥❢✘➐♣❱③✑③✖❺✥✕✙❺➁④✬✉◗♥✑♣❱✇➒✕②④♦r❦✘◆③❢✘❘➔✑✉❢✘✮③✸✍€➺❫✉✑✘✠⑨✶✘❘✕②♥✑④❋③➤❺❻✇➒✕②④♦✉❋✓❢⑨◆rt✘✻❷➒✕②♥✑✘✠➀➁✘✛✕✗✕✙✘✛❷❹✇➒④●➓➄✕✙♥❢✘
♣●➀❻⑥❢♥✑♣●r❦✘❘✕✮➅✑❺❻✉◗④❱❷❹③✖✘✛❷✮➅❋➓↕❷✙④❱⑨ ➫✠✕②④✝✣➾ ➇✢ ♣❱✉✑③➊✕②♥❢✘✻✉↔♣❱③✑③✝✕✙♥❢④✬✇②✘❁✉❋✓❢⑨➐r❦✘✛❷❹✇✾⑨✶④✖③➤✣➾ ✢✑✍✑✏❈♥❋✓✑✇
  ✇②✘✛✘✠✏☎♣●r❢➀❻✘❁➥✤✂✴➅

✥
✦★✧✪✩ ➫✬✫ ✦ ➫✮➭ ✩ ➾●➭✜✭❇➥ ✩✯✮✎✰
♠✱✉♦✕②♥✑✘➉⑩✻♣❱✇②✘❥④●➓➲✕②♥❢✘❫✕②✘✻➀➁✘✻⑥❢❷②❺❻✉✯✕②✘✻❷✣⑩✛④❋③❢✘➉♣❱✉♦④❱r❋q❋❺➁④✬✓✑✇■⑨→✘✛✕②♥❢④✖③✝❺❻✇■✕②④→♣❱③❢③♦✕②♥❢✘➉➀❻✘❘✕✗✕✙✘✛❷❹✇❈♣❱✇
➽❑➋✧q❱✘✻⑩❘✕②④✬❷✙✇■⑨✶④❋③◗➾❢✍❢✏❈♥✯✓t✇
✱ ✱ ✲
✱ ✲ ✱
✥
✦★✧✳✩ ✲ ✦ ✱ ✩ ✱ ✩✯✮
✱ ✲ ✱
✲ ✲ ✲
✏❈♥❢✘■①✬✘✛⑧➉❼■✘✣⑨➇♣❑⑧➉✇②✓❢⑥❢⑥❦④✬✇②✘✣❺❻✇☎♣❥✇✗✕②❷✙❺➁✉✑❸❥④●➓❢➀❻✘❘✕②✕②✘✻❷✙✇☎⑥❢❷✙④✖③✖✓✑⑩❘✘✮③❁r❋⑧➉✕②♥❢✘❈⑩❘❺❻⑥❢♥❢✘✻❷✔⑨➇♣❱⑩❹♥✑❺➁✉❢✘✬✍
✌s✘✠⑩✻♣●✉❬❼✾❷②❺➁✕②✘✒✕✙♥❢✘❁⑥❢❷✙④❋⑩✛✘✻✇✙✇✣④●➓❅✘✛✉✑⑩✛❺➁⑥❢♥✑✘✛❷✙⑨→✘✻✉✯✕✾♣✬✇✾♣●✉☛♣●➀❻❸❱✘✻r❢❷✙♣❱❺❻⑩❫✘✻➳✯✓✑♣●✕②❺❻④❱✉
✔ ✦ ✛ ✩ ✗✰
❪ ❲ ❪❹✃
❒ ❳ ❆ ❪❘❐
❃ ❩ ✵➩❪ ✕
✜ ✃ ✩ ❪✡
✽➮❐ ➘ ❪✵✴
➹ ✕ ➴❇❪✴➱
✦
❭ ✡ ➶ ❳✌ 
Ð✶✴ ❍➩❳●❪
Ò➩➱ ✢ ❳✮❳
❳✻❩
✧ ❪  ❾❖
✪ ❪✮❪ ✍ ❳✛✃
❨Ô❪❘❳ ✥ ❳✮❐
❳✕
✘ ❪✴❩ ✤ ✌
✬✮✭✿✯✲✱✴✳✤❁

✷✷
✝

➝❥③❢③✖❺➁✕②❺❻q❱✘✠⑩✛❺➁⑥✑♥❢✘✛❷❹✇❈♥✑♣❑q❱✘❁♣→❼✣✘✛➀❻➀✥➋✧①❋✉❢④❚❼✾✉➊❼✣✘✻♣❱①❋✉❢✘✻✇✙✇✛✍❢➍❋✓✑⑥❢⑥t④✯✇✗✘✒✕★❼✣④✶⑨✶✘✻✇✙✇②♣❱❸❱✘✻✇❈♣❱❷②✘
⑩✛♣●❷✙✘✛➀❻✘✻✇✙✇②➀➁⑧♦✇②✘✛✉✯✕✾④❱✉❬✕②♥✑✘✠✇②♣❱⑨→✘✒①✬✘✛⑧❱✍❢✏❈♥✑✘✛✉
✔✹✸ ✦ ✛ ✩ ✗✺✸
✔✼✻ ✦ ✛ ✩ ✗✽✻ ✰

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✴❪ ❳ ❖❾Ï❋➶✣Ï❋➶❦✭✬✦✱✦★✲
✏❈♥❢✘✛❷✙✘❘➓↕④✬❷②✘
✔✖✸✁  ✔✼✻ ✩ ✗✙✸✂  ✗✙✻ ✰
✌s✘✶⑩✛♣❱➀➁➀❻✘✻③s✇✗✓✑⑩❹♥s♣✝⑥✑♣❱❺➁❷✒♣❽➌✙③✖✘✛⑥❢✕②♥↔④❱➓➛✕★❼✣④✬➏❢✍t♠✧➓❝✕✙♥❢✘◆✘✻✉❢✘✛⑨◆⑧◗⑩❘❷✙⑧✯⑥❢✕✙♣●✉t♣●➀❻⑧❋✇✗✕❫♥t♣❱✇❫❷②✘✮♣❚➋
✇✗④✬✉❽✕②④➞✇②✓✑✇✗⑥❦✘✻⑩❘✕♦✇✗✓✑⑩❹♥❾♣s③❢✘✛⑥✖✕✙♥⑦♥❢✘◗✇②✓❢r✖✕✙❷✙♣✬⑩✴✕✙✺✇ ✗✽➊✻ ➓↕❷✙④❱⑨ ✗ ✸♦♣❱✉✑③➃①❋✉❢④❚❼➒✇➐✕②♥t♣❚✕➇♥❢✘
⑥❢❷②④✬r✑♣●r✑➀➁⑧➤♥t♣❱✇✎✔✖✄✸  ★✔ ✻❱✍➲✏❈♥❢❺✼✇✛➅➲❼✾❺✥✕✙♥❶❷✙✘✻♣✬✇✗④✬✉✑♣●r✑➀➁✘→➀➁✓t⑩❹①❦➅✸♥✑✘♦⑩✛♣●✉➞✇②✘✛⑥✑♣❱❷✙♣●✕②✘→❺➁✉✯✕②④☛✕✙♥❢✘
✕★❼■④→⑩❘➀❻✘✻♣●❷✣⑨✶✘✻✇✙✇②♣❱❸❱✘✮✇ ✔✖✸❥♣❱✉✑③ ✔✼✻●✍✖➎❥✘❫❷✙✘✻♣✬③❢✇➛✕✙♥❢✘✛⑨ r❦④●✕✙♥❀✍✖➣◗④❱❷✙✘✛④❚q✬✘✛❷➛r❋⑧♦✇②✓❢r✖✕✙❷✙♣✬⑩✴✕②❺❻✉❢❸
✔✖✸→➓↕❷②④✬⑨ ✗ ✸→♥❢✘➊⑩✻♣●✉➞➔✑✉t✪③ ✛➇✍✔✏❈♥❢✘♦⑥✑❷②④✖⑩❘✘✮③✖✓❢❷✙✘♦❺✼✇❁✕②④➤✕②❷✙⑧❶♣◗➀❻❺❻①❱✘✛➀❻⑧↔❼✣④❱❷❹③✸➅❀⑥❦✘✛❷✙♥✑♣❱⑥✑✇
➀➁❺❻①❱✄✘ ☎❅✝➺ ❥✆ ➵❁➺✝✠✆ ➅●❺❻✉➇✇✗✓✑⑩✻⑩❘✘✮✇②✇②❺➁q✬✘❈⑥t④✯✇✗❺➁✕②❺❻④❱✉✑✇➛❺➁✺✉ ✔✹✸✣⑩✛♣❱➀❻⑩✛✓❢➀❻♣●✕②❺❻✉❢❸➉✕②♥❢✘❫⑩❘④❱❷✙❷✙✘✻✇②⑥t④✬✉✑③✖❺❻✉❢❸➉✇②❺➁➙
➀➁✘✛✕✗✕②✘✻❷✙✇✣④❱➓✼✔ ✻➉✓❢✉✯✕✙❺➁➀€④❱✉✑✘❥➔✑✉t③❢✇❈♣➐⑥❦④✬✇②❺✥✕✙❺➁④✬✉✝❺❻✉✝❼✾♥❢❺✼⑩❹♥♦✕✙♥❢④✬✇②✘✒✇✗❺➁➙➇➀➁✘✛✕✗✕②✘✻❷✙✇❈♣❱❷②✘❫⑥❢➀❻♣❱✓✑✇②❺➁r❢➀❻✘
♣❱✇✾⑥❢➀✼♣●❺❻✉❬✕②✘✛➙✯✕✮✍✑➂❅✘✛❷✙♥✑♣❱⑥✑✇✣✕②♥❢✘✻⑧➊♣❱❷②✘➉✕②♥✑✘✛✉◗♠★➣➤➂■✞➼ ✆❥➼❥✍✑➈➉✓❢✘✻✇✙✇②❺➁✉❢❸✶✕✙♥✑♣❚✕✾✕✙♥❢❺✼✇❥⑩❘④✬✉✯✕②❺❻✉✯✓✑✘✻✇
♣❱✇✶➌✗♠★➣↔➂❝✞➼ ✆❫➼❝✠✏ ✟➒➝❫❿✣✡♠ ☎❀♠★✁✏ ☛➉➏◆♥❢✘✒❼✾❷✙❺✥✕✙✘✻✇➒♣✬✇✣➓↕④❱➀❻➀➁④❚❼➒✇
✔✹☞✸ ☎⑦✌
➺ ✆Ô➵➢✍
➺ ✆Ô✏⑦➎❇✍
➺ ✎Ô➝✏✂✟ ✏❾✏⑦➎  ▼➼ ✂
♠❁➣ ➂Ô✑➼ ✎
✆ ➼❾✏☞✟❇➝✈❿ ✒
♠ ☎➑♠✶✓✏ ☛ ✏

➍❋④❋④❱✉❬♥❢✘❁❺❻✇❥♣●✉❢✉❢④✬✓❢✉✑⑩✛❺➁✉❢✺❸ ✔ ✸ ♣❱✇❈r❦✘✛❸✬❺➁✉❢✉✑❺➁✉❢❸➦✔➌ ☎❀④✬✉✑③✖④❱✉➊✕②♥✑④❱✓◗♣●❷②✕❈✕②♥❢✘✖✕✑④✬✓❢❷ ✸ ④❱➓❅⑩✛❺✥✕✙❺➁✘✮✇
♣●➀❻➀❻➏✶♣●✉t③ ✔✼✻☛➌✗♠✱⑨✶⑥❦✘✛✉❢✘✛✕②❷❹♣●r❢❺❻➀❻❺✥✕★⑧✬➅❋✕②♥✑♣●✕✙✇✾❼✾♥✑♣●✕✾♠✣✇✙♣❑⑧✖➏❢✍
✗

✘✚❽
✙ ❵✜✛✣✢✥✤✧✦✏✤✩★✫✪✭✬✯✮

♠✧✕❬❼❈♣❱✇♦✕②♥❢✘➦➈➉✘✛❷✙⑨➇♣●✉Ô⑩❘✓t✇★✕✙④❱⑨ ④❱✉Ô✕②♥❢✘❶✏✠✎✰✆✰✆✄➮
☛ ➀➁❺❻✉❢①❾✕②④⑦❸❱❺❻q❱✘↔❺❻✉✂✕✙♥❢✘s⑥✑❷②✘✮♣●⑨➐r✑➀➁✘
④●➓✠✘✻♣✬⑩❹♥Ô⑨✶✘✻✇✙✇②♣❱❸❱✘↔♣⑦✇✗✘✮➳✯✓❢✘✛✉✑⑩✛✘↔④❱➓♦➫✮➾➦➀❻✘❘✕②✕②✘✻❷✙✇✻✍✣➝✣✕◗❿✣➀➁✘✛✕✙⑩❹♥❢➀❻✘✛⑧⑤⑥❦✘✛④✬⑥❢➀➁✘➞⑩✛♣❱➀➁➀❻✘✻③✂✕②♥❢❺✼✇
✇✗✘✮➳✬✓✑✘✛✉✑⑩✛✘✒✕②♥❢✘➤➌②❺➁✉t③✖❺❻⑩✻♣❚✕✙④❱❷❹➏◆♣❱✉✑③❬❸❱✓❢✘✮✇②✇②✘✻③➊✕②♥t♣❚✕❥❺➁✕➒❸✬♣❑q✬✘❫✕✙♥❢✘➐✇②✘❘✕②✕②❺❻✉❢❸✬✇❈➓↕④✬❷✠➫✮➾◆❼✾♥❢✘✻✘✛➀✼✇
❺➁✉◗♣✶⑩❘❺❻⑥❢♥❢✘✻❷➒⑨➇♣❱⑩❹♥❢❺❻✉❢✘❱✍t➺➉⑩✻⑩✛♣✬✇✗❺❻④❱✉✑♣❱➀➁➀❻⑧✶✕★❼✣④→⑩✛❺➁⑥❢♥✑✘✛❷➒⑨✶✘✻✇✙✇✙♣●❸❱✘✮✇✣❼■④✬✓❢➀❻③❬⑩❘④✬⑨✶✘➉❼✾❺➁✕②♥☛✕✙♥❢✘
✇②♣❱⑨→✘◆❺➁✉t③✖❺❻⑩✻♣❚✕✙④❱❷✮✍t✏❈♥❢✘✶⑩❘❷✙⑧❋⑥✖✕✙♣❱✉✑♣●➀❻⑧✖✇★✕❥❼✣④❱✓✑➀❻③➤✇✙♣❑⑧❾➌✙➍✖♣❱⑨→✘→✇✗✘✛✕✗✕✙❺➁✉❢❸✯✇✛➅t✕②♥✑✘✛❷✙✘❘➓↕④❱❷✙✘➐✇✙♣●⑨✶✘
①❱✘✛⑧✬✍t✏✔❷②⑧❬❺➁✕✒♣✬✇❥♣♦③✖✘✻⑥✖✕②♥s④●➓❅✕★❼✣④✬➏❢✍❦✏❈♥❢✘✛❷✙✘✠❼❈♣❱✇❥✘✛✉❢④✬✓❢❸❱♥➤✇②✓✑⑩✛⑩✛✘✻✇✙✇✾✕✙④✝❺✼③✖✘✛✉✯✕②❺➁➓↕⑧◗✏➲✓✑✉❢✉❋⑧
♣❱✇✾♣●✉☛♣❱③✑③✖❺✥✕✙❺➁q✬✘✠⑩❘❺❻⑥❢♥❢✘✻❷✾✓✑✇✗❺❻✉❢❸→✕②♥✑✘❁⑨→④✖③◗➾→♣❱③❢③❢❺✥✕✙❺➁④✬✉❬♠■♥✑♣❑q❱✘❁♣❱➀➁❷✙✘✻♣✬③✖⑧➇⑨✶✘✛✉✯✕②❺❻④❱✉❢✘✮③✸✍
➺❫✉❢✘✝③❢♣❑⑧s✕②♥❢✘✻❷②✘➊⑩✛♣●⑨✶✘➇✕★❼✣④➤➀❻④❱✉❢❸s⑩❘❺❻⑥❢♥❢✘✛❷◆⑨✶✘✻✇✙✇②♣❱❸❱✘✻✇✻➅❀✘✮♣❱⑩❹♥❽♣●r❦④❱✓❢✕➐✤➯ ✫✤✫ ✫☛➀❻✘❘✕✗✕✙✘✛❷❹✇
➀➁④✬✉❢❸✑➅➛❼✾❺➁✕②♥⑤✕✙♥❢✘↔✇✙♣●⑨✶✘◗❺❻✉✑③✖❺✼⑩✛♣❚✕✙④❱❷✝✖➎ ✱❫♠★❿❈➂❝➼ ✱➉➼✣➸€✥➣ ✎❫➈→✍➛✏❈♥❢❺✼✇♦③✖✘✻⑥✖✕②♥Ô④❱➓❫✕★❼✣④➦❼❈♣❱✇
✇✗✓✑⑩✻⑩❘✘✮✇②✇✗➓↕✓❢➀❻➀➁⑧➦❷✙✘✻♣✬③✸✍❅♠✧✕♦⑥❢❷②④❚q✬✘✻③➞✕✙④sr❦✘☛✕★❼✣④❶♣●✕✗✕②✘✻⑨✶⑥✖✕✙✇➇♣●✕◆✕✙♥❢✘➤✇②♣❱⑨✶✘➊⑨✶✘✻✇✙✇✙♣●❸❱✘✬➅✔④✬✉❢✘
♥✑♣❑q❋❺➁✉❢❸→⑨✶④❱❷✙✘✒❼■④✬❷✙③❋➋✱✇②⑥✑♣❱⑩✛❺➁✉❢❸→♣●✉✑③➊④●✕✙♥❢✘✛❷❈⑥❢✓✑✉✑⑩✴✕✙✓✑♣❚✕✙❺➁④✬✉➊✕✙♥✑♣●✉➊✕②♥✑✘❁④●✕②♥✑✘✛❷✮✍❢✏❈♥❢❺❻✇❈④✬r❋q✯❺➁➋
④❱✓✑✇②➀➁⑧➇❼❈♣❱✇❈♣◆❸❱❷✙✘✻♣●✕✣♥❢✘✻➀➁⑥❬❺❻✉✝✕✙♥❢✘❁③✖✘✛⑥✖✕✙♥✖➋✧❷②✘✮♣❱③✖❺❻✉❢❸✑✍✑➜■④✬➀▼✳✍ ✲t✍❋✏❈❺❻➀➁✕②⑨➇♣●✉❬❷②✘✮♣❱③♦✕②♥❢❺✼✇✾③✖✘✛⑥❢✕②♥
♣●✉✑③➊③✖✘✻③✖✓t⑩❘✘✻③✝✇✗④✬⑨→✘❫✤➯ ✫✤✫ ✫❁➀❻✘❘✕②✕②✘✛❷❹✇✣④●➓❀①✬✘✛⑧❱✴✍ ✆➒✘✛➙❋✕✣⑥❢❷✙④❱r✑➀➁✘✻✶⑨ ✵❋❸✬❺➁q✬✘✛✉✶✕②♥t♣❚✕✣✕②♥❢✘➉⑨➇♣❱⑩❹♥❢❺❻✉❢✘
⑥❢❷②④✖③✖✓t⑩❘✘✻③➤✕②♥❢❺✼✇➉①❱✘✻⑧❱➅€③✖✘❘✕✙✘✛❷✙⑨→❺❻✉❢✘◆✕②♥❢✘✶✇✗✕②❷✙✓✑⑩✴✕✙✓❢❷②✘→④●➓➄✕✙♥❢✘✶⑨➇♣❱⑩❹♥❢❺❻✉❢✘❱✍❦♠✱✉➤✕✙♥❢✘✶➀❻♣❱✉❢❸❱✓t♣●❸❱✘
④●➓☎✕②♥❢✘✒✕✙❺➁⑨✶✘✠♣●✉t③✝⑥❢➀✼♣❱⑩✛✘❁⑩❘❷✙⑧✯⑥❢✕✙♣●✉t♣●➀❻⑧❋✇✗✕✙✇❈✇②④❱✓❢❸✬♥✯✕✣✕✙④➦➌✗r❢❷✙✘✻♣❱①✶✕②♥❢✘✠✏✔✓❢✉❢✉❋⑧♦①✬✘✛⑧✖➏❢✍
➝➒➀❻➀✸✕②♥❢❺✼✇✾❼❈♣❱✇❈③✖④✬✉❢✘✒rt✘✛➓↕④❱❷✙✘❁♠❝♥✑♣✬③❬♣❱✉❋⑧✝③✖✘✻♣❱➀➁❺❻✉❢❸✯✇■❼✾❺➁✕②♥⑤➌✙✏➲✓❢✉✑✉✯⑧✖➏✑✍
➍❋④❱⑨✶✘→✕②♥❢❷✙✘✛✘✶⑨✶④❱✉✯✕✙♥✑✇✒➀❻♣●✕②✘✻❷✻➅❦✕②♥✑✘➇①❱✘✛⑧s✇★✕✙❺➁➀❻➀➄✓❢✉❋r❢❷✙④❱①❱✘✻✉❀➅✸➣➤✸♣ ★✷ ④✬❷✠➈→✍❀✌✎✍❀➣◗④❱❷✙❸✬♣❱✉❀➅
♥❢✘✻♣✬③➞④●➓❈✕②♥❢✹✘ ✾✟ ✘✻✇②✘✻♣❱❷✙⑩❹♥❽➍❋✘✮⑩✴✕②❺❻④❱✉➲➅➲❸✬♣❑q✬✘♦♣◗⑩❘④✬⑥✯⑧❶④●➓❈✕✙♥❢✘♦①❱✘✻⑧↔✕✙④➤⑨✶✘✝♣●✉t③➦✇②♣❱❺❻③✈➌✙➍✖✘✛✘
❼✾♥✑♣❚✕➒⑧✬④❱✓➊⑩✻♣●✉◗③✖④✶❼✾❺➁✕②♥❬✕②♥❢❺✼✇✙➏❢✍
✆➒④❚❼ ♣●✕✒⑨◆⑧➤⑥❢❷✙✘❘➋✱❿✣➀➁✘✛✕✙⑩❹♥❢➀❻✘✛⑧➤⑩✛❷②⑧❋⑥✖✕✙④❱❸❱❷❹♣●⑥✑♥❢❺❻⑩◆✇②⑩❹♥✑④✯④✬➀❅❺➁✺
✉ ☎❀④✬✉✑③✖④✬✉↔♠➉♥✑♣❱③s➀➁✘✮♣●❷✙✉❢✘✻③
✕②♥✑♣●✕❥⑧❱④✬✓☛⑩✻♣●✉◗✇②④❱⑨✶✘❘✕✙❺➁⑨✶✘✻✇➒❸❱✘❘✕❫❷②✘✮✇✗✓❢➀➁✕✙✇➒r✯⑧➊❼✾❷②❺➁✕②❺❻✉❢❸➇④✬✓✖✕❫♣➇⑩❘❺❻⑥❢♥❢✘✻❷✾✕②✘✛➙❋✕❥④❱✉➤♣✶⑥❦✘✛❷✙❺➁④✖③

♣●✉✑③s➀➁④❋④✬①✯❺❻✉❢❸➊➓↕④❱❷✒❷✙✘✛⑥❦✘✻♣❚✕❹✇✛✍✸♠❫❷②✘✮✇✗④✬➀➁q✬✘✻③☛✕✙④◗③✖④❬✕②♥❢❺✼✇✒❼✾❺✥✕✙♥➞④❱✉❢✘✶④❱❷✒⑨✶④❱❷✙✘→❺➁⑨✶⑥❢✓❢➀✼✇②✘✻✇✒④●➓
✕②♥❢✘◆①❱✘✛⑧✬✍t❿✣✓✖✕➉④❱✉◗❼✾♥✑♣●✕❫⑥❦✘✛❷✙❺➁④✖③✼◆✻ ♠✾♥✑♣✬③☛rt✘✻✘✛✉➤❸✬❺➁q✬✘✛✉➤✇②④❱⑨✶✘✠❺❻✉✖➓↕④❱❷✙⑨➇♣❚✕②❺❻④❱✉➤♣❱rt④✬✓✖✕❥✕✙♥❢✘
✽ ✹✮❙✥✳→✤✱❉✖✲✙❙✥❙✪✢✪✩✯✫

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€➹ Ò✱➴●Ð❾❊✛✩❋✳→Ò ❪✴❩
➀➁✘✛✕✗✕②✘✻❷✙✇➐④●➓❈✕②♥✑✘♦❺➁✉t③✖❺❻⑩✻♣❚✕✙④❱❷✮✍➲✏❈♥❢✘✛❷✙✘✝✇②✘✛✘✻⑨→✘✮③s✕②④➤r❦✘❬➾✬➽❬⑥t④✯✇②✇②❺➁r✑❺➁➀❻❺✥✕✙❺➁✘✮✇✒➓↕④❱❷➊➫❱➫➇④❱➓✣✕✙♥❢✘✻✇②✘
r❢✓✖✕➐④✬✉❢➀➁⑧➞➾●➥➊➓↕④❱❷✒✕✙♥❢✘♦➀✼♣❱✇✗✕✻✍➲➂❅✘✻❷②♥t♣●⑥✑✇➉♠✒✇✗♥❢④✬✓❢➀✼③↔✕✙❷②⑧s⑥t✘✻❷②❺❻④✖③❢✇❁④❱➓✾➾❱➥➊④✬❷◆➾❱➽❢✍✔➺❫❷❁❼✾♥❋⑧
✉❢④●✕➉✕②❷✙⑧◗rt④❱✕②♥➞♣❚✕✒④❱✉✑⑩✛✘◆r❋⑧◗❼✾❷✙❺✥✕✙❺➁✉✑❸✝✕✙♥❢✘◆❺❻⑨✶⑥❢✓❢➀✼✇✗✘✶④✬✉s♣♦⑥❦✘✛❷✙❺❻④❋③s④●➓❈➾●✁➥ ↔  ➾✬➽ ✩ ✄➽ ✂●✜➽ ✻
♠➒⑩✛♣●✉✆☎ ✕✒✇②♣❑⑧➊✕②♥✑♣●✕❫♠✾♥✑♣✬③◗⑨➐✓t⑩❹♥◗➓ ♣●❺➁✕②♥➤❺❻✉➤✕✙♥❢❺✼✇❥⑥❢❷✙④✖⑩❘✘✮③✖✓❢❷✙✘✠r❢✓✖✕➉♠❈✕②♥❢④✬✓❢❸❱♥✯✕❫❺➁✕✒rt✘✮✇★✕❫✕②④
✇✗✘✻✘✛⑨ r✑✓✑✇✗⑧✬✍✬➍❋④✒♠☎❼✾❷②④❱✕②✘❈④❱✓✖✕➄✕✙♥❢✘❈➔✑❷❹✇★✕➛❺❻⑨✶⑥❢✓❢➀✼✇✗✘✾❺❻✝✉ ✂❫❷②④❚❼➒✇☎④❱➓❦➀❻✘✛✉❢❸❱✕②♥♦✄➽ ❱✂ ➽❥♣❱✉✑③→➀➁④❋④✬①❱✘✻③
➓↕④❱❷❝❷✙✘✛✻ ⑥❦✘✻♣●✕✙✇■④●➓➲✇②♥❢④❱❷②✕❝⑥✑♣●✕✗✕✙✘✛❷✙✉✑✇➛④❱➓➲③✖④●✕❹✇■♣❱✉✑③♦⑩❘❷✙④✬✇✙✇②✘✻✇✻➅●q❱✘✻❷✗✕✙❺❻⑩✻♣●➀❢❷✙✘✛⑥❦✘✻♣●✕✙✇❝➓↕❷②④✬⑨➩❷✙④❚❼❾✕②④
❷②④❚❼❁✍
➝❥✇➉✘❘➙✖⑥❦✘✻⑩✴✕✙✘✻③↔✕②♥❢✘✻❷②✘→❼✣✘✛❷✙✘◆✉❢④❱✕✒✇②❺❻❸❱✉❢❺➁➔t⑩✛♣❱✉✯✕②➀❻⑧◗⑨✶♣❱✉❋⑧❱✍✸❿✣✓✖✕✒✕②♥❢✘✻✉s♠➒✉✑④●✕②❺✼⑩❘✘✮③s♣➊➀❻④●✕
④●➓❝❷✙✘✛⑥❦✘✻♣●✕✙✇➉④❱✉❶♣➊③✖❺✼♣●❸✬④❱✉✑♣❱➀▼✍❦♠✧✕❁✇✗✘✻✘✛⑨✶✘✻③➤✕②♥✑♣●✕✒♠❥❼■④✬✓❢➀❻③↔♥✑♣❑q❱✘◆❸❱④❱✕➉r❦✘❘✕②✕②✘✛❷✒❷✙✘✻✇②✓❢➀➁✕✙✇➉④❱✉
♣➇⑥t✘✻❷②❺❻④✖③☛④●➓❝✄➽ ✂❚➯✑✍t➍✖④♦♠✾❼✾❷②④❱✕②✘❁④✬✓✖✕➒✕②♥✑✘➐❺❻⑨→⑥✑✓❢➀❻✇②✘◆♣❱❸✬♣❱❺➁✉☛④❱✉☛✕✙♥✑♣❚✕❫⑥t✘✻❷②❺❻④✖③◗♣●✉✑③☛➓↕④✬✓❢✉✑③
⑥❢➀➁✘✮♣❱✇②❺➁✉✑❸❱➀❻⑧♦⑨➇♣●✉❋⑧♦❷✙✘✛⑥❦✘✻♣❚✕❹✇❈④●➓❅③✖④●✕②➋✧⑩✛❷②④✯✇②✇✣⑥✑♣●✕✗✕②✘✻❷②✉t✇❈④●➓❅➀➁✘✻✉❢❸●✕✙♥☛➽◆④❱✏❷ ✑✢ ✍
✏❈♥❢✘✛✉s♠➒✕②❷✙❺❻✘✻③❶♣✝⑥❦✘✛❷✙❺➁④✖③s④●➓✣➯✑➫❱➅t✕②♥✑❺❻✇✒r❦✘✛❺❻✉❢❸◗♣❬⑥❢❷②❺❻⑨✶✘➐➓ ♣✬⑩✴✕✙④❱❷✒④●➓✾✄➽ ✂❑➯t➅t❼✾❺➁✕②♥❶✘✛q✬✘✛✉
rt✘✛✕✗✕②✘✻❷❈❷②✘✮✇✗✓❢➀➁✕✙✇✻✍❋✏❈♥❢✘❫✓✑⑥✑✇✗♥✑④●✕■❼❈♣❱✇❝✕②♥t♣❚✕❝✕✙♥❢✘❫➔✑❷✙✇✗✕❈❺➁⑨✶⑥❢✓❢➀✼✇②✘❥④●➓➲✕②♥❢✘➉①❱✘✻⑧→❼❈♣❱✇■♣➐✇②✓❢⑨ ④●➓
✕★❼■④➇✇②✘✻➳✯✓❢✘✛✉t⑩❘✘✻✇✾✕②♥✑♣●✕➒♠■✉✑♣❱⑨✶✘✻✟③ ✞ ✸✒♣❱✉✑✟③ ✠ ✸❑➅✑④●➓➄③✖④●✕❹✇➒♣●✉✑③☛⑩✛❷②④✯✇②✇②✘✻✇✻✍✡✞ ✸➉❼❈♣❱✇❈⑥❦✘✛❷✙❺➁④✖③✖❺✼⑩
❼✾❺✥✕✙♥s⑥❦✘✛❷✙❺➁④✖③s➯✑➫✬☛✍ ✠ ✸➐❼❈♣❱✇➉r✑♣✬✇✗❺✼⑩✛♣❱➀➁➀❻⑧☛⑥t✘✻❷②❺❻④✖③✖❺❻⑩◆✕✙④✯④t➅€❼✾❺✥✕✙♥s⑥❦✘✛❷✙❺➁④✖③s➯✬➥✑✍❦❿✣✓✖✕❁❼✾♥❢✘✻❷②✘✮♣❱✇
✞ ✸❈⑨✶④❚q✬✘✻③→④❱✉➇④✬✉❢✘➒⑥❢➀✼♣❱⑩✛✘➒➓↕④❱❷❝✘✻♣❱⑩❹♥➇➀❻✘❘✕②✕②✘✻❷✻☞➅ ✠ ✸❈✇②④❱⑨✶✘❘✕✙❺➁⑨✶✘✮✇➛⑨✶④❚q❱✘✮③✶④❱✉➇④❱✉✑✘➒⑥❢➀✼♣❱⑩❘✘❫♣●✉✑③
✇✗④✬⑨→✘✛✕②❺❻⑨✶✘✻✇✾✇✗✕✙♣❑⑧❱✘✮③➊✇✗✕②❺❻➀❻➀▼✍
➝✣✕✾✕②♥❢❺✼✇❥✇✗✕✙♣❱❸❱✘✒✕②♥✑✘✠❼✾♥❢④❱➀❻✫✘ ✟✾✘✮✇✗✘✮♣●❷❹⑩❹♥☛➍❋✘✮⑩✴✕✙❺➁④✬✉ ✷★④❱❺❻✉❢✘✻③❬❺❻✉☛✕②④♦♣●✉t♣●➀❻⑧❋✇②✘❁✘✻♣✬⑩❹♥➊④❱✕②♥❢✘✻❷
❺➁⑨✶⑥❢✓❢➀✼✇②✘✝❺❻✉✬✕✙④s✌♣ ✞➲➋➡❼✾♥✑✘✛✘✛➀✣♣●✉✑③➃✌♣ ✠❈➋➡❼✾♥✑✘✛✘✛➀➡✍☎♠✱✉ ➌❹➜■④✖③✖✘✝❿✣❷✙✘✻♣❱①❱✘✛❷❹✇✙➏➊❺➁✕◆❺✼✇✠❷✙✘✻⑩✛④❱❷❹③✖✘✻③
✕②♥✑♣●✕■✕✙♥❢✍✘ ✞➲➋➡❼✾♥✑✘✛✘✛➀✼✇✻➅✬❺❻✉✝④✬❷✙③✖✘✻❷➛➓↕❷✙④❱⑨ ✕②♥✑✘❥➔✑❷❹✇✗✕■❺❻⑨→⑥✑✓❢➀❻✇②✘❫✕②④◆✕②♥❢✘❁➽❑✕✙♥❀➅✬♥t♣❱③♦⑥❦✘✛❷✙❺❻④❋③✑✇❝➯t➫❱➅
➥❢➫❱➅✸➾●➭✑➅❀✣➾ ✢✝♣❱✉✑③s➾❱➥❢➅❦❼✾♥❢❺❻➀➁✘→✕②♥✑✎✘ ✠❈➋✧❼✾♥❢✘✛✘✻➀❻✇➉♥✑♣✬③➤⑥❦✘✛❷✙❺➁④✖③❢✇➉➯✯➥❢➅❦✡➯ ❋✂ ➅❀➽❢➫❱➅✸➽●➥✝♣❱✉✑③s➽❱➭❢✍✸➝
⑨✶♣ ✷★④❱❷❁③✖❺✼✇②⑩✛④❚q❱✘✻❷②⑧◗❼❈♣❱✇➉✕✙♥✑♣❚✕❁✕✙♥❢✏✘ ❀✞ ➋✧❼✾♥❢✘✛✘✻➀❻✇✒⑨✶④❚q✬✘✻③➤❺❻✉➦✇★✕✙✘✛⑥❀✍✔➼➛❺➁✕②♥❢✘✻❷✠♣●➀❻➀➛⑨✶④❚q❱✘✻③↔④❱✉

④❱✉❢✘◆⑥❢➀❻♣✬⑩❘✘◆④❱❷✒♣●➀❻➀☎✇✗✕✙♣❑⑧✬✘✻③➤✇✗✕②❺❻➀➁➀➡✍✸✏❈♥❢✘✛⑧☛⑨✶④❚q❱✘✮③☛❼✾♥❢✘✛✉✑✘✛q❱✘✻❷➉♣❱✉❽➫❱➫✛✕②♥➤❼✾♥✑✘✛✘✛➀➄✇②♥❢④❚❼✣✘✻③◗♣
⑩❘❷✙④✬✇✙✇✛✖✍  ▼➂❅✘✛❷✙❺➁④✖③☛☞➥ ✖✂ ✍ ✂➒✏❈♥❢❺❻✇◆➫❱➫✛✕②♥☛❼✾♥❢✘✻✘✛➀☎⑨→④❚q✬✘✻③❬④❱✉◗④✬✉❢✘✠⑥❢➀✼♣❱⑩✛✘✠❼✾♥❢✘✻✉↔♣◗➫✮➾❚✕②♥◗❼✾♥❢✘✻✘✛➀➡➅
④●➓✸⑥t✘✻❷②❺❻④✖③ ✢❢➫✬➅❱✇✗♥✑④❚❼■✘✮③◆♣✠⑩✛❷②④✯✇②✇✻➅●♣●✉t③→✕②♥❢✘✠➫❑➾❑✕✙♥→❼✾♥✑✘✛✘✛➀t⑨✶④❚q❱✘✻③→④✬✉➇④❱✉❢✘✾⑥❢➀✼♣❱⑩✛✘❈➓↕④❱❷■✘✻♣❱⑩❹♥
➀➁✘✛✕✗✕②✘✻❷✻✍t✏❈♥❢✘✶➫❱➫❘✕✙♥❬♣❱✉✑③❶➫✮➾❚✕②♥❬❼✾♥❢✘✛✘✻➀❻✇❈❼✣✘✛❷✙✘❁⑩✛♣●➀❻➀❻✘✻③✝✕②♥❢✘◗➌②⑨→④❱✕②④✬❷✣❼✾♥✑✘✛✘✛➀✼✇✙➏❢✍
♠✱✉✈➌✴➜■④✖③✖✘♦❿✣❷②✘✮♣●①❱✘✻❷✙✇✙➏➊♠➉♣❱⑨ ✇✙♣●❺✼③s✕②④◗♥✑♣❑q✬✘→❼✣④❱❷✙①❱✘✮③↔④✬✓✖✕✠✕✙♥❢✘♦❼✾♥❢④✬➀➁✘➇④❱➓■✕✙♥❢❺❻✇➐r❋⑧
⑨➐⑧✖✇✗✘✻➀✥➓★➅€r❢✓❢✕❫✕✙♥✑♣❚✕❁❺✼✇❫♣❱✉↔✘❘➙❢♣❱❸❱❸❱✘✻❷✙♣●✕②❺❻④❱✉❀✍ ✆➒④●✕✙✘➐✕✙♥✑♣❚✕➉✕②♥✑✘◆➔✑➓ ✕②♥✑✞❀➋✧❼✾♥❢✘✛✘✻➀✔♥✑♣✬③➤⑥❦✘✛❷✙❺➁④✖③
➾●➥✶♣●✉✑③✝✕②♥✑✘✠⑩❘➀❻✓❢✘✒➓↕❷②④✬⑨ ✕②♥✑✘❁❺➁✉✑③❢❺❻⑩✻♣❚✕②④✬❷✾➀➁✘✛✕✗✕✙✘✛❷✾④●➓➛➾●➥→⑥❦④✬✇✙✇✗❺❻r❢❺❻➀➁❺➁✕②❺❻✘✻✇❈❼❈♣❱✇✾♣→q❚♣●➀❻❺✼③➊④✬✉❢✘❱✍
➂➛❷✙✘✻✇②✓❢⑨➇♣●r❢➀❻⑧✝❺➁➓➛♠❈♥✑♣❱③◗✉✑④●✕❥✉❢④❱✕②❺✼⑩❘✘✮③☛✕②♥❢✘→③✖❺✼♣●❸❱④✬✉✑♣●➀➲❷②✘✻⑥t✘✮♣❚✕✙✇❥♠❈❼■④✬✓❢➀❻③➤♥✑♣❑q❱✘✒✕✙❷②❺❻✘✻③
✕②♥❢✘✶⑨✶✘❘✕✙♥❢④✖③s♣❱❸✬♣●❺❻✉➤④✬✉➤✕②♥✑✘➇➾●✉✑③✸➅✸➥●❷❹③✸➅€➯●✕✙♥❀➅✸♣●✉✑③❶➽❑✕✙♥s❺❻⑨✶⑥❢✓❢➀✼✇✗✘✮✇✛✍✸➝➒✉t③↔④✬✉➤✕②♥✑✘◆➔✑➓ ✕②♥
❺✥✕❥❼✣④❱✓✑➀❻③➊♥✑♣❑q❱✘✒❼✣④❱❷✙①❱✘✮③✸➅❋✕②♥❢✘✒➔✑➓ ✕②♥✒➲✞ ➋➡❼✾♥❢✘✻✘✛➀✸♥✑♣❑q❋❺❻✉❢❸➇⑥❦✘✛❷✙❺➁④✖③◗➾●➥✑✍✖♠✣✇②✓❢⑥❢⑥❦④✬✇②✘❁♠■❼✣④❱✓✑➀❻③
♥✑♣❑q❱✘➉rt✘✻✘✛✉◗✇✙♣●❺✼③♦✕✙④→♥t♣❑q❱✘➉r❢❷②④✬①❱✘✻✉♦✕②♥✑✘❁①❱✘✛⑧✝r✯⑧✝⑥❢✓❢❷✙✘✒♣❱✉✑♣●➀❻⑧✯✕②❺✼⑩❥❷✙✘✻♣✬✇✗④✬✉❢❺❻✉❢❸✑✍✖➝❥✇❈❺➁✕➒❼❈♣❱✇
♠❁❼✣♣✬✇❁✕②♥✑④❱✓❢❸✬♥✬✕◆✕②④➤♥t♣❑q❱✘✝♣➤✇✗✕②❷✙④❱①✬✘♦④●➓➒✓✑✉✑③✖✘✻✇②✘✛❷✙q❱✘✮③➞❸❱④❋④✖③➞➀➁✓t⑩❹①❦✍❅✏❈♥❢✘✻❷②✘♦⑨◆✓✑✇✗✕◆r❦✘➊♣
⑨→④✬❷✙♣❱➀€❺➁✉❬✕②♥✑❺❻✇✻✍
➝ ⑩❘❷✙⑧❋⑥✖✕②④✬❸❱❷❹♣●⑥❢♥❢✘✻❷❈⑨→❺❻❸❱♥✯✕❥⑩✛❷②❺➁✕②❺✼⑩❘✔❺ ✓✛✘❁✕✙♥❢✘◆➈➉✘✻❷②⑨➇♣●✉✕✞➲➋➡⑥✑♣●✕✗✕✙✘✛❷✙✉✑✇✾❼✾♥❢❺✼⑩❹♥➤⑩❘④✬✉✬✕❹♣●❺❻✉❢✘✻③
✕②④❋④♦⑨➇♣●✉❋⑧☛✇✗✘✮➳✬✓✑✘✛✉✑⑩✛✘✻✇✾④❱➓➄➥♦④❱❷➒⑨✶④❱❷✙✘➐③✖④❱✕✙✇✾④✬❷❫➥✶④✬❷❥⑨✶④❱❷✙✘✠⑩❘❷✙④✬✇✙✇✗✘✮✇✛✍✑♠✱✉☛✕②♥❢✘✠❷✙✘✻✇②✓❢➀➁✕②❺❻✉❢❸
✞❀➋✧①❱✘✛⑧☛⑨✶④✬✇✗✕✒④●➓➛✕✙♥❢✘✻✇②✘→✇②✘✻➳✯✓❢✘✻✉✑⑩❘✘✮✇❥❼✣✘✛❷✙✘◆✇✗✕②❷✙✘❘✕❹⑩❹♥❢✘✻③↔④❱✓✖✕➉✕②④❬❸❱❷✙✘✻♣●✕②✘✻❷❥➀❻✘✛✉❢❸❱✕②♥✑✇✻✍✸➎➒✘✛✉t⑩❘✘
❺➁✉➤♣➇①✬✘✛⑧➊❺➁⑨✶⑥❢✓❢➀✼✇②✘➐✇✗✘✮➳✯✓❢✘✛✉✑⑩✛✘✻✇✾④❱➓❅➔✑q❱✘✠rt♣❱✇②❺❻⑩❁✇②⑧❋⑨➐r❦④❱➀✼✇✾❼■✘✻❷②✘✠✇②❺❻❸❱✉❢❺➁➔t⑩✛♣❱✉✯✕②➀❻⑧✝④●➓ ✕✙✘✛✉◗✕✙♥❢✘
⑩❘④❱❷✙❷✙✘✻✇②⑥t④✬✉✑③✖❺❻✉❢❸➤⑥✑♣❱❷✗✕✶④●➓➒✕✙♥❢✟✘ ✞❀➋✧❼✾♥❢✘✛✘✻➀▼➅❅④❱❷◆✕②♥✑✘❬❷✙✘✛q✬✘✛❷❹✇✗✘♦✕②♥❢✘✻❷②✘✻④●➓★✍➄✏❈♥❢✘☛⑩❘❷✙❺✥✕✙❺❻⑩➊⑨➐✓✑✇✗✕
⑥t④✬❺➁✉✯✕✾④❱✓✖✕✾✕★❼✣④→❸❱❷❹♣❑q❱✘❥✘✻❷②❷✙④❱❷❹✇✻➅❱➔✑❷❹✇✗✕✣✕✙♥❢✘✒⑥t④❋④✬✖❷ ✠❈➋➡⑥✑♣●✕✗✕✙✘✛❷✙✉✑✇❈♣●✉✑③❬✇✗✘✮⑩❘④✬✉✑③♦✕✙♥❢✘❁✇✗✘✻✉✑③✖❺❻✉❢❸
④●➓➛♣✶➀➁④✬✉❢❸♦③✖✘✻⑥✖✕②♥◗④❱➓☎✕★❼✣④✑✍t➼➛❺➁✕②♥❢✘✻❷➒✘✛❷✙❷②④✬❷✾❼✾❺✥✕✙♥❢④❱✓❢✕➒✕②♥❢✘➐④●✕②♥✑✘✛❷➒✕✙♥❢✘◆➈➉✘✻❷②⑨➇♣●✉t✇✾❼■④✬✓❢➀✼③➊♠
✗ Ò☎✰✬✹✮❉✖✲✾✩✬✹➉✹✮✩✬✲✾✢✪✤❝✫✻✹✮✢✪✩✯✫✒✦★✹✒❊✻✤✱➬✠➷➛✰●▲➐Ò☎✳✬✢✥✳✬✩✑Õ ✦➛✭✬✤✱✲➒❊➉❮❹✹✻✿❁❉✯✭✬✦★✲②✷✴Ï

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✙❪ ✃ ❖❾Ï❋➶✣Ï❋➶❦✭✬✦✱✦★✲
✕②♥❢❺❻✉❢①◗♥✑♣❑q✬✘✠❸❱④❱✕➉♣❑❼❈♣❑⑧➊❼✾❺➁✕②♥❀✍✸❿✣✓✖✕➉✕②♥❢✘◆✕★❼✣④➇✕②④✬❸❱✘❘✕✙♥❢✘✛❷➉❸✬♣❑q✬✘➐♣❑❼❈♣❑⑧♦✕②♥✑✘→✇✗✕②❷✙✓✑⑩✴✕✙✓❢❷✙✘➐④●➓
✕②♥❢✘❁⑨➇♣❱⑩❹♥✑❺➁✉❢✘✬✍
✌✂❺✥✕✙♥➃④❱✓✑❷➐①❋✉❢④❚❼✾➀❻✘✻③✖❸✬✘♦④●➓✾✕✙♥❢✘➊⑨➇♣✬⑩❹♥❢❺➁✉✑✘✝❼✣✘➊⑩❘④✬✓❢➀✼③➦❼■④✬❷②①s④❱✉➃✇②④❱⑨✶✘➊①❱✘✛⑧✖✇✠➓↕❷②④✬⑨
✇✗♥❢④✬❷✗✕✙✘✛❷❁③✖✘✻⑥✖✕②♥✑✇✻✍➲✌❶✘♦③✖❺✼✇②⑩✛④❚q❱✘✻❷②✘✮③◗✕②♥t♣❚✕✠❺❻✉s✕✙♥❢✘➇⑥✑♣✬✇★✕❁✕✙♥❢✘✛❷✙✘✶♥✑♣❱③❶r❦✘✛✘✛✉➦♣☛⑩❹♥✑♣❱✉❢❸❱✘✶④●➓

❼✾♥❢✘✛✘✻➀✥➋✧⑥✑♣❚✕②✕②✘✻❷②✉✑✇❈④✬✉✑⑩❘✘❁♣→⑨✶④❱✉✯✕②♥➲✍
♠✧✕❈❼❈♣❱✇✣✘✮♣●❷✙➀➁⑧➇❺❻✉➞➫✻➭●➯❋➾✒✕✙♥✑♣❚✕➒❼✣✘❫❸✬④●✕➒♣●✉❬④❱⑥✑⑥t④✬❷✗✕✙✓❢✉❢❺➁✕★⑧➇✕②④➇♣❚✕②✕✙♣✬⑩❹①♦⑩❘✓❢❷✙❷②✘✻✉✯✕■✕✙❷✙♣●➧➇⑩❱✍
✏❈♥❢✘✛✉✝♣➐q❋✓❢➀➁✉✑✘✛❷❹♣●r❢➀❻✘❫③✖✘✻⑥✖✕②♥❬⑩✛♣❱⑨→✘❥❺➁✉❀✍❋♠✧✕❈❼✣♣✬✇➛❷✙✘✻♣✬③➇♣●✉✑③➇⑧❋❺❻✘✛➀✼③✖✘✻③➊♣●r❦④❱✓✖✕➉➫ ✫✤✫ ✫✒➀❻✘❘✕✗✕✙✘✛❷❹✇
④●➓€①❱✘✛⑧✬✍●♠❅♥✑♣❑q❱✘✾♣✒q❚♣●❸✬✓❢✘✾⑨✶✘✛⑨✶④❱❷✙⑧➐④❱➓€♣❁③❢✘✛⑥✖✕✙♥➇④●➓❀➥❁♣❚✕➄✕✙♥❢❺❻✇➛✕②❺❻⑨✶✘❱➅✬♣❱✉✑③→✕②♥✑❺❻✇➄⑨➇♣❑⑧◆♥✑♣❑q❱✘
rt✘✻✘✛✉☛❺✥✕✮✍
❽❜✯❜ ✝➄✄✐ ✂ ✑➦❡■❛ ✐✸❤❥❞❢✄❞ ✡➲❛■❜❽❜✖✄❞ ✝✆☎ ✐
✏❈♥❢✘➤➫ ✫✤✫ ✫❬➀❻✘❘✕✗✕✙✘✛❷❹✇✠④❱➓❈✉✑✘✛❼➑①❱✘✻⑧↔⑥❢❷✙④❚q❱✘✮③❶♣◗③❢❺❻✇✙♣●⑥❢⑥❦④❱❺❻✉✯✕②⑨✶✘✛✉✯✕✮✍➲✌❶✘➊③✖❺✼✇②⑩✛④❚q❱✘✻❷②✘✮③↔➀✼♣❚✕✙✘✛❷
✕②♥✑♣●✕✣✕✙♥❢✘❁➈➉✘✛❷✙⑨✶♣❱✉✑✇✣♥✑♣❱③➊⑩❘④✬❷②❷✙✘✻⑩❘✕②✘✻③➇✕②♥❢✘✻❺➁❷ ✠❈➋✧✘✛❷✙❷②④✬❷✻✍❋➍❋④➐✕✙♥❢✘✒⑨✶✘❘✕②♥✑④❋③✝✕②♥t♣❚✕❈♥✑♣❱③✝rt✘✻✘✛✉
✇✗④➇✇②✓✑⑩✛⑩✛✘✻✇✙✇★➓↕✓❢➀✸❼✾❺➁✕②♥◗✖➎ ✱❫♠★❿✣➂■➼ ✱➉➼✣➸€➣ ✎➉➈ ③✖❺✼③❬✉❢④●✕✾❼✣④❱❷✙①€✍
✏❈♥❢✘✛✉⑤❼✣✘◗❷②✘✮⑩❘✘✛❺❻q❱✘✮③⑦♣➞✉✑✘✻♣●❷②➋✱③✖✘✛⑥✖✕✙♥❀➅➄✕★❼✣④➦⑨✶✘✻✇✙✇②♣❱❸❱✘✻✇→❼✾♥❢④✯✇✗✘◗❺❻✉✑③✖❺✼⑩✛♣●✕②④✬❷✙✇➇♣❱❸❱❷✙✘✛✘✻③
❺➁✉Ô♣❱➀➁➀❫r❢✓✖✕➊④✬✉❢✘➤➀❻✘❘✕②✕②✘✛❷✮➅➛✕✙♥✑♣❚✕❬➀➁✘✛✕✗✕✙✘✛❷➊⑩✛④❱❷✙❷②✘✮✇✗⑥❦④❱✉t③✖❺➁✉✑❸s✕✙④➃♣ ✞➲➋➡❼✾♥❢✘✻✘✛➀➡✍❝♠➇♣❱③❢q❱④✖⑩✛♣●✕②✘✻③
♣●✉❽♣❚✕②✕②✘✻⑨→⑥❢✕✠✕②④➤❷✙✘✻♣✬③s✕②♥❢❺✼✇✠✘✻q❱✘✛✉❶✕✙♥❢④❱✓❢❸✬♥➞✕②♥❢✘✝❷②✘✮♣❱③✖❺❻✉❢❸◗❼✣④❱✓❢➀✼③❶♥✑♣❑q❱✘✶✕✙④➤rt✘♦➓↕❷②④✬⑨ ➯
❺➁⑨✶⑥❢✓❢➀✼✇②✘✻✇❀④✬✉❢➀❻⑧❱✍✻➎❥④❚❼■✘✻q❱✘✻❷€✕②♥❢✘✣③✖❺✥➻€✘✛❷✙✘✛✉t⑩❘✘➛r❦✘❘✕★❼✣✘✛✘✻✉✒✕②♥❢✘➄✕★❼✣④➒①✬✘✛⑧✖✇✸❼✣④❱✓❢➀✼③➉rt✘■⑥t✘✻❷②❺❻④✖③✖❺❻✞⑩ ✝
♣❚➓ ✕②✘✻❷➛✇✗✓❢➧➇⑩✛❺➁✘✻✉✯✕❅❺❻✉❢❺➁✕②❺✼♣●➀✑✇②✓✑⑩✻⑩❘✘✻✇✙✇✔✕②♥❢✘✾⑨✶✘✮✇②✇✙♣●❸✬✘✻✇❅⑩❘④✬✓❢➀❻③◆r❦✘➒✇✗④✒⑩❘④✬❷②❷✙✘✻⑩❘✕②✘✻③◆♣❱✇☎✕✙④➉r❦✘✾❷✙✘✻♣❱③
♣❱✇➉♣➇✕②❷✙✓❢✘✶③✖✘✛⑥❢✕②♥❀✍✸♠✧✕✒❼✣♣✬✇❥♣➊q❱✘✻❷②⑧☛③✖❺➁➧➇⑩✛✓❢➀➁✕➉✕❹♣❱✇②①☛❷②✘✮➳✬✓✑❺➁❷✙❺➁✉✑❸➊✇②①✯❺❻➀❻➀➁✘✮③◗➀➁❺❻✉❢❸✬✓❢❺❻✇✗✕✙✇✻✍❀➍❋✓✑⑩❹♥
⑥t✘✻④❱⑥❢➀❻✘✶✘❘➙✖❺❻✇✗✕②✘✮③s♣●✕✠❿✣➂➚♣❱✉✑③s✇②④❱⑨✶✘✶④●➓■✕②♥❢✘✻⑨ ✕✙♣✬⑩❹①❋➀➁✘✮③➤✕✙♥❢✘➇✉❢✘✻♣❱❷❁③✖✘✛⑥✖✕✙♥❀✍➲✏❈♥❢✘✻⑧➤❷✙✘✻♣❱③
❺✥✕◆♣❱✉✑③➞❸❱④❱✕❁✕②♥❢✘✝①❱✘✛⑧✬➅❀❼✾❺➁✕②♥➦✘❘➙❋✕✙❷✙♣☛❺❻✉✖➓↕④❱❷✙⑨➇♣❚✕✙❺➁④✬✉➞♣❱rt④✬✓✖✕❁✕②♥✑✘♦④●➻❦➋✧✇②✘❘✎✕ ✞❀➋✧❼✾♥❢✘✛✘✻➀▼✍➲✏❈♥t♣❚✕
❼✣♣✬✇➛➥ ✫➉④❱❷■✇✗④❁⑥❦④✬✇✙✇✗❺❻r❢❺❻➀➁❺➁✕②❺❻✘✻✇➄➓↕④❱❷❝❺➁✕✙✇➛⑥✑♣❚✕②✕②✘✛❷✙✉➇④❱✉✑➀➁⑧→♣➉➓↕✘✛❼⑤rt✘✻❺➁✉✑❸✠⑥❢➀✼♣●✓✑✇②❺➁r✑➀➁✘✬✍●✌✂❺✥✕✙♥➇✕②♥t♣❚✕
✘❘➙❋✕②❷❹♣→❺➁✉✖➓↕④✬❷②⑨➇♣●✕②❺❻④❱✉❬❺✥✕➒❼❈♣❱✇✣⑥❦④✬✇✙✇✗❺❻r❢➀❻✘✒✕②④➇♣●✉✑♣❱➀➁⑧✖✇②✘❥✕✙♥❢✘❁①❱✘✻⑧❱✍
♠✧✕❀❼✣♣✬✇❀➝➒➀✼♣●✉❁✏✔✓❢❷②❺❻✉❢❸✾❼✾♥❢④✾✉✑④●✕❀➀❻④❱✉❢❸➒♣●➓ ✕②✘✛❷✙❼❈♣●❷❹③❢✇✸✇✗④✬➀➁q✬✘✻③❥✕②♥❢✘❝⑥❢❷②④✬r❢➀❻✘✛⑨Ô④❱➓✖♣❱✉✑♣●➀❻⑧✖✇✗❺❻✉❢❸
♣✶➀➁✘✻✉❢❸●✕✙♥❬④❱➓☎①✬✘✛⑧➊④❱r✖✕❹♣●❺❻✉❢✘✻③➊➓↕❷✙④❱⑨ ♣❱✉➊④✬❷✙③❢❺➁✉✑♣❱❷②⑧➊③✖✘✛⑥✖✕✙♥❀✍t➎❥✘❁❼■④✬✓❢➀✼③❬♣✬✇②✇②✓❢⑨✶✘✒✕②♥✑✘✒➔✑❷✙✇✗✕
✕★❼■④➦✇②⑧✯⑨◆rt④✬➀❻✇✶❺❻✉❾✕②♥❢✌✘ ✞ ✸ ⑥✑♣❚✕②✕②✘✻❷②✉❾✕②④➞r❦✘ ✲ ✱➐➅➛④❱❷➇⑥❦✘✛❷✙♥✑♣●⑥t✇ ✲ ✲❋✍➛✏❈♥✑✘◗⑥t④✯✇②✇②❺➁r✑❺➁➀❻❺✥✕✙❺➁✘✮✇
✱ ✲➊♣●✉✑③ ✱✓✱ ♣❱❷②✘✶✉❢④❱✕❁❸❱✘✛✉❋✓❢❺❻✉❢✘✶④●✕✙♥❢✘✛❷✠⑩❹♥✑④❱❺✼⑩❘✘✻✇✒✇②❺➁✉t⑩❘✘→✕②♥❢✘➇❷✙✘✛q✬✘✛❷❹✇②♣❱➀✔④❱➓✣♣❱➀➁➀ ✞Ô♣❱✉✑③ ✠
⑥✑♣❚✕②✕②✘✛❷✙✉✑✇❅➀❻✘✻♣❑q✬✘✻✇✔✕②♥❢✘✾①✬✘✛⑧✠✓✑✉✑♣●➀➁✕②✘✻❷②✘✮③✸✍✬➍❋✓❢⑥✑⑥t④✯✇✗✘❈♥❢✘➒♣✬✇②✇②✓❢⑨✶✘✻③ ✲ ✱◆✍●✏❈♥❢✘✛✉➇♣❚✕➛✘✮♣❱⑩❹♥→❷②✘✻⑥✖➋
✘❘✕②❺➁✕②❺❻④❱✉✶④❱➓❦✕✙♥✑♣❚✕➛⑥t♣●❷②✕➛④●➓❦✕②♥❢✖✘ ✞ ✸✣⑥✑♣❚✕②✕②✘✻❷②✉✶④❱✉✑✘❈⑩✻♣●✉➇③✖✘✮③✖✓✑⑩❘✖✘ ✠ ✸❈♣❱✇❅✘✻❺✥✕✙♥❢✘✛❷ ✲ ✱➐➅✣✱ ✲❋➅✣✱ ✱
④❱❷ ✲ ✲✖✍✖♠✧➓☎④✬✉❢✘✒④●➓☎✕②♥❢✘❁➀✼♣❱✇✗✕✾✕★❼✣④→♥✑✘❁⑥❢❷②④❚q❋❺✼✇✗❺❻④❱✉t♣●➀❻➀➁⑧➇♣❱✇✙✇②✓❢⑨✶✘✻③ ✠ ✸❫♥✑♣❱③❬✉❢④❱✕➒⑨✶④❚q❱✘✻③❀✍❢➎➒✘
✕②♥❢✘✻✉→❸✬④●✕☎✕②♥❢✘➒⑩✛④❱❷✙❷②✘✮✇✗⑥❦④❱✉t③✖❺➁✉✑❸❫③✖④✬✓❢r❢➀❻✘❘✓✕  ▼➾❫⑥❦④✬✇✙✇✗❺❻r❢❺❻➀➁❺➁✕②❺❻✘✻✇ ✂☎❺❻✉➐✕✙♥❢✘✾④●✕✙♥❢✘✛❷ ✞❀➋✧❼✾♥❢✘✻✘✛➀✼✇➄♣●✉✑③
❷②✘✻⑥t✘✮♣❚✕②✘✮③◗❺➁✕❫✕✙♥❢❷②④✬✓❢❸❱♥➤✕②♥❢✘→①❱✘✻⑧☛♣✬⑩✛⑩✛④❱❷❹③✖❺➁✉✑❸✶✕②④➊✕②♥❢✘ ✞❀➋✧⑥t✘✻❷②❺❻④✖③❢✇✻✍t➝➒✉t③↔✇②④✝④❱✉➲➅❦⑨➇♣❱①✯❺❻✉❢❸
♣❱✇❝➓↕✘✛❼❇⑩✛④❱❷✙❷②✘✮⑩✴✕②❺❻④❱✉t✇❝♣❱✇✣❼✣✘✛❷✙✘❥✉❢✘✮⑩❘✘✮✇②✇✙♣●❷✙⑧➐➓↕④✬❷✣⑩✛④❱✉✑✇②❺✼✇★✕✙✘✛✉✑⑩✛⑧❱✍✯♠✧✕❈❺✼✇✣♣➐⑨✶✘❘✕✙♥❢④✖③♦❷✙✘✻➳✯✓❢❺❻❷②❺❻✉❢❸
❸❱❷✙✘✻♣❚✕❈♣●❷②✕②❺✼✇★✕✙❷②⑧✬✍✬♠❝✉❢✘✛q✬✘✛❷✣✓✑✇✗✘✮③♦❺➁✕❈✇②✓✑⑩✻⑩❘✘✻✇✙✇✗➓↕✓❢➀➁➀❻⑧➇⑨➐⑧✖✇②✘✛➀➁➓★✍✖❿■✓❢✕■✕✙♥❢✘✛❷✙✘❫❼✣✘✛❷✙✘❥④❱✕②♥❢✘✻❷✙✇■❼✾❺➁✕②♥

❼✾♥❢④❱⑨ ❺➁✕❥❼✣④❱❷✙①❱✘✮③➇❼■✘✻➀➁➀➲✘✛✉❢④✬✓❢❸❱♥❀✍
✌s✘❬❼■✘✻❷②✘➊❷②✘✮♣❱③✖❺❻✉❢❸s④❱✉❢➀❻⑧➞✕②♥❢④✯✇✗✘➊⑨✶✘✻✇✙✇②♣❱❸❱✘✻✇➐✕②♥t♣❚✕→✕②♥❢✘◗➈➉✘✛❷✙⑨➇♣●✉➃④✬⑥t✘✻❷✙♣●✕②④✬❷✙✇➐❼■✘✻❷②✘
⑩✛♣●❷✙✘✛➀❻✘✻✇✙✇◆✘✛✉❢④✬✓❢❸❱♥➦✕✙④❶✇②✘✛✉t③❽❺❻✉❾③✖✘✻⑥✖✕②♥⑦④❱❷✶✉❢✘✮♣●❷②➋✧③✖✘✻⑥✖✕②♥➲✍☎✏❈♥✑♣●✕→❼❈♣❱✇➐✕②④❋④s➓↕✘✛❼ ✕②④➞✇②♣●✕✗➋
❺❻✇✗➓↕⑧✝❿✣➀➁✘✛✕✙⑩❹♥❢➀❻✘✛⑧ ☎ ✇■⑩✛✓✑✇✗✕②④❱⑨✶✘✻❷✙✇✻✍❋✌s✘✒➀❻✘✻♣●❷✙✉❢✘✮③➇♥❢④❚❼✣✘✛q❱✘✻❷➛✕✙④→✓t✇✗✘➉①❋✉❢④❚❼✾✉✝❼✾♥❢✘✻✘✛➀➁➋➡⑥t♣❚✕✗✕✙✘✛❷✙✉✑✇
✕②④❇r✑❷②✘✮♣●①❇⑨✶✘✮✇②✇✙♣●❸✬✘✻✇◗✉❢④❱✕s❺❻✉ ③✖✘✛⑥❢✕②♥❀✍❁❿❈♣❱✇②❺❻⑩✻♣●➀❻➀➁⑧✈♣Ô⑩❘④✬⑨✶⑨→④✬✉❢➀❻⑧➢④✖⑩✛⑩✛✓❢❷✙❷②❺❻✉❢❸ ➌②⑩✛❷②❺❻r✑➏
➀➁❺❻①❱✘✒➍✖✞➂ ✟✂✎➉➜✣➎ ✆✰❫✎ ➣➤➣➤➼✞❇
✟ ④❱❷✾➺➉❿✣➼ ✟✠✟❁➺➉➣➤➣➤✰
➝ ❫✆ ➵✒➺➉➭❱✌Ô➼❝➎ ✟➒➣➤➝❥➜✣➎❥✏❾❼✣④❱✓❢➀✼③➇r❦✘
➌②③✖❷❹♣●❸✬❸❱✘✻③✑➏❢➅✮✕②♥✑♣●✕■❺✼✇❅✕②❷✙❺❻✘✻③✶❺❻✉♦④❱✉❢✘✾⑥❦④✬✇②❺➁✕②❺❻④❱✉♦♣❚➓ ✕✙✘✛❷✣♣●✉❢④❱✕②♥❢✘✻❷➛✓❢✉✯✕②❺❻➀t♣❁⑥✑➀❻♣❱✓✑✇✗❺❻r❢➀❻✘➒✇★✕✙❷②✘✛✕✙⑩❹♥
④●➓➛①❱✘✻⑧➊❼❈♣❱✇➒④❱r✖✕❹♣●❺❻✉❢✘✻③✸✍❦♠✧✕❫❼❈♣❱✇➒⑥❢➀❻♣❱✓✑✇②❺➁r❢➀❻✘➐❺➁➓❝✇②④❱⑨✶✘✠⑥❦④✬✇②❺✥✕✙❺➁④✬✉✑✇➒④❱➓➄✕②♥❢✎✘ ✞❀➋✧❼✾♥❢✘✛✘✻➀❻✇❥❸✬♣❑q❱✘
 

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⑥❢➀❻♣❱✓✑✇②❺➁r❢➀❻✘ ✠✂⑥✑♣●✕✗✕✙✘✛❷✙✉✑✇✛➅✬❺▼✍ ✘❱✍❻➅❱✉✑④●✕❝✕✙④❋④✠⑨➇♣●✉❋⑧◆④✖⑩✻⑩❘✓❢❷✙❷②✘✻✉✑⑩❘✘✮✇❅④●➓ ✲ ✱✎✲➉④❱❷ ✱ ✲✼✱◆✍✬♠✱✉➇⑥✑❷✙♣✬⑩✴➋
✕②❺✼⑩❘✘❁♣❚✕✾➀❻✘✻♣❱✇✗✕❈④❱✉❢✘ ✞❀➋✧❼✾♥❢✘✻✘✛➀€♥✑♣❱③✝✕②④✶♥✑♣❑q✬✘❫♣→①❋✉❢④❚❼✾✉➊✇②✘❘✕②✕②❺❻✉❢❸✑➅❋✕✙♥✑♣❚✕✾❺✼✇❈♥✑♣❑q❱✘❥✕②♥❢✘❁✇✙♣●⑨✶✘
❺➁✉✑③❢❺❻⑩✻♣❚✕②④✬❷❈➀➁✘✛✕✗✕②✘✻❷➒♣❱✇❈❺❻✉❬✇②④❱⑨✶✘✒⑨✶✘✻✇✙✇②♣❱❸❱✘✒♣●➀❻❷②✘✮♣❱③✖⑧✶❷✙✘✻♣✬③✸✍✑➍❋④◆✕②♥❢✘❁⑨✶④❱❷✙✘➉⑨→✘✮✇②✇✙♣●❸✬✘✻✇■✕②♥t♣❚✕
❼■✘✻❷②✘✒❷✙✘✻♣❱③❀➅✬✕✙♥❢✘❁✘✻♣✬✇✗❺❻✘✛❷✾❺➁✕➒r❦✘✻⑩✛♣❱⑨✶✘❫✕✙④➇❷②✘✮♣❱③✝④●✕②♥✑✘✛❷❹✇✛✍
♠✧✕❈❼❈♣❱✇❈✘✻q❱✘✻✉✝➓↕④✬✓❢✉✑③❬⑥t④✯✇②✇②❺❻r❢➀➁✘➉✕✙④→r✑❷②✘✮♣●①✶✕②♥✑✘❁❼✾♥❢✘✛✘✻➀✥➋✧⑥✑♣❚✕②✕②✘✻❷②✉✑✇✣➓↕④✬❷➒♣→⑨→④✬✉✯✕②♥➊➓↕❷②④✬⑨
❺➁✉✑③❢❺❻⑩✻♣❚✕②④✬❷✙✇❈♣❱➀➁④✬✉❢✘❱➅✯✘❘➙✖⑥❢➀❻④❱❺➁✕②❺❻✉❢❸✶✇★✕✙✘✛❷✙✘✛④●✕★⑧❋⑥❦✘✻③✝rt✘✻❸❱❺❻✉❢✉❢❺❻✉❢❸✬✇❈♣●✉t③✝❺❻✉✖➓↕④❱❷✙⑨➇♣❚✕✙❺➁④✬✉♦➓↕❷✙④❱⑨ ❺❻✉✖➋
③✖❺❻⑩✻♣❚✕✙④❱❷❹✇✔♣✬✇➲✕✙④❫❼✾♥✑❺❻⑩❹♥→❼✾♥❢✘✛✘✻➀❻✇☎❺❻✉◆❼✾♥✑❺❻⑩❹♥◆⑨→✘✮✇②✇✙♣●❸✬✘✻✇✔♥✑♣❱③➐✕②♥✑✘✣✇✙♣●⑨✶✘❈✇✗✘✛✕✗✕②❺❻✉❢❸t✍❚♠❀❷②✘✻⑨✶✘✛⑨→➋
rt✘✻❷❁✕②❷✙⑧❋❺➁✉❢❸☛✕✙♥❢❺✼✇✠⑨✶✘❘✕✙♥❢④✖③➞⑨➐⑧✖✇✗✘✻➀✥➓★➅➲❸❱✘❘✕②✕②❺❻✉❢❸➤✇②④❱⑨✶✘➇❺➁✉✑❺✥✕✙❺❻♣❱➀■✇②✓✑⑩✛⑩✛✘✻✇✙✇✒r❢✓✖✕◆✇②④❋④❱✉➞➀➁④✯✇✗❺❻✉❢❸
⑩❘④❱✉✯✕✙❷②④✬➀▼✍❑✏❈♥❢✘✛✉♦➜✣♣●⑥❢✕✻✸✍ ✲✑✍❚➣➦✍❚✌✂⑧❋➀❻➀➁❺❻✘■✕②❷✙❺➁✘✮③✸✍❚♠✱✉◆⑩✛❺➁q❋❺❻➀✖➀➁❺➁➓↕✘❈♥❢✘■✘✮③✖❺➁✕②✘✻③➐✕②♥✑✘➒➺❥➙❋➓↕④✬❷✙✫③ ☎✔♣❚✕✙❺➁✉
➵❥❺✼⑩✴✕✙❺➁④✬✉✑♣●❷✙⑧❱✍✔➌②✏❈♥❢❺✼✇➛❺✼✇ ✷★✓t✇★✕■✕②♥❢✘✞✷★④❱r➇➓↕④✬❷■♣✠➀❻✘❘➙✖❺✼⑩❘④✬❸❱❷❹♣●⑥❢♥❢✘✻❷✙➏✒➳✯✓❢④❱✕②♥➇♥❢✘✬✍✯➝❥✉✑③➇♥❢✘❫r❢❷②④✬①❱✘
✕②♥❢✘❁❼✾♥❢✘✻✘✛➀➁➋➡⑥t♣❚✕✗✕✙✘✛❷✙✉✑✇✣➓↕④❱❷➒♣→⑥✑♣✬✇★✕✾⑨✶④❱✉✯✕✙♥❀➅❢♥❢❺➁✕②♥❢✘✻❷✗✕✙④➇✓❢✉✯✕②④✬✓✑⑩❹♥❢✘✻③❀✍
✏❈♥❢✘☛⑨→✘✛✕②♥❢④✖③⑤❼❈♣❱✇✶✓✑✇②✘✻③❀✍➛❿■✓❢✕✝✇✗❺❻✉✑⑩❘✘◗❺➁✕♦❷✙✘✻➳✯✓❢❺❻❷②✘✮③⑦✇②④➞⑨✶♣❱✉❋⑧➃⑨✶✘✻✇✙✇②♣❱❸❱✘✮✇◆❺➁✕♦❼❈♣❱✇

✓❢✉❢➀❻❺➁①✬✘✛➀❻⑧❽✕②④➦✇②✓✑⑩✛⑩✛✘✛✘✮③⑦✓✑✉✬✕✙❺➁➀❥➀❻♣●✕②✘◗❺❻✉⑦✕✙♥❢✘◗⑨✶④❱✉✯✕②♥➲✍➛♠✧✕♦⑨✶❺➁❸✬♥✬✕♦r❦✘➤⑩❘✓❢✕✝✇✗♥❢④✬❷✗✕➇r❋⑧❽✕✙♥❢✘
r❢❷②✘✮♣●①❋❺❻✉❢❸❥④❱➓✑♣❫③✖✘✻⑥✖✕②♥→♣●✉✑③✠✕②♥❢✘✻✉➐❺➁✕✙✇☎⑥✑♣❱❷✗✕✙❺❻♣❱➀✬❺❻✉✖➓↕④❱❷✙⑨➇♣❚✕✙❺➁④✬✉✠❼■④✬✓❢➀✼③✠♥❢✘✻➀➁⑥◆❺➁✉➐✕②♥❢✘✣❷②✘✮♣❱③✖❺❻✉❢❸
④●➓❅④●✕②♥✑✘✛❷✾⑨✶✘✻✇✙✇②♣❱❸❱✘✮✇✛✍
♠✱✉✠✕②♥✑✘❈✇②✘✻⑩✛④❱✉✑③➐♥✑♣●➀➁➓✑④❱➓✔➫✻➭❱➯✯➾❢➅✛❼✾❺➁✕②♥✶♣●➀❻➀✬✕✙♥❢❺✼✇❅⑥❢❷②④✬❸❱❷✙✘✻✇✙✇❀❼✣✘❝✕✙♥❢④❱✓✑❸❱♥✯✕☎❼✣✘✣❼■✘✻❷②✘✣③✖④❱❺❻✉❢❸
❼■✘✻➀➁➀➡✍❢➝➒✉✑③◗✇②④✶❼■✘✒❼✣✘✛✉✯✕✾④❱✉➊✕②♥❢❷✙④❱✓✑❸❱♥❶➫✻➭●➯✯➥❢✍
♠✧✕◆⑩❘④✬✓❢➀❻③❽✉❢④●✕➐➀✼♣❱✇✗✕✻✍☎➼➛q✬✘✛✉✯✕②✓✑♣❱➀➁➀❻⑧s✕②♥❢✘➊➈➉✘✻❷②⑨➇♣❱✉✑✇✛➅✔✉❢④●✕✙❺❻⑩✛❺➁✉✑❸◗✕②♥✑♣●✕➐✕✙♥❢✘✝❺❻✉✑③✖❺✼⑩✛♣●✕②④❱❷❹✇
❼■✘✻❷②✘☛❸❱❺❻q❋❺➁✉✑❸➞♣❑❼❈♣❑⑧➦❺❻✉✖➓↕④❱❷✙⑨➇♣❚✕②❺❻④❱✉❾✕✙♥✑♣❚✕♦✉❢✘✻✘✻③❾✉❢④❱✕✝rt✘◗❸✬❺➁q✬✘✛✉⑤♣❑❼✣♣❑⑧✬➅➄♣●r❦④❱➀❻❺❻✇②♥❢✘✻③✈➫❑➾❑➋
➀➁✘✛✕✗✕②✘✻❷➲❺❻✉✑③✖❺✼⑩✛♣●✕②④❱❷❹✇✻✍✴♠✱✉✑✇★✕✙✘✻♣✬③❥✕✙♥❢✘✛⑧➉❸✬♣❑q✬✘➄♣✾✇✗❺❻⑨✶⑥❢➀➁✘➄✉❋✓❢⑨◆rt✘✻❷✻✍✮➂➛❷✙✘✻✇②✓❢⑨➇♣●r❢➀❻⑧✾✕✙♥❢✘➛④❱⑥❦✘✛❷❹♣❚✕✙④❱❷
➀➁④❋④❱①✬✘✻③➊✓❢⑥❬✕②♥❢✘❁✉❋✓❢⑨◆rt✘✻❷✾❺➁✉◗♣→r❦④✯④✬①✝♣●✉t③✝➓↕④✬✓❢✉✑③❬♥❢❺✼✇✣✕★❼■✘✻➀➁q✬✘✒➀➁✘✛✕✗✕②✘✻❷✙✇✾♣❱❸✬♣❱❺➁✉✑✇✗✕✾❺✥✕✮✍
✌s✘✣⑩❘④❱✓✑➀❻③◆✇★✕✙❺➁➀❻➀✬❷✙✘✻⑩✛④❱❸✬✉❢❺ ✓✻✘❝③✖✘✻⑥✖✕②♥✑✇✻➅❑⑨✶✘✻✇✙✇②♣❱❸❱✘✻✇➲❼✾❺✥✕✙♥✠✕✙♥❢✘✣✇✙♣●⑨✶✘■✉✯✓✑⑨➐r❦✘✛❷❅♣●✉✑③✸➅✮❼✾❺➁✕②♥
➀➁✓✑⑩❹①€➅❢❸✬✘❘✕➒❼✾♥❢✘✻✘✛➀➁➋➡⑥t♣❚✕✗✕✙✘✛❷✙✉✑✇✣➓↕❷✙④❱⑨ ✕✙♥❢✘✛⑨☛✍t❿✣✓✖✕➒♥✑④❚❼❇✕✙④✶✇②✘❘✕✾✕✙♥❢④✬✇②✘❁❼✾♥❢✘✻✘✛➀➁➋➡⑥✑♣●✕✗✕✙✘✛❷✙✉✑✇❈④❱✉
④●✕②♥✑✘✛❷✾⑨✶✘✻✇✙✇②♣❱❸❱✘✮✇✔✻
 
✁ ✍✏✡ ✑✬❜ ✝✔❜❢❧ ✑❱❜❢❧②✐ ✄✝ ✂✆☎ ✡✸❜✄✍➒❡✾❣
✏❈♥❢✘→➳✯✓❢✘✮✇★✕✙❺➁④✬✉↔✉❢④❚❼✎❼❈♣❱✇➉♣❱✇❥➓↕④❱➀❻➀❻④❚❼➒✇✛✍✸➈➉❺➁q✬✘✛✉❶♣➊⑩✛❺➁⑥❢♥✑✘✛❷➉⑨→✘✮✇②✇✙♣●❸✬✘✙✗➇➅❀♣❱✉✑③◗❸✬❺➁q✬✘✛✉➤✕✙♥❢✘
⑩❘④❱❷✙❷✙✘✻✇②⑥t④✬✉✑③✖❺❻✉❢❸✠❼✾♥❢✘✻✘✛➀➁➋➡⑥✑♣●✕✗✕✙✘✛❷✙✉✑✇✛➅✬♥❢④❚❼✂❼✣✘✛❷✙✘➒❼■✘❥✕②④✶✇✗✘✛✕❝✕✙♥❢④✬✇②✘❥❼✾♥❢✘✻✘✛➀✼✇■✇②④◆♣✬✇➛✕✙④◆③✖✘✮⑩❘❺➁➋
⑥❢♥❢✘✛❷❈✕✙♥❢✘❁⑨✶✘✻✇✙✇②♣❱❸❱✘ ✻
♠✱✉✝✕✙♥❢✞✘ ✝➡✕②♥☛❺➁⑨✶⑥❢✓✑➀❻✇②✘❁❼■✘✒♥✑♣❑q✬✘
 ✗➫✬✂
✗ ✟ ✩ ✞✠✟ ✦ ✠✡✟ ✦ ☛✔ ✟ ✰
✆
➆❢④❱❷♦✇②④❱⑨✶✘☛⑥❢✓❢❷✙⑥❦④✬✇②✘✻✇✶❺➁✕♦❺❻✇♦③❢✘✻✇②❺➁❷❹♣●r❢➀❻✘➊✕②④➦❷✙✘✛⑥❢➀✼♣❱⑩✛✘ ☞✗ ✟❁r❋✍⑧ ✌✺✗☞✟②✍❝✏❈♥❢✏✘ ✎€✕②♥✂✇②⑧✯⑨◆rt④✬➀
④●✑➓ ✌✺☞✗ ✟❫❺❻✇✠✕②♥❢✘❬✇✗✓❢⑨ ④●➓✾✕✙♥❢✒✘ ✎€✕✙♥❽♣●✉✑③✯✓  ✎ ✦ ➫✬✱✂ ✕②♥➃✇②⑧❋⑨➐r❦④❱➀✼✇✠④❱➓ ✆✗ ✟✗✍✔✌s✘❬⑩❘④✬✓❢➀❻③➦⑩✻♣●➀❻➀
✌✙✆
✗ ❝✟ ♣➇③✖❺➁➻€✘✛❷✙✘✛✉✑⑩✛✘❱✍t➝❫③❢③✖❺➁✕②❺❻④❱✉↔♣❱✉✑③◗✇②✓❢r✖✕②❷❹♣❱⑩❘✕②❺❻④❱✉◗♣●❷✙✘✒✕②♥✑✘➐✇②♣❱⑨✶✘❁❺➁✉◗✕✙♥❢❺✼✇❥♣●❷✙❺➁✕②♥❢⑨✶✘❘✕✙❺❻⑩❱✍
➍❋❺➁⑨✶❺❻➀❻♣❱❷②➀❻⑧→➓↕④❱❷ ✞✔✗✟ ☞➅ ✠✔✔✟ ♣❱✉✑③ ✕✔ ✟✗✍✯✌❶✘❫✉❢④❱✕②✘❥✕②♥✑♣●✕✖✎✌ ✔✞ ✟✔♥✑♣✬✇➛✕✙♥❢✘❫⑥❦✘✛❷✙❺❻④❋③♦④●✆➓ ✠✞ ✟★✍✖➝➒➀✼✇✗④✗✎✌ ✠✡✟
❺❻✖✇ ✓✻✘✛❷✙④◆❼✾♥✑✘✛✉❢✘✻q❱✘✛✖❷ ✈
✠ ✇★✕❹♣❑⑧✖✇✾✇★✕✙❺➁➀❻➀▼✍
☎❀✘❘✕✒✓✑✇❫❼✾❷②❺➁✕②✘  ★➫ ✂➒❼✾❺➁✕②♥✘✝ ✩ ➫◆♣❱✉✑③◗✕✙♥❢✘✛✉s❼✾❺✥✕✙✙
♥ ✝ ✩ ➾✝♣●✉✑③↔➀➁✘✛✕➉✓t✇➉♣✬③❢③☛✕✙♥❢✘→✕★❼■④

✘✻➳✯✓✑♣❚✕✙❺➁④✬✉✑✇
✚  ✌✙✗ ✸ ✦ ✌✙✗✙✻ ✂ ✩ ✛  ✌✎✞ ✸ ✦ ✌✎✹✞ ✻✬✂ ✦ ✛  ✌✎✠ ✸ ✦ ✌✎✖✠ ✻ ✂ ✦ ✛  ✌✽✔✹✸ ✦ ✌✽✔ ✻✬✂ ✰  ➡➾ ✂
♠❅③❢✘✛❷✙❺➁q✬✘✻③→✕②♥✑❺❻✇■✘✻➳✯✓✑♣●✕②❺❻④❱✉✶rt✘✮⑩✛♣❱✓✑✇✗✘❥♠➛✇✗✓✑✇②⑥❦✘✻⑩✴✕✙✘✻③→✕✙♥✑♣❚✖✕ ✌ ✠ ✸ ✦ ✌✎✠✖➒✻ ❼✣④❱✓❢➀✼③→rt✘❫⑨✶④✬✇✗✕②➀❻⑧
③✖④●✕✮✍✑♠✧✕❫❺✼✇❥♣❱➀➁❼❈♣❑⑧✖✇➒✇②④➇❼✾♥❢✘✛✒✉ ✠✎✇✗✕✙♣❑⑧✖✇➒✇✗✕②❺❻➀➁➀❅♣●✉t③◗✇✗④✬⑨→✘✛✕②❺❻⑨✶✘✻✇❥✇②④♦❼✾♥❢✘✻✌✉ ✞➃③✖④❋✘✻✇❥✉❢④●✕✮✍t♠

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✁❪ ✕
❖❾Ï❋➶✣Ï❋➶❦✭✬✦✱✦★✲
⑩✛♣●➀✼⑩❘✓✑➀❻♣●✕②✘✻③✠✕②♥✑♣●✕☎❺➁✕❅❼■④✬✓❢➀❻③➐rt✘✾♣❱rt④✬✓✖✕ ✂✣✫✁ ➢③✖④❱✕✻✸✍ ✆➒④❱✕②✘■✕②♥✑♣●✕  ✚✌✎✞ ✸ ✦ ✌ ✞ ✻ ✂➲♥✑♣❱✇☎⑥❦✘✛❷✙❺➁④✖③
➯✑➫  ➤➥✑➫ ✩ ➫❑✄➾ ✂✖➫❱✍ ✌✽✔✹✸ ✦ ✌✜✔✼✻❱➅€⑩✛④❱✉✑✇✗✕②❷✙✓✑⑩❘✕②✘✻③◗➓↕❷②④✬⑨ ♣♦⑨✶❺➁➀❻❺➁✕✙♣●❷✙⑧↔➈➉✘✛❷✙⑨➇♣●✉➤⑨✶✘✮✇②✇✙♣●❸✬✘❱➅
❼✣♣✬✇❥✘✛➙❋⑥❦✘✻⑩❘✕②✘✮③◗✕②④➊rt✘ ✢ ✂✫   ③✖④●✕✒④❱❷➉♣✝➀❻❺✥✕②✕②➀❻✘◆⑨✶④✬❷②✘✬✍t♠❥⑩✛④❱✉✑⑩✛➀➁✓t③✖✘✻③☛✕✙♥✑♣❚✕ ✌✺✗✺✸ ✦ ✌✺✗✽✻
♣●❸❱❷✙✘✛✘✮③✶⑨✶④❱❷✙✘➒④●➓ ✕✙✘✛✉➇✕✙♥✑♣❚✕✣✉❢④●✕✣❼✾❺✥✕✙♥ ✌✎✞ ✸ ✦ ✌✎✞ ✻ ✍✬♠✱✉➇➓ ♣❑q✬④❱✓❢❷❹♣●r✑➀➁✘➒⑩✻♣❱✇②✘✻✇➄✕✙♥❢✘✛❷✙✘❥⑨✶❺❻❸❱♥✯✕
rt✘✝♣✬✇✒⑨➐✓✑⑩❹♥➦♣✬✇✠➽❱✄➽   ♣●❸✬❷②✘✻✘✛⑨✶✘✛✉✯✕✻✍✸♠✧✕➐✇②✘✛✘✻⑨✶✘✻③s✕②♥✑♣●✕❁✕②④➤✇②✘❘✕ ✞ ✸ ♣●✉✑✑③ ✞ ✻ ❼■✘♦✇②♥❢④❱✓✑➀❻③
✕②❷✙⑧✗✎✌ ✞ ✸ ✦ ✌ ✞ ✻ ♣❱❸✬♣●❺❻✉✑✇✗✕ ✌✺✗ ✸ ✦ ✌✺✗ ✻ ❺➁✉✝♣❱➀➁➀✑✕②♥❢✘◆➫✮☞➾ ✂❋➫❈⑥t④✯✇②✇②❺❻r❢➀➁✘❥❷②✘✻➀❻♣●✕②❺❻q❱✘✾⑥❦④✬✇②❺✥✕✙❺➁④✬✉✑✇
♣●✉✑③➊⑥❢❺✼⑩❹①♦✕②♥✑✘❁④❱✉❢✘✒❼✾❺➁✕②♥☛rt✘✮✇★✕❥♣❱❸❱❷✙✘✛✘✻⑨→✘✻✉✯✕✻✍
➼➄➙❋✕②✘✻✉✑✇✗❺❻④❱✉t✇■④❱➓✔✕✙♥❢✘❁⑨✶✘❘✕✙♥❢④✖③➊❼✣④❱✓✑➀❻③❬✇✗✘✛✕❈✕②♥❢✘❁④❱✕②♥❢✘✻✖❷ ❀✞ ➋✧❼✾♥❢✘✛✘✻➀❻✇✻✍
♠✣❷✙✘✛⑨✶✘✻⑨➐r❦✘✛❷➒✘✛➙❋⑥✑➀❻♣❱❺➁✉❢❺❻✉❢❸✶✕✙♥❢✘✠⑨✶✘❘✕✙♥❢④✖③☛✕②④➊➈➉✘✻❷②❷✙⑧✝➣◗④✬❷②❸✯♣●✉◗♣●✉t③❬➣↔♣❚✒➙ ✆➒✘✛❼✾⑨➇♣❱✉❀✍
✏❈♥❢✘✛❷✙✘♦❼✣✘✛❷✙✘♦❷✙♣❱⑥❢❺✼③➦③✖✘✛q✬✘✛➀❻④❱⑥❢⑨✶✘✛✉✯✕❹✇✛✍☎➂❅④✬✇✗✕✶➺❥➧♦⑩❘✘♦✘✻✉❢❸❱❺❻✉❢✘✛✘✻❷✙✇✠❺➁✉➃⑩✛④❱✉✑✇②✓❢➀➁✕✙♣●✕②❺❻④❱✉➦❼✾❺➁✕②♥
♣●⑥❢⑥❢➀❻❺❻✘✻③➞⑨➇♣❚✕✙♥❢✘✛⑨➇♣❚✕✙❺❻⑩✛❺❻♣❱✉✑✇❁⑨✶✘✻⑩❹♥t♣●✉❢✔❺ ✓✛✘✮③↔✕✙♥❢✘♦⑥❢❷✙④✖⑩❘✘✮✇②✇✒✓✑✇②❺❻✉❢❸☛➔✑❷❹✇★✕➐✘✻➀➁✘✮⑩✴✕✙❷②❺✼⑩✛♣❱➀➛❷②✘✻➀❻♣❑⑧✖✇
♣●✉✑③✠✕②♥❢✘✻✉◆q❚♣❱⑩✛✓❢✓❢⑨➚✕✙✓❢rt✘✮✇✛✍●✏❈♥✑❺❻✇❅❼❈♣❱✇➲✕②♥❢✘❈❼❈♣❑⑧➉✕②④✒❿■➀❻✘❘✕❹⑩❹♥❢➀❻✘✛⑧ ☎ ✇✔⑥❢❺❻④❱✉❢✘✻✘✛❷✙❺➁✉✑❸❫✘✻➀➁✘✮⑩✴✕②❷✙④❱✉✑❺❻⑩
⑩❘④❱⑨✶⑥❢✓❢✕②✘✛❷❫➌❹➜■④✬➀➁④✯✇②✇②✓✑✇✙➏❢✍❹♠✱✉❁✕②♥✑④✬✇②✘➛③❢♣❑⑧✖✇€✕②✘✻➀➁✘✻⑥❢♥❢④❱✉✑✘✻✇➲♣❱✉✑③➉✕②♥✑✘❝♣❱✇✙✇✗④✖⑩✛❺❻♣●✕②✘✻③➉✘✻✉❢❸❱❺❻✉❢✘✛✘✻❷②❺❻✉❢❸
⑥❢❷②④✬r❢➀❻✘✛⑨➇✇❈❼■✘✻❷②✘➉✕✙♥❢✘❁❷②✘✮✇✗⑥❦④❱✉t✇✗❺❻r❢❺❻➀➁❺➁✕★⑧➇④●➓☎✕②♥❢✘✠➂❅④✯✇★✕❥➺❥➧♦⑩❘✘✬✍
➍❋④❋④❱✉ ✞➲➋➡❼✾♥✑✘✛✘✛➀✼✇☎❼■✘✻❷②✘■rt✘✻❺➁✉✑❸✒✇②✘❘✕❅④❱✉✶⑩❘✓✑❷②❷✙✘✛✉✯✕✔⑨✶✘✮✇②✇✙♣●❸✬✘✻✇☎♣●✉✑③→❿✣➀➁✘✛✕✙⑩❹♥❢➀❻✘✛⑧❋❺➁✕②✘✻✇❅✇②⑥t④✬①❱✘
④●➓☎✕②♥❢✘❁⑥❢❷✙④✖⑩❘✘✮✇②✇✣④●➓✒➌②③❢✘✻⑩❹♥❢❺❻❺➁✉✑❸✬➏❢✍
➝✾➓ ✕②✘✻❷✾③✖✘✻⑩❹♥❢❺❻❺❻✉❢❸✠✕✙♥❢✘✛❷✙✘❥❷✙✘✛⑨➇♣●❺❻✉❢✘✮③✶✕②♥❢✘✒✇②✓❢⑨ ✔ ✦ ✠❁✍❢➍❋❺❻✉✑⑩❘✘ ✔➤♣●✉✑✝③ ✠✂✘✻♣✬⑩❹♥♦♥✑♣❱③✝❺✥✕❹✇
⑥t✘✮⑩❘✓❢➀❻❺❻♣❱❷②❺➁✕②❺❻✘✻✇☎✕✙♥❢❺✼✇➄⑩❘④❱✓✑➀❻③◆rt✘❈r❢❷✙④❱①✬✘✛✉→✇✗④✬⑨→✘✻❼✾♥✑♣❚✕❅❺❻✉➐✕✙♥❢✘✾⑨➇♣●✉❢✉❢✘✻❷❅④●➓❦♣✒③✖✘✻⑥✖✕②♥➲✍✯➺❫❷❅⑧❱④❱✓
⑩❘④❱✓✑➀❻③➊✇②♣❑⑧✶❺➁✕❈❼❈♣❱✇❝✕②♥✑✘❫④✬➀❻③✝⑥❢❷②④✖⑩✛✘✻✇✙✇❝④❱➓❫➌②③❢❷✙♣❱❸❱❸❱❺❻✉❢❸✯➏❢➅❱✇②❺➁⑨✶⑥❢➀❻❺➁➔✑✘✻③➊r❋⑧✶♣❱➀➁➀❦✕✙♥❢✘ ✞s❼✾♥❢✘✻✘✛➀✼✇
♥✑♣❑q❋❺➁✉❢❸☛r❦✘✛✘✻✉❽✇✗✘✛✕✻✍➲✏❈♥❢✘✝⑥❢❷②④✖⑩✛✘✻✇✙✇✒❼✣♣✬✇❁⑩✛♣●➀❻➀❻✘✻③✈➌②③✖✘✻⑥✑✇②❺➁❺❻✉❢❸✬➏✑✍✔➺❫❷✻➅✸❼✾♥✑✘✛✉➦✓❢✉✑✇②✓✑⑩✻⑩❘✘✻✇✙✇✗➓↕✓❢➀

➌②③✖✘✻✘✛⑥✝✇②❺➁❸✬♥❢❺❻✉❢❸✬➏✑✍✬✏❈♥❢❺✼✇❝⑥✑❷②④✖⑩❘✘✮✇②✇➛❼✣♣✬✇❝⑩✛♣❱❷②❷✙❺❻✘✻③✶④❱✓❢✕■r❋⑧✶♥✑♣●✉✑③❀➅✬⑨✶④✬✇✗✕②➀❻⑧✶r❋⑧◆⑨✶✘✛⑨◆rt✘✻❷✙✇■④●➓
✕②♥❢✘❁✌✎✍ ✟❁✍ ✆✠✍❂➍€✍
♠✧✕✶④✖⑩✻⑩❘✓❢❷✙❷②✘✮③❽✕✙④➞⑨→✘☛✕✙♥✑♣❚✕➇❼✾❺➁✕②♥✂♣➞✇✗✓❢➧➇⑩✛❺➁✘✻✉✯✕②➀❻⑧➃➀❻④❱✉❢❸➞⑨✶✘✻✇✙✇②♣❱❸❱✘➊✕②♥❢❺✼✇➇✇✗✕✙♣❚✕✙❺❻✇✗✕②❺✼⑩✛♣❱➀
⑨→✘✛✕②♥❢④✖③⑦⑨✶❺➁❸✬♥✬✕➇r❦✘➤✇★✕✙❷②✘✻✉❢❸●✕✙♥❢✘✛✉✑✘✻③➃✇②④➞♣❱✇→✕②④s➔✑✉✑③⑦✕✙♥❢✘☛✓❢✉❢①❋✉❢④❚❼✾✉❾❼✾♥❢✘✛✘✻➀✥➋✧⑥✑♣❚✕②✕②✘✻❷②✉✑✇✻✍
➺❫✉❢✘◆③❢♣❑⑧✬➅✑♥✑♣❑q❋❺❻✉❢❸♦❷✙✘✻⑩✛✘✛❺❻q❱✘✻③◗♣♦⑨→✘✮✇②✇✙♣●❸✬✘♦➫✮➽❢➅ ✫✤✫ ✫✶➀❻✘❘✕②✕②✘✛❷❹✇➒➀❻④❱✉✑❸✝♠❈✕②❷✙❺❻✘✻③◗④✬✓✖✕❥✕✙♥❢✘➐❺✼③✖✘✻♣✑✍
♠✧✕◆❼✣④❱❷✙①❱✘✻③❀✍❀♠❁❷②✘✻⑨✶✘✛⑨➐r❦✘✛❷➐❷②✘✻⑥t④✬❷✗✕✙❺➁✉❢❸➤✕②④↔➣➤♣ ✷★④❱❷→✏➲✘✮✇★✕✙✘✛❷✮➅➲♥❢✘✮♣❱③➞④●➓✾✕✙♥❢✘➊♣❱⑥❢⑥❢❷✙④❱⑥❢❷✙❺✼♣❚✕②✘
➍❋✘✻⑩❘✕②❺❻④❱✁
✉   ①❋✉❢④❚❼✾✉➃♣❱✇➐✕②♥✑✘☛✏✔✘✻✇✗✕②✘✻❷②⑧✄✂✠❼✾❺✥✕✙♥❽✕②♥✑✘❬✉✑✘✛❼➒✇◆④●➓✝➌✗✕②♥❢✘➊➔✑❷❹✇★✕→⑨✶♣✬⑩❹♥❢❺❻✉❢✘✝✕✙④↔r❦✘
r❢❷②④✬①❱✘✻✉✝④❱✉◗♣✶③✖✘✻⑥✖✕②♥☛④●➓❅④❱✉✑✘✻➏❢✍
➍✯✕✙♣●✕②❺✼✇★✕✙❺❻⑩✛❺❻♣❱✉✑✇✾♣❚✕➒❿❈➂❅➅✖✉❢④●✕❹♣●r❢➀❻⑧ ✲✯♣❱⑩❹①♦➈➉④❋④✖③➊❸✬❷②✘✮♣❚✕✙➀➁⑧♦✇✗✕②❷✙✘✛✉❢❸❱✕②♥❢✘✻✉❢✘✻③✝✕②♥✑✘➉⑨✶✘✛✕②♥❢④✖③
♣●✉✑③✶✕✙♥❢✘❫➓ ♣●⑨✶④❱✓✑✇✾➜■④❱➀❻④✬✇✙✇②✓✑✇❝⑩✛④❱⑨✶⑥❢✓✖✕✙✘✛❷❹✇❝❼✣✘✛❷✙✘❥⑥❢❷✙④❱❸✬❷✙♣❱⑨✶⑨→✘✮③◆✕②④✶♣●⑥❢⑥❢➀❻⑧✶❺✥✕✮✳✍ ✆➒④❚❼Ô③✖✘✻⑥✖➋
✇✗❺❻❺➁✉✑❸sr❦✘✻⑩✻♣●⑨✶✘❬♣↔⑨✶④❱❷✙✘✝✕✙❷②❺✼⑩❹①❋⑧❶⑥✑❷②④✖⑩❘✘✮✇②✇◆r❦✘✛❺❻✉❢❸❶③❢④❱✉❢✘❬❼✾❺✥✕✙♥➃❺❻✉❢❺➁✕②❺✼♣●➀❻➀➁⑧➦✓❢✉✑①✯✉✑④❚❼✾✉➃⑥✑✇②❺
⑥✑♣❚✕②✕②✘✛❷✙✉✑✇✻➅➲❼✾♥❢❺✼⑩❹♥❽♥✑♣✬③❶✕②④srt✘❬③✖✘❘✕✙✘✛❷✙⑨→❺❻✉❢✘✮③➦❺➁✉❽✕②♥❢✘➊⑥❢❷②④✖⑩✛✘✻✇✙✇✛✍➲➆✑④❱❷➐✕②♥❢❺✼✇➐❼✣④❱❷✙①↔❼✣④❱✓✑➀❻③
✉❢④❱❷✙⑨➇♣●➀❻➀➁⑧♦r❦✘✠③✖④✬✉❢✘✒❺➁✉❬✕②♥✑✘✠♣●r✑✇②✘✛✉✑⑩✛✘✒④●➓☎♣❱✉❋⑧♦♥❢✘✛➀❻⑥✖➓↕✓❢➀✔③✖✘✛⑥✖✕✙♥❀✍
➣◗✘✻♣❱✉✯❼✾♥✑❺➁➀❻✘✶✕②♥❢✘☛➈➉✘✛❷✙⑨➇♣●✉✑✇➐rt✘✻❸✬♣●✉➞✕✙④↔⑩❹♥✑♣❱✉❢❸❱✘✶✕✙♥❢✘✝❼✾♥❢✘✻✘✛➀➁➋➡⑥t♣❚✕✗✕✙✘✛❷✙✉✑✇✠✘✻q❱✘✻❷②⑧❶③❢♣❑⑧
♣●✉✑③☛✕✙④✝⑨➇♣●①✬✘❁✕②♥✑✘ ✠✎⑨✶④❚q❱✘✻⑨→✘✻✉✯✕❫③✖✘✛⑥❦✘✛✉t③➤⑥✑♣❱❷✗✕✙❺❻♣❱➀➁➀❻⑧➊④✬✉◗✕②♥✑✘ ✞❀➋✧❼✾♥❢✘✻✘✛➀✼✇✛➅❦④❱❷❫✘✛q❱✘✻✉◗④❱✉
✕②♥❢✘✠⑥t♣❱✇✗✕❥⑥❢➀✼♣●❺❻✉☛✕②✘❘➙❋✕✮✍❦❿✣✓✖✕❥⑥✑❷②④✖③✖✓✑⑩❘✕②❺❻④❱✉➤♣●✕❫❿✣➀➁✘✛✕✙⑩❹♥❢➀❻✘✛⑧❬⑩❘④❱✉✯✕✙❺➁✉❋✓❢✘✮③☛✓❢⑥☛✕②④➇✕✙♥❢✘➐✘✻✉✑③☛④●➓
✕②♥❢✘✠➼❝✓❢❷②④✬⑥t✘✮♣●✉➊✌❶♣❱❷✻✍
♠✧✕➊♣●⑥❢⑥❦✘✻♣❱❷✙✇➇➓↕❷②④✬⑨ ✕✙♥❢✘➤❼✣④❱❷✙①⑦♣❚✕❬❿■➀❻✘❘✕❹⑩❹♥❢➀❻✘✛⑧⑦✕②♥✑♣●✕♦✕②♥❢✘s⑨➇♣●❺❻✉✂❼■✘✮♣●①❋✉❢✘✻✇✙✇✶④●➓❁✕✙♥❢✘
✏➲✓❢✉✑✉✯⑧❁⑨➇♣✬⑩❹♥❢❺➁✉✑✘■❼❈♣❱✇➲✕②♥✑♣●✕✔✕✙♥❢✘■➔✑q❱✘ ✠❈➋➡❼✾♥✑✘✛✘✛➀✼✇✔①❱✘✛⑥❢✕☎❺❻✉◆✇✗✕②✘✻⑥❀✍❚✏❈♥❢✘✛⑧❁✘✻❺✥✕✙♥❢✘✛❷➄♣●➀❻➀❋⑨✶④❚q❱✘✻③
④❱✉Ô④✬✉❢✘↔⑥❢➀✼♣❱⑩✛✘↔④✬❷✝✕✙♥❢✘✛⑧Ô♣❱➀➁➀✒✇★✕❹♣❑⑧❱✘✮③✂✇★✕✙❺➁➀❻➀▼✍✾✏✔✓❢❷✙❺➁✉❢☛❸ ☎ ✇➊⑨✶✘❘✕✙♥❢④✖③❇♣●✉t③⑤✕②♥❢✘➞✇✗✕✙♣❚✕✙❺❻✇✗✕②❺✼⑩✛♣❱➀
⑨→✘✛✕②♥❢④✖③➤♣❱➀➁➀☎③✖✘✛⑥❦✘✛✉t③✖✘✻③◗④✬✉☛✕②♥❢❺✼✇✻➅❦♣❱✉✑③➤✇②④♦③✖❺❻③↔③✖❷✙♣❱❸❱❸✬❺➁✉❢❸➇❺❻✉☛✕②♥✑✘◆③❢♣❑⑧✖✇➒④❱➓➄❺➁✉✑③❢❺❻⑩✻♣❚✕②④✬❷✙✇✻✍
✏❈♥❢✘❫⑨✶✘✻❷②✘❫➓ ♣❱⑩❘✕■✕✙♥✑♣❚✕❈✕②♥✑✘➉⑩✛❺➁⑥❢♥✑✘✛❷❈❼✣♣✬✇■♣✬③❢③✖❺➁✕②❺❻q❱✘➉❼✣♣✬✇■♣❱➀❻✇②④◆♣◆❼✣✘✻♣●①❋✉❢✘✮✇②✇✣✇②❺➁✉✑⑩✛✘➉③❢✘✛⑥✖✕✙♥✑✇
⑩❘④❱✓✑➀❻③✂r❦✘↔❷✙✘✻♣✬③✂♥❢④❚❼✣✘✛q✬✘✛❷✝✇②✓❢r✖✕✙➀➁✘↔✕②♥❢✘❶⑨➇♣❱⑩❹♥❢❺❻✉❢✘❱✍■♠✝✇②✓❢⑥❢⑥❦④✬✇②✘◗✕②♥❢✘✻❷②✘s❼✣♣✬✇✝♣⑦✇✗❼✾❺➁✕✙⑩❹♥
♣●➀❻➀➁④❚❼✾❺❻✉❢❸➤♣●✉➃✘❘➻€④❱❷②✕②➀❻✘✻✇✙✇✠❷✙✘❘✕②✓✑❷②✉➞✕✙④◗✕②♥❢✘➊❺➁✉✑❺✥✕✙❺❻♣❱➀■⑥❦④✬✇②❺✥✕✙❺➁④✬✉❀✍☎✌✂❺✥✕✙♥⑦✇②✓✑⑩❹♥❽♣❱✇◆✇✗❼✾❺➁✕✙⑩❹♥➦❺➁✕

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❼■④✬✓❢➀❻③⑦♥✑♣❑q✬✘➊r❦✘✛✘✻✉❾♥t♣●❷❹③❽✕✙④➞♣❑q✬④❱❺✼③➃✇②✘✛✉✑③❢❺➁✉❢❸➦♣❱✉⑦④✖⑩✛⑩✻♣❱✇②❺➁④✬✉✑♣●➀✾③✖✘✻⑥✖✕②♥➲➅➛✘✻✇②⑥t✘✮⑩❘❺✼♣●➀❻➀➁⑧➃❺➁✉
✕②❺❻⑨→✘✮✇✾④●➓☎✘✛⑨✶✘✛❷✙❸❱✘✻✉✑⑩❘⑧✬➅❢✇★✕✙❷✙♣❱❺➁✉☛♣●✉t③✝④❚q✬✘✛❷✙❼■④✬❷②①€✍
✏❈♥❢✘✛❷✙✘❫❼❈♣❱✇✣♣●✉✑④●✕②♥✑✘✛❷✣✕②✘✻➀➁✘✻⑥❢❷②❺❻✉✯✕②✘✻❷✣⑩✛❺➁⑥❢♥✑✘✛❷✾⑨➇♣❱⑩❹♥❢❺❻✉❢✘❫✕②♥✑♣●✕✣❼✣✘❁⑩✛♣❱➀➁➀❻✘✻③➃➌✙➍✯✕✙✓❢❷②❸✬✘✛④✬✉✑➏❢➅
✓✑✇✗✘✮③☛r❋⑧✝✕✙♥❢✘ ☎➲✓✖➓ ✕★❼✣♣●➻❦✘✬✍✑♠✧✕❥⑨✶❺➁➙✖✘✻③☛✕✙♥❢✘❁➔✑q✬✘✠❺➁⑨✶⑥❢✓✑➀❻✇②✘✻✇❥⑨→④✬❷②✘✒✕✙♥❢④❱❷✙④❱✓✑❸❱♥❢➀❻⑧♦✕✙♥✑♣●✉↔③❢❺❻③
✏➲✓❢✉✑✉✯⑧✬✍➄✏❈♥❢✘✛❷✙✘✝❼❈♣❱✇→♣➤⑥❦✘✛❷✙⑨➐✓✖✕❹♣❚✕✙❺➁④✬✉❽④●➓➒✕✙♥❢✘➊➔✑q❱✘➊❺➁⑨✶⑥❢✓❢➀✼✇②✘✻✇→❺➁✉➃✕②♥❢✘☛⑩❘④✬✓❢❷❹✇✗✘♦④❱➓❥①❱✘✻⑧
⑩❘④❱✉t✇★✕✙❷②✓✑⑩❘✕②❺❻④❱✉❀✍
➌❹➜■④✖③✖✘✠❿✣❷②✘✮♣●①✬✘✛❷❹✇②➏◆✘❘➙✖⑥❢➀✼♣●❺❻✉✑✇✾❼✾♥❋⑧♦✕✙♥❢✘◆♣❱✓✖✕②♥✑④❱❷✙❺✥✕✙❺➁✘✮✇➒③✖✘✻⑩✛❺❻③❢✘✻③❬✕②④➊⑩❘④❱✉t⑩❘✘✛✉✯✕✙❷✙♣●✕②✘✒④❱✉
➝➒❷✙⑨➐⑧⑦✏✔✓❢✉❢✉❋⑧⑦❷✙♣●✕②♥❢✘✻❷✶✕②♥✑♣❱✉Ơ➝➒❺❻❷✝➆❢④✬❷✙⑩✛✘◗➍❋✕②✓❢❷✙❸❱✘✻④❱✉❀✍✣➺❫✉✑✘◗❷②✘✮♣❱✇②④❱✉ ✵➄❷✙✘✻✇②④❱✓❢❷❹⑩❘✘✮✇→❼■✘✻❷②✘
➀➁❺❻⑨✶❺✥✕✙✘✻③♦♣❱✉✑③✶❺✥✕❈✇✗✘✻✘✛⑨✶✘✻③✶r❦✘❘✕②✕②✘✻❷❝✕✙④✠⑨➇♣●①❱✘❫♣✒➓↕✓❢➀❻➀❦✇✙⑩✛♣❱➀➁✘❥♣●✕✗✕❹♣❱⑩❹①➐④✬✉➇④❱✉❢✘❫⑩❘❺❻⑥❢♥❢✘✛❷✣✇✗⑧✖✇✗✕②✘✻⑨
✕②♥✑♣❱✉✂✕②④⑦⑨✶♣❱①❱✘➤♥t♣●➀➁➓ ➋➡♥❢✘✮♣●❷②✕②✘✮③✂♣❚✕✗✕❹♣❱⑩❹①✖✇➇④✬✉Ơrt④❱✕②♥❀✍❈➝➒✉✑④●✕②♥✑✘✛❷❬❷②✘✮♣❱✇②④❱✉ ✵❝➼❝✉❢❺❻❸❱⑨➇♣➦❼❈♣❱✇
✇✗✓❢⑥✑⑥❢➀➁⑧❋❺❻✉❢❸❁⑨➐✓t⑩❹♥◆❺❻✉✖➓↕④❱❷✙⑨➇♣❚✕✙❺➁④✬✉→♣❱rt④✬✓✖✕➄✕②♥❢✘❥➈➉✘✻❷②⑨➇♣❱✉ ✆❫♣❑q✯⑧◆♣●✉✑③✶➝➒❺❻❷❝➆✑④❱❷❹⑩❘✘❈r❢✓✖✕➛➀❻❺✥✕②✕②➀❻✘
♣●r❦④❱✓✖✕✾✕✙♥❢✘✠➝➒❷✙⑨➐⑧✬✍
✏➲④❁❼✾♥❢❺✼⑩❹♥♦♠❅⑨✶❺➁❸✬♥✯✕■♣❱③❢③→✕✙♥✑♣❚✕■✕②♥❢④✬✓❢❸❱♥➇❼✣✘✾➓↕④✬✓❢✉✑③✶④❱✓❢✕■♥❢④❚❼✂➍✯✕②✓✑❷②❸✬✘✛④❱✉➇❼✣④❱❷✙①❱✘✮③➐❼✣✘
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Sturgeon, The FISH BP Never Really Caught
Frode Weierud
CERN, Div. SL, CH-1211 Geneva 23, Switzerland

1

Introduction

The German armed forces employed three different types of teleprinter cipher
machines during the Second World War, the Lorenz machines SZ40 and SZ42
also called Tunny by Bletchley Park (BP), the Siemens Schlă
usselfernschreibmaschine (SFM) T52, and the one-time-tape machine T43, also manufactured

by Siemens. The Lorenz machines, which existed in three different models,
SZ40, SZ42a, and SZ42b, are well known as the machines that were broken
at BP with the aid of Colossus. The Siemens T52 existed in four functionally
distinct models, T52a/b, T52c and T52ca — which was a modified version
of the T52c machine, T52d, and T52e, all going under the BP code name
of Sturgeon, while the Siemens T43 probably was the unbreakable machine
that BP called Thrasher. The T43 machine came into use relatively late in
the war and appears to have been used only on a few selected circuits.
This paper will, for the first time in the open literature, explain in detail the events that led to BP breaking the Sturgeon machines. In 1964, the
Swedish Under-Secretary of State Erik Boheman first revealed that Sweden
had broken the German Geheimschreiber (T52) during the Second World
War. [4] In 1967, David Kahn gave further details about this achievement.
[16] However, it was only in 1984, when Hinsley et al. published part one
of the third volume of “British Intelligence in the Second World War,” that
it was officially acknowledged that BP also had experienced some success
against the Siemens T52. [13] Previously, many authors had confused the T52
with the Lorenz SZ40/42 machines and had erroneously linked the Siemens
T52 to Colossus. Since 1982, Donald Davies has published detailed information about the electrical and mechanical construction of the machines. [6–8]
And Wolfgang Mache has through his contacts and interviews with former
Geheimschreiber operators and technicians presented the evolutionary history of the Siemens T52 machines. [17–19] Apart from Sir Harry Hinsley’s
and Professor Tutte’s [22] references to BP’s attack against the T52 there
has so far not been any detailed account of this part of BP’s history. It is
hoped the present paper will fill this void.
The first section of this paper gives a short overview of the German
teleprinter cipher machines and their use, followed by a short section explaining how and when BP first encountered the Sturgeon traffic. The third
This article represents the views of the author but not necessarily those of his
employer or any other third party.

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F. Weierud

section explains the cryptographic principle used by the Siemens T52 machines. Here, for the first time, the “Pentagon” is introduced and an explanation is given of how important this device was for BP’s attack against the first
T52 model it encountered. The following two sections continues the historical
presentation of BP’s attack on the T52 and its struggle to keep abreast with
the German cryptographers continuous changes to the machines. For the first
time, it is revealed that BP broke the T52d, a machine with irregular code
wheel movement. This was indeed a major achievement. Sections seven and
eight explain what knowledge BP gained from the captured machines and
the information they acquired through both FISH and Enigma decodes. The
section entitled The Cryptanalytical Problem gives new and detailed cryptanalytical information about the structure of the T52 key generators and how
this information was used to attack the machines. A constructed example of
how to perform an attack on T52 messages in depth1 concludes this section.

2

The Machines and Their Use

All the German teleprinter cipher machines were on-line machines. This
means that when an operator types his plain text message on the transmitting machine, A, the same plain text appears immediately on the receiving
machine, B. Neither of the operators ever sees the cipher text. The Lorenz
machines were from their inception designed to be suitable for use on high
frequency radio circuits operating in the 3 to 30 MHz bands. Radio signals
in this frequency range are affected by both slow and fast fading, Doppler
shift and multipath propagation which can easily play havoc with the digital
teleprinter signals. All these machines used the standard teleprinter speed of
that time, 50 Baud, which results in an element time of 20 ms. They were

asynchronous machines using a start and stop pulse for each transmitted character. The SZ40/42 machines had a better receiver design than the T52 and
were therefore more successful in reconstituting severely distorted teleprinter
pulses. Towards the end of the war Lorenz worked on the development of
an improved machine, the SZ42c, which applied the cryptographic process
directly to the radio signal itself.2 It was used in conjunction with a continuously operating, synchronous teleprinter which maintained its speed with
the help of a crystal controlled oscillator. The SZ42c was an advanced design
and the German engineers were clearly leading in this area.
It may therefore seem that technical reasons led to the Lorenz machines
being used on radio teleprinter circuits. However, the author believes that lo1

2

Two or more cipher texts or messages are said to be in depth when the texts have
been aligned such that the entire texts or parts thereof have been enciphered by
the same key. This process, that messages are enciphered by the same key, can
occur when a cipher machine or system is used incorrectly or from the use of
keys that have been constructed wrongly.
“European Axis Signal Intelligence in World War II – Vol.2”, 1 May 1946, A
TICOM Publication released under the US Freedom of Information Act (FOIA).

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Sturgeon

3

gistics are more likely to have been the reason. The Lorenz SZ40/42 machines
were a German Army development, while from an early stage the T52 machines were adopted by the Air Force and the Navy. The T52 machines were
only allowed to remain on board naval ships while they were in harbour. It is

evident that they would mainly be connected to the well developed telegraph
line network which covered the most of German occupied territory. This was
also the situation for the machines used by the German Air Force. On the
other hand, a large part of the German Army tended to be continually on
the move and it was relatively seldom that they could connect their machines
to the fixed telegraph network. With time the T52 machines also appeared
on radio circuits. Initially they were used on radio relay connections using
frequencies in the VHF and UHF range, while later they would also appear
on circuits in the HF (3–30 MHz) area.

3

The First Encounter

BP first observed Siemens T52 traffic in the summer and autumn of 1942.
Most of the traffic passed on a radio link between Sicily and Libya, which BP
called the “Sturgeon” link. [1] In the same period there was also another link
from the Aegean to Sicily that BP called “Mackerel”. The operators on these
links were in the habit of sending a large number of cipher text messages using
the same machine settings. When using the machine, they sent a short cipher
text, followed by some operator chat in clear text. They then transmitted in
clear the signal “UM UM” (Umschalten — switch over) and the cipher text
continued but with the machine set to its initial setting. These interruptions
and operator exchanges were frequent and the cipher texts in depth would
continue to accumulate. The depths allowed the BP cryptanalysts to analyse
the machine in detail and they soon discovered that the machine had 10
code wheels whose patterns appeared to be fixed. At least that was their
assumption based on the intercepts during September and October and the
first two days of November. After that, the Sturgeon link and its traffic came
to an end. In the period before September the interception was too bad to

allow any of the traffic to be read.

4

The Cryptographic Principle

The analysis of the intercepts showed that the Sturgeon machine was using
two operations, a modulo two addition (XOR) and a permutation of the
resulting five teleprinter code elements. The modulo two key was called the
subtractor and represented by the symbol Σ, while the permutation key was
called the permutor and represented by Π. The cryptographic algorithm,
transforming a plain text character P into its cipher text character C, is
given by
C = Π(P ⊕ Σ)

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(1)


4

F. Weierud

where ⊕ signifies modulo two addition. The plain text character is first added
to the subtractor modulo two and the permutor then permutes the result.
On reception the inverse permutation took place before the addition of the
subtractor, which gives
P = CΠ −1 ⊕ Σ

(2)

47 53 59 61 64 65 67 69 71 73

1 0 1 1 0 0 0 1 0 1

F

1 0 1 1 0

0 1 1 0 0

I

B
1
0
0
1
1

Z
1
0
0
0
1

Figure1. SFM T52’s functional diagram.

A schematic diagram of the basic operations of all the T52 machines
is given in Fig. 1. The ten rectangles of varying heights symbolize the ten
code wheels whose circumference carried bit patterns of different lengths.
The wheels were bakelite disks with protrusions which were sensed by one
or more electrical contacts. A more modern analogy for the code wheels is
shift register sequences of different lengths. In Fig. 1 the length of the code
wheel sequences is written above each of the ten wheels. The code wheels
were labelled A to K from right to left, omitting I. These wheel identities are
used later in Fig. 4 which gives a description of the wheel stopping logic for
the T52d machine.
Below the wheels, the plug connections that make up the main inner key
are shown connecting each of the ten wheels to the various elements of the
XOR and transposition circuits. The figure is an accurate representation of

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Sturgeon

5

the functioning of the T52a/b and T52d machines. In these two models each
code wheel consisted of four identical cams, each fitted with a changeover
contact which was used in either the XOR circuits or the transposition circuits
of the transmitter and receiver part of the machine. The plugs connected to
the code wheel contacts were labelled with the corresponding wheel identities
A to K, each wheel being equipped with two plugs, one red and the other
black. The corresponding sockets in the transposition circuit, ten in total,
were labelled from 1 to 10. Sockets 1 and 2, 3 and 4, etc. were paired together
but we will see later that any of the two plugs of a given wheel can be plugged

into any of the transposition sockets. Further, the red/black order had no
electrical significance and the two plugs could be swapped. The ten sockets
in the XOR circuit were labelled with Roman numerals from I to V in pairs,
where each socket in a pair carried an additional a or b label, e.g. sockets
Ia and Ib. For the XOR circuit the plug order had to be strictly adhered to
and the two plugs of a given wheel had to be plugged to the sockets with the
same Roman numeral pair, e.g. red K would plug to IIa and black K to IIb.
If the plugs of a given wheel were connected to two different Roman socket
pairs a short circuit of the ± 60 volt signalling supply would be the result.
The T52c/ca and T52e machines modified this relatively complex circuit
by using relays with multiple contact sets for the functions in the XOR and
transposition circuits. These so-called SR relays were controlled via a logic
circuit driven by the cam contacts on four different code wheels. On these
machines the code wheels had one single cam on each wheel; the other three
cams became superfluous and were therefore removed. The relays SR1–SR5
were used in the permutation circuit, while SR6–SR10 made up the substitution circuit. The machines also did away with the flexible transposition circuit
of the T52a/b and d models which allowed full freedom in the configuration
of the circuit as will be explained later. The T52c/ca and T52e machines
used a standard configuration of the transposition units which were wired
permanently in place.
Instead of changing wheel order by plugging, these machines used ten
switches, one for each wheel, which could be set to one of ten positions labelled
1, 3, 5, 7, 9, I, II, II, IV, and V. There were no longer any pairs of plugs and
sockets such that the previous paired designations, e.g. 1–2 and IIa–IIb would
be represented simply by respectively 1 and II. The ten outputs from the
wheel order selection circuit carried the same labels as the switch positions;
here the outputs are called the output channels. Any of the ten wheels could
be connected to any of the ten output channels via the ten switches with the
restriction that a given output channel could only be selected once. If this rule
was not obeyed a short circuit of the ± 60V supply would occur. Furthermore,

the labels had lost their previous meaning of Arabic numerals belonging to
the transposition circuit and the Roman numerals belonging to the XOR
circuit. Instead the three machines, T52c, T52ca and T52e, controlled each
of the SR relays via a wheel combination logic which consisted of the modulo
two sum of four different output channels. The wheel combination logic for

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6

F. Weierud

the T52c has previously been published by Donald Davies in his paper on the
T52 machines [7] and is reproduced here in Fig. 2. The wheel combination
logic was different on each of the three machines. The logic for the T52e
machine has also been published by Donald Davies in his paper on the T52e
machine, [6] while the logic for the T52ca machine will be presented later.
The information in Fig. 2 has also been compared with information from the
archives of the Swedish signal intelligence organization, FRA,3 and found to
be correct.

Code Wheel Outputs
1 3 5 7 9 I II III IV V
SR1 X X
X
X
SR2
XX
X

X
SR3
XX
X
X
SR4
XXX
X
SR5 X
X X
X
SR6
XX
X
X
SR7
XX
X
X
SR8 X X
X
X
SR9 X
XX
X
SR10
XXX
X

Subtractor

Permutor

Relays

Figure2. Wheel combination logic for T52c.

The T52c and T52ca machines introduced yet another complexity, the
message key unit. This unit, which consisted of 15 transposition units and
which will be introduced later, was connected between the code wheel cam
contacts and the wheel order selection circuit. Its function was to further
permute the order of the wheels before their contacts were selected in the
wheel order selection circuit which was the main inner key. As explained
later, a new setting of the message key unit would be selected for each new
message. This meant that even if the main inner key would remain the same
the wheels would still have a different function for each new message.
The T52d and e models also had irregular movement of the code wheels,
a so-called stop-and-go movement. The movement of each wheel was controlled by contacts on two of the other wheels. These two machines also had
a switchable autokey4 element where the third bit of each plain text character
would control the movement of the wheels in addition to the control given
by the wheels themselves.
3
4

FRA, Fă
orsvarets Radioanstalt. See [3, 23].
Autokey or autoclave is where a part of the key is generated from the plain text
or the cipher text.

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Sturgeon

7

Here is how the machine works in an example as shown in Fig. 1. First, a
plain text character, B say, will be represented by its Baudot code equivalent
10011 or ìã •××5 as given in the Baudot alphabet in Fig. 5. The plain text
character B is then added bitwise modulo two to the subtractor character,
F say, and the result routed through the transposition circuit, which is controlled by the permutor character, I say. The resulting cipher text character
is Z. The two key characters, F and I, are determined from the code wheel
setting and the inner key configuration once the plain text character B enters
the machine. In addition, the figure shows that an element of the transposition circuit, the transposition unit, is active when the controlling bit is 0 or,
as BP said, a dot.
SR1
3

1
II

SR2

SR5

III

5

I

IV

SR3

9

V

7

SR4

Figure3. The Pentagon

The analysis of the T52 key generator showed that the 10 code wheels
were combined in fours. They named this circuit the “Pentagon”. The author
has not been able to find any documentary information about the Pentagon,
however, largely inspired by Professor William Tutte’s beautiful little book
on graph theory, [21] he thinks he has found the answer.
The graph in Fig. 3 is constructed from the wheel combining logic in Fig. 2.
The code wheel output channels are labelled 1, 3, 5, 7, 9 and I, II, III, IV, V. A
cross in the row for one of the SR relays means that the control of the relay
depends on the marked output channels, e.g. the function for the SR4 relay
is given by
SR4 = 7 ⊕ 9 ⊕ I ⊕ IV
5

(3)

BP used the terms cross and dot to describe the Baudot code elements mark and
space, logical 1 and 0.

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8

F. Weierud

In the graph in Fig. 3 the SR relays are represented by the vertices and the
controlling wheel output channels by the edges which join in a given vertex.
The advantage of the graph is that it quickly shows the relationship between
the different SR relays; it clearly shows the topology of the circuit. The
symmetry of the graph is such that it is highly likely that it corresponds to
what BP called the Pentagon.
The Pentagon was cryptographically a weak device. Only four different
subtractors could be associated with a given permutation. Furthermore, the
subtractor character was always even, i.e. the 5 code impulses always summed
to zero. [1] Therefore the plain text character was even whenever the cipher
text character was even, and odd whenever the cipher text character was
odd. For the cryptanalyst this was similar to the Enigma’s peculiarity that
no letter can encipher to itself, and it was of great help in reading depths
and placing cribs.
The first Sturgeon message to be read was at a depth of 40, an almost
incredible depth, which clearly shows that the German operators had no idea
of the detailed functioning of the machine and that they must have disobeyed
orders or been wrongly instructed. Eventually, with the detailed knowledge of
the limitations imposed by the Pentagon device, depths of four or five could
be read fairly easy. The 10 code wheels were set once a day and this initial

setting remained in force during the whole day. However, the machine was
equipped with a small crank which allowed the operator to easily bring the
machine back to its initial code wheel settings. This was the main reason for
the large number of messages in depth. With this knowledge, it was possible
to read messages at depths of two or three as soon as the daily wheel settings
had been recovered. When they could make a guess at a crib of about six
letters even single messages could be broken with the help of the Pentagon
limitations.
The different messages were sent using different wheel orders. There was
some form of message key device that changed the connections between the
code wheels and the Pentagon. However, as the machine was brought back to
its initial position, the binary streams from each of the wheels were always the
same. Five letters were given as a message key, and these always came from
the reduced alphabet: P S T U W X Y Z. A letter could appear more than once
in the group of five — once the indicator WWWWW was even observed. BP
noticed that when two indicators agreed in n positions, then usually but not
always, 2n of the wheels had the same function in the Pentagon. However,
this rule did not apply to indicators sent on different days. The indicator
system of this machine was never broken cryptanalytically.
Comparing the above description with what is known about the different
Siemens T52 models it is evident that BP was confronted with the T52c
machine. [6–8, 17–19] This machine had a code wheel combination logic like
the one described for the Pentagon. It also had a message key unit with five
levers that could be set in eight different positions indicated by the letters P
S T U W X Y Z. Like the T52a/b, the c model also had the small crank that

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