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イーサリアムの技術 / Ethereum Technology
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Kenji Saito
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September 18, 2019
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イーサリアムの技術 / Ethereum Technology
2019年9月18日(水)、ブロックチェーンハブ主催のブロックチェーンアカデミー「イーサリアムの技術」にて使用したスライドです。
Kenji Saito
PRO
September 18, 2019
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Transcript
ΠʔαϦΞϜͷٕज़ ϒϩοΫνΣʔϯج൫ٕज़ʲϒϩοΫνΣʔϯͷԠ༻ج൫ʳ ϒϩοΫνΣʔϯϋϒ Chief Science Officer / ૣҴాେֶ େֶӃܦӦཧݚڀՊ ڭत
੪౻ ݡ࣐
[email protected]
ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.1/30
͜ͷεϥΠυ https://speakerdeck.com/ks91 ʹஔ͔Ε͍ͯ·͢ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.2/30
؆୯ͳࣗݾհ ੪౻ ݡ࣐ (͍͞ͱ͏ ͚Μ͡) ૣҴాେֶ େֶӃܦӦཧݚڀՊ ڭत ܚጯٛक़େֶ SFC
ݚڀॴ ্੮ॴһɾڥใֶ෦ ߨࢣ (ඇৗۈ) גࣜձࣾϒϩοΫνΣʔϯϋϒ CSO (Chief Science Officer) Ұൠࣾஂ๏ਓϏϤϯυϒϩοΫνΣʔϯ දཧࣄ Ұൠࣾஂ๏ਓΞΧσϛʔΩϟϯϓ දཧࣄ ܦྺ 1993 ɺίʔωϧେֶΑΓֶम࢜߸औಘ (ίϯϐϡʔλαΠΤϯε) 2006 ɺܚጯٛक़େֶΑΓσδλϧ௨՟ͷݚڀͰത࢜߸औಘ (ࡦɾϝσΟΞ) ܚጯٛक़େֶ େֶӃ ࡦɾϝσΟΞݚڀՊ SFC ݚڀॴʹͯ 19 ؒʹΘͨΓ P2P (Peer-to-Peer) ͓Αͼσδλϧ௨՟ͷݚڀʹैࣄ 2011 ՆΑΓౡͷ͜ͲͨͪͷͨΊͷʮΞΧσϛʔΩϟϯϓʯΛؒΒͱ։࠵ ࡢՆ SFC ʹͯ ΞΧσϛʔΩϟϯϓ 2018 ՆʮΦοέʔάʔάϧɺ॓ͬͱ͍ͯʂʯΛ࣮ࢪ ࠓՆ SFC Ͱ ΞΧσϛʔΩϟϯϓ 2019 ՆʮੈքΛ࠶ൃ໌ͤΑ ∼ REINVENT THE WORLDʯΛ࣮ࢪ → ࢲͷ಄ͷதͰͭͳ͕͍ͬͯ·͢ (͜Ε͔ΒͷࣾձͷσβΠϯ͜ͲͨͪͱҰॹʹ) ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.3/30
ࠓճͷςʔϚ ϒϩοΫνΣʔϯʹΑΔΞϓϦέʔγϣϯͷج൫ͱͯ͠։ൃ͞Ε͍ͯΔ ΠʔαϦΞϜʹ͍ͭͯ ΠʔαϦΞϜԾϚγϯ (EVM) ֎෦ΞΫλʔ ࣗΦϒδΣΫτͳͲͷ֓೦ɺ ࣮ํࣜͷಛɺ ਐԽͷํ ͳͲʹ͍ͭͯղઆ͠·͢
ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.4/30
Ethereum ͱʁ Vitalik Buterin, “Ethereum White Paper: A NEXT GENERATION
SMART CONTRACT & DECENTRALIZED APPLICATION PLATFORM” (Dec. 2013∼) ϒϩοΫνΣʔϯٕज़ΛԠ༻ ฏۉϒϩοΫִؒ 15 ඵΛඪ ͦ͜ʹϓϩάϥϛϯάݴޠ (= νϡʔϦϯάશ) ΛࡌͤΔͱ͍͏ΞΠσΞ νϡʔϦϯάશ = ສೳνϡʔϦϯάϚγϯΛΤϛϡϨʔτͰ͖Δ = ϥϯμϜΞΫηεͰ͖Δ (ແݶͷ) ϝϞϦͱ CPU ͔ΒͳΔܭࢉػΛΤϛϡϨʔτͰ͖Δ ⇒ ࣮ࡍʹɺॻ͚ΔछྨͷϓϩάϥϜʹ੍ݶ͕͋Δ ʮࢄΞϓϦέʔγϣϯʯͷͨΊͷج൫ ͨͩ͠ػೳࢄ͢ΔΘ͚Ͱͳ͘ɺෳͳͷͰɺ ʮDAppsʯͱݺΜͰ͠·ͬͨํ͕ଥ DApps = தԝ / தԝࣗಈԽ ΞϓϦ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.5/30
ϒϩοΫνΣʔϯͱঢ়ଶભҠ ϒϩοΫνΣʔϯ = ঢ়ଶϚγϯ (ঢ়ଶભҠγεςϜ) ͷ run = ίϯϐϡʔλͷಈ࡞ ΠʔαϦΞϜͷٕज़
— ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.6/30
༻ޠମܥ Ether Ethereum ʹ͓͚Δ௨՟ ֎෦ΞΫλʔ σδλϧॺ໊Ͱ͖Δ࣮ࡏͰɺΞΧϯτΛͭ EOA : Externally-Owned Account
ࣗΦϒδΣΫτ (෦ΞΫλʔ) γεςϜͰࣗಈ࡞͠ɺΞΧϯτΛͭ ͱݴ͏ͷͷɺϝοηʔδΛૹΒͳ͍ͱಈ͔ͳ͍ (ͦͯ͠ϚΠφʔ͕ಈ͔͢) ΞΧϯτ Ether ߴΛͪɺετϨʔδ (ঢ়ଶ) EVM ίʔυΛͯΔ EVM ίʔυ εϚʔτίϯτϥΫτͷϓϩάϥϜ εϚʔτίϯτϥΫτ = Ethereum ʹ͓͚ΔԠ༻ϓϩάϥϜ ̸ = εϚʔτͳܖ ϒϩοΫνΣʔϯʹॻ͖ࠐ·ΕΔ͜ͱͰਅਖ਼ੑ͕୲อ͞ΕΔ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.7/30
EVM : Ethereum Virtual Machine ࣗΦϒδΣΫτ͕ϝοηʔδΛड͚Δͱىಈ͠ɺίϯτϥΫτΛ࣮ߦɺঢ়ଶΛมԽͤ͞Δ ࣮ߦεςοϓຖʹ Gas ͷڙڅ͕ඞཁ (ແݶϧʔϓΛආ͚ɺ
ʮEVM ͷ࣮ߦऀ = ϚΠφʔʯͷखྉͱͳΔ) ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.8/30
Ethereum ͷόʔδϣϯ Frontier (2015) Homestead (2016) Metropolis Byzantium (2017) zkSNARKs
(θϩࣝূ໌) → Zcash on Ethereum (ZoE) Constantinople + St.Petersburg (2019) ← ࠓίί ޮԽɺঢ়ଶνϟωϧ (for 2nd Layer)ɺProof of Stake ʹ͚ͨௐ Serenity ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.9/30
ϒϩοΫνΣʔϯͷ՝ͱ Ethereum ॾʑͷϒϩοΫνΣʔϯͷ՝ʹରͯ͠ɺݱࡏͷϒϩοΫνΣʔϯͷߟ͑ํͷ ԆͰऔΓΉ ͳͷͰʮϏϤϯυϒϩοΫνΣʔϯʯͰͳ͍ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18
– p.10/30
ϒϩοΫνΣʔϯͷٕज़తͳ՝ͷཧ (࠶ܝ) ඇ࣮࣌ؒੑ (֬తಈ࡞) ൿಗͷࠔੑ (ສਓͷݕূՄೳੑͷ୲อ) ϫϯωε (ࢄ vs. ෳ)
εέʔϥϏϦςΟ͕ͳ͍ (શࢀՃऀʹෳ͞ΕΔͳΒεέʔϧ͠ͳ͍) ਐԽͷΨόφϯε͕ࠔ (શһ͕ҰؙͱͳΔඞཁ͕͋ΔͳΒมΘΕͳ͍) ΠϯηϯςΟϒͷϛεϚον (ج൫ͱԠ༻ͰͷࢀՃಈػͷෆҰக) ωΠςΟϒ௨՟ͷՁͰࢧ͑ΒΕ͍ͯΔ (མ͢Δͱͯ͢ͷԠ༻͕ࢭ·Δ) ⇒ θϩϕʔεͰઃܭͤ͠ղ͚Δ ࣮ࡍʹਐߦதͰ͢ (ྫ : BBc-1) ଟ͘ͷாٕज़θϩϕʔεͰߟ͍͑ͯͳ͍ͱ͜Ζ͕ ྫ : ࡞ۀূ໌ͷ͔ͳ͍ϋογϡνΣʔϯվ͟Μ͠์ ྫ : ʮ৽ฉϞσϧʯͰݴ͑ɺۀքࢴࣾใʹࡌͤΔΑ͏ͳ͜ͱΛͯ͠ଘࡏূ໌ʹͳΒͳ͍ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.11/30
Ethereum Ͳ͏औΓΉ͔ ඇ࣮࣌ؒੑ (֬తಈ࡞) ⇒ τϥϯβΫγϣϯΛϑΝΠφϥΠζ͢ΔΈ (Casper; ޙड़) ൿಗͷࠔੑ (ສਓͷݕূՄೳੑͷ୲อ)
⇒ ZoE (Zcash on Ethereum) ϫϯωε (ࢄ vs. ෳ) εέʔϥϏϦςΟ͕ͳ͍ (શࢀՃऀʹෳ͞ΕΔͳΒεέʔϧ͠ͳ͍) ⇒ γϟʔσΟϯάɺPlasma (ޙड़) ਐԽͷΨόφϯε͕ࠔ (શһ͕ҰؙͱͳΔඞཁ͕͋ΔͳΒมΘΕͳ͍) ⇒ ༏͍͠ಠࡋऀ (ۤস) (Benevolent Dictator For Life (BDFL)) ΠϯηϯςΟϒͷϛεϚον (ج൫ͱԠ༻ͰͷࢀՃಈػͷෆҰக) ωΠςΟϒ௨՟ͷՁͰࢧ͑ΒΕ͍ͯΔ (མ͢Δͱͯ͢ͷԠ༻͕ࢭ·Δ) ⇒ ΞϓϦΛ࣮ߦ͍ͨ͠ਓʑ͕ങ͍ࢧ͑Δʁ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.12/30
Ethereum ͷٕज़ͷಛ Proof of Work + φΧϞτɾίϯηϯαε ͔Β ચ࿅͞Εͨ Proof
of Stake + ߹੍ٞ ·ͣݱঢ়ͷઆ໌͔Β ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.13/30
҉߸ֶతϋογϡؔ ϏοτίΠϯ SHA-256 × SHA-256 (ϒϩοΫ/TX μΠδΣετ) SHA-256 × RIPEMD-160
(ެ։ݤμΠδΣετ = ΞυϨεͷݩσʔλ) ೋॏʹద༻͢Δ͜ͱͷҙຯ (1 ஈ͕িಥͨ͠Βʁ) . . . ҙຯແ͍ ઃܭҙਤͱҟͳΔ༻్ʹ༻͍Δ͜ͱʹΑΔ ઃܭҙਤͱͯ͠ܭࢉίετ͕খ͘͞ͳΔΑ͏ʹ࡞ΒΕ͍ͯΔ ϥΠτίΠϯ scrypt (ϝϞϦΛ;ΜͩΜʹ͏) Ethereum Ethash (Dagger-Hashimoto ͷਐԽܗ) (Proof of Work) DAG : Directed Acyclic Graph (༗ඇ८ճάϥϑ) https://github.com/ethereum/wiki/wiki/Ethash Keccak-256 (≈SHA-3) (μΠδΣετ) (Ethash Ͱ෦ͱͯ͠༻͍ΒΕΔ) ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.14/30
GHOST (Greedy Heaviest Observed Subtree) ฏۉϒϩοΫִؒΛ͘ઃఆ͢Δͱ ແବΛ౿ΉϚΠφʔ͕૿͑Δ ແବΛ౿·ͳ͍ϚΠφʔ͕ूத͍͢͠ ⇒ GHOST
ʹΑΓղܾΛࢦ͢ ܥͷखલͷϒϩοΫ () ͚ͩͰͳ͘ɺੜͨ͠ΦʔϑΝϯͰ͋Δ “uncles” Λࢀর্ͨ͠Ͱɺproof of work ͷίετΛܭࢉ͠ɺ࠷ॏ͍ίετ͕ ͔͔ͬͨͷΛશһ͕બ͢Δ (มܗͨ͠φΧϞτɾίϯηϯαε) ߋʹɺuncle ϚΠχϯάใुΛड͚औΔ Ethereum Ͱ uncles ͷࢀরΛ 7 ஈ֊લ·Ͱʹ੍ݶͨ͠ GHOST Λ࠾༻ ࠷ۙͰ uncle gender-neutral ͳޠͰ͋Δ ommer Ͱஔ͖͑ΒΕͭͭ͋Δ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.15/30
Merkle (ϏοτίΠϯͷ߹) ͨͩ͠ Digest = SHA-256 × SHA-256 Ͱ͋ΓɺϒϩοΫϔομʹ
Merkle root ͕ຒΊࠐ·ΕΔ TX ͷଘࡏɺͦΕؚ͕·ΕΔ෦ (֤ͰྡʹདྷΔμΠδΣετ) ͕ఏڙ͞ΕΔͱݕূͰ͖Δ ͱͱফඅࡁ TX ͷσʔλΛফͤΔΑ͏ʹ͢ΔͨΊʹઃܭ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.16/30
มܗϚʔΫϧɾύτϦγΞ IUUQTFOXJLJQFEJBPSHXJLJ3BEJY@USFF ύτϦγΞͷྫ key ҙͷόΠτྻͰ OK PATRICIA (Practical Algorithm To
Retrieve Information Coded In Alphanumeric) Trie (τϥΠ) (key, value) Λදݱ͠ɺݕࡧͰ͖Δ τϥΠͷઅΛࢀর͢ΔͨΊʹμΠδΣετ͕ΘΕΔ ΛϚʔΫϧϧʔτͱͯ͠ѻ͑Δ ૬ҧɾվ͟Μݕग़͞ΕΔ ֤ཁૉ RLP (recursive length prefix encoding) ʹΑΓ ූ߸Խ͞ΕΔ Ethereum ʹ͓͚Δঢ়ଶɺετϨʔδͷදݱʹΘΕΔ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.17/30
Ethereum ͷਐԽͷํ Proof of Stake ͷظͱ՝ Casper γϟʔσΟϯά ͦͷଞͷٕज़ಈ ΠʔαϦΞϜͷٕज़
— ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.18/30
Proof of Stake ͱʁ ϒϩοΫΛੜͰ͖Δ͕֬ɺ֘ίΠϯͷ࣋ͪͷଟ͞ʹԠ্ͯ͡ঢ͢Δ ࣍ͷརΛͭͱݴΘΕΔ ΤωϧΪʔফඅ͕͍ (ແࢹͰ͖Δ) ू͕ΑΓࠔ (ίΠϯͷաΛॴ༗Ͱ͖Δ͔)
ϐΞίΠϯͳͲͰ࠾༻͞ΕΔ Ethereum Ҡߦ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.19/30
Proof of Stake ͷҰൠࣜ (ݹ͍ߟ͑ํ) Hn (PD + id +
t + . . .) ≤ 2n × balance d Hn : n ϏοτΛग़ྗ͢Δ҉߸ֶతϋογϡؔ (ex. SHA-256 (n = 256)) PD : લͷϒϩοΫͷμΠδΣετ id : ΞΧϯτͷࣝผࢠ (ex. ެ։ݤͷμΠδΣετ) t : ࣌ࠁ (ex. UNIX ࣌ࠁ (ඵ)) balance : ֘ΞΧϯτͷߴ d : қ (ex. ίΠϯͷ૯ྔ) μΠδΣετΛ༻͍Δ PoW ͷܗࣜͰද͞ΕΔ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.20/30
Proof of Stake ͷ 3ͭͷ 1. ίΠϯͷཷΊࠐΈ 2. “Nothing at
Stake” ظత ظత 3. ίετ 51% ߈ܸ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.21/30
ίΠϯͷཷΊࠐΈ ͕࣋ͪଟ͍ํ͕༗རͳͷͰɺίΠϯཷΊࠐ·ΕɺΘΕͳ͍͕ੜ͡Δ ՟ฎϝσΟΞͱͯ͠ͷجຊػೳ્͕͞ΕΔ ରࡦ : Proof of Stake Velocity ݹ͍ίΠϯͷ࣋ͪධՁΛԼ͛Δ
Reddcoin ͳͲͰ࠾༻͞ΕΔ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.22/30
Nothing at Stake - ظత ࣄނ·ͨނҙʹνΣΠϯ͕ذͨ͠߹ɺࢀՃऀʹࣄଶΛऩर͢Δಈػ͕ͳ͍ Կౌ͚͍ͯͳ͍ φΧϞτɾίϯηϯαε͕ҙਤ௨Γʹಇ͔ͳ͍ φΧϞτɾίϯηϯαε =
վ͟Μίετ͕࠷େ͖͍ྺ࢙Λ࠾༻͢Δ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.23/30
Nothing at Stake - ظత γεςϜΛ։࢝ͨ͠ऀԿͰશମΛΓͤΔ δΣωγεϒϩοΫͷ࣌Ͱ࣋ͪ 100% ͦͷଞͷࢀՃऀɺ࣋ͪ͑͋͞Ε͔ͦ͜ΒΓͤΔ ૉͷ
Proof of Stake ͰِΛࢭͰ͖ͳ͍ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.24/30
ίετ 51% ߈ܸ ίΠϯͷաΛऔಘ͢ΔҙࢥͱɺͦͷͨΊͷेͳࢿۚͷূڌΛද໌͢Δ ͢ΔͱɺγεςϜͷਖ਼ৗͳҡ͕࣋ظͰ͖ͳ͍ͱ༧͞ΕΔͨΊɺ ίΠϯͷՁ͕֨ٸམ͢Δ ͦ͜ͰίΠϯΛങ͍ΊΔ ݪཧతʹɺ΄ͱΜͲίετΛΘͣʹίΠϯͷաΛೖखͰ͖Δ ΠʔαϦΞϜͷٕज़ —
ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.25/30
Casper : Ethereum ͰͷऔΓΈ Nothing at Stake ͷରࡦ ࠾༻͞Εͳ͔ͬͨνΣʔϯͰϒϩοΫΛೝΊͨݕূऀΛേ͢Δ (Slasher)
σϙδοτ͞Εͨ stake Λऩ͢Δ σϙδοτΛཱͬͯީิ͢ΔݕূऀͨͪʹΑΔථํࣜ 100 ϒϩοΫߴຖʹʮνΣ οΫϙΠϯτʯΛઃ͚ɺσϙδοτֹʹԠͨ͡ॏΈ ͖ͷථͰਖ਼ͳνΣʔϯΛܾΊΔ ࣍ͷνΣ οΫϙΠϯτ͕ਖ਼Խ͞ΕΔͱɺखલͷνΣ οΫϙΠϯτʮ֬ఆʯ ͱͳΔ ⇒ Ͳ͜·ͰຽओతͰ͍ΒΕΔ͔ʁ ωοτϫʔΫͷஅ͕ى͖͍ͯͳ͍͜ͱ͕લఏʹࢥ͑Δ ى͖ͨ߹ʁ (ෳͷҟͳΔʮ֬ఆ͞Εͨʯྺ࢙͕ੜͨ͡Βʁ) → ϋʔυϑΥʔΫ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.26/30
γϟʔσΟϯά (ਫฏׂ) ݕূ࡞ۀͷݖԽ εέʔϥϏϦςΟʹ͚ͨΞϓϩʔν γϟʔυͷࢀՃΛΊ͙ΔઓུతߦಈΛݗ੍͢ΔͨΊ PoS ͕લఏ PoW ͰγϟʔυؒͰϋογϡϨʔτͷେখ͕ੜ͡ɺ߈ܸ͕༰қ PoS
Ͱσϙδοτͨ͠ओମ͕ಛఆ͞ΕΔͷͰɺ γϟʔυΛΞϧΰϦζϜͰׂΓͯՄ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.27/30
ϖΠϝϯτνϟωϧ (Bitcoin ͷ߹) A-B ؒʹ௨৴νϟωϧ͕ແ͚ΕͳΒͳ͍ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18
– p.28/30
ͦͷଞͷٕज़ಈ µRaiden ϖΠϝϯτνϟωϧ Raiden Network ϖΠϝϯτνϟωϧؒΛϗοϓ͢Δ Plasma ϒϩοΫνΣʔϯͷ֊Խ ϒϩοΫνΣʔϯͷ՝ղܾʹ͚ͯݕ౼͞Ε͍ͯΔٕज़ͷʮશ෦ͷͤʯ ͋Δҙຯɺ࣮ݧγεςϜͱͯ͠ͷ໘༂
ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.29/30
࣭ٞ͝Λ ΠʔαϦΞϜͷٕज़ — ϒϩοΫνΣʔϯج൫ٕज़ — 2019-09-18 – p.30/30