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対戦ゲームに学ぶ、フレームワークの設計技法とAIのアルゴリズム入門 / game model

qsona
August 30, 2019
7.1k

対戦ゲームに学ぶ、フレームワークの設計技法とAIのアルゴリズム入門 / game model

builderscon tokyo 2019 / 補足はこちら https://note.mu/qsona/n/n137733801fd0

qsona

August 30, 2019
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  1. ରઓήʔϜʹֶͿ

    ϑϨʔϜϫʔΫͷઃܭٕ๏
    ͱAIͷΞϧΰϦζϜೖ໳
    builderscon tokyo 2019 (2019-08-30)
    @qsona

    View Slide

  2. whoami
    • @qsona
    • ιϑτ΢ΣΞΤϯδχΞ
    • ରઓήʔϜ޷͖
    • কعΞϚνϡΞ࢛ʙޒஈ͘Β͍
    • ήʔϜAIΛ͔ͬͨ͜͡ͱ͋Γ

    View Slide

  3. ࠓ೔ͷ࿩
    • ରઓήʔϜ͸ָ͍ͧ͠
    • ରઓήʔϜʹؔ࿈͢Δٕज़ͷ࿩Λ͢Δ
    • ॳڃऀ޲͚
    • ٕज़ͱ࣮ੈքͷήʔϜͱͷܨ͕ΓΛײͯ͡΋
    Β͑ͨΒخ͍͠

    View Slide

  4. ࠓ೔ͷ୊ࡐ͸ओʹ͜ΕΒͰ͢
    • ࢦͷήʔϜ / কع / ຑ੃ / ΀Α΀Α / ਓ࿛

    ͦΕͧΕҧ͏ੑ࣭Λ࣋ͭήʔϜ
    • ରઓήʔϜΛϞσϦϯά͢Δ͜ͱͰɺ

    ήʔϜͷੑ࣭Λଊ͑ͯΈΔ
    • ϞσϦϯάΛੜ͔͠ɺήʔϜͷϓϩάϥϛϯά΍

    AIΞϧΰϦζϜΛߟ͑Δ

    View Slide

  5. Agenda
    • 1. ରઓήʔϜͷϞσϦϯά
    • 2. ରઓήʔϜAIͷΞϧΰϦζϜೖ໳
    • 3. boardgame.io ʹֶͿ

    ϑϨʔϜϫʔΫઃܭͷצॴ

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  6. 1. ରઓήʔϜͷϞσϦϯά
    • 3ͭͷ؍఺ͰϞσϦϯά͢Δ
    • ήʔϜͷϧʔϧ
    • ήʔϜͷछྨͷ෼ྨ
    • ήʔϜͷঢ়ଶͷਐߦ (ήʔϜ໦)
    • ͦΕͧΕͷ؍఺ͰͷϞσϧͱɺ

    ࣮ੈքʹ͓͚Δਓؒͷଊ͑ํͱͷؔ࿈Λߟ͑Δ

    View Slide

  7. ରઓήʔϜͷϧʔϧͷఆࣜԽ
    • ήʔϜͷঢ়ଶͷू߹, ॳظঢ়ଶ
    • Move
    • ϓϨΠϠʔ͕ήʔϜΛਐΊΔखஈ
    • ঢ়ଶ͔Βঢ়ଶ΁ͷભҠ
    • ऴྃ৚݅ͱ݁Ռ

    View Slide

  8. ࣮ੈքͰͷఆࣜԽ
    ྫ: কعͷϧʔϧ
    • ࣮ࡍͷήʔϜͷϧʔϧ΋ɺ

    ͦͷ3ͭͰߏ੒͞Ε͍ͯΔͷ?
    • কعΨΠυϒοΫ

    (೔ຊকع࿈ໍ, 2003)

    ΛಡΈղ͍ͯݕূ͢Δ
    • ϧʔϧ͸17߲໨ʹ෼͔Ε͍ͯΔ

    View Slide

  9. • 1. ରہ
    • 2. ରہऀ
    • 3. ۨΛॳܕʹ഑ஔ
    • 4. ۨͷଘࡏͱͦͷۭؒ
    • 5. ֤ۭؒͷۨͷଘࡏ਺
    • 6. ۨͷಈ͖ͱੑ࣭
    • 7. ࢦ͠ख
    • 8. ࢦ͠खͷछྨ
    • 9. औΔ
    • 10. ੒Δ
    • 11. ۨͷؼଐ
    • 12. ࢦ͠खͷ׬ྃ
    • 13. ہ໘ͷఆٛ
    • 14. ൫্ͷۨͱ࣋ͪۨͷؔ܎
    • 15. Ԧखͱ٧Έ
    • 16. ಛʹܾΊΒΕͨېࢭࣄ߲
    • 17. ऴہ

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  10. • 1. ରہ
    • 2. ରہऀ
    • 3. ۨΛॳܕʹ഑ஔ
    • 4. ۨͷଘࡏͱͦͷۭؒ
    • 5. ֤ۭؒͷۨͷଘࡏ਺
    • 6. ۨͷಈ͖ͱੑ࣭
    • 7. ࢦ͠ख
    • 8. ࢦ͠खͷछྨ
    • 9. औΔ
    • 10. ੒Δ
    • 11. ۨͷؼଐ
    • 12. ࢦ͠खͷ׬ྃ
    • 13. ہ໘ͷఆٛ
    • 14. ൫্ͷۨͱ࣋ͪۨͷؔ܎
    • 15. Ԧखͱ٧Έ
    • 16. ಛʹܾΊΒΕͨېࢭࣄ߲
    • 17. ऴہ
    (1) ήʔϜͷঢ়ଶ(ہ໘)ͷ

    ू߹, ॳظঢ়ଶ

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  11. ہ໘ (≒ήʔϜͷঢ়ଶͷू߹)
    • কع൫ = 9x9
    • ֤Ϛεʹ͸ɺઌख·ͨ͸ޙखͷ͕ۨ

    ࠷େ1ͭೖΔ
    • ۨ୆ɾ࣋ۨ
    • ઌखɾޙख1ͭͣͭ

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  12. ہ໘ (≒ήʔϜͷঢ়ଶͷू߹)
    • ൫໘ (൫্+ۨ), ࣋ۨ (ۨ୆+ۨ), ख൪ Λ߹Θͤ
    ͯʮہ໘ʯͱఆٛ͞Ε͍ͯΔ
    • ہ໘͸ɺকعʹ͓͚ΔήʔϜͷঢ়ଶ
    • ਖ਼֬ʹ͸ɺہ໘୯ମ͚ͩͰ͸ήʔϜͷঢ়ଶΛ
    දͤͳ͍ (ઍ೔ख: ϧʔϓΛ൑ఆͰ͖ͳ͍)

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  13. ॳܗ (ॳظঢ়ଶ)

    View Slide

  14. • 1. ରہ
    • 2. ରہऀ
    • 3. ۨΛॳܕʹ഑ஔ
    • 4. ۨͷଘࡏͱͦͷۭؒ
    • 5. ֤ۭؒͷۨͷଘࡏ਺
    • 6. ۨͷಈ͖ͱੑ࣭
    • 7. ࢦ͠ख
    • 8. ࢦ͠खͷछྨ
    • 9. औΔ
    • 10. ੒Δ
    • 11. ۨͷؼଐ
    • 12. ࢦ͠खͷ׬ྃ
    • 13. ہ໘ͷఆٛ
    • 14. ൫্ͷۨͱ࣋ͪۨͷؔ܎
    • 15. Ԧखͱ٧Έ
    • 16. ಛʹܾΊΒΕͨېࢭࣄ߲
    • 17. ऴہ
    (2) Move (ࢦ͠ख)

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  15. ࢦ͠ख (Move)
    • ൫্ͷۨΛಈ͔͢ or ۨ୆ͷۨΛ൫্ʹଧͭ
    • ൫্ͷۨΛಈ͔͢৔߹ɺ͞Βʹ࣍ͷಈ࡞͕Մ
    ೳͳ৔߹͕͋Δ
    • (૬खͷۨΛ) औΔ
    • ੒Δ (ۨΛཪฦ͢)

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  16. ߹๏खͱې͡ख
    • কعͷࢦ͠खʹ͸ɺ߹๏ख (Valid Move)ͱ

    ې͡ख (Invalid Move) ͕͋Δ
    • ې͡ख͸ࢦ͠खͷू߹ʹؚ·ΕΔ͕ɺ

    ͦΕΛࢦ͢ͱʮ൓ଇʯͷऴྃ৚݅ʹΑΓ

    ήʔϜ͕ऴྃ͢Δ

    View Slide

  17. ې͡खͷྫ
    • ਖ਼͘͠ͳ͍ۨͷಈ͔͠ํ
    • ೋา, ଧͪา٧Ί, etc...
    • ԦΛ૬खʹऔΒΕͯ͠·͏ঢ়ଶʹ͢Δ
    • ※ԦΛ࣮ࡍʹऔΔ͜ͱ͸ى͜Βͳ͍ɻ

    औΕΔ࣌఺Ͱ૬ख͕൓ଇෛ͚

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  18. • 1. ରہ
    • 2. ରہऀ
    • 3. ۨΛॳܕʹ഑ஔ
    • 4. ۨͷଘࡏͱͦͷۭؒ
    • 5. ֤ۭؒͷۨͷଘࡏ਺
    • 6. ۨͷಈ͖ͱੑ࣭
    • 7. ࢦ͠ख
    • 8. ࢦ͠खͷछྨ
    • 9. औΔ
    • 10. ੒Δ
    • 11. ۨͷؼଐ
    • 12. ࢦ͠खͷ׬ྃ
    • 13. ہ໘ͷఆٛ
    • 14. ൫্ͷۨͱ࣋ͪۨͷؔ܎
    • 15. Ԧखͱ٧Έ
    • 16. ಛʹܾΊΒΕͨېࢭࣄ߲
    • 17. ऴہ
    (3) ऴྃ৚݅ͱ݁Ռ

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  19. ऴہ (ऴྃ৚݅ͱ݁Ռ)
    • ԦΛ٧·͢ (٧·ͤͨํ͕উͪ)
    • ౤ྃ (౤ྃΛએݴͨ͠ํ͕ෛ͚)
    • ૬ೖۄ (఺਺Ͱউഊ͕ܾ·Δ)
    • ઍ೔ख (Ҿ͖෼͚)
    • ൓ଇ (ېࢭࣄ߲ɻ൓ଇΛͨ͠΄͏͕ෛ͚)

    View Slide

  20. Ԧखͱ٧Έ
    • ࣍ʹ૬खͷԦΛऔΕΔঢ়
    ଶ͕ʮԦखʯ
    • ԦखͰ͋Γɺ͞Βʹ૬ख
    ͕Ͳ͏΍ͬͯ΋࣍ʹԦΛ
    औΕΔঢ়ଶ͕ʮ٧Έʯ
    • ٧Έͷ৔߹ɺԦखΛ͔͚
    ͍ͯΔଆ͕উͪ

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  21. ଧͪา٧Ί
    • ൓ଇͷҰछɻ

    าΛଧͬͯʮ٧Έʯʹͯ͠͸͍͚ͳ͍

    View Slide

  22. "ଧͪา٧Ί" ͸ϝλతϧʔϧ
    • "٧Έ" = Ԧख͕͔͔͓ͬͯΓɺ͔ͭ૬खʹ

    Valid Move ͕ଘࡏ͠ͳ͍ঢ়ଶ
    • าΛଧͬͯԦख͢Δ ͱ͍͏ Move ͸ɺ

    ͦͷޙ૬खʹ Valid Move ͕ଘࡏ͠ͳ͍ͱ͖

    Invalid Move Ͱ͋Δ

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  23. ઍ೔ख
    • 4ճಉ͡ہ໘͕ൃੜ͢Δ͜ͱ
    • Ҿ͖෼͚
    • Ұൠతʹ͸ઌखͱޙखΛೖΕସ͑ͯ΍Γ௚͢
    • ͨͩ͠ɺ͜ͷؒยํͷԦख͕ଓ͍͍ͯΔ

    ʮ࿈ଓԦखͷઍ೔खʯ͸ɺ

    ԦखΛ͔͚͍ͯΔํ͕൓ଇෛ͚

    View Slide

  24. ʮ࠷ޙͷ৹൑ʯ(1997)
    • ๓ాޫ࢘ ࢯʹΑΔ

    ٧কع
    • ٧কع ... Ԧखͷ࿈ଓ
    Ͱ૬खͷԦ༷Λ٧Ί
    Δύζϧ
    • কعͷϧʔϧͷໃ६Λ
    ಥ͍ͨ࡞

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  25. View Slide

  26. View Slide

  27. View Slide

  28. தུ

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  29. View Slide

  30. View Slide

  31. View Slide

  32. View Slide

  33. 3ճ܁Γฦ͢

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  34. View Slide

  35. View Slide

  36. View Slide

  37. ࿈ଓԦखͷઍ೔ख
    • ઍ೔ख ... 4ճಉ͡ہ໘͕ൃੜ͢Δ͜ͱ
    • ͜ͷہ໘͸ʮ࿈ଓԦखͷઍ೔खʯʹΑΓ

    ઌख(ԦखΛ͔͚͍ͯΔํ)͕൓ଇෛ͚
    • ͱ͍͏͜ͱ͸ɺઌख͕ҧ͏खΛࢦ͞ͳ͚Ε͹
    ͳΒͳ͍?

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  38. View Slide

  39. ଞʹख͕ͳ͍
    • าͰԦख͕͔͔͍ͬͯΔ
    • ֯ͰऔΔҎ֎ͷબ୒ࢶ͕ͳ͍
    • ͔͠͠ɺ֯Ͱऔͬͯ΋൓ଇෛ͚
    • ͭ·Γ͜ͷہ໘͸ "٧Έ" Ͱ͸......?

    View Slide

  40. าͷԦखͰ٧Μͩ
    • ͱ͍͏͜ͱ͸͜ͷہ໘͸ʮଧͪา٧Ίʯ
    • (࠶ܝ) าΛଧͬͯԦख͢Δ ͱ͍͏ Move ͸ɺ

    ͦͷޙ૬खʹ Valid Move ͕ଘࡏ͠ͳ͍ͱ͖

    Invalid Move Ͱ͋Δ
    • ͭ·Γ͜ͷา͸ଧͯͳ͍ɺͱ͍͏ओு

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  41. View Slide

  42. ͜ͷ٧কع͸੒ཱ͢Δ͔?
    • ͜ͷาଧͪ͸ʮଧͪา٧Ίʯͳͷ͔Ͳ͏͔
    • ௚ײʹ͸͔ͳΓ൓͢Δɻ
    • ٧Έͱ͍͑͹ී௨͸

    ʮͲ͏ࢦͯ͠΋࣍ʹԦ͕औΒΕΔʯ͜ͱ
    • ͜Μͳ͜ͱ͕ى͖Δ͜ͱ͸୭΋ߟ͑ͳ͔ͬͨ

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  43. ͜ͷ٧কع͸੒ཱ͢Δ͔?
    • ݱߦͷϧʔϧͰ͸ɺউͪෛ͚͕ʮෆఆʯ

    ͱ͍͏ͷ͕ఆઆ
    • ϧʔϧ͕ᐆດɺਖ਼͘͠ఆࣜԽͰ͖͍ͯͳ͍
    • ࢲݟ: কعΨΠυϒοΫ (2003) Λਫ਼ಡ͢Δͱ...
    • ଓ͖͸WebͰ

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  44. ྫ: ਓ࿛
    • ਓ࿛ͷϧʔϧΛͦͷ··ద༻͢Δͱɺࣗવݴޠղੳ͕ඞཁ
    ʹͳΓɺղੳ͕೉͍͠
    • ʮਓ࿛ϓϩτίϧʯ... ֤ϓϨΠϠʔͷൃݴΛఆࣜԽ (ࣄ࣮΍
    ҙਤͷද໌, ཁ੥ͳͲ)
    • ྫ: REQUEST [○͞Μ] (DIVINATION [×͞Μ])

    →ʮ○͞Μɺ×͞ΜΛ઎͍·͠ΐ͏ʯ
    • ͜ΕʹΑΓݚڀର৅ʹ͠΍͘͢ͳΔ

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  45. ϧʔϧΛఆࣜԽ͢Δͱ
    • ʮ࠷ޙͷ৹൑ʯͷΑ͏ͳέʔεΛਖ਼͘͠൑ఆͨ͠Γɺ

    ໃ६Λൃݟͨ͠ΓͰ͖Δ (͸ͣ)
    • ήʔϜ AI ͳͲͷݚڀର৅ʹͰ͖Δ
    • ಛʹ General Game Playing ... ະ஌ͷήʔϜΛ͏·
    ͘ϓϨΠͰ͖Δ൚༻ AI ͷର৅ʹ
    • ήʔϜࣗମͷੑ࣭ͷཧղʹܨ͕Δ

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  46. 2. ରઓήʔϜͷ෼ྨ

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  47. جຊͷ෼ྨ߲໨
    • ϓϨΠਓ਺ (2ਓʙ)
    • རಘͷ߹ܭ͸Ұఆ(θϩ)͔
    • ঢ়ଶ͕ແݶʹଘࡏ͢Δ͔
    • ϥϯμϜωε(ཚ਺)͸ଘࡏ͢Δ͔
    • ͢΂ͯͷ৘ใ͕શһʹ։ࣔ͞Ε͍ͯΔ͔

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  48. ೋਓྵ࿨༗ݶ֬ఆ׬શ৘ใήʔϜ
    • কع, ғޟ, Φηϩ, νΣε, ... ͳͲ
    • ήʔϜAIݚڀͰ͸جຊͱͳΔΫϥελ
    ਓ਺ ਓ
    ঢ়ଶ ༗ݶݸ
    ϥϯμϜωε ͳ͠
    ৘ใ શͯ։ࣔ

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  49. ྫ: ຑ੃
    • ଟਓ਺, ϥϯμϜωε͋Γ, ෆ׬શ৘ใ
    ਓ਺ ਓ
    ঢ়ଶ ༗ݶݸ
    ϥϯμϜωε ͋Γ ہ͝ͱͷॳظঢ়ଶ͸ϥϯμϜ

    ৘ใ
    ࣗ෼ͷखṛ )BOE
    ͸ࣗ෼͚ͩʹ։ࣔ

    ࢁṛ %FDL
    ͸શһʹඇ։ࣔ

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  50. ྫ: ΀Α΀Α
    • ϓϨΠϠʔ͸೚ҙͷλΠϛϯάͰૢ࡞Մೳͳ
    ͷͰɺ࿈ଓແݶͷہ໘͕͋Δ͕ɺ࣮࣭తʹ͸
    ཭ࢄεςοϓͱଊ͑Δ͜ͱ͕Մೳ
    ਓ਺ ਓ
    ঢ়ଶ ࿈ଓແݶ࣮࣭తʹ͸༗ݶ
    ϥϯμϜωε ͋Γ
    ৘ใ ΄΅׬શ৘ใ खઌҎ্ͷ΀Α͸දࣔ͞Εͳ͍

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  51. ྫ: ਓ࿛
    • ෼ྨ্͸͔ͳΓಛघͳήʔϜͱݴ͑Δ
    ਓ਺ ଟਓ਺ɾνʔϜ
    ঢ়ଶ ࿈ଓແݶϓϩτίϧͷ੍ݶʹΑΓ༗ݶ
    ϥϯμϜωε ॳظঢ়ଶҎ֎͸΄΅ͳ͠
    ৘ใ ෆ׬શ৘ใ

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  52. ଟਓ਺ͷ೉͠͞
    • ࣗ෼ͷߦಈ͕ଞਓͷউഊʹӨڹͯ͠͠·͏͜
    ͱ͕͋Δ
    • શһ͕े෼ʹϨϕϧ͕ߴ͘ɺͦΕͧΕ͕ࣗ෼
    ͷউͪͷͨΊʹߦಈ͢ΔͱԾఆͯ͠Α͍ͷͩ
    Ζ͏͔?

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  53. ϥϯμϜωεͷ೉͠͞
    • ࠷ऴ݁Ռ͚͔ͩΒֶश͠Α͏ͱ͢Δͱ

    ऩଋʹ͔͔࣌ؒΓ͗͢Δ
    • ≒ ݁ՌʹҰتҰ༕͢Δਓ͸ڧ͘ͳΒͳ͍
    • ֬཰Ͱߟ͑Δඞཁ͕͋Δ
    • ྫ: "ṛޮ཰" ... ΞΨΕΔ֬཰͕ߴ͍ํ๏Λ୳͢

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  54. ෆ׬શ৘ใͷ೉͠͞
    • ৚݅෇͖֬཰Λߟ͑Δඞཁ͕͋Δ
    • ྫ: ࣺͯṛ͔Β૬खͷ଴ͪΛਪଌ͢Δ
    • ૬खʹखͷ಺Λಡ·Εͳ͍Α͏ɺ

    ࠞ߹ઓུ͕ඞཁʹͳΔ৔߹͕͋Δ

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  55. θϩ࿨ରઓήʔϜͷ෼ྨ·ͱΊ
    • ೋਓɾ༗ݶɾ֬ఆɾ׬શ৘ใ͕

    ΋ͬͱ΋جຊͷΫϥελ
    • ͦΕͧΕҳ୤͢Δͱ৽ͨͳෳࡶ͕͞ੜ·ΕΔ

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  56. 3. ήʔϜ໦

    (ήʔϜͷਐߦͷϞσϦϯά)

    View Slide

  57. ήʔϜͷਐߦͱ໦ߏ଄
    • ॳظঢ়ଶ͔ΒɺMoveʹΑͬͯήʔϜͷঢ়ଶ͕
    ॱʑʹҠΓมΘ͍ͬͯ͘
    • ঢ়ଶ = ϊʔυ

    Move = ࢬ

    ͱΈͳͨ͠໦ߏ଄ͰදͤΔ

    View Slide

  58. ઌख
    ޙख
    ઌख
    ޙख

    View Slide

  59. ήʔϜ໦ͷϊʔυͷ஋
    • ೋਓήʔϜ໦ͷ৔߹
    • ࣗ෼ͷख൪ => max(ࢠϊʔυͷ஋)
    • ૬खͷख൪ => min(ࢠϊʔυͷ஋)

    View Slide

  60. ઌख
    ޙख
    ઌख
    ޙख
    উͪ ෛ͚
    Ҿ෼
    ෛ͚
    ઌखࢹ఺
    ͷউഊ

    View Slide

  61. ઌख
    ޙख
    ઌख
    ޙख
    উͪ ෛ͚
    Ҿ෼
    ෛ͚
    ઌखࢹ఺
    ͷউഊ
    Ҿ෼ উͪ

    View Slide

  62. ઌख
    ޙख
    ઌख
    ޙख
    উͪ ෛ͚
    Ҿ෼
    ෛ͚
    ઌखࢹ఺
    ͷউഊ
    Ҿ෼ উͪ
    Ҿ෼
    Ҿ෼

    View Slide

  63. ήʔϜ໦ͱήʔϜͷੑ࣭
    • ήʔϜ໦͕Ͳ͏ͳ͍ͬͯΔ͔͸ɺਓؒͷײ͡
    ํͱϦϯΫ͍ͯ͠Δ͸ͣ
    • ྫ͑͹

    ਓ͕ؒʮ໘ന͍ʯͱײ͡ΔήʔϜΛɺ

    ήʔϜ໦ͷঢ়ଶͰදͤͳ͍ͩΖ͏͔?

    View Slide

  64. ࢲݟ: ໘ന͍ήʔϜ
    • ϧʔϧ͕γϯϓϧ
    • ਂΈ͕͋Δ
    • ۓுײ͕࣋ଓ͢Δ

    (ద౓ʹٯస͕ى͜Γ΍͍͢)

    View Slide

  65. ήʔϜ໦
    ઌख

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  66. ফԽࢼ߹ͷήʔϜ໦
    ෛ͚ ෛ͚ ෛ͚
    উͪ
    উͪ উͪ উͪ উͪ
    ઌख

    View Slide

  67. ফԽࢼ߹ͷήʔϜ໦
    • ࣗ෼͕ͲΕΛબΜͰ΋উͭ
    • ฆΕ͕গͳ͍

    View Slide

  68. ࠷ޙ·Ͱ೤͍ࢼ߹ͷήʔϜ໦
    ෛ͚ ෛ͚
    ෛ͚উͪ
    ෛ͚ উͪ
    ෛ͚
    উͪ উͪ
    ઌख

    View Slide

  69. ࠷ޙ·Ͱ೤͍ࢼ߹ͷήʔϜ໦
    • ࣗ෼͕બΜͰউͯΔख͸Ұ͚ͭͩ
    • উͪͷہ໘͕ଟ͍͕ɺ

    ૬ख͕ਖ਼֬ʹ΍Δͱෛ͚Δख͕͋Δ
    • ٯసͷՄೳੑ͕͋Δ

    View Slide

  70. ήʔϜͷ໘ന͞ͷఆࣜԽ
    • ଞʹ΋໘ന͞ͷई౓͸͋Δ͕ɺଟ͘͸

    ήʔϜ໦ͷঢ়ଶͰදݱͰ͖ͦ͏
    • ໘ന͞ΛఆࣜԽͰ͖Ε͹

    ʮࣗಈήʔϜ࡞੒AIʯΛ࡞ΕΔ͔΋͠Εͳ͍

    View Slide

  71. 1ষ·ͱΊ
    • ରઓήʔϜΛ3ͭͷ؍఺ͰϞσϦϯάͨ͠
    • ͦΕͧΕɺ࣮ੈքʹ͓͚Δ֓೦ͱͷؔ܎Λࣔ
    ͨ͠
    • ࣍ͷষ͔Β͜ͷϞσϧΛ

    AI΍ήʔϜϑϨʔϜϫʔΫʹద༻͍ͯ͘͠

    View Slide

  72. 2. ରઓήʔϜͷղੳͱ

    AIͷΞϧΰϦζϜೖ໳

    View Slide

  73. ରઓήʔϜAIͷྺ࢙
    • ݚڀ͸1950೥͝Ζ͔Βଘࡏ
    • von Neumann (ϑΥϯɾϊΠϚϯ)
    • C. E. Shannon (γϟϊϯ)
    • Alan Turing (νϡʔϦϯά)
    • ௒߽՚

    View Slide

  74. ରઓήʔϜAIͷྺ࢙
    • 1993೥ 6x6Φηϩͷ׬શղੳ(ޙखউͪɺ16-20)
    • 1997೥ νΣεͰੈքνϟϯϐΦϯʹউར
    • 2007೥ νΣοΧʔͷ׬શղੳ(Ҿ͖෼͚)
    • 2013೥ কعͰτοϓϨϕϧͷϓϩع࢜ʹউར
    • 2016೥ ғޟͰτοϓϨϕϧͷϓϩع࢜ʹউར

    View Slide

  75. ରઓήʔϜAIͷجຊ
    • ήʔϜ໦Λϕʔεʹ୳ࡧ͢Δ
    • ϛχϚοΫε๏, ࢬמΓ (α-β๏)
    • ϞϯςΧϧϩ໦୳ࡧ
    • ධՁؔ਺Λ࡞Δ
    • ήʔϜͷঢ়ଶΛείΞͰදؔ͢਺

    View Slide

  76. ࢀߟ: কعʹ͓͚Δਓؒͷઓུ
    ͱͷൺֱ
    • ήʔϜ໦Λϕʔεʹ୳ࡧ͢Δ (ಡΈ)
    • ͋Γ͑ͦ͏ͳࢦ͠खΛ͍͔ͭ͘બΜͰಡΉ
    (બ୒త୳ࡧ)
    • AI Ͱ͸શ෯୳ࡧ͕ओྲྀ

    View Slide

  77. ࢀߟ: কعʹ͓͚Δਓؒͷઓུ
    ͱͷൺֱ
    • ධՁؔ਺ (ܗ੎൑அ, େہ؍)
    • ඇৗʹ೉͘͠ɺτοϓϓϩಉ࢜Ͱ΋ҙݟ͕
    ৯͍ҧ͏
    • ७ਮͳධՁؔ਺(੩తͳہ໘ͷධՁ)Ͱ͸

    ਓؒ > AI

    View Slide

  78. ୳ࡧ(1)

    ϛχϚοΫε๏ / ࢬמΓ(α-β๏)
    • ήʔϜ໦ͷͱ͜ΖͰઆ໌ͨ͠ͷ͕

    ϛχϚοΫε๏
    • ࢬמΓ ... ಡ·ͳͯ͘ྑ͍ࢬΛΧοτ͢Δ
    • ྫ: ͋ΔMoveͰ10఺औΕΔͷ͕֬ఆ͍ͯ͠Δɻ
    => 10఺ҎԼ͕֬ఆͨ͠ࢬ͸ಡ·ͳͯ͘Α͍

    View Slide

  79. ࢬמΓͷྫ
    ઌख


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  80. ࢬמΓͷྫ
    ઌख


    ? ͸ಡ·ͳͯ͘ྑ͍

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  81. ୳ࡧ (2) ϞϯςΧϧϩ໦୳ࡧ
    • ͱΓ͋͑ͣɺήʔϜऴྃ·Ͱ΍ͬͯΈΔͷΛ

    Կճ΋܁Γฦ͢
    • উ཰͕ߴ͍खΛબͿ
    • ͨͩ͠ɺ୯ʹϥϯμϜʹબͿ͚ͩͩͱऑ͍ͷ
    Ͱɺ޻෉Λ͢Δ

    View Slide

  82. ϞϯςΧϧϩ໦୳ࡧͷվྑ
    • Multi-Armed Bandit Problem ʹର͢ΔΞϧΰϦ
    ζϜΛԠ༻͢Δ (UCB1 ΞϧΰϦζϜͳͲ)
    • ͲΕ͘Β͍౰ͨΔ͔ෆ໌ͳεϩοτϚγϯ͕ͨ
    ͘͞Μ͋Δͱ͖ɺͲ͏͍͏ઓུͰ΍Δͱྑ͍͔

    View Slide

  83. ධՁؔ਺
    • ྫ: ΦηϩͰ۱ΛऔΔͱධՁ͕ߴ͍
    • ػցֶशΛ࢖͏ͷ͕ओྲྀ
    • ಛ௃ྔͷநग़͸ਓ͕ؒߦ͏
    • General Game Playing ʹ͓͍ͯ͸ɺಛ௃ྔ
    ͢Β΋ AI ͕ࣗ਎Ͱநग़͢Δ

    View Slide

  84. ͔͜͜Β࣮ࡍͷήʔϜͰͷྫ

    View Slide

  85. ྫ: ࢦͷήʔϜ
    • ہ໘਺͕গͳ͍
    • ͔͔ͨͩ 5^4 * 2 = 1250 ௨Γ
    • ରশੑ౳Λߟ͑ͯ (5+4+3+2+1) * 2 - 1 = 224௨Γ
    • ͦͷ͏ͪ14௨Γ͸ऴྃہ໘
    • ׬શղੳ͕Մೳ

    View Slide

  86. ૉ௚ͳղੳํ๏
    • ॳظঢ়ଶ͔ΒήʔϜ໦Λల։͠ͳ͕Βܭࢉ
    • ϛχϚοΫε๏
    • ಈతܭը๏ ... Ұ౓ܭࢉͨ͠ہ໘ͷ݁ՌΛอ
    ଘ͓͖ͯ͠ɺ࠶ར༻͢Δ
    • ໰୊: ήʔϜ໦ʹϧʔϓ͕ଘࡏ͢Δ

    View Slide

  87. ޙୀղੳ
    • ऴྃͷہ໘͔Βٯࢉ͠ɺউͪ/ෛ͚ͷہ໘Λ֬ఆ͍ͤͯ͘͞
    • ෛ͚ہ໘͔Β1ख໭ͬͨہ໘͸উͪہ໘
    • উͪہ໘͔Β1ख໭ͬͨہ໘͔ΒɺࢬΛফ͢ɻࢬ͕0ຊʹ
    ͳ͍ͬͯͨΒͦͷہ໘͸ෛ͚ہ໘
    • ֬ఆ͍ͯ͠Δہ໘͕૿͑ͳ͘ͳͬͨΒɺ

    ࢒Γͷہ໘͸Ҿ͖෼͚

    View Slide

  88. ྫ: কع
    • ׬શղੳ͸ෆՄೳ
    • ہ໘਺͕ଟ͗͢Δ (10^68 ఔ౓ͱਪଌ͞ΕΔ)
    • ήʔϜ໦ͰҰఆͷਂ͞·Ͱ୳ࡧ͠ɺ

    ہ໘ΛධՁؔ਺ͰධՁ͢Δ
    • ධՁؔ਺͕ॏཁ

    View Slide

  89. কعͷධՁؔ਺
    • ੲ͸ϧʔϧϕʔεͩͬͨ
    • ։ൃऀͷ౒ྗͷ݁থ...
    • عྗ͸ΞϚνϡΞ༗ஈϨϕϧ

    (12ࡀͷqsonaͱಉఔ౓. ϓϩ͸·ͣෛ͚ͳ͍)
    • ͜ͷධՁؔ਺ʹϒϨΠΫεϧʔ͕ى͖Δ

    View Slide

  90. Ϙφϯβϝιου
    • Bonanza (2005, อ໦๜ਔ ࢯ)
    • ϓϩع࢜ͷعේΛڭࢣσʔλͱͯ͠ɺ

    ػցֶशʹΑΓධՁؔ਺Λ࡞੒
    • ύϥϝʔλ͸ɺۨͷՁ஋΍ɺ

    3ۨͷҐஔؔ܎ͳͲ

    View Slide

  91. কعͷධՁؔ਺ͦͷޙ
    • ࣗ෼ಉ࢜Λରઓֶͤͯ͞श͢Δ (ڧԽֶश)
    • ϓϩͷعේ౳Λશ͘࢖Θͣɺθϩ͔ΒࣗݾରઓͰ
    ڧ͘͢ΔࢼΈ΋͋Δ
    • AlphaZero ͕༗໊
    • ͜ͷํ๏Ͱ΋ਓؒΛ௒͑ΔϨϕϧʹͳ͍ͬͯΔ

    View Slide

  92. ͪͳΈʹ: ׬શղੳͱධՁؔ਺
    • ׬શղੳʹ͓͍ͯ΋ධՁؔ਺͸ॏཁ
    • (݁ہશ෦ಡΉͳΒɺঢ়ଶΛධՁ͢Δඞཁ͕ͳͦ͞͏ʹࢥ͑Δ͕...)
    • ྑͦ͞͏ͳMove͔ΒಡΉ͜ͱͰ

    ୳ࡧ͢Δہ໘ΛݮΒͤΔ
    • શہ໘਺ n => ୳ࡧہ໘਺ ໿ √n

    View Slide

  93. ྫ: ғޟ
    • ғޟͷAI͸͠͹Βͣͬ͘ͱऑ͔ͬͨ
    • 2006೥, ϞϯςΧϧϩ໦୳ࡧ + UCB1 ͷొ৔ʹ
    ΑΓɺಥવΞϚνϡΞߴஈҐϨϕϧʹ
    • ΊͪΌͪ͘Ό෼͔Γ΍͍͢ࢀߟࢿྉ͕͋ΔͷͰ

    ஔ͍͓͖ͯ·͢

    View Slide

  94. ྫ: ΀Α΀Α
    • ࣮ػͰਓؒʹউͬͨྫ͋Γ
    • (࣮ը໘Λը૾ೝࣝ)
    • AI ಉ࢜ͷରઓେձͷه࿥΋͋Δ
    • ϨΪϡϨʔγϣϯ͕೉͍͠
    • ൛ݖͷ໰୊, ϓϥοτϑΥʔϜ͕ͳ͍
    • ਓؒͷೝࣝೳྗͷݶք (কع౳ʹൺ΂ͯAIѹ౗త༗ར)

    View Slide

  95. ྫ: ਓ࿛
    • ʮਓ࿛஌ೳϓϩδΣΫτʯ
    • ਓ࿛ϓϩτίϧͷ΋ͱͰAIಉ࢜ରઓ͢Δ

    ϓϥοτϑΥʔϜ͕ଘࡏ͢Δ
    • ৽͍͠λΠϓͷήʔϜɻ

    ͜Ε͔Βݚڀ͕ൃల͍ͯ͘͠෼໺

    View Slide

  96. ରઓήʔϜAIͷ͜Ε͔Β
    • ݚڀʹ͓͍ͯ͸ɺ͋ΔಛఆͷήʔϜAIΛݚڀ͢Δ͜
    ͱͰଞͷ෼໺ʹߩݙ͢Δ͜ͱ͕͋Δఔ౓ٻΊΒΕΔ
    • ೋਓɾ׬શ৘ใήʔϜ͸͔ͳΓݚڀ͠ਚ͘͞Ε͖ͯ
    ͍ͯΔ
    • ଟਓ਺΍ɺෆ׬શ৘ใήʔϜɺGeneral Game
    Playingʹؔ৺͕ҠΓͭͭ͋Δ

    View Slide

  97. ରઓήʔϜAIͷ͜Ε͔Β (ࢲݟ)
    • झຯͱͯ͠ͷήʔϜAIϓϩάϥϛϯάΛ

    ΋ͬͱؾܰʹָ͠ΊΔੈքʹͳΔͱ͍͍
    • ద੾ͳ੍໿Λ΋ͬͨϓϥοτϑΥʔϜ͕͋Δͱ
    ྑ͍? (ܭࢉͷεςοϓ਺Λ੍ݶ͢Δͱ͔)
    • ࠃ಺Ͱ΋ e-sports ΍ AtCoder ͳͲؔ࿈෼໺͕
    ੝Γ্͕͍ͬͯΔͷͰɺػӡ͸͋Δ

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  98. 3. boardgame.io ʹֶͿɺ

    ϑϨʔϜϫʔΫઃܭͷצॴ

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  99. boardgame.io ͱ͸
    • λʔϯ(ख൪)ϕʔεͷήʔϜΛ࡞ΔͨΊͷ

    ϑϨʔϜϫʔΫ
    • JavaScript, Node.js, (React, React Native)
    • TypeScript ରԠ͸ਐߦத

    View Slide

  100. boardgame.io ͷػೳ (ެࣜΑΓ)
    • State Management
    • Multiplayer
    • AI
    • Game Phases
    • Prototyping
    • Logs
    • View-Layer Agnostic
    • Component Toolkit
    • Extendable

    View Slide

  101. ϑϨʔϜϫʔΫͱ͸Կ͔
    • A structure that forms a support or frame

    for something
    • (Collins English Dictionary ΑΓ)
    • Կ͔ʹର͢Δࢧ࣋෺΍࿮૊ΈΛܗ੒͢Δߏ଄

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  102. ϑϨʔϜϫʔΫͷྫ
    • Ruby on Rails
    • Angular

    View Slide

  103. ࢲݟ: ྑ͍ϑϨʔϜϫʔΫ
    • ର৅ͱ͢Δൣғ͕޿͍͕ɺ޿͗͢ͳ͍
    • ର৅ͷߏ଄Λద੾ʹଊ͍͑ͯͯɺ

    ؤ݈ੑ͕͋Δ
    • ଞͷٕज़ͱྑ͍ܨ͕Γ͕͋Δ

    (ΤίγεςϜ)

    View Slide

  104. boardgame.io ͷର৅
    • λʔϯ੍ (Turn-Based) ͷήʔϜ
    • ޿͍͕ɺ޿͗͢ͳ͍ద੾ͳந৅Խ
    • ϦΞϧλΠϜͰಈ࡞͢ΔήʔϜΛؚΊΔͱ༨
    ܭͳػೳ͕૿͑ɺҰํͰ݁ہ࢖ΘΕͳͦ͏

    View Slide

  105. (࠶ܝ) ରઓήʔϜͷϧʔϧ
    • ήʔϜͷঢ়ଶͷू߹, ॳظঢ়ଶ
    • Move
    • ϓϨΠϠʔ͕ήʔϜΛਐΊΔखஈ
    • ঢ়ଶ͔Βঢ়ଶ΁ͷભҠ
    • ऴྃ৚݅ͱ݁Ռ

    View Slide

  106. boardgame.io ʹΑΔଊ͑ํ (1)
    • G ... ։ൃऀ͕
    ؅ཧ͢ΔήʔϜ
    ͷঢ়ଶ
    • ctx ... ϑϨʔϜ
    ϫʔΫଆͰ؅
    ཧ͢Δঢ়ଶ

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  107. ଊ͑ํ͕ద੾
    • ྫ: কع
    • ʮہ໘ʯ(൫໘ɾۨͷঢ়ଶ) Λঢ়ଶ(G)ͱͯ͠؅ཧ͍ͨ͠
    • ࣮ࡍʹ͸ࢦ͠खͷཤྺ΋ήʔϜͷঢ়ଶʹؚ·ΕΔ
    • ཤྺ͕ͳ͍ͱઍ೔खͷ൑ఆ͕Ͱ͖ͳ͍...
    • ͦΕΒ͸ϑϨʔϜϫʔΫ͕؅ཧͯ͘͠ΕΔͷͰɺ։ൃऀ͕ҙ
    ࣝ͠ͳ͍Ͱ΋࢖͑Δ (͍͍ͪͪࣗ෼Ͱཤྺ؅ཧ͠ͳ͍͍ͯ͘)

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  108. boardgame.io ʹΑΔଊ͑ํ (2)

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  109. ଊ͑ํ͕ద੾
    • Move Λ G => G ͷ७ਮؔ਺ͱͯ͠ଊ͍͑ͯΔ
    • ෭࡞༻ͳ͠
    • ϝϦοτ͕ଟ͍
    • ཤྺͱͯ͠ѻ͍΍͍͢
    • React ͳͲ View ଆͷϑϨʔϜϫʔΫͱ૬ੑ͕͍͍

    View Slide

  110. boardgame.io ʹΑΔଊ͑ํ (3)
    • Phase ͱ͍͏֓೦Λಋೖ
    • Move ͨ͠ޙ Phase ΛભҠͰ͖Δ
    • Phase ʹΑͬͯɺऔΓ͏Δ Move ͷछྨ͕

    มΘΔ

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  111. ଊ͑ํ͕ద੾
    • Phase ͸ཧ࿦తʹ͸ήʔϜͷঢ়ଶʹؚ·ΕΔ
    • ͔͠͠ɺଟ͘ͷήʔϜʹϚον͢Δ֓೦
    • ਓ࿛ ... னͱ໷ͷ2ϑΣʔζͷ܁Γฦ͠
    • ன͸શһ͕ձ࿩͠ɺ໷͸ਓ࿛͚͕ͩձ࿩͢
    Δ

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  112. ϞσϦϯάͷؤ݈ੑ
    • ྑ͍ϞσϦϯά͕ग़དྷΔͱɺ෇ਵͯ͠

    ͞·͟·ͳศརػೳΛ͚ͭΒΕΔ
    • "1ཻͰN౓͓͍͍͠"

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  113. ࠶ܝ: boardgame.io ͷػೳ
    • State Management
    • Multiplayer
    • AI
    • Game Phases
    • Prototyping
    • Logs
    • View-Layer Agnostic
    • Component Toolkit
    • Extendable

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  114. Multiplayer
    • ෳ਺ਓͰͷಉ࣌ରઓ͕Մೳ
    • multiplayer: { server: 'localhost:8000' }

    ͷΑ͏ʹઃఆ͢Δ͚ͩ
    • transport ૚͕ந৅Խ͞Ε͍ͯΔઃܭ
    • socket.io, firebase ͕࢖͑ΔͬΆ͍

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  115. Multiplayer - ෆ׬શ৘ใ
    • ෆ׬શ৘ใήʔϜͷ৔߹ɺϓϨΠϠʔʹ͸ݟ
    ͑ͳ͍ήʔϜͷ৘ใ͕͋Δ
    • ௨৴೷͍ͨΒݟΕΔͱ͔͸μϝ
    • ήʔϜͷঢ়ଶ => PlayerView ͷ

    ७ਮؔ਺ͱͯ͠දݱ͢Δ͚ͩͰྑ͍

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  116. Logs
    • Move ͷݺͼग़͠Λཤྺͱͯ͠ѻ͑Δ
    • Undo, Redo ͕Ͱ͖Δ
    • عේͷอଘͱ͔͕؆୯ʹͰ͖Δ

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  117. Prototyping
    • ૢ࡞ը໘Λ࡞Βͳͯ͘΋ɺdebugը໘͕ࣗಈ
    Ͱ࡞ΒΕΔ
    • ήʔϜͷਐߦΛ؆୯ʹςετͰ͖Δ

    (Move ΛςΩετͰॻ͍ͯήʔϜΛਐΊΔ)

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  118. View-Layer Agnostic
    • PDS(ϓϨθϯςʔγϣϯͱυϝΠϯͷ෼཭)͕
    ׬શʹ͞Ε͍ͯΔ
    • React Ͱը໘ͷ࣮૷͕͙͢ʹ࢝ΊΒΕΔ
    • ΤίγεςϜ (Component Toolkit ͳͲ) Λ

    ࣗવͱ࡞Δ͜ͱ͕Ͱ͖Δ

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  119. AI
    • ϞϯςΧϧϩ໦୳ࡧϕʔεͷAIΛࣗಈͰੜ੒Ͱ
    ͖Δ
    • ϞϯςΧϧϩ໦୳ࡧ͸ήʔϜࣗମͷ஌ࣝΛඞ
    ཁͱ͠ͳ͍ɻ
    • ֤ঢ়ଶʹ͓͍ͯ Valid Move ͷू߹Λฦؔ͢
    ਺Λ࡞Δ͚ͩͰɺ؆қతͳAI͕࡞ΕΔ...!

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  120. AI (ิ଍)
    • ϞϯςΧϧϩ໦୳ࡧ͕୯७ʹ࢖͑Δͷ͸ɺϥ
    ϯμϜʹਐΊΕ͹ඞͣऴہ͢ΔήʔϜʹݶΔ
    • TicTacToe(○×), ғޟ, Φηϩ, etc...
    • ෆ׬શ৘ใήʔϜ͸೉͍͠

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  121. ίʔυͷDEMO
    ͠Α͏ͱࢥ͕ͬͨ......

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  122. ໰୊
    • ࣗ෼ͷίʔυ͕Ԛ͗ͯ͢ݟͤΒΕͳ͍...
    • PDS (ݟͨ໨ͱυϝΠϯͷ෼཭)͸׬શʹ͞Εͯ
    ͍Δɻͦͷ఺Ͱ࠷ѱͰ͸ͳ͍
    • ͔͠͠ɺͦΕͧΕͷPͱDͷίʔυ͸ΘΓͱ

    ͻͲ͍ঢ়ଶʹͳ͍ͬͯΔ

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  123. ϑϨʔϜϫʔΫͷର৅ͱݶք
    • ϑϨʔϜϫʔΫ͸ۜͷ஄ؙͰ͸ͳ͍
    • ։ൃऀ͸ɺϑϨʔϜϫʔΫ͕ର৅ͱ͍ͯ͠Δ
    ྖҬΛݟۃΊΔඞཁ͕͋Δ
    • ର৅ͱ͍ͯ͠ͳ͍ྖҬʹ͍ͭͯɺࣗ෼ͷ಄Ͱ
    ߟ͑ͳ͚Ε͹ͳΒͳ͍

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  124. ଟ෼͜ͷ࿩ʹܨ͕Δ

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  125. ·ͱΊ
    • ྑ͍ϑϨʔϜϫʔΫ͸ɺղܾ͢Δର৅ͷ޿͞
    Λద੾ʹͱΓɺͦΕΛਖ਼͘͠ଊ͍͑ͯΔɻ
    • ։ൃऀ΋ͦΕΛཧղ͠ɺϑϨʔϜϫʔΫ͕α
    ϙʔτ͠ͳ͍෦෼ʹ͍ͭͯࣗ෼Ͱߟ͑Δඞཁ
    ͕͋Δɻ

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  126. ·ͱΊͱࠓޙ

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  127. ·ͱΊ
    • ϧʔϧɾήʔϜ໦ɾ෼ྨͷ3ͭͷ؍఺Ͱରઓ
    ήʔϜΛϞσϦϯά͠ɺͦΕͧΕ࣮ࡍͷରઓ
    ήʔϜͷੈքͱͷܨ͕ΓΛΈͨ
    • ϞσϦϯά͸ɺ AI ͷΞϧΰϦζϜ΍ϑϨʔϜ
    ϫʔΫΛ࡞Δͱ͖ʹ׆͔͞ΕΔ
    • ରઓήʔϜ໘ന͍ΑͶ!!

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  128. ࠓޙ
    • ෆ׬શ৘ใήʔϜ΍൚༻AIͳͲͷݚڀ͕ࠓޙ͞Βʹ
    ੝Γ্͕͍ͬͯ͘ͷͰɺ௥͍͖͍ͬͯͨ
    • ࣗಈήʔϜੜ੒AI͸͋Γ͏Δͷ͔...?
    • ΈΜͳ͕޷͖ʹήʔϜΛ࡞ͬͨΓ༡ΜͩΓAIΛ࡞ͬ
    ͨΓͯ͠ൃදͰ͖ͯɺָ͍͠͠ݚڀʹ΋ͭͳ͕ΔΑ
    ͏ͳϓϥοτϑΥʔϜ͕Ͱ͖ͯ޿·Δͱ͍͍ͳʙ

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  129. ิ଍, ࢀߟࢿྉͳͲ
    • https://note.mu/qsona/n/n137733801fd0


    ʹ͢΂ͯ·ͱΊͯ͋Γ·͢

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