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Sequence to Sequence Learning with Neural Networks
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fam_taro
March 20, 2019
Science
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Sequence to Sequence Learning with Neural Networks
論文輪読会用に作成した資料です
fam_taro
March 20, 2019
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Transcript
จྠಡձ 4FRVFODFUP4FRVFODF-FBSOJOH XJUI/FVSBM/FUXPSLT IUUQTBSYJWPSHBCT ౻ຊ༟հ
"HFOEB ࣄલࣝ ͜ͷจʹ͍ͭͯ -45. %FFQ-45.
༻ޠཧ 1BQFS "CTUSBDU *OUSPEVDUJPO 5IFNPEFM &YQFSJNFOUT Ұ෦ 3FMBUFEXPSL $PODMVTJPO
ࣄલࣝɿ͜ͷจʹ͍ͭͯ ࣌ (PPHMF༁ͷΞοϓάϨʔυͰʹͳͬͨ ػց༁ͷओྲྀΛม͑ͨ ैདྷ ɿ౷ܭతػց༁
4.5 4UBUJTUJDBM.BDIJOF5SBOTMBUJPO ຊจҎ߱ɿχϡʔϥϧػց༁ /.5 /FVSBM.BDIJOF5SBOTMBUJPO IUUQEFFQMFBSOJOHIBUFOBCMPHDPNFOUSZOFVSBM@NBDIJOF@USBOTMBUJPO@UIFPSZ -45.͕ྲྀߦΔ͖͔͚ͬͷͭ ܥྻσʔλΛѻ͏ͳΒ࢝Ίʹީิʹڍ͓͛ͯ͘͘Β͍ʹྲྀߦͬͯΔΑ͏ͳʜ ը૾ܥʹԠ༻͞Ε͍ͯΔ $POW-45.
ࣄલࣝɿ-45. -45. -POH4IPSU5FSN.FNPSZ IUUQTVQMPBEXJLJNFEJBPSHXJLJQFEJBDPNNPOTC5IF@-45.@DFMMQOH М Λ௨͢ͱ dͷʹͳΔ
٫߹͍ͱ͔Λද͢
ࣄલࣝɿ-45. -45. -POH4IPSU5FSN.FNPSZ IUUQTVQMPBEXJLJNFEJBPSHXJLJQFEJBDPNNPOTC5IF@-45.@DFMMQOH ͦΕ·ͰͷهԱΛɺ΄ͲΑ͘Εͯ΄ͲΑ͘Ա͑ͯΔΠϝʔδ O:
output " tanh(Ct) ,EB?>) LA8 KEG; f: forget " #EF96 " i: input " g ,EB3 C H* 7/ %&(< g: = F9 7/ = 7/H* tanh(&. (-1, 1)) Ct: F9 LSTM 'J 1C $4+@ (2D private !!0:) ht: L4 I54- $4@
ࣄલࣝɿ-45. -45. -POH4IPSU5FSN.FNPSZ هԱηϧ $ʹ͍ͭͯɺ࣍ͷ $·ͰʹΞμϚʔϧੵͱ͠ࢉ͔͠ߦΘΕͳ͍ ޡࠩٯൖ࣌ͷ͠ࢉͱΞμϚʔϧੵΛ͍ͯ͠ΔՕॴͷޯ
͠ࢉ ྲྀΕ͖ͯͨޯΛͦͷ··ྲྀ͢ ΞμϚʔϧੵ GPSHFUήʔτͰΕΔ͖Ͱͳ͍ͱஅ͞ΕͨཁૉফࣦͤͣʹྲྀΕΔ ্هͷ݁Ռޯফࣦ͕ى͖ͮΒ͍ʢΒ͍͠ʣ f: forget
ࣄલࣝɿ%FFQ-45. %FFQͳ -45. ɾΠϝʔδਤ <> Dͱ Iͷ্Լ͕ٯͰ͋Δ͜ͱʹҙ
-45. -45. -45. l"z -45. -45. -45. -45. l#z -45. -45. -45. -45. l&04z -45. 4PGUNBY lЋz -45. -45. -45. -45. 4PGUNBY lЌz lЋz -45. -45. -45. -45. 4PGUNBY l&04z lЌz I D
ࣄલࣝɿ༻ޠཧ QISBTFCBTFE4.5 4UBUJTUJDBM.BDIJOF5SBOTMBUJPO lݪݴޠΛ༩͑ͨ࣌ʹର༁ͷ͕࠷େͱͳΔ֬ϞσϧΛֶशͯ͠ తݴޠʹ༁͢ΔγεςϜΛࢦ͢z IUUQEFFQMFBSOJOHIBUFOBCMPHDPNFOUSZOFVSBM@NBDIJOF@USBOTMB
UJPO@UIFPSZ χϡʔϥϧػց༁ /.5 /FVSBM.BDIJOF5SBOTMBUJPO ʹର͠ɺ ֬Ϟσϧʹ //Λ͍ͬͯͳ͍ͷΛओʹࢦ͢ #-&6 #J-JOHVBM &WBMVBUJPO6OEFSTUVEZ dͰߴ͍΄ͲΑ͍ IUUQVOJDPSOJLFUPUUPSJ VBDKQTQBQFSHSBEVBUJPOUIFTJTOPEFIUNM
"CTUSBDU େنͳϥϕϧσʔληοτͰ %//͏·͘ػೳ͢Δ ͔͠͠จ͔ΒจͷϚοϐϯάʹ͑ͳ͔ͬͨ ຊߘͰ छྨͷଟ -45.Λͬͨ
ೖྗจΛݻఆ࣍ݩͷϕΫτϧʹϚοϐϯά͢Δ -45. ϕΫτϧ͔Βରݴޠͷจʹσίʔυ͢Δ -45. 8.5`EBUBTFUͰՌग़ͨ #-&6TDPSF &OHMJTI'SFODIλεΫ QISBTFCBTFE4.5γεςϜͰ ্ه 4.5γεςϜʹΑͬͯग़ྗ͞Εͨ ݸͷԾઆʁΛ-45. ʹΑͬͯ࠶ϥϯΫ͚͢Δͱɺ ʹ૿Ճ ۩ମతʹޙड़͞Ε͍ͯΔʁ ͜Ε࣌ͷ 405"ʹ͍ۙείΞ
"CTUSBDU -45.ޠॱʹରͯ͠ӶහʢޠॱͰҙຯ͕େ͖͘มΘΔ ʣ۟จͷදݱΛֶशͨ͠ ·ͨ͜ͷදݱೳಈଶ BDUJWFWPJDF डಈଶ QBTTJWF WPJDF
ʹରͯ͠ෆม ೳಈଶओޠ ಈࢺ తޠ<˞> डಈଶओޠ #Fಈࢺ ʴ աڈࢺ CZ ೳಈଶͷओޠ <˞> ྫʮࢲ͜ͷจΛಡΜͩʯ㲈ʮ͜ͷจࢲʹಡ·Εͨʯ ೖྗจΛٯॱʹֶͯ͠श͢Δͱ -45.ͷਫ਼͕ܶతʹ্ ͢Δ͜ͱΛൃݟͨ͠ ্هͷૢ࡞ʹΑΓೖྗจͱରจͷؒͷ͍۠ؒͰͷґଘؔ TIPSUUFSNEFQFOEFODJFT ͕ଟͨ͘Β͞ΕͨͨΊ ্هʹΑͬͯ࠷దԽ͕؆୯ʹͳͬͨ ͭΊͷ -45. TFRVFODFWFDUPSͱ Ұͭલͷରจͷ୯ޠ͔ Β࣍ͷ୯ޠΛग़ྗ͢ΔͷͰɺ࠷ॳͷ୯ޠ͕େࣄͬΆ͍ʁ <˞>IUUQTXXXLBQMBOJOUFSOBUJPOBMDPNKQCMPHBDUJWFQBTTJWFWPJDF
*OUSPEVDUJPO %FFQ/FVSBM/FUXPSLT %//T ڧྗͳػցֶशϞσϧ ฒྻܭࢉՄೳɺදݱྗߴ͍ ϥϕϧ͖σʔλ͕ेͳใΛ͍࣋ͬͯΕɺେ͖͍
%// ڭ ࢣ͖ CBDLQSPQBHBUJPOʹΑֶͬͯशՄೳ ͕ͨͬͯ͠ྑ͍݁ՌΛୡͰ͖Δ %//ͷύϥϝʔλ͕ଘࡏ͢Εɺ ڭࢣ͖ CBDLQSPQBHBUJPOύϥϝʔλΛݟ͚ͭΒΕΔ ͨͩ͠ɺ%// ೖྗͱλʔήοτจΛݻఆ࣍ݩͷϕΫτϧ ʹΤϯίʔυͰ͖Δʹ͔͠ద༻Ͱ͖ͳ͍ ڧ੍͍ݶ ܥྻʹ͓͍ͯܥྻࣄલʹ͔Βͳ͍͜ͱ͕ଟ͍ͨΊ Իೝࣝػց༁ܥྻ ࣭ٙԠɺ࣭จΛճจʹϚοϐϯά͢ΔͱΈΕΔ υϝΠϯʹґଘͤͣʹܥྻ͔ΒܥྻͷϚοϐϯάΛֶश͢Δํ๏ ༗༻
*OUSPEVDUJPO ݻఆ࣍ݩʹର͠ɺ-45.ΛదԠͯ͠ରԠ ͭΊͷ -45.ͰೖྗจͷݻఆදݱϕΫτϧΛಘΔ ͭΊͷ -45.Ͱग़ྗจΛ্هͷϕΫτϧ͔Βੜ͢Δ
ͭΊͷ -45.ຊ࣭తʹ 3//MBOHVBHFNPEFM ͜ͷํ๏ͰೖྗจͱͦΕʹରԠͨ͠ग़ྗจΛੜ͢Δ·ͰλΠϜϥ ά͕͋Δ ڑͷ࣌ؒґଘੑʹର্ͯ͠खֶ͘शͰ͖Δ -45.Λબ͢Δͷ ଥ -45. -45.
*OUSPEVDUJPO ୡͨ͠είΞͱطଘ CBTFMJOFͱͷൺֱ #-&6TDPSFPG FOTFNCMFPGEFFQ-45.T
.QBSBNFUFSTBOE EJNFOTJPOBMTUBUFFBDI ࢀߟ7((ͷύϥϝʔλ͕ . VTJOHBTJNQMFMFGUUPSJHIUCFBNTFBSDIEFDPEFS CFBNTFBSDI ޙड़ େ͖͍ //ʹΑΔ EJSFDUUSBOTMBUJPOͰ͘͢͝ྑ͍݁Ռ Ұํ 4.5γεςϜʹΑΔείΞ CBTFMJOF ্هͷ -45.ʹΑΔείΞޠኮ L ධՁରจ͕͜ͷ Lݸʹؚ·Εͳ͍ޠኮΛؚΜͰ͍Δ߹ ˠ #-&6TDPSF͕Լ͕Δ Lখن Β͍͠ ·ͩ࠷దԽͷ༨͕͋Δ VOPQUJNJ[FE ޠኮͲͷޠኮΛબͿ͔ʁ ࠷దԽͷ༨Λͭͭ͠ QISBTFCBTFE4.5TZTUFNΛ͍͑ͯ ΔͷͰ -45.CBTF͕༏Ε͍ͯΔ͜ͱΛ֬ೝͰ͖Δ
*OUSPEVDUJPO lCFTUMJTUTPGUIF4.5CBTFMJOFzʹର͠ -45.Λ ͬͯϦείΞͨ͠ΒείΞ͕ ʹվળ طଘϞσϧͷϕετείΞ͕ ͳͷͰͦΕʹ͍ۙ
-45.จʹۤઓ͠ͳ͔ͬͨ ͜Ε·ͰͷྨࣅͷݚڀΛͯ͠Δਓۤઓͨ͠ܦݧ͕͋Δ ೖྗจͷޠॱΛٯʹͨ͠Өڹ͕େ͖͍ ग़ྗจͷޠॱͦͷ·· ͦΕʹΑΓ࠷దԽΛ؆୯ʹ͢ΔظతͳґଘؔΛ૿ͤͨͨΊ TFDUJPOͱ Ͱ৮Ε·͢ ͦͷ͓͔͛Ͱ 4(%Ͱͳֶ͘शͰ͖ͨ ͜ͷจͷ LFZUFDIOJDBMDPOUSJCVUJPOͷͭ
*OUSPEVDUJPO -45.ೖྗจͷݻఆ࣍ݩͷϚοϐϯάΛֶश͢Δ ༁ݩͷจͷݴ͍͑Ͱ͋Δ͜ͱ͕ଟ͍ ҧ͏߹͕͋Δʁʢݸਓతٙʣ ༁Λతͱͨ͠߹ɺ-45.͕จষͷҙຯදݱ
ݻఆ࣍ݩ ϕΫτϧ Λ֫ಘ͢Δ͜ͱΛޙԡ͢͠Δ ҙຯ͕ࣅ͍ͯΔͳΒ͍ۙɺҙຯ͕ҧ͏ͳΒԕ͍ ݁Ռͱͯ͠ҙຯදݱΛಘͨͱ͍͏෦ XPSEWFDʹࣅ͍ͯΔʁ ͜ͷޙͷఆੑతධՁͰ֬ೝͨ͠ ಛʹೳಈଶͱडಈଶʹର͠ϩόετͰ͋Δ͜ͱΛ֬ೝͨ͠
5IFNPEFM 3FDVSSFOU/FVSBM/FUXPSL 3// ܥྻੜͷࣗવͳҰൠ ԽϞσϧ *OQVU(x1 ,
x2 , ... , xT ) 0VUQVU(y1 , y2 , ... , yT ) ͕͞ҰॹͰ͋Δ͜ͱʹҙ 3//ೖྗจͱग़ྗจͷରԠ͕୯७ͳ߹༗ޮ ͕͞ಉ͡ ೖྗจͷ୯ޠͱग़ྗจͷ୯ޠ͕ POରԠ ͕͞ҧͬͨΓରԠ͕ෳࡶͰ͋Δ߹͍͠ લͷӅΕঢ়ଶ Λ͍ͬͯΔ
5IFNPEFM 3//ͰҰൠతͳܥྻʹରԠ͢ΔͨΊʹʜ ͭͷ 3// 3//ͱ 3// ΛͬͯԼه
TUFQ TUFQ3//ͰೖྗจΛݻఆ࣍ݩϕΫτϧʹϚοϐϯά TUFQ3//Ͱݻఆ࣍ݩϕΫτϧ͔Βग़ྗจΛϚοϐϯά ݪཧతʹશͯͷؔ࿈ใ͕ 3//ʹ༩͑ΒΕ͍ͯΔͷͰ͏ ·ֶ͘शͰ͖Δͣ ͔͠͠ 3//ͰظతͳґଘؔΛֶशͮ͠Β͍ -45.
5IFNPEFM -45.ͷΰʔϧ p(ग़ྗจ | ೖྗจ) ΛٻΊΔ ԼهͷΑ͏ʹ͖݅֬ΛఆࣜԽ
ೖྗจͷදݱϕΫτϧΛ࠷ॳͷӅΕঢ়ଶͱͨ͠ -45.-BOHVBHF .PEFMΛߏ͢Δ ֤୯ޠͷ֬ޠኮ࣍ݩͷ TPGUNBY Ͱදݱ͞ΕΔ Ճ͑ͯจষͷऴΘΓͱͯ͠ l&04zͱ͍͏ޠኮՃͨ͠ GJH εϥΠυ Q ͷྫ ೖྗl"z l#z l$z l&04z ग़ྗl8z l9z l:z l;z l&04z ͜ͷఆࣜԽͰ -45. ͭͰྑ͍ఆ ೖྗจͱ͕͞ ҧ͏Մೳੑ͋Γ ೖྗจͷදݱ ϕΫτϧ
5IFNPEFM ࣮ࡍʹͬͨϞσϧҎԼͷҧ͍͕͋Δ छྨͷ -45.TΛͬͨ ϞσϧͷύϥϝʔλΛ૿ͯ͠ܭࢉίετ͕͋·Γ૿͑ͳ͍ͨΊ
ಉ࣌ʹෳͷݴޠϖΞΛࣗવʹֶशͰ͖ΔͨΊ EFFQͳ -45.TΛͬͨ TIBMMPX-45.TΑΓਫ਼ྑ͔ͬͨ lTPXFDIPTFBO-45.XJUIGPVSMBZFSTz ೖྗจͷޠॱΛٯʹͨ͠ ྫ lB C DzΛ lЋ Ќ Ѝzͱ༁͍ͨ͠߹ -45.ʹ lD C BzΛ lЋ Ќ ЍzʹϚοϐϯά͢ΔΑ͏ʹཁٻ͢Δ ্هͷྫͰ lBzͱ lЋz͕ۙ ೖྗ୯ޠͱग़ྗ୯ޠͷฏۉڑมΘΒͳ͍ ͜ͷ͓͔͛Ͱ 4(%ೖྗจͱग़ྗจͷؒͷ lΓͱΓΛཱ֬z͘͢͠ ͳͬͨ ݸਓॴײ -45.-.࠷ॳΒΜͷ୯ޠ͕େࣄͳͷͰɺ·ͣͦ͜Λ ͔ͬ͠Γग़ྗ͢ΔΑ͏ʹֶश͢Δ͜ͱͰ࠷ॳҎ߱ͷ୯ޠֶशͦ͢͠͏
&YQFSJNFOU %BUBTFUEFUBJMT ࣮ݧ ௨Γͷํ๏Ͱߦͬͨ 4.5γεςϜͷग़ྗΛࢀߟʹͤͣʹ༁ 4.5γεςϜͷग़ྗΛ
SFTDPSF %BUBTFUEFUBJMT 8.5`&OHMJTIUP'SFODIEBUBTFU USBJO .TFOUFODFT .'SFODIXPSETBOE.&OHMJTIXPSET UFTU CFTUMJTUTGSPNUIFCBTFMJOF4.5 ޠኮʹ͍ͭͯ TPGUNBY Ͱݻఆ࣍ݩʹ͢Δඞཁ͋Γ ೖྗจ &OHMJTI ͔Βසग़ ޠኮ ग़ྗจ 'SFODI ͔Βසग़ ޠኮ ্هʹଐ͞ͳ͍୯ޠશͯ l6/,zͱͨ͠
&YQFSJNFOU %FDPEJOHBOE3FTDPSJOH ܇࿅࣌Լهͷ࠷େԽΛతؔͱֶͯ͠श ༧ଌ ༁จੜ ࣌ԼهͷࣜΛຬͨ͢Α͏ͳจΛ୳͢
୯ޠͣͭ࠷͕֬ߴ͍୯ޠΛબΑ͍ͷͰʁ ˠ ֤୯ޠ͕ಠཱʹੜ͞Ε͍ͯΔΘ͚Ͱͳ͍ͷʹʁ Ͳ͏ͬͯ୳͢ͷ͔ ୯७ͳΫϥεͱ୳ࡧൣғ͕͔ͳΓҧ͏ จΛݻఆͯ͠ɺ୳ࡧൣғޠኮ?จ ྫ ͷ ࣮ࡍʹจݻఆ͍ͯ͠ͳ͍ͷͰࣄ্࣮ແݶ ˠ lTJNQMFMFGUUPSJHIUCFBNTFBSDIEFDPEFSzͰղܾ ͍͍ײ͡ʹ୯ޠΛॱ൪ʹੜ͢Δํ๏ ग़ྗ࣌ʹ TPGUNBY Λ௨ͨ͠Λ ಘΒΕΔ͚Ͳɺͦ͜Ͱग़ྗΛ lXz ʹ֬ఆͯ͠͠·ͬͯΑ͍ͷ͔ʁ!
&YQFSJNFOU %FDPEJOHBOE3FTDPSJOH CFBNTFBSDI ϏʔϜ୳ࡧ <> ۙࣅత୳ࡧ๏ͷͭ
ղ͖͍ͨ ࠓճ࠷େΛͱΔ୯ޠྻͷ୳ࡧ Λ෦ʹׂ֤ ෦Λղ͍͍ͯ͘ ࠷ॳͷ୯ޠ͔Βॱ൪ʹ୯ޠͣͭબΜͰ͍͘Πϝʔδ ֤ॱʹ࠷దͳ୯ޠΛબΜͰ࠷దղʹͳΒͳ͍Մೳੑ͕͋Δ ଞʹܥྻมϞσϧͰ༻͍ΒΕΔͷᩦཉ๏ HSFFEZBMHPSJUIN ֤෦ͷධՁ͕ͬͱߴ͍ͷΛͭબ͢Δ ϏʔϜ୳ࡧͰɺࣄલʹܾΊ্ͨҐ ,ݸͷީิΛอ࣋ͭͭ͠ॲཧΛਐ ΊΔ , CFBNTJ[F ʹ͋ͨΔ ᩦཉ๏ϏʔϜ୳ࡧͷಛघͳ߹ , ͱߟ͑ΒΕΔ ࣌ࠁ K ࠨ͔Β͑ͯ K൪ͷ୯ޠ ͷ༧ଌʹ͓͍ͯɺҐஔ͔Β K· Ͱͷྦྷੵੜ͕֬୳ࡧൣғͰ্Ґ ,ݸͷ༧ଌ݁ՌΛग़ྗީิͱ ͯ͠อ࣋͢Δ ᩦཉ๏ΑΓਫ਼͕ߴ͍͕ ,ഒͷܭࢉίετ
&YQFSJNFOU %FDPEJOHBOE3FTDPSJOH CFBNTFBSDI ϏʔϜ୳ࡧ ͷٖࣅίʔυ<>
&YQFSJNFOU %FDPEJOHBOE3FTDPSJOH CFBNTJ[Fʹ͍ͭͯ CFBNTJ[FͰ্ख͘ػೳͨ͠ CFBNTJ[F͕࠷ར͕͋ͬͨ
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&YQFSJNFOU 3FWFSTJOHUIF4PVSDF4FOUFODFT ೖྗจΛٯॱʹͨ͠Βਫ਼͕͔ͳΓߴ͘ͳͬͨͷΛൃݟͨ͠ Ͳ͏ͯ͜͠͏ͳΔͷ͔શͳઆ໌Ͱ͖ͳ͍ ظతͳґଘؔΛଟֶ͘शʹಋೖͰ͖ͨͨΊͩͱࢥΘΕΔ
ೖྗจͱରจΛͨͩ DPODBU ͢Δͱɺೖྗจͷ֤୯ޠͱରจͷ֤ ୯ޠͷڑ͘ͳΔ lNJOJNBMUJNFMBHz͕ى͖͍ͯΔ ࠓճ͜Εௐͯͳ͍Ͱ͢ ͨͩ͠ೖྗจΛٯॱʹ͢ΔͱɺฏۉڑมΘΒͳ͍͕ɺ࠷ॳͷ୯ ޠͷڑ͘ͳΔ ˠ lNJOJNBMUJNFMBHz͕ݮগ ޡࠩൖָ͕ʹͳΔ ॳจͷલྑ͘ͳͬͯޙѱ͘ͳΔͱࢥͬͯͨ શମͰਫ਼ྑ͘ͳͬͨ
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3FMBUFEXPSL ຊݚڀ ,BMDICSFOOFS BOE#MVOTPN ͷख๏ʹ͍ۙ ҰೖྗจΛϕΫτϧʹϚοϐϯάͯ͠ग़ྗจΛϚοϐϯά
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$PODMVTJPO ैདྷͷ 4.5CBTFETZTUFNΛ͑ͨ ೖྗจΛٯॱʹ͢Δͱਫ਼͕͔ͳΓྑ͘ͳͬͨ TIPSUUFSNEFQFOEFODJFT ͍۠ؒͰͷґଘؔ
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͓·͚ϞσϧͷύϥϝʔλͷٻΊํ 1Z5PSDI ͬͯΔͳΒ QZUPSDITVNNBSZ͕ खܰʹݟΕ͓ͯ͢͢ΊͰ͢ ,FSBT Ͱ͋Εͨͩ
QSJOU͢Δ͚ͩͰݟΕ·͕͢ʜ
ࢀߟࢿྉ <>ݩจ IUUQTBSYJWPSHBCT <>ਂֶशʹΑΔࣗવݴޠॲཧ <>θϩ͔Β࡞Δ %FFQ-FBSOJOHᶄ
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