おうちでKMP法

Transcript

1. 1.

   4UBZ)PNF ஑ాতਔ
   
   (.0
   1FQBCP
   *OD
   
   ࣛࣇౡNL ͓͏ͪͰ,.1๏

2. 2.

   ΤϯδχΞ ஑ాতਔ
   !BLIU@JLE $50ࣨࣛࣇౡΦϑΟενʔϜ BLIUJLEDPN

3. 3.

   "#$ͷதʹ#͸ؚ·Ε͍ͯ·͔͢ʁ 2

4. 4.

   "#$ͷதʹ#͸ؚ·Ε͍ͯ·͔͢ʁ " ౴͑ɿ:FT "#$

5. 5.

   ""#"##"#"#$"#
   ͷதʹ
   "#"#$"
   ͸ؚ·Ε͍ͯ·͔͢ʁ 2

6. 6.

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

7. 7.

   ""#"##"#$"$"#
   ͷதʹ
   "#"#$"
   ͸ؚ·Ε͍ͯ·͔͢ʁ 2

8. 8.

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

9. 9.

   ͜ΕΛ൑ఆ͢Δ͜ͱΛߟ͑Δ จࣈྻQBUUFSO͕ɺݕࡧର৅จࣈྻUFYUͷ
   ͲͷҐஔʹଘࡏ͢Δ͔Λݟ͚ͭΔ

10. 10.

    ํ๏ɿྗ·͔ͤ๏

11. 11.

    ྗ·͔ͤ๏ 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 ! ! ! ! ! ! "" ❌ ❌ ❌ ❌ ❌ ❌
12. 12.

    ྗ·͔ͤ๏ wૉ๿ͳํ๏
    w UFYU ""#"##"#"#$"# ͱQBUUFSO "#"#$" ͷઌ಄͔Βจࣈͣͭൺֱ
    w QBUUFSOͷશͯʹҰகͨ͠ΒऴྃɺෆҰக͕֬ఆͨ͠Βଧͪ੾ͬͯUFYUͷ࣍ͷҐஔ͔Βൺ

    ֱΛ։࢝
    w UFYUͷจࣈྻ௕
    º
    QBUUFSOͷจࣈྻ௕ ճͷൺֱ͕ඞཁ ࠷ѱ
    w࠷ѱܭࢉྔɿ0 /.
    wΘ͔Γ΍͍͚͢Ͳखॱʹ͸ແବ͕͋Δʢແବͱ͸ʁ‎ʣ
13. 13.

    ྗ·͔ͤ๏ 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๏ ❌
14. 14.

    ํ๏ɿ,.1๏ ΫψʔεrϞϦεrϓϥοτ๏ʢ,OVUIr.PSSJTr1SBUU
    BMHPSJUIN

15. 15.

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

    C A 0 0 1 2 0 1
16. 16.

    ,.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 ❌
17. 17.

    ,.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
18. 18.

    ྗ·͔ͤ๏ 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 ! ! ! ! ! ! "" ❌ ❌ ❌ ❌ ❌ ❌
19. 19.

    ,.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
20. 20.

    ͣΒ͠දͷ࡞੒ ݕࡧ

21. 21.

    ޮ཰Α͘Ͱ͖ͯΊͰͨ͠ʂ
    Ͱ͸ͳ͍

22. 22.

    ࣮༻্ͷ࿩ wྗ·͔ͤ๏ɿ0 /. ɺ,.1๏ɿ0 /
    
    . ͱ͍͏ͷ͸࠷ѱέʔεͷ࿩
    wྗ·͔ͤ๏͕஗͍ͷ͸ዞҙతͳέʔε
    wUFYU
    BBBBBBBBBBBBBBBBBBBBBBC
    QBUUFSO
    BBBBBBC
    Έ͍ͨͳ
    

    wQBUUFSOͷ࠷ޙ·Ͱݟͳ͍ͱ൑அͰ͖ͳ͍Α͏ͳ΋ͷ
    w࣮༻্͸࠷ॳͷ਺จࣈͰෆҰகʹͳΔͷͰ
    0 /
    ͱΈͳͤΔ
    wͭ·Γ࣮༻্͸ྗ·͔ͤ๏ͷ΄͏͕଎͍
    ,.1๏͸ཧ࿦తʹॏཁ
23. 23.

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