Download e-book for kindle: Algorithms and Data Structures in VLSI Design by Christoph Meinel

By Christoph Meinel

ISBN-10: 3540636897

ISBN-13: 9783540636892

One of many major difficulties in chip layout is the big variety of attainable combos of person chip parts inside of a procedure, and the matter in their compatibility. the new program of knowledge constructions, effective algorithms, and ordered binary selection diagrams (OBDDs) has confirmed very important in designing the pc chips of the next day to come. This ebook offers an advent to the rules of this interdisciplinary examine zone, emphasizing its purposes in desktop 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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