情報処理工学04資料 /infoeng04

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1. ৘ใॲཧ޻ֶ ୈ̐ճ
   ౻ా Ұण
   ެཱখদେֶอ݈ҩྍֶ෦ྟচ޻ֶՊ
   

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2. ը૾
   ը૾ͷσʔλྔͷܭࢉ͸Ϛελʔ͠Α͏ʂʂ
   

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3. ը૾ʹؔ͢Δجૅ஌ࣝ
   

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4. ը૾σʔλ
   • ը૾͸খ͞ͳਖ਼ํܗͷू·ΓͰදݱ͞ΕΔɽ
   • ͜ͷਖ਼ํܗ͸֨ࢠঢ়ʹฒΜͰ͍Δɽ
   • ͜ͷਖ਼ํܗͷ͜ͱΛըૉ΋͘͠͸ϐΫηϧͱݺͿɽ
   • ֤ըૉ͸৭৘ใΛ͍࣋ͬͯΔɽ
   • ৭΋཭ࢄ஋Ͱද͞ΕΔɽ
   ըૉʢϐΫηϧʣ
   "σδλϧԽ
   

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5. ըૉ਺
   • ը૾ͷେ͖͞͸ըૉ਺ʢ૯ըૉ਺ʣͰදݱ͞ΕΔɽ
   • ը૾ͷըૉ਺͸ॎͷըૉ਺Yԣͷըૉ਺ͰܭࢉͰ͖Δɽ
   • ըૉ਺ = ॎͷըૉ਺×ԣͷըૉ਺
   • Լਤͷըૉ਺͸ɼॎԣͦΕͧΕըૉͳͷͰ
   • 8×8 = 64ըૉ
   ըૉ
   ըૉ
   

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6. ը૾ͷ཭ࢄԽ
   

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7. ը૾
   • ը૾͸৔ॴͱͦͷ৔ॴͷ৭ͷ̎ͭͷྔͰද͞ΕΔɽ
   ৭
   "
   ৔ॴ 𝑥
   𝑦
   

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8. ը૾ͷσδλϧԽ
   • ը૾Λσδλϧʹม׵͢ΔͨΊʹ͸཭ࢄԽ͢Δඞཁ͕͋Δɽ
   • ը૾ͷ৔ॴͱ৭Λ཭ࢄԽ͢Δ͜ͱͰɼը૾Λ཭ࢄԽ͢Δɽ
   • ৔ॴͷ཭ࢄԽΛඪຊԽʢαϯϓϦϯάʣͱ͍͏ɽ
   • ৭ͷ཭ࢄԽΛྔࢠԽͱ͍͏ɽ
   • ίϯϐϡʔλͰऔΓѻ͏ʹ͸཭ࢄԽͨ͠஋Λ̎ਐ਺ʹม׵͢Δඞཁ
   ͕͋Δɽ
   • ͜ͷ࡞ۀΛූ߸Խͱ͍͏ɽ
   ৭
   "
   ৔ॴ 𝑥
   𝑦
   

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9. ը૾ͷσδλϧԽͷྲྀΕ
   αϯϓϦϯά ྔࢠԽ
   ූ߸Խ
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   ྔࢠԽ
   "
   
   ৭΋཭ࢄԽ͞ΕΔ
   ৭͸·ͩ࿈ଓ஋
   ৭΋̎ਐ਺ʹͳΔ
   

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10. ඪຊԽ αϯϓϦϯά
    
    • ը૾Λ཭ࢄతͳྖҬʹ෼ׂ͢Δʢը૾ΛϐΫηϧͰ۠੾Δʣ͜ͱΛ
    ඪຊԽʢαϯϓϦϯάʣͱ͍͏ɽ
    • ͜ͷஈ֊Ͱ͸৭͸࿈ଓͷ஋ͷ··Ͱ͋Δɽ
    ඪຊԽ
    

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11. ྔࢠԽ
    • ඪຊԽ͞Εͨը૾͸ɼϐΫηϧ͝ͱʹ৭Λ཭ࢄ஋ʹ͞ΕΔɽ
    • ৭Λ཭ࢄ஋͢Δ͜ͱΛྔࢠԽͱ͍͏ɽ
    • ཭ࢄԽ͞Εͨ৭ͷ஋Λըૉ஋ͱݺͿɽ
    ྔࢠԽ
    

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12. άϨʔεέʔϧը૾
    

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13. άϨʔεέʔϧը૾ͱ৭਺
    • άϨʔεέʔϧը૾
    • ޫͷ໌҉ʢೱ୶ʣͷΈදݱͰ͖Δը૾ɽ
    • ໌҉Λ཭ࢄ஋Ͱද͢ɽ
    • ըૉʹ͖ͭ৭ʢ໌҉ʣΛද͢਺஋Λ̍ͭ࣋ͭɽ
    • ըૉ஋ͱݺͿɽ
    • දݱͰ͖Δ৭͸ͷ΂͖৐ݸ͋Δɽ
    • ӈਤͷྫͰ͸ന͔Βࠇ·Ͱͷ৭Λɼ?৭Ͱ৭Λදݱ͍ͯ͠Δɽ
    ֊ௐάϨʔεέʔϧ
    ෼ׂʢ཭ࢄԽʣ
    ඞͣ͠΋̎ͷ΂͖৐ݸͰ͋Δඞཁ͸ͳ͍ɽ
    ͔͠͠ɼͷ΂͖৐͸ίϯϐϡʔλͱ૬ੑ
    ͕ྑ͍ͷͰ̎ͷ΂͖৐ݸʹ͍ͯ͠Δɽ
    

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14. άϨʔεέʔϧը૾ͱ৭਺
    • άϨʔεέʔϧը૾
    • දݱͰ͖Δ৭ͷ਺Λ֊ௐͱݺͿɽ
    • ৭දͤΔ৔߹ɼ֊ௐ
    • ৭දͤΔ৔߹ɼ֊ௐ
    • ֊ௐ͸ϏοτɾόΠτͰ΋දͤΔɽ͜Ε͸৭ͷྔࢠԽϏοτ਺Ͱ΋͋Δɽ
    • ֊ௐ?֊ௐˠϏοτ
    • ֊ௐ?֊ௐˠϏοτόΠτ
    ֊ௐάϨʔεέʔϧ
    ෼ׂʹ֊ௐˠϏοτ
    ྟচ޻ֶߨ࠲ҩ༻৘ใॲཧ޻ֶ
    
    ͳƘ<… ͸ ­ E Ǒ× ƤŠ c 2j
    "p :
    gfl p :
    hfl
    2jG Ȱ ȵ˵˜aJ0•a]K
    p :
    ifm
    
    ਐ਺
    

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15. άϨʔεέʔϧը૾ͱըૉ஋
    "p :
    gfl p :
    hfl
    2jG Ȱ ȵ˵˜aJ0•a]K
    Op
    p
    p
    p
    ÉèƂŃĸ
    ʶ Mp
    p Îѕ
    ʷ U
    p p p
    ÎʡʨŃĸ
    p p p
    p :
    ifm
    ÉèƂŃĸŪË
    \^ jMO n`[Y jo
    p %p p p&p
    p % $p p%p
    p % "p p% p
    p %p p p'p
    p %Ap
    ÎѺŃĸ#
    \^ kM O ( D 3 *p op
    
    p %p
    p % $ p
    p
    ćј
    "p "p "p
    p %p
    p %p
    ྟচ޻ֶߨ࠲ҩ༻৘ใॲཧ޻ֶ
    
    ֊ௐͷͱ͖നΛɼࠇΛʹׂΓ౰ͯΔ͜ͱ͕ଟ͍ɽ
    
    

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16. άϨʔεέʔϧը૾ͱσʔλྔ
    • άϨʔεέʔϧը૾ͷσʔλྔ͸࣍ͷࣜͰද͞ΕΔɽ
    • ը૾ͷσʔλྔʹըૉ਺ Yըૉ͋ͨΓͷσʔλྔ
    • ըૉ͋ͨΓͷσʔλྔ͸֊ௐΛϏοτͰදͨ͠΋ͷʹͳΔɽ
    • ྫ͑͹ɼ֊ௐͷͱ͖ɼͭͷ৭Λਐ਺Ͱද͞ͳ͚Ε͹ͳΒͳ͍ɽ
    • छྨͷਐ਺Λ࡞ΔͨΊʹ͸ɼগͳ͘ͱ΋ਐ਺͸ܻͰͳ͚Ε͹ͳΒͳ
    ͍ɽ
    • Αͬͯɼ֊ௐͷ৭Λදݱ͢Δʹ͸Ϗοτͷσʔλྔ͕ඞཁͰ͋Δɽ
    • ͜Ε͸ɼ֊ௐΛͷO৐Ͱදͨ͠ͱ͖ͷOͱ౳͍͠ʢ֊ௐ?֊ௐˠϏ
    οτʣɽ
    • Լਤ͕৭ʢ֊ௐʣͰද͞ΕΔάϨʔεέʔϧը૾ͳΒ
    • 8×8×3 = 192Ϗοτ = 24όΠτ
    ըૉ਺ ըૉ͋ͨΓͷσʔλྔʢ֊
    ௐΛϏοτͰදͨ͠΋ͷʣ
    

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17. ԋश
    • ըૉ਺͕YͷϞϊΫϩը૾Λஈ֊ͷೱ౓Ͱදࣔ͢Δ
    ͨΊʹඞཁͳσʔλྔΛ౴͑Αɽͨͩ͠ɼѹॖ͸͍ͯ͠ͳ͍ͱ͢Δ
    ʢୈճࠃՈࢼݧվʣ
    ըૉ਺Λܭࢉ͢Δɽ
    ըૉ͋ͨΓͷσʔλྔΛܭࢉ͢Δɽ
    ըૉ਺ͱըૉ͋ͨΓͷσʔλྔΛ͔͚Δɽ
    

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18. ԋश
    • ըૉ਺͕YͷϞϊΫϩը૾Λஈ֊ͷೱ౓Ͱදࣔ͢Δ
    ͨΊʹඞཁͳσʔλྔΛ౴͑Αɽͨͩ͠ɼѹॖ͸͍ͯ͠ͳ͍ͱ͢Δ
    ʢୈճࠃՈࢼݧվʣ
    ըૉ਺Λܭࢉ͢Δɽ
    ըૉ͋ͨΓͷσʔλྔΛܭࢉ͢Δɽ
    ըૉ਺ͱըૉ͋ͨΓͷσʔλྔΛ͔͚Δɽ
    Yըૉ
    ?ˠϏοτ
    YϏοτ
    .Ϗοτ
    LόΠτ
    

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19. 3(#Χϥʔը૾ͱ৭
    

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20. ޫͷࡾݪ৭
    • ̏छྨͷ৭Λ༷ࠞͥͯʑͳ৭ʢޫʣΛͭ͘ΔʢՃ๏ࠞ৭ʣɽ
    • ਓ͸੺ɼ྘ɼ੨ͷ৭Λଊ͑ΔηϯαΛ࣋ͭͨΊɼ੺ɼ྘ɼ੨Λࠞͥ
    ͯ৭Λͭ͘Δɽ
    • ޫ͸ࠞͥΔ͜ͱͰɼനʹۙͮ͘ɽ
    • ੺ɼ྘ɼ੨Λޫͷࡾݪ৭ͱ͍͏ɽ
    • ੺ɼ྘ɼ੨ͷӳޠͷ಄จࣈ͔Β
    3(#Χϥʔͱݺ͹ΕΔɽ
    

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21. ڭཆɿന͍ޫͱ͸
    • ͢΂ͯͷ೾௕ͷՄࢹޫઢΛۉ౳ʹؚΉޫɽ
    • సͯ͡ɼ͢΂ͯͷ೾௕ΛؚΉϊΠζͷ͜ͱΛന৭ࡶԻʢXIJUF
    OPJTFʣͱ͍͏ɽ
    

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22. Χϥʔը૾ͷߏ੒
    3(#
    ըૉΛ֦େ
    ʢ࣮ࡍʹσΟεϓϨΠ
    Λ֦େ͢Δͱ̍ըૉʹ
    ͖ͭ̏৭ݟ͑Δʣ
    3ɼ(ɼ#ͦΕͧΕͷً౓Λද͢ը૾͕͋Δɽ
    ͦΕΒΛಉ࣌ʹදࣔ͢ΔͱΧϥʔը૾ʹͳΔɽ
    ࣮ࡍͷσΟεϓϨΠͰ͸ըૉ͝ͱʹ
    3(#ͦΕͧΕʹޫΔϥΠτ͕ຒΊࠐ
    ·Ε͓ͯΓɼ3(#ͦΕͧΕʹରԠ͢
    Δը૾Λಉ࣌ʹද͍ࣔͯ͠Δɽ
    ࣮ࡍͷ࢓૊Έ͸΋ͬͱෳࡶɽ
    

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23. 3(#Χϥʔը૾ͱ৭਺
    • ੺ɼ྘ɼ੨ʢ 3(#ʣͷ૊Έ߹ΘͤͰ৭Λදݱ͢Δɽ
    • 3 ( #ͦΕͧΕͷೱ୶Λ਺஋Ͱද͢ɽ
    • ֤৭ͷදݱͰ͖Δೱ୶ͷ਺Λ֊ௐͱݺͿɽ
    • 3(#֤৭ͭͷೱ୶Ͱද͢ʢஈ֊Ͱද͢ʣͱ͖ɼ3(#ͦΕͧΕ֊ௐͰද
    ݱ͞Ε͍ͯΔͱ͍͏ɽ
    • Ұ෦ͷྫ֎Λআ͖ɼදݱͰ͖Δ৭͸ ֤৭ͷ֊ௐ
    ?ݸ͋Δɽ
    • 3(#ͦΕͧΕ֊ௐͰද͢৔߹ɼදݱͰ͖Δ৭਺͸ɼ
    • ?৭
    • 3(#ͦΕͧΕ֊ௐͰද͢৔߹ɼදݱͰ͖Δ৭਺͸ɼ
    • ?໿ສ৭
    3(#
    ըૉΛ֦େ
    ʢ࣮ࡍʹσΟεϓϨΠ
    Λ֦େ͢Δͱ̍ըૉʹ
    ͖ͭ̏৭ݟ͑Δʣ
    

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24. 3(#Χϥʔը૾ͱ৭਺
    • දݱͰ͖Δ৭਺͸ϏοτɾόΠτͰ΋දͤΔɽ
    • ͜Ε͸৭ͷྔࢠԽϏοτ਺Ͱ͋Δɽ
    • ? ?
    ??৭ˠϏοτ
    • ? ?
    ??৭ˠϏοτόΠτ
    • ৭਺͸༷ʑͳݴ͍ํ͕Ͱ͖Δɽ
    • 3(#ͦΕͧΕ৭ʢ֊ௐʣ
    • 3(#ͦΕͧΕϏοτ
    • ϏοτΧϥʔ
    • ৭3(#
    3(#
    ըૉΛ֦େ
    ʢ࣮ࡍʹσΟεϓϨΠ
    Λ֦େ͢Δͱ̍ըૉʹ
    ͖ͭ̏৭ݟ͑Δʣ
    

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25. 3(#Χϥʔ ը૾ͱσʔλྔ
    • 3(#Χϥʔը૾ͷσʔλྔ͸
    • ը૾ͷσʔλྔʹըૉ਺ Yըૉ͋ͨΓͷσʔλྔ
    • ըૉ͋ͨΓͷσʔλྔ͸3(#֤৭ͷ֊ௐ਺ΛϏοτͰදͨ͠΋ͷʢྔࢠ
    ԽϏοτ਺ʣͷ૯࿨ͳͷͰ
    • ը૾ͷσʔλྔʢϏοτʣʹըૉ਺ Y3(#֤৭ͷྔࢠԽϏοτ਺ͷ૯࿨
    • 3(#֤৭ͷྔࢠԽϏοτ਺͕ಉ͡ͳΒ
    • ը૾ͷσʔλྔʢϏοτʣʹըૉ਺ Y3(#֤৭ͷྔࢠԽϏοτ਺ Y
    • ӈਤ͕৭Ͱද͞ΕΔը૾ͳΒ
    • YYϏοτόΠτ
    ըૉ਺ ըૉ͋ͨΓͷσʔλྔʢ֊
    ௐΛϏοτͰදͨ͠΋ͷʣ
    512 = 2! → 9Ϗοτ
    

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26. ԋश
    • 3(#֤৭ΛCJUͰྔࢠԽͨ͠ॎըૉɼԣըૉͷը૾ͷ
    σʔλྔΛCZUFͰ౴͑Αɽͨͩ͠ɼը૾ͷѹॖ΍ϔομ৘ใͷ෇
    Ճ͸ͳ͍΋ͷͱ͢ΔɽʢୈճࠃՈࢼݧվʣ
    ըૉ਺Λܭࢉ͢Δɽ
    ̍ըૉ͋ͨΓͷσʔλྔΛܭࢉ͢Δɽ
    ըૉ਺ͱ̍ըૉ͋ͨΓͷσʔλྔΛ͔͚Δɽ
    

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27. ԋश
    • 3(#֤৭ΛCJUͰྔࢠԽͨ͠ॎըૉɼԣըૉͷը૾ͷ
    σʔλྔΛCZUFͰ౴͑Αɽͨͩ͠ɼը૾ͷѹॖ΍ϔομ৘ใͷ෇
    Ճ͸ͳ͍΋ͷͱ͢ΔɽʢୈճࠃՈࢼݧվʣ
    ըૉ਺Λܭࢉ͢Δɽ
    ̍ըૉ͋ͨΓͷσʔλྔΛܭࢉ͢Δɽ
    ըૉ਺ͱ̍ըૉ͋ͨΓͷσʔλྔΛ͔͚Δɽ
    Yըૉ
    ϏοτYϏοτόΠτ
    YόΠτόΠτ
    .όΠτ
    

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28. ը૾ϑΝΠϧͷܗࣜ
    

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29. ը૾ͷछྨ
    • ϥελʔը૾ʢϐΫηϧը૾ʣ
    • զʑ͕ීஈͷੜ׆Ͱ৮ΕΔը૾ϑΝΠϧͷ΄ͱΜͲ͕ϥελʔը૾ɽ
    • ը૾ΛըૉʢϐΫηϧʣͰදݱ͢Δɽ
    • ը૾ॲཧͰऔΓѻ͏جຊతͳը૾ɽ
    • ֦େॖখ͢Δͱը૾͕ߥ͘ͳΔɽ
    • ϕΫλʔը૾
    • ը૾Λ఺ͱͦΕΛ݁Ϳઢ΍໘ͷํఔࣜͷύϥϝλͰද͢ɽ
    • ֦େॖখΛͯ͠΋ը૾͕ߥ͘ͳΒͳ͍ɽ
    • ྫ͑͹ύϫʔϙΠϯτͷਤܗ
    

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30. ϥελʔը૾ͷϑΝΠϧܗࣜ
    • 8JOEPXT#JUNBQ CNQ
    
    • جຊతʹແѹॖͰอଘ͢ΔͨΊɼϑΝΠϧαΠζ͕େ͖͘ͳΔɽ
    • +1&( +PJOU1IPUPHSBQIJD&YQFSUT(SPVQ
    
    • ඇՄٯѹॖͷͨΊɼը૾͸ѹॖ͞Εݩը૾ΑΓը࣭͕ྼԽ͢Δɽ
    • ੩ࢭը૾ͷओྲྀͳը૾ܗࣜɽ
    • ࣗવը૾ͷه࿥ʹ޲͍͍ͯΔɽ
    • 1/( 1PSUBCMF/FUXPSL(SBQIJDT
    
    • ՄٯѹॖͷͨΊɼը૾͸ѹॖ͞Ε͍ͯΔ͕ը࣭ʹྼԽ͕ͳ͍ɽ
    • ಁա౓ͷ৘ใ΋อଘͰ͖Δɽ
    • (*'
    • ৭ҎԼͷը૾Λѻ͏͜ͱ͕Ͱ͖Δɽ
    • ՄٯѹॖͷͨΊɼը૾͸ѹॖ͞Ε͍ͯΔ͕ը࣭ʹྼԽ͕ͳ͍ɽ
    • ৭Ҏ্ͷ৭Λ࣋ͭը૾Λ(*'ʹม׵͢Δͱ৭ʹͳͬͯ͠·͏ͨΊɼ৭਺ͷࢹ఺Ͱ͸
    ը࣭͕ྼԽ͢Δͱ͍͑Δɽ
    • Ξχϝʔγϣϯͷอଘ΋Ͱ͖Δɽ
    

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31. ϕΫλʔը૾
    • 47(
    • 8$ʹΑͬͯ։ൃ͞Εͨɽ
    • ΢Σϒͱ਌࿨ੑ͕ߴ͍ɽ
    • 1PTUTDSJQU
    • "EPCF4ZTUFNTʹΑΓ։ൃ͞Εͨϖʔδهड़ݴޠɽ
    

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32. ಈըϑΝΠϧܗࣜ
    • .1&( NQH NQFH
    
    • ಈըΛѹॖͯ͠อଘ͢Δܗࣜɽ
    • ϏσΦ$%ͳͲͰར༻͞ΕΔɽ
    • .1&(
    • ςϨϏ์ૹɼ%7%ͳͲͷϏσΦίϯςϯπͳͲͷͰར༻͞ΕΔɽ
    • .1&( NQ
    
    • ௿଎ճઢ΍อଘྖҬͷগͳ͍ϋʔυ΢ΣΞͰ࢖༻ɽ
    

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33. ԋश
    • ੩ࢭը૾ʹ࢖ΘΕΔϑΥʔϚοτ͸ͲΕ͔ɻ ୈճྟচ޻ֶٕ࢜
    ࠃՈࢼݧ
    ̰ɽ"4$**̱ɽ+1&(̲ɽ1/(̳ɽ.1&(̴ɽ6OJDPEF
    ̰ɺ̱
    ̰ɺ̴
    ̱ɺ̲
    ̲ɺ̳
    ̳ɺ̴
    

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34. ԋश
    • ੩ࢭը૾ʹ࢖ΘΕΔϑΥʔϚοτ͸ͲΕ͔ɻ ୈճྟচ޻ֶٕ࢜
    ࠃՈࢼݧ
    ̰ɽ"4$**ʢจࣈίʔυʣ ̱ɽ+1&(̲ɽ1/(
    ̳ɽ.1&(ʢಈըϑΥʔϚοτʣ ̴ɽ6OJDPEFʢจࣈίʔυʣ
    ̰ɺ̱
    ̰ɺ̴
    ̱ɺ̲
    ̲ɺ̳
    ̳ɺ̴
    

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35. ԋश
    • σʔλѹॖʹ͍ͭͯޡ͍ͬͯΔͷ͸ͲΕ͔ɽʢୈճྟচ޻ֶٕ
    ࢜ࠃՈࢼݧʣ
    ඇՄٯతͳॲཧ΋σʔλѹॖͰ͋Δɽ
    ओͳ໨త͸هԱ༰ྔͷઅ໿Ͱ͋Δɽ
    ѹॖ͞Εͨը૾͸ݪը૾ΑΓ΋ߴਫ਼ࡉͰ͋Δɽ
    Ի੠৴߸ΛѹॖͰ͖Δɽ
    ಈըσʔλΛѹॖͰ͖Δɽ
    

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36. ԋश
    • σʔλѹॖʹ͍ͭͯޡ͍ͬͯΔͷ͸ͲΕ͔ɽʢୈճྟচ޻ֶٕ
    ࢜ࠃՈࢼݧʣ
    ඇՄٯతͳॲཧ΋σʔλѹॖͰ͋Δɽ
    ओͳ໨త͸هԱ༰ྔͷઅ໿Ͱ͋Δɽ
    ѹॖ͞Εͨը૾͸ݪը૾ΑΓ΋ߴਫ਼ࡉͰ͋Δɽ
    Ի੠৴߸ΛѹॖͰ͖Δɽ
    ಈըσʔλΛѹॖͰ͖Δɽ
    ը૾Λѹॖ͢Δͱɼݩը૾ͱಉ͔͡ɼ΋͘͠͸ྼԽͨ͠ը૾ʹͳΓ·͢ɽ
    

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