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ࢢ୩ ૱ܒ ΠϯηϓγϣϯσοΩ ͷ͸͡Ί͔ͨɺ ͭ͘Γ͔ͨ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ΘΕΘΕ͸ ͳͥ͜͜ʹ ͍Δͷ͔ ΤϨϕʔλʔ ϐον ύοέʔδ σβΠϯ ΍Δ͜ͱ ΍Βͳ͍͜ͱ Ϧετ ϓϩδΣΫτ ίϛϡχςΟ ٕज़తͳ ղܾࡦ ໷΋຾Εͳ͍ ໰୊ ظؒΛ ݟۃΊΔ τϨʔυΦϑ εϥΠμʔ ͳʹ͕ ͲΕ͚ͩ ඞཁ͔ 8IZΛ໌Β͔ʹ͢Δ )PXΛ໌Β͔ʹ͢Δ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ϫʔΫγϣοϓ ݸͷλϑΫΤενϣ ϯ ʁ ͳΜͷͨΊʹ σοΩΛ ͭ͘Γ·͔͢ σοΩͷΰʔϧσϯαʔΫϧ ͳͥΠϯηϓγϣϯσοΩΛ࡞Δͷ͔ʁ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͳͥΠϯηϓγϣϯσοΩʁ ʮવΔ΂͖ਓ͕ू·͍ͬͯΔ͔ʯ ʮϓϩδΣΫτ͕વΔ΂͖ํ޲Λ ɹ޲͍͍ͯΔ͔ʯ Λ໌Β͔ʹ͢Δ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͳͥΠϯηϓγϣϯσοΩʁ ʮવΔ΂͖ਓ͕ू·͍ͬͯΔ͔ʯ ʮϓϩδΣΫτ͕વΔ΂͖ํ޲Λ ɹ޲͍͍ͯΔ͔ʯ Λ໌Β͔ʹ͢Δ lνʔϜϝϯόʔ͕୭΋͍ͳ͍ͱ͜Ζ Ͱ߹ҙͨ͜͠ͱΛલఏʹ͍ͯ͠Δ͔ ΒɺϓϩδΣΫτ͕μϝʹͳΔz ΞδϟΠϧαϜϥΠ1

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ϫʔΫγϣοϓ ݸͷλϑΫΤε νϣϯ 1+Λ࢝ΊΔલ ʹؔ܎ऀͷೝࣝΛ͋ ΘͤΔ 1+ͷঢ়گ΍എܠʹͭ ͍ͯνʔϜͰ࿩͋ͬ͠ ͓ͯ͘͜ͱͰɺνʔϜ ͸ঢ়گʹԠͨ͡ద੾ͳ ൑அ͕ԼͤΔɻ σοΩͷΰʔϧσϯαʔΫϧ ͳͥΠϯηϓγϣϯσοΩΛ࡞Δͷ͔ʁ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE lϓϩδΣΫτΛ࢝ΊΔલʹ ؔ܎ऀͷೝࣝΛ߹ΘͤΔzͱ͸ʁ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE lϓϩδΣΫτΛ࢝ΊΔલʹ ؔ܎ऀͷೝࣝΛ߹ΘͤΔzͱ͸ʁ ϓϩδΣΫτϝϯόʔ͕ޓ͍ʹ ͍࣋ͬͯΔظ଴Λ໌Β͔ʹ͠ ద੾ʹௐ੔͢Δɻ ظ଴Ϛωδϝϯτ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ظ଴Ϛωδϝϯτ ɾ֬ೝͰ͖ͨ࠷ݹͷॻ੶ ɹʮୡਓϓϩάϥϚʔʯ ɹ˞࠷ۙͰ͸ʮΞδϟΠϧαϜϥΠʯ๜༁൛ίϥϜʹ ɾ1.#0,ͱظ଴Ϛωδϝϯτ ɹୈ൛·Ͱ໌ه͸ͳ͍ɹ ɹୈ൛͔ΒίϛϡχέʔγϣϯϚωδϝϯτͷதʹ ɹୈ൛͔ΒεςʔΫϗϧμʔϚωδϝϯτͱ্ͯ֨͛͠ ɹɹ˞ݸ໨ͷ஌ࣝΤϦΞɹ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ϫʔΫγϣοϓ ݸͷλϑΫΤε νϣϯ 1+Λ࢝ΊΔલ ʹؔ܎ऀͷೝࣝΛ͋ ΘͤΔ σοΩͷΰʔϧσϯαʔΫϧ Ͳ͏΍ͬͯΠϯηϓγϣϯσοΩΛ࡞Δͷ͔ʁ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE )PXUP*ODFQUJPO%FDL ɾͳͥΘΕΘΕ͸σοΩΛ࡞Δͷ͔ ɾݸͷλϑΫΤενϣϯ ɾؔ܎ऀશһͰ ɾσοΩ෼ʙ෼ ɾୟ͖୆࡞ΓશһͰୟ͘੔ཧ ɾࢴ·ͨ͸0OMJOFπʔϧ ɾ;Γ͔͑ΓɺϦϦʔεޙʹݟ௚͢ ɾ։ൃϓϩηεʹ૊ΈࠐΉ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE )PXUP*ODFQUJPO%FDL ɾͳͥΘΕΘΕ͸σοΩΛ࡞Δͷ͔ ɾݸͷλϑΫΤενϣϯ ɾؔ܎ऀશһͰ ɾσοΩ෼ʙ෼ ɾୟ͖୆࡞ΓશһͰୟ͘੔ཧ ɾࢴ·ͨ͸0OMJOFπʔϧ ɾ;Γ͔͑ΓɺϦϦʔεޙʹݟ௚͢ ɾ։ൃϓϩηεʹ૊ΈࠐΉ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1SPDFTT ϓϩδΣΫτͷํ޲෇͚ ΠϯηϓγϣϯσοΩ ཁٻͷऩूɺݟੵΓɺॱং෇͚ ϢʔβʔετʔϦʔऩू84౳ ϦϦʔεܭը ϦϦʔεܭըϛʔςΟϯά ΠςϨʔγϣϯ։ൃ΁

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ΘΕΘΕ͸ ͳͥ͜͜ʹ ͍Δͷ͔ ΤϨϕʔλʔ ϐον ύοέʔδ σβΠϯ ΍Δ͜ͱ ΍Βͳ͍͜ͱ Ϧετ ϓϩδΣΫτ ίϛϡχςΟ ٕज़తͳ ղܾࡦ ໷΋຾Εͳ͍ ໰୊ ظؒΛ ݟۃΊΔ τϨʔυΦϑ εϥΠμʔ ͳʹ͕ ͲΕ͚ͩ ඞཁ͔ 8IZΛ໌Β͔ʹ͢Δ )PXΛ໌Β͔ʹ͢Δ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ΘΕΘΕ͸ ͳͥ͜͜ʹ ͍Δͷ͔ ΤϨϕʔλʔ ϐον ύοέʔδ σβΠϯ ΍Δ͜ͱ ΍Βͳ͍͜ͱ Ϧετ ϓϩδΣΫτ ίϛϡχςΟ ٕज़తͳ ղܾࡦ ໷΋຾Εͳ͍ ໰୊ ظؒΛ ݟۃΊΔ τϨʔυΦϑ εϥΠμʔ ͳʹ͕ ͲΕ͚ͩ ඞཁ͔ 8IZΛ໌Β͔ʹ͢Δ )PXΛ໌Β͔ʹ͢Δ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1BUUFSO ɾ8IZˠཁٻऩू FQJD ˠ)PX ɹجຊύλʔϯ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩ ΘΕΘΕ͸ ͳͥ͜͜ʹ ͍Δͷ͔ ΤϨϕʔλʔ ϐον ύοέʔδ σβΠϯ ΍Δ͜ͱ ΍Βͳ͍͜ͱ Ϧετ ϓϩδΣΫτ ίϛϡχςΟ ٕज़తͳ ղܾࡦ ໷΋຾Εͳ͍ ໰୊ ظؒΛ ݟۃΊΔ τϨʔυΦϑ εϥΠμʔ ͳʹ͕ ͲΕ͚ͩ ඞཁ͔ 8IZΛ໌Β͔ʹ͢Δ )PXΛ໌Β͔ʹ͢Δ ཁٻ ऩू

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1BUUFSO ɾ8IZˠཁٻऩू FQJD ˠ)PX ɹجຊύλʔϯ ɾ8IZˠ)PXˠཁٻऩू ɹ΍Δ΂͖͜ͱ͕͍͍ͩͨ෼͔͍ͬͯΔ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1BUUFSO ɾ8IZˠཁٻऩू FQJD ˠ)PX ɹجຊύλʔϯ ɾ8IZˠ)PXˠཁٻऩू ɹ΍Δ΂͖͜ͱ͕͍͍ͩͨ෼͔͍ͬͯΔ ɾ8IZˠ)PXˠ(P/P(Pˠ8IZˠ)PX ɹϓϩδΣΫτ։࢝൑அ͕ඞཁ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE *ODFQUJPO%FDL1BUUFSO ɾ8IZˠཁٻऩू FQJD ˠ)PX ɹجຊύλʔϯ ɾ8IZˠ)PXˠཁٻऩू ɹ΍Δ΂͖͜ͱ͕͍͍ͩͨ෼͔͍ͬͯΔ ɾ8IZˠ)PXˠ(P/P(Pˠ8IZˠ)PX ɹϓϩδΣΫτ։࢝൑அ͕ඞཁ ɾ8IZЋ ɹ؆қతʹɻЋͰτϨʔυΦϑεϥΠμʔ౳

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE )PXUP*ODFQUJPO%FDL ɾͳͥΘΕΘΕ͸σοΩΛ࡞Δͷ͔ ɾݸͷλϑΫΤενϣϯ ɾؔ܎ऀશһͰ ɾσοΩ෼ʙ෼ ɾୟ͖୆࡞ΓશһͰୟ͘੔ཧ ɾࢴ·ͨ͸0OMJOFπʔϧ ɾ;Γ͔͑ΓɺϦϦʔεޙʹݟ௚͢ ɾ։ൃϓϩηεʹ૊ΈࠐΉ

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զΘΕ͸ͳͥ͜͜ʹ͍Δͷ͔ wେࣄͳཧ༝ͦͷ wେࣄͳཧ༝ͦͷ wେࣄͳཧ༝ͦͷ ͜ͷϓϩδΣΫτͷࠜװʹ ؔΘΔཧ༝Λͭɺ͜͜ʹॻ͘ ઈରʹ࣮ݱ͠ͳ͚Ε͹͍͚ͳ͍͜ͱͱ͸ʁ

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ΤϨϕʔλʔϐον w <જࡏతͳχʔζΛຬͨͨ͠Γɺ
 જࡏతͳ՝୊Λղܾͨ͠Γ>͍ͨ͠ w <ର৅ސ٬>޲͚ͷɺ w <ϓϩμΫτ໊>ͱ͍͏ϓϩμΫτ͸ɺ w <ϓϩμΫτͷΧςΰϦʔ>Ͱ͢ɻ w ͜Ε͸<ॏཁͳར఺ɺରՁʹݟ߹͏આಘྗͷ͋Δཧ ༝ ϓϩμΫτʹ͓ۚΛ෷͍͍ͨཧ༝ >͕Ͱ͖ɺ w <୅ସखஈͷ࠷ӈཌྷ>ͱ͸ҧͬͯɺ w <ࠩผԽͷܾఆతͳಛ௃>͕උΘ͍ͬͯΔɻ ୭ͷԿΛͲ͏΍ͬͯղܾ͢Δͷ͔

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΠϯηϓγϣϯσοΩͷऑ఺ 8IP

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ΤϨϕʔλʔϐον w <જࡏతͳχʔζΛຬͨͨ͠Γɺ
 જࡏతͳ՝୊Λղܾͨ͠Γ>͍ͨ͠ w <ର৅ސ٬>޲͚ͷɺ w <ϓϩμΫτ໊>ͱ͍͏ϓϩμΫτ͸ɺ w <ϓϩμΫτͷΧςΰϦʔ>Ͱ͢ɻ w ͜Ε͸<ॏཁͳར఺ɺରՁʹݟ߹͏આಘྗͷ͋Δཧ ༝ ϓϩμΫτʹ͓ۚΛ෷͍͍ͨཧ༝ >͕Ͱ͖ɺ w <୅ସखஈͷ࠷ӈཌྷ>ͱ͸ҧͬͯɺ w <ࠩผԽͷܾఆతͳಛ௃>͕උΘ͍ͬͯΔɻ ୭ͷԿΛղܾ͢Δͷ͔

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE 8IPΛݟམͱ͢ͳ 8IPͷ෼͚ͩϐον͕͋Δ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE 8IPͷ෼͚ͩϐον͕͋Δ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE 8IPͷ෼͚ͩϐον͕͋Δ ଞʹ΋λʔήοτ͸͍Δ͔ʁ ̍ͭʹߜΕ͍ͯͳͯ͘େৎ෉͔ʁ l൴Βzͷχʔζʹͳ͍ͬͯΔ͔ λʔήοτ͕͜ͷχʔζΛ͍࣋ͬͯΔͱͨ͠ ࠜڌ͸Կ͔ ʮॏཁͳར఺ʯ͸ɺχʔζΛຬͨ͢ཧ༝ʹͳͬ ͍ͯΔ͔ɻ ʮڝ߹ʯ͕ɺୡ੒Ͱ͖͍ͯͳ͍χʔζΛʮࠩ ผԽཁҼʯ͸ଊ͍͑ͯΔͷ͔ɻ

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ύοέʔδσβΠϯ ϓϩμΫτͷ໊લ ૉఢͳࣸਅ ࠷ߴͷΩϟονίϐʔ Ϣʔβʔ΁ͷΞϐʔϧͦͷ Ϣʔβʔ΁ͷΞϐʔϧͦͷ Ϣʔβʔ΁ͷΞϐʔϧͦͷ Կ͕Ͱ͖Δͷ͔ ޮೳ͸Կ͔

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΍Βͳ͍͜ͱϦετ ΍Δ ΍Βͳ͍ ͋ͱͰႊΊΔ είʔϓʹԿ͕ೖΒͳ͍ͷ͔

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͍͖ͳΓ΍Βͳ͍͜ͱ͸ग़ͤͳ͍

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͍͖ͳΓ΍Βͳ͍͜ͱ͸ग़ͤͳ͍ ϓϩδΣΫτ ։࢝લ 4QSJOU 4QSJOU 4QSJOU/ ʮ͍·͔Β1+Λ ࢝ΊΔͷʹ΍Βͳ͍ ͜ͱͩͬͯ ʯ ʮείʔϓͷௐ੔ ͷͨΊʹɺ͜Ε͸΍ Βͳͯ͘ྑ͍ʯ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ͍͖ͳΓ΍Βͳ͍͜ͱ͸ग़ͤͳ͍ ϓϩδΣΫτ ։࢝લ 4QSJOU 4QSJOU 4QSJOU/ ʮ͍·͔Β1+Λ ࢝ΊΔͷʹ΍Βͳ͍ ͜ͱͩͬͯ ʯ ʮείʔϓͷௐ੔ ͷͨΊʹɺ͜Ε͸΍ Βͳͯ͘ྑ͍ʯ ։ൃ΁ͷظ଴Λ໌Β͔ʹ͢Δ είʔϓΛ໌Β͔ʹ͢Δ ޙͰείʔϓௐ੔Ͱ͖ΔΑ͏ʹߟ͑ํΛἧ͓͑ͯ͘ τϨʔυΦϑεϥΠμʔ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΍Δ͜ͱ΍Βͳ͍͜ͱͰ։ൃ΁ͷ ظ଴Λ໌Β͔ʹ͢Δ

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5PTIJIJSP*DIJUBOJ"MM3JHIUT3FTFSWFE ΍Δ͜ͱ΍Βͳ͍͜ͱͰ։ൃ΁ͷ ظ଴Λ໌Β͔ʹ͢Δ ʮνʔϜͰίϛϡ χέʔγϣϯΛͬ͠ ͔ΓͱΓͳ͕ΒਐΊ ͍ͨʯ ؔ܎ऀͷ։ൃ΁ͷࢥ͍Λ೺Ѳ͢Δ ʮυΩϡϝϯτʹ શͯͷ͜ͱΛॻ͖ද ͢ͷ͸ແཧɻʯ ʮ͋ͳͨͷ͍ۤܦݧΛڭ͍͑ͯͩ͘͞ʯ

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ϓϩδΣΫτίϛϡχςΟ͸ ίΞνʔϜ ˓˓άϧʔϓ ଞͷνʔϜ ΄͛΄͛෦໳ ؔ܎ऀશһΛʂ ࢥ͍ͬͯΔΑΓ΋ͣͬͱେ͖͍ʂ εςʔΫϗϧμʔͱͷؔ܎Λ໌Β͔ʹͤΑ

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ٕज़తͳղܾࡦͷ֓ཁ ˡϦεΫ͕͋ΔՕॴ ˡࠓճ͸ର৅֎ ࠾༻͢Δٕज़ ϓϩάϥϛϯάݴޠ ϥΠϒϥϦ πʔϧ ͦͷଞͷཁૉٕज़ ͲΜͳٕज़΍ΞʔΩςΫνϟΛ࠾༻͢Δͷ͔

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τϨʔυΦϑɾεϥΠμʔ యܕతͳϑΥʔε ػೳΛͥΜͿἧ͑Δ είʔϓ ༧ࢉ಺ʹऩΊΔ ༧ࢉ ظ೔Λࢮक͢Δ ࣌ؒ ߴ͍඼࣭ɺগͳ͍ܽؕ ඼࣭ MAX MIN MAX MIN MAX MIN MAX MIN ্هҎ֎Ͱॏཁͳ͜ͱ ؆୯ʹ࢖͑Δ ߟ͑ͤ͞ͳ͍ʂ ৄࡉͳূ੻ ͳΜͰ΋ϩάΛऔΔ ͳͲͳͲ MAX MIN MAX MIN MAX MIN MAX MIN ԿΛ༏ઌ͢Δ΂͖ͳͷ͔ɻ൑அج४͸Կ͔

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໷΋຾Εͳ͘Α͏ͳ໰୊͸ԿͩΖ͏ w΋͠ى͖ͨΒ͜Θʔ͍͜ͱɺͦͷ w΋͠ى͖ͨΒ͜Θʔ͍͜ͱɺͦͷ w΋͠ى͖ͨΒ͜Θʔ͍͜ͱɺͦͷ ͲΜͳϦεΫ͕͋Δͷ͔ɻ

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Զͨͪͷl"νʔϜz ਓ਺ ໾ׂ ڧΈ΍ظ଴͢Δ͜ͱ ΞφϦετ ඞཁͳ෼͚ͩඞཁͳͱ͖ʹ෼ੳ͢ΔελΠϧͰಇ͚Δɻ
 ςετ΋تΜͰख఻͑Δɻ ૉૣ͍܁Γฦ͠ܕͷ։ൃελΠϧͰಇ͚Δɻ
 ։ൃऀ $ɺ.7$/&5ɺK2VFSZɺ42- ϢχοτςετɺϦϑΝΫλϦϯάɺ5%%ɺ
 ܧଓతΠϯςάϨʔγϣϯ Ϛωʔδϟ ސ٬ͱ௚઀إΛ߹ΘͤͯͷίϛϡχέʔγϣϯΛ୲౰͢Δɻ ঢ়گใࠂɺείʔϓௐ੔ɺ༧ࢉ؅ཧɺϨϙʔτϥΠϯ΁ͷใࠂ ୭͕ͲΜͳ໾ׂΛ୲͏ͷ͔ɻମ੍ɻ

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ॳճͷϦϦʔεʹඞཁͳ΋ͷ ໊ɺϲ݄ɺ, ϦϦʔε ߏங डೖςετ τϨʔχϯά dϲ݄ िؒ िؒ ظؒΛݟۃΊΔ Ͳͷ͘Β͍ͷظؒͰԿ͕͍͘ΒͰग़དྷΔͷ͔