おうちでKMP法 - Speaker Deck

おうちでKMP法

by akht

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4UBZ)PNF ஑ాতਔ(.01FQBCP *OD ࣛࣇౡNL ͓͏ͪͰ,.1๏

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ΤϯδχΞ ஑ాতਔ!BLIU@JLE $50ࣨࣛࣇౡΦϑΟενʔϜ BLIUJLEDPN

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"#$ͷதʹ#͸ؚ·Ε͍ͯ·͔͢ʁ 2

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"#$ͷதʹ#͸ؚ·Ε͍ͯ·͔͢ʁ " ౴͑ɿ:FT "#$

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""#"##"#"#$"# ͷதʹ "#"#$" ͸ؚ·Ε͍ͯ·͔͢ʁ 2

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" ౴͑ɿ:FT ""#"##"#"#$"# ""#"##"#"#$"# ͷதʹ "#"#$" ͸ؚ·Ε͍ͯ·͔͢ʁ

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""#"##"#$"$"# ͷதʹ "#"#$" ͸ؚ·Ε͍ͯ·͔͢ʁ 2

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" ౴͑ɿ/P ""#"##"#$"$"# ""#"##"#$"$"# ͷதʹ "#"#$" ͸ؚ·Ε͍ͯ·͔͢ʁ

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͜ΕΛ൑ఆ͢Δ͜ͱΛߟ͑Δ จࣈྻQBUUFSO͕ɺݕࡧର৅จࣈྻUFYUͷ ͲͷҐஔʹଘࡏ͢Δ͔Λݟ͚ͭΔ

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ํ๏ɿྗ·͔ͤ๏

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ྗ·͔ͤ๏ A A B A B B A B A B C A B A B A B C A A B A B C A A B A B C A A B A B C A A B A B C A A B A B C A A B A B C A 5FYU 1BUUFSO ! ! ! ! ! ! "" ❌ ❌ ❌ ❌ ❌ ❌

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ྗ·͔ͤ๏ wૉ๿ͳํ๏ w UFYU ""#"##"#"#$"# ͱQBUUFSO "#"#$" ͷઌ಄͔Βจࣈͣͭൺֱ w QBUUFSOͷશͯʹҰகͨ͠ΒऴྃɺෆҰக͕֬ఆͨ͠Βଧͪ੾ͬͯUFYUͷ࣍ͷҐஔ͔Βൺ ֱΛ։࢝ w UFYUͷจࣈྻ௕ºQBUUFSOͷจࣈྻ௕ ճͷൺֱ͕ඞཁ ࠷ѱ w࠷ѱܭࢉྔɿ0 /. wΘ͔Γ΍͍͚͢Ͳखॱʹ͸ແବ͕͋Δʢແବͱ͸ʁ‎ʣ

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ྗ·͔ͤ๏ A A B A B B A B A B C A B A B A B C A A B A B C A ˢ͜͜ͰෆҰகͩͬͨͱ͖ A B A B C A ˢUFYUͷ։࢝ҐஔΛจࣈͣΒͯ͠ ɹ·ͨQBUUFSOͷઌ಄͔ΒൺֱΛ࠶։͢Δͷ͸ແବͰ͸ʁ ɹUFYUͷΠϯσοΫε͕ޙ໭Γͯ͠͠·ͬͯΔ ˢઌ಄ͷ"#͕Ϛον͢Δͷ͸Θ͔Γ͖ͬͯΔΜ͔ͩΒ ɹ͔͜͜ΒൺֱΛ࠶։ͨ͠Β͍͍͡ΌΜ‎,.1๏ ❌

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ํ๏ɿ,.1๏ ΫψʔεrϞϦεrϓϥοτ๏ʢ,OVUIr.PSSJTr1SBUUBMHPSJUIN

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,.1๏ wจࣈҐஔΛεΩοϓͯ͠ແବΛল͘ wQBUUFSOจࣈྻ͔ΒͣΒ͠දͱ͍͏΋ͷΛ࡞Δ wUFYUͱQBUUFSOͷෆҰக͕ى͖ͨͱ͖ɺ࣍ʹQBUUFSOจࣈྻͷͲͷҐ ஔ͔ΒൺֱΛ࠶։͢Δ͔ΛͣΒ͠දΛΈܾͯΊΔ wUFYUͷΠϯσοΫε͸ޙ໭Γͤ͞ͳ͍ A B A B C A 0 0 1 2 0 1

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,.1๏ A A B A B B A B A B C A B A B A B C A ˢ͜͜ͰෆҰகͩͬͨͱ͖ͣΒ͠දΛΈΔ ͻͱͭલͷ#ͷ਺ࣈΛݟΔ A B A B C A ˢͣΒ͠ද͕ͳͷͰΠϯσοΫε͕ͷҐஔ͔Βൺֱ࠶։ ɹ͜ͷ࣌ɺUFYUͷΠϯσοΫε͸ޙ໭Γͯ͠ͳ͍ʂ A B A B C A 0 0 1 2 0 1 ❌

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,.1๏ A A B A B B A B A B C A B A B A B C A A B A B C A A B A B C A A B A B C A 5FYU 1BUUFSO ! ! ! "" ❌ ❌ ❌ A B A B C A 0 0 1 2 0 1

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ྗ·͔ͤ๏ ൺֱ༻ A A B A B B A B A B C A B A B A B C A A B A B C A A B A B C A A B A B C A A B A B C A A B A B C A A B A B C A 5FYU 1BUUFSO ! ! ! ! ! ! "" ❌ ❌ ❌ ❌ ❌ ❌

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,.1๏ wQBUUFSOจࣈྻͷͣΒ͠දͱ͸ͳΜͳͷ͔ʁ wͦͷจࣈ࣌఺Ͱɺ௚લͷαϒจࣈྻ͕ઌ಄͔ΒͷαϒจࣈྻͱҰக͢ Δ௕͞ wཁ͢Δʹɺ͢Ͱʹग़͖ͯͨ΋ͷ͔Ͳ͏͔Λه࿥͓ͯ͘͠ w࠷ѱܭࢉྔɿ0 /. ʢ/දߏங .UFYUͷ௕͞ʣ A B A B C A 0 0 1 2 0 1

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ͣΒ͠දͷ࡞੒ ݕࡧ

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ޮ཰Α͘Ͱ͖ͯΊͰͨ͠ʂ Ͱ͸ͳ͍

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࣮༻্ͷ࿩ wྗ·͔ͤ๏ɿ0 /. ɺ,.1๏ɿ0 /. ͱ͍͏ͷ͸࠷ѱέʔεͷ࿩ wྗ·͔ͤ๏͕஗͍ͷ͸ዞҙతͳέʔε wUFYUBBBBBBBBBBBBBBBBBBBBBBC QBUUFSOBBBBBBCΈ͍ͨͳ wQBUUFSOͷ࠷ޙ·Ͱݟͳ͍ͱ൑அͰ͖ͳ͍Α͏ͳ΋ͷ w࣮༻্͸࠷ॳͷ਺จࣈͰෆҰகʹͳΔͷͰ0 / ͱΈͳͤΔ wͭ·Γ࣮༻্͸ྗ·͔ͤ๏ͷ΄͏͕଎͍ ,.1๏͸ཧ࿦తʹॏཁ

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จࣈྻݕࡧΞϧΰϦζϜ wྗ·͔ͤ๏ɺ,.1๏Ҏ֎ʹ΋৭ʑ͋Δ w#.๏ʢϘΠϠʔϜʔΞ๏ʣཧ࿦తʹ΋࣮༻తʹ΋༏ΕΔ wΤΠϗrίϥγοΫ๏ wϥϏϯΧʔϓ๏ wͳͲ w࣍ճ͸#.๏ʹ͍ͭͯ࿩͠·͢ʂ̍