vol8_pp01-13. 204KB Jun 04 2011 12:06:16 AM
The Electronic Journal of Linear Algebra.
A publication of the International Linear Algebra Society.
Volume 8, pp. 1-13, January 2001.
ISSN 1081-3810. http://math.technion.ac.il/iic/ela
ELA
✂✁☎✄✝✆✟✞✡✠☛✄✌☞✎✍✟✆✟✏✒✑✓✑✕✔✗✖☎✖☎✄✘✑✂✂✏✚✙✛✏✜✣✢✤✔✦✥✧✘★✩✔✪✂✍✟✄✌✄✬✫✭✑✕✔✗✖☎✖☎✄✘✑✮✣✄✰✯
☞✂✢✱✆✛✖✲✄✌✯✳✠☛✄✴✔✗✥✵✏✜✖☎✥✶✏✜✖☎✏✜✂✄✷★✸✄✌✏✹✠☛✁☎✮✺
✻✚✼✾✽❀✿❂❁❃✻❅❄❇❆✣✿❉❈❋❊❍●❇❊❍■❑❏▲❁❉✿✾▼✎◆P❖P◗❘❆✬❊❚❙❱❯▲✼▲■❑❈❲❁❇■P❳❉❆✬✼❉❁❉❁❉▼
❨❬❩❪❭❴❫❛❵❛❜❞❝❡❫❣❢ ❈✐❤❦❥♠❧♦♥q♣❡r❀s✰❧❋tq✉✈❤❂❥❍✇P①✡✇❱❤❴②④③✚⑤❣❥⑥❤❴s✌❥⑥⑦⑧❤❴❤❴⑨❇✇❇② ❥⑥⑤✬♣❡⑩④③✚❤❴✉❀⑦❶♣❡②④❷✾❷❴①✚r❀r✒❤❸❷❦❥⑥② ❹✒② ❥⑥②④❤❴⑨❂❺♦❻❼❧♦♥❾❽❱♣❡r❀s✌❺♦❻❿❧✐t✜❽❶➀
⑦⑧❤❴⑨⑥➁✈❤❴❷❦❥⑥② ❹✜❤❸⑩ ➂✜❄➃✼✳❹✜❤❴⑦⑥❥⑥❤❴➄❬①✚r➅①✚r❀❤❂①❡➆❪❥⑥⑤❀❤❉❥⑥⑦⑧❤❴❤❴⑨♠②④⑨P❷❴①✚r❀r❀❤❴❷❦❥⑧❤❴s✌❥⑥①➇♣q❹✜❤❴⑦⑥❥⑥❤❴➄➅①✚r✶❥⑥⑤❀❤✾①❡❥⑧⑤✒❤❸⑦♠✉✜➂❬♣❡r➅❤❸s✒③✚❤✾①❡➆✐✇❱❤❴②④③✚⑤❣❥
❥⑥⑦⑧❤❴❤➉➌➊❧ ➋❉❄✟➍❑➂✗②④r✜❥⑧❤❴⑦⑥⑩➎♣❡❷❸②④r✒③✮➁❀⑦⑥①✚➁❞❤❸⑦❚❥⑧②④❤❴⑨➇①❡➆❂❤❸②④③✚❤❴r✜❹✚♣❡⑩④➏❀❤❴⑨❬①❡➆❂⑨❚➂✒➐✶➐✶❤❦❥⑥⑦⑧②④❷✶➐❬♣❛❥⑥⑦⑧②④❷❴❤❴⑨➇② ❥➇②④⑨
➈➑ r❀①❾❥⑥✇❇①✮r✦①✚✉✹❥⑧❥❶⑤❅♣❡♣❛②④❥❬r✛❺♦♣✘❻➌❋r❀➊❧ ➋❇❤❦✇➉
❽✰➒➉➐✶②④r❞➓❾❺♦❻❼❧♦♥❛❽❦➔⑥❺♦❻❼❧❋t✚❽⑥→✎➣↕↔P➙➛❄✟❊➜❥✶②④⑨✡s❀❤❦❥⑧❤❴⑦⑧➐✶②④r✒❤❸s✦➁❀⑦⑥❤❴❷❸②④⑨⑥❤❴⑩ ➂✕✇❇⑤❀❤❴r✟❺♦❻❋❋➊❧ ➋❇❽❬➝➞➙✝♣❡⑨
➈♣❡r❀s✌➝✝➢❂➟✳②④⑦⑧❷❶❄❂⑤❀➠➡①❡➤♠②④r❀➥ ♣❡⑨♠⑩④⑩➎⑩ ➂❣♣❸✇❇➀➌♣❬⑨❸❄ ➁❞①✚⑨⑧⑨⑧②④✉✒⑩④❤↕②④r✜❥⑧❤❴⑦⑥➁❀⑦⑧❤❦❥⑧♣❛❥⑧②④①✚r✂②④⑨❂③✚② ❹✜❤❴r✣①❡➆❑❥⑥⑤❀②④⑨✾⑦⑧❤❴⑨⑧➏✒⑩ ❥❉❥⑥①➅❥⑥⑤❀❤↕❥⑥⑤❀❤❴①✚⑦⑥➂✣①❡➆❑❤❴⑩④❤❸❷❦❥⑥⑦⑧②④❷❸♣❡⑩➡❷❸②④⑦⑥❷❴➏❀② ❥⑧⑨
➦✌➧❣➨✗➩↕➫ ❵❡➭❪❭✚❢❉➯ ❤❴②④③✚⑤✜❥⑧❤❴s✌❥⑥⑦⑧❤❴❤✚➀❅❈❪♣❡➁❀⑩➎♣❡❷❴②➎♣❡r✬➐❬♣❛❥⑥⑦⑧② ➄✈➀✹✼❉⑩④③✚❤❴✉❀⑦❶♣❡②④❷❉❷❸①✚r✒r❀❤❴❷❴❥⑥② ❹✹② ❥❍➂❣➀✈■➃⑩④❤❸❷❦❥⑥⑦⑧②④❷❸♣❡⑩❋❷❴②④⑦⑥❷❸➏✒② ❥❾❄
❨❬➲➛➳✟❭❛➵✐❩❋➸ ➧ ❝❡❫❬❝❣➺❿❜❞❭❸❭❛➻④➼➡❝✚❜❀❫✚➻ ➫❋➽ ❭✚❢❉➾ ❙ ➾✚➚ ➀❋➪ ➾ ✼❉➶✜➹
➘❑➴ ✏❣➷P➬❣➮❅➱♠✃❉❐▲❒✈➬✹❮❚➱❑➷ ➴✂❰✩ÏÑÐ✜Ò❿Ó❀Ô✐Õ❦Ð❡Ö✦Ó❞×❛Ø❛Ù♦ÔÛÚ❅Ü☎ÝßÞ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á➅â➜ã✬ä❞åçæ♦å➡è❪âêé❾ë✒ì✚í❛ë✹èçî✈é❡ä❞ï♦ðçñóò✈å
Ý✭ô✈ë✹é❸í❛âêì❣ë✹ã✂ã❾æ➡ì❡ðõí❛ð➡ä❅í✎ö✶â❿í❛ð÷ë✹ä➌ì❡ð❲ë✹è❪î➌ë✟ø✟ò✈ù✰ñ↕ú❂í❾ð♦ë✹é❾ë✦â➜ã✂ä✈åÛä✈ã❛ã❾ò✐ì❣âêä❞í❾ë✒èçï❑ò➌ã❾â❼í❾âêô✈ë✦å✐æ♦û✮ü➃ë✹é
ý✂þ ø❀ÿ✰ö✶ð♦â➜ì❡ð â➜ã✬ì❣ä ë✹è í❾ð♦ë✳ÏÑÐ❣Ò❿Ó✒Ô❪Õ✾ò❞ùqí❛ð♦ë✕ë✹è❪î➌ë✎ø ➇ð♦ë ❇Ø❡Ù ❼Ø➌à✜Ò❚Ø❞Ü ✗Ø❅Õ⑧×✚Ò
þ ÿ✕Ú ✕Ø
ÏÑÐ❣Ò❿Ó✒Ô❪Õ❶Ð❡Ö✎Ó❞×❾Ø❡Ù♦ÔçÚ❅Ü✛Ý➉Þ❅Ð❣×✚Õ⑥Ò❚à❡Ð✜á✡â➜ã✡í❾ð♦ë✘Ý ☛Ýçû✗ä❅í❛é❾â ✟ò➌ü❪í❛ä✈â❼å♦ë✒è✛ä➌ã✡ù ò ò❅ö❬ã
â❿ù ✦ä✈å➡è✛ø✣âêã➇í❛ð♦ë✘ë✹è♦î✈ë ❴ò✈âêå♦âêå♦î ↕ä❞å➃è ➃ú
ý✮þ ø❅ÿ
â❿ù ✦ä✈å➡è Ñâêã✶å➡ò❞í❬ä✈è ❸ä➌ì✜ë✹å➌í➇í❛ò ➡ú
â❿ù
í☎âêã ✐å♦ò❅ö✶å❘í❾ð➡ä❞í âêã✳ä➉ã❸âêå♦î➌æ ä✈é ❋û✗ä❅í❛é❾â ❘ä❞å➡è❘ð♦ë❣å➃ì✜ë➛ï➃ò❋ã❸â❼í❾âêô✈ëõã❸ë✹û✕âêè❪ë ➡å♦â❼í❾ë ♠ë❣í
✳ü❑ë✂ä❞å ä✈é❾é❡ä❞å➡î✈ë❣û✕ë✹å➌í✶ò✈ù❉í❛ð♦ë✂ë✹â❼î➌ë❣å✐ô❅ä æ♦ë✹ã❬ò❞ù ✭â❼å å♦ò✈å➡è♦ë✹ì✜é❛ë✹ä➌ã❸âêå♦î
ò✈é❡è❪ë✹é ❉âêë✹è ë❣é ✡ã❾ð♦ò❅ö↕ë✒è í❛ð➡ä❅í
â❿ù❬ä❞å➃èõò✈å â❼ù➅ñ â➜ã✣ì✜ò➌å♦å♦ë✒ì✚í❾ë✒èõä❞å➡è➛ð♦ë✗í❛ë❣é❛û✕ë✹è
✌í❛ð♦ë✟Ø Ó❋Ð ✜×❾Ø❞Ò❚à✗à❡Ú❅Ü➡ÜPÐ❡à✜Õ⑧Ò❍Þ✹Ò❍Õ ✟Ú ✰ñ
qþ ñ❂ÿ
å ä î✈é❡ä❞ï♦ð➉ñÑú↕ä à ✈à ❼Ð✎â➜ã✎ä ã❾ë ❋æ♦ë❣å➃ì✜ë✟ò✈ù✰ä✈è ❸ä✈ì✜ë✹å❋í✮ô✈ë✹é❸í❛âêì❣ë✹ã
úqã❸æ➡ì❡ðÛí❾ð➡ä❞í
ö✶â❼í❾ð
ù ò➌é✌ä
ä❞å➡è☛ù ò➌é✌ä
➅❰ Õ⑥×❛Ð❛Ð❬âêã✌ä✦ì❣ò✈å♦å♦ë✒ì✚í❛ë✹è
î✈é❡ä❞ï➡ð➛ö✶â❼í❾ðÛå♦ò ì ì ë✒ã ➇ð✐æ➡ã✹ú❂î✈âêô✈ë❣å❲ä✈å í❴ö✡ò☎ô✈ë❣é❾í❾â➜ì✜ë✒ã ä✈å➡è â❼å÷ä✳í❛é❾ë✹ë✈ú❉í❾ð➡ë❣é❛ë✦âêã✮ä
æ♦å♦â ❋æ♦ë✘ï➡ä❞í❾ð☛ù é❾ò➌û
í❾ò
å☛í❾ð♦â➜ã✶ï➡ä✈ï➃ë✹é✶ö↕ë✘ã❾ð➡ä ì✜ò➌å➡ã❾âêè❪ë✹é➇í❾ð♦ë✬ù ò ò❅ö✶âêå♦î ❋æ♦ë✒ã❴í❛â❼ò➌å
❇ë✜í ä✈å➡è ü➃ë✌í❴ö✡ò✣í❛é❾ë✹ë✹ã ➌ò✈âêå✦í❛ð♦ë✌í❾é❛ë❣ë✒ã✡ä❞í✡ô➌ë❣é❾í❾â➜ì✜ë✒ã
ä✈å➡è
ü ä❞å☛ë✹è❪î➌ë✘ø✣ò❞ù❉ö↕ë✹â❼î➌ð❋í ý í❛ò✗ò✈ü❪í❡ä❞âêå☛ä✎å♦ë✹ö❘í❛é❾ë✹ë
➇ð♦ë✹å✛ö✶ð➡ä❞í❬âêã
â❼û
þ ÿ
▲ò☎ì✜ò✈å➃ã❸â➜è❪ë❣é✌í❛ð♦âêã ➌æ➡ë✹ã❸í❾âêò✈å➛ö↕ë✕å♦ë✹ë✹è í❾ò✳æ➡ã❾ë✕ã❾ë❣ô➌ë❣é❡ä é❛ë✹ã❾æ í❡ã✰ù é❾ò➌û í❾ð♦ë â❼í❾ë❣é❡ä❅í❛æ♦é❛ë✈ú❇ã❾ò✈û✕ë
ò❞ù➇ö✶ð♦â➜ì❡ðõö↕ë✗ö✶â ❋æ♦ò❞í❛ë✎ð➡ë❣é❛ë✕ù ò✈é✂ì❣ò✈å✐ô✈ë✹å♦â❼ë✹å➡ì✜ë ➇ð♦ë ➡é❡ã❸í✬é❛ë✹ã❾æ í✘ù é❾ò➌û ↕è♦âêã❛ì✜æ➡ã❛ã❾ë✹ã✬í❛ð♦ë
❏♠❤❸❷❴❤❴② ❹✜❤❴s☛✉✜➂✕❥⑥⑤❀❤✬❤❴s❀② ❥⑥①✚⑦⑧⑨✶①✚r ➚ ✼❉➏✒③✚➏❀⑨⑥❥ ➚✚➚✚➚ ❄☛✼❉❷❴❷❴❤❴➁✒❥⑧❤❴s✟➆ê①✚⑦✶➁❀➏✒✉❀⑩④②④❷❸♣❛❥⑧②④①✚r✟①✚r ✎✻✜♣❡r✹➏❀♣❡⑦⑥➂ ➚✚➚ ➪✚❄
❯❉♣❡r✒s❀⑩④②④r❀③➇■➃s❀② ❥⑧①✚⑦❸↔➃➍P⑦⑥➂❣♣❡r✌❈➃❄❞✽✹⑤❅♣❡s✒❤❸⑦❸❄
➚✚➚
▼ ❤❴➁❅♣❡⑦❚❥⑧➐✶❤❴r✜❥▲①❡➆➡❆✘♣❛❥⑥⑤❀❤❴➐❬♣❛❥⑥②④❷❸⑨❸➀❞❳▲r✒② ❹✜❤❸⑦⑥⑨⑧② ❥❍➂❬①❡➆❑❙P①✚r❀r❀❤❴❷❦❥⑧②④❷❴➏✒❥❸➀➌✽❣❥⑥①✚⑦⑧⑦⑥⑨❾➀❞❙P①✚r❀r✒❤❸❷❦❥⑥②④❷❴➏✒❥ ➚
❻❼➐✶①✚⑩④② ❥⑧②④❤❴⑦⑧r✒① ❉➐❬♣❛❥⑧⑤❋❄ ➏✒❷❸①✚r✒r❋❄ ❤❴s❀➏❋➀❀r✒❤❸➏✒➐❬♣❡r❀r ❉➐❬♣❛❥⑥⑤❋❄ ➏❀❷❴①✚r❀r❋❄ ❤❴s❀➏❞❽❶❄P●♠⑤❀❤❂✇P①✚⑦ ➑ ①❡➆♦❥⑧⑤✒❤✾⑨⑧❤❴❷❴①✚r❀s✘♣❡➏✒❥⑥⑤❀①✚⑦♠✇♠♣❡⑨
⑨⑧➏✒➁❀➁❞①✚⑦⑥❥⑥❤❸s✌②④r✰➁❅♣❡⑦❚❥❇✉❣➂✰❁❂✽❣➠ ❉⑦❶♣❡r✜❥❉❁❇①❀❄ ❆✣✽ ❡➶ ❄
➪
✁✂✁
☎✄✝✆
✢✜
✧★
★
★
✩
✑
✓ ✕✘✗ ✙
✡✠
☞☛
✶
★
✳✲
✭✬✯✱
✮✑
✰
✍✌✏✎✒✑
✁✤✁
✭✬✯✱
✮✑
✰
✫
★
✟✞
✂✣
✷✬
✴✬
✸✲
✛✚
✔✓✖✕✘✗ ✙
✦✥
✵✰
✹✰
★
★
★✪
✭✬❀✑✱✰❁✄
✫✻✺✒✼✾✽ ✕ ✓✖✕✘✗ ✼
✿
❂
❄❃
✶
✁
❅✎
❄❆❅❇
✂✣
✖❈
✁
✑❍●❏■✹❑✒●▼▲◆❑P❖✖❖✦❖❏❑✒●▼◗
✁
✦✄✷❙
❭✥❪✑❫●▼▲
❬
❯❚ ❱❳❲
❵❴
❜❛
❂
✖❛ ❞✠
■
✬ ✼❤❣
✑✐✬ ■
❩
✁
❝✄
✁✂✁♣♦
❽❄❺
▲
❑
❩
■
✓ ❢ ♥q❑❫r❏✄
✝t ■
✉t ▲
✴t ▲ ✄
✁✤✁
②④③❏⑤⑦⑥❁⑧☎⑨❶⑩❸❷▼❹✘❷❶❹
◆✬ ■✸❢ ❖✦❖✖❖ ❢ ✬ ✼❤❣
❳✲
✐
✮✑
♥
✓
✖✄s✆
✇t ■
❂
❾
✛✚
✦❡
✁✂✁
✻✬❦❥✵✐
✮✑
✬♠❧
✈❡
✁✤❩
✶
✴●▼▲❅❨
❳✠
❉✄❋❊
❘✎
❊
✯❺
✁✂✁
■
✵❡
▲
✟❺
①✥
✦✄✭❻
■
❝❼s❽❄❺
❩
❫
❺➁
❿ ➀✳✄❘✆
♦
✁
➀①➂✹➃
✆
❬✻➄ ❺ ❿ ➀⑦➅➇➆
✁
✹❡
✁✂✁
❡
❉✄✟✆
➊
❯➋
➍➌
✏❈
✁
✁
✁
➈❚ ➉❳❲
✷➌❤➌
❤➐ ➌ ➐❤➑➏➒ ➋
➏➎
✖➓
➔➓
✷→
➎
➑❤➑❞➣ ➋❤➌
➣
✷➌
❤➑
ELA
♠● ⑤❀❤q♣❡⑩④③✚❤❴✉❀⑦❶♣❡②④❷✾❷❴①✚r❀r❀❤❴❷❦❥⑥② ❹✒② ❥❍➂✌①❡➆❪❥❍✇❱①✡❥⑥⑦⑧❤❴❤❴⑨❉❷❴①✚r❀r❀❤❴❷❦❥⑧❤❴s✘✉✜➂✰♣❡r✌❤❴s❀③✚❤q①❡➆♦②④r ❅r❀② ❥⑥❤❂✇❱❤❴②④③✚⑤✜❥
ë❣âêî✈ë✹å✐ô✈ë✹ì✜í❾ò➌é þ ã❛ÿ▲ò❞ù õö✶ð♦â➜ì❡ð✦ì✜ò➌é❾é❛ë✹ã❾ï❑ò✈å➡è✂í❾ò✘í❛ð♦ë➅ä î➌ë❣ü♦é❡ä❞â➜ì➇ì✜ò✈å➡å♦ë✹ì✜í❾âêô❋â❼í ❉âêë✹è ë❣éqð➃ä✈ãÑã❾ð♦ò❅ö✶å
í❾ð➃ä❅í✶í❾ð➡ë❣é❛ë✬ä✈é❾ë✌í❴ö✡ò✗è❪âêã❸í❾âêå➡ì✜í❬ï➃ò❋ã❾ã❾â❼ü➡â â❿í❛â❼ë✒ã✡ù ò✈é✶í❛ð♦ë✘ã❴í❛é❾æ➃ì✚í❾æ➡é❾ë✘ò✈ù❇í❾ð➡ë✹ã❾ë✘ë❣âêî✈ë❣å✐ô➌ë✹ì✚í❛ò✈é❡ã
Ý
þ ❉âêë✹è ë❣é ❍ÿ ❇Ð❣Õ ❡Ð✶Ø✰ÏÑÐ❣Ò❿Ó✒Ô❪Õ❶Ð❡Ö✰Õ⑥×❛Ð❛Ð➇Ú❞Ü✌Ý Þ❀Ð❣×✚Õ⑥Ò❚à❡Ð✜á êØ ❡Ð êÐ❛Ö
Ï✾Ò❍Õ Ô ❇Ø❡Ù ❼Ø➌à✜Ò❚Ø❞Ü ✗Ø❅Õ⑧×✚Ò ✴Ø❞Ü❑Ö Ø Ó❋Ð ❣×❾Ø❅Ò❚à☛à❡Ú❅Ü➃Ü❑Ð❡à✜Õ⑧Ò❍Þ✒Ò❍Õ
▲Ð✜Õ ❡Ð✟Ø❅Ü➉Ð✜Ò❿Ó❋Ð✜Ü➃Þ❀Ð❡à❣Õ❶Ú❞×✦Ú
Ø❀á❡á❣Ú✒à✜Ò❚Ø❞Õ❶Ð❡Ö✟Ï✾Ò❍Õ❍Ô
Ô➡Ð✜Ü❲Ð ✐Ø➌à✜Õ ✟Ú❅ÜPÐ✮Ú ✬Õ❍Ô➡Ð ✜Ú ❼Ú❅Ï✾Ò❍Ü✐Ó à❡Ø❀á❣Ð✜á✣Ú✒à❡à ❪×❡á
äþ ❋ÿ PÚ ✗Ð✬Ð✜Ü➃Õ⑥× ✕Ú Ò➜á Ü☛Õ❍Ô❪Ò➜á✌à❡Ø❀á❣Ð ❉Õ Ô♦Ð✰á ❶Ó❞×❛Ø❛Ù♦Ô☛Ú Ò❍Ü❑Ö ➡à❛Ð❡Ö ✂Õ Ô♦Ð✰á❣Ð✜ÕqÚ ❬Þ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á
à❡Ú❅×✚×❾Ð✜á⑧Ù♦Ú❞Ü❑Ö❞Ò❍Ü❋Ó✛Õ❶Ú✗Õ❍Ô➡Ð Ò❍Ü Ò➜á✘à❡Ú❞Ü➡Ü❑Ð❡à❣Õ❶Ð❡Ö Ú❞×❾Ð❡Ú❅Þ❅Ð✜× ÑÕ Ô♦Ð❣×❾Ð✂Ò➜á✂Ø ❪Ü➡Ò ➡Ð✘Þ❅Ð✜×✚Õ❦Ð ➛á ➡à❡Ô
Ø❅Ü❑Ö õÒ➜á✂Ø✈Ö ❣Ø✈à❡Ð✜Ü➃Õ➇Õ❶Ú✛Ø✗Þ❅Ð✜×✚Õ❦Ð
Ï✾Ò❍Õ❍Ô
Õ Ô♦Ø❅Õ
Ô➡Ð✮Ð❣Ü➡Õ⑧×✚Ò❚Ð✜á✣Ú Ø❅×❾Ð✎Ð✜Ò❍Õ Ô♦Ð❣×
Ò❍Ü❑à❣×❾Ð❡Ø❀á✚Ò❍Ü✐Ó ✡Ö➌Ð❡à✜×❾Ð❡Ø❅á❡Ò❍Ü✐Ó ➇Ú❅×✘Ò❚Ö✈Ð❣Ü➡Õ⑧Ò❚à❡Ø
Ø êÚ❅Ü❋Ó✳Ø❞Ü ✌Ù➡Ø❅Õ Ô✳Ò❍Ü ✓Ï▲Ô✐Ò❚à❡Ô☎á✚Õ❦Ø❅×✚Õ⑥á✘Ø❞Õ
Ü❲Õ Ô✐Ò➜á✟à❡Ø❀á❣Ð ❬Õ❍Ô➡Ð✜×❾Ð✦Ò➜á✟Ø ❪Ü➡Ò ➡Ð✰Ù➡Ø❅Ò❍×✟Ú ✕Þ❅Ð❣×✚Õ⑥Ò❚à❡Ð✜á ✗Ø❅ÜPÖ ❲á ➡à❡Ô
þ ü❑ÿ ✂Ú☎Ð❣Ü➡Õ⑧× Ú Ò➜á
Õ Ô♦Ø❅Õ ✮Ø❅ÜPÖ ÷Ø❅×❛Ð✟Ø✈Ö ❣Ø✈à❡Ð❣Ü➡Õ➅Ò❍Ü Ï✾Ò❍Õ Ô
Ø❅ÜPÖ
❪×✚Õ❍Ô➡Ð✜× ✗Ú❅×❾Ð ✶Õ❍Ô➡Ð✦Ð❣Ü➡Õ⑧×✚Ò❚Ð✚á✗Ú
Ø❅×❛Ð✂Ò❍ÜPà✜×❛Ð❛Ø❅á✚Ò❍Ü❋Ó☎Ø êÚ❅Ü❋Ó☎Ø❞Ü ✣Ù♦Ø❞Õ❍Ô Ò❍Ü ✓Ï▲Ô✐Ò❚à❡Ô á✚Õ❶Ø❞×✚Õ❚á✂Ø❞Õ ✂Ø❞Ü❑Ö✳Ö✈Ú✒Ð✜á✂Ü❑Ú❞Õ➇à❡Ú❅Ü➃Õ❶Ø❞Ò❍Ü ↕Ï▲Ô✐Ò ❼Ð
Õ Ô♦Ð✳Ð✜Ü➃Õ⑥×✚Ò❚Ð✜á✟Ú Ø❞×❾Ð✳Ö✈Ð❡à❣×❾Ð❡Ø❀á✚Ò❍Ü❋Ó❲Ø ❼Ú❅Ü✐Ó➛Ø❞Ü ✕Ù➡Ø❅Õ ÔÛÒ❍Ü ✲Ï▲Ô✐Ò❚à❡Ô❲á✚Õ❦Ø❅×✚Õ⑥á✛Ø❅Õ óØ❅ÜPÖçÖ➌Ú✹Ð✜á✦Ü❑Ú❞Õ
à❡Ú❅Ü➃Õ❶Ø❞Ò❍Ü
❰❃ö↕ë✹â❼î➌ð❋í❾ë✹è✟í❾é❛ë❣ë âêã✶ã❛ä❞â➜è✗í❛ò✕ü➃ë✘ò✈ù ❛Ù♦Ð â❼ù❉ì❣ò✈å➡è♦â❿í❛â❼ò➌å þ ä➌ÿ↕ð♦ò è♦ã✶ä✈å➡è✟â❼í✶âêã➇ò✈ù ❛Ù♦Ð
â❼ù❬ì✜ò✈å➃è❪â❿í❛â❼ò➌å þ ü➃ÿ✬ð♦ò è➡ã ù✶ì✜ò➌å➡è❪â❼í❾âêò✈å þ ä❋ÿ✌ð♦ò è♦ã✹ú♠í❾ð➡ë❣å çâêã✘ì✹ä ë✒è í❛ð♦ë à❡Ô♦Ø❅×❛Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à
Þ❅Ð✜×✚Õ❦Ð ✰ò✈ù
ù þ ü➃ÿÑð♦ò è♦ã✹ú➌í❾ð♦ë✹å✟ü❑ò❞í❾ð ✾ä❞å➡è ✎ä✈é❾ë➅ì✹ä ë✒è✕í❾ð➡ë✎à❡Ô♦Ø❅×❛Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✂Þ❀Ð❣×✚Õ⑧Ò❚à❛Ð✜á✾ò❞ù
þ ➇ð➡âêã❬í❾ë❣é❛û✕â❼å➡ò ò✈î ö✡ä➌ã✶ã❸æ♦î➌î✈ë✒ã❴í❛ë✹è✛ü ☎ë❣é❛é❛âêã ÿ í➅â➜ã ✐å♦ò❅ö✶å☛ù é❾ò➌û ❇í❛ð➡ä❅í❬â❼ù â➜ã✶å♦ò✈í
ä☛ã❸âêû✕ï ë✕ë✹â❼î➌ë❣å✐ô❅ä æ♦ë✈úPí❛ð♦ë❣åõä ì✜ò✈é❛é❛ë✹ã❾ï➃ò➌å➡è❪âêå♦î✟ë✹â❼î➌ë❣å✐ô✈ë✒ì✚í❾ò➌é❛ã â❼ë è í❾ð♦ë✗ã❛ä❞û✕ë✮í ï❑ë✕ò❞ùqí❛é❾ë✹ë
ä❞å➃è✂í❛ð♦ë➅ã❛ä❞û✕ë✶ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✡ô➌ë❣é❾í❾ë þ ò✈éÑô✈ë❣é❾í❾â➜ì✜ë✒ã❛ÿ ✐âêå➡ì❣ë❬ö↕ë❬ä✈é❾ë ❴ò➌â❼å♦âêå♦î✬í❴ö✡ò✌í❾é❛ë❣ë✹ã ä✈å➡è
ü ä❞å✟ë✒è❪î✈ë✬ò✈ù▲ö✡ë❣âêî✈ð❋í ý í❛ò✎ì❣é❾ë✒ä❅í❾ë✘ä✮å♦ë❣ö❘í❾é❛ë❣ë ❲ä❞å➡è☛ã❾â❼å➡ì❣ë✬ö↕ë✬ã❸ð➃ä ë❣í ý
ú❪ö✡ë
å♦ò❅ö❃è❪ë ➡å➡ë✬í❾ð♦ë✣ì❣ò✈å➡ì❣ë❣ï❪í✶ò❞ù❉í❾ð➡ë✬í ï❑ë✘ò❞ù❂ä✮í❾é❛ë❣ë✣ä❅í✶âêå ➡å♦â❼í
♠ë❣í ✶ä✈å➡è ✰ü➃ë✰í❾é❛ë❣ë✒ã➇ä❞å➡è ❴ò✈âêå✦í❾ð➡ë❣û✝ü ä❞å✛ë✹è❪î➌ë✰ø✬ò❞ù▲ö↕ë✹â❼î➌ð➌í ý
í❾ò✛ò✈ü❪í❡ä❞âêåçä✟å♦ë❣ößí❛é❾ë✹ë
❇ë✜í❸í❛â❼å➡î ý
úPö↕ë✎è❪ë ➃å♦ë✂í❛ð♦ë âêû✕â❿í✌í❾é❛ë❣ë
Õ❶Ú ❡Ð✗Ø ❛Ù♦Ð
Õ⑧×❾Ð❡Ð✗Ø❅Õ❬Ò❍Ü qÜ➡Ò❍Õ ✂ö✶â❼í❾ð➛ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✣ô✈ë❣é❾í❾ë ☎â❿ù↕í❾ð♦ë✹é❾ë✎ë ❪â➜ã❴í❡ã ý
ã❸æ➡ì❡ð í❾ð➡ä❞í✬ù ò✈é✬ä
ÿ✚ú âêã✘ä ï➃ë í❾é❛ë❣ë✕ö✶â❼í❾ð÷ì❡ð➡ä✈é❛ä➌ì✚í❾ë✹é❾â➜ã❸í❾â➜ì✣ô✈ë✹é❸í❛ë
✐âêû✕â ä❞é ú♠ö✡ë✦è❪ë ➃å♦ë
ý þý
Õ❦Ú ❡Ð✗Ø ❛Ù♦Ð Õ⑧×❾Ð❡Ð✕Ø❅Õ✶Ò❍Ü qÜ➡Ò❍Õ ✬ö✶â❿í❛ðçì❡ð➡ä✈é❛ä➌ì✚í❛ë❣é❛âêã❸í❾â➜ì✌ô✈ë❣é❾í❾â➜ì✜ë✒ã ➇ä❞å➡è ✟â❼ù✾í❾ð➡ë❣é❛ë✣ë ❪â➜ã❴í❡ã
ÿ✚ú çâêã✡ä ï➃ë í❾é❛ë❣ë✰ö✶â❿í❛ð✟ì❡ð➡ä✈é❛ä➌ì✚í❾ë✹é❾â➜ã❸í❾â➜ì➇ô✈ë❣é❾í❾â➜ì✜ë✒ã
ã❸æ➃ì❡ð✗í❾ð➡ä❞íÑù ò➌é↕ä ý þ❚ý
ý
Ñä✈å➡è
å☛í❾ð♦ë✘é❛ë❣û✗ä✈â❼å➡è♦ë❣é➇ò❞ù❉í❾ð♦â➜ã✶ï➡ä✈ï➃ë✹é✶ö↕ë✘ã❾ð➡ä ö✶é❛â❿í❛ë ù ò✈é
♠ë❣í ✂ü❑ë➅ä✘ô➌ë❣é❾í❾ë ✂â❼å✦ä✘í❾é❛ë❣ë ♠ë❣í ✰ü❑ë✶í❾ð♦ë➅û✕ä❞í❾é❛â ✕ò✈ü♦í❛ä❞âêå♦ë✒è✮ü è❪ë ë✜í❛â❼å➡î✘í❾ð♦ë ❋í❾ð
é❛ò❅ö ä❞å➡è ❋í❾ð✛ì❣ò æ♦û✕å✟ò✈ù ✐âêå➡ì✜ë âêã➇ä✎ã❸âêå♦î✈æ ä✈é✡ä✈å➡è✗âêé❾é❛ë✹è❪æ➃ì✜âêü ë ✐û✕ä❞í❾é❛â ❱ú❋â❿í➇ù ò ò❅ö❬ã
í❾ð➃ä❅í
ë ✐â➜ã❸í❛ã➇ä❞å➡è✛â➜ã✶ä✮å➡ò✈å♦å♦ë✹î➌ä❞í❾âêô✈ë✌û✕ä❞í❾é❛â
â➜ã✶ì❣ä ë✹è✦í❾ð♦ë ❡Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à ✕Ø❞Õ⑥×✚Ò
Ø❅Õ✾Þ ♠ë❣í
è❪ë❣å♦ò✈í❾ë➅í❾ð♦ë✬ã❸ë❣í↕ò✈ù♠ë✹è❪î➌ë✹ãqò➌å✗í❾ð➡ë➅ï➡ä❞í❾ð✗ù é❛ò✈û ✮í❾ò ➇ð➡ë❣å♠ú❪ä✈ì✹ì✜ò➌é❛è❪âêå♦î✬í❛ò ❶ú
þ ➌ÿ
ý✮þ ø❅ÿ
â➜ãÑï❑ë❣é❛û✂æ❪í❡ä❅í❛â❼ò➌å➡ä ã❾â❼û✕â ä✈éqí❛ò✎ä✂ü ò❪ì ✕è❪â➜ä❞î✈ò➌å➡ä û✗ä❅í❾é❛â Pú✐ö✶ð♦ë✹é❾ë➅í❾ð♦ë✰å✐æ♦û✂ü❑ë❣é✡ò❞ù❇ü ò❪ì ❪ã
â➜ã❉í❾ð♦ë❬è❪ë✹î✈é❛ë❣ë✡ò❞ùPô✈ë✹é❸í❛ë ✂ä✈å➡è✂ë✒ä✈ì❡ð✕ã❸æ➃ì❡ð✮ü ò❪ì ✣â➜ã✾ä✰ï❑ò➌ã❾â❼í❾âêô✈ë➇û✗ä❅í❾é❛â ✂ö✶ð♦â➜ì❡ð✕ì❣ò✈é❛é❾ë✒ã❸ï❑ò✈å➃è♦ã♠í❛ò
ä✘æ♦å➡â ❋æ♦ë✰ü♦é❛ä✈å➡ì❡ð✦ä❅í Ñä➌ì❡ð✦è❪â➜ä❞î✈ò➌å➡ä ü ò❪ì ✎ö✶â ü❑ë➅é❛ë✜ù ë✹é❾é❛ë✹è✎í❛ò✂ä✈ãqí❾ð♦ë ❡Ú❅Õ⑧Õ ❼Ð❣Ü❑Ð❡à ✕Ø❞Õ⑥×✚Ò
✜Ú❅×✕Õ Ô♦Ø❞Õ ✜×❾Ø❞Ü❑à❡Ô❲Ø❅Õ➅Þ ✐âêå➡ì✜ë✎í❛ð♦ë✎ã❾ï❑ë✹ì✚í❛é❛ä é❡ä✈è♦â❼æ➡ã✰ò❞ù✡ä✦ï❑ò➌ã❾â❿í❛â❼ô➌ë✮û✗ä❅í❛é❾â ☎âêã✌å♦ë✒ì✜ë✒ã❾ã❛ä❞é❛â ä❞å
ë❣âêî✈ë✹å✐ô❀ä æ➡ë þ ì❣ä ë✹è✛í❾ð♦ë ✶Ð❣×✚×❾Ú❞Ü Þ❅Ø ➡Ð❛ÿ➇ò❞ù▲í❾ð♦ë✘û✗ä❞í❾é❛â ❱ú❪â❼í✡ù ò ò❅ö❬ã✡í❾ð➃ä❅í➇í❾ð♦ë✣ã❾ï❑ë✹ì✚í❛é❛ä é❛ä➌è❪âêæ➡ã
ò❞ù âêãqë ❋æ➡ä í❾ò✬í❛ð♦ë ❂ë❣é❛é❛ò✈å✎ô❀ä æ➡ë✶ò❞ù❱ò✈å♦ë þ ò✈éÑã❾ë❣ô➌ë❣é❡ä ÿ▲ò❞ùPí❾ð♦ë✰è❪âêä✈î✈ò➌å➡ä ü ò❪ì ❪ã✾ò❞ù ➇ð♦ë
ü♦é❡ä❞å➡ì❡ð þ ë✹ã❡ÿ↕ä❅í ✦ì✜ò✈é❛é❛ë✹ã❾ï➃ò➌å➡è❪âêå♦î✣í❛ò✂í❛ð♦ë✬ü ò❪ì þ ã❡ÿ↕ò❞ù ö✶â❿í❛ð✟í❛ð♦ë ä✈é❾î➌ë✹ã❸í ❂ë✹é❾é❛ò✈å✗ô❅ä æ♦ë✘ä❞é❛ë
✐å♦ò❅ö✶å✳ä✈ã✡í❾ð➡ë ✶Ð✜×✚×❛Ú❅Ü ❣×❾Ø❞Ü❑à❡Ô ❴Ð✚á ✟Ø❅Õ✡Þ❅Ð✜×✚Õ❦Ð ✟Þ
❱
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s✞
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♦ ❢ ❖✦❖✖❖ ❢
➢➡❏✠ ✾❴ ❞✠
✦❴
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❒✴⑨❶❮Ï❰✔Ð①❰✈Ñ➁❰Ò⑤➘Ð✒❷❶❹✂Ó➁❹
×
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➭ÙÚ✥❪✑✒✎✯Ø Û
❵✄❘❊
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❺ ❿
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❿ ➃❄✄
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✁ ➥❆❄❇
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✍✣➁✄❘Ù
✳Ý✭Þ ✗ ß
áà
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ä
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å➺æ✾ç✾èÒé ê✦ëÏç➔ì❜é ê
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ELA
❀✻ ❄❅❆✬①✚⑩④② ❥⑥②④❤❴⑦⑧r❀①✡♣❡r❀s✬❆✎❄❀❁▲❤❴➏❀➐❬♣❡r❀r
ð♦ë✹å➛ü❑ò❞í❾í ë❣å♦ë✒ì û✗ä❅í❛é❾â➜ì✜ë✒ã✘ä❞é❛ë✮ü❑ë❣âêå♦î☎æ➡ã❾ë✹è♠ú♠í❾ð➡ë✗å♦ò❞í❡ä❅í❾âêò✈å
ö✶â û✕ë✹ä✈å✭Õ❍Ô➡Ð
❡Ú❅Õ⑧Õ êÐ✜ÜPÐ❛à ✗Ø❅Õ⑧×✚Ò ✜Ú❅×✕Õ Ô♦Ð ❣×❾Ø❅ÜPà❛ÔõØ❞Õ✶Þ❀Ð❣×✚Õ❶Ð Ûà❡Ú❞Ü➡Õ❦Ø❅Ò❍Ü➡Ò❍Ü✐Ó✳Þ❅Ð✜×✚Õ❦Ð ✦Ò❍Ü❲Õ⑧×❾Ð❡Ð ❇â ➌ë❣ö✶â➜ã❸ë➌ú
ö✶â è❪ë❣å♦ò✈í❾ë✕Õ Ô♦Ð ❛Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à ✗Ø❅Õ⑧×✚Ò ✜Ú❞×✘Õ❍Ô➡Ð ❣×❾Ø❞Ü❑à❡Ô Ø❅Õ✡Þ❅Ð✜×✚Õ❦Ð õà❛Ú❞Ü➡Õ❦Ø❅Ò❍Ü➃Ò❍Ü❋Ó☛Ð❛Ö✹Ó➌Ð
ø✎Ò❍Ü✟Õ⑧×❾Ð❡Ð
ö✶â û✎ë✒ä❞å✮í❾ð♦ë ❡Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à ✗Ø❅Õ⑧×✚Ò ✜Ú❞×❬Õ Ô♦Ð ✶Ð✜×✚×❛Ú❅Ü ✜×❾Ø❞Ü❑à❡Ô ❴Ð✜á ✮Ø❞Õ ☛Ò❍Ü
ù ✣ð➡ä✈ã❉û✕ò✈é❛ë✡í❾ð➡ä❞í❂ò➌å♦ë ❂ë❣é❛é❾ò➌å✣ü♦é❡ä❞å➡ì❡ð✮â❼å ✣ú❀í❾ð➡ë❣å
ö✶â ü❑ë þ ï➃ë✹é❾û✮æ❪í❛ä❞í❾âêò✈å➡ä ã❾â❼û✕â ä✈é
í❾ò✐ÿÑí❾ð♦ë✬ü ò❪ì ✦è❪âêä✈î✈ò➌å➡ä û✗ä❅í❾é❛â ✦ö✶ð♦ë❣é❛ë✰ë✒ä✈ì❡ð✛ü ò❪ì ✗â➜ã✡í❾ð♦ë✬ü❑ò❞í❾í ë❣å♦ë✒ì ✦û✗ä❅í❾é❛â ✗ù ò✈é✶ä ❂ë✹é❾é❛ò✈å
ü♦é❡ä❞å➡ì❡ð ä❅í ❲â❼å
➇ð♦é❛ò✈æ♦î➌ð♦ò✈æ♦í✂í❾ð➡ë☛ï➃ä❞ï❑ë❣é✕ö↕ë✳ã❾ð➡ä ä ã❾òõä✈è❪ò➌ï❪í✮í❛ð♦ë☛å♦ò❞í❡ä❅í❾âêò✈åÛí❾ð➡ä❞í✎â❼ù
ä❞å➡è çä❞å➡è ä✈é❾ë✶ò➌é❛è♦ë❣é❛ë✹è✕ã❸æ➡ü➡ã❸ë❣í❛ãÑò❞ù
Ý ➅ò✈ù♠ã❴í❛é❾â➜ì✚í â❼å➃ì✜é❛ë✹ä✈ã❾âêå♦î✬â❼å❋í❾ë✹î✈ë✹é❛ã✹ú
í❾ð➡ë❣å
Pâ➜ã✾í❾ð➡ë➅ã❸æ➡ü♦û✗ä❅í❾é❛â ✎ò✈ù ü➡ä✈ã❾ë✹è✎ò➌å✗é❾ò❅ö❬ãqä✈å➡è✗ì✜ò æ➡û✎å➃ãqè❪ë✜í❛ë❣é❛û✕â❼å♦ë✒è✗ü í❛ð♦ë➅ã❾ë✜í❡ã
ò❞ù❂âêå➡è❪â➜ì✜ë✹ã Ûä❞å➡è qú♦é❛ë✹ã❾ï❑ë✹ì✚í❛â❼ô➌ë
ë✣ã❸ð➡ä ä ã❾ò✎æ➡ã❸ë✬í❛ð♦ë✘å♦ò✈í❛ä❅í❛â❼ò➌å
➇ð♦ë✘å♦ë ✐í➇é❛ë✹ã❾æ í✶ù é❾ò➌û✝í❾ð➡ë â❼í❾ë✹é❛ä❞í❾æ♦é❛ë✌í❾ð➡ä❞í❬ö↕ë✘ã❾ð➡ä å♦ë❣ë✒è☛ð♦ë❣é❛ë✘ì✜ò✈û✕ë✒ã✡ù é❾ò➌û
þ â❼é ä✈å➡è❱✄ú ✂❬ë✹æ♦û✗ä❞å♦å♠ú❱ä✈å➡è ✐ð➡ä➌è❪ë❣é ❍ÿ ▲Ð❣Õ ❡Ð✗Ø✛ÏÑÐ✜Ò❿Ó❀Ô✐Õ❦Ð❡Ö✳Õ⑧×❾Ð❡Ð
✁
Ô♦Ð❣Ü Ò➜á✗Ø ❛Ù➡Ð Õ⑧×❾Ð❡Ð✂Ò ✗Ø❞Ü❑Ö✳Ú❅Ü ✛Ò ✮Õ Ô♦Ð❣×❾Ð✕Ò➜á✎Ð ✐Ø✈à❣Õ ☎Ú❅ÜPÐ✎Þ❀Ð❣×✚Õ❦Ð Ø❞Õ✶Ï▲Ô✐Ò❚à❡Ô➛Õ Ô♦Ð❣×❾Ð✗Ø❅×❾Ð
Õ⑧ÏÑÚ✛Ú❞× ✕Ú❞×❾Ð ✶Ð❣×✚×❾Ú❅Ü ❣×❾Ø❅ÜPà❛Ô➡Ð✚á ✓Ò➜á✮Ø ❛Ù➡Ð Õ⑥×❛Ð❛Ð✮Ò ✎Ø❅Ü❑Ö☛Ú❅Ü ✟Ò ✮Ø❅Õ❬Ð❡Ø✈à❡Ô Þ❅Ð❣×✚Õ❶Ð ☛Õ❍Ô➡Ð✜×❛Ð
Ò➜á✂Ø ❪Ü➃Ò ➡Ð ✶Ð❣×✚×❾Ú❅Ü ✜×❾Ø❞Ü❑à❡Ô Ú❅×❾Ð❡Ú❞Þ❀Ð❣×
þ ä❋ÿ õÒ➜á✣Ü❑Ú❅Õ✶Ø☛à❛Ô➡Ø❅×❾Ø➌à✜Õ❦Ð✜×✚Ò➜á✚Õ⑧Ò❚à✎Þ❀Ð❣×✚Õ❦Ð ✳Ú ÑÕ Ô♦Ð❣Ü Õ Ô♦Ð ❪Ü➡Ò ➡Ð ✶Ð✜×✚×❛Ú❅Ü ✜×❾Ø❞Ü❑à❡Ô Ú ➞Ø❞Õ
Ò➜á✘Õ❍Ô➡Ð ❣×❾Ø❞Ü❑à❡Ô✳Ï▲Ô✐Ò❚à❡Ô➛à❡Ú❅Ü➡Õ❦Ø❅Ò❍Ü➡á✘Õ❍Ô➡Ð✮à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✮Þ❅Ð✜×✚Õ❦Ð þ Ú❅×✣Þ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á❸ÿ✮Ú
þ ü❑ÿ ✣Ò➜á✂Õ Ô♦Ð✦à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✦Þ❀Ð❣×✚Õ❦Ð Ú ✎Ø ❛Ù➡Ð Õ⑥×❾Ð❡Ð ✡Õ Ô♦Ð❣Ü ✣Ò➜á✮Õ Ô♦Ð ❪Ü➃Ò ➡Ð✎Þ❅Ð❣×✚Õ❶Ð ✳Ï✾Ò❍Õ Ô
Õ⑧ÏÑÚ✟Ú❅× ✗Ú❅×❛Ð ✶Ð❣×✚×❾Ú❞Ü ❣×❾Ø❅ÜPà❛Ô➡Ð✚á
þ ì✒ÿ ✣Ø❅ÜPÖ ❲Ø❞×❾Ð✕à❛Ô➡Ø❅×❾Ø➌à✜Õ❦Ð❣×✚Ò➜á❡Õ⑧Ò❚à✕Þ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á✮Ú ✮Ø ❛Ù➡Ð Õ⑥×❛Ð❛Ð ÑÕ Ô♦Ð❣ÜçÕ Ô♦Ð ✶Ð❣×✚×❾Ú❞Ü ❣×❾Ø❅ÜPà❛Ô➛Ø❞Õ
✘à❛Ú❞Ü➡Õ❦Ø❅Ò❍Ü➡á qÏ▲Ô❪Ò ❼Ð✮Õ❍Ô➡Ð ✶Ð❣×✚×❾Ú❞Ü ❣×❾Ø❅ÜPà❛ÔçØ❅Õ çà❡Ú❞Ü➡Õ❦Ø❅Ò❍Ü♦á
♦é❛ò✈✆
û ☎✰ë ➡å➡â❿í❛â❼ò➌å ♦ú❋âêå✟ò✈é❡è❪ë✹éqù ò✈é óí❾ò✮ü➃ë✌ò❞ù ï➃ë ò✈é↕ò❞ù ï➃ë ä❞í↕âêå ➡å♦â❼í ú❋í❛ð♦ë❣é❛ë
û✂æ➃ã❴í✂ë ❪âêã❸í✮ä❞å÷ä✈ï♦ï♦é❛ò✈ï♦é❛â➜ä❅í❾ë✕ô❅ä æ♦ë ý
ã❾æ➡ì❡ð➛í❾ð➃ä❅í✮âêå þ ý
ÿ✚ú è❪ò✐ë✒ã✣å♦ò✈í✮ì❡ð➡ä❞å➡î✈ë
â❼í❛ã➅í ï❑ë✎å♦ò✈é✰â❿í❡ã✰ì❡ð➡ä✈é❛ä➌ì✚í❛ë❣é❛âêã❸í❾â➜ì✘ô✈ë✹é❸í❛âêì❣ë✹ã å☎í❛ð♦ë✮å➡ë ✐í➅í❛ð♦ë❣ò➌é❾ë✹û✩ö✡ë✮ã❾ð♦ò❅ö❃í❾ð➃ä❅í✘ã❸æ➡ì❡ð ä ý
ä ö➇ä ã✡ë ✐â➜ã❸í❛ã
✞✝
▲Ð✜Õ ❛Ð✮Ø✗Õ⑧×❾Ð❡Ð✣Ú ❣Õ❦Ø❅Ò❍Ü❑Ð❡Ö ❡×❾Ú ❣Ú❅Ò❍Ü➃Ò❍Ü❋Ó✟Õ⑥ÏÑÚ✕Õ⑧×❾Ð❡Ð✜á
✕Ø❞Ü❑Ö
Ø❅Ü❲Ð❡Ö❣Ó❋Ð✬ø☎Ú ✣ÏÑÐ❣Ò❿Ó❀Ô✐Õ ý Ô♦Ð❣ÜçÕ Ô♦Ð❣×❾Ð✕Ð ➌Ò➜á✚Õ⑥á✮Ø✦Ü ❡Ð❣× ý
á ➡à❡Ô☎Õ Ô♦Ø❞Õ➇Ò❍Ü þ❚ý
ÿ
Ö✈Ú✒Ð✜á✬ÜPÚ❅Õ✶à❛Ô➡Ø❅Ü✐Ó➌Ð✮Ò❍Õ⑥á✌Õ ❛Ù♦Ð✂Ü❑Ú❞×✘Ò❍Õ❚á✂à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✮Þ❅Ð✜×✚Õ❦Ð þ Þ❀Ð❣×✚Õ⑧Ò❚à❛Ð✜á❸ÿ
✡×❾Ú✒Ú ♠ë✜í
ä❞å➡è ë✜í ✟ü❑ë✮ä þ å♦ò❞í✌å♦ë✹ì❣ë✹ã❛ã❾ä✈é❾â æ♦å♦â ❋æ♦ë✒ÿ➅ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì✬ô➌ë❣é❾í❾ë ☛ò❞ù
✠✟
✐æ♦ï♦ï❑ò➌ã❾ë ➃é❛ã❸íÑí❛ð➡ä❅í➇ä❅í ❑ú ✄✎
✟ Ô♦Ø❀á✘Ø❅Õ ❼Ð❡Ø❅á❡Õ✾Õ⑧ÏÑÚ ✶Ð❣×✚×❾Ú❅Ü ❣×❾Ø❅ÜPà❛Ô➡Ð✚á✌Ï▲Ô✐Ò❚à❡Ô☎Ö✈Ú✎ÜPÚ❅ÕÑà❡Ú❅Ü➃Õ❶Ø❞Ò❍Ü
ø ➇ð♦ë✹å✳â❿ù
❇ú♦â❼í✶ù ò ò❅ö❬ã✡ù é❛ò✈û þ ✈ÿ➇ä✈å➡è✛ù é❾ò➌☛
û ✡↕ò✈é❛ò ä❞é
☞ þ ü➃ÿ↕ò✈ù
♠í❛ð➡ä❅í
þ ❋ÿ
✒✌
✌
✎✑✍ ✏
✓✑✍ ✔
ä✈é❾ë✘í❛ð♦ë✂ü❑ò❞í❾í ë❣å♦ë✒ì ✛û✗ä❞í❾é❛âêì❣ë✹ã✶ù ò➌é❬í❛ð♦ë✂ü♦é❡ä❞å➃ì❡ð✳ä❞í ✳ì✜ò➌å✗✖
ä❞å➡è
ö✶ð♦ë✹é❾ë
✕✍ ✏
✓✍ ✔
í❛ä✈â❼å➡â❼å♦î❲ø☎âêå ✟ ä❞å➃è ✠✘ é❛ë✹ã❾ï❑ë✹ì✚í❛â❼ô➌ë ➇ð♦ë❣é❛ë✜ù ò➌é❾ë➌ú✾ù ò✈é✗ä ✚✙ ▲ú✡ä❞í ë✹ä➌ã❴í✎í❴ö✡ò➛ò✈ù➅í❛ð♦ë
❂ë❣é❛é❛ò✈å✳ü♦é❡ä❞å➡ì❡ð♦ë✒ã➅ä❞í ☛â❼å ✟ ä❞é❛ë✣âêè♦ë❣å❋í❾â➜ì❣ä í❛ò✛ä❅í ë✒ä✈ã❸í➅í❴ö✡ò✦ò❞ù✾í❛ð♦ë ❂ë❣é❛é❾ò➌å☛ü➡é❛ä✈å➡ì❡ð♦ë✹ã✰ä❅í
âêå ✠✘ ➇ð❋æ➃ã ☛ð➡ä✈ã✰ä❅í ë✹ä➌ã❴í❬í❴ö✡ò ❂ë✹é❾é❛ò✈å☛ü♦é❡ä❞å➡ì❡ð♦ë✒ã✶âêå ✠✘✮û✗ä ❋âêå♦î ✠✘✕ä ï❑ë í❛é❾ë✹ë✣ö✶â❿í❛ð
ì❡ð➡ä✈é❛ä➌ì✚í❾ë✹é❾â➜ã❸í❾â➜ì➅ô➌ë❣é❾í❾ë ✦ù ò✈é❬ä ✛✙
✐æ♦ï➡ï➃ò❋ã❸ë✡å♦ò❅öõí❾ð➃ä❅í✾ä❅í ➃ú ✟ Ô♦Ø❀á❬Ú❅Ü ✂Ú❅ÜPÐ ✶Ð❣×✚×❾Ú❅Ü ✜×❾Ø❞Ü❑à❡Ô✎Ï▲Ô✐Ò❚à❡Ô✛Ö✈Ú✒Ð✚á➇Ü❑Ú❞Õ▲à❡Ú❅Ü➡Õ❦Ø❅Ò❍Ü✬ø ➇ð➡ë❣å
ü þ ❋ÿ✚ú ð➡ä✈ã✬ò➌å ò✈å♦ë ❂ë✹é❾é❛ò✈å ü➡é❛ä✈å➡ì❡ðçâêå ✄✘✟â❿ù
♠ë✜✢í ✜ ü➃ë✕í❛ð♦ë✦ã❸ë❣í✣ò❞ù✡ô✈ë❣é❾í❾â➜ì✜ë✒ã
ã❾æ➡ì❡ð☛í❾ð➡ä❞í ✣✜ â❼ùqä❞å➡è✳ò➌å â❿ù➅Ø❞Ü ✘ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✌ô➌ë❣é❾í❾ë ☛ò❞ù â➜ã❬ò✈å☛í❛ð♦ë✣ï➡ä❞í❾ð✳ù é❛ò✈û
í❾ò✛ø ❬❰✰ã✶í❛ð♦ë✂ö✡ë❣âêî✈ð❋í ý ò✈ù✾ø✮â➜ã❬âêå➡ì✜é❛ë✹ä➌ã❸ë✒è❱ú♦í❛ð♦ë✮ã❾ï➃ë✒ì✚í❛é❛ä é❛ä➌è❪âêâ❇ò❞ù❂í❛ð♦ë✂ü❑ò❞í❾í ë❣å♦ë✒ì ✛û✗ä❅í❛é❾â➜ì✜ë✒ã
ä❅í✘ä ô✈ë✹é❸í❛âêì❣ë✹ã ✤✜ ù ò➌é✌í❾ð♦ë✕ü♦é❡ä❞å➡ì❡ðçì✜ò✈å❋í❡ä❞âêå♦â❼å➡î✛ø✗è❪ë✒ì✜é❛ë✹ä✈ã❾ë ❪â❼å➡ì❣ë✂í❛ð♦ë✗ã❸ï❑ë✹ì✜í❾é❡ä é❡ä✈è❪âêâ
ò❞ùÑí❾ð♦ë✎ü➃ò✈í❸í ë✹å♦ë✹ì ☎û✗ä❅í❛é❾â➜ì✜ë✒ã✰ä❞í✌ä ô✈ë✹é❸í❛âêì❣ë✹ã ✥✜ ù ò✈é✌ü♦é❡ä❞å➡ì❡ð➡ë✹ã✰å♦ò❞í✘ì✜ò➌å➌í❡ä❞âêå♦âêå♦î✟ø þ ä✈å➡è
➉
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ò
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✂✣
÷
✻➮
✉❴
➥î
➢❃
✁
➺❃ ✁
➯
❜ñ
✁
✁
➦ ❛
❏ð
✁
÷
✁✤❩ ✄
➙➜➛①⑨▼⑤⑦③➁⑨❶⑩➬❷❶❹❪ÿ➘❹
➦
✁
✁✤✁
❄ú
✂❃
✁✂✁✤❩
✭û ♦ ❢ ❖✖❖✦❖ ❢ ✭ü
✂✣
✯ù
➾❴
✁✤✁
➢❃
✴ú
❢ ú➁❲
✆
✁
✱❺✝✄➹✆
✏ù
❚ù
❭î
✟Ù➹Þ ✗ ö
✂✣
④❺✝✄➽❊
➏✌◆à
✍✌♣✚
✵❺
✁
➢❃
◆❴
✁✤✁
ß❜õ➷✗ ö
Û
➏✌✷â
✍✌④✚
❭ï
✁
÷
➺✌✏à
✾✄✹➮
➀
✁✂✁
➳
❽
➀
➳
✁
➢❃
✁
ELA
♠● ⑤❀❤q♣❡⑩④③✚❤❴✉❀⑦❶♣❡②④❷✾❷❴①✚r❀r❀❤❴❷❦❥⑥② ❹✒② ❥❍➂✌①❡➆❪❥❍✇❱①✡❥⑥⑦⑧❤❴❤❴⑨❉❷❴①✚r❀r❀❤❴❷❦❥⑧❤❴s✘✉✜➂✰♣❡r✌❤❴s❀③✚❤q①❡➆♦②④r ❅r❀② ❥⑥❤❂✇❱❤❴②④③✚⑤✜❥
ð♦ë✹å➡ì✜ë✕å♦ò✈í✘ì❣ò✈å❋í❛ä✈â❼å➡â❼å♦î☎ä☛ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✮ô✈ë✹é❸í❛ë ò✈ù ❉ÿ✌é❛ë❣û✗ä✈â❼å➛ì✜ò✈å➃ã❴í❡ä❞å❋í✣ä✈ã ý â❼å➡ì❣é❾ë✒ä✈ã❾ë✹ã✹ú
ä❞å➃èçã❾â❼å➃ì✜ë✕â❼å ➉í❾ð➡ë✗æ♦å♦â ➌æ➡ë ❂ë✹é❾é❛ò✈åçü♦é❡ä❞å➡ì❡ð➛ä❅í✟Ø❅Ü ☎Ü❑Ú❅★Ü ✧❋à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✣ô✈ë✹é❸í❛ë ✩✜
ì✜ò➌å❋í❛ä❞âêå➡ã✕äõì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✟ô✈ë✹é❸í❛ë ÷ò❞ù
❑ú
þ ã❾ë❣ë ➇ð♦ë✹ò✈é❛ë❣û ✦ ÿ✜úÑâ❼í✗ù ò ò❅ö❬ã✮í❛ð➡ä❅í✗â❼ù
í❾ð➡ë✟ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✮ô✈ë✹é❸í❛ë þ ò✈é✂ô✈ë❣é❾í❾â➜ì✜ë✒ã❛ÿ✰ò✈ù âêë✦â❼✤
å ✜ ➇ð✐æ➡ã✣â❼ù
☎í❛ð♦ë❣✤
å ✜ ✫✪ ✜
➇ð♦ë✹é❾ë❣ù ò✈é❛ë✰ä✈ã ý â❼å➃ì✜é❛ë✹ä✈ã❾ë✹ã↕ü❑ë ò➌å➡è ❇ú✐í❾ð➡ë✬ì❡ð➃ä❞é❡ä✈ì✚í❛ë❣é❛âêã❸í❾â➜ì✶ô➌ë❣é❾í❾ë þ ò✈é➇ô✈ë✹é❸í❛âêì❣ë✹ã❡ÿqò✈ù õû✕ò❅ô✈ë
ù é❛ò✈û ✗ä❀ö✡ä ù é❾ò➌û✴ø ❪â❼å➡ì❣ë❬ù ò➌é✡ë✒ä✈ì❡ð ý í❾ð♦ë✹é❾ë✬ä❞é❛ë❬ò➌å ä ➡å♦â❼í❾ë✌å✐æ♦û✂ü❑ë❣é➇ò❞ù▲ô✈ë❣é❾í❾â➜ì✜ë✒ãqâê✬
å ✜
ä❞å➃è ã❾â❼å➡ì❣ë✭✜ ✮✪ ✜ ✦â❿ù
➃ú❇â❿í✬ù ò ò❅ö❬ã❬í❛ð➡ä❅í✬ù ò✈é✘ã❾ò✈û✕ë ý ä❞é❛î✈ë✮ë❣å♦ò➌æ♦î✈ð♠✯ú ✜ óö✶â ë ❋æ➡ä
✜ ✱✰✌ù ò✈é❬ä
ý ý ✳❬✲ ë✹å➡ì✜ë✘ü è❪ë ➡å➡â❿í❛â❼ò➌å☎ò❞✴ù ✜ ✡ú❪í❾ð♦ë✮ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì✰ô✈ë✹é❸í❛ë þ ò✈é❬ô➌ë❣é❾í❾â➜ì✜ë✹ã❡ÿ
ö✶â å➡ò❞í❬ì❡ð➡ä❞å➡î✈ë✘ä✈ã ý â➜ã✶â❼å➃ì✜é❛ë✹ä✈ã❾ë✹è✟ü➃ë ò➌å➡è ý
✵ ë✜ù ò➌é❾ë✕ö✡ë✦ì✜ò✈å❋í❛â❼å✐æ♦ë
ë✜í✂æ➃ã✘û✕ë❣å❋í❾âêò✈å➛í❾ð➃ä❅í✂âêå ➇ð♦ë❣ò➌é❾ë✹û ✶☞❪ú ý ì❣ä✈å♦å♦ò❞í✒ú▲âêåõî✈ë✹å♦ë❣é❡ä ú
ü❑ë✮í❡ä ➌ë❣å í❛ò✛ü❑ë ➡ò✈é✬ë ♦ä✈û✎ï ë➌ú ë❣í ✣ü➃ë✗ä✛ï➡ä❅í❛ðçò➌å ✛ô✈ë✹é❸í❛âêì❣ë✹ã✌ä❞å➡è ✎ü❑ë✗ä✟ï➡ä❞í❾ðçò✈å
✗ô➌ë❣é❾í❾â➜ì✜ë✒ã✰ä✈å➡è ì✜ò➌å➡ã❾âêè❪ë✹é ú ý
ú❑í❾ò✟ü❑ë✮í❾ð♦ë✗ì✜ò➌å♦å♦ë✒ì✚í❾âêò✈å ò❞ù ✣ä✈å➡è ✂í❾ð♦é❛ò✈æ♦î➌ð☎í❾ð➡ë❣âêé
ï❑ë❣å➡è♦ä✈å❋í❬ô✈ë❣é❾í❾â➜ì✜ë✒ã➇ä✈ã✡ù ò ò❅ö❬ã
✦
❵↔
❞✣
❺➁
❿ ➀
✈❡
❁❛
❞✣
❺➁
❿ ➀
❩
✆
❩
ß
❨
✁✂❩
❩
❩
✄✹❙
✁
❺ ❿ ➀
✁
✦❡
❭× ✄
♦ ✄
➥❺➘■
✁
❭×
➶➉
✻❺❏▲
✶
❨
✁✤✁
✁✤✁
①➀
➹✆
✁
❞✣
❱
➁➀
✁
❞✣
✁
✶
❺➁
❿ ➀
➁➀
✁✂✁
à
➘Þ☎✄
✝❈
×
❞❈
➁➀
ß
❞✣
✁✤✁
✯â✵❨Pà
❽
➜â➶❨
➭â✟❨➇à
❯❼
× ✄
➔❃
✁✤✁
➘Þ☎✄❯✆
☎✄↕➮
①Þ
✁✂✁
➁➀
✁
❺ ❿ ß
➳
❞✣
♦ ✄
➾✆
❞✣
➇t
❺➁
❿ ➀
✴ï
❘❺➘■
➾❺➁▲
✖✥
w
1
2
3
4
5
➇ð♦ë✹å õâ➜ã✶ä ï❑ë í❛é❾ë✹ë✬ö✶â❿í❛ð ✕ä✈å➡è ✦ ä➌ã➇â❿í❡ã✶ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì➅ô✈ë❣é❾í❾â➜ì✜ë✒ã➇ö✶ð♦ë❣å ý þ ÿ
â➜ã✰ä ï❑ë í❾é❛ë❣ë✮ö✶â❿í❛ð ✦ä➌ã➅â❼í❛ã✌ì❡ð➡ä✈é❛ä➌ì✚í❾ë✹é❾â➜ã❸í❾â➜ì✬ô✈ë❣é❾í❾ë ❱ú➃ö✶ð♦â ë✂âêå þ ÿ✚ú Ûâ➜ã✰ä ï❑ë
í❾é❛ë❣ë✬ö✶â❼í❾ð ✕ä❞å➃è ✕ä✈ã➇â❼í❛ã➅ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì➅ô✈ë❣é❾í❾â➜ì✜ë✒ã
å✳ò✈æ♦é✶ö✡ò✈é ✗ð♦ë✹é❾ë✬ö✡ë✬ã❾ð➡ä å♦ë✹ë✹è✛í❾ð➡ë✬ù ò ò❅ö✶âêå♦î✕é❾ë✒ã❸æ í
✸✷
þ â❼é ä✈å➡è❱ú✹✂❬ë✹æ♦û✗ä❞å♦å❇ú➡ä❞å➡è ✐ð➡ä➌è❪ë❣é ÿ ▲Ð❣Õ ❡Ð✎Ø✗ÏÑÐ❣Ò❿Ó✒Ô❪Õ❶Ð❡Ö✟Õ⑥×❾Ð❡Ð
✁
äþ ❋ÿ ✪Ò➜á✎Ø ❛Ù♦Ð Õ⑧×❾Ð❡Ð✮Ï✾Ò❍Õ❍Ôõà❡Ô♦Ø❞×❾Ø✈à❣Õ❦Ð✜×✚Ò➜á✚Õ⑧Ò❚à✕Þ❀Ð❣×✚Õ❦Ð ✡Õ Ô♦Ð❣ÜçÕ Ô♦Ð✗Ø Ó❋Ð ❣×❾Ø❅Ò❚à✛à❡Ú❅Ü➡ÜPÐ❡à✜Õ⑧Ò❍Þ✹Ò❍Õ
Ú Ò➜á ✑✺ ✌Pþ ÿ ÑÏ▲Ô♦Ð❣×❾Ð
Ò➜á✘Õ❍Ô➡Ð ❡Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à ✗Ø❅Õ⑧×✚Ò ☛Ø❞ÕÑÞ❅Ð✜×✚Õ❦Ð
üþ ❑ÿ
Ò➜á➇Ø ❛Ù♦Ð Õ⑥×❛Ð❛Ð✶Ï✾Ò❍Õ❍Ô✕à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à➅Þ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á ↕Ø❅ÜPÖ ❣Ú❅Ò❍ÜPÐ❡Ö ✬Ø❞Ü✟Ð❛Ö✹Ó➌Ð➅Ú ✡ÏÑÐ✜Ò❿Ó❀Ô✐Õ
✻ ❇Õ Ô♦Ð❣Ü✦Õ Ô♦Ð❣×❾Ð➅Ð ➌Ò➜á✚Õ❚á
á ➡à❛Ô✗Õ❍Ô➡Ø❅Õ ✌❑þ
ÿ ✿♠ÿ ✌Pþ
✽✼
✾þ ✼ ✺ ✻ ✕
þ❾þ ✼ ÿ ✺ ✻ ✕ÿ ✿❇ÿ ❇Ï▲Ô➡Ð✜×❾Ð
Ò➜á✌Õ❍Ô➡Ð ❡Ú❅Õ⑧Õ ❼Ð❣Ü❑Ð❡à ✗Ø❅Õ⑧×✚Ò ✜Ú❅×✬Õ Ô♦Ð ❣×❾Ø❞Ü❑à❡Ô☎Ø❅Õ à❛Ú❞Ü➡Õ❦Ø❅Ò❍Ü➃Ò❍Ü❋Ó qØ❅ÜPÖ
Ò➜á✌Õ Ô♦Ð ❛Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à
✗Ø❅Õ⑧×✚Ò ✜Ú❅×✣Õ Ô♦Ð ❣×❾Ø❅ÜPà❛Ô➛Ø❅Õ ✂à❡Ú❅Ü➃Õ❶Ø❞Ò❍Ü➡Ò❍Ü❋Ó
Ú❞×❾Ð❡Ú❅Þ❅Ð✜× ➇Õ❍Ô➡Ð✕Ø Ó❋Ð ❣×❾Ø❞Ò❚à✦à❡Ú❅Ü➡ÜPÐ❡à✜Õ⑧Ò❍Þ✹Ò❍Õ ✛Ú ✓Ò➜á
✑✺ ✌❑þ
ÿ ✿❇ÿ þ Ï▲Ô✐Ò❚à❡Ô➛Ð ➡Ø ④á ✑✺ ✌Pþ
❀þ ✼ ✺ ✻ ✓
þ❾þ ✼ ÿ ✺ ✻ ✕ÿ ✿♠ÿ❾ÿ
✐âêå➡ì✜ë✂í❾ð♦ë✎û✗ä❞âêå☎í❾ð➡ë❣ò✈é❛ë❣û✸ò✈ù✾í❾ð♦â➜ã✌ï➡ä❞ï❑ë❣é✬ì✜ò➌å➡ì✜ë✹é❾å➡ã❬í❾ð♦ë✎ä î✈ë✹ü♦é❛ä✈âêì✂ì✜ò✈å➡å♦ë✹ì✜í❾âêô❋â❼í ò❞ùqí❛ð♦ë
í❾é❛ë❣ë
☛ú❱â❿í✬âêã✌âêû✕ï➃ò➌é❸í❡ä❞å❋í➅í❛ò✛ë ä✈ü➃ò➌é❛ä❞í❾ë✣ò➌å ð♦ò❅ö qþ ✰ÿ❬â➜ã✬ì✜ò➌û✎ï➡æ❪í❾ë✒è ✐æ♦ï♦ï❑ò➌ã❾ë ➃é❛ã❸í
í❾ð➃ä❅í ☛â➜ã❇ä✶í❛é❾ë✹ëÑò✈ù ï➃ë ö✶â❿í❛ð✮ì❡ð➡ä✈é❛ä➌ì✚í❛ë❣é❛âêã❸í❾â➜ì❂ô✈ë✹é❸í❛ë ➅ù ò➌é▲ä ý þ❚ý
ÿ ➇ð♦ë✹å✘ù ò✈é❉ä
ÿ✡è❪ë✹ì❣é❾ë✒ä✈ã❾ë✹ã
✜
ÿ
ú
✕
➡
ð
✈
ä
➇
ã
❅
ä
í
✹
ë
✈
ä
❸
ã
Ñ
í
❴
í
✡
ö
ò
❂
❣
ë
❛
é
❾
é
➌
ò
✗
å
♦
ü
❛
é
✈
ä
➡
å
❡
ì
♦
ð
✒
ë
q
ã
ê
â
å
❪
❼
â
➡
å
❣
ì
ë
ý þý
✌❑þ
✓✑✍ ❁
ä✈ã ý âêå➡ì✜é❛ë✹ä➌ã❸ë✒ã❣ú✐â❼í✶ù ò ò❅ö❬ã✡í❛ð➡ä❅í➅ø✣âêã✶å➡ò❞í✶ò✈å☎ä ❂ë❣é❛é❾ò➌å✦ü♦é❡ä❞å➡ì❡ð✳ä❅í ✦âêå ➇ð♦ë❣é❛ë✜ù ò➌é❾ë
ÿ
ý þý
✆
❺➁
❿ ➀
❺ ❿ ■
❩
✴✆
❩
✷✆
❂➧❂
❅➉
✁✂✁
♦
✛✚➭➞
➦
■
✝❴
✍✌➥✚
♦
➽Ù
✝❚ þ❵❲ ④✞
❯✆
◆❴
✼
❜✠
➺Ü✟☛
✍✌
➯➧➯
➺✌
✶
❦✠
➢Ü✵☛
➚
♦
✻➚
❤➨
Ù☞■
✍✌➍✚
➺✌✵r
➥✰
➢➸❞➨
♦
➔✠
▲
♦
✫
✛✚
♦
✫
➜✬➺➡
➤➥➵
Ù
Ù✉▲
❳✠
❜❛
✹❴✖❛
♣✑
➢➡
➤
✦❴
➤
❘✰❭➻
✫
❁✰
✝❴
❀✬
✫
➢➡
✫
▲
✝Ù
✹❴
✦❴
✁
✁
❺①
❿ ➃
s
❺➁
❿ ➀
❩
➟✆
× ❢ ✃
❽
➁✄✝➮
✁✤✁
❞✣➥t
✁
➟t
✴ï
× ❢ ✃
❽
á❺➁
❿ ➀♣✄↕➮
✁✤✁
➢Ü
➧✚➍➞
❩
❺ ❿
❬
❂
❜✠
❜❛
➤
✫
➮
❺➠
✥ ✑
❿
❩
⑦➞ý❴
➔✠
❀✬
✴❴
■
Ù
➯
❛
✷❺➁
❿ ➀
✁ ❵✥
❅➮
➏✌✟r❏➡
✼ ❤➡
➡
☛
❛
Ù
➯ ✚✭➞
✁✤✁
➺❃ ✁
❷❶❹ ➁❹
➦
♦ ❢ ✃
✖✄
➺❃
➯ ✚➭➞
✁
✖✣
❯➉
➙➜➛①⑨▼⑤⑦③➁⑨❶⑩
✶❶❢ ♦ ❞✄
❽
➶➉
s❱
❂
Ù
❂➏❂
❂
Ù
✴ï
✯t
ó Ø
å
Û
✹❈
✁✤✁
❤✄✭✆
õ➷✗ ö
❺➜
❿ ✄❘✆
♦
➄ ❺ ❿ ➅
❬
❢
✑
✌✴➄ Ù
✐æ♦ï➡ï➃ò❋ã❸ë✛å♦ë ✐í✎í❾ð➡ä❞í
âêã✎ò❞ù ï➃ë
ÿ
❂
ù
ø
❴
✈
ò
ê
â
➡
å
ã
Ñ
✈
ä
➡
å
è
➡ú♦í❾ð♦ë✹å
þý
âêû
â❼û
➮
ý
❽
❞✣
❭× ❢ ✃
❞✄
❂
✁
➀①➂✝➃
❿ ➅ý✑
➄ ❺➍
❬
❺ ❿ ➀
➍✲
❬
❭✬
➭✆
❩
Ø ✗✎ö❂✍ ❁
❂➧❂
× ❢ ✃
❽
❤❖
➅
ö✶â❼í❾ð➉ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✕ô➌ë❣é❾í❾â➜ì✜ë✒ã ✘ä❞å➃è
✹✬
ù ò✈é✕ä
✻✰
✁✤✁
✏✰
❿ ➀⑦➅ý✑
➄ ❺➁
✁
➀①➂✹➃
✌
♦
➄ Ù
ó ✕
Û
✙➏õ➷✗✕ö✑✍ ❁
♦
✫✚❃ ➀
❁
❢
✑
✿①➅
✌
➄ Ù
ó ✕
✙➏õ➷✗✕ö ✍
Û
➅
ö✶ð♦ë✹é❾ë ✩✼
ä✈ì✹ì✜ò➌é❛è❪âêå♦î✎í❾ò ➇ð♦ë✹ò✈é❛ë❣û ❄ í➅ã❸ð➡ò✈æ è✟ü❑ë✣å♦ò✈í❾ë✒è✦í❛ð➡ä❅í❬â❼ù â➜ã➇ò❞ù ï❑ë
ä❞å➃è✟ü❑ò❞í❛ð☛â❼í❛ã➅ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì✰ô✈ë✹é❸í❛âêì❣ë✹ã Ñä❞å➃è ✦ä❞é❛ë✌âêå➡ì❣âêè❪ë✹å❋í✶í❾ò✗ø❋ú❪í❾ð♦ë✹å✳â❿í❬â➜ã➇ï➃ò❋ã❾ã❾âêü ë✌ù ò➌é
✶
❂➧❂
➚
➀
➚
♦
♦ ✄ ▼✄
✏✆
✳✬
✴✰
❂
✁
❺ ❿
↕✆
✁
❩
ELA
☞
❀✻ ❄❅❆✬①✚⑩④② ❥⑥②④❤❴⑦⑧r❀①✡♣❡r❀s✬❆✎❄❀❁▲❤❴➏❀➐❬♣❡r❀r
qä❞
A publication of the International Linear Algebra Society.
Volume 8, pp. 1-13, January 2001.
ISSN 1081-3810. http://math.technion.ac.il/iic/ela
ELA
✂✁☎✄✝✆✟✞✡✠☛✄✌☞✎✍✟✆✟✏✒✑✓✑✕✔✗✖☎✖☎✄✘✑✂✂✏✚✙✛✏✜✣✢✤✔✦✥✧✘★✩✔✪✂✍✟✄✌✄✬✫✭✑✕✔✗✖☎✖☎✄✘✑✮✣✄✰✯
☞✂✢✱✆✛✖✲✄✌✯✳✠☛✄✴✔✗✥✵✏✜✖☎✥✶✏✜✖☎✏✜✂✄✷★✸✄✌✏✹✠☛✁☎✮✺
✻✚✼✾✽❀✿❂❁❃✻❅❄❇❆✣✿❉❈❋❊❍●❇❊❍■❑❏▲❁❉✿✾▼✎◆P❖P◗❘❆✬❊❚❙❱❯▲✼▲■❑❈❲❁❇■P❳❉❆✬✼❉❁❉❁❉▼
❨❬❩❪❭❴❫❛❵❛❜❞❝❡❫❣❢ ❈✐❤❦❥♠❧♦♥q♣❡r❀s✰❧❋tq✉✈❤❂❥❍✇P①✡✇❱❤❴②④③✚⑤❣❥⑥❤❴s✌❥⑥⑦⑧❤❴❤❴⑨❇✇❇② ❥⑥⑤✬♣❡⑩④③✚❤❴✉❀⑦❶♣❡②④❷✾❷❴①✚r❀r✒❤❸❷❦❥⑥② ❹✒② ❥⑥②④❤❴⑨❂❺♦❻❼❧♦♥❾❽❱♣❡r❀s✌❺♦❻❿❧✐t✜❽❶➀
⑦⑧❤❴⑨⑥➁✈❤❴❷❦❥⑥② ❹✜❤❸⑩ ➂✜❄➃✼✳❹✜❤❴⑦⑥❥⑥❤❴➄❬①✚r➅①✚r❀❤❂①❡➆❪❥⑥⑤❀❤❉❥⑥⑦⑧❤❴❤❴⑨♠②④⑨P❷❴①✚r❀r❀❤❴❷❦❥⑧❤❴s✌❥⑥①➇♣q❹✜❤❴⑦⑥❥⑥❤❴➄➅①✚r✶❥⑥⑤❀❤✾①❡❥⑧⑤✒❤❸⑦♠✉✜➂❬♣❡r➅❤❸s✒③✚❤✾①❡➆✐✇❱❤❴②④③✚⑤❣❥
❥⑥⑦⑧❤❴❤➉➌➊❧ ➋❉❄✟➍❑➂✗②④r✜❥⑧❤❴⑦⑥⑩➎♣❡❷❸②④r✒③✮➁❀⑦⑥①✚➁❞❤❸⑦❚❥⑧②④❤❴⑨➇①❡➆❂❤❸②④③✚❤❴r✜❹✚♣❡⑩④➏❀❤❴⑨❬①❡➆❂⑨❚➂✒➐✶➐✶❤❦❥⑥⑦⑧②④❷✶➐❬♣❛❥⑥⑦⑧②④❷❴❤❴⑨➇② ❥➇②④⑨
➈➑ r❀①❾❥⑥✇❇①✮r✦①✚✉✹❥⑧❥❶⑤❅♣❡♣❛②④❥❬r✛❺♦♣✘❻➌❋r❀➊❧ ➋❇❤❦✇➉
❽✰➒➉➐✶②④r❞➓❾❺♦❻❼❧♦♥❛❽❦➔⑥❺♦❻❼❧❋t✚❽⑥→✎➣↕↔P➙➛❄✟❊➜❥✶②④⑨✡s❀❤❦❥⑧❤❴⑦⑧➐✶②④r✒❤❸s✦➁❀⑦⑥❤❴❷❸②④⑨⑥❤❴⑩ ➂✕✇❇⑤❀❤❴r✟❺♦❻❋❋➊❧ ➋❇❽❬➝➞➙✝♣❡⑨
➈♣❡r❀s✌➝✝➢❂➟✳②④⑦⑧❷❶❄❂⑤❀➠➡①❡➤♠②④r❀➥ ♣❡⑨♠⑩④⑩➎⑩ ➂❣♣❸✇❇➀➌♣❬⑨❸❄ ➁❞①✚⑨⑧⑨⑧②④✉✒⑩④❤↕②④r✜❥⑧❤❴⑦⑥➁❀⑦⑧❤❦❥⑧♣❛❥⑧②④①✚r✂②④⑨❂③✚② ❹✜❤❴r✣①❡➆❑❥⑥⑤❀②④⑨✾⑦⑧❤❴⑨⑧➏✒⑩ ❥❉❥⑥①➅❥⑥⑤❀❤↕❥⑥⑤❀❤❴①✚⑦⑥➂✣①❡➆❑❤❴⑩④❤❸❷❦❥⑥⑦⑧②④❷❸♣❡⑩➡❷❸②④⑦⑥❷❴➏❀② ❥⑧⑨
➦✌➧❣➨✗➩↕➫ ❵❡➭❪❭✚❢❉➯ ❤❴②④③✚⑤✜❥⑧❤❴s✌❥⑥⑦⑧❤❴❤✚➀❅❈❪♣❡➁❀⑩➎♣❡❷❴②➎♣❡r✬➐❬♣❛❥⑥⑦⑧② ➄✈➀✹✼❉⑩④③✚❤❴✉❀⑦❶♣❡②④❷❉❷❸①✚r✒r❀❤❴❷❴❥⑥② ❹✹② ❥❍➂❣➀✈■➃⑩④❤❸❷❦❥⑥⑦⑧②④❷❸♣❡⑩❋❷❴②④⑦⑥❷❸➏✒② ❥❾❄
❨❬➲➛➳✟❭❛➵✐❩❋➸ ➧ ❝❡❫❬❝❣➺❿❜❞❭❸❭❛➻④➼➡❝✚❜❀❫✚➻ ➫❋➽ ❭✚❢❉➾ ❙ ➾✚➚ ➀❋➪ ➾ ✼❉➶✜➹
➘❑➴ ✏❣➷P➬❣➮❅➱♠✃❉❐▲❒✈➬✹❮❚➱❑➷ ➴✂❰✩ÏÑÐ✜Ò❿Ó❀Ô✐Õ❦Ð❡Ö✦Ó❞×❛Ø❛Ù♦ÔÛÚ❅Ü☎ÝßÞ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á➅â➜ã✬ä❞åçæ♦å➡è❪âêé❾ë✒ì✚í❛ë✹èçî✈é❡ä❞ï♦ðçñóò✈å
Ý✭ô✈ë✹é❸í❛âêì❣ë✹ã✂ã❾æ➡ì❡ðõí❛ð➡ä❅í✎ö✶â❿í❛ð÷ë✹ä➌ì❡ð❲ë✹è❪î➌ë✟ø✟ò✈ù✰ñ↕ú❂í❾ð♦ë✹é❾ë✦â➜ã✂ä✈åÛä✈ã❛ã❾ò✐ì❣âêä❞í❾ë✒èçï❑ò➌ã❾â❼í❾âêô✈ë✦å✐æ♦û✮ü➃ë✹é
ý✂þ ø❀ÿ✰ö✶ð♦â➜ì❡ð â➜ã✬ì❣ä ë✹è í❾ð♦ë✳ÏÑÐ❣Ò❿Ó✒Ô❪Õ✾ò❞ùqí❛ð♦ë✕ë✹è❪î➌ë✎ø ➇ð♦ë ❇Ø❡Ù ❼Ø➌à✜Ò❚Ø❞Ü ✗Ø❅Õ⑧×✚Ò
þ ÿ✕Ú ✕Ø
ÏÑÐ❣Ò❿Ó✒Ô❪Õ❶Ð❡Ö✎Ó❞×❾Ø❡Ù♦ÔçÚ❅Ü✛Ý➉Þ❅Ð❣×✚Õ⑥Ò❚à❡Ð✜á✡â➜ã✡í❾ð♦ë✘Ý ☛Ýçû✗ä❅í❛é❾â ✟ò➌ü❪í❛ä✈â❼å♦ë✒è✛ä➌ã✡ù ò ò❅ö❬ã
â❿ù ✦ä✈å➡è✛ø✣âêã➇í❛ð♦ë✘ë✹è♦î✈ë ❴ò✈âêå♦âêå♦î ↕ä❞å➃è ➃ú
ý✮þ ø❅ÿ
â❿ù ✦ä✈å➡è Ñâêã✶å➡ò❞í❬ä✈è ❸ä➌ì✜ë✹å➌í➇í❛ò ➡ú
â❿ù
í☎âêã ✐å♦ò❅ö✶å❘í❾ð➡ä❞í âêã✳ä➉ã❸âêå♦î➌æ ä✈é ❋û✗ä❅í❛é❾â ❘ä❞å➡è❘ð♦ë❣å➃ì✜ë➛ï➃ò❋ã❸â❼í❾âêô✈ëõã❸ë✹û✕âêè❪ë ➡å♦â❼í❾ë ♠ë❣í
✳ü❑ë✂ä❞å ä✈é❾é❡ä❞å➡î✈ë❣û✕ë✹å➌í✶ò✈ù❉í❛ð♦ë✂ë✹â❼î➌ë❣å✐ô❅ä æ♦ë✹ã❬ò❞ù ✭â❼å å♦ò✈å➡è♦ë✹ì✜é❛ë✹ä➌ã❸âêå♦î
ò✈é❡è❪ë✹é ❉âêë✹è ë❣é ✡ã❾ð♦ò❅ö↕ë✒è í❛ð➡ä❅í
â❿ù❬ä❞å➃èõò✈å â❼ù➅ñ â➜ã✣ì✜ò➌å♦å♦ë✒ì✚í❾ë✒èõä❞å➡è➛ð♦ë✗í❛ë❣é❛û✕ë✹è
✌í❛ð♦ë✟Ø Ó❋Ð ✜×❾Ø❞Ò❚à✗à❡Ú❅Ü➡ÜPÐ❡à✜Õ⑧Ò❍Þ✹Ò❍Õ ✟Ú ✰ñ
qþ ñ❂ÿ
å ä î✈é❡ä❞ï♦ð➉ñÑú↕ä à ✈à ❼Ð✎â➜ã✎ä ã❾ë ❋æ♦ë❣å➃ì✜ë✟ò✈ù✰ä✈è ❸ä✈ì✜ë✹å❋í✮ô✈ë✹é❸í❛âêì❣ë✹ã
úqã❸æ➡ì❡ðÛí❾ð➡ä❞í
ö✶â❼í❾ð
ù ò➌é✌ä
ä❞å➡è☛ù ò➌é✌ä
➅❰ Õ⑥×❛Ð❛Ð❬âêã✌ä✦ì❣ò✈å♦å♦ë✒ì✚í❛ë✹è
î✈é❡ä❞ï➡ð➛ö✶â❼í❾ðÛå♦ò ì ì ë✒ã ➇ð✐æ➡ã✹ú❂î✈âêô✈ë❣å❲ä✈å í❴ö✡ò☎ô✈ë❣é❾í❾â➜ì✜ë✒ã ä✈å➡è â❼å÷ä✳í❛é❾ë✹ë✈ú❉í❾ð➡ë❣é❛ë✦âêã✮ä
æ♦å♦â ❋æ♦ë✘ï➡ä❞í❾ð☛ù é❾ò➌û
í❾ò
å☛í❾ð♦â➜ã✶ï➡ä✈ï➃ë✹é✶ö↕ë✘ã❾ð➡ä ì✜ò➌å➡ã❾âêè❪ë✹é➇í❾ð♦ë✬ù ò ò❅ö✶âêå♦î ❋æ♦ë✒ã❴í❛â❼ò➌å
❇ë✜í ä✈å➡è ü➃ë✌í❴ö✡ò✣í❛é❾ë✹ë✹ã ➌ò✈âêå✦í❛ð♦ë✌í❾é❛ë❣ë✒ã✡ä❞í✡ô➌ë❣é❾í❾â➜ì✜ë✒ã
ä✈å➡è
ü ä❞å☛ë✹è❪î➌ë✘ø✣ò❞ù❉ö↕ë✹â❼î➌ð❋í ý í❛ò✗ò✈ü❪í❡ä❞âêå☛ä✎å♦ë✹ö❘í❛é❾ë✹ë
➇ð♦ë✹å✛ö✶ð➡ä❞í❬âêã
â❼û
þ ÿ
▲ò☎ì✜ò✈å➃ã❸â➜è❪ë❣é✌í❛ð♦âêã ➌æ➡ë✹ã❸í❾âêò✈å➛ö↕ë✕å♦ë✹ë✹è í❾ò✳æ➡ã❾ë✕ã❾ë❣ô➌ë❣é❡ä é❛ë✹ã❾æ í❡ã✰ù é❾ò➌û í❾ð♦ë â❼í❾ë❣é❡ä❅í❛æ♦é❛ë✈ú❇ã❾ò✈û✕ë
ò❞ù➇ö✶ð♦â➜ì❡ðõö↕ë✗ö✶â ❋æ♦ò❞í❛ë✎ð➡ë❣é❛ë✕ù ò✈é✂ì❣ò✈å✐ô✈ë✹å♦â❼ë✹å➡ì✜ë ➇ð♦ë ➡é❡ã❸í✬é❛ë✹ã❾æ í✘ù é❾ò➌û ↕è♦âêã❛ì✜æ➡ã❛ã❾ë✹ã✬í❛ð♦ë
❏♠❤❸❷❴❤❴② ❹✜❤❴s☛✉✜➂✕❥⑥⑤❀❤✬❤❴s❀② ❥⑥①✚⑦⑧⑨✶①✚r ➚ ✼❉➏✒③✚➏❀⑨⑥❥ ➚✚➚✚➚ ❄☛✼❉❷❴❷❴❤❴➁✒❥⑧❤❴s✟➆ê①✚⑦✶➁❀➏✒✉❀⑩④②④❷❸♣❛❥⑧②④①✚r✟①✚r ✎✻✜♣❡r✹➏❀♣❡⑦⑥➂ ➚✚➚ ➪✚❄
❯❉♣❡r✒s❀⑩④②④r❀③➇■➃s❀② ❥⑧①✚⑦❸↔➃➍P⑦⑥➂❣♣❡r✌❈➃❄❞✽✹⑤❅♣❡s✒❤❸⑦❸❄
➚✚➚
▼ ❤❴➁❅♣❡⑦❚❥⑧➐✶❤❴r✜❥▲①❡➆➡❆✘♣❛❥⑥⑤❀❤❴➐❬♣❛❥⑥②④❷❸⑨❸➀❞❳▲r✒② ❹✜❤❸⑦⑥⑨⑧② ❥❍➂❬①❡➆❑❙P①✚r❀r❀❤❴❷❦❥⑧②④❷❴➏✒❥❸➀➌✽❣❥⑥①✚⑦⑧⑦⑥⑨❾➀❞❙P①✚r❀r✒❤❸❷❦❥⑥②④❷❴➏✒❥ ➚
❻❼➐✶①✚⑩④② ❥⑧②④❤❴⑦⑧r✒① ❉➐❬♣❛❥⑧⑤❋❄ ➏✒❷❸①✚r✒r❋❄ ❤❴s❀➏❋➀❀r✒❤❸➏✒➐❬♣❡r❀r ❉➐❬♣❛❥⑥⑤❋❄ ➏❀❷❴①✚r❀r❋❄ ❤❴s❀➏❞❽❶❄P●♠⑤❀❤❂✇P①✚⑦ ➑ ①❡➆♦❥⑧⑤✒❤✾⑨⑧❤❴❷❴①✚r❀s✘♣❡➏✒❥⑥⑤❀①✚⑦♠✇♠♣❡⑨
⑨⑧➏✒➁❀➁❞①✚⑦⑥❥⑥❤❸s✌②④r✰➁❅♣❡⑦❚❥❇✉❣➂✰❁❂✽❣➠ ❉⑦❶♣❡r✜❥❉❁❇①❀❄ ❆✣✽ ❡➶ ❄
➪
✁✂✁
☎✄✝✆
✢✜
✧★
★
★
✩
✑
✓ ✕✘✗ ✙
✡✠
☞☛
✶
★
✳✲
✭✬✯✱
✮✑
✰
✍✌✏✎✒✑
✁✤✁
✭✬✯✱
✮✑
✰
✫
★
✟✞
✂✣
✷✬
✴✬
✸✲
✛✚
✔✓✖✕✘✗ ✙
✦✥
✵✰
✹✰
★
★
★✪
✭✬❀✑✱✰❁✄
✫✻✺✒✼✾✽ ✕ ✓✖✕✘✗ ✼
✿
❂
❄❃
✶
✁
❅✎
❄❆❅❇
✂✣
✖❈
✁
✑❍●❏■✹❑✒●▼▲◆❑P❖✖❖✦❖❏❑✒●▼◗
✁
✦✄✷❙
❭✥❪✑❫●▼▲
❬
❯❚ ❱❳❲
❵❴
❜❛
❂
✖❛ ❞✠
■
✬ ✼❤❣
✑✐✬ ■
❩
✁
❝✄
✁✂✁♣♦
❽❄❺
▲
❑
❩
■
✓ ❢ ♥q❑❫r❏✄
✝t ■
✉t ▲
✴t ▲ ✄
✁✤✁
②④③❏⑤⑦⑥❁⑧☎⑨❶⑩❸❷▼❹✘❷❶❹
◆✬ ■✸❢ ❖✦❖✖❖ ❢ ✬ ✼❤❣
❳✲
✐
✮✑
♥
✓
✖✄s✆
✇t ■
❂
❾
✛✚
✦❡
✁✂✁
✻✬❦❥✵✐
✮✑
✬♠❧
✈❡
✁✤❩
✶
✴●▼▲❅❨
❳✠
❉✄❋❊
❘✎
❊
✯❺
✁✂✁
■
✵❡
▲
✟❺
①✥
✦✄✭❻
■
❝❼s❽❄❺
❩
❫
❺➁
❿ ➀✳✄❘✆
♦
✁
➀①➂✹➃
✆
❬✻➄ ❺ ❿ ➀⑦➅➇➆
✁
✹❡
✁✂✁
❡
❉✄✟✆
➊
❯➋
➍➌
✏❈
✁
✁
✁
➈❚ ➉❳❲
✷➌❤➌
❤➐ ➌ ➐❤➑➏➒ ➋
➏➎
✖➓
➔➓
✷→
➎
➑❤➑❞➣ ➋❤➌
➣
✷➌
❤➑
ELA
♠● ⑤❀❤q♣❡⑩④③✚❤❴✉❀⑦❶♣❡②④❷✾❷❴①✚r❀r❀❤❴❷❦❥⑥② ❹✒② ❥❍➂✌①❡➆❪❥❍✇❱①✡❥⑥⑦⑧❤❴❤❴⑨❉❷❴①✚r❀r❀❤❴❷❦❥⑧❤❴s✘✉✜➂✰♣❡r✌❤❴s❀③✚❤q①❡➆♦②④r ❅r❀② ❥⑥❤❂✇❱❤❴②④③✚⑤✜❥
ë❣âêî✈ë✹å✐ô✈ë✹ì✜í❾ò➌é þ ã❛ÿ▲ò❞ù õö✶ð♦â➜ì❡ð✦ì✜ò➌é❾é❛ë✹ã❾ï❑ò✈å➡è✂í❾ò✘í❛ð♦ë➅ä î➌ë❣ü♦é❡ä❞â➜ì➇ì✜ò✈å➡å♦ë✹ì✜í❾âêô❋â❼í ❉âêë✹è ë❣éqð➃ä✈ãÑã❾ð♦ò❅ö✶å
í❾ð➃ä❅í✶í❾ð➡ë❣é❛ë✬ä✈é❾ë✌í❴ö✡ò✗è❪âêã❸í❾âêå➡ì✜í❬ï➃ò❋ã❾ã❾â❼ü➡â â❿í❛â❼ë✒ã✡ù ò✈é✶í❛ð♦ë✘ã❴í❛é❾æ➃ì✚í❾æ➡é❾ë✘ò✈ù❇í❾ð➡ë✹ã❾ë✘ë❣âêî✈ë❣å✐ô➌ë✹ì✚í❛ò✈é❡ã
Ý
þ ❉âêë✹è ë❣é ❍ÿ ❇Ð❣Õ ❡Ð✶Ø✰ÏÑÐ❣Ò❿Ó✒Ô❪Õ❶Ð❡Ö✰Õ⑥×❛Ð❛Ð➇Ú❞Ü✌Ý Þ❀Ð❣×✚Õ⑥Ò❚à❡Ð✜á êØ ❡Ð êÐ❛Ö
Ï✾Ò❍Õ Ô ❇Ø❡Ù ❼Ø➌à✜Ò❚Ø❞Ü ✗Ø❅Õ⑧×✚Ò ✴Ø❞Ü❑Ö Ø Ó❋Ð ❣×❾Ø❅Ò❚à☛à❡Ú❅Ü➃Ü❑Ð❡à✜Õ⑧Ò❍Þ✒Ò❍Õ
▲Ð✜Õ ❡Ð✟Ø❅Ü➉Ð✜Ò❿Ó❋Ð✜Ü➃Þ❀Ð❡à❣Õ❶Ú❞×✦Ú
Ø❀á❡á❣Ú✒à✜Ò❚Ø❞Õ❶Ð❡Ö✟Ï✾Ò❍Õ❍Ô
Ô➡Ð✜Ü❲Ð ✐Ø➌à✜Õ ✟Ú❅ÜPÐ✮Ú ✬Õ❍Ô➡Ð ✜Ú ❼Ú❅Ï✾Ò❍Ü✐Ó à❡Ø❀á❣Ð✜á✣Ú✒à❡à ❪×❡á
äþ ❋ÿ PÚ ✗Ð✬Ð✜Ü➃Õ⑥× ✕Ú Ò➜á Ü☛Õ❍Ô❪Ò➜á✌à❡Ø❀á❣Ð ❉Õ Ô♦Ð✰á ❶Ó❞×❛Ø❛Ù♦Ô☛Ú Ò❍Ü❑Ö ➡à❛Ð❡Ö ✂Õ Ô♦Ð✰á❣Ð✜ÕqÚ ❬Þ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á
à❡Ú❅×✚×❾Ð✜á⑧Ù♦Ú❞Ü❑Ö❞Ò❍Ü❋Ó✛Õ❶Ú✗Õ❍Ô➡Ð Ò❍Ü Ò➜á✘à❡Ú❞Ü➡Ü❑Ð❡à❣Õ❶Ð❡Ö Ú❞×❾Ð❡Ú❅Þ❅Ð✜× ÑÕ Ô♦Ð❣×❾Ð✂Ò➜á✂Ø ❪Ü➡Ò ➡Ð✘Þ❅Ð✜×✚Õ❦Ð ➛á ➡à❡Ô
Ø❅Ü❑Ö õÒ➜á✂Ø✈Ö ❣Ø✈à❡Ð✜Ü➃Õ➇Õ❶Ú✛Ø✗Þ❅Ð✜×✚Õ❦Ð
Ï✾Ò❍Õ❍Ô
Õ Ô♦Ø❅Õ
Ô➡Ð✮Ð❣Ü➡Õ⑧×✚Ò❚Ð✜á✣Ú Ø❅×❾Ð✎Ð✜Ò❍Õ Ô♦Ð❣×
Ò❍Ü❑à❣×❾Ð❡Ø❀á✚Ò❍Ü✐Ó ✡Ö➌Ð❡à✜×❾Ð❡Ø❅á❡Ò❍Ü✐Ó ➇Ú❅×✘Ò❚Ö✈Ð❣Ü➡Õ⑧Ò❚à❡Ø
Ø êÚ❅Ü❋Ó✳Ø❞Ü ✌Ù➡Ø❅Õ Ô✳Ò❍Ü ✓Ï▲Ô✐Ò❚à❡Ô☎á✚Õ❦Ø❅×✚Õ⑥á✘Ø❞Õ
Ü❲Õ Ô✐Ò➜á✟à❡Ø❀á❣Ð ❬Õ❍Ô➡Ð✜×❾Ð✦Ò➜á✟Ø ❪Ü➡Ò ➡Ð✰Ù➡Ø❅Ò❍×✟Ú ✕Þ❅Ð❣×✚Õ⑥Ò❚à❡Ð✜á ✗Ø❅ÜPÖ ❲á ➡à❡Ô
þ ü❑ÿ ✂Ú☎Ð❣Ü➡Õ⑧× Ú Ò➜á
Õ Ô♦Ø❅Õ ✮Ø❅ÜPÖ ÷Ø❅×❛Ð✟Ø✈Ö ❣Ø✈à❡Ð❣Ü➡Õ➅Ò❍Ü Ï✾Ò❍Õ Ô
Ø❅ÜPÖ
❪×✚Õ❍Ô➡Ð✜× ✗Ú❅×❾Ð ✶Õ❍Ô➡Ð✦Ð❣Ü➡Õ⑧×✚Ò❚Ð✚á✗Ú
Ø❅×❛Ð✂Ò❍ÜPà✜×❛Ð❛Ø❅á✚Ò❍Ü❋Ó☎Ø êÚ❅Ü❋Ó☎Ø❞Ü ✣Ù♦Ø❞Õ❍Ô Ò❍Ü ✓Ï▲Ô✐Ò❚à❡Ô á✚Õ❶Ø❞×✚Õ❚á✂Ø❞Õ ✂Ø❞Ü❑Ö✳Ö✈Ú✒Ð✜á✂Ü❑Ú❞Õ➇à❡Ú❅Ü➃Õ❶Ø❞Ò❍Ü ↕Ï▲Ô✐Ò ❼Ð
Õ Ô♦Ð✳Ð✜Ü➃Õ⑥×✚Ò❚Ð✜á✟Ú Ø❞×❾Ð✳Ö✈Ð❡à❣×❾Ð❡Ø❀á✚Ò❍Ü❋Ó❲Ø ❼Ú❅Ü✐Ó➛Ø❞Ü ✕Ù➡Ø❅Õ ÔÛÒ❍Ü ✲Ï▲Ô✐Ò❚à❡Ô❲á✚Õ❦Ø❅×✚Õ⑥á✛Ø❅Õ óØ❅ÜPÖçÖ➌Ú✹Ð✜á✦Ü❑Ú❞Õ
à❡Ú❅Ü➃Õ❶Ø❞Ò❍Ü
❰❃ö↕ë✹â❼î➌ð❋í❾ë✹è✟í❾é❛ë❣ë âêã✶ã❛ä❞â➜è✗í❛ò✕ü➃ë✘ò✈ù ❛Ù♦Ð â❼ù❉ì❣ò✈å➡è♦â❿í❛â❼ò➌å þ ä➌ÿ↕ð♦ò è♦ã✶ä✈å➡è✟â❼í✶âêã➇ò✈ù ❛Ù♦Ð
â❼ù❬ì✜ò✈å➃è❪â❿í❛â❼ò➌å þ ü➃ÿ✬ð♦ò è➡ã ù✶ì✜ò➌å➡è❪â❼í❾âêò✈å þ ä❋ÿ✌ð♦ò è♦ã✹ú♠í❾ð➡ë❣å çâêã✘ì✹ä ë✒è í❛ð♦ë à❡Ô♦Ø❅×❛Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à
Þ❅Ð✜×✚Õ❦Ð ✰ò✈ù
ù þ ü➃ÿÑð♦ò è♦ã✹ú➌í❾ð♦ë✹å✟ü❑ò❞í❾ð ✾ä❞å➡è ✎ä✈é❾ë➅ì✹ä ë✒è✕í❾ð➡ë✎à❡Ô♦Ø❅×❛Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✂Þ❀Ð❣×✚Õ⑧Ò❚à❛Ð✜á✾ò❞ù
þ ➇ð➡âêã❬í❾ë❣é❛û✕â❼å➡ò ò✈î ö✡ä➌ã✶ã❸æ♦î➌î✈ë✒ã❴í❛ë✹è✛ü ☎ë❣é❛é❛âêã ÿ í➅â➜ã ✐å♦ò❅ö✶å☛ù é❾ò➌û ❇í❛ð➡ä❅í❬â❼ù â➜ã✶å♦ò✈í
ä☛ã❸âêû✕ï ë✕ë✹â❼î➌ë❣å✐ô❅ä æ♦ë✈úPí❛ð♦ë❣åõä ì✜ò✈é❛é❛ë✹ã❾ï➃ò➌å➡è❪âêå♦î✟ë✹â❼î➌ë❣å✐ô✈ë✒ì✚í❾ò➌é❛ã â❼ë è í❾ð♦ë✗ã❛ä❞û✕ë✮í ï❑ë✕ò❞ùqí❛é❾ë✹ë
ä❞å➃è✂í❛ð♦ë➅ã❛ä❞û✕ë✶ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✡ô➌ë❣é❾í❾ë þ ò✈éÑô✈ë❣é❾í❾â➜ì✜ë✒ã❛ÿ ✐âêå➡ì❣ë❬ö↕ë❬ä✈é❾ë ❴ò➌â❼å♦âêå♦î✬í❴ö✡ò✌í❾é❛ë❣ë✹ã ä✈å➡è
ü ä❞å✟ë✒è❪î✈ë✬ò✈ù▲ö✡ë❣âêî✈ð❋í ý í❛ò✎ì❣é❾ë✒ä❅í❾ë✘ä✮å♦ë❣ö❘í❾é❛ë❣ë ❲ä❞å➡è☛ã❾â❼å➡ì❣ë✬ö↕ë✬ã❸ð➃ä ë❣í ý
ú❪ö✡ë
å♦ò❅ö❃è❪ë ➡å➡ë✬í❾ð♦ë✣ì❣ò✈å➡ì❣ë❣ï❪í✶ò❞ù❉í❾ð➡ë✬í ï❑ë✘ò❞ù❂ä✮í❾é❛ë❣ë✣ä❅í✶âêå ➡å♦â❼í
♠ë❣í ✶ä✈å➡è ✰ü➃ë✰í❾é❛ë❣ë✒ã➇ä❞å➡è ❴ò✈âêå✦í❾ð➡ë❣û✝ü ä❞å✛ë✹è❪î➌ë✰ø✬ò❞ù▲ö↕ë✹â❼î➌ð➌í ý
í❾ò✛ò✈ü❪í❡ä❞âêåçä✟å♦ë❣ößí❛é❾ë✹ë
❇ë✜í❸í❛â❼å➡î ý
úPö↕ë✎è❪ë ➃å♦ë✂í❛ð♦ë âêû✕â❿í✌í❾é❛ë❣ë
Õ❶Ú ❡Ð✗Ø ❛Ù♦Ð
Õ⑧×❾Ð❡Ð✗Ø❅Õ❬Ò❍Ü qÜ➡Ò❍Õ ✂ö✶â❼í❾ð➛ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✣ô✈ë❣é❾í❾ë ☎â❿ù↕í❾ð♦ë✹é❾ë✎ë ❪â➜ã❴í❡ã ý
ã❸æ➡ì❡ð í❾ð➡ä❞í✬ù ò✈é✬ä
ÿ✚ú âêã✘ä ï➃ë í❾é❛ë❣ë✕ö✶â❼í❾ð÷ì❡ð➡ä✈é❛ä➌ì✚í❾ë✹é❾â➜ã❸í❾â➜ì✣ô✈ë✹é❸í❛ë
✐âêû✕â ä❞é ú♠ö✡ë✦è❪ë ➃å♦ë
ý þý
Õ❦Ú ❡Ð✗Ø ❛Ù♦Ð Õ⑧×❾Ð❡Ð✕Ø❅Õ✶Ò❍Ü qÜ➡Ò❍Õ ✬ö✶â❿í❛ðçì❡ð➡ä✈é❛ä➌ì✚í❛ë❣é❛âêã❸í❾â➜ì✌ô✈ë❣é❾í❾â➜ì✜ë✒ã ➇ä❞å➡è ✟â❼ù✾í❾ð➡ë❣é❛ë✣ë ❪â➜ã❴í❡ã
ÿ✚ú çâêã✡ä ï➃ë í❾é❛ë❣ë✰ö✶â❿í❛ð✟ì❡ð➡ä✈é❛ä➌ì✚í❾ë✹é❾â➜ã❸í❾â➜ì➇ô✈ë❣é❾í❾â➜ì✜ë✒ã
ã❸æ➃ì❡ð✗í❾ð➡ä❞íÑù ò➌é↕ä ý þ❚ý
ý
Ñä✈å➡è
å☛í❾ð♦ë✘é❛ë❣û✗ä✈â❼å➡è♦ë❣é➇ò❞ù❉í❾ð♦â➜ã✶ï➡ä✈ï➃ë✹é✶ö↕ë✘ã❾ð➡ä ö✶é❛â❿í❛ë ù ò✈é
♠ë❣í ✂ü❑ë➅ä✘ô➌ë❣é❾í❾ë ✂â❼å✦ä✘í❾é❛ë❣ë ♠ë❣í ✰ü❑ë✶í❾ð♦ë➅û✕ä❞í❾é❛â ✕ò✈ü♦í❛ä❞âêå♦ë✒è✮ü è❪ë ë✜í❛â❼å➡î✘í❾ð♦ë ❋í❾ð
é❛ò❅ö ä❞å➡è ❋í❾ð✛ì❣ò æ♦û✕å✟ò✈ù ✐âêå➡ì✜ë âêã➇ä✎ã❸âêå♦î✈æ ä✈é✡ä✈å➡è✗âêé❾é❛ë✹è❪æ➃ì✜âêü ë ✐û✕ä❞í❾é❛â ❱ú❋â❿í➇ù ò ò❅ö❬ã
í❾ð➃ä❅í
ë ✐â➜ã❸í❛ã➇ä❞å➡è✛â➜ã✶ä✮å➡ò✈å♦å♦ë✹î➌ä❞í❾âêô✈ë✌û✕ä❞í❾é❛â
â➜ã✶ì❣ä ë✹è✦í❾ð♦ë ❡Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à ✕Ø❞Õ⑥×✚Ò
Ø❅Õ✾Þ ♠ë❣í
è❪ë❣å♦ò✈í❾ë➅í❾ð♦ë✬ã❸ë❣í↕ò✈ù♠ë✹è❪î➌ë✹ãqò➌å✗í❾ð➡ë➅ï➡ä❞í❾ð✗ù é❛ò✈û ✮í❾ò ➇ð➡ë❣å♠ú❪ä✈ì✹ì✜ò➌é❛è❪âêå♦î✬í❛ò ❶ú
þ ➌ÿ
ý✮þ ø❅ÿ
â➜ãÑï❑ë❣é❛û✂æ❪í❡ä❅í❛â❼ò➌å➡ä ã❾â❼û✕â ä✈éqí❛ò✎ä✂ü ò❪ì ✕è❪â➜ä❞î✈ò➌å➡ä û✗ä❅í❾é❛â Pú✐ö✶ð♦ë✹é❾ë➅í❾ð♦ë✰å✐æ♦û✂ü❑ë❣é✡ò❞ù❇ü ò❪ì ❪ã
â➜ã❉í❾ð♦ë❬è❪ë✹î✈é❛ë❣ë✡ò❞ùPô✈ë✹é❸í❛ë ✂ä✈å➡è✂ë✒ä✈ì❡ð✕ã❸æ➃ì❡ð✮ü ò❪ì ✣â➜ã✾ä✰ï❑ò➌ã❾â❼í❾âêô✈ë➇û✗ä❅í❾é❛â ✂ö✶ð♦â➜ì❡ð✕ì❣ò✈é❛é❾ë✒ã❸ï❑ò✈å➃è♦ã♠í❛ò
ä✘æ♦å➡â ❋æ♦ë✰ü♦é❛ä✈å➡ì❡ð✦ä❅í Ñä➌ì❡ð✦è❪â➜ä❞î✈ò➌å➡ä ü ò❪ì ✎ö✶â ü❑ë➅é❛ë✜ù ë✹é❾é❛ë✹è✎í❛ò✂ä✈ãqí❾ð♦ë ❡Ú❅Õ⑧Õ ❼Ð❣Ü❑Ð❡à ✕Ø❞Õ⑥×✚Ò
✜Ú❅×✕Õ Ô♦Ø❞Õ ✜×❾Ø❞Ü❑à❡Ô❲Ø❅Õ➅Þ ✐âêå➡ì✜ë✎í❛ð♦ë✎ã❾ï❑ë✹ì✚í❛é❛ä é❡ä✈è♦â❼æ➡ã✰ò❞ù✡ä✦ï❑ò➌ã❾â❿í❛â❼ô➌ë✮û✗ä❅í❛é❾â ☎âêã✌å♦ë✒ì✜ë✒ã❾ã❛ä❞é❛â ä❞å
ë❣âêî✈ë✹å✐ô❀ä æ➡ë þ ì❣ä ë✹è✛í❾ð♦ë ✶Ð❣×✚×❾Ú❞Ü Þ❅Ø ➡Ð❛ÿ➇ò❞ù▲í❾ð♦ë✘û✗ä❞í❾é❛â ❱ú❪â❼í✡ù ò ò❅ö❬ã✡í❾ð➃ä❅í➇í❾ð♦ë✣ã❾ï❑ë✹ì✚í❛é❛ä é❛ä➌è❪âêæ➡ã
ò❞ù âêãqë ❋æ➡ä í❾ò✬í❛ð♦ë ❂ë❣é❛é❛ò✈å✎ô❀ä æ➡ë✶ò❞ù❱ò✈å♦ë þ ò✈éÑã❾ë❣ô➌ë❣é❡ä ÿ▲ò❞ùPí❾ð♦ë✰è❪âêä✈î✈ò➌å➡ä ü ò❪ì ❪ã✾ò❞ù ➇ð♦ë
ü♦é❡ä❞å➡ì❡ð þ ë✹ã❡ÿ↕ä❅í ✦ì✜ò✈é❛é❛ë✹ã❾ï➃ò➌å➡è❪âêå♦î✣í❛ò✂í❛ð♦ë✬ü ò❪ì þ ã❡ÿ↕ò❞ù ö✶â❿í❛ð✟í❛ð♦ë ä✈é❾î➌ë✹ã❸í ❂ë✹é❾é❛ò✈å✗ô❅ä æ♦ë✘ä❞é❛ë
✐å♦ò❅ö✶å✳ä✈ã✡í❾ð➡ë ✶Ð✜×✚×❛Ú❅Ü ❣×❾Ø❞Ü❑à❡Ô ❴Ð✚á ✟Ø❅Õ✡Þ❅Ð✜×✚Õ❦Ð ✟Þ
❱
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❀✻ ❄❅❆✬①✚⑩④② ❥⑥②④❤❴⑦⑧r❀①✡♣❡r❀s✬❆✎❄❀❁▲❤❴➏❀➐❬♣❡r❀r
ð♦ë✹å➛ü❑ò❞í❾í ë❣å♦ë✒ì û✗ä❅í❛é❾â➜ì✜ë✒ã✘ä❞é❛ë✮ü❑ë❣âêå♦î☎æ➡ã❾ë✹è♠ú♠í❾ð➡ë✗å♦ò❞í❡ä❅í❾âêò✈å
ö✶â û✕ë✹ä✈å✭Õ❍Ô➡Ð
❡Ú❅Õ⑧Õ êÐ✜ÜPÐ❛à ✗Ø❅Õ⑧×✚Ò ✜Ú❅×✕Õ Ô♦Ð ❣×❾Ø❅ÜPà❛ÔõØ❞Õ✶Þ❀Ð❣×✚Õ❶Ð Ûà❡Ú❞Ü➡Õ❦Ø❅Ò❍Ü➡Ò❍Ü✐Ó✳Þ❅Ð✜×✚Õ❦Ð ✦Ò❍Ü❲Õ⑧×❾Ð❡Ð ❇â ➌ë❣ö✶â➜ã❸ë➌ú
ö✶â è❪ë❣å♦ò✈í❾ë✕Õ Ô♦Ð ❛Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à ✗Ø❅Õ⑧×✚Ò ✜Ú❞×✘Õ❍Ô➡Ð ❣×❾Ø❞Ü❑à❡Ô Ø❅Õ✡Þ❅Ð✜×✚Õ❦Ð õà❛Ú❞Ü➡Õ❦Ø❅Ò❍Ü➃Ò❍Ü❋Ó☛Ð❛Ö✹Ó➌Ð
ø✎Ò❍Ü✟Õ⑧×❾Ð❡Ð
ö✶â û✎ë✒ä❞å✮í❾ð♦ë ❡Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à ✗Ø❅Õ⑧×✚Ò ✜Ú❞×❬Õ Ô♦Ð ✶Ð✜×✚×❛Ú❅Ü ✜×❾Ø❞Ü❑à❡Ô ❴Ð✜á ✮Ø❞Õ ☛Ò❍Ü
ù ✣ð➡ä✈ã❉û✕ò✈é❛ë✡í❾ð➡ä❞í❂ò➌å♦ë ❂ë❣é❛é❾ò➌å✣ü♦é❡ä❞å➡ì❡ð✮â❼å ✣ú❀í❾ð➡ë❣å
ö✶â ü❑ë þ ï➃ë✹é❾û✮æ❪í❛ä❞í❾âêò✈å➡ä ã❾â❼û✕â ä✈é
í❾ò✐ÿÑí❾ð♦ë✬ü ò❪ì ✦è❪âêä✈î✈ò➌å➡ä û✗ä❅í❾é❛â ✦ö✶ð♦ë❣é❛ë✰ë✒ä✈ì❡ð✛ü ò❪ì ✗â➜ã✡í❾ð♦ë✬ü❑ò❞í❾í ë❣å♦ë✒ì ✦û✗ä❅í❾é❛â ✗ù ò✈é✶ä ❂ë✹é❾é❛ò✈å
ü♦é❡ä❞å➡ì❡ð ä❅í ❲â❼å
➇ð♦é❛ò✈æ♦î➌ð♦ò✈æ♦í✂í❾ð➡ë☛ï➃ä❞ï❑ë❣é✕ö↕ë✳ã❾ð➡ä ä ã❾òõä✈è❪ò➌ï❪í✮í❛ð♦ë☛å♦ò❞í❡ä❅í❾âêò✈åÛí❾ð➡ä❞í✎â❼ù
ä❞å➡è çä❞å➡è ä✈é❾ë✶ò➌é❛è♦ë❣é❛ë✹è✕ã❸æ➡ü➡ã❸ë❣í❛ãÑò❞ù
Ý ➅ò✈ù♠ã❴í❛é❾â➜ì✚í â❼å➃ì✜é❛ë✹ä✈ã❾âêå♦î✬â❼å❋í❾ë✹î✈ë✹é❛ã✹ú
í❾ð➡ë❣å
Pâ➜ã✾í❾ð➡ë➅ã❸æ➡ü♦û✗ä❅í❾é❛â ✎ò✈ù ü➡ä✈ã❾ë✹è✎ò➌å✗é❾ò❅ö❬ãqä✈å➡è✗ì✜ò æ➡û✎å➃ãqè❪ë✜í❛ë❣é❛û✕â❼å♦ë✒è✗ü í❛ð♦ë➅ã❾ë✜í❡ã
ò❞ù❂âêå➡è❪â➜ì✜ë✹ã Ûä❞å➡è qú♦é❛ë✹ã❾ï❑ë✹ì✚í❛â❼ô➌ë
ë✣ã❸ð➡ä ä ã❾ò✎æ➡ã❸ë✬í❛ð♦ë✘å♦ò✈í❛ä❅í❛â❼ò➌å
➇ð♦ë✘å♦ë ✐í➇é❛ë✹ã❾æ í✶ù é❾ò➌û✝í❾ð➡ë â❼í❾ë✹é❛ä❞í❾æ♦é❛ë✌í❾ð➡ä❞í❬ö↕ë✘ã❾ð➡ä å♦ë❣ë✒è☛ð♦ë❣é❛ë✘ì✜ò✈û✕ë✒ã✡ù é❾ò➌û
þ â❼é ä✈å➡è❱✄ú ✂❬ë✹æ♦û✗ä❞å♦å♠ú❱ä✈å➡è ✐ð➡ä➌è❪ë❣é ❍ÿ ▲Ð❣Õ ❡Ð✗Ø✛ÏÑÐ✜Ò❿Ó❀Ô✐Õ❦Ð❡Ö✳Õ⑧×❾Ð❡Ð
✁
Ô♦Ð❣Ü Ò➜á✗Ø ❛Ù➡Ð Õ⑧×❾Ð❡Ð✂Ò ✗Ø❞Ü❑Ö✳Ú❅Ü ✛Ò ✮Õ Ô♦Ð❣×❾Ð✕Ò➜á✎Ð ✐Ø✈à❣Õ ☎Ú❅ÜPÐ✎Þ❀Ð❣×✚Õ❦Ð Ø❞Õ✶Ï▲Ô✐Ò❚à❡Ô➛Õ Ô♦Ð❣×❾Ð✗Ø❅×❾Ð
Õ⑧ÏÑÚ✛Ú❞× ✕Ú❞×❾Ð ✶Ð❣×✚×❾Ú❅Ü ❣×❾Ø❅ÜPà❛Ô➡Ð✚á ✓Ò➜á✮Ø ❛Ù➡Ð Õ⑥×❛Ð❛Ð✮Ò ✎Ø❅Ü❑Ö☛Ú❅Ü ✟Ò ✮Ø❅Õ❬Ð❡Ø✈à❡Ô Þ❅Ð❣×✚Õ❶Ð ☛Õ❍Ô➡Ð✜×❛Ð
Ò➜á✂Ø ❪Ü➃Ò ➡Ð ✶Ð❣×✚×❾Ú❅Ü ✜×❾Ø❞Ü❑à❡Ô Ú❅×❾Ð❡Ú❞Þ❀Ð❣×
þ ä❋ÿ õÒ➜á✣Ü❑Ú❅Õ✶Ø☛à❛Ô➡Ø❅×❾Ø➌à✜Õ❦Ð✜×✚Ò➜á✚Õ⑧Ò❚à✎Þ❀Ð❣×✚Õ❦Ð ✳Ú ÑÕ Ô♦Ð❣Ü Õ Ô♦Ð ❪Ü➡Ò ➡Ð ✶Ð✜×✚×❛Ú❅Ü ✜×❾Ø❞Ü❑à❡Ô Ú ➞Ø❞Õ
Ò➜á✘Õ❍Ô➡Ð ❣×❾Ø❞Ü❑à❡Ô✳Ï▲Ô✐Ò❚à❡Ô➛à❡Ú❅Ü➡Õ❦Ø❅Ò❍Ü➡á✘Õ❍Ô➡Ð✮à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✮Þ❅Ð✜×✚Õ❦Ð þ Ú❅×✣Þ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á❸ÿ✮Ú
þ ü❑ÿ ✣Ò➜á✂Õ Ô♦Ð✦à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✦Þ❀Ð❣×✚Õ❦Ð Ú ✎Ø ❛Ù➡Ð Õ⑥×❾Ð❡Ð ✡Õ Ô♦Ð❣Ü ✣Ò➜á✮Õ Ô♦Ð ❪Ü➃Ò ➡Ð✎Þ❅Ð❣×✚Õ❶Ð ✳Ï✾Ò❍Õ Ô
Õ⑧ÏÑÚ✟Ú❅× ✗Ú❅×❛Ð ✶Ð❣×✚×❾Ú❞Ü ❣×❾Ø❅ÜPà❛Ô➡Ð✚á
þ ì✒ÿ ✣Ø❅ÜPÖ ❲Ø❞×❾Ð✕à❛Ô➡Ø❅×❾Ø➌à✜Õ❦Ð❣×✚Ò➜á❡Õ⑧Ò❚à✕Þ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á✮Ú ✮Ø ❛Ù➡Ð Õ⑥×❛Ð❛Ð ÑÕ Ô♦Ð❣ÜçÕ Ô♦Ð ✶Ð❣×✚×❾Ú❞Ü ❣×❾Ø❅ÜPà❛Ô➛Ø❞Õ
✘à❛Ú❞Ü➡Õ❦Ø❅Ò❍Ü➡á qÏ▲Ô❪Ò ❼Ð✮Õ❍Ô➡Ð ✶Ð❣×✚×❾Ú❞Ü ❣×❾Ø❅ÜPà❛ÔçØ❅Õ çà❡Ú❞Ü➡Õ❦Ø❅Ò❍Ü♦á
♦é❛ò✈✆
û ☎✰ë ➡å➡â❿í❛â❼ò➌å ♦ú❋âêå✟ò✈é❡è❪ë✹éqù ò✈é óí❾ò✮ü➃ë✌ò❞ù ï➃ë ò✈é↕ò❞ù ï➃ë ä❞í↕âêå ➡å♦â❼í ú❋í❛ð♦ë❣é❛ë
û✂æ➃ã❴í✂ë ❪âêã❸í✮ä❞å÷ä✈ï♦ï♦é❛ò✈ï♦é❛â➜ä❅í❾ë✕ô❅ä æ♦ë ý
ã❾æ➡ì❡ð➛í❾ð➃ä❅í✮âêå þ ý
ÿ✚ú è❪ò✐ë✒ã✣å♦ò✈í✮ì❡ð➡ä❞å➡î✈ë
â❼í❛ã➅í ï❑ë✎å♦ò✈é✰â❿í❡ã✰ì❡ð➡ä✈é❛ä➌ì✚í❛ë❣é❛âêã❸í❾â➜ì✘ô✈ë✹é❸í❛âêì❣ë✹ã å☎í❛ð♦ë✮å➡ë ✐í➅í❛ð♦ë❣ò➌é❾ë✹û✩ö✡ë✮ã❾ð♦ò❅ö❃í❾ð➃ä❅í✘ã❸æ➡ì❡ð ä ý
ä ö➇ä ã✡ë ✐â➜ã❸í❛ã
✞✝
▲Ð✜Õ ❛Ð✮Ø✗Õ⑧×❾Ð❡Ð✣Ú ❣Õ❦Ø❅Ò❍Ü❑Ð❡Ö ❡×❾Ú ❣Ú❅Ò❍Ü➃Ò❍Ü❋Ó✟Õ⑥ÏÑÚ✕Õ⑧×❾Ð❡Ð✜á
✕Ø❞Ü❑Ö
Ø❅Ü❲Ð❡Ö❣Ó❋Ð✬ø☎Ú ✣ÏÑÐ❣Ò❿Ó❀Ô✐Õ ý Ô♦Ð❣ÜçÕ Ô♦Ð❣×❾Ð✕Ð ➌Ò➜á✚Õ⑥á✮Ø✦Ü ❡Ð❣× ý
á ➡à❡Ô☎Õ Ô♦Ø❞Õ➇Ò❍Ü þ❚ý
ÿ
Ö✈Ú✒Ð✜á✬ÜPÚ❅Õ✶à❛Ô➡Ø❅Ü✐Ó➌Ð✮Ò❍Õ⑥á✌Õ ❛Ù♦Ð✂Ü❑Ú❞×✘Ò❍Õ❚á✂à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✮Þ❅Ð✜×✚Õ❦Ð þ Þ❀Ð❣×✚Õ⑧Ò❚à❛Ð✜á❸ÿ
✡×❾Ú✒Ú ♠ë✜í
ä❞å➡è ë✜í ✟ü❑ë✮ä þ å♦ò❞í✌å♦ë✹ì❣ë✹ã❛ã❾ä✈é❾â æ♦å♦â ❋æ♦ë✒ÿ➅ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì✬ô➌ë❣é❾í❾ë ☛ò❞ù
✠✟
✐æ♦ï♦ï❑ò➌ã❾ë ➃é❛ã❸íÑí❛ð➡ä❅í➇ä❅í ❑ú ✄✎
✟ Ô♦Ø❀á✘Ø❅Õ ❼Ð❡Ø❅á❡Õ✾Õ⑧ÏÑÚ ✶Ð❣×✚×❾Ú❅Ü ❣×❾Ø❅ÜPà❛Ô➡Ð✚á✌Ï▲Ô✐Ò❚à❡Ô☎Ö✈Ú✎ÜPÚ❅ÕÑà❡Ú❅Ü➃Õ❶Ø❞Ò❍Ü
ø ➇ð♦ë✹å✳â❿ù
❇ú♦â❼í✶ù ò ò❅ö❬ã✡ù é❛ò✈û þ ✈ÿ➇ä✈å➡è✛ù é❾ò➌☛
û ✡↕ò✈é❛ò ä❞é
☞ þ ü➃ÿ↕ò✈ù
♠í❛ð➡ä❅í
þ ❋ÿ
✒✌
✌
✎✑✍ ✏
✓✑✍ ✔
ä✈é❾ë✘í❛ð♦ë✂ü❑ò❞í❾í ë❣å♦ë✒ì ✛û✗ä❞í❾é❛âêì❣ë✹ã✶ù ò➌é❬í❛ð♦ë✂ü♦é❡ä❞å➃ì❡ð✳ä❞í ✳ì✜ò➌å✗✖
ä❞å➡è
ö✶ð♦ë✹é❾ë
✕✍ ✏
✓✍ ✔
í❛ä✈â❼å➡â❼å♦î❲ø☎âêå ✟ ä❞å➃è ✠✘ é❛ë✹ã❾ï❑ë✹ì✚í❛â❼ô➌ë ➇ð♦ë❣é❛ë✜ù ò➌é❾ë➌ú✾ù ò✈é✗ä ✚✙ ▲ú✡ä❞í ë✹ä➌ã❴í✎í❴ö✡ò➛ò✈ù➅í❛ð♦ë
❂ë❣é❛é❛ò✈å✳ü♦é❡ä❞å➡ì❡ð♦ë✒ã➅ä❞í ☛â❼å ✟ ä❞é❛ë✣âêè♦ë❣å❋í❾â➜ì❣ä í❛ò✛ä❅í ë✒ä✈ã❸í➅í❴ö✡ò✦ò❞ù✾í❛ð♦ë ❂ë❣é❛é❾ò➌å☛ü➡é❛ä✈å➡ì❡ð♦ë✹ã✰ä❅í
âêå ✠✘ ➇ð❋æ➃ã ☛ð➡ä✈ã✰ä❅í ë✹ä➌ã❴í❬í❴ö✡ò ❂ë✹é❾é❛ò✈å☛ü♦é❡ä❞å➡ì❡ð♦ë✒ã✶âêå ✠✘✮û✗ä ❋âêå♦î ✠✘✕ä ï❑ë í❛é❾ë✹ë✣ö✶â❿í❛ð
ì❡ð➡ä✈é❛ä➌ì✚í❾ë✹é❾â➜ã❸í❾â➜ì➅ô➌ë❣é❾í❾ë ✦ù ò✈é❬ä ✛✙
✐æ♦ï➡ï➃ò❋ã❸ë✡å♦ò❅öõí❾ð➃ä❅í✾ä❅í ➃ú ✟ Ô♦Ø❀á❬Ú❅Ü ✂Ú❅ÜPÐ ✶Ð❣×✚×❾Ú❅Ü ✜×❾Ø❞Ü❑à❡Ô✎Ï▲Ô✐Ò❚à❡Ô✛Ö✈Ú✒Ð✚á➇Ü❑Ú❞Õ▲à❡Ú❅Ü➡Õ❦Ø❅Ò❍Ü✬ø ➇ð➡ë❣å
ü þ ❋ÿ✚ú ð➡ä✈ã✬ò➌å ò✈å♦ë ❂ë✹é❾é❛ò✈å ü➡é❛ä✈å➡ì❡ðçâêå ✄✘✟â❿ù
♠ë✜✢í ✜ ü➃ë✕í❛ð♦ë✦ã❸ë❣í✣ò❞ù✡ô✈ë❣é❾í❾â➜ì✜ë✒ã
ã❾æ➡ì❡ð☛í❾ð➡ä❞í ✣✜ â❼ùqä❞å➡è✳ò➌å â❿ù➅Ø❞Ü ✘ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✌ô➌ë❣é❾í❾ë ☛ò❞ù â➜ã❬ò✈å☛í❛ð♦ë✣ï➡ä❞í❾ð✳ù é❛ò✈û
í❾ò✛ø ❬❰✰ã✶í❛ð♦ë✂ö✡ë❣âêî✈ð❋í ý ò✈ù✾ø✮â➜ã❬âêå➡ì✜é❛ë✹ä➌ã❸ë✒è❱ú♦í❛ð♦ë✮ã❾ï➃ë✒ì✚í❛é❛ä é❛ä➌è❪âêâ❇ò❞ù❂í❛ð♦ë✂ü❑ò❞í❾í ë❣å♦ë✒ì ✛û✗ä❅í❛é❾â➜ì✜ë✒ã
ä❅í✘ä ô✈ë✹é❸í❛âêì❣ë✹ã ✤✜ ù ò➌é✌í❾ð♦ë✕ü♦é❡ä❞å➡ì❡ðçì✜ò✈å❋í❡ä❞âêå♦â❼å➡î✛ø✗è❪ë✒ì✜é❛ë✹ä✈ã❾ë ❪â❼å➡ì❣ë✂í❛ð♦ë✗ã❸ï❑ë✹ì✜í❾é❡ä é❡ä✈è❪âêâ
ò❞ùÑí❾ð♦ë✎ü➃ò✈í❸í ë✹å♦ë✹ì ☎û✗ä❅í❛é❾â➜ì✜ë✒ã✰ä❞í✌ä ô✈ë✹é❸í❛âêì❣ë✹ã ✥✜ ù ò✈é✌ü♦é❡ä❞å➡ì❡ð➡ë✹ã✰å♦ò❞í✘ì✜ò➌å➌í❡ä❞âêå♦âêå♦î✟ø þ ä✈å➡è
➉
✁
ò
❴
❦✠
➢Ü❯☛
Ùôó Þ
✉Ùôó Þ
✏❴
✁✂✁
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ELA
♠● ⑤❀❤q♣❡⑩④③✚❤❴✉❀⑦❶♣❡②④❷✾❷❴①✚r❀r❀❤❴❷❦❥⑥② ❹✒② ❥❍➂✌①❡➆❪❥❍✇❱①✡❥⑥⑦⑧❤❴❤❴⑨❉❷❴①✚r❀r❀❤❴❷❦❥⑧❤❴s✘✉✜➂✰♣❡r✌❤❴s❀③✚❤q①❡➆♦②④r ❅r❀② ❥⑥❤❂✇❱❤❴②④③✚⑤✜❥
ð♦ë✹å➡ì✜ë✕å♦ò✈í✘ì❣ò✈å❋í❛ä✈â❼å➡â❼å♦î☎ä☛ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✮ô✈ë✹é❸í❛ë ò✈ù ❉ÿ✌é❛ë❣û✗ä✈â❼å➛ì✜ò✈å➃ã❴í❡ä❞å❋í✣ä✈ã ý â❼å➡ì❣é❾ë✒ä✈ã❾ë✹ã✹ú
ä❞å➃èçã❾â❼å➃ì✜ë✕â❼å ➉í❾ð➡ë✗æ♦å♦â ➌æ➡ë ❂ë✹é❾é❛ò✈åçü♦é❡ä❞å➡ì❡ð➛ä❅í✟Ø❅Ü ☎Ü❑Ú❅★Ü ✧❋à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à✣ô✈ë✹é❸í❛ë ✩✜
ì✜ò➌å❋í❛ä❞âêå➡ã✕äõì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✟ô✈ë✹é❸í❛ë ÷ò❞ù
❑ú
þ ã❾ë❣ë ➇ð♦ë✹ò✈é❛ë❣û ✦ ÿ✜úÑâ❼í✗ù ò ò❅ö❬ã✮í❛ð➡ä❅í✗â❼ù
í❾ð➡ë✟ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✮ô✈ë✹é❸í❛ë þ ò✈é✂ô✈ë❣é❾í❾â➜ì✜ë✒ã❛ÿ✰ò✈ù âêë✦â❼✤
å ✜ ➇ð✐æ➡ã✣â❼ù
☎í❛ð♦ë❣✤
å ✜ ✫✪ ✜
➇ð♦ë✹é❾ë❣ù ò✈é❛ë✰ä✈ã ý â❼å➃ì✜é❛ë✹ä✈ã❾ë✹ã↕ü❑ë ò➌å➡è ❇ú✐í❾ð➡ë✬ì❡ð➃ä❞é❡ä✈ì✚í❛ë❣é❛âêã❸í❾â➜ì✶ô➌ë❣é❾í❾ë þ ò✈é➇ô✈ë✹é❸í❛âêì❣ë✹ã❡ÿqò✈ù õû✕ò❅ô✈ë
ù é❛ò✈û ✗ä❀ö✡ä ù é❾ò➌û✴ø ❪â❼å➡ì❣ë❬ù ò➌é✡ë✒ä✈ì❡ð ý í❾ð♦ë✹é❾ë✬ä❞é❛ë❬ò➌å ä ➡å♦â❼í❾ë✌å✐æ♦û✂ü❑ë❣é➇ò❞ù▲ô✈ë❣é❾í❾â➜ì✜ë✒ãqâê✬
å ✜
ä❞å➃è ã❾â❼å➡ì❣ë✭✜ ✮✪ ✜ ✦â❿ù
➃ú❇â❿í✬ù ò ò❅ö❬ã❬í❛ð➡ä❅í✬ù ò✈é✘ã❾ò✈û✕ë ý ä❞é❛î✈ë✮ë❣å♦ò➌æ♦î✈ð♠✯ú ✜ óö✶â ë ❋æ➡ä
✜ ✱✰✌ù ò✈é❬ä
ý ý ✳❬✲ ë✹å➡ì✜ë✘ü è❪ë ➡å➡â❿í❛â❼ò➌å☎ò❞✴ù ✜ ✡ú❪í❾ð♦ë✮ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì✰ô✈ë✹é❸í❛ë þ ò✈é❬ô➌ë❣é❾í❾â➜ì✜ë✹ã❡ÿ
ö✶â å➡ò❞í❬ì❡ð➡ä❞å➡î✈ë✘ä✈ã ý â➜ã✶â❼å➃ì✜é❛ë✹ä✈ã❾ë✹è✟ü➃ë ò➌å➡è ý
✵ ë✜ù ò➌é❾ë✕ö✡ë✦ì✜ò✈å❋í❛â❼å✐æ♦ë
ë✜í✂æ➃ã✘û✕ë❣å❋í❾âêò✈å➛í❾ð➃ä❅í✂âêå ➇ð♦ë❣ò➌é❾ë✹û ✶☞❪ú ý ì❣ä✈å♦å♦ò❞í✒ú▲âêåõî✈ë✹å♦ë❣é❡ä ú
ü❑ë✮í❡ä ➌ë❣å í❛ò✛ü❑ë ➡ò✈é✬ë ♦ä✈û✎ï ë➌ú ë❣í ✣ü➃ë✗ä✛ï➡ä❅í❛ðçò➌å ✛ô✈ë✹é❸í❛âêì❣ë✹ã✌ä❞å➡è ✎ü❑ë✗ä✟ï➡ä❞í❾ðçò✈å
✗ô➌ë❣é❾í❾â➜ì✜ë✒ã✰ä✈å➡è ì✜ò➌å➡ã❾âêè❪ë✹é ú ý
ú❑í❾ò✟ü❑ë✮í❾ð♦ë✗ì✜ò➌å♦å♦ë✒ì✚í❾âêò✈å ò❞ù ✣ä✈å➡è ✂í❾ð♦é❛ò✈æ♦î➌ð☎í❾ð➡ë❣âêé
ï❑ë❣å➡è♦ä✈å❋í❬ô✈ë❣é❾í❾â➜ì✜ë✒ã➇ä✈ã✡ù ò ò❅ö❬ã
✦
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✁
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✁
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❘❺➘■
➾❺➁▲
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w
1
2
3
4
5
➇ð♦ë✹å õâ➜ã✶ä ï❑ë í❛é❾ë✹ë✬ö✶â❿í❛ð ✕ä✈å➡è ✦ ä➌ã➇â❿í❡ã✶ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì➅ô✈ë❣é❾í❾â➜ì✜ë✒ã➇ö✶ð♦ë❣å ý þ ÿ
â➜ã✰ä ï❑ë í❾é❛ë❣ë✮ö✶â❿í❛ð ✦ä➌ã➅â❼í❛ã✌ì❡ð➡ä✈é❛ä➌ì✚í❾ë✹é❾â➜ã❸í❾â➜ì✬ô✈ë❣é❾í❾ë ❱ú➃ö✶ð♦â ë✂âêå þ ÿ✚ú Ûâ➜ã✰ä ï❑ë
í❾é❛ë❣ë✬ö✶â❼í❾ð ✕ä❞å➃è ✕ä✈ã➇â❼í❛ã➅ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì➅ô✈ë❣é❾í❾â➜ì✜ë✒ã
å✳ò✈æ♦é✶ö✡ò✈é ✗ð♦ë✹é❾ë✬ö✡ë✬ã❾ð➡ä å♦ë✹ë✹è✛í❾ð➡ë✬ù ò ò❅ö✶âêå♦î✕é❾ë✒ã❸æ í
✸✷
þ â❼é ä✈å➡è❱ú✹✂❬ë✹æ♦û✗ä❞å♦å❇ú➡ä❞å➡è ✐ð➡ä➌è❪ë❣é ÿ ▲Ð❣Õ ❡Ð✎Ø✗ÏÑÐ❣Ò❿Ó✒Ô❪Õ❶Ð❡Ö✟Õ⑥×❾Ð❡Ð
✁
äþ ❋ÿ ✪Ò➜á✎Ø ❛Ù♦Ð Õ⑧×❾Ð❡Ð✮Ï✾Ò❍Õ❍Ôõà❡Ô♦Ø❞×❾Ø✈à❣Õ❦Ð✜×✚Ò➜á✚Õ⑧Ò❚à✕Þ❀Ð❣×✚Õ❦Ð ✡Õ Ô♦Ð❣ÜçÕ Ô♦Ð✗Ø Ó❋Ð ❣×❾Ø❅Ò❚à✛à❡Ú❅Ü➡ÜPÐ❡à✜Õ⑧Ò❍Þ✹Ò❍Õ
Ú Ò➜á ✑✺ ✌Pþ ÿ ÑÏ▲Ô♦Ð❣×❾Ð
Ò➜á✘Õ❍Ô➡Ð ❡Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à ✗Ø❅Õ⑧×✚Ò ☛Ø❞ÕÑÞ❅Ð✜×✚Õ❦Ð
üþ ❑ÿ
Ò➜á➇Ø ❛Ù♦Ð Õ⑥×❛Ð❛Ð✶Ï✾Ò❍Õ❍Ô✕à❡Ô♦Ø❞×❾Ø✈à❣Õ❶Ð❣×✚Ò➜á✚Õ⑥Ò❚à➅Þ❅Ð✜×✚Õ⑧Ò❚à❡Ð✚á ↕Ø❅ÜPÖ ❣Ú❅Ò❍ÜPÐ❡Ö ✬Ø❞Ü✟Ð❛Ö✹Ó➌Ð➅Ú ✡ÏÑÐ✜Ò❿Ó❀Ô✐Õ
✻ ❇Õ Ô♦Ð❣Ü✦Õ Ô♦Ð❣×❾Ð➅Ð ➌Ò➜á✚Õ❚á
á ➡à❛Ô✗Õ❍Ô➡Ø❅Õ ✌❑þ
ÿ ✿♠ÿ ✌Pþ
✽✼
✾þ ✼ ✺ ✻ ✕
þ❾þ ✼ ÿ ✺ ✻ ✕ÿ ✿❇ÿ ❇Ï▲Ô➡Ð✜×❾Ð
Ò➜á✌Õ❍Ô➡Ð ❡Ú❅Õ⑧Õ ❼Ð❣Ü❑Ð❡à ✗Ø❅Õ⑧×✚Ò ✜Ú❅×✬Õ Ô♦Ð ❣×❾Ø❞Ü❑à❡Ô☎Ø❅Õ à❛Ú❞Ü➡Õ❦Ø❅Ò❍Ü➃Ò❍Ü❋Ó qØ❅ÜPÖ
Ò➜á✌Õ Ô♦Ð ❛Ú❞Õ⑥Õ ❼Ð❣Ü❑Ð❡à
✗Ø❅Õ⑧×✚Ò ✜Ú❅×✣Õ Ô♦Ð ❣×❾Ø❅ÜPà❛Ô➛Ø❅Õ ✂à❡Ú❅Ü➃Õ❶Ø❞Ò❍Ü➡Ò❍Ü❋Ó
Ú❞×❾Ð❡Ú❅Þ❅Ð✜× ➇Õ❍Ô➡Ð✕Ø Ó❋Ð ❣×❾Ø❞Ò❚à✦à❡Ú❅Ü➡ÜPÐ❡à✜Õ⑧Ò❍Þ✹Ò❍Õ ✛Ú ✓Ò➜á
✑✺ ✌❑þ
ÿ ✿❇ÿ þ Ï▲Ô✐Ò❚à❡Ô➛Ð ➡Ø ④á ✑✺ ✌Pþ
❀þ ✼ ✺ ✻ ✓
þ❾þ ✼ ÿ ✺ ✻ ✕ÿ ✿♠ÿ❾ÿ
✐âêå➡ì✜ë✂í❾ð♦ë✎û✗ä❞âêå☎í❾ð➡ë❣ò✈é❛ë❣û✸ò✈ù✾í❾ð♦â➜ã✌ï➡ä❞ï❑ë❣é✬ì✜ò➌å➡ì✜ë✹é❾å➡ã❬í❾ð♦ë✎ä î✈ë✹ü♦é❛ä✈âêì✂ì✜ò✈å➡å♦ë✹ì✜í❾âêô❋â❼í ò❞ùqí❛ð♦ë
í❾é❛ë❣ë
☛ú❱â❿í✬âêã✌âêû✕ï➃ò➌é❸í❡ä❞å❋í➅í❛ò✛ë ä✈ü➃ò➌é❛ä❞í❾ë✣ò➌å ð♦ò❅ö qþ ✰ÿ❬â➜ã✬ì✜ò➌û✎ï➡æ❪í❾ë✒è ✐æ♦ï♦ï❑ò➌ã❾ë ➃é❛ã❸í
í❾ð➃ä❅í ☛â➜ã❇ä✶í❛é❾ë✹ëÑò✈ù ï➃ë ö✶â❿í❛ð✮ì❡ð➡ä✈é❛ä➌ì✚í❛ë❣é❛âêã❸í❾â➜ì❂ô✈ë✹é❸í❛ë ➅ù ò➌é▲ä ý þ❚ý
ÿ ➇ð♦ë✹å✘ù ò✈é❉ä
ÿ✡è❪ë✹ì❣é❾ë✒ä✈ã❾ë✹ã
✜
ÿ
ú
✕
➡
ð
✈
ä
➇
ã
❅
ä
í
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ä✈ã ý âêå➡ì✜é❛ë✹ä➌ã❸ë✒ã❣ú✐â❼í✶ù ò ò❅ö❬ã✡í❛ð➡ä❅í➅ø✣âêã✶å➡ò❞í✶ò✈å☎ä ❂ë❣é❛é❾ò➌å✦ü♦é❡ä❞å➡ì❡ð✳ä❅í ✦âêå ➇ð♦ë❣é❛ë✜ù ò➌é❾ë
ÿ
ý þý
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➙➜➛①⑨▼⑤⑦③➁⑨❶⑩
✶❶❢ ♦ ❞✄
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õ➷✗ ö
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❿ ✄❘✆
♦
➄ ❺ ❿ ➅
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✌✴➄ Ù
✐æ♦ï➡ï➃ò❋ã❸ë✛å♦ë ✐í✎í❾ð➡ä❞í
âêã✎ò❞ù ï➃ë
ÿ
❂
ù
ø
❴
✈
ò
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❭× ❢ ✃
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❿ ➅ý✑
➄ ❺➍
❬
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❩
Ø ✗✎ö❂✍ ❁
❂➧❂
× ❢ ✃
❽
❤❖
➅
ö✶â❼í❾ð➉ì❡ð➡ä❞é❡ä✈ì✜í❾ë✹é❾â➜ã❴í❛âêì✕ô➌ë❣é❾í❾â➜ì✜ë✒ã ✘ä❞å➃è
✹✬
ù ò✈é✕ä
✻✰
✁✤✁
✏✰
❿ ➀⑦➅ý✑
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✁
➀①➂✹➃
✌
♦
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ó ✕
Û
✙➏õ➷✗✕ö✑✍ ❁
♦
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❁
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✿①➅
✌
➄ Ù
ó ✕
✙➏õ➷✗✕ö ✍
Û
➅
ö✶ð♦ë✹é❾ë ✩✼
ä✈ì✹ì✜ò➌é❛è❪âêå♦î✎í❾ò ➇ð♦ë✹ò✈é❛ë❣û ❄ í➅ã❸ð➡ò✈æ è✟ü❑ë✣å♦ò✈í❾ë✒è✦í❛ð➡ä❅í❬â❼ù â➜ã➇ò❞ù ï❑ë
ä❞å➃è✟ü❑ò❞í❛ð☛â❼í❛ã➅ì❡ð➡ä❞é❡ä✈ì✜í❾ë❣é❛â➜ã❴í❛âêì✰ô✈ë✹é❸í❛âêì❣ë✹ã Ñä❞å➃è ✦ä❞é❛ë✌âêå➡ì❣âêè❪ë✹å❋í✶í❾ò✗ø❋ú❪í❾ð♦ë✹å✳â❿í❬â➜ã➇ï➃ò❋ã❾ã❾âêü ë✌ù ò➌é
✶
❂➧❂
➚
➀
➚
♦
♦ ✄ ▼✄
✏✆
✳✬
✴✰
❂
✁
❺ ❿
↕✆
✁
❩
ELA
☞
❀✻ ❄❅❆✬①✚⑩④② ❥⑥②④❤❴⑦⑧r❀①✡♣❡r❀s✬❆✎❄❀❁▲❤❴➏❀➐❬♣❡r❀r
qä❞