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Algorithms and Data Structures in VLSI Design by Christoph Meinel PDF

By Christoph Meinel

ISBN-10: 3540636897

ISBN-13: 9783540636892

One of many major difficulties in chip layout is the big variety of attainable mixtures of person chip parts inside of a procedure, and the matter in their compatibility. the hot software of information buildings, effective algorithms, and ordered binary selection diagrams (OBDDs) has confirmed very important in designing the pc chips of the next day. This publication presents an advent to the rules of this interdisciplinary learn quarter, emphasizing its functions in computing device aided circuit layout.

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✴ ✭✤❄✌ ✭✘✤✙✮❑✎✡✜✣✤✍✺€✜ ✙ ✭ ✝ ✂ ☛✞ ✁ ✂ ✂ ✁ ✂ ✁ ✡ ✂ ☛ ✠☛✡ ✂ ✒✓✡ ✂ ✁ ✁ ✁✞ ✡ ✡ ✁ ✂ ✡ ✂ ✂ ✡ ✂ ✁ ✡ ✒✓✡ ✁ ✡ ✂ ✠☛✡ ✂ ✂ ✂ ✁ ✂ ✁ ✁ ✂ ✁ ✁ ✂ ✂ ✁ ✑✥✤✛✺✣✄✘✤❄✕✒✁✪✭✘✮✡✑✥✺€✕✒✑✥✄✘✤✵✕☎✄❑✕✒✎✡✜■✭✳✓✒✓✒✸✡❱❑✗●✕☎✑✲✄✳✤❦✞ ✞ ✘★✩✎✡✖✜✻✩✧✡ s❬✜✣✆ ✑✥✽✘❇✢✶ ✎❄✕❘✧✖✄✝✠✢✟ ✆❬✖✕✒✠✎✡✜ ✗✖❡❩✸ ✾❶✕✒✎ ❯ ✤❙❱✻✸✡✽✘✭✘✽✳✤✢✜€✕❘✎✙✭✘✑✥✓ ✓✿✑✲✤❙✱✳✄✳✜✧✸✡✓✖✕✒✤✙✜✧✺✣✮ ✜✧✓✧✭✝✞✵✦✥✦❈❛✡✎✡✄✘✑✔✁■✓☛✓✒❱♦✑✥❱♦✄✳✤✡✗✙✜✣✦✲✑✔✴✛✺€✑✲✕✟✑✥✤✴✹✌❈❀✝s✏❥q✜✻✽✘✭✘✄✳✓☎✦✥✮✛✓✒✸✡✤❙❱❑✸✡✜⑥✽✳✽✘✕☎✜€✎✙✕✪✭❜✓✣✕ ✞ ✞ ✌✑ ✞ ❾ ✭ ✮ ❾ ✣✴✣✴✣ ❾ ✭✡✠ ✜ ✭ ★ ✚ ☞ ✔✌ ✘✭ ✁✒✜❬✤✙✭❜✕☎✸✡✁✪✭✝✦❄✤❄✸✙❱❇✬▲✜✣✁✪✓✣✞ ✎✡✜✣✤⑥✕✒✎✙✜❬❱✻✭✘✤♦✮●✑✥✜✧✓ ❜✎✡✑✔✓✶✦✥✭✳✓✟✕✶s❖✑✥✦✲✦✡✺✣✄✘✤❄✕☎✭✘✑✲✤✙✓ ✕✒✎✙✜✹✆➛✄✘✦✥✦✲✄❜s❖✑✥✤✡✽ ✺✣✄✘✤✙✮●✑✲✕✒✑✥✄✘✤✷♥✢❩❉✆❘✎✡✑✥✓q✁✒✑✔✺✪✎✡✜☞✓✻✺✣✭✝✤ ✬▲✜✢✓✒✗✡✦✲✑✲✕q✑✥✤❄✕✒✄ ✕✟s❬✄ ✗✙✭✝✁✒✕☎✓✻✄✘✆❘✜ ❄✸✙✭✝✦ s❬✜✣✑✥✽✘✎❄✕ ❜✕☎✎✡✜✣✤♦✜✧✭✳✺✪✎❇✄✘✆✙✎✡✑✔✓✼✮✡✭✝✸✡✽✳✎❄✕✒✜✣✁✪✓◗✓✖✎✡✄✳✸✡✦✔✮❇✄✳✬●✕☎✭✘✑✲✤⑥✄✘✤✡✜✩✄✝✆✙✕✒✎✡✜☞✓✖✜✩✗✙✭✘✁✖✕✪✓✣✞❈❩❉✆✍✑✥✤✙✓✟✕☎✜✧✭✳✮ ✕✒✎✙✜✣✁☎✜❘✑✥✓✩✤✡✄✵✓✒✸✙✺✪✎r✗✙✭✝✁✒✕✒✑✲✕✒✑✥✄✘✤ ❙✕✒✎✡✜✧✤✛✭✘✦✲✦➆✎✙✑✥✓❖✽✳✄✘✦✔✮✫✓✒✎✡✄✳✸✡✦✥✮✫✽✘✄♦✕☎✄⑥✕☎✎✡✜■✺✪✎❙✸✡✁✪✺✪✎❦✞ ★✩✎✡✜♦✽✘✜✧✤✡✜✣✁✪✭✝✦ ✳✸✙✜✧✓✖✕✒✑✥✄✘✤✹✕☎✎✡✜✣✁☎✜€✆➛✄✳✁✒✜⑥✑✥✓✧♥✰❩✟✓☛✑➀✕❏✗✍✄❄✓✒✓✒✑✥✬✡✦✲✜❇✕✒✄✛✮●✑✥✱❄✑✔✮●✜♦✭q✓✒✜€✕❏✄✝✆ ✂ ✤✙✭✝✕✒✸✡✁✪✭✝✦ ✤❙✸✡❱❇✬▲✜✣✁✪✓ ✎ ✭ ✞ ❾ ❾✳✭ ✠ ✖☛✑✥✤✻✕✟s❬✄❇✓✖✸✙✬✙✓✖✜✣✕☎✓❬✓✖✸✍✺✪✎✻✕✒✎✙✭✝✕♠✕☎✎✡✜☛✓✒✸✡❱✻✓♠✄❜✱✳✜✣✁✂✜☞✭✘✺✪✎✵✓✒✸✡✬✙✓✒✜€✕✩✭✝✁☎✜ ✜ ❄✸✙✭✘✆ ✦ ☛ ★✩✎✙✑✥✓♦✗✡✁☎✄✘✬✡✦✥✜✣❱ ✑✔✓✻✺✣✭✘✦✲✦✥✜✧✮ ✁ ✭✘✤✙✮ ✑✔✓ ✁ ❫✾❉✺✣✄✘❱❑✗✡✦✥✜€✕☎✜✘✞ ★✩✎✡✜ ✝ ✝ ✓✖✕✒✁✪✭✝✑✥✽✘✎❄✕✖✆➛✄✳✁✒s✩✭✝✁✪✮ ✕☎✁✒✑✔✭✝✦✲✾❁✭✝✤✙✮❙✾❉✜✣✁☎✁☎✄✘✁❑❱❑✜€✕✒✎✙✄❙✮ ✑✥✓✫✄✘✤✡✦✥✴◆✗✡✁☎✭✳✺❽✕☎✑✥✺✧✭✝✦❖✆➛✄✳✁✫✓✒❱❑✭✘✦✲✦ ✂ ✿✭✘✓q✑➀✕ ✁☎✜ ❄✸✡✑✥✁✒✜☞✓✂✕☎✜✧✓✖✕✒✑✥✤✡✽❇✄✘✆❈✭✝✦✥✦ ❃ ✠ ✗✍✄❄✓✒✓✒✑✥✬✡✑✲✦✥✑✲✕✒✑✥✜✧✓✏✑✲✤q✕✒✎✡✜❫s✏✄✳✁☎✓✖✕❬✺✧✭✘✓✒✜✘✞ ❣ ✄✘✕✒✜✰✕☎✎✙✭❜✕✩✑✲✆❈✓✖✄✳❱❑✜✣✄✘✤✙✜ ✽✘✑✥✱✘✜☞✓✩✴✘✄✳✸r✭❑✓✒✄✘✦✥✸●✕✒✑✥✄✘✤ ●✴✳✄✘✸✛✺✣✭✘✤✫✱✳✜✣✁☎✑➀✆➛✴✻✕☎✎✡✑✔✓✰✓✖✄✳✦✲✸✡✕✒✑✥✄✘✤r✱✘✜✣✁☎✴✻✜✧✭✳✓✖✑✥✦✥✴✘✞ ❃ ★✩✎✡✜❑✆➛✄✘✦✥✦✥✄❜s❖✑✲✤✡✽✹✗✙✁✒✄✳✬✡✦✲✜✧❱ ◗✺✧✭✝✦✥✦✲✜☞✌ ✮ ☞ ✁ ✝ ✝ ✁ ✁ ✚ ✝ ❈✑✔✓■✭✝✦✔✓✒✄ ✁ ❫✾❁✺€✄✘❱❑✗✡✦✥✜€✕☎✜✘✞⑥❍❫✑✥✱✘✜✧✤ ✭✘✤ ✸✡✤✍✮●✑✲✁☎✜✧✺€✕✒✜☞✮✢✽✘✁✪✭✝✗✙✎ s❖✑✲✕✒✎ ✂ ✤✡✄●✮●✜✧✓ ❦✮●✄❙✜✧✓☛✕☎✎✡✜✣✁☎✜⑥✜ ●✑✥✓✖✕■✭ ✺€✴●✺✣✦✲✑✔✺❇✗✍✭❜✕✒✎ ✄✝✆♠✦✥✜✣✤✙✽✝✕✒✎ ✂ ✕✒✎✡✁☎✄✘✸✙✽✘✎✹✕☎✎✡✜⑥✽✳✁☎✭✘✗✡✎✢s❖✎✡✑✔✺✪✎✢✕☎✁☎✭❋✱✳✜✣✁✪✓✖✜☞✓❖✜✧✭✳✺✪✎✢✤✡✄●✮●✜♦✑✲✤ ✕✒✎✡✜ ✽✘✁✪✭✝✗✙✎✫✜ ●✭✳✺❽✕☎✦✲✴✵✄✳✤✙✺€✜✍☛ ✺ ✭ ✔✌ ✔✓ ✔✓ ✗ ✑✸ ✭ ✓ ✣✴✣✴✣ ✌ ✭ ✌ ✍✎ ✔✓ ✽✌ ✖ ✄ ☛ ☛✒ ✭ ✖ ☛ ✣✒ ☛✩✖ ✔✁✌ ☛✩✄ ✁ ☛ ☎✌ ✌ ✍✎ ❼ ➓✩➁✣✇❁✉❄✈①➈❄❻ ➔❽→ ✯✰✶✕✏ ✌✞✛❀✎✒✛❃✓❉✌ ✧✖✠✢✟✡✟❉✠ ✘✵❊ ✱ ✙✦✓ ✡ ✆ ❇✢✶☛✡ ✶✷✌✏✎✒✩✫✑ ✥ ✴✩✬✜✛✹✣✍✯✖✱✏✢ ✛ ✾✝★❍✺✹✱■✙✏✥▲✶✭✥✮✛✟✦✘✴✵✬❅✛✹✣✍✯✖✱✍✢ ✬❅✱✏✶✭❂❄✯ ✪✮✶☎✾■✬❅✛✟✢ ✣✏❏ ✦✵✱❃✻❉★✰✪❃✥✧✦❉✻ ★✰✯✧✯ ★✰✦ ✶☞☛◗✱✍✬■✶ ✍ ✺✹✱■✙✍✥▲✶■✥✮✛✟✦❙✴✩✬❅✛✑✣✏✯ ✱✏✢ ✥▲✶ ✙■★✰✯✧✯ ✱✜✺ ✙✥✓✮③ ✭ ③ ✙✦✓ ✡ ✆ ❇✢✶ ✎✒✶ ❯✒✥ ✾ ✪❋❊ ✱☛✙■✛✰✢✝✴✩✯✖✱✍✢ ✱✏✦ ✪✫★✟✬✭❏✲✴✵✬❅✛✹✣ ✌ ✯✖✱✍✢ ✥▲✶ ✭ ✌✿✙■✛✟✢ ✴✵✯✖✱✏✪ ✱ ✘ ✖✧✩ ✡ ✆ ❇✢✶ ✧✖✠✢✟✫✧✾✠ ★✩✎✙✜❏✆➛✄✘✦✥✦✲✄❜s❖✑✥✤✡✽❑✗✡✁☎✄✘✬✡✦✥✜✣❱ ✑✔✓ ✙✦✓❥③ ✭❫✾❁✺€✄✳❱❑✗✡✦✲✜✣✕✒✜✳♥ ☛✍✌ ✆✞✗✘✎ ✔ ❯ ✤r✸✙✤✙✮●✑✥✁✒✜☞✺❽✕✒✜☞✮r✽✘✁✪✭✝✗✡✎✫s❖✑➀✕☎✎ ✂ ✤✡✄●✮●✜☞✓✣✞ ✒✿✗✘✎ ✆ ✗✘✎ ✔ ✆ ✜✧✓✞✝ ✍✌ ✑➀✆✼✕☎✎✡✜✣✁☎✜ ✺✑✛✔✱✏✶✘✦✵✛✰❖✪ ✜✏●✎ ✑✔✓✟✕❫✭✵✺€✴●✺€✦✥✑✔✺❘✗✙✭❜✕☎✎✢✄✝✆✼✦✥✜✣✤✡✽✘✕✒✎ ✂ s❖✎✡✑✔✺✪✎✛✕✒✁✪✭❜✺ ✾ ✱✘✜✧✁☎✓✒✜✧✓❬✜☞✭✘✺✪✎r✤✡✄●✮●✜❘✑✲✤r✕☎✎✡✜❘✽✘✁✪✭✝✗✡✎✫✜✏✡✎ ✭✘✺€✕✒✦✥✴✵✄✘✤✍✺€✜✘✞ ✆ ❣ ✄ ✝✒●✌ ✄✝✕☎✎✡✜✣✁☎s❖✑✥✓✒✜✘✞ ✂ ✂ ✂ ✂ ✂ ✡ ✁ ✁ ✡ ✁ ✞ ✁ ❛❝❜✄✂✆☎ r✧♥ ☛ ♦✕q ✛ ✩✫✪✜❁✘✛❃✌✘❄✘✠ ✹✌ ❁✘✩✻✪✒❁✞✛✢✌✞❄ ☞ ★✩✎✡✜❬✕☎✜✣✁☎❱ ✮●✜✣✤✡✄✘✕✒✜☞✓◗✮✙✭❜✕☎✭❏✓✖✕✒✄✳✁☎✭✘✽✘✜✏✭✘✤✙✮■✁☎✜€✕☎✁✒✑✥✜✣✱❜✭✘✦❄❱❑✜☞✺✪✎✙✭✝✤✡✑✔✓✒❱❑✓ s❖✎✡✑✔✺✪✎ ✺€✄✳❱♦✗✙✸●✕✒✜❑✕☎✎✡✜q✭✘✮✙✮●✁✒✜☞✓✒✓✒✜✧✓❏✄✘✆✩✕✒✎✡✜q✮✙✭❜✕☎✭✛✁☎✜✧✺✣✄✘✁✪✮✡✓☛✆➛✁✒✄✳❱➎✺✣✄✘✁☎✁✒✜☞✓✖✗▲✄✘✤✍✮●✑✲✤✙✽✫❚✳✜✣✴●✓✣✞ ❛✡✄✳✁✒❱✻✭✘✦✲✦✥✴ ✡✭♦✎✙✭✳✓✖✎✫✆➛✸✡✤✙✺€✕✒✑✥✄✘✤ ✝ ✏❳ ☎ ⑤ ♥✟✞ ✎✙✭✳✓❑✕✒✄ ✬▲✜✢✮●✜ ✙✤✙✜✧✮◆s❖✎✡✑✔✺✪✎◆❱✻✭✘✗✙✓♦✕✒✎✡✜✢✓✒✜€✕✵✄✘✆❫❚✳✜✣✴●✓✠✞ ✕☎✄ ✭ ✓✖✜✣✕✵✄✝✆❘✭✘✮✡✮●✁☎✜✧✓☎✓✒✜✧✓❇⑤■✞ ❯ ✮✡✭✝✕☎✭✛✁☎✜✧✺✣✄✘✁✪✮✢s❖✑✲✕✒✎ ✭✛❚✘✜✧✴ ✳✙ ✞ ✑✔✓❏✕☎✎✡✜✣✤ ✓✖✕✒✄✳✁✒✜☞✮ ✭✝✕❘✕✒✎✡✜q✭✳✮✡✮●✁☎✜✧✓☎✓ ✝ €✞✫❧♠✭✳✺✪✎ ✓✒✸✡✬✙✓✒✜ ❄✸✡✜✣✤❄✕✩✁✒✜✣✕✒✁☎✑✲✜✧✱❜✭✝✦✙✁☎✜ ❄✸✡✜☞✓✟✕✏✆➛✄✘✁✏✕✒✎✡✑✔✓✩✮✡✭❜✕✪✭■✁☎✜✧✺✣✄✘✁✪✮✻✺€✄✘✤✍✓✖✑✔✓✟✕✪✓✏✓✒✄✘✦✥✜✣✦✥✴❑✄✝✆✷✺✣✄✘❱❑✗✡✸●✕☎✑✲✤✡✽ ✕✒✎✙✜❘✎✙✭✘✓✒✎✛✱❋✭✘✦✲✸✙✜ ✝ ❖✭✝✤✍✮✫✓✒✜✧✭✘✁☎✺✪✎✡✑✥✤✡✽❑✭❜✕✩✕✒✎✙✑✥✓✰✭✳✮✡✮●✁☎✜✧✓☎✓✣✞ ❩❁✤⑥✕✒✎✡✜✩✮●✜✧✓✒✑✥✽✘✤❇✄✘✆✙✎✙✭✳✓✖✎❘✕☎✜✧✺✪✎✡✤✙✑ ❄✸✡✜☞✓✷✕✟s❬✄✿✑✥❱❑✗✍✄✳✁✖✕✪✭✝✤❄✕✼✭✘✓✒✗✍✜☞✺❽✕☎✓◗✎✙✭❋✱✳✜✂✕☎✄☛✬▲✜❬✺✣✄✘✤✙✓✒✑✔✮●✜✣✁☎✜✧✮➆♥ ✔✓ ✔✓ ✗ ✸ ✗ ✸ ✓ ✁ ✓❉❇❃❇✢✛❃✪✒✭✝✛❃✓❉✤✍✌✞✮q✪ ✑✔✔ ✮●✜✣❩❉✕☛✤❄✕☎✎✙✑✥✺✧✭✘✭✝✓✩✦❦✕☎✎✙✄✵✭✳✬▲✓✖✎r✜❇✱❜✮●✭✝✜€✦✥✕☎✸✡✜✣✜✁☎❱❑✑✲✗ ✤✡✜☞✸✲✮✛✴ ✎✡✄❜s➋✗ ✸❬✕✒✎✡✑✥✜❇✓✩✎✍✺✧✭✘✭✝✓✒✤✙✜❘✮●✦✥✄✝✜✧✆✶✮❦✕✟✞ s❬✄✻❚✘✜✣✴●✓ ✭✝✤✙✮ ✄ s❖✑➀✕☎✎ ✁✭✝✤✍❁✘✮✫✓✡✓✒✛✢✎✡✙✥✶✄✘✸✙✓✡✦✥✮r✸ ❁✘✮●✑✔✩✫✓✟✪✜✕☎✁✒❁ ✑✥✬✡✸✺✸●✗✘✕☎✌✞✜❏✙✚✕✒✎✜✎✡✛✢✜■✓✡✌ ✓✒✜€✔ ✕❖★✩✄✝✎✡✆◗✜☛❚✘✜✧ ✎✙✴❙✭✘✓ ✓✒✎❑✆➛✸✡✭✘✄✤✙✓❬✺€✜✣✕✒✱✳✑✥✄✘✜✣✤✤✛✭✝✤✙✓✖✮r✎✡✄✳✭✘✸✡✓✩✦✔✮❑✁✪✭✝✬✍✤✍✜☛✮●✄✘✜✧❱❑✭✘✓✒✦✥✴■✴✵✕☎✭✘✄❇✓✩✺€✗▲✄✳✄✳❱❑✓☎✗✡✓✖✑✥✸●✬✡✕✒✦✥✜✜ ✄✴ ✂ ✄ ✝ ✝ ✝ ✗➛✑✥✤✛✄✘✁✪✮●✜✣✁✩✕☎✄❑❚✘✜✣✜✧✗q✕☎✎✡✜❘✤❙✸✡❱❇✬▲✜✣✁✿✄✝✆◗✺✣✄✘✦✥✦✲✑✔✓✒✑✲✄✳✤✙✓❖✓✖❱✻✭✘✦✲✦✧✸❽✞ ✁ ✓❉❇❃❇✢✛❃✪✒✛❃✓❉✌ ❇❃✛✢✪✒✎✦✠ ❯ ✤ ✜✧✭✳✓✖✴✛s✩✭❋✴✫✕☎✄q✕☎✁✒✜☞✭❜✕❏✺€✄✘✦✥✦✥✑✥✓✒✑✲✄✳✤✙✌ ✓☛✕✒✑✥✎✡✓☛✜✹✕✒✄r✓✒✄✝✦✥✾❁✑✲✺✣✤✡✭✝❚✢✦✥✦✥✜✧✮✙✮ ✭❜✕☎✙✥✭✫✓❉✄✘❇❃❇✢✬ ✛✢❱✟✪✜✜✧✛✢✺❽✓✡✕✪✌✂✓❫s❖❇✢✛✢✑➀✪✒✕☎✎ ✎ ✞ ✑✔✮●✜✣✤❄✕✒✑✔✺✣✭✘✦❖✎✙✭✘✓✒✎ ✱❜✭✘✦✲✸✡✜☞✓♦✕✒✄✳✽✘✜€✕☎✎✡✜✣✁♦✑✥✤◆✭ ✦✥✑✲✤✡✜☞✭✝✁❑✦✥✑✥✓✖✕✔♠ ❲❙✜☞✭✝✁✪✺✪✎✡✑✲✤✙✽✛✆➛✄✘✁❇✭✢✮✙✭❜✕☎✭✛✁☎✜✧✺✣✄✘✁✪✮ s❖✑➀✕☎✎ ❚✘✜✣✴ ✕☎✎✡✜✣✤ ✁☎✜✔❄✓ ✸✡✑✥✁✒✜☞✓■✺€✄✳❱❑✗✡✸●✕✒✑✥✤✡✽ ✗ ✸✭✼✌ ✭✝✤✍✮ ✓✒✸✡✬✙✓✒✜✔❄✓ ✸✡✜✣✤❄✕☎✦✲✴ ✓✖✜☞✭✝✁✪✺✪✎✡✑✲✤✙✽r✓✒✜✔❄✓ ✸✡✜✧✤✳✕☎✑✥✭✘✦✲✦✥✴✹✆➛✄✳✁ ✑✲✤ ✕☎✎✡✜q✺€✄✳✦✲✦✥✑✔✓✖✑✥✄✘✤ ✦✲✑✔✓✖✕❇✺€✄✘✁☎✁☎✜✧✓✒✗✍✄✳✤✙✮●✑✥✤✡✽ ✕✒✄ ✗ ❽✸ ✞ ✘✭✻✖✓✖✕✒✧✩ ✁☎✡ ✑✲✤✡✽✆ ❇✢✶ ✴ ✧✖✠✢✟✱❆✖✣✒✠ ✣✴❨✷✣ ✜€✕✸ ✡✌ s❬✜❘✬✍✜✰✮●✜✏✕✒✎✡✍❳ ✜✰✤✡✜❏✓✒✜€✕✒✕✂✎✡✄✘✜■✆▲✺✣✭✝✄✘✦✥✁☎✦✙✁✒✓✖✜☞✕✒✓✖✁☎✗▲✑✲✤✙✄✘✽✳✤✍✓✔✮●✘✌ ✑✲✭✝✤✙✤✙✽⑥✮⑥✎✙✦✥✭✳✜€✓✖✕❍✎r⑤ ✱❜✭✝✴ ✦✥✸✡✎ ✜❏❥❥✬❙❾ ✴✣✴✣✒✣ ❾✒❢✘❢ ✖✳✞◗❛✡✄✘✁ ✟✞ ✸ ✗ ✲✸ ✴ ✗ ✟✞ ✣✴✣✴✣ ✸ ✶✸ ✴ ✭✘✓☎✺✟✗ ✑✚ ✸ ➑✗ ❱❑✄❙✮ ❡☞❥✘❥✑€✸ ❾ ✡✞ ✝ ✝ ☛✞ ✞ ✝ ✝ ☞ ✚✍✌✧✞ ❼❖➒◗➁✧✇❁✈①❷✪✇ 0 .

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Algorithms and Data Structures in VLSI Design by Christoph Meinel


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