Fully Dynamic Output Bounded Single Sour

✂✁✂✄☎✄✝✆✟✞✠✆☛✡✌☞✎✍✑✏☎✒✔✓✕✁✗✖✙✘✌✁✗✖✕✚✜✛✎✁✂✡✂✢☛✣✤✢✦✥✧✏★✡☛✩✪✄★✣✔✥✧✛✫✁☛✬✙✒✭✣✮✥✧✯✂✛✎✬✰✖✙✣✤✱✲✖✴✳✵☞✶✖✷✯✟✳✸✬✙✛✎✹✌✄★✣✺✍✼✻
✽✿✾❁❀✤❂❄❃❆❅❇❃✿❈❊❉❋❂❇●❍❂❄■❍❀✤❂❑❏❑▲

▼◆❅❄❖✶❃❆❉◗P❘■❚❙✕✾❁❉❱❯❳❲❨❃❩P❱P❘❂❭❬◗❪✺❫❊✾✷❯❆❯✲✾✷❴❵❃❩❅❑✾❍▲
❡✝❢☛❣ P❋❃❆❀❨❤❨❃❩❤✕▼◆❖❨✐❱P❋❉❘✾❁❯❥P❧❦

♠ ♥❨♣◗q❱r❳s✉t❧q

✈❞✇☛①③②❋④❩⑤⑦⑥⑨⑧❩✇☎⑩❷❶❹❸❆✇☛❺❥⑩❹②❋❻❩❼⑨✇☎❽❾②❱❿➀❽✌➁❱⑥➂④❳❶✝➁❱⑥➂④❩⑥⑨④❩➃➄❶❹❸❩✇✌⑧❩⑥➂⑤❑❶✝➁❱④❩①③✇③⑤❷➁❱④❆⑧
❶❹❸❩✇✗⑤⑦❸❆②◗⑩⑦❶❹✇③⑤❑❶✪❺❆➁◗❶❹❸❆⑤➅❿➆⑩❹②❋❽✮➁➇⑤⑦⑥➂④❆➃❱❼➂✇☛⑤⑦②❋➈❥⑩❹①③✇☛⑥➂④♦✇③⑥➉❶❹❸❆✇☎⑩❷➁➇⑧❩⑥➉⑩❹✇③①☎❶❹✇③⑧
②◗⑩➊➁❱④➋➈❆④✲⑧❥⑥➉⑩❹✇③①☎❶❹✇➌⑧✠➃❱⑩✝➁◗❺❆❸✠➍➀⑥➂❶❹❸➎❺✰②❋⑤⑦⑥➉❶❹⑥➂➏❘✇✸⑩❹✇➌➁◗❼✌✇➌⑧❩➃❱✇✸➍❨✇③⑥➂➃❱❸❧❶❹⑤③➐
❸❆➁❱④✲⑧❥❼➂⑥⑨④❩➃❜⑥➂④❆⑤⑦✇☎⑩⑦❶❹⑥➂②❱④❆⑤③➐✂⑧❥✇③❼➂✇☎❶❹⑥➂②❋④❩⑤◆➁◗④✲⑧➑①☎②❋⑤❑❶◆➈❆❺✉⑧❆➁➒❶❹✇③⑤♦②❱❿✌✇➌⑧❥➃❋✇③⑤③➓
✈❞✇➔❺❥⑩❹②❋❺✰②❱⑤⑦✇◆❿→➈❩❼➂❼➂➣❜⑧❥➣❥④✲➁◗❽✂⑥➂①◆➁◗❼➂➃❋②❱⑩❹⑥➉❶❹❸❩❽✂⑤➄➍➀⑥➉❶❹❸✜②❋❺❩❶❹⑥➂❽✌➁◗❼✎⑤⑦❺✲➁◗①③✇
⑩❹✇➌↔❳➈❩⑥➂⑩❹✇☎❽✂✇③④❳❶❹⑤↕➁❱④✲⑧✧↔❳➈❆✇☎⑩⑦➣➙❶❹⑥➂❽✂✇❋➓➜➛❨❸❩✇➀①③②❋⑤❑❶✭②❱❿✉➈❩❺✉⑧❆➁➒❶❹✇❊②❋❺✰✇☎⑩✝➁➒❶❹⑥⑨②❱④❆⑤
⑧❥✇③❺✰✇③④✲⑧❥⑤✌②❋④✸❶❹❸❩✇➔①☎❼➝➁◗⑤⑦⑤➄②◗❿➙❶❹❸❆✇➞①③②❱④❆⑤⑦⑥⑨⑧❩✇☎⑩❹✇③⑧❜➃❱⑩✝➁❱❺❩❸✜➁❱④❆⑧✸②❋④✸❶❹❸❩✇
④❧➈❆❽✧❻✰✇☎⑩❨②◗❿❍➏❘✇★⑩⑦❶❹⑥⑨①☎✇③⑤❨❶❹❸✲➁➒❶➌➐❆⑧❥➈❆✇✎❶❹②✗➁❱④➇✇➌⑧❩➃❱✇✫❽✂②❧⑧❩⑥➉➟❆①➌➁◗❶❹⑥➂②❋④✙➐❆✇☎⑥➂❶❹❸❩✇☎⑩
①✝❸✲➁◗④❆➃❋✇❊❶❹❸❩✇③⑥➉⑩❨⑧❥⑥⑨⑤❑❶✝➁◗④❆①③✇➀❿➆⑩❹②❱❽➋❶❹❸❩✇➀⑤⑦②❋➈❩⑩❹①☎✇✶②◗⑩❨①✝❸✲➁◗④❆➃❋✇❊❶❹❸❩✇③⑥➉⑩✤❺❆➁◗⑩❹✇③④❳❶
⑥➂④✕❶❹❸❩✇➠⑤⑦❸❆②❱⑩⑦❶❹✇☎⑤❑❶✸❺❆➁◗❶❹❸✕❶⑦⑩❹✇③✇❱➓➢➡❄④➎❶❹❸❆✇➠①➌➁◗⑤⑦✇❵②◗❿♦➃❱⑩✝➁❱❺❩❸❆⑤➤➍➀⑥➉❶❹❸
❻✰②❱➈❆④✲⑧❥✇➌⑧➥➃❋✇☎④❥➈❩⑤➧➦➨⑥➂④❆①☎❼⑨➈❆⑧❩⑥➂④❆➃➔❺❆❼⑨➁◗④✲➁◗⑩✗➃❱⑩✝➁◗❺❆❸❆⑤✝➩★➐✺❻✰②❋➈❩④✲⑧❥✇➌⑧✿⑧❩✇③➃◗⑩❹✇③✇
➃◗⑩✝➁❱❺❆❸❩⑤③➐❘❻✰②❱➈❆④✲⑧❥✇➌⑧❷❶⑦⑩❹✇☎✇☎➍➀⑥⑨⑧❥❶❹❸✗➃◗⑩✝➁❱❺❩❸❆⑤✭➁❱④❆⑧❷➫✙➭❇④❩✇➌➁◗⑩⑦➭➯❺❩❼➝➁◗④✲➁➒⑩↕➃❱⑩✝➁❱❺❩❸❆⑤
➍➀⑥➉❶❹❸➑❻✰②❱➈❆④❆⑧❩✇➌⑧➠➫✺➐✪❶❹❸❩✇➥➈❆❺✉⑧❩➁◗❶❹✇◆❺❩⑩❹②❳①③✇➌⑧❥➈❩⑩❹✇③⑤➲⑩❹✇③↔❧➈❩⑥➉⑩❹✇✿➳☛➦➨❼➂②❋➃❨➵✷➩

➁◗❽✂②❱⑩⑦❶❹⑥➂➸③✇➌⑧➧❶❹⑥➂❽✂✇➙❺✰✇☎⑩✫➏❋✇☎⑩⑦❶❹✇☎➺➄➈❆❺✉⑧❆➁➒❶❹✇❋➐✲➍➀❸❩⑥⑨❼➂✇❷❿→②❱⑩✎➃❋✇③④❩✇☎⑩✝➁❱❼❁➃❱⑩✝➁❱❺❩❸❆⑤
➍➀⑥➉❶❹❸➻➵➼➏❘✇★⑩⑦❶❹⑥⑨①☎✇③⑤❜➁◗④✲⑧➾➽➚✇➌⑧❥➃❋✇③⑤➊❶❹❸❆✇☎➣➎⑩❹✇➌↔❳➈❆⑥➉⑩❹✇❚➳☛➦❇➪ ➽✜❼⑨②❱➃✤➵✷➩
➁◗❽✂②❱⑩⑦❶❹⑥➂➸③✇➌⑧➤❶❹⑥⑨❽✂✇➧❺✰✇☎⑩➇➏❘✇☎⑩⑦❶❹✇☎➺➤➈❩❺✉⑧❆➁◗❶❹✇❱➓❚➛❨❸❆✇➲⑤⑦②❱❼⑨➈❥❶❹⑥➂②❋④➠⑥➂⑤✌❻✲➁❱⑤⑦✇③⑧
②❱④✿➁➞⑧❥➣❥④✲➁◗❽✂⑥➂➸➌➁◗❶❹⑥➂②❋④◆②❱❿➀➶✫⑥ ➹❄➘❥⑤❑❶⑦⑩✝➁❧➴ ⑤✗➁◗❼⑨➃❱②❱⑩❹⑥➉❶❹❸❆❽➬➷ ➮◗➱❨➁❱④✲⑧➔⑩❹✇➌↔❳➈❆⑥➉⑩❹✇③⑤
⑤⑦⑥➂❽✂❺❆❼➂✇✧⑧❆➁➒❶✝➁➇⑤❑❶⑦⑩❹➈❩①☎❶❹➈❩⑩❹✇③⑤✶❶❹❸✲➁➒❶✪➁◗⑩❹✇✧⑤⑦➈❆⑥➉❶✝➁❱❻❩❼➂✇✧❿→②◗⑩❷➁➇❺❥⑩✝➁❱①☎❶❹⑥➂①➌➁◗❼↕➁❱④❆⑧
⑤❑❶⑦⑩✝➁◗⑥⑨➃❱❸❳❶⑦❿→②❱⑩⑦➍❨➁◗⑩✝⑧➞⑥➂❽✂❺❆❼➂✇③❽✂✇③④❳❶✝➁➒❶❹⑥⑨②❱④✷➓
✃ ❐◗❒ q◗r❳❮↕❰✤Ï✺t❥q❱Ð➯❮ ❒
Ñ✤Ò➝Ó✙Ô✉Ò➝Ó✉Õ➾Ö★×✉Ø❥Ù★Ú★Û❋Ö❹Ú✸Ü✙Ý❳Ú☎×✙Ö✸Ò➆Ö✸Ý✠Þ❭ß✙Ó✙Ô✉Ý❧à➲Û❱Ó❩Ú③Ý❧á➧Ü✉Ù☎Ø❥â✉á➆Û◗à➚Ò➆Ó
ã Ø❩à➧Ü✙ß✰Ú★Û❱Ù❚Ö ã Ò➝Û❱Ó ã Û❩ä◆Ý❥Ó✙Ô➼Ò⑨Ú③Ö❚Ö★Ø❥á➆ß✰Ú★Ò➆Ø❥Ó✮Ü✉Ù☎Ø❳å✲Ò➆Ô✰Û❋Ö✜Ý❧Ó✷Ö✝æ✎Û◗Ù③Ö
Ú★Ø✴Ø❥Ú★×✉Û❱Ù✿Ò➝Ó❆Ú★Û❱Ù★Û❋Ö❹Ú☎Ò➝Ó✙Õ➑Ü✙Ù★Ø❩â✉á➝Û❱à➞Ö✿Ý❥Ö✿æ✎Û◗á➆á❇çéè✫×✙Û✜Ô✰ê✲Ó✙Ý❧à➲Ò ã
å❥Û❱Ù☎Ö★Ò➝Ø❩Ó➠Ø❧Þ❷Ý✵Ö✝×✉Ø❩Ù✝Ú☎Û❱Ö✝Ú➄Ü✙Ý❧Ú★×✜Ü✙Ù★Ø❩â✉á➝Û❱à ã Ø❥Ó✷Ö✝Ò→Ö❹Ú③Ö➇Ò➆Ó❵Ô✉Û❱Ý❧á➆Ò➆Ó✉Õ
æ✪Ò⑨Ú☎×ëß✙Ü❁Ô✉Ý❧Ú★Û❋Ö✴Ø❥ÓìÚ★×✉ÛíÖ✝Ú★Ù☎ß ã Ú☎ß✉Ù★Û➾Ø❥Þ➊Ú★×✙Û✕Õ❩Ù☎Ý❥Ü✉×↕ä✿æ✪×✉Ò➆á➆Û
à➞Ý❧Ò➆Ó❩Ú③Ý❧Ò➆Ó✉Ò➆Ó✉Õ✪Ú★×✙Û✶Ü❁Ø❩Ö☎Ö✝Ò➆â✉Ò➆á➝Ò➝Ú❹ê✗Ú★Ø❷Ý❥Ó✙Ö✝æ✎Û◗Ù✺î❩ß✙Û◗Ù☎Ò➝Û❋Ö↕Ø❥Ó➄Ö✝×✉Ø❩Ù✝Ú☎Û❱Ö✝Ú
Ü✙Ý❳Ú☎×✙Ö➅æ✪Ò⑨Ú☎×✉Ø❥ß✰Ú✫Ù☎Û ã Ø❩à➲Ü✉ß✰Ú★Ò➆Ó✉Õ✂Ú☎×✉Û◗à✮Þ❭Ù☎Ø❥à❾Ö ã Ù③Ý❳Ú ã ×↕ç✺ï➀Ý❥Ù★Ò➆Ø❥ß✷Ö
Ý❧Ü✉Ü✙Ù★Ø❆Ý ã ×✉Û❋Ö➇×✙Ý❘å❩Û◆â❁Û◗Û❱Ó ã Ø❥Ó✷Ö✝Ò→Ô✰Û◗Ù☎Û❱Ô❵Ò➆Ó❵á➆Ò⑨Ú☎Û◗Ù③Ý❳Ú☎ß✉Ù★Û❞Ú☎Ø❜Ô✉Û❱Ý❧á
æ✪Ò⑨Ú☎×❵Ô✰ê✲Ó✙Ý❥à➲Ò ã Ö✝×✙Ø❥Ù★Ú★Û❱Ö✝Ú➄Ü✷Ý❳Ú★×❚Ü✉Ù★Ø❩â✉á➆Û◗à➞Ö➇â❁Ø❧Ú☎×✜Þ❭Ø❩Ù◆ð➌ñ➨ò✲ó❧ô➝õ◗ö
ð◗÷❳ø✰ù★ú③õ✪Ý❥Ó✙Ô✸û❧ô➨ô➂ö➆ü✙û❳ñ➨ù③ð✪å❥Û❱Ù☎Ö★Ò➝Ø❩Ó✙Ö❱ç
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✒☞✗✻✟✡✂☞✼✾✽✿✩❀✂☞✡❁☞✗✙✼✺☛✲❂❃✰❄✤✭❅❇❆❈✹✯✬✯✮✁✔✕✳✕✘✕✗✙✂✲✼✙✄✳❉☛✆✂✆✟✡✼✙☛❄✳❊✕❋ ●✄❍✄●✡■✄■✕❏❉✟✡✳✕✘✿✚✜✑▲❑★▼❖◆✥P
◗❙❘✿❚❯❚✥◆✞❱❄❲☞❳❃❨❬❩✲❲✺❭✲❭✖❨❪❚✥◆❫❚❴▼❯❨❬❵✕❑✿◆❀▼❇❚❛❲▲❜❬✡❝✲☛✆✽❊✗❇✬❞☛✾✟✡✎✏✌✍✟✡✳❢❡❬✟❣☛☞✌✏✄✳✠✟✡✎
✫✭✗✙✒✆✗❤✟✡✂✆✼✾✽✐✤★✄✔✕✳✕✼✙✌✏✎❞❋
❥❤❦ ✳✕✌ ❧❉✗✙✂☞✒✆✌ ☛❣✟✞♠ ✘✕✌✿✰❀♥ ❂❃♦✪✔❊✌✏✎✍✟❊❏❖♣❬✌✏✝✠✟✡✂☞☛☞✌✏✷q✗✙✳✜☛☞✵✘✕✌r❆s✟❣☛✆✗✙✷t✟❣☛☞✌✏✼✻✟✵✩❀✔❊✂✾✟
✗✙✘✉❂❬✝❊✝✕✎✏✌✏✼❤✟❣☛✾✟❊❏✈❧❊✌✍✟①✇❙✗✺☛✆✄✌✏✕❏②✬④③✪⑤❉⑥✡❍❊⑦❤❍⑧✤★✄✝✕✝❊✌ ☛✆✉⑨⑩❂❬❶▲❷✾❏❸✬❞☛✾✟✡✎ ✑❉❋
❹✄❺✕❻✙➊ ❼✕❻✻❽✻❾✠❻❤❿✜➀✾➁✕➂✡➃❉➄✄➅✶➆④➇✄❾✠❻✙➈❉➂✡➃❄➆✾❻✙➉
♣❬✌✏✝✠✟✡✂➋☛✆✌✏✷q✗✙✳❉☛✆➌✘✕✌❪✬✯✳❊❝⑩✄✂✆✷t✟❣☛☞✌✏✼✻✟✛✗➍✧✪✌✏✒☞☛☞✗✙✷q✌✏✒☞☛☞✌✏✼✻✟❊❏ ❦ ✳✕✌ ❧❉✗✙✂✆✒☞✌ ☛✡✟➌
♠ ✘✕✌
✫✭✄✷t✟➍➎✆✰✶✟✵✧✪✟✡✝✕✌✏✗✙✳✕➏❤✟✡➐✕❋➑✇❇✌✍✟➒✧✪✟✡✎✍✟✡✂✆✌✍✟✣⑦✄⑦❤➓➔✹→❍✄❍❊⑦❤➣✄↔↕✹q✫✭✄✷t✟❊❏✭✬❞☛✾✟✡✎ ✑❉❋
➙ ➂❉➛✻➜✜➝✡❺✄➉✜❽❴➞✯❹✄❺✕❻✙❼✕❻✻❽✻❾✠❻✖➞❞❾✜➂❣❾✄❾✠❻✡➟❣❿✡➠✕❻✡➀❴➆④➇❉❾✠❻✙❺✜❽❤➁✕➂❊➡❛➆✆❻✙➉

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å❥Û◗Ù★Ú★Ò ã Û❋Ö◗ä❨æ✪Ò➝Ú★×❚Ý ➭✙➺❊➇
➯ æ✎Ø❥Ù③Ö❹Ú ã Ý❥Ö★Û➔î❆ß✉Û◗Ù☎ê✵Ú★Ò➆à➧Û➔Ú★Ø✵Ø❥â✰Ú③Ý❧Ò➆Ó
Ú★×✉Û➇Ô✉Ò➆Ö✝Ú☎Ý❥Ó ã Û✌â❁Û➒Ú❹æ✎Û◗Û❱Ó ➇Ý❥Ó✙Ô➥Ý❧Ó✲ê➔å❩Û◗Ù★Ú★Û✜➘❍ä❁Ý❧Ó✙Ô ➭ ☞➯✪æ✎Ø❥Ù③Ö✝Ú
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✌★✔☎❄▲ ◆❏ ✠❊

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❙✩❘ ★✾❯❱▲ ❲▲❑❯✁★
✌★✎◗☎❚▲ ✘ ✄✂✆✝ ☎✞✝
❳❊
✁ ✄✂✆☎✞✝ ✠✟✡
☛✌☞✎✍ ☎ ☞✑✏ ☎ ✒☎ ☞✔✓✖✕


☞✑✗✙✘ ✟
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✑☞ ✗✥✘ ✟ ❪ ❝❜ ❬❊
✧❊❫❴❋ ❲✿❛P ❵ ✰❜ ❭
❈❜ ✙❋ ❵ ❜


❡❞

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❣❊
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✬❋ ❈✿❥✐




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✙✮ ✯ ✛✟ ✰✮✔✲✱✴✳✶✽✵✸✷✺✟ ✹✢✮ ✫ ✗ ✮ ✼✻
♣♦ ✰q
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✉❋ ✈✦
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①✇ ❳❋ ❍✇ ✼②
✤✫ ❋ ❍❊ ❉ ③❊ ❩■
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❈✮❆✮ ✫❇✮❆✮
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♣④

✃❙ó❇✃ ô Ï✭q✪õ✤Ï✺q➇t❩❙❮ ö❫õ❇÷➋ø❴ù↕Ð➯q❣ú❜s ❒ ❰ûõ✤✠r ø❛ü↕Ð❇❮✷Ï✤♣✌r✠ø✲♣❋Ï❃÷➯q❱♣ ó ➴⑦Ó
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Ú★×✉Û➅Ó✲ß✉à➇â❁Û◗Ù✤Ø❧Þ✉ß✉Ü❍Ô✉Ý❧Ú★Û❱Ö✭Ú★×✷Ý❳Ú❱ä❧Ý❧Þ➨Ú★Û❱Ù✤Ý❥Ó✂Ò➝Ó✉Ü✙ß✰Ú✤à➲Ø✰Ô✰Ò⑩Ò ã Ý❧Ú★Ò➆Ø❥Ó↕ä
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ç ý✗Ò➝å❩Û◗Ó➎Ý❵Õ❥Ù③Ý❧Ü✙×➷ÿ
➭ ✁➯➌ä☛á➆Û➒Ú
✜❐✜❐✪❐
â❁Û✵Ý❚Ö✝Û❋î❩ß✙Û◗Ó ã Û➤Ø❧Þ✌Ò➆Ó✉Ü✉ß✰Ú❞à➲Ø✲Ô✉➦Ò Ò ã Ý❳Ú☎Ò➝Ø❩Ó✙✜Ö ➫
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