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研究会発表資料.pdf
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Taiki Nakamura
September 29, 2022
Research
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研究会発表資料.pdf
Taiki Nakamura
September 29, 2022
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Transcript
̋தଜହو Տ ౬ޱজॏ ߁༑ ٢Ұ 1 આ໌จੜΛ༻͍ͨ ಈ࡞ߦಈ༧ଌ ใॲཧֶձ
ୈճࣗવݴޠॲཧݚڀձ ౦େӃɾใཧ ཧԽֶݚڀॴΨʔσΟΞϯϩϘοτϓϩδΣΫτ
ݚڀഎܠ ▪ػցֶशʹΑΔΩϟϓγϣχϯάͷݚڀ ը૾৴߸ͷ؍ଌΛݴޠʹΑͬͯཧղ͢ΔΩϟϓγϣχϯάͷݚڀ͕ਐల <7JOZBMT :PV> ݴޠʹΑΓσʔλʹઆ໌ΛՃ͑Δ͜ͱͰػց ਓؒʹཧղՄೳͳܗͰσʔλͷղऍ͕Մೳ ▪Ԡ༻ઌɿੜ׆ࢧԉϩϘοτͳͲͷੜ׆ۭؒͰಈ࡞͢ΔγεςϜ
ਓؒͱͷڞੜۭؒͰಈ࡞͢ΔγεςϜਓ͕ؒղऍՄೳͳܗͰঢ়گཧղΛߦ͏͜ͱ͕·͍͠ ݴޠʹΑΔঢ়گཧղɿ؍ଌͨ͠ਓͷߦಈ <5BLBOP>ɼϩϘοτ͕ߦ͏ଟ༷ͳ؍ଌ <:VHVDIJ> ▪γεςϜʹΑΔڠௐతࢧԉͷͨΊͷߦಈ༧ଌ Ϣʔβʹରͯ͠ڠௐతͳࢧԉΛظ ঢ়گཧղ͚ͩͰͳ͘ظ͞ΕͨߦಈΛཧղɾ༧ଌ͢Δඞཁ ؍ଌঢ়ଶ͔Β࣍ͷߦಈΫϥεΛࣝผ <4PBOT>ɼݱࡏͱཧঢ়ଶ͔ΒߦಈΫϥεΛਪఆ <$IBUJMB> ࢧԉ༰͕େͳϩϘοτˠ͍ͣΕࣄલఆٛ͞ΕͨߦಈΫϥεΛ༻͍͓ͯΓॊೈͳঢ়گཧղ͕ࠔ
ຊݚڀͷత ▪ࢧԉγεςϜͷͨΊͷঢ়گͱཧঢ়ଶʹجͮ͘ॊೈͳಈ࡞ߦಈ༧ଌͷ࣮ݱ ಈ࡞ߦಈ༧ଌͷୈҰาͱͯ͠ΩϟϓγϣχϯάΛ༻͍ͨಈ࡞ߦಈ༧ଌͷλεΫΛ৽ͨʹઃఆ ࢹ֮ใͰߏ͞ΕΔ ݱࡏͷঢ়ଶͱཧঢ়ଶ͔ΒͦͷؒͰγεςϜ͕ߦ͏͖ߦಈ ΛจͰੜ ຕͷը૾͔ΒࠩΛද͢จΛੜ <1BSL>ɼຊݚڀͰߦ͏͖ߦಈΛද͢จΛੜ
ϢʔβࢧԉγεςϜͷॊೈͳঢ়گཧղ ͓Αͼ γεςϜͱϢʔβͷదͳใڞ༗ Λ࣮ݱ ϑΥʔΫͷҐஔ͕Ҡಈͨ͠ɽ ຕͷը૾ؒͷࠩΛද͢จΛੜ<1BSL> ϑΥʔΫΛࡼͷʹฒΔɽ ຕͷը૾ؒͰߦ͏͖ߦಈΛද͢จΛੜ
ຊݚڀͷߩݙ ▪ࢧԉγεςϜͷͨΊͷঢ়گͱཧঢ়ଶʹجͮ͘ॊೈͳಈ࡞ߦಈ༧ଌͷ࣮ݱ ը૾ରͱͦͷؒͰߦ͏͖ಈ࡞ߦಈͷΩϟϓγϣϯΛؚΉΩϟϓγϣϯσʔληοτߏங ಈ࡞ߦಈͷΩϟϓγϣϯΛΑΓྑ͘ग़ྗͰ͖ΔิॿλεΫΛ༻͍ͨΩϟϓγϣϯੜͷϞσϧߏங ▪Ωϟϓγϣϯσʔληοτͷߏங ΫϥυιʔγϯάΛར༻͓ͨ͠Αͦ ݅ͷಈ࡞ߦಈ༧ଌͷͨΊͷσʔληοτߏங ▪ิॿλεΫΛ༻͍ͨΩϟϓγϣϯੜͷϞσϧߏங
σʔλ͕গͳ͍߹ ը૾͔ΒೝࣝՄೳͳใΛิॿใͱͯ͠ޮՌతʹ༻ <:BPɼ-J> ओޠؔతޠ͔ΒͳΔใͰ͋Δ γʔϯάϥϑΛิॿλεΫͱͯ͠༧ଌ͢ΔϞσϧ ࣗಈ͓ΑͼਓखධՁʹΑΓ ิॿλεΫಋೖʹΑΔಈ࡞ߦಈ༧ଌͷਫ਼্ Λ֬ೝ
ΩϟϓγϣχϯάΛ༻͍ͨಈ࡞ߦಈ༧ଌ ▪ຊݚڀͰѻ͏λεΫͷ֓ཁ γεςϜʹԼਤͰࣔ͢Α͏ͳࢧԉಈ࡞ͷલޙͷঢ়ଶΛද͢ ຕͷը૾͕༩͑ΒΕΔ͜ͱΛఆ ࢧԉಈ࡞લͷঢ়ଶ"ɿϩϘοτͳͲͷੜ׆ࢧԉγεςϜ͕؍ଌ͍ͯ͠Δঢ়ଶ ࢧԉಈ࡞ޙͷঢ়ଶ#ɿࢧԉߦಈ ͜͜ͰτΠϨͷศ࠲ͷ֖Λ։͚Δ ͕ऴྃͨ͠ཧঢ়ଶ
ຊݚڀͰ "͓Αͼ #ͷը૾Λೖྗͱ͠ ͦͷؒʹߦΘΕΔಈ࡞ߦಈΛઆ໌จੜʹΑΓ༧ଌ ࢧԉಈ࡞લͷঢ়ଶ " ࢧԉಈ࡞ޙͷঢ়ଶ # τΠϨͷศ࠲ͷ֖Λ։͚Δ Ұਓশࢹը૾ରͷ߹ Ұਓশࢹը૾ରͰՈதΛಈ͖ճΔϩϘοτ͔Βݟͨ؍ଌঢ়ଶΛఆ
ΩϟϓγϣχϯάΛ༻͍ͨಈ࡞ߦಈ༧ଌ ▪ຊݚڀͰѻ͏λεΫͷ֓ཁ γεςϜʹԼਤͰࣔ͢Α͏ͳࢧԉಈ࡞ͷલޙͷঢ়ଶΛද͢ ຕͷը૾͕༩͑ΒΕΔ͜ͱΛఆ ࢧԉಈ࡞લͷঢ়ଶ"ɿϩϘοτͳͲͷੜ׆ࢧԉγεςϜ͕؍ଌ͍ͯ͠Δঢ়ଶ ࢧԉಈ࡞ޙͷঢ়ଶ#ɿࢧԉߦಈ ͜͜ͰτΠϨͷศ࠲ͷ֖Λ։͚Δ ͕ऴྃͨ͠ཧঢ়ଶ
ຊݚڀͰ "͓Αͼ #ͷը૾Λೖྗͱ͠ ͦͷؒʹߦΘΕΔಈ࡞ߦಈΛઆ໌จੜʹΑΓ༧ଌ ࡾਓশࢹը૾ରͰݻఆ͞Εͨੜ׆ࢧԉγεςϜ͔Βݟͨ؍ଌঢ়ଶΛఆ ࢧԉಈ࡞લͷঢ়ଶ " ࢧԉಈ࡞ޙͷঢ়ଶ # ϑΥʔΫΛςʔϒϧͷ্ͷ ࡼͷʹฒΔ ࡾਓশࢹը૾ରͷ߹
Ωϟϓγϣϯ༩ͷͨΊͷީิσʔλऩू ▪ಈ࡞ߦಈʹରԠ͢Δઆ໌จͷऩू ՈఉϩϘοτ͕ߦ͏͖ߦಈΛઆ໌͢ΔͨΊ )PNF"DUJPO(FOPNF%BUBTFU<3BJ>Λ֦ு ▪)PNF"DUJPO(FOPNF%BUBTFU<3BJ> ՈఉͰਓ͕༷ؒʑͳߦಈΛಈըͰه ࡾਓশࢹͷݻఆΧϝϥͱҰਓশࢹͷ಄෦Χϝϥ ମ
ߦಈ ͦͷมԽͷΞϊςʔγϣϯ͕ଘࡏ ମྖҬͷۣܗ͓Αͼϥϕϧ໊ ϥϕϧͷ࣌ؒมԽʹର͢Δγʔϯάϥϑ ˠ <TVCKFDUr SFMBUJPOTIJQ PCKFDU> lصͷ্ͷࡼͷԣʹϑΥʔΫΛஔ͘z ମͷγʔϯάϥϑ͕มԽͨ͠લޙͰ ͓Αͦ ը૾ϖΞީิ Λநग़
ΫϥυιʔγϯάʹΑΔΩϟϓγϣϯ༩ ը૾ϖΞʹରͯ͠ lରͷମʹରͯ͠ͲͷΑ͏ͳಈ࡞ߦಈ͕ߦΘΕ͔ͨzΛ༩ ͦΕͧΕͷΫϥυϫʔΧʔʮຕͷը૾ؒͰରମʹߦΘΕͨಈ࡞ߦಈʯΛղ ࠷ऴతʹΞϊςʔγϣϯͰ͖ͨϖΞ ֶशɿݕূɿςετͱͯ͠ ɿɿ ຕͷը૾ͷঢ়ଶΛຕͷը૾ͷঢ়ଶʹ͢ΔͨΊʹɺ࡞ۀऀԿΛͨ͠Ͱ͠ΐ͏͔ɻ
ମ໊ʮ̋̋ʯΛ༻͍ͯจষͰઆ໌Ͱ͖Δ߹ɼʮઆ໌Ͱ͖ΔʯΛνΣοΫΛೖΕ ମ໊ʮ̋̋ʯΛ༻͍ͯจষͰهड़͍ͯͩ͘͠͞ɻઆ໌Ͱ͖ͳ͍߹ ʮઆ໌Ͱ͖ͳ͍ʯʹνΣοΫΛೖΕɺઆ໌Ͱ͖ͳ͍ཧ༝ΛจষͰهड़͍ͯͩ͘͠͞ɻ ࡾਓশɿରମ͕ԕ͗͢ΔɼମͷҐஔঢ়ଶ͕มԽ͍ͯ͠ͳ͍ɼମʹਓ͕ඃ͍ͬͯΔ Ұਓশɿը૾͕ϒϨ͍ͯΔɼࢹҠಈͨ͠ࡍʹମ͕͍ͣΕ͔ͷը૾Ͱ͍ࣸͬͯͳ͍ Ξϊςʔγϣϯ͕Ͱ͖ͳ͍ͱఆ͞Εͨྫ
طଘݚڀɿઆ໌จੜʹΑΔը૾ؒมԽهड़Ϟσϧ ▪%VBM%ZOBNJD"UUFOUJPO.PEFMʢ%6%"ʣ<1BSL> ̎ຕͷը૾ͷࠩʹணͨ͠આ໌จΛੜ͢ΔͨΊͷϞσϧ ҎԼͷྫͰ "͓Αͼ#͔Βը૾ؒͷࠩͰ͋ΔʮϑΥʔΫͷҐஔ͕Ҡಈͨ͠ʯΛੜ %6%"<1BSL>
طଘݚڀɿઆ໌จੜʹΑΔը૾ؒมԽهड़Ϟσϧ ຕͷը૾͔ΒΤϯίʔυ͞ΕͨಛϕΫτϧΛݩʹࠩϕΫτϧΛܭࢉ ݁߹ ݁߹ϕΫτϧ͔ΒࠩΛද͢ 4QBUJBM"UUFOUJPOΛܭࢉ ͭͷಛϕΫτϧద༻ มԽʹରͯ͠ॏΈ͕͍ͨಛϕΫτϧ͔Β %ZOBNJD"UUFOUJPOʹΑΓը૾มԽͷઆ໌จੜ
%6%"<1BSL>
طଘݚڀɿઆ໌จੜʹΑΔը૾ؒมԽهड़Ϟσϧ 4PGUNBY DSPTTFOUSPQZ -ਖ਼ଇԽ߲ &OUSPQZਖ਼ଇԽ߲ %6%"<1BSL>
ຊλεΫʹ͓͚Δ%6%"ͷ ▪ମؒͷؔମͱߦಈͷؔΛଊ͑Δ͜ͱ͕ࠔ ը૾ؒͷ͔ࠩΒʮςʔϒϧͷ্ͷࡼʯʮࡼͷͷϑΥʔΫʯͷؔΛֶश͢Δ͜ͱ͕ࠔ ͜͏ͨؔ͠ΛֶशͰ͖ͳ͍߹ ੜ͞ΕͨจʹӨڹ͕ग़ΔʢྫɿϑΥʔΫΛஔ͘ɽʣ ॊೈͳঢ়گཧղͷͨΊͷจੜͷͨΊʹϞσϧʹମؒͷؔΛ҉ʹೝࣝͤ͞Δඞཁ͕͋Δ ▪ମؒͷؔମͱߦಈͷ͕ؔ໌ࣔ͞Εͨγʔϯάϥϑͷ׆༻ γʔϯάϥϑʹ
ମؒͷؔମͱߦಈͷ͕ؔৄࡉʹهࡌ ը૾͝ͱʹଘࡏ <ຊݚڀ>γʔϯάϥϑ༧ଌΛิॿλεΫͱ͠ Ϟσϧ͕ମؒͷೝࣝΛ֫ಘ͢Δ͜ͱΛظ <QFSTPOIPMEJOHGPSL> <EJTIPOUBCMF> <QFSTPOQVUUJOHGPSL> <EJTIOFYUUPGPSL> <EJTIPOUBCMF> ࠨը૾ͷγʔϯάϥϑ ࠨը૾ͷγʔϯάϥϑ
ఏҊख๏ɿઆ໌จੜʹΑΔظಈ࡞ߦಈ༧ଌϞσϧ ▪%6%"γʔϯάϥϑ༧ଌΛߦ͏ิॿλεΫΛಋೖ γʔϯάϥϑ TVCKFDUSFMBUJPOTIJQPCKFDU Λ܁Γฦ͠༧ଌ͢ΔิॿλεΫΛ৽ͨʹઃఆ γʔϯάϥϑΛิॿతʹ༻͍Δ͜ͱͰ ߦಈΫϥεΛదʹөͨ͠આ໌จ Λग़ྗ͢Δ͜ͱΛظ
4PGUNBY DSPTTFOUSPQZ -ਖ਼ଇԽ߲ &OUSPQZਖ਼ଇԽ߲ %6%"Ϟσϧͷଛࣦؔ ఏҊ๏ͷଛࣦؔ ิॿλεΫʹؔ͢Δଛࣦ߲ʢߏ ຊλεΫ
ͱಉ༷ʣ ຊλεΫʹؔ͢Δଛࣦ߲ʢߏ %6%"ͱಉ༷ʣ ֤λεΫͷଛࣦॏΈ ఏҊख๏ɿઆ໌จੜʹΑΔظಈ࡞ߦಈ༧ଌϞσϧ
࣮ݧઃఆ ▪ଛࣦؔͷઃܭ ઢܗิ ɿຊλεΫͱิॿλεΫͷॏΈΛ Ћݻఆɽ ަޓֶशɿຊλεΫͱิॿλεΫͷॏΈΛ FQPDI͝ͱʹՄมʹ͠
ަޓʹֶशɽ ˠ ަޓֶश ɿ<α, 1 − α] < >Ͱ FQPDI͝ͱʹೖΕସ͑ɽ ˠ ަޓֶश ɿ<α, 1 − α] < >Ͱ FQPDI͝ͱʹೖΕସ͑ɽ ఏҊ๏ͷଛࣦؔ ֤λεΫͷଛࣦॏΈ
࣮ݧઃఆ ▪γʔϯάϥϑͷઃܭ ༧ଌ͢Δ͖γʔϯάϥϑͷީิ ࢧԉಈ࡞લͱࢧԉಈ࡞ޙͷঢ়ଶʹؔ͢Δγʔϯάϥϑ͕ଘࡏ γʔϯάϥϑͷઃܭͱಈ࡞ߦಈ༧ଌͷਫ਼ͱͷؔ໌Β͔Ͱͳ͍ ˠ ෳͷઃఆΛ༻ҙ ࢧԉಈ࡞લ
<QFSTPOIPMEJOHGPSL> <EJTIPOUBCMF> ࢧԉಈ࡞ޙ <QFSTPOQVUUJOHGPSL> <EJTIOFYUUPGPSL> <EJTIPOUBCMF> γʔϯάϥϑΛશͯ༧ଌ શମ ࢧԉಈ࡞લ͔Βͷ૿Ճ <QFSTPOIPMEJOHGPSL> <EJTIPOUBCMF> <QFSTPOQVUUJOHGPSL> <EJTIOFYUUPGPSL> <EJTIPOUBCMF> ը૾શମͷಛʹ γʔϯάϥϑͷࠩΛ༧ଌ ࠩ <QFSTPOIPMEJOHGPSL> <QFSTPOQVUUJOHGPSL> <EJTIOFYUUPGPSL> มԽ͢Δಛʹ ࢧԉಈ࡞ޙ͔ΒΈͨݮগ
࣮ݧઃఆ ֶशɿݕূɿςετσʔλ ɿɿ ൺֱख๏ ϕʔεϥΠϯ %6%" ɼަޓֶश
ɼަޓֶश ɼઢܗิ ͞ΒʹఏҊ๏Ͱγʔϯάϥϑͷઃఆͱͯ͠ શମ ͱ ࠩ ࣗಈධՁࢦඪ #-&6d#-&6ɼ306(&-ɼ$*%&S ࣗಈධՁࢦඪ ద߹ 1 ɼ࠶ݱ 3 ɼௐฏۉ ' ਓखධՁํ๏ ੜจͷྲྀெੑɼ༰ͷదੑʹؔ͢Δஈ֊ධՁ จͷධՁʹ͍ͭͯ܇࿅Λड͚ͨ ໊ͷΞϊςʔλ ςετσʔλ͔ΒϥϯμϜʹநग़͞Εͨ ϖΞ ग़ྗʹ͓͚Δޠኮ ຊλεΫɿɼิॿλεΫɿ ࣗಈධՁɿੜจͱਖ਼ղςετσʔλͱͷؒͷࣗಈධՁࢦඪΛࢉग़ ࣗಈධՁɿਖ਼ղςετσʔλͷʮ໊ࢺʯʮಈࢺʯʮಈࢺཱࣗʯʹ૬͢ΔޠΛൈ͖ग़͠ܭࢉ
ࣗಈධՁ݁Ռ #-&6 #-&6 #-&6 #-&6 306(&- $*%&S ϕʔεϥΠϯ
ަޓֶश શମ ަޓֶश ࠩ ަޓֶश શମ ަޓֶश ࠩ ઢܗิ શମ ઢܗิ ࠩ
ࣗಈධՁ݁Ռ #-&6 #-&6 #-&6 #-&6 306(&- $*%&S ϕʔεϥΠϯ
ަޓֶश શମ ަޓֶश ࠩ ަޓֶश શମ ަޓֶश ࠩ ઢܗิ શମ ઢܗิ ࠩ ଟ͘ͷ߹Ͱγʔϯάϥϑ༧ଌͷิॿλεΫΛՃ͑Δ͜ͱͰ֤είΞ্͕
ࣗಈධՁ݁Ռ #-&6 #-&6 #-&6 #-&6 306(&- $*%&S ϕʔεϥΠϯ
ަޓֶश શମ ަޓֶश ࠩ ަޓֶश શମ ަޓֶश ࠩ ઢܗิ શମ ઢܗิ ࠩ ަޓֶश͢Δ߹ยํʹॏΈΛՃ͑ͨํ͕֤είΞ্͕
ࣗಈධՁ݁Ռ #-&6 #-&6 #-&6 #-&6 306(&- $*%&S ϕʔεϥΠϯ
ަޓֶश શମ ަޓֶश ࠩ ަޓֶश શମ ަޓֶश ࠩ ઢܗิ શମ ઢܗิ ࠩ ަޓֶशͰͳ͘୯७ͳઢܗิͰ֤είΞ্͕
ࣗಈධՁ݁Ռ ࠶ݱ ద߹ ' ࠶ݱ ద߹ ' ࠶ݱ
ద߹ ' ϕʔε ϥΠϯ ަޓֶश શମ ަޓֶश ࠩ ઢܗิ શମ ઢܗิ ࠩ ໊ࢺ ಈࢺ ಈࢺ ཱࣗ γʔϯάϥϑΛิॿλεΫͱͯ͠༻͍Δ͜ͱͰ໊ࢺɼಈࢺͳͲͷ༰ޠ͕ΑΓग़ݱ
ਓखධՁ݁Ռ ख๏ ྲྀெੑ ༰ ϕʔεϥΠϯ ઢܗิ
શମ ઢܗิ ࠩ γʔϯάϥϑΛิॿλεΫͱͯ͠༻͍Δ͜ͱͰ༰͚ͩͰͳ͘ྲྀெੑվળ
ࣄྫੳ ࢧԉಈ࡞લ ࢧԉಈ࡞ޙ ࢧԉಈ࡞લ ࢧԉಈ࡞ޙ ϕʔεϥΠϯ όεέοτͷதͷΛ όεέοτʹҠͨ͠
γʔϯάϥϑʢશମʣ όεέοτʹೖ͍ͬͯΔΛ ચ୕͍ͯ͠Δ γʔϯάϥϑʢࠩʣ όεέοτͷΛ औΓग़͍ͯ͠Δ ϕʔεϥΠϯ *)ػΛચ͍ͬͯΔ γʔϯάϥϑʢશମʣ ৯ચػʹίοϓΛೖΕͨ γʔϯάϥϑʢࠩʣ ৯ચػͷ͔͝ΛҾ͖ग़͍ͯ͠Δ
݁ ▪ਓؒࢧԉϩϘοτͷͨΊͷঢ়گͱཧঢ়ଶʹجͮ͘ಈ࡞ߦಈ༧ଌ ಈ࡞ߦಈ༧ଌΛΩϟϓγϣχϯάʹΑͬͯݴޠԽ͢ΔΈΛߏங ▪Ωϟϓγϣϯσʔληοτͷߏங ࢧԉಈ࡞લޙͷը૾ʹରͯࠩ͠ͷಈ࡞ʹؔ͢ΔΩϟϓγϣϯΛΫϥυιʔγϯάͰ༩ ▪ิॿλεΫΛ༻͍ͨΩϟϓγϣϯੜͷϞσϧߏங ಈ࡞ߦಈʹؔ࿈͢Δମಈ࡞ʹண͢ΔͨΊγʔϯάϥϑΛิॿλεΫͱͯ͠༧ଌ͢ΔϞσϧ ࣗಈ͓ΑͼਓखධՁʹΑΓ
ิॿλεΫಋೖʹΑΔదͳಈ࡞ߦಈ༧ଌ Λ֬ೝ ▪ࠓޙͷల ຊݚڀͰߏஙͨ͠Ϟσϧ͔Β࣮ࡍʹϩϘοτͷࢧԉಈ࡞ߦಈΛੜ͢ΔΈΛߏங
ࣄྫੳ ࢧԉಈ࡞લ ࢧԉಈ࡞ޙ ࢧԉಈ࡞લ ࢧԉಈ࡞ޙ ϕʔεϥΠϯ Ϙϧʹࡊͷೖͬͨ৯ثΛೖΕΔ γʔϯάϥϑʢશମʣ
ϘϧʹαϥμΛೖΕ͍ͯΔ γʔϯάϥϑʢࠩʣ Ϙϧͷத͔Β৯Λग़͍ͯ͠Δ ϕʔεϥΠϯ Λׯ͠ʹ͔͚͔͚͍ͯͯΔ γʔϯάϥϑʢશମʣ Λׯ͢ γʔϯάϥϑʢࠩʣ Λׯ͠ʹׯ͢