HAL Id: inria-00074350
https://hal.inria.fr/inria-00074350
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Onde guidées par une perturbation du demi-espace
élastique homogène
Jean Duterte, Patrick Joly
To cite this version:
Jean Duterte, Patrick Joly. Onde guidées par une perturbation du demi-espace élastique homogène.
[Rapport de recherche] RR-2324, INRIA. 1994. �inria-00074350�
ISSN 0249-6399
a p p o r t
d e r e c h e r c h e
1 9 9 4
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
ONDES GUIDEES PAR LA PERTURBATION
GEOMETRIQUE LOCALE DU DEMI–ESPACE
ELASTIQUE HOMOGENE
Jean Duterte, Patrick Joly
N˚ 2324
Juillet 1994
PROGRAMME 6
Calcul scientifique,
modélisation
et logiciel numérique
✍✕☎☞✑✕✖✗✟ ✑✠✘✙✎✚✖✗✡✛✂✁ ✞✠☎✌✂✜ ☎✢✖✢✑✠✡✤✣✥✟ ☎ ✓✦✠✧★✎✒✓✏☎ ✄ ✟ ✄ ☎✩✜ ✡✫✪✬☎✝✆✭✍✏✎✮✧✌☎ ☎☞✓✔✎ ✆✯✖✗✡✤✣✥✟ ☎ ✰ ✂✜ ✠✞✠☎✩✁ ☎ ✱✳✲✵✴✫✶✦✷✹✸✻✺✼✲✾✽✿✺❀✲❂❁✛❃❄✴✫✺❅✽❅❆❈❇✼❉❊✱✳❋✫●■❍❑❏ ▲◆▼P❖✼◗❀▼❙❘❅❚❯❚❯❱❳❲❑❨ ❩✛❘❅❬❪❭❴❫✵❬❛❵❜❭❴❝❞❱❢❡❤❣❜❝❥✐❧❦♠❫✵❱♠♥✼❚♦❖✾♣✤q❱r❬❞❝s❵P❘❅❣P❝❞❖❀❡✬❱r❣t❬❞❖❀◗✼❝❪❭✉❝❞❱r❬✈❡✾❫✵❚✏q❱r▼❜❝❪❦♠❫✵❱ ▲◆▼❜❖✼✇❈❱r❣②①❈♣❤❱r❡✾❣ ③④❘❅⑤✵⑤✈❖✼▼❜❣⑥♣❤❱⑥▼P❱❅❭❙⑦✵❱r▼⑧❭⑨⑦⑩❱❶❡❄❷♦❸✼❹❀❸✿❺❻❨ ❼✼❫✵❝❽❬❞❬❽❱r❣❿❾❢➀✼➀✿❺➁❨ ❸✼➀❀➂❻⑤✈❘❅◗✼❱❅❵ ➃✏➄ ➅✾➆r➇❛➈ ➄ ➅✹➉✻➊ ❖❀❫✈❵t❡✵❖✼❫✈❵t❝❞❡✾❣⑩q❱❢▼P❱❅❵❜❵➋❖✼❡➌❵④❘❅❫✯⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱❳♣❤❱❄❬➏➐➑❱r➒✾❝❪❵❈❣P❱r❡✈❭✉❱④❱r❣②♣✾❫✹❭r❘❅❬❪❭❴❫✵❬❂❡✾❫✵❚➓q❱❢➔ ▼P❝s❦→❫⑩❱➁♣❤❱➁❚❯❖✾♣✾❱❅❵➣◗❀❫✵❝❪♣✛q❱❅❵④⑤✈❘❅▼❿❬❪❘❻⑤✈❱r▼❜❣P❫✵▼❜➍✈❘✿❣❜❝❞❖❀❡↔◗↕q❱r❖✼❚➓q❱❢❣P▼P❝s❦→❫⑩❱➙❬❽❖✾❭r❘✿❬❽❱➁♣✫➐➛❫✵❡➜♣❤❱r❚♦❝❞➔➝❱❅❵➋⑤✈❘❀❭❴❱ q ❱r❬s❘✼❵➋❣❜❝❪❦♠❫✵❱➁❹❀➞✢⑦⑩❖✼❚❯❖❀◗✵➎❱r❡✵❱➠➟✈➡❂❘➢◗↕q❱r❖✼❚➓q❱r❣P▼❜❝❞❱➤♣❤❫✹❚❯❝❽❬❞❝❞❱❢❫✭❱➥❵➋❣②❝❞❡❤✐✈❡⑩❝❞❱➁❱r❣②❝❞❡✾➦❀❘✿▼P❝s❘✿❡✾❣P❱❑♣✵❘✿❡✈❵❿❬s❘ ♣❤❝❽▼P❱❅❭❴❣❜❝❞❖❀❡✹♣❤❱➁⑤✵▼❜❖✼⑤✈❘❅◗♠❘❅❣P❝❞❖❀❡❂➟➧❩✻❱➁⑤⑩▼P❖✼➍⑩❬■➎❱r❚❯❱➤❵❈❱➁▼❙❘✿❚➨➎❱r❡✵❱✬➎❘➩❫✵❡✹⑤✵▼P❖❀➍✵❬➏➎❱❢❚❯❱❄❬❽❝❞❡➫q❱❅❘❅❝❞▼❜❱❄♣✾❱➁➦✼❘❅➔ ❬❞❱❢❫✵▼❙❵✤⑤✵▼❜❖✼⑤✵▼❜❱❅❵❴♥✵⑤✈❖➠❵❤q❱➩♣✵❘❅❡✈❵➣❬s❘➁❵➋❱❅❭✉❣P❝❞❖❀❡➭❸✼➞❊❣❜▼❙❘❅❡✈❵➋➦♠❱r▼⑧❵➋❱➤♣❤❫➭◗✼❫✵❝s♣❤❱♠➟ ➊ ❖❀❫✈❵➣⑤⑩▼✵q❱❅❵❈❱r❡❤❣❜❖✼❡✈❵✤❫⑩❡✵❱ ❚➓q❱r❣❜⑦✵❖✾♣❤❱②❡❤❫⑩❚✏q❱r▼P❝s❦→❫⑩❱t⑤➯❱❢▼P❚❯❱r❣❜❣❙❘❅❡❤❣✛♣❤❱⑥❭❢❘✿❬❪❭✉❫✵❬❞❱r▼✻❬❽❱❅❵➧▼❜❱r❬❪❘❅❣P❝❞❖❀❡✈❵✤♣✾❱⑥♣❤❝❪❵❈⑤✈❱r▼❙❵❈❝❞❖✼❡➭♣❤❱➥❵✤❚❯❖✾♣❤❱❅❵ ❘✿❝❽❡✈❵➋❝✛❦♠❫✵❱♦♣❤❱❻❬❽❱❅❵❿▼P❱r⑤⑩▼✵q❱❅❵❈❱r❡❤❣❜❱r▼r➟❛❩✻❱r❣P❣❜❱❻❚➓q❱❢❣P⑦✵❖✾♣❤❱➩❘➭❭❴❖✼❚♦❚❯❱⑥⑤✵▼P❝❽❡✈❭❴❝❞⑤➌❘✿❬❞❱➩❭❢❘✿▼❙❘❀❭❴❣⑩q❱❢▼P❝❪❵❈❣P❝s❦→❫✵❱ ❦♠❫✵❱④❬❽❱⑥♣❤❖❀❚✬❘✿❝❽❡✵❱❿♣✾❱❿❭r❘❅❬❪❭❴❫⑩❬➯❱➥❵➋❣✤❬❽❝❞❚❯❝❽❣⑩q❱➲➎❘➙❬❪❘➤❵➋❱r❫⑩❬❞❱②⑤➯❱❢▼P❣P❫⑩▼P➍✈❘❅❣P❝❞❖❀❡❂♥✵◗✼▼❀➳❘✼❭❴❱➵➎❘➙❬■➐➛❝❞❡✾❣P▼❜❖✾♣❤❫✈❭❴❣❜❝❞❖✼❡ ♣✫➐➛❫✵❡✵❱➤❭❴❖✼❡➌♣❤❝❞❣❜❝❞❖✼❡➭❘❅❫✵➒✬❬❞❝❞❚♦❝❞❣P❱➥❵➸❣❜▼❙❘❅❡✈❵➋⑤✈❘❅▼P❱r❡✾❣P❱➥❵❄➎❘➁❬■➐➛❝❞❡✾❣P❱r▼❈➺➏❘✼❭❴❱②❱r❡✾❣P▼P❱⑥❬❽❱⑥♣❤❱r❚❯❝❽➔➻❱➥❵➋⑤✈❘❀❭❴❱❿❱r❣t❬s❘ ⑤✈❱r▼P❣❜❫✵▼P➍➌❘✿❣P❝❽❖✼❡❂➟ ➊ ❖✼❫✈❵❄⑤✵▼⑩q❱❅❵➋❱❢❡❤❣❜❖✼❡✈❵❄❬❽❱❅❵❄▼⑩q❱❅❵❈❫✵❬❞❣⑧❘✿❣⑧❵❄❡❤❫✵❚➓q❱r▼P❝s❦→❫✵❱➥❵④❖✼➍✵❣❜❱r❡✾❫✈❵➁❘r➦♠❱❅❭❯♣❤❝➽➼❳q❱❢▼P❱r❡✾❣❙❵ ◗✼❫⑩❝❪♣❤❱❅❵t♣❧➐➑❖✼❡➌♣❤❱❅❵✬q❱r❣P❫✈♣✾❝rq❱❅❵✻⑤✈❘✿▼❳❭❴❱r❣❜❣P❱❿❚➓q❱❢❣P⑦✵❖✾♣❤❱➠➟ ➾✦➚✵➪ ➆❴➶❙➹♠➘ ➄ ➅❻➉❯➴ ❡✈♣❤❱➥❵☛◗✼❫✵❝s♣✤q❱r❱❅❵❂➔❂➷✻❵❈⑤✈❘✼❭❴❱➢q❱❢❬❪❘✼❵❈❣P❝s❦→❫✵❱✛⑦✵❖✼❚♦❖✼◗⑩➎❱❢❡✵❱✤➔ ➴ ⑤tq❱r▼⑧❘✿❣P❱❢❫✵▼✻❘✿❫⑩❣P❖✼➔➏❘✼♣❅✇❈❖✼❝❞❡✾❣ ➔✛▲◆▼P❖✼➍⑩❬■➎❱r❚❯❱➤♣❤❱➤➦❀❘✿❬❞❱❢❫✵▼❙❵t⑤✵▼P❖❀⑤✵▼P❱➥❵➣➔②❩✻❖✼❡✈♣❤❝❽❣P❝❽❖✼❡✹❘❅❫✵➒✬❬❞❝❽❚❯❝❞❣❜❱❅❵➧❣❜▼❙❘✿❡➌❵➋⑤✈❘❅▼P❱r❡✾❣P❱❅❵t➔④❩✛❘❅❬❪❭❴❫⑩❬❛♣❤❱ ▼⑩q❱➥❵➋❝❪♣✾❫✈❵✤➔t❩✻❖✼❫✵▼❜➍➯❱➥❵④♣❤❱➤♣❤❝s❵➋⑤✈❱r▼⑧❵➋❝❞❖❀❡❂➟ ➬❞➮✻➱❐✃➏❒❪❮➏❰❴Ï■❒❪Ð✼Ñ❅❒➝Ò➻Ó ❏→Ô❈Õ➝Ö❛×ØÕ❪Ù✛Ú✼Û❛Ü❴Ý❳Þ⑨ßáà✿â✳ãrâ➧ä✈Ü✉åçæ❀è■âPÞ❙æ✾Ú❅é☛êìë✵êáíPî✉ï✻ð❴ñ❅íPï✉ò✤ó♠â✻ô✫õ❅â❈ö➻à❀ÞP÷❳è■âPãrâ■ø✾Ú♠ù❅ú■Þ❙à❀è■â❴ê
✞✠☎✌✂✜ ☎✚✖✗✑✠✡✛✧ ✍✗☎✩✑✕✖✢✟ ✑✮✘✙✎✚✖✗✡✛✂✁ ✝✆ ✖✗✰ ☎ ✰ ✂✜ ✠✞✠☎☞✁ ☎✌✂✟ ✆ ☎✩✓✔✎ ✆➨✖✗✡✛✧ ✰ ✎✒✓✞✆✠✟❛✆✬✍ ✎✮✧✌☎ ✡☞☛ ➆ ➪✍✌✍✎ ➹ ➪ ➉✑✏ ❱➁❘❅▼P❱➤❝❞❡✾❣P❱r▼❜❱❅❵➋❣❜❱❅♣❻❝❞❡➭❣P⑦✵❱➤⑤✵▼P❖❀➍✵❬❞❱❢❚✌❖✿➺✻❣❜⑦✵❱❄❱❢➒❤❝s❵➋❣P❱❢❡✈❭❴❱⑥❘❅❡✈♣✯❣P⑦✵❱➤❡❤❫⑩❚❯❱r▼P❝s❭r❘✿❬ ❘✿⑤⑩⑤✵▼P❖❅➒✾❝❞❚✬❘❅❣P❝❞❖❀❡✯❖❅➺✤◗❀❫✵❝❪♣✾❱❅♣✹❵➋❫✵▼❈➺➏❘✼❭❴❱✓✒➫❘r➦♠❱❅❵④➍✕✔✯❘❯❬❽❖✾❭r❘✿❬◆◗❀❱r❖✼❚♦❱r❣P▼❜❝❪❭r❘❅❬❂⑤➯❱❢▼P❣P❫⑩▼P➍✈❘❅❣P❝❞❖❀❡✹❖✿➺➣❘ ❹✼➞❶❱r❬s❘✼❵❈❣P❝❪❭t⑦✵❖❀❚❯❖✼◗❀❱r❡✵❱r❖❀❫✈❵➧⑦✈❘❅❬❥➺✗✖→❵➋⑤✈❘❀❭❴❱♠➟✙✘✤⑦✵❱❿◗❀❱r❖✼❚♦❱r❣P▼✚✔❄❖✿➺❛❣❜⑦✵❱❿⑤✵▼❜❖✼⑤✈❘❅◗♠❘❅❣P❝❞❖❀❡✯❚❯❱➥♣❤❝❞❫✵❚✦❝s❵ ❝❞❡✾✐✈❡✵❝❞❣❜❱➤❘✿❡✈♣✯❝❽❡❤➦❀❘✿▼❜❝❪❘❅❡❤❣②➍✛✔♦❣P▼❙❘❅❡✈❵➋❬s❘✿❣❜❝❞❖✼❡✹❝❽❡✯❣❜⑦✵❱❄⑤✵▼❜❖✼⑤✈❘❅◗♠❘❅❣P❝❞❖❀❡ ♣✾❝❞▼P❱➥❭❴❣P❝❽❖✼❡❂➟✜✘✤⑦⑩❝❪❵④⑤✵▼❜❖✼➍✵❬❽❱r❚ ❭r❘❅❡✯➍✈❱➁▼P❱❅♣✾❫✈❭❴❱❅♣❯❣P❖➢❘➵❬❽❝❞❡✵❱❅❘❅▼t❱r❝❞◗❀❱r❡✾➦✼❘❅❬❞❫✵❱⑥⑤✵▼❜❖✼➍✵❬❽❱r❚✥❵➋❱r❣②❝❞❡➭❣P⑦✵❱❑❸✼➞☞❭❴▼P❖➠❵P❵❿❵❈❱❅❭❴❣P❝❽❖✼❡➭❖✿➺✻❣❜⑦✵❱ ⑤✵▼❜❖✼⑤✈❘❅◗♠❘✿❣❜❝❞❖❀❡❯❚❯❱❅♣❤❝❽❫✵❚✹➟ ✏ ❱t⑤⑩▼P❱❅❵❈❱r❡❤❣➸❘④❡❤❫⑩❚❯❱r▼P❝s❭r❘✿❬♠❚♦❱r❣P⑦✵❖✾♣❧♥✿❣❜⑦✈❘✿❣✛❘✿❬❽❬❞❖✍✒②❵☛❫✈❵◆❣❜❖⑥❭❴❖✼❚♦⑤✵❫✵❣P❱ ❣P⑦⑩❱➩♣❤❝❪❵❈⑤➯❱❢▼❙❵➋❝❽❖✼❡➜❭❴❫⑩▼P➦♠❱❅❵t❖✿➺✛❣P⑦⑩❱➁❚❯❖✾♣❤❱❅❵✉♥✫❘❅❡✈♣ ❣❜❖❯▼P❱❢⑤✵▼P❱❅❵❈❱r❡✾❣④❣❜⑦✵❱r❚✹➟✢✘✤⑦✵❱➁⑤✵▼P❝❽❡✈❭❴❝❽⑤✈❘✿❬↕❭⑨⑦➌❘✿▼P➔ ❘✼❭✉❣P❱r▼❜❝❪❵➋❣❜❝❪❭④❖❅➺◆❣❜⑦✵❱❿❚❯❱❢❣P⑦✵❖✾♣❻❝s❵✤❣P⑦✈❘❅❣t❝❞❣②❘❅❬❞❬❞❖✍✒②❵✤❫✈❵✤❣❜❖➁▼P❱❅♣✾❫✈❭❴❱❿❣❜⑦✵❱➤❭❴❖✼❚❯⑤⑩❫✵❣❙❘❅❣P❝❞❖❀❡✈❘✿❬✳♣❤❖✼❚➢❘✿❝❞❡ ❣P❖✬❣❜⑦✵❱❻◗❀❱r❖✼❚♦❱r❣P▼❜❝❪❭r❘❅❬☛⑤✈❱r▼❜❣P❫✵▼❜➍✈❘✿❣❜❝❞❖✼❡✳♥Ø➍✕✔✹❚❯❱❅❘❅❡✈❵④❖❅➺t❣P⑦⑩❱➁❝❞❡✾❣P▼P❖✾♣✾❫✈❭❴❣P❝❽❖✼❡➜❖✿➺➣❘➢❣❜▼❙❘❅❡✈❵➋⑤✈❘❅▼P❱r❡✾❣ ➍✈❖✼❫✵❡➌♣✵❘✿▼✚✔ ❭❴❖✼❡✈♣✾❝❞❣P❝❽❖✼❡✏❖❀❡✏❣P⑦✵❱➭❝❞❡✾❣P❱r▼❈➺➏❘✼❭❴❱✣✒t❝❞❣P⑦ ❣P⑦✵❱✹⑤✈❱r▼❈➺➝❱❅❭❴❣➩⑦✈❘✿❬➽➺✗✖✾❵❈⑤✈❘✼❭❴❱➠➟ ✏ ❱✹⑤✵▼❜❱❅❵➋❱❢❡❤❣ ➦❀❘✿▼❜❝❞❖✼❫➌❵✤❡❤❫✵❚♦❱r▼P❝s❭r❘✿❬✾▼P❱❅❵❈❫✵❬❞❣⑧❵◆❖✼➍✵❣⑧❘✿❝❞❡⑩❱❅♣❻➺➝❖✼▼t♣✾❝❥➼❧❱r▼P❱❢❡❤❣✻◗✼❫⑩❝❪♣❤❱❅❵✻➍✛✔➁❣❜⑦✵❝❪❵✻❡❤❫⑩❚❯❱r▼P❝s❭r❘✿❬✾❚❯❱r❣❜⑦✵❖✾♣✫➟ ✤ ➅✦✥❂➶★✧ ➚✩✌✍✪ ➆❀➉✬✫ ❫✵❝s♣❤❱✭✒➫❘➥➦♠❱➥❵➧➔↕➷➸❬s❘✼❵❈❣P❝❪❭②⑦✵❖✼❚❯❖❀◗✼❱r❡⑩❱r❖✼❫✈❵✻⑦✈❘✿❬➽➺✗✖✾❵❈⑤✈❘✼❭❴❱⑥➔✙✮♠❱r❬➽➺↕❘✼♣✿✇❈❖❀❝❞❡✾❣✤❖✼⑤✈❱r▼❜➔ ❘✿❣❜❱r❫✵▼❿➔②➷◆❝❽◗✼❱r❡✾➦❀❘✿❬❞❫⑩❱➁⑤✵▼P❖❀➍✵❬❞❱r❚ ➔✯✘❂▼❙❘❅❡✈❵➋⑤✈❘❅▼P❱r❡✾❣⑥➍✈❖✼❫✵❡✈♣⑩❘✿▼★✔ ❭❴❖❀❡✈♣❤❝❞❣❜❝❞❖❀❡✹➔t③t❱❅❵➋❝s♣❤❫✵❱❅❵④➔②➞②❝❪❵➋➔ ⑤✈❱r▼❙❵❈❝❞❖❀❡✹❭❴❫✵▼❜➦♠❱❅❵❴➟
✑✻✺✷✼ ✺✾✽✂✿✘❀❁✺❂✼ ✺✷❃✩❄✹❅ ➊ ❖❀❫✈❵➧▼❜❱r❚❯❱r▼⑧❭❴❝❞❖❀❡✈❵Ø⑤➌❘✿▼P❣❜❝❪❭❴❫⑩❬❞❝➏➎❱❢▼P❱r❚❯❱✉❡✾❣❇❆✵▼❙❘❅❡✈❭❴❝s❵➫❩✻❖❀❬❞❬❽❝❞❡✵❖⑥⑤✈❖✼❫✵▼✛❬■➐➛❝❞❡✾❣✵q❱r▼❅➳❱r❣◆❦♠❫❂➐➛❝❞❬✈❘⑥⑤➯❖❀▼P❣⑩q❱➩➎❘❄❭❴❱ ❵➋❫❀✇❈❱r❣r♥✵❱r❣②❵❈❱❅❵➧➺➝▼P❫➌❭❴❣P❱r❫➌❵➋❱❅❵t❵❈❫✵◗✼◗❀❱❅❵➋❣❜❝❞❖✼❡➌❵❴➟ ➊ ❖❀❫✈❵➵▼❜❱r❚❯❱r▼⑧❭❴❝❞❖❀❡✈❵❄❘❅❫✈❵P❵❈❝✘❈②❡✵❡✵❱r➔ ✮♠❖✼⑤⑩⑦✵❝❞❱❊❉✤❖✼❡✵❡✵❱❢❣➁❱r❣✭❩✻⑦⑩▼P❝❪❵❈❣P❝❽❡✵❱➭▲☛❖✼❝❽▼P❝❞❱❢▼➁♣❤❱➭❡✵❖✼❫✈❵♦❘➥➦♠❖❀❝❞▼ ❘✿⑤⑩⑤➯❖❀▼P❣⑩q❱❄❬❞❱❢❫✵▼t❱r➒✾⑤tq❱r▼P❝❽❱r❡✈❭❴❱❳♣✵❘❅❡✈❵④❭✉❱❄♣✾❖✼❚✬❘❅❝❞❡✵❱⑥♣✾❱➙▼❜❱❅❭❙⑦✵❱r▼❙❭❙⑦✵❱♠➟ ➊ ❖❀❫✈❵Ø▼❜❱r❚❯❱r▼⑧❭❴❝❞❖❀❡✈❵✚❆✵▼❙❘✿❡●❋❭❴❖✼❝s❵➸❩✻❬❢q❱r❚❯❱r❡✾❣✈❱r❣❛❼✼❱❅❘✿❡⑩➔■➡✫❖❀❫✵❝❪❵■❍✛❘❅❫✈♣❤❱❅❵❜❭r❘✿❬♠⑤✈❖✼❫⑩▼◆❬■➐á❘✿❝❪♣✾❱✻❦→❫✳➐➑❝❞❬s❵➯❡✵❖❀❫✈❵ ❖✼❡✾❣②♣❤❖❀❡✵❡tq❱r❱➤⑤➯❖❀❫✵▼②❬❪❘❄⑤✈❘❅▼P❣P❝❽❱⑥❚❯❝❪❵❈❱④❱r❡✬❖♠❱r❫⑩➦❤▼❜❱➙❝❽❡❤➺➝❖✼▼❜❚✬❘✿❣❜❝❪❦♠❫✵❱⑥♣❤❱➤❭❴❱❳❣P▼❙❘r➦❀❘✿❝❽❬■➟ ➊ ❖❀❫✈❵❻▼P❱❢❚❯❱r▼❙❭✉❝❞❖✼❡➌❵❄❘✿❫➌❵P❵➋❝❳❣P❖✼❫➌❵❯❭❴❱r❫✵➒ ❦→❫✵❝②❖✼❡✾❣♦❭❴❖✼❡✾❣P▼❜❝❞➍✵❫➫q❱➠♥◆❚↔➳❱r❚❯❱➩❝❞❡✈♣✾❝❞▼P❱➥❭❴❣P❱r❚♦❱r❡❤❣❢♥✻➎❘↔❬s❘ ▼⑩q❱➥❘✿❬❞❝s❵P❘❅❣P❝❞❖❀❡➭♣❤❱➤❭❴❱⑥❣P▼❙❘r➦❀❘✿❝❽❬■➟
☛ ☞✍✌ ✎✑✏ ✒ ✏✔✓ ✕ ☞✗✖✙✘✛✚✏✢✜✙✏✢✓ ✣ ✤ ➅✦✥ ✌❅➚✩☛ ➘★✧➅✾➈ ➅ ➪✪✩❄➄ ➅ ➚✩✌✪✫✭✬ ➇❛➅ ✣✯✮ ❾✼➟❽❾ ▲☛❖➠❵➋❝❞❣❜❝❞❖❀❡✹♣❤❫✬⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✱✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾r➂ ❾✼➟❽❾✼➟❽❾ ✫ q ❱❢❖✼❚➓q❱r❣❜▼P❝❽❱⑥♣❤❫✬⑤✵▼P❖❀➍✵❬➏➎❱❢❚❯❱④⑤⑩⑦✛✔⑩❵➋❝s❦→❫✵❱ ✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾r➂ ❾✼➟❽❾✼➟á❸ ▲➸❬s❘✿❡➨♣❤❫➭❭⑨⑦✈❘❅⑤✵❝❞❣❜▼P❱ ✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾✼❾ ❾✼➟á❸ ❆✵❖✼▼❜❚❻❫✵❬s❘✿❣❜❝❞❖✼❡➢♣❤❫✯⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✳✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾✼❾ ❾✼➟á❸❤➟❽❾ ➷➧❦♠❫✈❘❅❣P❝❞❖❀❡✈❵②♣❤❫✯⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✦✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾✼❾ ❾✼➟á❸❤➟á❸ ▲➸▼⑩q❱❅❵➋❱❢❡❤❣⑧❘✿❣P❝❽❖✼❡➨♣❤❱❅❵✤❖✼❡➌♣❤❱❅❵t◗✼❫✵❝s♣✤q❱r❱❅❵ ✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾r❸ ❾✼➟á❹ ❆✵❖✼▼❜❚❻❫✵❬s❘✿❣❜❝❞❖✼❡♦❚✬❘✿❣❜⑦tq❱r❚✬❘❅❣P❝❪❦♠❫✵❱②♣❤❫➭⑤✵▼P❖❀➍✵❬➏➎❱❢❚❯❱ ✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾r❹ ❾✼➟á❹❤➟❽❾ ▲◆❘✼❵❜❵P❘✿◗❀❱➭➎❘❄❫✵❡✯⑤⑩▼P❖✼➍⑩❬■➎❱r❚❯❱❳❸✼➞ ✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾r❹ ❾✼➟á❹❤➟á❸ ❆➌❖❀▼P❚➩❫✵❬❪❘❅❣P❝❽❖✼❡❯➦❀❘✿▼❜❝❪❘❅❣P❝❞❖❀❡✵❡✵❱r❬❽❬❞❱⑥♣✾❫✯⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✵✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾r❲ ❾✼➟á❹❤➟á❹ ➡✫❱❄⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱❳♣❤❱⑥➦✼❘❅❬❞❱r❫⑩▼❙❵✤⑤✵▼❜❖✼⑤✵▼❜❱❅❵ ✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾✷✶ ❾✼➟➛❺ ➷◆❣P❫✈♣✾❱➁❵➋⑤✈❱❅❭✉❣P▼❙❘❅❬❞❱⑥♣✾❫✯⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✵✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾r➀ ❾✼➟➛❺✵➟❽❾ ③④❘❅⑤✵⑤✈❱r❬❪❵②♣❤❱⑥❣P⑦➫q❱❢❖✼▼P❝❽❱➤❵➋⑤✈❱❅❭❴❣❜▼❙❘✿❬❽❱✸✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾r➀ ❾✼➟➛❺✵➟á❸ ✮♠⑤✈❱❅❭❴❣P▼❜❱⑥❱❅❵P❵❈❱r❡❤❣❜❝❞❱r❬✳♣❤❱ ❈✲✹✻✺✽✼✛✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❸✼➂ ❾✼➟➛❺✵➟á❹ ✮♠⑤✈❱❅❭❴❣P▼❜❱➤♣❤❝❪❵❜❭❴▼P❱r❣②♣✾❱✷❈✳✹✻✺✽✼✾✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❹✿✶ ❀ ➃ ➅❂❁ ➚✩✌ ➈➜➇❛➘ ✎❤➪❃✫➻➚❅❄ ➅ ❄ ➇ ❄ ✥ ✌❅➚✩☛ ➘★✧➅✾➈ ➅ ☛✻➚✩✌✪❄❄➄ ➅➁➅ ➪ ✥ ✌✪✫✭❄ ➹ ✫ ✥➧➅ ✪ ➅➁➆ ✎☞✌☛➄ ➅❤➆ ➚ ➘➝➇ ➪❃✫➻➚❅❄ ❄ ➇❛➈ ➄ ➅ ✌✪✫❆✬ ➇☛➅ ❇❅❈ ❸❤➟❽❾ ➡✫❱❄⑤⑩▼P❖✼➍⑩❬■➎❱r❚❯❱➭q❱❅❦♠❫✵❝❞➦❀❘❅❬❞❱r❡✾❣✤➍✈❖✼▼❜❡tq❱♠♥✵❫✵❡⑩❱➙⑤⑩▼P❱r❚❯❝➏➎❱r▼P❱t➺➝❖✼▼❜❚❻❫⑩❬❪❘✿❣❜❝❞❖❀❡ ✰✲✰✛✰✳✰✴✰ ❺✵❾ ❸❤➟❽❾✼➟❽❾ ❉④❡✵❱➁❡✵❖❀❫✵➦♠❱r❬❞❬❽❱➁❭❴❖❀❡✈♣❤❝❽❣P❝❞❖❀❡➜❘✿❫✵➒➭❬❞❝❽❚❯❝❞❣❜❱❅❵❴♥✾❝❞❡✾❣P▼P❖✾♣✾❫✈❭❴❣P❝❽❖✼❡➜♣❤❱➁❬➏➐➑❖❀⑤tq❱r➔ ▼❙❘✿❣❜❱r❫✵▼ ✮❅✹❋❊❍●✟✺■✼❏✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❺✵❾ ❸❤➟❽❾✼➟á❸ ❉④❡✬❡✵❖✼❫✵➦♠❱❢❬❂❖✼⑤➫q❱r▼⑧❘✿❣❜❱r❫✵▼ ✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❺♠❲ ❸❤➟❽❾✼➟á❹ ➞④❱❅❵②♣❤❝▲❑➢❭❴❫✵❬❽❣✵q❱❅❵✛❘➥➦♠❱➥❭④❬■➐➛❖✼⑤➫q❱r▼⑧❘✿❣❜❱r❫✵▼t♣✾❱➙➍✈❖❀▼❙♣ ✮▼✹❋❊◆●✟✺✽✼✳✰✲✰✛✰✲✰✛✰✳✰✴✰ ❖✼➂ ❸❤➟á❸ ❩✻❖✼❡✾❣P❖❀❫✵▼P❡⑩❱r❚❯❱r❡✾❣t♣❤❱⑥❬s❘➁♣❤❝▲❑➢❭❴❫✵❬❽❣✵q❱❿❱r❣t▼❜❱❴➺➝❖✼▼❜❚❻❫⑩❬❪❘✿❣❜❝❞❖❀❡❯♣❤❫➭⑤✵▼P❖❀➍✵❬➏➎❱❢❚❯❱④➍✈❖❀▼P❡➫q❱ ❖✼➂ ❸❤➟á❸❤➟❽❾ ▲➸▼❜❝❞❡✈❭✉❝❞⑤✈❱➤♣❤❱⑥❬❪❘➁❵➋❖❀❬❞❫✵❣❜❝❞❖❀❡❂♥✵❝❞❡✾❣P▼❜❖✾♣❤❫✈❭❴❣❜❝❞❖✼❡➭♣❤❱⑥❬➏➐➑❖✼⑤➫q❱r▼❙❘❅❣P❱r❫✵▼✯✘P✹◗❊◆●✟✺✽✼ ❖✼➂ ❸❤➟á❸❤➟á❸ ➷➧❭✉▼P❝❞❣❜❫✵▼P❱②♣✾❫❻⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✛♣✵❘❅❡✈❵➧❬s❘④⑤✈❱r▼P❣❜❫✵▼P➍✈❘❅❣P❝❽❖✼❡♦❘➥➦♠❱➥❭➧❬■➐➛❖✼⑤➫q❱❢▼❙❘✿❣❜❱r❫✵▼ ✘P✹❋❊◆●✟✺✽✼✾✰✳✰✴✰✳✰✛✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❖❘❖ ❸❤➟á❹ ➡✫❱❅❵t◗✼▼⑧❘✿❡✈♣❤❱➥❵➣❬❽❝❞◗✼❡⑩❱❅❵t♣❤❱⑥❬❪❘❄❚➓q❱❢❣P⑦✵❖✾♣❤❱❳❡❤❫✵❚➓q❱r▼P❝s❦→❫✵❱❙✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❖✿✶ ❸❤➟á❹❤➟❽❾ ➷➧❭✉▼P❝❞❣❜❫✵▼P❱⑥❚✬❘❅❣P▼❜❝❪❭❴❝❽❱r❬❞❬➽❱②♣❤❫➭⑤✵▼P❖❀➍✵❬➏➎❱r❚♦❱❿❘r➦♠❱❅❭④❬➏➐➑❖❀⑤tq❱r▼❙❘❅❣P❱r❫⑩▼✯✘P✹❋❊◆●✟✺✽✼❚✰ ❖✿✶ ❸❤➟á❹❤➟á❸ ③➣❱r❣❜❖✼❫✵▼❑➎❘❄❬■➐➛❖✼⑤➫q❱❢▼❙❘✿❣❜❱r❫✵▼✭✮❅✹◗❊◆●✟✺✽✼❯✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❖❘❱ ❸❤➟á❹❤➟á❹ ➡✫❱❄⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱②❡❤❫✵❚➓q❱r▼P❝s❦→❫✵❱t✐✈❡✈❘❅❬✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❖✼➀ ❸❤➟➛❺ ❉✤❝❞❬s❘✿❡✬❱r❣t❣❜▼❙❘r➦❀❘✿❝❞❬➸➎❘➵➦♠❱❢❡✵❝❞▼❲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❲✼➂
❇ ✤ ➅➭➹ ✎ ➘➻➹♠➇❛➘ ✪ ➅✯➘✁ ➚ ✥ ➄ ➅ ✌ ✎✾➪ ➅❤➇ ✌ ✘P✹❋❊◆●✟✺✽✼ ✂ ✣ ❹❤➟❽❾ ▲◆▼P❱r❚♦❝■➎❱r▼❜❱➭q❱❅❭✉▼P❝❞❣❜❫✵▼P❱➲♣❤❱☎✄✘P✹❋❊◆●✟✺✽✼ ✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❲❤❾ ❹❤➟á❸ ➞④❱r❫⑩➒❤❝➏➎❱r❚❯❱➭q❱❅❭❴▼P❝❽❣P❫✵▼❜❱⑥♣❤❱✆✄✘P✹❋❊❍●✟✺■✼ ✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❲❘❖ ✝ ✞ ✎ ➘➝➹♠➇☛➘ ✪ ➅ ➘ ✎ ❁ ➚✩✌ ➈ ➅ ☛✑✫ ➘ ✫✭❄❄➄ ➅ ✎ ✫ ✌ ➅ ☛✠✟ ❊◆●✟✺☛✡✌☞ ●✎✍✑✏ ✎ ➆❢➆ ➚ ➹ ✫✼➄ ➅✾➅ ✧ ✎ ➘✁ ➚ ✥ ➄ ➅ ✌✍✎❤➪ ➅❤➇ ✌ ✪ ➅ ☛✻➚✩✌✍✪ ✘❚✹❋❊❍●✟✺■✼ ✒ ❀ ❺✵➟❽❾ ➷◆➒❤⑤⑩▼P❱❅❵❜❵➋❝❞❖❀❡✯❱r❡★❆✵❖✼❫⑩▼P❝❞❱❢▼t♣❤❱➤➍ ✹❋❊◆● ✺✓✡✌☞ ●✔✍✛✼P✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ✶❅❸ ❺✵➟á❸ ❩✻⑦✵❖❀❝❞➒✬❱❴➼❧❱❅❭❴❣❜❫tq❱❅❵➧⑤✈❖❀❫✵▼④❬s❘❻♣✾❝❪❵P❭✉▼✵q❱r❣❜❝❪❵P❘❅❣P❝❽❖✼❡ ✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ✶r❺ ❺✵➟á❸❤➟❽❾ ❩✻⑦✵❖✼❝❽➒✯♣✾❱❅❵✤❱❅❵➋⑤➌❘✼❭❴❱❅❵t♣❧➐ç❘✿⑤⑩⑤✵▼P❖❅➒✾❝❞❚✬❘❅❣P❝❞❖❀❡ ✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ✶r❺ ❺✵➟á❸❤➟á❸ ✘Ø▼⑧❘✿❡✈❵■➺➝❖✼▼P❚➓q❱r❱➤♣❤❱ ❆➌❖❀❫✵▼P❝❽❱r▼t♣❧➐➑❫✵❡✵❱❿➺➝❖❀❡✈❭❴❣P❝❽❖✼❡➨♣❤❱⑥➍✈❘✼❵❈❱ ✰✲✰✛✰✲✰✛✰✳✰✴✰ ✶r❺ ❺✵➟á❸❤➟á❹ ❈④⑤✵⑤✵▼❜❖✿➒✾❝❞❚➢❘✿❣P❝❽❖✼❡✬♣✾❱➙➍ ✹❋❊◆●✟✺☛✡✌☞ ●✎✍✴✼ ✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ✶✪❖ ❺✵➟á❹ ➡❂❘➁❚✬❘✿❣❜▼P❝❪❭✉❱⑥❘✼❵❜❵➋❖✾❭❴❝❢q❱r❱♦➎❘➵➍ ✹◗❊◆●✟✺☛✡✌☞ ●✔✍✛✼ ✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ✶❅❲ ❺✵➟á❹❤➟❽❾ ❆➌❖❀▼P❚✬❘❅❣P❝❽❖✼❡➭♣❤❱⑥❬❪❘❄❚✬❘❅❣P▼❜❝❪❭❴❱ ✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ✶❅❲ ❺✵➟á❹❤➟á❸ ➡✫❱❅❵➣❝❽❡❤❣⑩q❱r◗✼▼⑧❘✿❬❽❱❅❵❿➎❘➩❭r❘✿❬s❭❴❫✵❬❽❱r▼ ✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ✶❅➀ ❺✵➟á❹❤➟á❹ ✕④❫⑩❱r❬❪❦♠❫✵❱❅❵✤⑤✵▼❜❖✼⑤✵▼❜❝❢q❱r❣⑩q❱❅❵t♣❤❱⑥❬❪❘❄❚➢❘✿❣P▼❜❝❪❭❴❱✗✖ ✘✙✘ ✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❱✼➂ ❺✵➟➛❺ ❉④❡✬⑤✵▼❜❱r❚❯❝❞❱❢▼✤❭❙⑦✵❖❀❝❞➒➩❡❤❫✵❚➓q❱r▼P❝s❦→❫✵❱②❝❞❚♦⑤➯❖❀▼P❣⑧❘✿❡✾❣✙✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❱✼❹ ❺✵➟❖ ③t❱❴➺➝❖✼▼❜❚❻❫✵❬s❘✿❣❜❝❞❖✼❡➢♣❤❱❅❵✤❝❞❡✾❣⑩q❱❢◗✼▼❙❘❅❬❞❱❅❵❳➎❘❻❭❢❘✿❬❪❭✉❫✵❬❞❱r▼❙✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❱✼❹ ❺✵➟❖❤➟❽❾ ③➣❱r❚➢❘✿▼❙❦♠❫✵❱⑥❵❈❫✵▼t❬❞❱⑥⑤✈❖✼❬✔❤❡↕➳❖✼❚❯❱⑥➞✳✹✛✚✢✜ ✼ ✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❱✼❹ ❺✵➟❖❤➟á❸ ➊ ❖✼❫✵➦♠❱❢❬❞❬❞❱❳⑤✵▼⑩q❱❅❵❈❱r❡✾❣❙❘✿❣❜❝❞❖❀❡✯♣✾❱❅❵✤❝❞❡✾❣⑩q❱r◗❀▼❙❘❅❬❞❱❅❵✵✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❱✿❺ ✣ ✞ ✎ ➘➝➹♠➇☛➘ ✪ ➅❤➆ ✫❆❄➯➪❛➄ ➅✥✤ ✌✍✎ ➘➝➅❤➆ ❼ ✹✧✦ ●✌★ ✼✎✩↕① ✹✪✦ ●✌★ ✼✌✩↕①✬✫✪✹✪✦ ●✌★ ✼ ➅ ➪✮✭✙✹✧✦ ●✌★ ✼ ✯✰✒ ❖❤➟❽❾ ➷◆❣P❫✈♣✾❱➁♣❤❱❅❵t♣✛q❱r❡✵❖✼❚♦❝❞❡✈❘❅❣P❱r❫✵▼⑧❵P✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❱❘❱ ❖❤➟❽❾✼➟❽❾ ➷➸❣❜❫✈♣❤❱❑♣❤❱⑥❬❪❘➙➺➝❖✼❡➌❭❴❣P❝❽❖✼❡➭♣❤❱➤③④❘ ✔✾❬❞❱r❝❽◗✼⑦ ✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❱❘❱ ❖❤➟❽❾✼➟á❸ ❈④⑤✵⑤✵❬❽❝❪❭r❘❅❣P❝❞❖❀❡➭♣❤❱⑥❬■➐❜q❱❢❣P❫✈♣❤❱➲♣❤❱✲✱✑✹➻➒❅✼❳➎❘➁▲ ✹✛✚✢✜ ✼ ✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ➀✿✶ ❖❤➟á❸ ③✬q❱❅❵➋❫✵❬❽❣❙❘❅❣❙❵②♣❤❱❅❵t❭r❘❅❬❪❭❴❫✵❬s❵ ✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢➂✿❺ ✂ ✞ ✎ ➘➝➹♠➇☛➘ ✪ ➅❤➆ ✎ ➇ ➪✍✌ ➅✾➆ ❁ ➚ ✌ ➈ ➅✾➆ ☛ ✫ ➘ ✫✭❄❄➄ ➅ ✎ ✫ ✌ ➅✾➆ ✣ ✣ ✯ ❲❤➟❽❾ ❩✛❘✿❬s❭❴❫✵❬❛♣❤❱⑥❬s❘➙➺➝❖✼▼P❚♦❱❿➍✵❝❞❬❽❝❞❡➫q❱➥❘✿❝❞▼❜❱⑥❘✴✳ ✹ ✺✓✡P❫ ●P➦ ✼ ✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❀❾ ❱ ❲❤➟❽❾✼➟❽❾ ③④❘❅⑤✵⑤✈❱r❬❪❵②❵➋❫✵▼②❬■➐❜q❱r❬❢q❱❢❚❻❱r❡✾❣☛✐✈❡⑩❝❛▲✓✵✂✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❸✼➂ ❲❤➟❽❾✼➟á❸ ❈④⑤✵⑤✵❬❽❝❪❭r❘❅❣P❝❞❖❀❡ ➎❘❄❬❪❘➙➺➝❖✼▼❜❚❯❱❿➍✵❝❽❬❞❝❽❡tq❱❅❘✿❝❽▼P❱⑥❘✶✳ ✹✻✺☛✡P❫ ●P➦ ✼ ✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❸✿❺ ❲❤➟❽❾✼➟á❹ ❈❿❵P❵❈❱r❚❻➍⑩❬❪❘✿◗❀❱⑥♣❤❱⑥❬❪❘❄❚➢❘✿❣P▼❜❝❪❭❴❱✗✖✡❈✸✷✹✘❂✹ ✺■✼✗✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❹❤❾ ❲❤➟á❸ ❩✛❘✿❬s❭❴❫✵❬❛♣❤❱⑥❬s❘➙➺➝❖✼▼P❚♦❱❿➍✵❝❞❬❽❝❞❡➫q❱➥❘✿❝❞▼❜❱ ✹❪❫ ●P➦ ✼ ✳ ✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❹❤❾ ❲❤➟á❹ ➞④❝s❵P❭❴▼⑩q❱r❣P❝s❵P❘✿❣❜❝❞❖❀❡✯♣✾❱❅❵✤❖✼⑤➫q❱❢▼❙❘✿❣❜❱r❫✵▼⑧❵④♣❤❱➤❭❴❖❀❫✵⑤✵❬s❘✿◗✼❱➩❩ ❱❢❣❿❩☛✺ ✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❹✼❸ ✒ ✻ ✫ ➘ ✎ ❄ ✪ ➅✹➘ ✎ ✪✑✫ ➆r➹ ✌☛➄ ➅ ➪✪✫ ➆ ✎❤➪✪✫➝➚ ❄ ➅ ➪ ➹ ➚ ➈ ✥❛➘ ➄ ➅❤➈ ➅ ❄➯➪ ➆ ✪ ➚ ✌✍✪ ✌ ➅ ❄ ➇❛➈ ➄ ➅ ✌✪✫❆✬ ➇☛➅ ✣ ❇ ✣ ✶♠➟❽❾ ❉✤❝❞❬s❘✿❡➭♣❤❱⑥❬❪❘➁♣✾❝❪❵P❭✉▼✵q❱r❣❜❝❪❵P❘❅❣P❝❽❖✼❡ ➎❘✴❊✏❱r❣◆✺✯✐✈➒✛q❱❅❵ ✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❹❘❖ ✶♠➟á❸ ❈④❬❽❬❞❫✵▼❜❱⑥♣❤❱⑥❬❪❘❄❚✬❘❅❣P▼❜❝❪❭❴❱✗✖✡❆✼✷✽✘ ✹❋❊◆●✟✺✽✼✙✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❹✿✶ ✶♠➟á❹ ❩✻⑦✵❖❀❝❞➒➭♣❤❱⑥❬❪❘❄❚➓q❱❢❣P⑦✵❖✾♣❤❱➲♣❤❱➤❭r❘✿❬s❭❴❫✵❬❂♣✾❱❅❵✤➦❀❘✿❬❞❱❢❫✵▼❙❵t⑤✵▼P❖❀⑤✵▼P❱➥❵ ✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❹❘❱ ✯ ✤ ✎✓✌☛➄ ➅✾➆ ➚ ➘➻➇ ➪✪✫➝➚ ❄ ✪ ➇ ✥ ✌❅➚ ☛ ➘★✧➅❤➈ ➅ ✪ ✫ ➆❢➹ ✌ ➅ ➪ ➉♠➘ ✎✓✌ ➅❤➹ ✩ ➅ ✌ ➹ ✩ ➅ ✪ ➅❤➆t➈ ➚ ✪ ➅❤➆☛✤✈➇ ✫✪❄➄ ➅❤➆ ✣✾✝❅✮ ❱❤➟❽❾ ➞➭q❱r❣❜❱❅❭❴❣❜❝❞❖✼❡➭♣❤❱➥❵✤❚❯❖✾♣❤❱❅❵✤◗❀❫✵❝❪♣✛q❱➥❵✤⑤➯❖❀❫✵▼②❫✵❡✵❱⑥➦❀❘✿❬❞❱❢❫✵▼②♣❤❱✳✺ ♣❤❖❀❡✵❡tq❱r❱❲✰✲✰✛✰✳✰✴✰ ❾✉❺✵❾ ❱❤➟á❸ ➞④❱❅❵❜❭❴▼P❝❽⑤✵❣P❝❽❖✼❡➭♣❤❱⑥❬❪❘❄❣❜❱❅❭❙⑦✵❡✵❝❪❦♠❫✵❱⑥♣✾❱➙➦❀❘❅❬❞❝❪♣⑩❘✿❣P❝❽❖✼❡➭♣❤❱⑥❬❪❘❄❚➓q❱r❣P⑦✵❖✾♣✾❱ ✰✛✰✲✰✛✰✳✰✴✰ ❾✉❺♠❸ ❱❤➟á❹ ▲◆▼P❝❽❡✈❭❴❝❞⑤✈❱➤♣❤❫✬❣P▼⑧❘✼❭❧q❱➤♣❤❱➥❵t❭❴❖✼❫✵▼❜➍✈❱❅❵④♣✾❱❄♣✾❝❪❵➋⑤✈❱r▼⑧❵➋❝❽❖✼❡✹♣✾❱❅❵✤❚❯❖✾♣❤❱❅❵✤◗❀❫✵❝❪♣✛q❱❅❵ ✰✳✰✴✰ ❾✉❺❂❖
❈ ➃ ➄ ➅✾➆r➇☛➘ ➪✍✎❤➪ ➆ ❄ ➇❛➈ ➄ ➅ ✌✪✫✭✬ ➇❛➅✾➆ ✣✥✝ ✯ ➀❤➟❽❾ ❍✛❘✿❬❽❝❪♣✵❘❅❣P❝❞❖❀❡➭♣❤❱⑥❬❪❘❄⑤✈❘❅▼P❣P❝❽❱➜q❱r❬❢q❱r❚♦❱r❡❤❣⑧❵☛✐✈❡✵❝❪❵t▲t❾ ✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾✉❺❂❱ ➀❤➟❽❾✼➟❽❾ ➡✫❱❄◗✼❫⑩❝❪♣❤❱➤♣✫➐➛❖✼❡✈♣❤❱➥❵t❭❴❝❞▼⑧❭❴❫✵❬❪❘❅❝❞▼❜❱ ✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾✉❺❂❱ ➀❤➟❽❾✼➟á❸ ➡✫❱❄❚✬❘❅❝❞❬❞❬s❘✿◗❀❱④❫✵❣❜❝❞❬❽❝❪❵✾q❱ ✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾ ❖✼❸ ➀❤➟❽❾✼➟á❹ ➷➸➒✾❱r❚❯⑤⑩❬❞❱❳♣✫➐ç❘❀❵➋⑤✈❱❅❭❴❣❳♣✫➐➑❫⑩❡✭❚♦❖✾♣❤❱❿◗✼❫⑩❝❪♣✛q❱ ✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾ ❖✿❺ ➀❤➟á❸ ➡✫❱❄⑤⑩▼P❖✼➍⑩❬■➎❱r❚❯❱②❚❯❖✾♣❧➎❱❢❬❞❱✁♠⑤✈❱r▼P❣❜❫✵▼P➍➌❘✿❣P❝❽❖✼❡➭❱r❡❯➺➝❖✼▼P❚♦❱⑥♣❤❱⑥❣P▼❜❝❪❘✿❡⑩◗✼❬❞❱ ✰✛✰✲✰✛✰✳✰✴✰ ❾ ❖✿✶ ➀❤➟á❸❤➟❽❾ ✂✯❖✼❣P❝❽➦❀❘✿❣P❝❽❖✼❡➨♣❤❱➤❭❴❱⑥❭❙⑦✵❖✼❝❽➒ ✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾ ❖✿✶ ➀❤➟á❸❤➟á❸ ➡❂❘❯♣✤q❱r❣❜❱❅❭❴❣P❝❽❖✼❡✬♣✾❱❅❵✤❚❯❖✾♣❤❱❅❵✤◗❀❫✵❝❪♣✛q❱❅❵✤⑤✈❖✼❫✵▼ ✺ ✐✈➒✛q❱ ✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾ ❖✼➀ ➀❤➟á❸❤➟á❹ ➡❂❘❻➦❀❘✿❬❞❝s♣✵❘✿❣❜❝❞❖❀❡✯♣✛q❱❴✐✈❡✵❝❽❣P❝❞➦♠❱❳♣❤❱⑥❬❪❘❄❚➓q❱r❣P⑦✵❖✾♣✾❱✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❲✼❹ ➀❤➟á❸❤➟➛❺ ❩✻❖✼❫✵▼❜➍➯❱➥❵❿♣❤❱➤♣❤❝❪❵❈⑤✈❱r▼❙❵❈❝❞❖✼❡ ✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❲❘❖ ➀❤➟á❸❤➟❖ ❈④❬❞❬❽❫✵▼P❱⑥♣✾❱❅❵✤❚❯❖✾♣❤❱❅❵✤◗❀❫✵❝❪♣✛q❱❅❵ ✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢❲✼❲ ➀❤➟á❹ ▲☛❱r▼❜❣P❫✵▼❜➍✈❘✿❣❜❝❞❖❀❡✯❱r❡❯➺➝❖✼▼❜❚❯❱❳♣❤❱❄➦✾❝❞❣❜▼❙❘✿❝❽❬✂✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾ ❱❤❾ ➀❤➟á❹❤➟❽❾ ➞④❱❅❵P❭✉▼P❝❞⑤⑩❣P❝❞❖❀❡➭♣❤❱⑥❬❪❘❄⑤✈❱r▼P❣❜❫✵▼P➍➌❘✿❣P❝❽❖✼❡ ✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾ ❱❤❾ ➀❤➟á❹❤➟á❸ ❩✻❖✼❫✵▼❜➍➯❱➥❵❿♣❤❱➤♣❤❝❪❵❈⑤✈❱r▼❙❵❈❝❞❖✼❡ ✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾ ❱✼❸ ➀❤➟á❹❤➟á❹ ❈④❬❞❬❽❫✵▼P❱⑥♣✾❱❅❵✤❚❯❖✾♣❤❱❅❵✤◗❀❫✵❝❪♣✛q❱❅❵ ✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾ ❱✼❹ ✡ ✄✔➄ ➅ ➪✍✎ ✫ ➘ ✪ ➇ ➹ ✎ ➘➻➹♠➇❛➘ ✪ ➅✾➆ ✫❆❄➯➪❛➄ ➅✾✤ ✌✍✎ ➘➻➅✾➆ ❼ ✹✧✦ ●✌★ ✼✲✩◆①❅✹✧✦ ●✌★ ✼ ✩✻① ✫ ✹✧✦ ●✌★ ✼ ➅ ➪✮✭ ✹✦ ●✌★ ✼ ➉ ✣ ❈ ✣ ❈❄➟❞❾ ❩✛❘✿❬s❭❴❫✵❬❛♣❤❱➤❼ ✹✧✦ ●✌★ ✼ ✰✳✰✛✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢➀❤❾ ❈❄➟❽❾✼➟❞❾ ❩✛❘✼❵④❖❧➎❫ ✦✆☎ ➂ ✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢➀✼❸ ❈❄➟❽❾✼➟ç❸ ❩✛❘✼❵④❖❧➎❫ ✦✞✝✏➂ ✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰ ❾❢➀✿❺ ❈❄➟ç❸✠❩✛❘✿❬s❭❴❫✵❬❛♣❤❱➤①❅✹✧✦ ●✌★ ✼✛❱r❣②① ✫ ✹✪✦ ●✌★ ✼ ✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰➜❸❀➂❘❖ ❈❄➟á❸❤➟❞❾ ❩✛❘✼❵④❖❧➎❫ ✦✆☎ ➂ ✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰➜❸❀➂✿✶ ❈❄➟á❸❤➟ç❸ ❩✛❘✼❵④❖❧➎❫ ✦✞✝✏➂ ✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰➜❸❀❸✼➂ ❈❄➟ç❹✠❩✛❘✿❬s❭❴❫✵❬❛♣❤❱✲✭✙✹✧✦ ●✌★ ✼✙✰✳✰✛✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰➜❸❅❺♠❲ ❈❄➟á❹❤➟❞❾ ❩✛❘✼❵④❖❧➎❫ ✦✆☎ ➂ ✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰➜❸❅❺❂❱ ❈❄➟á❹❤➟ç❸ ❩✛❘✼❵④❖❧➎❫ ✦✞✝✏➂ ✰✲✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰✳✰✛✰✲✰✛✰✛✰✲✰✛✰✲✰✛✰✲✰✛✰✳✰✴✰➜❸❀❲✼➂
✂✁ ✖ ✜☎✄ ✒ ✆ ✝ ✖✙✘✞✄ ✁ ➡✫❱➭♣❤❖✼❚✬❘❅❝❞❡✵❱➩❚✬❘❅❣P⑦➫q❱r❚➢❘✿❣P❝s❦→❫⑩❱➁♣❤❱✬❬❪❘✬⑤✵▼P❖❀⑤✈❘✿◗➠❘✿❣❜❝❞❖✼❡➓♣❤❱❅❵⑥❖✼❡✈♣❤❱➥❵ ❱r❬❪❘❀❵➋❣P❝s❦→❫⑩❱❅❵❴♥❛▼✵qq ❱r◗❀❝✤⑤✈❘❅▼ ❬❞❱➥❵❯q❱❅❦→❫➌❘✿❣P❝❽❖✼❡✈❵②♣❤❱⑥❬■➐❜q❱r❬❪❘❀❵➋❣❜❖✾♣✛✔❤❡➌❘✿❚❯❝s❦→❫✵❱➠♥❤❘ ❱r❣⑩qq ❱➙❬s❘✿▼❜◗✼❱r❚❯❱❢❡❤❣➩q❱r❣❜❫✈♣❤❝❢q❱⑥⑤✈❘❅▼❿♣✾❱➙❡⑩❖✼❚➩➍✵▼P❱r❫⑩➒❯❘❅❫✵➔ ❣P❱❢❫✵▼❙❵✉♥→❣❜❱r❬❪❵ ❈❿❭❙⑦✵❱r❡✾➍✈❘✼❭❙⑦ ✖❥❾✎✘■♥☞❈④❫✵❬s♣ ✖➑❹ ✘■♥⑩➷◆▼P❝❞❡⑩◗✼❱r❡❯❱❢❣ ✮➠❫✵⑦❤❫⑩➍✵❝☛✖➛❸✿❺ ✘➏♥ ✂✯❝✧✚✾❬❞❖✍✒t❝❞❣✠✟✲✖➑❹✼❲ ✘➏➟✾▲◆❘✿▼❜❚❯❝ ❬❞❱➥❵➙❖✼❡➌♣❤❱❅❵➩❵➋❱❯⑤✵▼❜❖✼⑤✈❘❅◗✼❱❅❘❅❡❤❣♦♣✵❘❅❡✈❵❻♣✾❱❅❵❄❚❯❝❞❬❽❝❞❱r❫⑩➒ ❱❢❬❪❘✼❵❈❣P❝s❦→❫✵❱➥❵❴♥Ø✐➌◗✼❫✵▼❜❱r❡❤❣➤❬❞❱❅❵❄❖❀❡✈♣❤❱❅❵➁♣✾❱✬❵➋❫✵▼❜➔q ➺➏❘✼❭✉❱❅❵❴♥✾❦♠❫✵❝✫❖❀❡❤❣➫❭❴❖✼❚❯❚♦❱✤⑤✈❘❅▼P❣P❝s❭❴❫✵❬s❘✿▼P❝❽❣⑩q❱❅❵✻♣✫➐❪➳❱r❣P▼❜❱④◗❀❫✵❝❪♣✛q❱r❱❅❵➧⑤➌❘✿▼✤❬s❘❄❵❈❫✵▼➋➺➏❘❀❭❴❱⑥♣✫➐➛❫✵❡✬❭❴❖❀▼P⑤✈❵✉♥✵❭✼➐➛❱❅❵➋❣ ➎❘❯♣❤❝❽▼P❱➩♣❤❱➩❵❈❱➁⑤✵▼P❖❀⑤✈❘✿◗❀❱r▼⑥⑤✈❘✿▼⑧❘✿❬❽❬■➎❱r❬❽❱r❚❯❱r❡✾❣⑥➎❘❯❭✉❱r❬❞❬❽❱r➔■❭✉❝■♥✵❱r❣❳♣❤❱➩♣✛q❱❅❭✉▼P❖✼➳✡❽❣P▼❜❱❄❱r➒✾⑤✈❖✼❡✵❱r❡✾❣P❝❽❱r❬❞❬❽❱r❚❯❱✉❡❤❣ ❬❞❖❀▼❙❵❜❦→❫✵❱♦❬■➐➑❖❀❡ ❵❴➐➛❱r❡☞q❱r❬❞❖❀❝❞◗✼❡⑩❱♠➟❛▲☛❖✼❫✵▼➁❬➏➐➑❱r➒✾❝❪❵❈❣P❱r❡➌❭❴❱➁♣❤❱➢❭❴❱❅❵➙❖❀❡✈♣❤❱❅❵✉♥☛❬s❘✯❭❴❖❀❡✈♣❤❝❞❣❜❝❞❖❀❡ ♣❤❱✬❵❈❫✵▼➋➺➏❘❀❭❴❱ ❬❞❝❽➍✵▼P❱➩❦♠❫✵❝◆❱❢➒❤⑤✵▼❜❝❞❚❯❱⑥❬❽❱❄➺➏❘✿❝❞❣➲❦→❫❂➐á❘✿❫✈❭✉❫✵❡✵❱➩❭❴❖❀❡❤❣❜▼❙❘✿❝❽❡❤❣❜❱➁❡❂➐➑❱➥❵➋❣❿❱r➒✾❱r▼⑧❭✫q❱r❱➁❵❈❫✵▼➤❭❴❱r❬❽❬❞❱r➔➏❭❴❝■♥✼✇❈❖❀❫✵❱➩❫✵❡ ▼✼➳❖❀❬❞❱❿➺➝❖✼❡➌♣✵❘✿❚❯❱❢❡❤❣⑧❘✿❬■➟ ➞④❱➭❣P❱r❬❽❬❞❱❅❵⑥❖✼❡✈♣❤❱➥❵➵❖❀❡❤❣ ❱r❣⑩qq ❱ ❱r❣❜❫✈♣❤❝❢qq ❱r❱❅❵➙⑤✈❖❀❫✵▼❯❬❪❘✹⑤✵▼❜❱r❚❯❝➏➎❱❢▼P❱➁➺➝❖✼❝❪❵❄⑤➌❘✿▼♦➡✫❖✼▼❙♣✏③②❘ ✔❤❬❽❱r❝❞◗❀⑦ ✖❺♠➂✶✘■♥ ♣✵❘❅❡✈❵➵❬❽❱✬❭r❘❀❵❻♣❤❫ ♣❤❱❢❚❯❝❞➔➝❱❅❵➋⑤➌❘✼❭❴❱➩⑦✵❖✼❚♦❖✼◗⑩➎❱❢❡✵❱✬❝❪❵➋❖❀❣P▼❜❖✼⑤✈❱♠♥◆❬❞❱➢❭r❘✼❵➩❘✿❡✵❝s❵➋❖❀❣P▼P❖❀⑤✈❱✹❘ ✔✾❘✿❡✾❣❄❬❽❫✵❝✬q❱r❣⑩q❱ q ❱r❣❜❫✈♣❤❝❢q❱✬⑤✵❬❽❫✈❵➁▼✵q❱❅❭❴❱❢❚❯❚❻❱❢❡♠❣➙⑤➌❘✿▼ ✫ ❫✵❝❽❬❞❬❞❖❀❣ ✖➑❸❀❲✴✘■♥◆❱❢❣✭❩✻⑦✈❘❀♣✛✒t❝❪❭✌✚ ✖➽❾r➀✴✘➏➟✻➞❿❘✿❡➌❵❯❭❴❱❅❵➩♣❤❱r❫✵➒ ❭r❘✼❵✉♥ ❬❞❱➥❵➁❭r❘✿❬s❭❴❫✵❬❪❵⑥⑤✈❱r❫✵➦♠❱r❡✾❣✬➳❱r❣❜▼P❱✬❱❴➼❧❱❅❭❴❣❜❫tq❱❅❵❄❱r➒✾⑤✵❬❽❝❪❭❴❝❽❣P❱r❚➩❱r❡♠❣r➟❛❩✻❱❅❵ ❱r❣P❫➌♣❤❱❅❵❄❖✼❡✾❣q ❱r❣⑩qq ❱✬❭✉❖✼❚❯⑤✵❬❢q❱r❣⑩q❱❢❱❅❵ ⑤✈❘❅▼④❫✵❡⑩❱➁❘✿❡➌❘✿❬✔⑩❵➋❱➤❡❤❫⑩❚✏q❱r▼P❝s❦→❫⑩❱❿♣✵❘❅❡✈❵④❬❽❱❄❭❢❘✼❵②♣❤❫✹♣❤❱❢❚❯❝❞➔➝❱❅❵➋⑤➌❘✼❭❴❱♠♥♠❚❯❱❢❡tq❱r❱❿⑤✈❘❅▼❿❼✼❖❀❬✔ ✖➑❸❂✶ ✘➏➟❅❉④❡ ❘✿❫⑩❣P▼P❱➤❭r❘❀❵✤❖❧➎❫✯❬❞❱➥❵✤❭r❘❅❬❪❭❴❫✵❬s❵➧⑤✈❱r❫✵➦♠❱❢❡❤❣❿➳❱r❣❜▼P❱❿❚❯❱❢❡tq❱❅❵◆❱r➒✾⑤✵❬❞❝s❭❴❝❞❣❜❱r❚❻❱❢❡♠❣r♥✼❱❅❵❈❣t❭❴❱❢❬❞❫✵❝❧♣❤❱⑥❬■➐➛❱r➒✾❣✵q❱r▼❜❝❞❱r❫✵▼ ♣✫➐➛❫✵❡❯❭ ✔❤❬❽❝❞❡✈♣❤▼❜❱t❝❞❡❤✐➌❡✵❝■♥✾❭❴▼❜❱r❫✵➒❧♥♠♣❤❱❳❵➋❱❅❭❴❣❜❝❞❖❀❡❯❭❴❝❽▼❙❭❴❫⑩❬❪❘✿❝❽▼P❱♠♥❅⑤✵❬❽❖✼❡✵◗↕q❱⑥♣✵❘✿❡➌❵➧❫✵❡❯❚♦❝❞❬❞❝❽❱r❫❄⑦⑩❖✼❚❯❖❀◗✵➎❱r❡✵❱ q ❱r❬s❘✼❵➋❣❜❝❪❦♠❫✵❱✁✵➦♠❖❀❝❞▼②❬❞❱❅❵t❣P▼⑧❘➥➦❀❘❅❫✵➒✹♣❤❱ ❉✤❖➠❵➋❣❜▼☞☛❖✼❚ ✖❥❾✉❺ ✘◆❱r❣✗✖❥❾ ❖✴✘➏♥ ❉✤❫✵▼⑧♣❤❱r❡ ✖❥❾✷✶✶✘❛❱r❣✗✖❥❾ ❱ ✘☛❱r❣ ✂✯❝❪♣✾❬❞❝❞❡ ✖➑❹❂✶ ✘➏➟ ①■❬✤❡❂➐➛❱❅❵➋❣➁⑤➌❘✼❵➁⑤➯❖➠❵P❵❈❝❞➍✵❬❽❱✯♣⑩❘✿❡✈❵➁❣P❖❀❫✈❵➵❬❽❱❅❵➁❭r❘❀❵➁♣❤❱✬❚❯❱r❡✵❱r▼⑥❬❽❱❅❵➁❭r❘✿❬s❭❴❫✵❬s❵❄❘✿❡➌❘✿❬ ✔✾❣P❝s❦→❫⑩❱r❚❯❱r❡✾❣r♥✫❱❢❣ ♣✫➐á❘✿❫✵❣❜▼P❱❅❵❄❣❜❱❅❭⑨⑦⑩❡✵❝❪❦♠❫✵❱❅❵➤♣✫➐ç❘❅❡✈❘✿❬ ✔✵❵❈❱✭❚➢❘✿❣P⑦➫q❱r❚✬❘✿❣❜❝❪❦♠❫✵❱♠♥✫❫⑩❣P❝❞❬❽❝❪❵❜❘✿❡✾❣❄❬❪❘✹❣P⑦➫q❱r❖✼▼❜❝❞❱✬❵❈⑤➯❱➥❭❴❣P▼⑧❘✿❬❞❱➠♥◆❖✼❡✾❣ q ❱r❣⑩q❱✯❫✵❣❜❝❞❬❞❝s❵✾q❱r❱➥❵❄⑤➯❖❀❫✵▼❯❚❯❱❢❡✵❱r▼✬➎❘➜➍✵❝❞❱r❡ ❬■➐❜q❱r❣P❫✈♣✾❱✭❣❜⑦tq❱r❖❀▼P❝❪❦♠❫✵❱➭♣❤❱❅❵➁❖✼❡➌♣❤❱❅❵❯♣❤❱➨❵➋❫✵▼❈➺➏❘✼❭❴❱➥❵❴➟t❩②➐➑❱❅❵❈❣ ❭❴❱➭❦♠❫❂➐➑❖❀❡❤❣⑥➺➏❘✿❝❞❣➁⑤➌❘✿▼➩❱r➒❤❱❢❚❯⑤✵❬❞❱➩♣⑩❘✿❡✈❵➁❬❞❱➭❭r❘❀❵➁♣❤❫✏❭ ✔✾❬❞❝❽❡✈♣❤▼❜❱❻❝❽❡❤✐✈❡✵❝➏♥◆❦♠❫✈❘✿❡✈♣ ❬❪❘✹❵❈❱❅❭❴❣P❝❽❖✼❡ ❱❅❵❈❣ ❦♠❫✵❱r❬❪❭✉❖✼❡✈❦♠❫✵❱♠♥ ❉t❘✿❚➩➍✈❱r▼P◗❀❱r▼P➔➏❼✼❖✼❬✔❤➔ ✭❿❱r▼P❡ ✖➑➀✴✘➏♥✼❖✼❫ ✏ ❝❞❬s❵➋❖❀❡❻❱r❣ ✂✯❖✼▼P▼❜❝❪❵❈❖✼❡ ✖❺✼❺ ✘⑩⑤➯❖❀❫✵▼✤❫⑩❡✵❱✬q❱r❣P❫➌♣❤❱ ♣❤❫❑❭❴❖✼❚❯⑤✈❖❀▼P❣P❱❢❚❯❱r❡✾❣✻➎❘t⑦✈❘✿❫✵❣❜❱❅❵Ø➺➝▼⑩q❱❅❦→❫⑩❱r❡✈❭❴❱❅❵❂♣✾❱❅❵Ø❚♦❖✾♣❤❱❅❵❴♥r❱❢❣◆♣✵❘❅❡✈❵☛❬s❘④❭r❘❀❵◆♣❤❱✛❬❪❘✤✐❧❵P❵❈❫✵▼P❱♠♥❀❼✼❖✼❬✔❤➔ ✘✤❬❞❝❽❬❞❝ ✖➛❸❘❱✶✘■➟ ➊ ❖✼❫➌❵➧▼P❱❢❡❤➦♠❖✍✔♠❖✼❡➌❵➧❘❅❫✈❵P❵❈❝✫❬❽❱④❬❽❱❅❭❴❣P❱❢❫✵▼✻❘✿❫⑩➒❻❣❜▼❙❘r➦❀❘✿❫✵➒♦♣❤❱ ✫ ❘❅❫✵❣P❱➥❵➋❱r❡❯❱❢❣✂❈❿❭❙⑦✵❱r❡✾➍✈❘✼❭❙⑦ ✖➑❸✶✘■➟ ▲◆❘❅▼❙❘✿❬❽❬➏➎❱r❬❽❱r❚❯❱r❡✾❣❑➎❘✯❭❴❱❅❵➜q❱r❣P❫➌♣❤❱❅❵➙⑤⑩❫✵▼P❱r❚♦❱r❡❤❣❳❣P⑦➫q❱r❖❀▼P❝s❦→❫✵❱➥❵❴♥◆♣✾❱❅❵➙❚➓q❱❢❣P⑦✵❖✾♣❤❱➥❵➲❡✾❫✵❚➓q❱❢▼P❝❪❦♠❫✵❱❅❵②❖✼❡✾❣ q ❱r❣⑩q❱❿♣✛q❱❢➦♠❱r❬❞❖❀⑤✵⑤tq❱r❱❅❵❛⑤➯❖❀❫✵▼t❬❞❱②❭❢❘✿❬❪❭✉❫✵❬❧♣❤❱❿❭✉❱❅❵◆❖✼❡✈♣❤❱➥❵❴➟➯❩✻❝❽❣P❖❀❡✈❵ ❉✤❖➠❵➋❣P▼✌☛❖✼❚❯➔✣❉✤❫✵▼⑧♣❤❱r❡ ✖❥❾r❲✶✘■♥♠❖✼❫ ✘✤❬❞❝❞❬❽❝ ✖❺⑩❾✔✘❛⑤✈❖✼❫✵▼❿❬❽❱➤❭r❘✼❵❿♣✾❱➁❭r❘r➦✾❝❞❣⑩q❱➥❵t❭ ✔❤❬❽❝❞❡✈♣✾▼P❝❪❦♠❫✵❱❅❵✛♣❤❱➁❵❈❱❅❭❴❣❜❝❞❖✼❡➌❵④❘❅▼P➍✵❝❽❣P▼❙❘❅❝❞▼❜❱❅❵❴♥➛❖✼❫✯❱❢❡✈❭❴❖✼▼❜❱➤➡❂❘✿◗♠❘❀❵P❵❈❱ ✖➑❹✾❾✔✘❧❱r❣ ✖➛❹✼❸✴✘✳♣✵❘✿❡➌❵✤❬❞❱❳❭r❘✼❵✛♣❤❱❿◗✼❫⑩❝❪♣❤❱❅❵✻❣P❖❀⑤➯❖❀◗✼▼⑧❘✿⑤✵⑦✵❝s❦→❫⑩❱❅❵❴➟✫❩②➐➛❱❅❵➋❣➫♣✵❘✿❡✈❵t❭✉❱r❣P❣❜❱❿♣❤❱❢▼P❡✵❝➏➎❱r▼P❱②❬❞❝❽◗✼❡➫q❱r❱ ❦♠❫✵❱➤❵➋❱➤❵➋❝❽❣P❫✵❱⑥❬❞❱❳❣P▼❙❘r➦❀❘✿❝❽❬❛❦→❫⑩❱➙❡⑩❖✼❫✈❵t⑤✵▼⑩q❱➥❵➋❱r❡✾❣P❖❀❡✈❵t♣✵❘✿❡➌❵④❭❴❱⑥▼⑧❘✿⑤✵⑤✈❖✼▼❜❣r➟
➡◆➐➑❫✈❵❜❘✿◗❀❱➁♣❤❱❅❵t❣P❱➥❭⑨⑦✵❡⑩❝❪❦♠❫✵❱❅❵◆❚✬❘✿❣❜⑦tq❱r❚✬❘❅❣P❝s❦→❫✵❱➥❵➸❱❢❣t❡❤❫✵❚➓q❱r▼P❝s❦→❫✵❱➥❵➸❱❢❚❯⑤✵❬❞❖✍✔✛q❱r❱❅❵☛⑤✈❖❀❫✵▼❿❣P▼⑧❘✿❝❽❣P❱r▼ ❭❴❱❅❵◆⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱❅❵✉♥✿❡✳➐➑❱❅❵❈❣◆⑤✈❘✼❵✛❵➋⑤➫q❱➥❭❴❝❥✐❧❦♠❫✵❱②❘❅❫✵➒➁❣P▼⑧❘✿❝❞❣❜❱r❚❯❱r❡✾❣❛♣❤❱❅❵◆❖❀❡✈♣❤❱❅❵✛♣❤❱❿❵❈❫✵▼➋➺➏❘❀❭❴❱❅❵◆❱r❡➩❬■➐❜q❱r❬❪❘❀❵➋➔ ❣P❝s❭❴❝❞❣⑩q❱♠➟❛➞④❱❅❵❄⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱❅❵⑥♣✫➐➛❖✼❡✈♣✾❱❅❵➵◗❀❫✵❝❪♣✛q❱r❱❅❵➙❬❽❱❅❵❄❫✵❣❜❝❞❬❞❝s❵P❘❅❡❤❣❑❵➋❱✬▼P❱r❡➌❭❴❖✼❡✾❣P▼❜❱r❡❤❣❑♣✵❘✿❡➌❵❄❡✵❖✼❚➩➍✵▼P❱ ♣❤❱➭♣❤❖❀❚✬❘✿❝❽❡✵❱❅❵➁♣❤❱✬❬❪❘✹⑤✵⑦✕✔✵❵❈❝❪❦♠❫✵❱♠♥❛❱r❣➁❖✼❡✾❣➵➺➏❘❅❝❞❣➁❬➏➐➑❖✼➍✵✇❈❱❢❣➁♣❤❱➭❣P▼❢➎❱➥❵➁♣❤❝❞➦♠❱r▼⑧❵➋❱❅❵ ❱❢❣P❫✈♣❤❱➥❵❄❚✬❘✿❣❜⑦tqq ❱r➔ ❚✬❘❅❣P❝❪❦♠❫✵❱❅❵✉➟✫➷◆❡ ❘❀❭r❭❴❖❀❫✈❵➋❣❜❝❪❦♠❫✵❱♠♥❂❭❴❝❽❣P❖❀❡✈❵❿⑤✈❘✿▼➤❱r➒❤❱❢❚❯⑤✵❬❞❱➥❵✂❈④❫✵❬❪♣ ✖➑❹✶✘■♥ ✏ ❝❽❬❪❭❴❖❅➒ ✖❺♠❹ ✘➏♥❂▲◆❘❅▼ ✚♠❱r▼❿❱❢❣ ✂✹❘✿❫⑩◗✼❝❞❡ ✖➑❹ ❱ ✘■➟✈➷◆❡✦q❱r❬❞❱➥❭❴❣P▼❜❖✼❚✬❘❅◗✼❡➫q❱r❣❜❝❪❵❈❚❻❱♠♥ ✂✹❘❅▼❙❭❴❫✈❵❈❱✆✖➛❹✿❺ ✘✛♥ ❉t❘✿❚➩➍➯❱❢▼P◗✼❱❢▼P➔✣❉✤❖✼❡✵❡✵❱❢❣ ✖✶ ✘■♥ ❉✤❖✼❡✵➔ ❡✵❱r❣ ✖❥❾❢❹ ✘✤❱r❣ ✖❥❾r❸✶✘■♥↕➞➧✇❈❱r❬❞❬❽❖✼❫✵❝ ✖➑❸❀❹✴✘■♥❛❱r❣❄❣❜▼❢➎❱❅❵❄▼⑩q❱❅❭❴❱r❚♦❚❻❱r❡♠❣➲▲☛❖✼❝❽▼P❝❞❱❢▼ ✖➛❹✼➀ ✘➏♥◆❵➋❱➢❵➋❖✼❡✾❣➁❝❞❡✾❣⑩q❱❢▼P❱❅❵❜❵❤q❱❅❵ ➎❘✬♣❤❝❥➼④q❱r▼❜❱r❡✾❣❙❵④❣ ✔✾⑤➯❱➥❵❿♣❤❱➁◗✼❫⑩❝❪♣❤❱❅❵✉➟❛➡✫❱➩❭r❘✼❵❿⑦➫q❱r❣⑩q❱r▼P❖❀◗⑩➎❱r❡⑩❱➁❱r❡☞q❱❢❬❪❘✼❵❈❣P❝s❭❴❝❞❣⑩q❱❄❘➓q❱r❣⑩q❱➁❬❞❫✵❝❑q❱r❣P❫✈♣✾❝rq❱➁⑤✈❘❅▼ ❉t❘✿❚➩➍✈❱r▼P◗❀❱r▼P➔➏➞④❱r▼❜❚✬❘✿❡❀✇❈❝❪❘✿❡⑩➔■❼✼❖❀❬✔✬♣✵❘❅❡✈❵ ✖❱✴✘■➟❧➡✫❱♦❭r❘✼❵❿♣✾❱➁❬■➐➑⑦✕✔⑩♣❤▼P❖✾♣✛✔✾❡✈❘❅❚❯❝❪❦♠❫✵❱⑥❘✏q❱r❣⑩q❱➁❘✿➍✈❖❀▼❙♣✛q❱ ⑤✈❘❅▼P❉④▼⑧❵➋❱r❬❽❬☛✖ì❺♠❸✴✘❂❱❢❣✔❉✤❖✼❡✵❡✵❱❢❣P➔➏❼✼❖✼❬✔ ✖➑❸❤❾✎✘■➟ ➡❂❘❿♣❤❝➽➼❳q❱r▼P❱r❡➌❭❴❱➧➺➝❖❀❡✈♣✵❘✿❚♦❱r❡❤❣⑧❘✿❬❽❱➧❱❢❡❤❣❜▼P❱✤❬❽❱❅❵❛❭r❘✼❵☛⑤⑩▼✵q❱❅❭❧q❱➥♣❤❱r❚❯❚➩❱❴❡✾❣❂❭✉❝❞❣⑩q❱➥❵❴♥❂✹■❘❀❭r❭❴❖❀❫✈❵➋❣❜❝❪❦♠❫✵❱✤❱r❣➤q❱r❬❽❱❅❭❴➔ ❣P▼❜❖✼❚✬❘❅◗✼❡➫q❱❢❣P❝❪❵❈❚❯❱❄❡⑩❖✼❣❙❘❅❚❯❱r❡✾❣ ✼⑧♥✫❖❧➎❫ ❬■➐➛❱r➒✾❝❪❵➋❣❜❱r❡✈❭❴❱❑♣❤❱❅❵❿❖✼❡➌♣❤❱❅❵➙◗❀❫✵❝❪♣✛q❱r❱❅❵➙❱➥❵➋❣⑥❫✵❡✵❝s❦→❫✵❱❢❚❯❱r❡✾❣❿❵❈❫✵➔ ✇❈❱r❣❜❣P❱❑➎❘➙❬❪❘❿⑤✵▼⑩q❱❅❵➋❱❢❡✈❭❴❱❳♣✫➐➑⑦➫q❱❢❣✵q❱r▼❜❖✼◗⑩➎❱❢❡tq❱r❝❞❣⑩q❱❅❵◆♣❤❱➥❵✤❭❴❖♠❱ ❑➢❭❴❝❽❱r❡❤❣⑧❵☛⑤✵⑦✕✔✵❵❈❝❪❦♠❫✵❱❅❵✉♥✼❱r❣✤❬➏➐❜q❱r❬s❘✼❵❈❣P❝❪❭✉❝❞❣⑩q❱➠♥r❣P❝❞❱❢❡❤❣ ♣✵❘❅❡✈❵◆❬❞❱✤➺➏❘✿❝❽❣✛❦→❫✵❱t❬❽❱t◗✼❫✵❝s♣✵❘✿◗❀❱④❱➥❵➋❣◆▼❜❱r❡✈♣❤❫♦❘✿❫✈❵❜❵➋❝✈⑤✈❖♠❵❜❵➋❝❞➍⑩❬❞❱②⑤✈❘✿▼✻❬■➐➛❱r➒✾❝❪❵➋❣❜❱r❡✈❭❴❱✛♣✫➐➛❫✵❡✵❱②❭❴❖❀❡✈♣❤❝❽❣P❝❞❖❀❡ ♣❤❱➤❵➋❫⑩▼➋➺➏❘✼❭✉❱➙❬❽❝❞➍✵▼❜❱⑥♣✵❘❅❡✈❵④❭✉❱❄❭❢❘✼❵❴➟ ➡✫❱✤⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✻❦♠❫✵❱✻❡✵❖❀❫✈❵◆❘✿➍✈❖❀▼❙♣❤❖❀❡✈❵☛❝❪❭✉❝■♥❴❱➥❵➋❣↕❭❴❱r❬❞❫⑩❝♠♣✫➐➛❫✵❡❄◗❀❫✵❝❪♣❤❱✻❣❜❖✼⑤✈❖✼◗❀▼❙❘✿⑤⑩⑦✵❝❪❦♠❫✵❱♠♥↕q❱❢➦♠❖✾❦→❫➫q❱ ⑤✈❘❅▼✘❈④❫⑩❬❪♣ ✖➑❹✶✘■♥✈❭❴❖❀❡✈❵➋❣❜❝❞❣P❫➫q❱❄⑤✈❘❅▼④❫✵❡➨♣❤❱r❚❯❝❽➔➻❱➥❵➋⑤✈❘❀❭❴❱✹q❱r❬s❘✼❵➋❣❜❝❪❦♠❫✵❱⑥⑦✵❖✼❚♦❖✼◗⑩➎❱❢❡✵❱⑥❝❪❵➋❖❀❣P▼❜❖✼⑤✈❱♠♥✈◗◆q❱r❖❀❚✏q❱r➔ ❣P▼❜❝❪❦♠❫✵❱r❚❯❱❢❡❤❣②❬❞❖✾❭r❘❅❬❞❱r❚♦❱r❡❤❣❳⑤➯❱❢▼P❣P❫⑩▼P➍➫q❱♠♥❛❱r❣❄❝❽❡❤➦❀❘❅▼P❝❪❘❅❡❤❣➤♣✵❘❅❡✈❵➁❫✵❡✵❱✬♣❤❝❽▼P❱❅❭✉❣P❝❞❖❀❡ ♣❧➐➑❱❅❵❈⑤✈❘✼❭❴❱➠♥☛❘r➦♠❱❅❭ ❭❴❖❀❡✈♣❤❝❞❣❜❝❞❖❀❡✹♣❤❱➤❵➋❫⑩▼➋➺➏❘✼❭✉❱❄❬❞❝❽➍✵▼P❱➵➎❘➵❬➏➐➑❝❞❡✾❣P❱❢▼➋➺➏❘✼❭✉❱⑥❘r➦♠❱❅❭④❬❞❱⑥➦✾❝❪♣❤❱➠➟✈➡✫❱❅❵➣❖❀❡✈♣❤❱❅❵t◗✼❫⑩❝❪♣✛q❱r❱➥❵t❵➋❱r▼❜❖✼❡✾❣❿♣❤❱➥❵ ❵➋❖❀❬❞❫✵❣❜❝❞❖❀❡✈❵◆⑤✈❘✿▼❜❣P❝❪❭✉❫✵❬❞❝➏➎❱r▼P❱❅❵❛❵➋❱②⑤✵▼❜❖✼⑤✈❘❅◗✼❱❅❘❅❡❤❣➫♣✵❘✿❡✈❵◆❬s❘➙♣✾❝❞▼P❱➥❭❴❣P❝❽❖✼❡➩♣✫➐➛❝❞❡✾➦✼❘❅▼P❝s❘✿❡✈❭❴❱➠♥✿⑦✈❘❅▼P❚❯❖❀❡✵❝❪❦♠❫✵❱❅❵✉♥ ❭r❘❅▼❙❘✼❭✉❣✵q❱r▼❜❝❪❵✾q❱❢❱❅❵✫⑤✈❘✿▼↕❬❞❱r❫✵▼❂❡⑩❖✼❚➩➍✵▼P❱✻♣❧➐➑❖✼❡➌♣❤❱ ✺❯❱r❣❂❬❽❱r❫✵▼❂➺➝▼✵q❱❅❦♠❫✵❱r❡✈❭✉❱✑❊②♥❅❱r❣◆♣✾❖✼❡✾❣☛❬➏➐Pq❱r❡✵❱❢▼P◗✼❝❽❱◆❣P▼⑧❘✿❡✈❵❈➔ ➦♠❱r▼⑧❵➋❱➩❵➋❱❢▼❙❘❯❱❅❵P❵❈❱r❡✾❣P❝❞❱❢❬❞❬❞❱❢❚❻❱r❡✾❣②❭❴❖❀❡✈❭❴❱r❡✾❣P▼⑩q❱r❱➁♣✵❘❅❡✈❵➙❬s❘ ✟r❖✼❡✵❱➩⑤✈❱r▼P❣❜❫✵▼P➍➫q❱r❱➩♣❤❫ ♣❤❱r❚❯❝❽➔➻❱❅❵❈⑤✈❘✼❭✉❱♠➟✫①■❬ ❵❴➐á❘✿◗❀❝❞❣⑥♣✫➐➛❫✵❡➜⑤✵▼P❖❀➍✵❬➏➎❱r❚♦❱❄❵❈❱r❡✈❵❈❝❞➍✵❬❽❱r❚❯❱r❡✾❣t⑤✵❬❞❫➌❵❿♣❤❝▲❑➢❭❴❝❽❬❞❱➤❦→❫⑩❱➩❭❴❱r❫✵➒ ❱r➦♠❖✾❦→❫➫qq ❱❅❵④⑤✵❬❽❫✈❵④⑦✈❘❅❫✵❣r➟❛➷◆❡ ⑤✈❘❅▼P❣P❝s❭❴❫✵❬❽❝❞❱r▼❢♥→❝❽❬❂❡❂➐➑❱❢➒❤❝s❵➋❣P❱➵➎❘➵❡✵❖❀❣P▼❜❱❄❭✉❖✼❡✵❡✈❘❅❝❪❵❜❵P❘✿❡➌❭❴❱➁❘❅❫✈❭❴❫✵❡➭▼✵q❱❅❵❈❫✵❬❞❣⑧❘✿❣t⑤✵❫✵➍⑩❬❞❝❢q❱➲❵➋❫✵▼②❬■➐➛❱r➒❤❝s❵➋❣❜❱r❡✈❭❴❱♠♥ ✹■❘❅❫✹❵❈❱r❡✈❵✤❚✬❘❅❣P⑦➫q❱r❚➢❘✿❣P❝s❦→❫⑩❱②♣❤❫✯❣❜❱r▼P❚❯❱ ✼❙♥♠♣✫➐➛❖✼❡✈♣✾❱❅❵④♣✾❱❄❵❈❫✵▼➋➺➏❘❀❭❴❱➤♣✵❘✿❡➌❵④❭❴❱⑥❣ ✔✾⑤➯❱➤♣❤❱➤❵❈❝❞❣P❫➌❘✿❣P❝❽❖✼❡❂➟ ❩✻❱➩❦♠❫✵❝☛❱❢➒❤⑤✵❬❽❝❪❦♠❫✵❱➁❦♠❫✵❱➤❬❞❱❅❵➭q❱❢❣P❫✈♣❤❱➥❵④❚❯❱r❡➫q❱❢❱❅❵t❵➋❫✵▼➲❭❴❱➁⑤✵▼P❖❀➍✵❬➏➎❱❢❚❯❱➤❵➋❖✼❝❽❱r❡✾❣❿♣❤❱➁❡➌❘✿❣P❫⑩▼P❱❅❵❿❱❅❵❜❵➋❱r❡✵➔ ❣P❝❽❱r❬❞❬❽❱r❚❯❱✉❡❤❣②❡✾❫✵❚✏q❱r▼❜❝❪❦♠❫✵❱♠➟✫❩✻❝❞❣❜❖✼❡✈❵⑥❬❞❱❅❵❿❣❜▼❙❘r➦❀❘✿❫✵➒ ♣❤❱✬➡❂❘❅◗♠❘✼❵❜❵➋❱ ✖➑❹✾❾ ✘✻❱r❣ ✖➑❹✼❸ ✘➏♥✫❱r❣ ✂✹❘✿▼❙❘❀♣❤❫✈♣❤❝❽❡ ✖➑❹❀❹✴✘➏➟ ➊ ❖❀❫✈❵❯⑤✵▼⑩q❱❅❵❈❱r❡✾❣P❖✼❡➌❵✭❝❪❭✉❝❿❫✵❡✵❱➜❚✏q❱r❣❜⑦✵❖✾♣❤❱➜♣❤❱ ❭r❘✿❬s❭❴❫✵❬❿❡✾❫✵❚➓q❱❢▼P❝❪❦♠❫✵❱➭♣❤❱❅❵❈❣P❝❽❡tq❱r❱ ➎❘ ❭❢❘✿❬❪❭✉❫✵❬❞❱r▼♦❬❞❱❅❵ ❭❴❖❀❫✵▼P➍✈❱❅❵②♣❤❱➤♣❤❝❪❵❈⑤✈❱r▼❙❵❈❝❞❖✼❡➨♣❤❱❅❵t❚❯❖✾♣❤❱❅❵✉♥✵❦♠❫✈❘✿❡➌♣✭❝❞❬s❵✤❱r➒✾❝❪❵➋❣❜❱r❡✾❣r➟✾➡◆➐❜q❱r❣❜❫✈♣❤❱⑥❣P⑦➫q❱r❖✼▼❜❝❪❦♠❫✵❱➤♣❤❱⑥❬■➐➑❱❢➒❤❝s❵➋➔ ❣P❱❢❡✈❭❴❱♦♣❤❱❅❵❄❚❯❖✾♣❤❱➥❵➙❡✵❱✬❵❈❱r▼❙❘✬⑤✈❘✼❵➁❘❅➍✈❖✼▼❙♣✛q❱r❱✬❝❪❭❴❝➏♥Ø❱❢❣❄❱❅❵❈❣❄▼P❱❢❡❤➦♠❖✍✔✛q❱r❱➭➎❘✯❫✵❡✵❱❯⑤⑩❫✵➍✵❬❞❝s❭r❘✿❣❜❝❞❖❀❡ ❫✵❬❞➔ ❣⑩q❱❢▼P❝❞❱❢❫✵▼P❱♠➟⑩➡❂❘❻❚➓q❱r❣❜⑦✵❖✾♣❤❱⑥❭✉❖✼❫✵⑤✵❬❽❱➜q❱r❬❢q❱r❚♦❱r❡❤❣⑧❵☛✐✈❡✵❝❪❵t❱r❣➭q❱❅❦♠❫✈❘✿❣❜❝❞❖✼❡➌❵➣❝❽❡❤❣⑩q❱r◗✼▼⑧❘✿❬❞❱➥❵❴➟ ✮➠❖✼❡✹❘r➦❀❘✿❡✾❣❙❘❅◗✼❱ ⑤✵▼❜❝❞❡✈❭❴❝❽⑤✈❘✿❬➏♥❤❱r❣✛⑤✈❘✿▼②❬❈➎❘❅➔➻❚➜➳❱r❚❯❱②❵➋❖❀❡✬❖✼▼P❝❽◗✼❝❽❡✈❘✿❬❽❝❞❣⑩q❱➠♥❤❱❅❵❈❣②♣❤❱⑥❬❞❝❞❚♦❝❞❣P❱❢▼◆❬❞❱⑥♣✾❖✼❚✬❘❅❝❞❡✵❱⑥♣✾❱❄❭❢❘✿❬❪❭✉❫✵❬✻➎❘❄❬s❘ ❵➋❱❢❫✵❬❞❱t⑤✈❱r▼❜❣P❫✵▼❜➍✈❘✿❣❜❝❞❖✼❡♦♣❤❫♦♣❤❱r❚❯❝❽➔➻❱➥❵➋⑤✈❘❀❭❴❱♠♥❅❬❞❱t⑤✵▼❜❝❞➒✬➎❘❿⑤✈❘ ✔♠❱r▼❑q❱r❣❙❘❅❡❤❣✛❦♠❫✵❱t❬❞❱t⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✛❱❅❵➋❣✻❘❅❬❞❖❀▼❙❵ ❡✵❖❀❡✵➔➻❬❽❝❞❡➫q❱➥❘✿❝❞▼❜❱❿⑤✈❘❅▼④▼⑧❘✿⑤✵⑤✈❖✼▼❜❣❿❘❅❫✵➒✬♣❤❱❢❫✵➒❯⑤✈❘❅▼❙❘✿❚➨➎❱r❣P▼❜❱❅❵✤♣❤❫✬⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱♠♥♠❬❽❱❿❡✵❖✼❚➩➍✵▼❜❱❿♣✫➐➛❖✼❡✈♣✾❱➙❱❢❣ ❬❪❘➙➺➝▼⑩q❱❅❦♠❫✵❱r❡✈❭❴❱➠➟ ➡◆➐ç❘❅▼P❣P❝s❭❴❬❞❱❳❱❅❵➋❣t❖❀▼P◗♠❘❅❡✵❝❪❵✾q❱➁♣❤❱⑥❬s❘❑➺➏❘✚❋❭❴❖✼❡➭❵➋❫⑩❝❞➦❀❘✿❡✾❣P❱✁ ❩✻⑦✈❘❅⑤✵❝❞❣❜▼P❱➩❾ ➡✫❱t⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱✻⑤✵⑦✕✔✵❵❈❝❪❦♠❫✵❱✙✔❄❱❅❵❈❣✻♣✤q❱❅❭❴▼❜❝❞❣❢♥r⑤✵❫✵❝❪❵❂➺➝❖✼▼P❚➩❫✵❬❢q❱◆❚✬❘✿❣❜⑦tq❱r❚✬❘❅❣P❝s❦→❫✵❱❢❚❻❱✉❡❤❣ ❙❝❞❬⑩❵➋❱t⑤✵▼⑩q❱❅❵➋❱r❡✾❣P❱ ❘✿❬❽❖✼▼⑧❵❿❵➋❖❀❫✈❵❿❬❪❘❄➺➝❖✼▼P❚♦❱➁♣✫➐➛❫✵❡✯⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱➤♣❤❱➤➦✼❘❅❬❞❱r❫⑩▼❙❵④⑤✵▼❜❖✼⑤✵▼❜❱❅❵④⑤✈❖♠❵✾q❱❯♣⑩❘✿❡✈❵④❣❜❖✼❫✵❣❜❱➁❬❪❘➩❵➋❱❅❭✉❣P❝❞❖❀❡
♣❤❫➩◗✼❫✵❝s♣❤❱♠♥✼❖❧➎❫❯❬❽❱②❭r❘✿▼❜▼⑩q❱②♣❤❱②❬❪❘t➺➝▼✵q❱❅❦♠❫✵❱r❡✈❭✉❱☛✇❈❖✼❫⑩❱④❬❽❱t▼✼➳❖✼❬❽❱②♣❤❱t➦❀❘✿❬❽❱r❫✵▼✻⑤✵▼P❖❀⑤✵▼P❱➠♥✼❱r❣◆❖❧➎❫✬❬❞❱✛❡✵❖✼❚➩➍✵▼P❱ ♣✫➐➛❖✼❡✈♣❤❱➤❘❅⑤✵⑤✈❘✿▼⑧❘✿➳✡❽❣❿❭❴❖❀❚❯❚❯❱②❫✵❡✬⑤✈❘✿▼⑧❘✿❚➨➎❱❢❣P▼P❱➠➟ ❩✻⑦✈❘❅⑤✵❝❞❣❜▼P❱➤❸ ➡✫❱➁⑤✵▼❜❖✼➍✵❬➏➎❱r❚❯❱❄⑤⑩▼✵q❱❅❭❧q❱➥♣❤❱r❡✾❣④❱❅❵❈❣❿▼❙❘❅❚❯❱r❡➫q❱➢➎❘❻❫✵❡➜⑤✵▼P❖❀➍✵❬➏➎❱❢❚❯❱➜q❱❅❦→❫⑩❝❞➦❀❘✿❬❽❱r❡❤❣②➍✈❖✼▼❜❡tq❱♠♥❛❭✼➐➑❱➥❵➋❣❑➎❘✭♣✾❝❞▼P❱ ⑤✈❖♠❵✾q❱➩♣✵❘✿❡✈❵t❬❪❘➩❵➋❱❢❫✵❬❞❱➤⑤➯❱❢▼P❣P❫⑩▼P➍✈❘❅❣P❝❞❖❀❡✹♣❤❫➭◗✼❫✵❝s♣❤❱♠♥✵◗❀▼✼➳❘✼❭✉❱➭➎❘➵❬➏➐➑❝❞❡✾❣P▼❜❖✾♣❤❫✈❭❴❣❜❝❞❖❀❡✯♣❧➐➑❫✵❡✵❱➤❭❴❖❀❡✈♣❤❝❽❣P❝❞❖❀❡ ❘✿❫⑩➒❯❬❞❝❽❚❯❝❞❣❜❱❅❵◆❣P▼❙❘❅❡✈❵➋⑤➌❘✿▼P❱❢❡❤❣❜❱❯➎❘➁❬■➐➛❝❞❡✾❣P❱r▼❈➺➏❘✼❭❴❱②⑤✈❱r▼P❣❜❫✵▼P➍➌❘✿❣P❝❽❖✼❡✵➔➏♣❤❱r❚♦❝❞➔➝❱❅❵➋⑤✈❘❀❭❴❱♠➟ ❩✻⑦✈❘❅⑤✵❝❞❣❜▼P❱➤❹ ➡◆➐➑❖❀⑤tq❱r▼⑧❘✿❣P❱❢❫✵▼⑥♣❤❱➁➍✈❖✼▼⑧♣ ❝❽❡❤❣❜❱r▼P➦♠❱❢❡✈❘✿❡✾❣❿♣⑩❘✿❡✈❵❿❬❪❘♦❭❴❖✼❡✈♣✾❝❞❣P❝❽❖✼❡➜❘❅❫✵➒✯❬❽❝❞❚❯❝❽❣P❱❅❵✻❣P▼❙❘❅❡✈❵➋⑤➌❘✿▼P❱❢❡❤❣❜❱♠♥✫❱❅❵❈❣ ❭r❘❅❬❪❭❴❫✵❬❢q❱♠➟ ❩✻⑦✈❘❅⑤✵❝❞❣❜▼P❱❅❵✤❺➩❱r❣◆❖ ➡❂❘❯♣❤❝s❵P❭❴▼⑩q❱r❣P❝s❵P❘❅❣P❝❞❖❀❡✯❱r❣②❬❞❱➥❵➣▼⑩q❱❅❵➋❫✵❬❽❣❙❘❅❣❙❵❿♣❤❫➜❭❢❘✿❬❪❭✉❫✵❬❂❝❞❡✾❣⑩q❱r◗❀▼❙❘❅❬◆❘❀❵P❵➋❖✾❭✉❝rq❱➭➎❘❻❬➏➐➑❖✼⑤➫q❱r▼❙❘❅❣P❱r❫✵▼❳♣❤❱➤➍➯❖❀▼❙♣ ❵➋❖❀❡❤❣②⑤✵▼⑩q❱❅❵➋❱r❡✾❣⑩q❱➥❵❴➟ ❩✻⑦✈❘❅⑤✵❝❞❣❜▼P❱➤❲ ➡❂❘✬♣❤❝❪❵❜❭❴▼⑩q❱❢❣P❝❪❵❜❘✿❣❜❝❞❖✼❡➭⑤✈❘✿▼➨q❱r❬❢q❱r❚♦❱r❡❤❣⑧❵➸✐✈❡⑩❝❪❵②♣❤❱➁❬❪❘➁⑤✈❘✿▼❜❣P❝❽❱ ❱r❬❪❘❀❵➋❣P❝s❭❴❝❞❣⑩qq ❱♦➎❘❻❬■➐➛❝❞❡✾❣✵q❱r▼❜❝❞❱r❫✵▼➫♣❤❱❄❬s❘❻⑤✈❱r▼P➔ ❣P❫⑩▼P➍✈❘❅❣P❝❞❖❀❡✯❱❅❵❈❣t⑤✵▼⑩q❱➥❵➋❱r❡✾❣⑩q❱r❱➠➟ ❩✻⑦✈❘❅⑤✵❝❞❣❜▼P❱❅❵ ✶➤❱r❣◆❱ ➡◆➐❧❘✿❬❞◗❀❖✼▼❜❝❞❣P⑦⑩❚❯❱➤❭❴❖✼❚❯⑤⑩❬❞❱r❣②♣❤❱➤❬❪❘➁▼⑩q❱❅❵❈❖✼❬❽❫✵❣P❝❽❖✼❡✹♣✾❫✹⑤✵▼P❖❀➍✵❬➏➎❱r❚♦❱♠♥❤❬❽❱➙⑤⑩▼P❝❞❡➌❭❴❝❞⑤✈❱➁♣✾❱❄❬❪❘➁➦❀❘✿❬❽❝❪♣✵❘❅❣P❝❞❖❀❡ ♣❤❱➭❬❪❘✹❚✏q❱r❣P⑦⑩❖✾♣❤❱♠♥◆❱r❣➩❬❞❱✬❣P▼⑧❘✿❝❽❣P❱r❚❯❱❢❡❤❣❑♣❤❱✹♣❤❝➽➼❳q❱r▼P❱r❡✾❣P❱➥❵➁♣❤❝▲❑➢❭❴❫✵❬❽❣✵q❱❅❵➁♣✫➐➛❖✼▼⑧♣❤▼P❱✬❝❞❡✾➺➝❖✼▼P❚➢❘✿❣P❝s❦→❫⑩❱♠♥ ❬❞❝❢q❱r❱❅❵✛❘✿❫✯⑤⑩▼P❖✼➍⑩❬■➎❱r❚❯❱➠♥❤❵❈❖✼❡✾❣t❣P▼⑧❘✿❝❞❣⑩q❱❅❵❴➟ ❩✻⑦✈❘❅⑤✵❝❞❣❜▼P❱➤➀ ➡❂❘✏➦✼❘❅❬❞❝s♣✵❘✿❣❜❝❞❖✼❡ ♣❤❱ ❬❪❘ ❚➓q❱r❣P⑦✵❖✾♣✾❱♠♥t❱r❣✹❬■➐❜q❱r❣P❫✈♣✾❱↔❡✾❫✵❚➓q❱r▼❜❝❪❦♠❫✵❱➜❭❴❖❀❚❯⑤✵❬➏➎❱❢❣P❱➜♣❤❱ ♣❤❱r❫⑩➒✔◗❀❫✵❝❪♣❤❱➥❵ ♣✫➐➛❖✼❡✈♣❤❱➥❵t❵➋❖✼❡✾❣②⑤✵▼⑩q❱❅❵❈❱r❡✾❣✵q❱r❱❅❵✉➟ ❈④❡✵❡⑩❱r➒❤❱ ➷◆❬❞❬❽❱❄❭✉❖✼❡✾❣P❝❞❱❢❡❤❣t❬❽❱❄♣✛q❱r❣❙❘❅❝❞❬❛♣❤❱❅❵②❭r❘❅❬❪❭❴❫✵❬s❵t♣❤❖✼❡✾❣②❬❞❱❅❵t▼⑩q❱❅❵❈❫✵❬❞❣⑧❘✿❣⑧❵④❵❈❱r❫✵❬❪❵②❵➋❖❀❡❤❣❳♣❤❖❀❡✵❡tq❱❅❵❿❘❅❫✹❵❈❱r❝❞❡➨♣❤❫ ❭❙⑦✈❘✿⑤✵❝❽❣P▼❜❱✛❖❤➟
✁ ☞✄✂ ✘ ✖ ✜✙✏ ☎ ✆ ✏ ✂ ✜ ✄ ✌ ✎✛✚✏✔✕ ✏ ✖ ✁ ✝ ✏ ✄❙✜ ✘✟✞ ✆ ✏ ✠☛✡☞✠ ✍✍✌ ❅❑❀✏❄❑❀✎✌ ❃ ✏✒✑ ✓ ✽✔✌☛✕✗✖✙✘✺❂✼ ✺ ✚✔✛✜✚✔✛✜✚ ✢ ✣ ✤✦✥★✧ ✣ ✤✪✩✬✫✮✭✜✤✰✯✲✱✴✳✵✫✬✥✔✶✲✷✹✸✤✺✧✻✤✼✳✲✽✔✾❀✿❁✭✜❂❃✱❃✤ ❄✟❅❇❆❉❈❂❾❀➟❞❾⑥➔ ✞✔✍✆✛✧✡✪ ✆✍✜✦✗✛☛✆ ✄✡✠ ✞✡✠☞☛✌✄✝✆ ➒ ✜ ❩②➟✮✈➟ç➡◆➟ ➒❋❊ ● ➦✾❝❪♣✾❱ ❍ ➔❏■ ■ ➒ ✵ ❑ ➴ ▲ ●◆▼ ●P❖ ❑ ✝✼◗t➒ ✜❙❘ ➺☎✹➻➒ ✵ ✼❯❚ ✹P❾❀➟❞❾✪✼ ❖❧➎❫ ❱❲ ❳❲❨ ➺☎✹➝➒ ✵✟✼❯❩✏➂ ●❃❬➒ ✵❭❬❫❪❴■ ➺☎✹➝➒ ✵✟✼ ✝ ➂ ●❃❬➒✢✵❭❬❫❩❵■ ✹P❾❀➟ç❸❂✼