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| Question | Answer |
|---|---|
| Form Name | Igi5 Form |
| Form Length | 15 pages |
| Fillable? | No |
| Fillable fields | 0 |
| Avg. time to fill out | 3 min 45 sec |
| Other names | project igi 5 full game no No Download Needed needed for pc, igi5 how mb, igi5 No Download Needed for computer, igi 5 no No Download Needed needed |
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vol. 7, no. 4, 1997, pp. |
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✚✜✛✌☛✞✄☞✝✣✢✥✤✦✌✡✑✟✠✡✒✍✘☞✑✟✧✔✌★ |
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✷✹✸✻✺✼✸✻✽✿✾❁❀❃❂✗❄❆❅❈❇❉❄✍❇❊✺✼✺✻❋✴✺❍●❈■✪❋✴❏▲❑✿▼✞✸✻❂◆✽ |
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❜✖❝✆❞✻❡❢❝✏❣✐❤❍❥✱❤❧❦✡♠❴❡❢♥♣♦❨❦✡ |
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⑥✉⑦✉⑧✏⑨▲⑩❶✉❷◆❷❉❸❺❹❼❻✆❽✉❾❿⑧✉➀✍❹✻⑦♣➁▲➂✪➃♣❹☞➄❢➆⑨✦➇❺➄✟➈❃➉✉➊ |
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➑➈✆➀✍❹❃❹✏➈♣⑩⑧☎➈♣➅✯➒➓❶✉⑩❽✉➌❺➈❃➃☞➔✞➀✍➇➐➃➣→✏➀✍❹✈➌❺➇➐➌↔➊✱➌➆➈✏❸❧↕✍➅✼❶✉❽✙❸◆➙➣➄✈➛✗➄✗➜✉➝✵➜☎➞✞➟✡➠✼➡☎➢☎➤✞➟♣❸★➥✴➏ |
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➋➈✼⑨✱⑧✉➅✏➌❺❾❍➈♣➀✍➌✪❶✻➍③➎✗❶✉❾✯⑨✦➊✱➌❺➈♣ |
❧➏✭➃♣➇➐➈♣➀✦➃❃➈ |
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✌✡✠✙✑✣➩✱✠✉✢➭➫❺✄☞✠✡✌✙✠✡✑✟➩❴✠✉✢❚✢✭✁✵✘☞✠☎➯ |
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➧➨✠✡➩✦✑✟✎✏✠✉✢➲➫❺✄☞✠✡➩✦✑✟✎✏✠✉✢❪✢✔✁✵✘☞✠✉➯ |
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✮✯☛✞✰✳✰➳✩✭✒✔✑✟✌✉✁✵✘☞✠✡✢✖✫✍✶❆➫➆➵❿✁✵✰✳✠❿☛✞➸✪➺➓✢✭✑❢✘☞☛✵✄♣➯ |
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➻➨➼➣➽➚➾◆➪➨➻❛➶➣➾ |
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➹➘✑✟✝✣✑✟✒✭✓❈✬✔✁✞✎➓✫❉✠✡✠✡✒✳✩✔✎✏✠ |
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✌✡☛✱✰✳✲✭✑✟✝✣✠♣➷✼ |
✑✟✰✳✠★✘☞✠✡✌✆✬✔✒✭✑➐❐✍✩✭✠✱❒✴✌✉✁✵✝✟✝✣✠✡✢❆✰✳✑✟✎✏✎❃➷✻✢▲✄☞✑✟➩❴✠✡✥✌✡✁✞✌✆✬✔✠❛✎✏✑✣✰❈ |
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✘✈✃✯✠✡✠✡✒✳✘☞✬✔✠➣✭✄☞☛✍✌✙✠✡✎✏✎✏☛✞✄✉✎❧❉✠✉✁✵➬✐✑✟✒✔✎❃✘✏✄☞✩✔✌♣✘☞✑✣☛✞✒✳✄✆✁✵✘☞✠❿✁✵✒✴✢➳✘☞✬✭✠❮✰✹✁✵✣✒✳✰✳✠✙✰✳☛✞✄✏✶➳✁✞✌❈✁✞✒✴✢❆✘☞☛❚☛✱✲▲✘☞✑✣✰✳✑✟➴✢✐✫✦✶❈✲✴✁☎✄✆✁✞✝✟✝✟✠✡✝✟✑✟➴✡✑✟✒✔✓➳✌✙☛✱✰✳✲✔✑✟✝✟✠✙✄☞✎✪✘☞☛❛✢✭✠✙✧ |
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✆✁✞✎✏➬✦ |
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✳✌✡✁✞✌✆✬✔✠✹✲❉✠✙✄✏➸❺☛✵✄☞✰✹✁✞✒✭✌✡✠✱➮❚➱✻➲✘☞✬✔✑✟✎③✲✴✁✵✲❉✠✙ |
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☞✑✟✝✣✠❛✎✏✑✟➴✡✠③✬✴✁✵✘❿✁✞✌✆✬✔✑✟✠✡➩❴✠✙✎❮✘☞✬✔✠③✬✭✑✣✓✞✬✔✠✡✎❃✘❍✌✉✁✞✌✆✬✔✠❛✬✔❢✘✏➷❼✄✆✁✵✘☞✠✞➮❍➹➘✬✭✠ |
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➸❺☛✵✄❮☛☎➩❴♣✄✁✞✝✟✝➚✲▲✄☞☛✱✓✞✄✆✁✵✰ |
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✶▲✎✏✑✣✎➳☛✞➸❍✁❆✝✟☛✍☛✱✲❨✒✔✠✙✎❃✘✹✁✞✒✔✢❩✘☞✬✭✠✡✒✌✉✁✞✌✆✬✔✠❧✰✳☛✦✢▲✠✡✝➆➮✂ |
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✑✟✒➭✰✳☛✦✢▲✠✙✄☞✒✩✭✄✂✘☞✡✌✬✔✒✭✑✣❐✦✩✭✠➘✑✣✢✭✠✡✒✍✘☞✑❢✧✴✠✙✎➓✲❉☛✵✘☞✠✡✒✍✘☞✑✣✁✞✝✔✌✡✁✞✌✆✬✔✠❧✰✳✑✟✎✏✎✏✠✡✎✪✘☞✬✭✄☞☛✱✩✭ |
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☛✱✒✔✢❈☛✱✒❈✃➘☛✞✄☞➬✦✎❃✘✆✁☎✘☞✑✣☛✞✒✔✎✡❒✍✃➣✑❢✘☞✬✐✎❃✘✆✁☎✘☞✑✣✎❃✑✟✌✡✎✿☛✞➸❊✰✑✟✎✏✎✏✠✡✎✪✲❉✠✙✄✪✄☞✠✙➸↔✠✙✁★✲✭✄☞✱✓✵✄✆✁✞✰ |
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✛✠➣✢▲✑✣✎✏✌✙✩✔✎✏✎✂✘☞✬✔✠➘✄☞✠✡✎✏✩✭✝❢✘☞✎✿☛✵➸✗✁✞✲✔✲✭❢✶✭✑✟✒✭✓❍✬✔✑✟✪✰✳✠✙✘☞✬✔☛✦✢③✘☞☛❿✓✱✩✭✑✣✢✭✠ |
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✲▲✘☞✑✣✰✳✑✟➴✉✁☎✘☞✑✟☛✱✒◆❒✔➹➘✑✟✝✟✑✣✒✭✓✭➮ |
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✟✒✦✘☞✠♣✄✏➸❺✠✙✄☞✠✡✒✭✌✡✠★✌✡☛✞✩✔✒✍✘☞✎➣✓❴✁✵✘☞✬✭✠✙✄☞✠✉✢❚✁☎✘❧ |
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✑❢✘☞✠✙✄✆✁✵✘☞✑✟☛✱✒❚➸↔☛✞✄➨➩✞✁✵✄☞✑✟☛✱✩✭✎➨✌✡✁✞✌✆✬✔✠★✲✴ ✄✆✁✞✰✳✠✙✬✔✠★✎☞✁✵✰✳✠❍✘☞✑✟✰✳✠✱➮✠♣✄☞✡➮ |
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✌✡☛✱✰✳✰✳☛✞✒✔✝❢✶❩✩✭✎✏✠✉✢❵✌✡☛✞✰✳✲✔✩▲✘✆✁✵✘☞✑✟☛✱✒✔✁✞➣➬❴✠✙✄☞✒✭✠✡✝✟✎✹✁✞✎✹✰✹✁✵✘✏✄☞✑❢ |
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✎❮ |
✁❍✽ |
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✠✟✏ |
✝✆ |
✄✂❿ |
☎★ |
✞✆ |
☛✡☞✍✌✈ |
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✑✏✔ |
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✏✟ |
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✁◆ |
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✄✂✴ |
✆☎✞✝✠✟✡✝✠☛✌☞➭ |
✍✂✴ |
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❿✂ |
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❿✂ |
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★ |
❃✟✏✂▲ |
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✍✂❉✎❊ |
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✑✓✒✠✑✕✔✗✖✙✘✝✖✙✚✜✛✣✢✥✤✝✠✟✡✝✠☛✦☞✢✧✛✩★✫✪✧✬✮✭✯★✰✛✩✘✝✠☛✌☞✥✱✖✧✬✲✛✩★✴✳✵✔✗✖✶✢✧✖✧★✰✖☛✸✷✖✺✹✻✛✷✍✼✩✟✡✝✠☎ |
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✁✿✡✞✌ |
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✽ |
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✧✾❉ |
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✔✏ |
✔✏ |
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✔✏ |
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✧✾❉ |
✺✗ |
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★ |
❃ |
✧✾❉ |
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☛❿ |
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❿✂ |
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✁❮ |
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❀✂✭★ |
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✁✿✓✿✡✭✁✿❂❁➘✌ |
✙✾❉ |
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❆❅✖❇✒✦☞ |
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❃✺❈✮❉✗❊ |
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❄✂✭ |
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❍●✉ |
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❍✎ |
✧■ |
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❮ |
✺❋❈✗❉✗❊ |
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✁❍ |
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▼❏ |
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❇❏ |
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❇❑❍ |
❖◆☞ |
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❮✎ |
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✙✾❉ |
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✁ |
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✍✂✭ |
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▲◆ |
❘■➚ |
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❿✂ |
✡✗✁✌◗❃✏✟ |
❿✂✡✁✌◗❿ |
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★ |
❃✟ ✭✏✁◆ |
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✑✓✒❚❙❯✼❱✷❳❲ |
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✼✩☛✸✷✖❪✤❫✖✷✍❲✦☛❫✝❵❴✧❛✧❜ |
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▲✗ |
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✂❿❮❝✗ |
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✖❩❨❬✖✙★❭✢✧✛✩★✴✬❍ |
✖❳❞✦✖✷✙❛❖☎✞✝✛☛❢❡❀❣★✝✘❂✖✗☛ |
❜✴✳✩✬✏❤✍✛✟✡✝❵✷☎ |
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✐✙❥➆❵❦✞❧✶♠❂♦❦✈⑤❢♥✉❄♥✆❦✱❝❮❝✍♥ ♦▲❝✠✂✣♥✣❦❿✻⑤☎❝☞ |
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✍❦✯ |
✶♥✣♠❴❞✈❞✻❝✆✫♣❴❝✣❧✈❝✉❥ |
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❁ |
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❿✂ |
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✧✾❉ |
✙■➚ |
★ |
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❿✂ |
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❿✂ |
✡✌✈ |
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❿✂ |
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✁❍ |
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★ |
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❂✾✴ |
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✧✾❉ |
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✡❉✁✁✌✂❉ |
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❮ |
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✆ |
✡✗◗✗☞✁✌✄❁ ★✧✾❉ |
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✻❏ |
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❿✂ |
★ |
❊ |
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❍✂ |
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✏✟ |
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✄✡❃❮✌ |
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❍ |
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✧✾❉ |
❿✂ |
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❿✂ |
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❃✟ |
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❮ |
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★❿✂ |
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★ |
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✁❮ |
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✡✌✈ |
❉ |
▲◆ |
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★ |
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★ |
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✧✾✴ |
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❿✂ |
✧✾❉★ |
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★ |
★ |
☞◆ |
❉ |
✙✾❉ |
❮✎ |
✑✏✔ |
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✻❏ |
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❍☎ |
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✓✂✭ |
★ |
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✄✂❿✧■ |
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❜✙✖✈☎ |
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✁✾➳ |
❿✂ |
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❘✂✭✝✆✭ |
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✡✠❱ |
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❿✂ |
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☞☛✟✞❱③ |
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✁③ |
❆✟✡✝✠☛✖ |
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✴❋ |
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❉❁✵❋✴ |
☛☞➭ ✁③ |
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☞ |
❮ |
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✍✌✯ |
✺❋✴ |
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✁✄✂☎✂✆✟✞✸ ❆❄✍✸✡✠➚❋✴✽❭❪❇❊❏❴❫✯❋➓✸✼❯❁❑✿✺✻❇❉▼✞✸✻❂◆✽ |
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✧✾❉ |
★★ |
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❉❙✌✒✠✑❨★✰✖✟✡✝✬✝✠☛✯✼★✴✳✍✌❆✖✗✌ ✏✎☛❫✝✠☎✶✝✛❜☞☛ |
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★ |
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★ |
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❈ |
✧✾❚ |
▲■✁✗✁✗❿ |
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✧✾✔✏ |
✧✾ |
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✧✾❉❿✂ |
★ |
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▲◆ |
❿✂ |
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★★ |
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❿✂✧✾✴ ▲✗ |
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✁★ ✧✾❉ |
✧■❿✂ |
✒✑❮ |
✏❅✧✾✻✴ |
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✡✌✠●☎ |
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✁✗✙✾❉ |
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✁★✗ |
❇❏ |
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▼✿❪ ✁③ |
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✙✾❉ |
✴❋ |
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✁✗ |
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✯✌ |
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✓✡✔✖✕✍❁✘✗✚✙✛✜✿✈✌ |
❿✂ |
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❿✂ |
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✿◗✁➲✗ |
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▲➚ |
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❉ |
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❊⑤✢✤✣❴❥✦✥★✧✪✩✖✫❴❦✡②★♠✱❡❢❝❥✈❝✣❧✈❦❳❦✈⑤❢♥✉✍♥☞❝✭✬➐♥✴❧✯✮✱✰✲✴✳✏✵✯✶✸✷✺✹✻✥✽✼ |
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❿✂ |
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❍ |
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✍✂✭ |
❆☞✓❛❢✼★③❣ |
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✿✂ |
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❙✌✒❚❙✝✬❛❖✟✁✼✩☎✞✝✛✂✁☛✫✟☞✛✩★✝✠☎❭❲✬ |
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❿✂ |
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✁★ |
❆☞✓✟✛✓❤✼❘✟❫✧✟✛✷☎✄✍❿✂ |
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❍✯✌ |
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❿✂❉❁❉❁✥❚✿◆❮✎ |
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❉ |
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✝✆❧ |
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▲✗✿✂ |
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✄❁❚ ✁③ |
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✟✥ |
✧✾❊ |
☞☛✍✏✎✍✑✍✒✔✓✖✕✘✗✝✙✚✞✡✠☞☛✍✌✏✎✍✑✍✒✔✓✜✛☎✗✢✙✤✣✡✠☞☛✍✌✏✎✍✑✍✒✔✓✖✕✘✗✢✙✥✣✡✠☞☛✍✌✏✎✍✑✍✒✔✓✜✛☎✗✝✙✤✛✧✦☎★✍✩ |
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✪✵ |
✞ |
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✰✣✡✠✬✫✭✌✭✮✏✒✚✙✂✕✯✦✢✛✧✧✦✧✦✧✦✧✦ |
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✱✳✲✭✴✏☛✥✵✤✙✶✕✸✷✹✕✯✦✧✛☎★ |
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✺ |
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✲✭✴✏☛✂✻✼✙✚✛✽✷✾✛✧✿✧❀✽❁❃❂❄✙✢✛✽✷✾✛✧✿✧❀ |
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❅ |
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✒✏✎✍❏✞✡✓✬✵✡✷❆✻✘✗✧✙✧✣✡✓✬✵✍❇❈✕✸✷❆✻✘✗✧❇✧✣✡✓✖✻❊❉❋✕✸✷●❂✍❉❍✕✘✗✧❇✍✣✡✓✖✻✘❇■✕✸✷●❂✍✗✧❇✧✣✡✓❆✻✸✷●❂✧❇❈✕✘✗ |
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❑ |
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✲✭✴✏☛✤☛✚✙✶✕✸✷✾✛✧✿✧❀✽❁▲✮▼✙✂✕✸✷✾✛✧✿✧❀ |
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◆✯◗✾✒✏✎✍❏✥ ✣✡✓☞☛✔✷❖✮❊✗✧✙✧✞✡✓☞☛✔✷❖✮❊✗ |
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✴❋ |
❿✂ |
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❍ |
✯✌ |
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❊⑤✢✤✣❴❥✵☎✧ |
❝❅✼ |
✓■❴❡✟❦♠❳❦✻⑤❢♥✉✴♠❂❧✞♥☞❝✭✢❊⑤❢❡❢❝✧✗ |
❼❅ |
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✿❇●★ |
✁✗ |
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❘■✂✙✗ |
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✁③ |
❘✾➲ |
➳● |
✼❅ |
✵❁ |
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✌●☞★ |
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✔❋ |
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❮❿✂ |
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✭✏ |
❤✼❜✙✖ |
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✁★ |
✄☞ |
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✧✾❊ |
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✯✌ |
❉❁❙❘❛ |
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✁★ |
❩✂▲ |
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✿✌ |
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✫✗ |
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✠✂❿ |
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▲◆❿✂ |
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✁ |
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i |
[min,max] |
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j |
[min,max] |
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1 |
Loop |
1 |
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Loop |
1 |
Assignment |
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[k,i] |
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[k,i,j] |
2 |
3 |
4 |
5 |
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1 |
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1 |
k [min,max] |
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A[i,j] |
B[i+1,j] |
B[i,j+1] |
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B[i+1,j] |
Program |
Loop |
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1 |
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[k] |
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r |
[min,max] |
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s |
[min,max] |
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2 |
Loop |
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Loop |
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Assignment |
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1 |
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1 |
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[k,r] |
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[k,r,s] |
1 |
2 |
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B[r,s]
A[r,s]
❿✂❉❁❉❁❁ ❮✎ |
✝✆❆✏✟ |
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❊⑤✢✤✣❴❥✰✧✪✩✖✫❴❦✡②★♠✱❡❢❝✁✯ ✍❦❃❦❳❦✻❝☞✄✂◆❦✍❧✻❞✈❝✁☎❖❧✻❝☞❝ |
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❿✂ |
➣✑ |
▼❋✴ |
✁✗ |
✧✾❃✴ |
✲❋✔ |
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✆❁❊✌●☞✉ |
✧✾✴ |
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✏✟ |
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✟✞✡✠☞☛✍✌✏✎✒✑✔✓❍◆☞ ❪❅✶❋❉ |
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Insert |
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Next |
NextCand |
Global Clock |
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Event |
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Event |
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NextLex |
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✿✌❉❁❉❁☞ |
❊❁❼❅✠●❿✁③✴❋[1,1,1,1,10,1,2,1,4][NextCand]✁★ ✖✕✽✗✁✗✆✄❅❼✠●③ |
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✧✾✴ |
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❅✠●❼❛ |
☎✂❿ |
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Miss Processing |
Miss |
Cache |
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Simulation Loop |
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Data |
Probe |
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[1,1,1,1,10,1,33,1,3][NextCand] |
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[1,1,1,1,10,1,34,1,2][NextCand] |
Affected |
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Event |
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[1,1,1,1,33,1,2,1,1][NextCand] |
Update |
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[1,1,1,1,33,1,2,1,5][NextCand] |
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[1,1,1,2,1,1,1,1,1][NextCand] |
Event |
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Guards |
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[1,1,1,2,1,1,1,1,2][NextCand] |
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Guarded Cache Model |
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Sorted Event List |
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✂❿ |
▲✗ |
❖◆☞✢✤✣❊⑤❴❥❈✱✧✾✴✧✖✩❉❫☎❝☞✧❦✙✘✴⑤❢❞❵❦➓❦✡✏✔✑➨✛✚♠✍❧✍❦✻ |
✁✄✜✗✂❦✍♥❴❝✣✢❉✐♥✵ |
✏✟ ✧✾❉ |
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✂ |
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❿✂ |
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☛ |
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❖◆❿✂▲■☞ |
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③✞ |
❖❊✌ ✗ |
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❿ |
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✄❅✁✠ |
✿❇● |
▲■❱✠ |
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✿✌ |
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✙✗✁ |
❿✂ ✁③ |
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❘✂▲ ❘■ |
✆❅✽❈✄✂✳● |
✧✾✴ |
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▲◆ |
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☎★ |
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✿✌ |
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✍✂ |
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▲◆✏✟ |
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❿✂ |
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✭✏ |
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▲◆ |
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❿✂✝☎✞✡☛✑✔✞✗✠☛❛ |
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✙✾✔ |
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✧✾✴ |
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❿✂ |
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✓■✟✞✡✠☞☛✍✌✏✎✒✑✔✓✆✆☎✞✗☛✑✔✞✡✠☛✯ |
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✞☎✍✂✥✞✡☛✑✔✞✗✠☛✳ |
❍ |
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❿ |
❍❿✂ |
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▲◆ |
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❩❅✼ |
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❳●☎❿✂ |
✑✏✔ |
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✁❍❃✟ |
✁✗ |
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✄✂❍❿ |
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❍ |
❬✗ |
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★ |
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❘■➚ |
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✍✂✠✂❿❿✂ |
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✠✟☛✡✞✗✑☛✆✆✑✔✞✡✠☞☛✌☞✍✂✖ |
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✑✏✔ |
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✧✾➭ |
✑✔✞✡✠☞☛✌☞✞✗✠❆ |
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✁✗ |
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✩■ |
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❿✂ |
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❼❅ |
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❳✂▲ |
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❢●☎ ✯✌ |
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✑✏✔ |
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★ |
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❿✂ |
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❙✌✒✎✍✑✏✄✖❳❞☎✱❪✝❜❳❜❯✼❘☛✸❣✩✝❵❣❱✼✩☎✖❨★✰✖❣✩✝❵✷✙☎✶✝✛☛✫✟☞✁✛❘★✝✠☎✠❲✬ |
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❿✂ |
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✟✞✡✠☛ |
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❆ |
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❿✂ |
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❿✂ |
✟✞✡✠☞☛✍✌✏✎✒✑✔✓ |
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❿✂ |
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✆ |
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❖◆☞✓✒✕✔✆✖ |
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❊✌ ❘✾ |
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✁✆✥ |
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✦✶✠ |
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✟✳✏✎✑ |
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✒✓✄✕✔✗✖✘✄✝✙✚✞✏✛✜✌✣✢✥✤✦✛✜✧✚★✑✤✦✩✥✤✦✛✜✙✫✪ |
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❷❉➔✞➇➐⑩➍ ✹ |
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✮ |
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❈✒❈❉❊✮ |
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✭✬✯✮➈ ✛✜✆✰✄⑥ |
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✏✛✹✡✰✺✍✻✼✢✥✤✽✛✧✚★✑✤✦✩✥✤✽✛✕✙✷✪✾✱✕✶ |
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✩✥★☎✙✷●❂✄✜✒◗✲✿✭✎☎✄✝✞✍✎❁❀❂★✝✙✘✡☞✌❘✛✕✧✚✄ |
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✩ ✙✫●✗✄✜❍■✛✄✜✤✍✸✮ ✞✍✎❁❀❂★❁✌✺❃✻❄✱❅✢❇❆✮ ☎✹✲✿❏✎☎✄✫✞✍❑✥★❁▲❂✺❃✻✽✳▼ ☎✹■✿✭✎☎✄✝✞✼✶✫✄✝✞✹✺❃✻✽✳✚◆❖❆❈✳✵✳ |
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✮❁✮✌❘✄✕✶✝✶◗✱■☎✹✲✿❚★✮❁✮✌❘✄✕✶✝✶ |
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✴❃✆✟✞❙★☎✙✚✞✍✴✍✛✜✆❖✱■✩✮✄✝✤✏✸❯✥✌✕✛✕✧✚✄☎✺❱★✝✳✽✡☞✌❘✛✜✧✚✄✕✻ |
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☎✹■✿❏★✌❘✄✕✶✝✶❈✱✲✮❁✮ ☎✹ |
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✥★✑✙✷●✗✄✕❍■✛✟✳ |
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✲✿❏❨❩✴❃✆✹ ✪✳❬ ☎✹■✿❏❨❭☎❳■✿❏✎☎✄✝✞✍✆❲✄✝❳☞✞✹✺▼✳✮❁✮✌❘✄✜✶✜✶❪ ☎✹■✿❏✧✚★✑✶✝✄❬✙✫★☎✙✷●✗✄✜✤❫✴❃✆✰✄✜✶✫✴✍❴❁✄✕✻ |
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✩✥★☎✙✷●❂✄✜❍■✛✄✜✤✍✸✶✝✄✫✞✍✎☎❀❂★❁✌✮ ✮✡☞✌❘✛✜✧✚✄☎✸✦✡☞✌❘✛✕✧✚✄✎☎✄✝✞✍❑❈★☎▲✗✺✍✻✳ ✲✿❏✎✑✄✫✞✼✶✝✄✫✞✹✺✍✻✝✳✹ |
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✡✗✌✕✛✕✧✚✄☎✸✼✶✫✄✝✎☎✄✝✞✼✶✫✄✝✞✹✺❃✻❬✻ |
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✡☞✌❘✛✜✧✚✄☎✸❑❈★✎☎✄✝✞✍❑❈★☎▲✗✺✍ |
✼✻ |
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☎✹■✿❚✶✫✄✝✞✍✮✺❃✢❇❆✎❁❀❂★☎✌✥✒◗❉❊✮ |
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✴❃✆❵✶✫✄✝✌✕✞✹✺❱ |
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➇➍★✑✙✚✞✍✴✍✛✜✆❖✱❅❍☎❛✵❛✲ |
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✎☎ |
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✎✑✄✫✞✍✎❁❀✟★❁✌✺❃✻✮ |
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➇➍✎☎ |
✬◆❖❆❈✳❄✳⑥✮✬✎☎❀❂★❁✌✢❇❆✥✒◗❉❊✮ |
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✎☎ |
✲✿❏✆✰✄✫❳☞✞✏✤✦✄✫❳✰✺ |
✢✤✽✛✕✧✚★☎✤❱✩✥✤✽✛✕✙✷✪☞✻ |
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☎✹❝✿❝✶✝✄✫✞✡☞✌❘✛✕✧✚✄❁✸✼✶✝✄✝✞✹✺✎✑✄✫✞✼✶✝✄✫✞✹✺✍✻✼✻ |
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✡☞✌❘✛✕✧✚✄☎✸✎☎✄✫✞❑✥★❁▲❂✺❑★❁▲❂✺❃❬✻✍ ✥ |
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➁➁➁ |
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✴❃✆✰✶✝✄✫✌✕✞✹✺❱✎☎ |
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❊⑤✢✤✣❴❥✺✧✐⑤❢❞✈❞✢✼❡✏❢✈⑤☎❝☞❧ ✂❦✜✍♥❴❝❮✇✞⑤❢②✎♠❴❡✟❦❳❦✈⑤❢♥✉ |
✟✞✡✠☞☛✍✌✏✎✒✑✔✓✆✆☎✞✡☛✑✔✞✗✠☛ |
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❘■✂ |
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✕✝✙✐❣❂●✉☞✍✌✈✙✾❚✯✌ |
✧✾❃✟✂ ❿✂ |
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✧✾ ✠✂❿ |
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✡❤❣✔ ✁ |
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✚❘❛✧✾✴✯✌ |
➆❅ |
❈✂ |
★ |
✧✗ |
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☎✞✡☛✑✔✞✗✠☛✓■★✧✾✴ |
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✁❿ |
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✒✔✆✖❨✓ |
✙✾❚ |
✄❅✻✧✗ |
❿✂ |
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❥☛❦✑✦ |
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✓❏ |
✧✾❪✙✾❊ |
✙✾ |
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❂✾✖ |
✯✌ |
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✧✾✴ |
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✒✕✔✆✖✡➚✏✟✩✾❉ |
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◗ |
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✧✾✴ |
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❿✂✑ |
❩❅✠✒✔✖✡✼ ❱ |
❢●❍✁■➚ |
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✁✗✧✾❊ |
✑ |
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✙✾✴1 |
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10 11 12 13 |
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cls = 32 |
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✙✾ |
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for I = 1, N |
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for ✂❿J = 1, N |
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✁❍ |
◆✙✾❁I[0]✩✾❉= J |
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I[1] = I |
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prod[I] = 52 |
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prod[J] = 8 |
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min |
= [1 , 1] |
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max |
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9 |
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11 10 |
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✧✾ ✁❮ |
❂✾✂❿ |
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curr = [I=5, J=3] |
Ex. 1 |
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address✁=❍224 |
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offset = 224%32 = 0 |
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inc = 32/8 = 4 |
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prov = [I=5, J=7] |
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done? = 7 <= 7 |
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curr = prov |
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new address ❿✂= 256 |
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curr = [I=5, J=7] |
Ex. 2 |
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address = 256 |
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offset = 256%32 = 0 inc = 32/8 = 4 prov = [I=5, J=11] done? = 11 <= 7 prov = [I=6,J=1] done?
done? 5 <= 7 curr = prov
new address = 292
❮
✍✂▲✙✾
❙✌✒✂ |
✄✖❳❞✏☎✹✻✖❳❞✝❵✷✛☞★✼✭ |
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❊⑤✢✤✣❴❥❅ |
✁✧✿❝✽✫✙❦✂❦✡✜ |
❳❦✈❝✣✢✐⑤❢❞✈❞✩✖✫❴❦✡②★♠✱❡❢❝✆❞ |
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✔✗✖✶✢✧✖✙★✰✖☛✯✷✫✟☞✁ |
✛✩★✝✠☎❭❲✬ |
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✍✂➭ ✩■ |
❮ |
✺❋❉ |
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☎ |
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✁✗ |
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❲✦✝❵✷✍✼✩✟✏ |
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❍ |
✍✂❆ |
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✁ |
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❿✂ |
✁❿ |
✍✂ ❿✂❍❳✂❉ |
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✩■ |
✖ |
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✩■ |
✯✌ |
✧✾❰ |
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❙✌✒☎✄ |
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✍✂❰ |
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✁✗ |
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☎♦✼✩❜▲■☎✞✝❜❵✷ |
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❈ |
✧✾➭ |
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✩■ |
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❁✄✁❉❚✿ |
✿✂ |
❛❘ |
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✍✂☛✂❿❮ |
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✄✂✴✁ ✧✾✁✴ |
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❉ |
❿✂ |
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❍✏✂✔✄✁❍ |
✙✾❉ |
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✁✗ ★ |
✿✂ |
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✆ |
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⑥ |
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✧✤✧ |
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✭★✑✔✞✏✄✝✌❁✻ |
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✶✷✞✏★✑✙✷✪❘✆✰✄✫❳☞✞✏✤✦✄✫❳✰✺✍✒✓✄✕✔✗✖❇✄✜✙✚✞✏✛✜✌❬★✑✔☞✳ ✫✌❘✤❫✴❃✁☎✄ |
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✞✏●☞✴✏✶✝✤❫✴❃✁☎✄✂✞✍✌❘✄✝✝✌✕✸✲★✑✔✱ ☎✹✜✄▼✡☞✞✍✌ |
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✏●☞✴✏✶✫ |
✝✹❅✿✭✞✍✌✕❈❝✞✏●☞✴✶☎✹✲✿❏✎✑✄✫✞✏✤✽✴❱✁✑✄❁✺✍✻ |
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✺☞✽✄✝✆❖✱❝❨❭✴❱❱✆❲✞✗✂✱✲✴✄✂✼✠☎❏✞✏●✗✴✍✶✝✤✽✄✆✹✥✁✂❬✌✡✝☛✝✂✻⑥ |
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✴❃✆✟✞✘❨❩ |
❃✆❲✤✦✄✫✆❖✱❝✞✏●☞✴✏✶✫✤✦✄✫✆❖✱✲✞✏●☞✴✏✶★✹■✿❚✽★✶✷✞ |
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✴✏✔✂✞✏●✏✶✝✤❫✴❃✁✰✼✗✱✲★✔✞✏✄✫✌❘✤✽✴❱✁✑✄❅✿✭✎☎✄✝✞✏✤❫✴❃✁☎✄☎✺❃✻✰✼✦✻❲✙✚❀✗✕✌✴✰✼☞✱✲★✑✔☞✞✏✄✫✕✸✙✚❀❂✌✜✌✴✰✴✼ |
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★✑✔✞✏✄✝✌❘✤ |
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✔ ✪✳❬❨❭✴❃✆❲✦✄✫✆❵✻✵✺❱★ |
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✔☞✛✜✌✺✴❃✆❲✞✗✴✄✂❬✴✆☎❏❨❩✴❃❲✤✦✄✫✆✼✴✞✝✟✝✂✻ |
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✄✜✤✦✶✝✄✵✔☞✛✜✌✙✚❀❂✴✰✼✱✲❨❭✴❃✆❞✸✙✚❀❂✜✌✞✏✄✝✌✕✤✦✄✫✆✴✰✼ |
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➁✧✹✌❘✄✜★☎✪ |
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✴✏✔✂✞✏●☞✴✏✶✝✤✽✌❘✤✽✄✝✆✱✲★✑✔✄✝☞✭✌✥✱✲✞✏●✗✴✍✶✝✤✽✄✝✆✌ ✍☎❚★✔✞✏✄✫✌⑥ |
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➁✆✰✛✝✌✕❨★☎✤❫✴✍❴❁✄☎✺✦❨❭✴❃✆✖✳▼❨❭★❁❳❂✻ |
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➁ |
✤✽★✶✷✞✹✺✍✻✌✝✟✝ |
❊⑤✢✤✣❴❥❑ ✁✧✿❝✽✫❦✴❝✘✽✫✞⑤☞♥★✣✴❧❃❦✡♠❂♣❴⑤✆❦✡❡♥✏✎✪❝✽✬↔❝✣❧✈❝☞❂♥☞❝✯❡✤✣✉♥✴❧✻⑤❦✞♣✱② |
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❿✂ |
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★ |
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✍✂ |
✁★ |
❍ |
✧✾❉ |
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❿✂ |
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▲✿ |
❿✂ |
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✙✾❉ |
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✁✗ |
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❍ |
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❉❁ |
✍✂❿ |
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❩❋✆✔ |
✙✾✴▲◆ |
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✙✾✴✍✂ |
✍✂ ✏✟ |
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★ |
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❿✂❉❁✄✁❉❁ ❍✎✔✏ |
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✠✂❿ |
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✷❮❂◆▼✞❇❊✺③❭❪❇❊❏❴❫✯❋✁ ✏✂✂✒✑❆❇❉▼✱❋✔✓❿✂ |
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✡✕☛✪❯✗✖✘✑❮❂◆✺✻✸✼❏➭❋✴❀✈❋✔❄✍❋✴✽✿❏✭❋✁ ✸✙✑❆❇❉▼✱❋✔✓❿✂ |
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❅❛❋✔❄✚✑➭❋✔❀❃❋✔❄✍❋✴✽✿❏✭❋ |
✔✓✄✂☎✂❿ |
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★ |
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✜✛✿ |
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❍ |
✁✗ |
✗✆ |
✍✂ |
★ |
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★ |
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❅❛❋✔❄✁❆❄✱❄✍❇✕✽ |
✂✱✸✼❏✁ ✸✄✂☎✂✒✑❆❇❉▼✱❋✆✓✂❿ |
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❅❛❋✔❄✁❆❄✱❄✍❇✕❭✖❇✗❏✱❫✯❋✽ |
✯✑➨ |
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✗✑❆❇❊▼✞❋✔✓✂❿ |
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❇❏ |
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★ |
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★ ✌✿ |
★ |
✲◗ ✁③ |
★ |
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✌✯ |
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❃ |
✆ |
✁③ |
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✂❿ |
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✧✾❊ |
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✂☎✄✝✆✌✭✒✟✞✍✌☎☛✍✌✡✠❈✒☞☛✍✒☎☛❋✮✍✌✏✎✥✙✒✑✚✙✚★✔✓✤✙✚✿ |
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✤✣✭✒☎☛✤✒✭✮☞✥✍✒✏✎✦☛✧✌✦✔✠★✜✘✩❍✕✝✜✘✩✘✩ |
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✓☞✕✖✠✴✏✲✔✗✭✲❋✮✠✘✌ |
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✙✓☞✕✖✠✴✏✲✔✚ |
✍✌✘✛✘✜✧✿✧✩✢✚ |
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✚■✻✏✮✧✮✏✭✮✤✣✭☎☛✚☛✒☎✲✡✠✘✌✦✔✠❀✘✜✧✿✘✩✘✩☎★✫✪✦☛✎✧☛❈✻✎❍✮✭✻■✻✏✮✧✮✏✒✭✮✬✄✭✚☞☛✍✒✥☛✍✌✮✌✜✦✔✠✜✦✦✦■✻✏✮✧✮✏✘✛✘✜✿✩✧❀✧✛ |
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✞✪✦☛✎✞✥✣✂ |
✯✄✏✒✒☎✱✰☛✍✒✏✎✭✌☞☛✳★✍✦✧✛✧✦✧✩✮✌ |
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✣✤✍✒☎☛✧✲✍✛✧✦❍✕✝✩✚✛✘✩✘✛✘✩✦☎★✍✦✤✦ |
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✂✦✥✦✚✦ |
✯✄✏✒✝☛✍✌✮✌✳✦✔✠✿✘✜✧✩✷✪✦☛✎✍✒☎☛✭❉✲☛✭✴✖✕✘✣✸✪✦☛✎✍✒☎☛✧✲✍✒☎☛✍✒✏✎✯✄✏✒✢☛✍✌☞☛✮✌✳✦✔✠✖✕✯✦✧✦✧✩✧✦❍✕ |
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✲☛✭✴✖✕✘✣✴✳✧✒✦✵✏✲✶✪✦☛ |
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✻✠☞☛✍✌✏✎✍✑✍✒✤✙✤✛✽✷❆✕✯✛✘✛✽❁❃❂✔✠☞☛✍✌✏✎✍✑✍✒✤✙✤✛✽✷❆✕✯✛✩✘✛✘✩ |
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✧✦☎★✍✛✯✺✭✛✔✠★✩✧✦✩❍✕▼✞ |
✼✻✤✦☎✗✤✦✚✦ |
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✿✘✜✘✩✘✍✒☎☛✧✲✍✒☎☛✍✒✏✎❍✕✠✜✛✿☎★✤✣ |
✍❉❋✕✘✗✔✩✥✦✚✦✧✩ |
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Blocked Transpose K =1, L = 4, N = 9 |
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✛✘✜✘✛✘✜✯✺✘✜✜✿ |
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0.7 |
❊❉❋✤✛☎ |
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❀✧✦✧✦✧✦✢✦☎★✝✦✘✛✘✜✥✦✶✕ |
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0.6 |
✘❇❈✕✸✷Miss✱✩☎✗Rate ✤✦●❂☎✗✟✛✘✜✘✛✘✤✦✚✜✥✦ |
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Instrinsic Rate |
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✹★✍✦✧✛❍✕✘✺❄✛✧✩✔✩✧✛✚✣✡✓✖✻✠✢✕✘★✡★✩✘✩✚✣✡✓✖✻✸✷●❂☎❇❈✕✘✗✼✻✚★✧✗✤✦✥✦✦✚✦✥✛✧✦☎★✍✛✢✦ |
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0.5 |
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✴♠❂❧☞✣❝✶♥✔⑤❢❞✘✶❦✻⑤❢✴✣ |
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0.4 |
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Rate |
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0.3 |
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✢✤✣❊⑤❴❥◆✧✜✂❦✍♥❴❝❮✇✙❦✈❦❳❦✈⑤❵❦♥❢❞☞❞✿❦✡✏✯ ✍❦❃❦❳❦✻❝☞ |
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0.2 |
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0.1 |
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0 |
0 |
50 |
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100 |
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150 |
200 |
250 |
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Block Size
✢✤✣❊⑤❴❥✧✪✩✖✫❴❦✡②★♠✱❡❢❝✚❧❂♣❃❦✡♠❈♥✿❱✿✟✬☞✢✐⑤❢❞✈❞➓❦✎❳❦✈❝✣✜ |
✙❦✻❞ |
✟ |
✑➭❋✂✞❑✯✺❼▼☎✂ ❍ |
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✂❿ |
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✏✭ |
✍✂✴ |
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9e+06 |
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✏✭ |
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8e+06✂❿ |
Mat. Mul. L 6 N 7 K 4 |
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◆ |
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Mat. Mul. L 8 N 7 K 4 |
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Mat. Mul. L 8 N 4 K✁4 |
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Jacobi |
L 7 N 8 K 1 |
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✍❱✒✠✑ |
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Jacobi |
L 7 N 8✏✔K 4 |
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7e+06 |
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Second |
6e+06 |
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✝✬❛❖✟✁✼✩☎✞✝✛☛❨❬✖✙★❭✢✧✛✩★✴✬✼✩☛✸✷5e+06 |
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References |
4e+06 |
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3e+06 |
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2e+06 |
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1e+06 |
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Block Size |
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✿✌✗✆❪✿✜✛➲ |
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▲✾✁③❊⑤✢✤✣❴❥✦✥✯◗☎✧✪❝✎✽✬↔❝✣❧✈❝☞❂♥☞❝➨✇✞⑤❢②✎♠❴❡✟❦✔✆ ❳❦✻⑤❢♥✉➓❦✎❳❦❃✟✈❝➐♥✬✴❧✳❦✢❳❦✞❧✻⑤✫❿✂❄♠✢❴❡✈⑤❢♠✱❡❢⑤❦ ♣❦♥❳❦✻⑤❢♥✉❮ ✁■➚ |
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✍✂✥ |
✧✾❉ |
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❘■✂ |
✁■➚ |
✧✾❉ |
❿✂ ❍ |
❿✂ |
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❿ |
✙✾✴ |
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❉ |
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✏❋✴ |
❆❁❊✗☞ |
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✁❮ |
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✧✾❉ |
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✍✂❉ |
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❿✂ |
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❅❼ |
✍✂ |
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❪❣❁❱●✛❮ |
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✁✾❆ |
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★ ✞ |
❣◗✕☛ |
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✆❣✖✕✠ ❣◆ |
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✂❂✾❉❱❋❉ |
✍✿▲❆✿ |
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✁✾ |
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❘✂▲✴❋ |
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✂✁✄✁✎ |
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❍◆☞ |
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❮✎ |
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☎✂❿ |
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✿❂❁ |
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❘✂✴ |
▲➚ |
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✝✁❍✖✴❜✁■➚ |
✭❛❤✟✡✝❵✷❪ |
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✏✭✿❱✿➭✍✂✴ |
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✂❿✍❱✒❚❙❯✛❘✬✮✭✝✠✟✖❡♦☎✶✝✬✲✖❆❜✙✖✟✷✙☎✶✝✛☛✛❀✢✤✝✠✟✂❿✖✼ |
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✌✯ |
▲✾❨ |
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❉ |
0.025 |
✁★ |
Matrix Multiply Associativity = 4, Lines Size = 64, Lines = 128 |
❅✼ |
✁★ |
0.18 |
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Matrix Multiply With Different Cache Architectures |
✌✯ |
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▼✿✓✿ |
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0.16 |
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K = 1, L = 6, N = 11 Miss Rate |
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0.02 |
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✡✁✌◗K =❭●4,✉L = 6, ✂❿N = 9 Miss Rate |
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✾✴ |
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☞❱❁✠ |
0.14 |
K = 4, L = 3, N = 12 Miss Rate |
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0.12 |
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✂❿ |
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✁ |
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✁◆ |
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0.015 |
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N = 293 Miss Rate |
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Miss Rate |
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N = 300 Miss Rate |
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Miss Rate |
0.1 |
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0.08 |
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0.01 |
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0.06 |
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0.005 |
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0.04 |
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0.02 |
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Block Size |
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Block Size |
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✿✌ ✓❏ |
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❊⑤✢✤✣❴❥✦✥★✥★✧✳❦✢ ❳❦✶❧✈⑤✫❄♠✢ ✱❡✈⑤❢♠❴❡❢⑤❦ ✆❦♥❳❦✻⑤❢♥✉➐♥✬✴❧✉❦✍❧✈⑤❢♥✴♠✱❞✰✉❤✵ |
✪❦✜ ✍♥✞♣❴❝❧✞♥✞♣❴⑤✈❝❦✣♥♦❦✶♠❂❧✈❝☞❞ |
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✯✌ ✿❇❁✥✿✁③☞ |
✙✾❊ |
❉ |
★ |
✁✾✔ |
✁✿✡✍✌✛ ➘ ❮ |
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▲❏✭✴✥ ✖✕✧✫☎✒✤✞✡✓✵ ✼✓✔✷★✓ |
✼✓★✓✧✗✡✠✂ |
✼✓✔✷★✓✧✗ |
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✰ |
✲✭✴✏☛✂ |
✧✗✔✷❃✣✡✓✄✂ |
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✄✂ |
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✻✼✙✶✻✸✷✠✎✹✻✧✻✘❇☎✂✔✷★✓✺ |
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✺ |
✲✭✴✏☛✤❂✧❂✚✙✶✕✸✷✧✻✼✙✶✕✸✷✥✙✠✎✹❂✧❂☎❇☎✂✔✷★✓✺ |
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❅❑ |
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✒✏✎✍❏✞✡✓✖✻✸✷●❂☎✗✧✙✧✞✡✓✖✻✘❇❈✕✸✷●❂☎✗✧❇✧✣✡✓✖✻✸✷●❂☎✗✍❇✧✣✡✓❆✻✸✷●❂☎❇■✕✘✗✧❇✂✓✜❂✽✷✘✻✘✗✧❇✂ ✻✘❇❈✕✯✗ |
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◆✯◗✒✏✎✍❏✒✏✎✍❏✒✏✎✍❏ |
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✥★✥✸✫✸✷✸ |
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❊⑤✢✤✣❴❥✦✥✵☎✧✪⑤❢❡❢❝☞✿☞✧❦✈❝☞❂♥☞⑤❢❡✜ |
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Tiled Stencil Computation
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0.24 |
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L 6 N 7 K 1 |
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L 5 N 7 K 2 |
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0.22 |
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L 4 N 4 K 4 |
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0.2 |
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0.18 |
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Miss Rate |
0.16 |
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0.14 |
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0.12 |
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0.1 |
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0.08 |
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0.06 |
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Tile Size |
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✿✌ |
✢❊⑤✤✣❴❥✥✰0.65✧✔✎0.7➓❝☞❞✶♠❴❡✈❞❦✬➐♥✴❧✔☎➓⑤❢❡❢❝☞✙❦✈❝☞❂♥☞⑤❢❡❉❤➘❝✣❧✻ ✦✬➐♥✴❧✁➚❦✍❧✈⑤❢♥✴♠✱❞✙✜✂❦✍♥✱❝✣✂✗❦✍❧✈❦✡②★❝✣❦✻❝✣❧✈❞ |
◆ |
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✁✾➭✿✙❈ |
0.55✲✿❛ |
✁❁ |
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Tiled Transpose Simulation vs. Real |
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Degradation |
0.6 |
Target |
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Performanceor |
Simulation |
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0.5 |
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0.4 |
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0.45 |
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Simulated |
0.35 |
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Normalized |
0.3 |
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0.25 |
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0.2 |
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☎✂ |
❭❪❂➚✽✿❏✭✺✼❑✞✸✻❂◆✽✂ ✂ |
❊⑤✢✤✣❴❥✘✱✥✴✧☞✂❊❝❀❧✄✬↔♥✴❧✻②③❦✡❂♥☞❝➘♥✟✬☞☎✪⑤❢❡❢❝✆✳❦✢❳❦✶❧✈⑤✫❖❧☎❃❦✡ |
❂✾✔ |
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❊ |
❢✂✴ |
✠✂❿ |
✿ |
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✡✆ ✈✌ |
❊ |
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▲✿✡✜✛✁✌❃ |
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✄✂❿❮✑ |
❮ |
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★ |
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❆❏✪✽✿❂✄✂✥✺✻❋✔❬✯✾➚❯❱❋✴✽✂ |
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➧❮✠✡✒✭✎✏✎✏✠✡✝✣✁✞✠✙✄➳ |
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❛✁✞✒✔✢➲✮✯✬✔✁✵✄☞✝✟ |
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➹➘✬✭✠✖✁✞✩✭✘☞✬✭☛✞✄☞✎★✃➘☛✞✩✔✝✣✢ |
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➹◆✠✡✌♣✬✭✒✔☛✞✝✣☛✞✓✱✑✟✠✡✎✡❒✠✟✯✠✙✝✣✝✔✕➚✁✵✫❉☛✞✄✆ |
☛✡✌☞❮✄✆✁✵✒✦✘☞✎✿✮❧✮✯➧➣➷✑✟✠✡✯✁✵✒✴✢❛✫✦✶❛➵❿✤✎✍✑✏✁✒✔✓✖✕✗✏✖✕❮✁✞✒✔✢✐✮❧✮✯➧➣➷✘✍✁✒✖✕✚✙✁✛✑✏✢✜▲➮✯➹➘✬✔✠ |
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➸❺☛✵✄③✬✔✑✟✎★✬✔✠✡✝✟✲❆✑✟✒➲✑✟✰✳✲✔✝✟✠✡✰✳✠✡✒✍✘☞✑✟✒✔✓✳✘☞✬✭✠➳✲✴✁☎✄☞✎✏✠✙✤✣✔✠✡✌✙✘➣✘☞✬✔✠❍✲❉☛✱✎✏✑❢✘☞✑✟☛✱✒✥☛✞✄➨✲❉☛✞✝✣✑✟✌✙✶❪☛✞➸➚✘☞✬✔✠❈➮✤❉➮❍☛☎➩❴✠♣✄☞✒✔✰✳✠✡✒✍✘✉➮✑✣☛✞✒✹☛✞➸✗✘☞✬✔✠❍✎✏✑✟✰❈✩✔✝✣✁✵✘☞☛✵✄✉➮➓➹➘✬✔✑✟✎✯✃➘☛✵✄☞➬✐✃❧✁✵✎❧✎✏✩✔✲✔✲❉✥ |
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✑✟✒✹✘☞✔✠❿✮✝✆✞✆ |
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✌✙☛✱✒✍✘☞✠✡✒✍✘➨✢✭☛✍✠✡✎➨✒✔☛✵✘➣✒✔✠✡✌✙✠✡✎✏✎☞✁✵✄☞✑✟✝❢✶❰✄☞✠❆❋✴❀❃❋✭❄✍❋✴✽✯❏▲❋✂ |
✏✄✆✁✞✒✔✎❃➸↔☛✞✄☞✰✹✁☎➷ |
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✱➮✕ |
✛✧✦➮❮✫✭✩✭➷✈✤✭✁☎➸➆✁✞✬✗❒✝★➳➮✿✧✩★✩✔✌✆➬❉❒❧✁✞✒✔✢✪★➳➮✬✫ |
✭✦☞✑✟✠✱➮ |
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❛➮➘✕◆✁✉✃❧✗✰✆✔✱✳✲✖✴✶✵✸✷✺✹✼✻✁✽✖✾✔✽❀✿✞❁✔✷❂✱➨✩✭✘☞☛✞✰✹✁✵✘☞✑✟✌❚✲✭✄☞☛✞✓✞✄✆✁✵✰✏✶✳✌✙☛✱✰✳✲✔✩▲☞✠✙✄☞✎✡➮✂➱✻✒❼✔✲✄❁✁❃✢❄✸❅✄❆✖✷➶ |
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✘☞✑✟☛✱✒✔✎➘➸↔☛✞✄➣➩✦✑❢✄✏✘☞✩✴✁✵✝❉✰✳✠✡✰✳☛✞✝✟☛✍✌✉✁✞✝✟❢✘✈✶✍➮➨➱✈✒➻❛➶❏■ ❑✰▲✹▼✱✳✷✻❑✰✤❂❆✶❁✁❃❆◆❅✑❅▲✷❖✵✸✮➮▲➹➘✎✏✠✡✒✭✓✭➮✯✮✯☛✱✰✳➽ ❑❁✢❄◗❄◗✱✺✲✖✴❙❘❏❁✔✲▼✴✔❆☛❁✗✴✭✑✣✝✟✠✙✄➘☛✱✲✭✘☞✑✟✰✳✑✟➴✉✁☎✘☞✑✣☛✞✒✔✎✯➸↔☛✞✄❧✑✟✰✳✲▲✄☞☛✍❚❁✢✲❉❱❯❲❅✶❁✔✷❂✱✳✲▼✴ |
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➶✔✲✗✵❇✲❈✰✆ |
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❉✍✁✙✁✍✗❊✖✍✁✓✢❋✭❒✗ ❀✕✗✍✑✓✢✍▲➮ |
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✦➮★✤❊➮▲✮➘✁☎✄✏✄✉❒✒ ●✩✐➮✖❍❰✌✚✩ |
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✛ |
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➽✻❇❄➳ |
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➽❁✔✲❩❨❇❳★✑✟✒✔✝✟✠✙✶✍❒▲✁✞✒✔✢✖✮✌✙✘☞☛✱✫❉✠✙✄▲➮ |
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▲❿➹❍➮✜ ▼✡✴✁✵✬✭✄☞✑✟✒✔✓✞✠✙✄✉➮❭✦➨✩✭✘☞☛✱✰✹✁☎✘☞✑✟✌➨✮➘✞✌✆✬✔✠➨ |
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➱✈✒✯✮❧✗✰♣ |
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❰✶✵❫❪➻✵➶➚➻✻✁✽✑✽✁❴✔❳❵❘❑✰❬✕✚✍✁✍✔❋✆✘❛❪✷❜❁ |
❝✕✗✔✍✁✜✦➮ |
❫❍❰✠✡✰✳☛✵✹✮➘✁✵✌♣✬✭✠❰✁✵✒✴✢✞✄✏✶ |
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✭➮❋✸★➳➮❭☞❿✁✵✒✔✒✭☛✱✒◆❒✛➮✂ |
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❞✩✐➮❭☞ |
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✍✘✏✄✆✁ |
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❚✁✞✒✔✁✞✓✱✠✙✰✳✠✡✒✍✘❪✫✍✶❍ ❡☞❍✝✟☛✫✔✁✝❿❿✁✞✝✟✝✟✑✣➩✞✁✞✒✗➮❩✤➹◆✄✆✁✵✒✔✎❃➸❺☛✵✄☞✰✹✁✵✘☞✑✟☛✱✒❢❨✦✔❆✦▲✲❈❁✁❃❍✶✵❣✮❫❁✘☞✠✡✓✞✑✟✠✡✎➳➸❺❑❁✁❃✳❃✣✤❃❉❁✔✲✴✐❤❝✱▲❥ |
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✷❇✱❂❦✤❆✠✷✻ ➶✔❄✸❅✄❆✖✷❂✱✳✲▼✴✞❒✌✙✘☞☛✞✫❉✠✙✄✦➮ |
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✎✏☛✞✄➨✲✭✄☞☛✞✓✞✄✆✁✵✰✳✎➣✃➣✑❢✘☞✬❚✰❛✘☞☛✍☛✱✝➆➮✪➱✈✒✯✮✗✰✞✕✗✍✔❧✁❧ ✶✵➽❆◆❅❑✰✔❄❉❅✄❆✖✷❂✱✳✲✖✴✯✽▼✻❏✕✗✍✔✍✠✕✞➮ |
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✦➮✏ ☛☞☛✞✝➐✢▲✫❉✠✙✄☞✓✐✁✵✒✴✢✹✠✫❍✠✙✒✔ ✠✙✎✏✎❃✶✍➮✪ |
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✙❝✦❛➮❲☞❍✩✔✲▲✘✆✁▲❒❭❍➭➮❵❍❚✁✵✄✏✘☞☛✞✒✔☛✱✎✏✑➆❒✿✁✞✒✔✢➲➹❍➮❲✦❮✒✴✢▲✠✙✄☞✎✏☛✱✒✗➮✌❍❰✠✙✰✳✎✏✲➨✒✴✁✞✝❢✶▲➴✡✑✟✒✔✓❰✰✳✠✡✰✳☛✞✄✏✶♠☎✼✦ |
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✦✓ |
✛✫❉☛✞✘✏✘☞✝✟✠✡✒✭✌♣➬✦✎❧✑✟✒❚✲✭✄☞☛✞✓✞✄✆✁✵✰✳✎✡➮✠✩✐➮●✩③✁✵✲✔✝✟☛✉✃❮➮☛✩✐➮✴✤✦➴✙✶▲✰✹✁✞✒✭✎✏➬▲✑➆➮✪ |
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♥✮➨✺✵▲❄❙✔✲✄✰➻✲❈❁✁❃➪❇♦✗✱✼ ♠✒✢✛✭➫✶✕☎➯♣✕✗✍✔✍✑✒☎❒✦➮ |
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✌✉✁✞✌✆✬✔✠★✲❉✠♣✄✏➸❺☛✞✄☞✰✹✁✵✒✔✌✡✠★✲▲✄☞✧✮❑❁✁❃✺❃✤❃❈✮✗✰▲✱✺✲✖✴❚❘❇✷❂✷✉✢✭✑✟✌✙✘☞✑✟☛✞✒◆➮✻❖✙✭➫✶✕✉➯❇☎ ✭❒❵✕✚✍✁✍✁✙✦➮ |
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▲➮❧✞❍➭➮✗✤❊➮❉✕➚✁✞✰❚❒❉➺➣➮✗➺❧➮❉➧➨☛✞✘☞✬✦✫❉✙✄☞✓✭❒✗✁✵✒✴✢✛☛✱✝❢➸✈➮❿➹➘✬✔✠➳✮➘✁✞✌✆✬✔✠❈☛✱✲▲✘☞✑✟✰✳✑✣➴✡✁✵✘☞✑✟☛✱✒❚✫✔✁✞✎✏✠✉✢✖☛✱✒❪✌✡☛✱✰✳✲✭✑✣✝✟✠✙➷❼✘☞✑✟✰✳✲✭✘☞✑✟✰✳✑✟➴✉✁✵➷ |
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✘☞✑✟☛✱✒✔✎✹☛✵➸❬✟✯✝✟☛✍✌♣➬✱✠✉✢❡✦➨✝✣✓✞☛✞✄☞✑❢✘☞✬✔✰✳✎✡➮➱✈✒✉✮✗✰◆✈➻❛➶❏■➻❍➽✮✬❘❳➽➽❁✔✲☛✷❜❁❃✇❁❑❁✔❳➶ ➶➚➻❒➓✲✔✁✞✓✱✠✙✎ |
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✃➣✑❢✘☞✬❁✝✟☛✍☛✱✲❁✘✏✄✆✁✵✒✔✎❃➸↔☛✞✄☞✰✹✁✵✘☞✑✟☛✞✔✎✡➮★✑✣✒✭✝✟✠✙✶✍❒➚✤✦✘☞✠✡➩❴✠✐✮➘✁✵✄✏✄✉❒➻❛➶❏■➾❑❁✔✲✤❁✁✰✤✷❂✱❼✔✲✔✲✪✮✠✙✒➭➹➘✎✏✠✙✒✔✓✭➮➳➱✈✰✳✲▲✄☞☛✵➩✦✑✟✒✔✓✖✢✭✁✵✘✆✁❪✝✟☛✍✌✉✁✵✝✟✑✟✘✻✶❧✞❑❁✔❄❀❄◗✱✳✲▼✴❱❘♣❁✔✲❈❁✗✴✔❆☛❁✗✴✌❁✔✲❉ |
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✙✁✜✗❊✠✓✢❋▲➮♥✦➨✮✝❍➭❒✔➵❉①➳❒☛✦➨✲✭✄☞✑✟✝❵✕✗✍✁✍✖✕✱➮ |
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✛ |
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▲➮✍✸✩③✁✵✘☞✬▲✄✏✶✭✒➭✤❉➮❲❍❰✌✤✩ |
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✦➮✗✛✞✩③✵✘☞✬▲✄✏✶✭✒♥❍❰✌✚✩★✑✟✒✔✝✟✠✙✶✝✟✑✟➩❴✠✙✄❰➹➚✠✡✰✹✁✵✰❚➮②✦❐✍✩✴✁✵✒✍✘✆✁✵✘✆✁✵✘☞✑✟➩❴✠ |
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➽✻❇❄➳❏✕✚❧✭➫❂❋✍➯❇☎❋✑✒✢❋✢❊✑❋▼✏✢✜▲❒◆❩✕✗✍✔✍✁✙▲➮ |
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✝✟☛✍✌✉✁✞✝✟✑❢✈✶✍➮➓➱✈✒➻❿➽✮✧❘✝❯❥◆③✄✦➽ ❪❑❪➨✮✝❍➭❒❖✕✗✍✁✍✔✙▲➮ |
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✌✡☛✱✰✳✲✭✩✭✘✆✁☎✘☞✑✣✦✔❆✦▲✲❈❁✁❃➚✶✵❫✮❫❁❑❁✁❃✳❃✤❃☛✞✝✣✠✙✎✏✒◆➮ ➻ |
❴▲✱✳✷✺✹✖❄➳✞❁✔✲❉➻❅✁❅❈❃④✰❼✔✲✭♠✒▲➫✶✕✉➯❇☎✏✗❊✠✒✢✙▲❒❲✕✚✍✁✍✢❋✭➮ |
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✞✁✕❬✟➘✁✞✝❢✄✆✁✵✰✤▲✑✟✒✭✬✴✁✵✄☞✉✶✯ |
✤▲➴♣✶✭✰✹✁✵✒✔✎✏➬✦✑➆➮➐✁✡✃ ❉✡ |
✃➘✁✉➩❴✠✙➸↔✄☞☛✞✒✍✘★☛✞➸✿✲✴✁☎✄✆✁✞✝✟✝✟✠✡✝ |
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✰✹✁✵ |
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❪✶⑤✬⑤✧⑤➾❑❁✔✲✚✈❱✮❫❁❑❁✁❃✳❃✝✟☛✍☛✞✲❵✘✏✄✆✁✞✒✭✎❃➸❺☛✵✄☞✰✹✁✵✘☞✑✟☛✱✒❨✘☞✬✔✠✡☛✵✄✏✶❨✁✞✒✴✢❵✁✞✒❵✁✞✝✟✓✱☛✵✄☞✣✤❃♥❁✔✲❉✯❤✞✱❺➆▲✱④❦✤❆✖✷✻ ➽▲✷✻❇❄❈⑥✜▲➫✶✕✗✛✱➯❇☎❋✑✏✁✒✚❊ |
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✕✍◆✒✼❍➮➭➮✿➺➣➮☛✞✝❢➸★✁✞✒✔✢✛ ❡❍➭➮➘✤❊➮➓✕◆✁✞✰❚➮❡✦ |
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✘☞☛ |
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❋▼✓▼✕✱❒❏✕✚✍✁✍✖✕✱➮ |
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✿✁ |
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