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実践してわかったPython&深層強化学習

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June 30, 2018

 実践してわかったPython&深層強化学習

PyCon Kyushu 2018で発表してきた内容

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Aipa

June 30, 2018
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  1. ࣗݾ঺հ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL. •

    ΞΠύʔୂ௕ʢ͍͋ͺʔ͍ͨͪΐ͏ʣ • ਌͔Β΋Β໊ͬͨલ͸ۄ৓Ұຏʢͨ·͠Ζ͔ͣ·ʣ • ͏·Ε΋ҭͪ΋ԭೄݝͰౡਓͰ͢ • 1ZUIPOͱϥʔϝϯ಼ͱΰδϥͱՇʢ̏࣍ݩʣ͕޷͖Ͱ͢ • Α͘ࡀʹݟΒΕ·͕͢ࠓ೥ͰࡀͰ͢ • ͔ͤͬ͘ొஃ͢ΔͷͰɺ͓͠ΌΕͳͱ͜ΖͰࢄ൅͠·ͨ͠ • ηοτͷ࢓ํ͕Θ͔ΒͣɺՇʹʮՏಐͰ͔͢ʁʯͱݴΘ·ͨ͠ • ͪΎΒσʔλגࣜձࣾ • 1Z%BUB0,JOBXB ڞಉΦʔΨφΠβʔ
  2.  © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL. ͓࿩͢Δ͜ͱ

    • ਂ૚ڧԽֶशͱ͸ʁ • ࣮ફͯ͠Θ͔ͬͨ1ZUIPOਂ૚ڧԽֶश • ڧԽֶश͢Δ؀ڥʹ͍ͭͯ • ·ͱΊ
  3. 2ֶश • ڧԽֶशͷख๏ͷ̍ͭ • ͋Δঢ়ଶͷͱ͖ɺ͋ΔߦಈΛબ୒͢ΔՁ஋ɺ2஋Λֶश͢Δํ๏ • 2ؔ਺͸ςʔϒϧࣜʹߋ৽͍ͯ͘͠ͷͰཧղ͠΍͍͢ © 2018 Chura

    DATA inc. PROPRIETARY & CONFIDENTIAL. s1 s3 s4 s2 /  s1 s2 s3 s4 s1 0 -10 0 - s2 0 0 - 100 s3 0 - 0 100 s4 - 0 0 0
  4. %2/ • %FFQ2/FUXPSLͷུ • 2ؔ਺͕ਂ૚ֶशʹஔ͖׵Θ͚ͬͨͩͰ͸ͳ͘ɺֶश͕͏·͘Ͱ͖ΔΑ͏ͳ޻ ෉͕͋Δ • &YQFSJFODF3FQMBZ • ঢ়ଶɺߦಈɺใुɺ࣍ͷঢ়ଶΛϝϞϦ΁อଘ͢Δ

    αϯϓϦϯάֶͯ͠श͢Δ • 'JYFE5BSHFU2/FUXPSL • ਂ૚ֶशʹ͸ਖ਼ղσʔλ͕ඞཁ %2/ͷ৔߹ɺ2ؔ਺Λίϐʔͯ͠ڭࢣϥϕϧͱͯ͠ѻ͍ͬͯΔ • ͔͠͠ɺຖճίϐʔ͢Δͱ͖ͬ͞͸ڭࢣϥϕϧ͕"ͩͬͨͷʹɺ#ʹͳͬͨɻͷΑ͏ʹਖ਼ղ͕҆ఆ͠ͳ͍͜ ͱ͕ى͜Δ • ͦ͜ͰɺڭࢣϥϕϧΛग़ྗ͢Δ2ؔ਺͸ҰఆͷظؒͰߋ৽͢Δ͜ͱͰֶशΛ҆ఆͤ͞Δ • ใुͷDMJQQJOH • ใुΛෛͳΒ—ɺਖ਼ͳΒ ɺͳ͠͸Ͱݻఆ • ֶश͕ਐΈ΍͘͢ͳΔ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  5. ࢀߟॻ੶ɾهࣄ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL. •

    ڧԽֶश • ͜Ε͔ΒͷڧԽֶश • θϩ͔Β%FFQ·ͰֶͿڧԽֶश • ਂ૚ڧԽֶशͷಈ޲
  6. ͓࢓ࣄ֓ཁ • ؀ڥ • ςτϦε • 7VFKTͰಈ͍͍ͯ·͢ • ॎ Y

    ԣͷςτϦε • 1ZUIPOͱͷ΍ΓऔΓ͸ 4FMFOJVNΛ࢖͏ • ΞϧΰϦζϜ • %2/ʢ%PVCMF%2/ʣ • ਂ૚ֶशͷϑϨʔϜϫʔΫ • ,FSBT SMΛ࢖͍·͢ • ը૾͔ͩΒ$//ͩͳʂ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  7. Ͳ͏ͯ͠͏·͍͔͘ͳ͍ͷ͔ʁ • ใुΛ΋Β͏·Ͱʹଟ͘ͷح੻͕ඞཁ • ֶशελʔτ࣌ɺϞσϧ͸͜ͷήʔϜ͕Ͳ͏͍͏ήʔϜ͔Θ͔Βͳ͍͠ɺͲ͏͍͏ํ๏Ͱ ใु͕ಘΒΕΔͷ͔Θ͔Βͳ͍ • ςτϦε͸ԣ̍ྻͷϚεΛຒΊΔ͜ͱͰใु͕ಘΒΕΔ • ຒΊํΛϛεͬͯ͠·͏ͱଞϒϩοΫ͕अຐʹͳΔͷͰ೉қ౓͕͞Βʹߴ͘ͳΔ

    • ຒΊํΛϛεΒͣɺԣ̍ྻͷϚεΛ࠷୹ͰຒΊΔαϯϓϧ͕ඞཁ • ͜ͷྲྀΕΛϥϯμϜʹ୳ࡧ͠Έ͚ͭΔʹ͸ح੻͕ඞཁ • ςτϦεͷঢ়ଶ਺͸ΊͬͪΌଟ͍ • ?   F  • ਂ૚ֶशͱ͍͑Ͳɺ޻෉͠ͳ͚Ε͹ֶशʹ͕͔͔࣌ؒΔ • ͍͔ͭ͸ऩଋ͢Δ͕ɺདྷिʹ͸ਐ௙ใࠂ͕͕͕ • ਂ૚ֶशͳͷͰɺֶशʹྑ͍αϯϓϧ͕ଟ͘ඞཁ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  8. Ͳ͏ͯ͠͏·͍͔͘ͳ͍ͷ͔ʁ • ϋΠύʔύϥϝʔλଟ͗͢໰୊ • ୳͖͠Ε͍ͯͳ͍Մೳੑ • ਂ૚ֶशͰ΋େมͳͷʹɺڧԽֶशͷύϥϝʔλ΋͋Δ • &YQFSJFODFSFQMZͷ஝ੵ্ݶ਺ •

    5BSHFUOFUXPSLߋ৽ස౓ • ୳ࡧͷׂ߹ • ༩͑Δใुͷ৚݅ͱॏΈ෇͚ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  9. Ͳ͏͢Ε͹͍͍ΜͩΖ͏ʁ • ໰୊Λղܾ͢ΔͨΊͷԾઆΛ༻ҙ͢Δ ԾઆΛ֬ೝ͢ΔͨΊख๏Λ༻ҙ͠ݕ ূͯ͠ΈΔ • ใुΛ΋Β͏·Ͱʹଟ͘ͷح੻͕ඞཁ • ήʔϜ͕೉͍͠ͷͳΒ؆୯ʹ͢Ε͹͍͍Μ͡Όͳ͍ʁ •

    ঢ়ଶ͕ଟ͗͢໰୊ • ϒϩοΫ͕ຒ·͍ͬͯΔ͔ຒ·͍ͬͯͳ͍͔͸ը૾͡Όͳͯ͘΋ྑ͍͸ͣɻ< >ʹ͢ΔલॲཧΛڬΉͷ͸Ͳ ͏Ͱ͠ΐʁ • ঢ়ଶ਺ΛݮΒ͢ΞϧΰϦζϜΛ࢖͑͹࣌ؒ୹ॖʹ΋ͭͳ͕ΔͷͰ͸ʁ • ϋΠύʔύϥϝʔλଟ͗͢໰୊ • ύϥϝʔλ୳ࡧʢखಈʣΛߦ͏ • ݁ՌΛ֬ೝ͢Δ͜ͱͰύϥϝʔλͷൺֱ͕Ͱ͖Δ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  10. ΧϦΩϡϥϜֶश • ࣮ࡍʹࣗ෼ͰϓϨΠͯ͠ΈΔ • ೉қ౓Λҙࣝͯ͠ϓϨΠͯ͠ΈΔͱྑ͍ • ೉қ౓Λམͱ͢ • Ұ౓ʹ͢΂ͯΛ୳ࡧͤ͞ΔͷͰ͸ͳ͘ɺ೉қ౓Λ༻ҙ͢Δ •

    ϕϦʔΠʔδʔ • ελʔτ͔Β̕Ϛεຒ·͍ͬͯΔͱ͍͏ح੻ • ग़ݱ͢ΔϒϩοΫ͕͢΂ͯాͱcͱ͍͏ح੻ • ͨ·ͨ·ຒ·͍ͬͯͳ͍̍Ϛε͕ຒ·Δ ϥΠϯ͕ফ͑ͯใु͕΋Β͑Δ • ϕϦʔΠʔδʔ • ελʔτ͔Β̔Ϛεຒ·͍ͬͯΔͱ͍͏ح੻ • ग़ݱ͢ΔϒϩοΫ͕͢΂ͯాͱcͱʢSZ • ͨ·ͨ·ຒ·͍ͬͯͳ͍Ϛε͕ຒ·Δ ϥΠϯ͕ফ͑ͯ SZ • ϕϦʔΠ SZ • ͜ͷΑ͏ʹ؆୯ͳήʔϜ͔Βঃʑʹ೉қ౓Λ͋͛ɺ࠷ऴతʹ͸ήʔϜશମͰྑ ͍ղΛಘΒΕΔΑ͏͢Δֶशํ๏ΛɺΧϦΩϡϥϜֶशͱ͍͍·͢ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  11. લॲཧ • ը૾Λม׵͢Δ • 3(#ͷ৔߹ɺ    ͷ஋Λೖྗ͢Δ͜ͱʹͳΔ •

    ͔͜͜ΒϒϩοΫͷ༗Γແ͠Λཧղ͢Δʹ͸࣌ؒ͸͔͔Γͦ͏ • ͦ͜ͰɺલॲཧΛڬΉ͜ͱͰ< > ϒϩοΫͳ͠ ϒϩοΫ͋Γ ʹม׵ • ஫ҙ఺ͱͯ͠ɺ؀ڥʹػೳΛ௥Ճɾमਖ਼Ͱ͖Δ΋ͷͰͳ͍ͱ͜ͷํ๏͸࢖͑ͳ͍ʢΤϛϡϨʔλͰಈ ࡞ͨ͠ήʔϜ౳͸೉͍͠ • ݱࡏૢ࡞͍ͯ͠ΔϒϩοΫͷछྨ΍Ґஔ΋͍Εͯ΋ྑ͍ʢͱࢥΘΕΔ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL. [[0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0], [0,0,0,1,1,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0]]
  12. લॲཧׂ͕̕ • ͔֬ʹσΟʔϓϥʔχϯά͸ಛ௃ྔΛࣗಈͰ୳ͯ͘͠ΕΔ • ͚ͩͲɺ̍िؒޙʹ͸ଧͪ߹ΘͤͳΜͰ͢Α • ޮՌͷ͋Δ΋ͷΛઌʹ୳ͯ͠͠·͑͹ྑ͍ • ๻ͨͪͷ͓࢓ࣄ͸ϋΠύʔύϥϝʔλνϡʔχϯά৬ਓͰ͸ͳ͍ •

    σʔλͷத͔ΒՁ஋Λݟ͚ͭΔ͜ͱ • Ϟσϧ͸ѪΛ΋ͬͯஸೡʹҭͯΔ΂͖ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL. Ξ Π ύ ồ ୂ ௕ લ ॲ ཧ ͕ ̕ ׂ લ ॲ ཧ ͸ α Ϙ Β ͳ ͍ Ͱ ʂ ʂ ສ෦ ಥഁ   
  13. ϋΠύʔύϥϝʔλνϡʔχϯά • χϡʔϥϧωοτ • ΍ͬͨ͜ͱ͋ΔਓΘ͔Δͱࢥ͍·͕͢େมͰ͢ • ͻͨ͢ΒύϥϨϧͰ૸Βͤͯൺֱ͠·͠ΐ͏ • ύϥϝʔλ̍ɼύϥϝʔλ̎ɼύϥϝʔλ̏Λ༻ҙ •

    ྫ͑͹ɺશ݁߹ͩͱ%FOTF  ɺ%FOTF  %FOTF  Λ༻ҙ • ૸Βͤͯ TUFQ͙Β͍ͷ݁ՌΛൺֱ • ൺֱ͢Δ஋ʹ͍ͭͯ͸ήʔϜ΍Ϟσϧͷୡ੒໨ඪͳͲͰ༷ʑ • ୯७ʹΈΔͷͰ͋Ε͹τʔλϧͷใुͰ͓̺ • ύϥϝʔλʹ໊લΛ͚ͭͯ͋͛ΔͱѪண͕Θ͖·͢ • ౰࣌ɺ΅͘ͷϕετύϥϝʔλ͸ʮϚΩίʯͰͨ͠ • ޯ഑࠷దԽΞϧΰϦζϜɾֶश཰ • ·ͣ͸"EBNͷFͰྑ͍ͱࢥ͍·͢ • ֶशޙ൒ɺΧϦΩϡϥϜͷ૊ΈํͰ֮͑ͯ͜ͱΛ๨ΕΔʢॏΈ͕ফ͑Δʣ͜ͱ͕ൃੜ͢Δ ͷͰ ֶश཰Λখͯ͘͞͠ௐ੔͠·͢ɻ͔ͦ͠͠ͷ෼ֶश͸஗͘ͳΓ·͢ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  14. ϋΠύʔύϥϝʔλνϡʔχϯά ڧԽֶश • &YQFSJFODF3FQMBZ • ֶश͢ΔσʔλΛ஝ੵ͢Δػೳɻ஝ੵ͢Δ࠷େ਺Λௐ੔Ͱ͖Δ • جຊଟ͚Ε͹ଟ͍΄ͲΑ͍ • ͔͠͠ɺϝϞϦΛѹഭ͠ɺεϫοϓ͕ൃੜ͢Δͱֶश͕ಷ଍ʹɻαʔό࠶ىಈͰ͔͠ղܾͰ͖ͳ͘

    ͳͬͨΓ͢ΔͷͰ஫ҙ • 5BSHFUOFUXPSL • 2ؔ਺Λίϐʔ͢Δස౓Λௐઅ͢Δ͜ͱ͕Ͱ͖Δ • ͲΕ͘Β͍৽͍͠஋Λߋ৽͢Δ͔ௐઅ͢ΔιϑτΞοϓσʔτͱɺ·Δͬͱίϐʔ͢ΔϋʔυΞοϓσʔτ ͷख๏͕͋Δ • جຊ͸҆ఆࢤ޲ͳιϑτΞοϓσʔτͰྑ͍ͱࢥΘΕΔ • গͳ͍αϯϓϧͰ͙͢ʹֶश͍ͨ͠৔߹͸ɺස౓Λେ͖͘͢Ε͹ྑ͍ • ͨͩ͠ɺ௕ظͰֶश͢Δʹ͸ேྩ฻վ͗ͯ͢Α͘ͳ͍ͷͰ୹ظͰάϥϑΛݟͳ͕ΒֶशΛࢭΊΔ • ୳ࡧͷΞϧΰϦζϜ • FQTHSFFEZͰྑ͍͕ɺֶशTUFQ͕ਐΉʹ࿈ΕͯFQTͷ஋Λઢܗʹখ͘͢͞Δख๏ΛऔΔͱֶशޙ൒ ͷ୳ࡧͰֶश͕ऩଋ͍ͯ͠ΔͷʹϥϯμϜͰಈ͍ͯ͠·͏σϝϦοτΛݮΒͤ·͢ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  15. ใुઃܭ • ͱΓ͋͑ͣɺήʔϜ͕ऴྃͨ͠Β ϥΠϯΛফͨ͠Β ͠Α͏ • ۃ୺ʹେ͖͍ͷɺͩΊઈର • ෛͷใु͕ۃ୺ʹେ͖͗͢ΔͱͦΕΛආ͚ΔΑ͏ͳಈ͖Λֶशͨ͠Γ͢Δ •

    ߦಈͱͯ͠͸ྑ͍͔΋͠Εͳ͍͕ɺ໨తͱͯ͠ϥΠϯΛফ͢࠷దͳߦಈΛಘΒΕΔํࡦΛֶशͯ͠΄͍͠ • ಈ͖ଓ͚ͨΒϚΠφεͷใु͔͠΋Β͑ͳ͍ʂʂʂ  ήʔϜΛ଎͘ऴྃͨ͠΄͏͕ใु͕ྑ͔ͬͨΓ͢Δ ͱ਎౤͛Λֶश͢Δ • ͸͡Ί͸ɺ·ͨ͸ʹ͠Α͏ • ΍ͬͯ΄͘͠ͳ͍ߦಈબ୒͕ΈΒΕΔͳΒֶशͷ ޙ൒Ͱௐ੔͠Α͏ • ޻෉ͨ͠ใुΛ༩͑Δͷ΋Α͍ • ςτϦεͷ৔߹ͩͱɺϒϩοΫΛஔ͍ͨͱ͖ɺ ͜Ε͕Ͳͷ͘Β͍ྑ͍ஔ͖ํ͔ͩͬͨ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.     
  16. 1ZUIPO • ࢓ࣄͰ͸1ZUIPOΛར༻͠·ͨ͠ʢ1ZHMFUΛར༻͠·ͨ͠ʣ • ϝϦοτ • ֶशଆ΋1ZUIPOͳͷͰɺήʔϜଆʹػೳͷ௥Ճɺॲཧͷमਖ਼ͳͲɺֶशαΠυͱͷ࿈ܞ͠ ΍͍͢ • σϝϦοτ

    • ήʔϜͰΑ͘ར༻͢ΔػೳΛ࣮૷͠ͳ͍ͱ͍͚ͳ͍ͷͰେม • ΤʔδΣϯτΛ௥͏Χϝϥͷ࣮૷Ͱ͋ͬͨΓɺࡾ֯ؔ਺ͷཧղʹۤ࿑͢Δ • ։ൃͰ͖ͳ͍Θ͚Ͱ͸ͳ͍͕ɺ༻ҙ͍ͯ͘͠ͷ͸େม • Ϧονͳ6*Λ։ൃ͢Δͷ΋೉͍͠ • ը૾ͷςΩενϟΛషΔ͚ͩͰॏ͘ͳͬͨΓʜ • ݟͨ໨͕ϦονʹͰ͖ͳ͍ͱσϞ͕๡͍͠ʢֶशͷख๏΍Ϟσϧͷํͷ༏ઌ౓͕ߴ͍͕ɺਓ͸ݟͨ໨ʹͩ͜ ΘΔ໰୊ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  17. +BWB4DSJQU • ࠓճͷσϞ͸+BWB4DSJQUʢ7VFKTʣͰ࡞੒͠·ͨ͠ • ϝϦοτ • %ͳΒϒϥ΢βͰ΋Ϧονͳ΋ͷ͕࡞ΕΔͱࢥΘΕΔ • IUNMˍDTT͑͞஌͍ͬͯΕ͹ɺ6*ΛϦον͢Δ͜ͱ͸ͳΜΒ೉͘͠͸ͳ͍ •

    %͸ʁ UISFFKTͱ͍͏΋ͷ͕͋Δ • 1ZUIPOͱͷ΍ΓऔΓ͸ʁ 4FMFOJVNΛ࢖͑͹Α͍ • σϝϦοτ • ͱ͸͍͑ɺ1ZUIPOͱಉ༷ɺήʔϜͰΑ͘࢖͏VUJMJUZͳ΋ͷ͸ࣗ෼Ͱ։ൃ͠ͳ͚Ε͹͍͚ͳ ͍ • 4FMFOJVNͱͷ΍ΓऔΓͰ޻෉Λ͠ͳ͍ͱॲཧ͕ܹॏʹͳΔ • ࠓճͷ৔߹ͩͱɺςτϦεͷϚεʹ ͕ೖ͍ͬͯΔ ҰͭͣͭEJWͰғ·Ε͍ͯΔ • EJWΛGJOE@CZ@FMFNFOUT@DMBTT ͱ͔Ͱऔಘ͢Δͱ஗͍ͷͰɺYΛΧϯϚ۠੾Γʹͯ͠ग़ྗ EPNॲ ཧΛ̍౓ͰࡁΉΑ͏ʹ޻෉͕ඞཁ • $BOWBTͰεΫϦʔϯγϣοτऔΔͱ͔΋ܹॏ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.
  18. 6OJUZ • ࠓճ͸ؒʹ߹͍·ͤΜͰͨ͠ʢྦʣ • ϝϦοτ • 6*Ͱϙνϙνͬͱ͍ͯ͘͠ˍͪΐͬͱͨ͠$ͷίʔυΛॻ͚ͩ͘ͰήʔϜ͕࡞ΕΔ • ήʔϜ։ൃʹಛԽͨ͠؀ڥͳͷͰɺ΍Γ͍ͨ͜ͱ͸άάΕ͹͍͍ͩͨͰ͖Δ •

    1ZUIPOͱͷ΍ΓऔΓ͸ʁ .-"HFOUͱ͍͏΋ͷ͕͋Δ • σϝϦοτ • ʢݸਓతͳݟղͰ͕͢ɻɻɻʣίʔυͰ؅ཧ͍ͨ͠ • ઃఆͷݟམͱ͠ͰϋϚͬͨΓ • ͔͠͠ɺ͜ͷล͸ֶΜͰ͍͘தͰ׳Ε͍͚ͯ͹͍͍͔ͳͱࢥ͍ͬͯ·͢ • .-"HFOUͷ΋ͬ͞Γײ • ΧϦΩϡϥϜֶशɺঢ়ଶ͕ࣗಈͰਖ਼نԽͱ͔ͱ͔ػೳʹ͍͍ͭͯΔ • ࢖͏ਓʹ͸͍͍͜ͱ͕ͩɺ΋ͬͱܰͯ͘΋͍͍ • .-"HFOUͰͷֶश͸5FOTPSGMPX͕αϙʔτ͞Ε͍ͯΔ͕ɺ6OJUZଆͰಈ࡞ͤ͞ΔϞσϧͷରԠόʔδϣϯ ͕5FOTPSGMPX ʢMBUFTU ʣ © 2018 Chura DATA inc. PROPRIETARY & CONFIDENTIAL.