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ﻭﺯﻳﺍ ﻪﻣﻳﺳ ﺭﻳﻣﺷﻭﻳ ﺩ ﻲﮐ ﻪﻧﻧﺩ ﻪﭘ + ﻧﻣﮐﺍﻭ ﺩ ۍږ ﻭﺧﺭﺳ ﻡﻳﻭﺩ ﻱﺩﻧﺍ ړ ﻭ ﻪﭘ کﺍﻭ ﻲﺳﺎﻳﺳ ﺩ ﻭﻧﺎﻳﻠﺗﻔﻳ ﻲﻠﺑﺍ ﺩ ﺯ
ﻲﻧﻭﺷ ﻲﺗﺎﭘ ﻭﻧﺎﻳﺭﺍﺩﻳﮐ ﺩ ﺩ ﻲﮐ ﻝﺎﻣﺷ ﻪﭘ ﺵﮐﻭﺩﻧﻫ ﺩ ، ﻩﻭ ﻪﻧ ﻭﻧﻭ $ ﺎﭘ ﻭﺍ ﻪﻧﻭﺗﻣﻭﺎﻘﻣ ﻭﻳﻧﻣﮐﺍﻭ ړ ﻭ ﻭ ﻲﻠﺣﻣ ﻭﺍ
، ﻭﻧﻭﺷ ﻪﺗﺎﭘ ﻭﻧﺎ ﻳﻧﺎﺷﻭﮐ ﻲﻧﻳﭼﻭﮐﺩ ﻲﮐﺍﻭﺧ ﻭﺍ ﺎﺷ ﻝﺑﺎﮐ ﺩ ﻭﺍ ﻭﻧﺍﺭﻳﺷ ﺩ ﻲﮐ ﻭﻣﻳﺳ ﻱﺯﮐﺭﻣ ﻪﭘ ﺩﺍﻭﻳﻫ ﺩ ،
= ﻪ ، ﻭﺗ ﻪﭘ ﻲ B ﻠﻳﺑ ﺩ ، ﻝﻭﮐ ﻪﺗ > ﻧﻣ ﺍﺭ ﻪﻧﻭ ډ ﻧﺧ ﻩﺭﺎﭘﻟ ﻭﺩﻳﺧﺍﺭﭘ ﺩ + ﻧﻣﮐﺍﻭ ﺩ ﻭﻧﺎﻫﺎﭼﺎﭘ ﻲﻠﺗﻔﻳ ﺩ ﺕﺧﻭﺎﻧ ﺕﺧﻭ
ﺩ ﻥﻣﮐﺍﻭ ﻱﺭﺍﺩﻳﮐ ﻲﭼ ﻭﺷﻭ ﺩﻧﺑﺭﻭﺍ ﻪﺗﺳﻭﺭﻭ ېړB ﯥ ﺟ ﻧﺭﺩ ې ﻭﻳ ﺩ > ﻧﻣ ﺭﺗ ﺭﻭ = ﻡﺍﺭﻬﺑ ﻭﺍ ﻭﻧﺎﻳﺭﺍﺩﻳﮐ ﺩ
ﺍﺩﻣﻫ ( ﻝﺎﮐ ږ ﺩ ﻳﺯ ٤٥٩ ) ﻩﺩﻭ ږ ﻩ ﮐ 3 ﻳ 3 ﺎﻏ ﻪﺗ ﺩﻧﺑ ﺭﻭﺍ ﺩ ې ﻭﮑﻳ ړ ﺍ ﻪﭘ ﻩﺩﺍﻭ ﺩ ﻩﺭﺳ ﺭﻭﺧ ﺩ ﺎﭼﺎﭘ ﻲﻧﺎﺳﺎﺳ
ﻲﻠﺑﺎﮐ ﺩﻧﺍ ﻪﭘ ﺕﺭﺍﻭﮐﺭﺎﻣ + ﮑﻧﻭ $ ﻳ ړ ﻲﻧﺎﻣﻟﺍﺩ ، ﻭﻟﻭﻳﻧﻭ ﻩﺭﻻ B ﻧ + ﺑﺭﺗ ﺩ ﻩﺭﺳ ﻭﻧﺎﻫﺎﭼﺎﭘ ﻲﻠﺗﻔﻳ ﺩ ﯥ ﻳ ﺕﺧﻭ
ﻭﻧﺎﻧﻣﮐﺍﻭ ﻲﻠﺑﺍﺯ ﺩ ﻲﭼ ﻪﺟﻭ ﻪﭘ ﻭﺎﺑﺩ ﻭﺍ ﺭﻭﺯ ﻪﻐﻫ ﺩ ، ﻱ ږ ﻳﺩﺎﻳ ﻡﻫ ﻡﻭﻧ ﻪﭘ ﻭﻧﺎﻳﻧﺎﺷﻭﮐ ﻲﻧﭼﻭﮐ ﺩ ﻲﭼ ﻭﻧﺎﻫﺎﭼﺎﭘ
. . ﻝﺩﻳﭼﻭﮐﻭ ﻪﺗ ﺭﻭ 3 ﻳﭘ ﻭﺍ ﻩﺩﻭ ﺭﭘ ﻳ 3 ﯥ ﻳ ﺎﺳﻳﭘﺎﮐ ﻪﻧﻳﻣﺯﻼﭘ ﻝﭘﺧ ﻭﻭ + ﻠﻏﺍﺭ ﺭﭘ ﺍﻭﺧ ﻪﻟ
ﻭﻐﻫﺩ ﻭﺍ ﻥﺎﻳﻠﺗﻔﻳ ﻲﻠﺑﺍﺯ ﻲﭼ ﻩﻭ ﻪﺗﺧﻭﺑ ﻪﻐﻫ ﻪﻠﺑ ﻝﻭﮐ ﻱﺩﻧﻻ ﻭﻣﻳﺳ ﻭﻳﻭﻧ ﺩ ﻭﺍ ﻝﺩﻳﺧﺍﺭﭘ + ﻧﻣﮐﺍﻭ ﻲﺳﺎﻳﺳ ﺩ
ﻲﻠﺑﺍﺯ ﻪﺗﺳﻭﺭﻭ + ﻧﻣﮐﺍﻭ ﺭﺗ ﻥﺍﻭﺭﻳﺷ ﻭﻧﺍ ﺩ ﻲﮐ ﺱﺭﺎﭘ ﻪﭘ . ﻩﻭ ﻥﻣژ ﻪﺗﺭﻭ ﻥﺍﺭﺷﻣ ﻱ ړ ﻭﺎﻳﭘ ﺭﻳﻣﺷﻭﻳ
ﻭﻣﻳ ﺳ ﻲﻟﺎﻣﺷ ﺵﮐﻭﺩﻧﻫ ﻭﺍ ﺩﻧﻫ ﺩ A ﺎ ی ﻳ ﯥ ﺭﭘ ﺱﺭﺎﭘ ﺩ ﻭﺍ ږ ﮐ ړ ﻩ ﻟ ﻱﺭﻭﻟ ﻪﻟ ﺱﺭﺎﭘ ﺩ ﻪﻧﻳﻣ ﻪﻠﭘﺧ ﻭﻧﺎﻫﺎﭼﺎﭘ
ﺩ ﻲﭼ ﻪﻐﻫ ﻪﻟ ﻪﺗﺳ ﻭﺭﻭ ﻭﻧﺎﻫﺎﭼﺎﭘ ﻲﻠﺗﻔﻳ ﻝﻭﻗ ﻪﭘ ﻭﺷ K ﻧﺎﻳﻟ ﺥﺭﻭﻣ ﻲﻧﻳﭼ ﺩ ، ړ ﻩ ﮐ ﻪﺧﻣ ﻪﺗ ﻭﻟﻭﮐ ﻱﺩﻧﻻ
ﻲﻣﻳﺳ ﯥ ﺗﺭﭘ ﻪﺗﻭ ﺍﻭﺧ ړ ﻭ ﺍﻭﺩ ﺩﻧﺳ ﻭﻣﺍ ﺩ ﻭﺍ ﻭﺍ، کﺎﺑﻳﺯ، ﻥﺎﺧﺍﻭ،ﺭﺎﻳ = ﻭﮐ ﻪﮑﻟ ﻲﺧﺭﺑ ﻲﺗﺎﻳﺯ ﻲﻟﺎﻣﺷ ﺵﮐﻭﺩﻧﻫ
ﻭﺍ ﻪﻠ ﮐ ړ ﻩ ﭘﺧ ﻪﻣﻳﺳ ﺍﺭﺎﻫﺩﻧ = ﺩ ۍړ ﻣﻭﻟ ﻲﮐ ﺭﻭﻟ ﻲﻠﻳﻬﺳ ﻪﭘ ﯥ ﻳ ﺎﻳﺑ ، ﯥ ﺗﺳﻭﺍﺭ ﻱﺩﻧﻻ کﺍﻭ ﻝﭘﺧ ﺭﺗ
ﯥ ﻳﺎﭘﻭﺭﺍ ﻭﺍ ﻱﺩﻧﻫ ﺩ . ﻝﻭﺯﻏﻭ ﻥﻣﻟ ﻭﺗﺎﺣﻭﺗﻓ ﺩ ﺍﻭﺧﺭﭘ ﻭﻠﭘﺧ ﺩ ﻪﺗ ﺭﻭﻟ ﻲﭼﻭ ﯥ ﻳﻭﻟ ﺩﻧﻫ ﺩ ﯥ ﻳﻭﺭﻭﺭﻭ
ﺕ 3 ﺯﺭﺍ ﻝﺑﺍﺯ ﺩ ﻭﺭﻭﺭﻭ ﺕﺎﺣﻭﺗﻓ ﻭﻧﺎﻫﺎﭼﺎﭘ ﻲﻠﺑﺍﺯ ﺩ ﺭﻭﻟ ﺭﭘ ﺩﻧﻫ ﺩ ﻲﭼ ﻪﺗﺷ + ﻟﺍﻭﻳ ﻲﮑ ې ? ﺩ ﺭﭘ ﻭﻧﻳﺧﺭﻭﻣ
ﻭﻟﻭﻳﻧ ﺩ ﻭﻣﻳﺳ ﻭﺧﺍﺭﭘ ﺩﻧﻫ ﺩ ﻡﺎﭘ ﻭﻧﺎﻫﺎﭼﺎﭘ ﻲﻠﺗﻔﻳ ﺩ ﻭﺍ = ﻪ ﻟ ږ ﮐ ړ ﻭﺗ ﻪﭘ ﻲﻧﻳﻣﺯﻼﭘ ﺩ ۍ ﺭﻭﺗﺍﺭﭘﻣﺍ ﻱﺭﺗﺳ ې ﻭﻳﺩ
ﻼﺳﮐﺎﺗ ﻭﺍ ﺭﻭ 3 ﻳﭘ ﺩ ﺕﻳﻌﻗﻭﻣ ﯥ ﻳﺎﻳﻓﺍﺭﻐﺟ 3 ﻪ ﻭﻟﻭ ? ﺭﺗ ﻩﺭﺎﭘﻟ ﺭﺎﮐ ې ﺩﺩ ﻭﺍ ، ﻭﺷ ﺕﺎﻳﺯ ﺭﻭﻟ ﺭﭘ ﻭﻟﻭﮐ ﻩﺭﺍﺩﺍ ﻭﺍ
ﻲﻠﺗﻔﻳ ﻭﺭﻭﻧ ﻪﺗﺭﻭ ﻪﺗ ې ﺩ ﻭﺍ ﺎﻧﺎﻣﺍﺭﻭﺗ ، ﻻﻭﮐ ﺍﺭﻬﻣ . ﻭﻭ ﻪﺧﺭﺑ ﻪﭘ ﻲﻠﻫ ډ ﻭﺍ ﺍﺭﺗﻭﭘ ﻲﻟﺎﺗﻭﭘ ﺩ ﻪﺗﺳﻭﺭﻭ ﺎﻳﺑ ﻭﺍ
< . > / p ﻩﻭﺎﮐ ﻡﺎﭘ ﻪﺗ ﻱﺭﻭﻟ ﻲﻠﻳﻬﺳ ۍ ﺭﻭﺗﺍﺭﭘﻣﺍ ﻲﻠﭘﺧ ﺩ ﻪﻧﺎﻣﻳﭘ ﻪﺗﺎﻳﺯ ﻪﭘ ﻭﻧﺎﻫﺎﭼﺎﭘ
ﺍﻭﺧ ﻲﻠﻳﻬﺳ ﺩ ﻪﻧﺭﻠﻣﺎﭘ ﻪﺗﺎﻳﺯ ﻭﻧﺍﺭﻭﺗﺍﺭﭘﻣﺍ ﻭﻳﻭﻟﺩ ﯥ ﻠﺳﻠﺳ ﯥ ﻐﻫ ﺩ ﻭﺍ ﻭﻧﺎﻫﺎﭼﺎﭘ ﻲﻠﺑﺍﺯ ﺩ ﻲﭼ ﻩﺭﺳ ﻩﺭﺳ ې ﺩ ﺩ
ﻭﻠﭘﺧ ﺩ = ﻪ ﻭﺗ ﻪﭘ ﻲﻧﻳﻣﺯﻼﭘ ﻲﻧﺍﻭﺧﭘ ې ﻭﻳﺩ ﻝﺑﺍﺯ ﻭﺧ ، ﻩﻭ ﯥ ﻟﺩﻳ A = ﺭ ﻪﺗ ﻱﺭﻭﻟ ﺩﻧﻫ ﺩ = ﻪ ﻱ ﻭﺗ ړB ﻧﺎ A ﻪﭘ ﻭﺍ
ﯥ ﺳﭘ ﻪﻟ ﺭﭘ ﻪﭘ ﻪﻠﺳﻠﺳ ﻪﻧﻣﮐ ﺍﻭ ﻲﮐ ﻝﺑﺍﺯ ﻪﭘ ، ﻭﻭ ﻥﻣﮐﺍﻭ ﻩﺩﺣ ﻪﺗﺎﻳﺯ ﺭﺗ ﻲﮐ ﻩﺭﺍﺩﺍ ﻭﺍ ﻝﻭﺭﺗﻧﮐ ﻪﭘ ﻭﻣﻳﺳ ﻧ ږ ﺩ ې
ﺭﺗ ﻭ ﻟ ږ ړB ﺟ ﻪﭘ پﺭﺧ ﻭﺍ پﺭﺗ ﺩ ﻩﺭﺳ ﻭﺭﮑ 3 ﻟ ﻲﺑﺭﻋ ﺩ ﻪﺗﺳﻭﺭﻭ ﻭﻐﻫ ﺭﺗ ﻭﺍ ﻭﺭ B ﻠﻏﺭﻳ ﻲﻧﺎﺳﺎﺳ ﺩ = ﻪ ﻭﺗ
ﻡﻼﺳﺍ ﺩ ﻩﺭﺎﭘﻟ ﻡﺍﻭﺩ ﺩ + ﻧﻣﮐﺍﻭ ﻲﻠﭘﺧ ﺩ ﯥ ﻳ ﺏﻳﺗﺭﺗ ې ﺩ ﻪﭘ ﻩﻭﺷ ﻝﺗﺎﺳﻭ ﺕﺧﻭﺑ ﻱﺭﻭﭘ ﻝﺎﮐ ږ ﺩ ﻳﺯ ٦٤٠ ﺭﺗ ﻟ ږ ﻩ
کﺍﻭ ﻝﭘﺧ ﺭﺗ ﻭﺍ ﺩﻭﻟﺭﺩ ﻩﺭﺳ ﻥﺎ A ړ ﺩ ﺗﻼﻣ ﻩﺭﻭﭘ ﻭﺳﻟﻭﺍ ﻭﻠﭘﺧ ﺩ ﻪﻟﺎﻬﻣ ﺭﺗ ﻭﺩﻳﺭﭘﺧ ﻩﺭﻭﭘ ﺭﺗ ﻥﻳﺩ کﺭﺎﺑﻣ
ﻭﺭﮑ 3 ﻟ ﻲﻣﻼﺳﺍ ﺩ ﻲﭼ $ ﻭ ﺭﺗ . ﯥ ﻠﺗﺎﺳﻭ ﻱﺩﻧﺍ ړ ﻭ ﻪﭘ ﻭﻧﺎﻳﻧﺭﻬﺑ ﺩ = ﻪ ﻭﺗ ﯥ ﺳﭘ ﻪﻟ ﺭﭘ ﻪﭘ ﯥ ﻳ ﻲﻣﻳﺳ ﻱﺩﻧﻻ
ﺭﺗ ﻪﺧ $ ﻥﺎﺗﺳﻳﺳ ﺩ ﻭﺍ ﻱﺭﻳﻟ ﻊﻧﺍﻭﻣ ﻝﻭ ? ﻪﻠﺑ ﺎﮐ ﺭﺗ ﻲﮐ ﻩ ړB ﺟ ﻩﺩﻧﺗ ﻩﻭﻳ ﻪﭘ ﻩﺭﻣﺛ ﻥﺑﺍ ﻥﻣﺣﺭﻟﺍﺩﺑﻋ ﺭﺷﻣ ﻭﻳ
ﻲﻠﺑﺍﺯ ﺩ ﻪﺗﺭﻳﺑ ﻲﭼ ﻩﺭﻳﺗ ﻪﻧ ﻩﺩﻭﻣ ﻪﺗﺎﻳﺯ ﻻ ﻩﻭ ﻩ ړB ﯥ ﺟ ﻳﺎﻧ 3 ﻳﺭﺑ ﻩﻭﻳ ﺍﺩ ﻭﺧ ، + ﻟﻭﻳﻧﻭ ﻲﻣﻳﺳ ﻲﻟﻭ ? ﻝﺑﺎﮐ
، ﻝﺩﻳﺯﻏﻭ ﻪﻟﺎﮐ ﻝﺳ ﺭﻭﻧ ږ ﻩ ﻟ ﺭﺗ ﻟ ږ ۍړ ﻟ ﺍﺩ ﻭ ړB ﺟ ﺩ ﻭﺍ ړ ﮐ ﻪﺗﺭﻭﭘ ﻍﺭﻳﺑ + ﮐﺍﻭﻠﭘﺧ ﺩ ﻭﻧﻭﺷ ﻲﺗﺎﭘ ﻭﻧﺎﻫﺎﭼﺎﭘ
. ﻲﺷﺍﺭ ﻱﺩﻧﻻ ﺙﺣﺑ ﺭﺗ ﻲﮐ ﻪﻧ ﺎﻣﺯ A ﻧ + ﻧﻣ ﻪﭘ ﻝﺑﺍﺯ ﺩ ﯥ ﻳ ﻪﺑ ﻪﻧﻭﺩﺎﻳ ﻲﭼ
ﻲﻠﺧﺍ ﻪ ?= ﻪﺧ $ ﺭﻭ ې ﺭﺍﺩﺍ ﻲﺗﻟﻭﺩ ﺱﻭﺍ ﻲﭼ ۍډ ﻧﻭﻏ ﺎﺑﺎﺑ ﺕﻼﮐ ﺩ
. ﻲﮐ ﺭﻭ A ﻧﺍ ﻩﻭﻳ ﻪﭘ ۍډ ﻧﻏ ﻪﻳﻭﻟ ﺕﻼﮐ ﺩ
ﻩﺭﺳ ې ﺩ ﺩ ۍ . ﺩ ﮏﻳﻟﺭﺳ ﻥﻳﺭﺯ ﺦﻳﺭﺎﺗ ﻲﻧﻭﻏﺭﻟ ﺩ ﻭﺍ ﺏﺎﺑ ړ ﻟ + ﺎﻳﻭ ﻲﮐ ﺦﻳﺭﺎﺗ ﻪﭘ ﻥﺎﺗﺳﻧﺎﻐﻓﺍ ﺩ ﻝﺑﺍﺯ : ﻪﻠﻳﺎﭘ
ﺩ ﻪﺗ ﻝﺑﺍﺯ ﻭﺧ، ﻱﻭﺷ ﻱﺩ ﻪﻧ ﻲﻧ ړ ﭘﺳ ﻭﺍ ﻲﻧ $ ﻳ ړ ﻲﻧﻓ ﻭﺍ ﻲﻣﻠﻋ ﻪﺳﻭﺍ ﺭﺗ ﻻ ﻲﮐ ﻪﻣﻳﺳ ﻪﭘ ﻝﺑﺍﺯ ﺩ ﻲﭼ ﻩﺭﺳ
ﻭﻟﺎﮐ ﻭﻧﻭ = ﺭﺯ ﻱ ړ ﺭﺟ ﻲﺧﻳﺭﺎﺗ ﻲﻣﻳﺳ ې ﺩ ﺩ ﻲﭼ ې ﻭﺷ ﻪﺳﻻ ﺭﺗ ﻪﻧﻭﺩﻧﻭﺳﻻ ﺕﺎﻳﺯ ﻲﺳﺍﺩ ﻪﺧ $ ﻭﻣﻳﺳ ﻭﻣﺭﻳ $
، ﻲﻠﻋﺩﺎﻧ ﻥ ﺎﺗﺳﻳﺳ ﺩﻭﺍ ، ﮏ =ډ ﻧﻣ ﺭﺎﻫﺩﻧﮐﺩ ﻪﺗ ﺯﻳﻭﻟ ﻝﺑﺍﺯ ﺩ = ﻪ ﻭﺗ ﻪﭘ ﻲ B ﻠﻳﺑ ﺩ . ﻱﻭﺳﺭ ﻪﺗ ﻭﻧﺎﻣﺯ ﻭﻳﻧﺍﻭﺧﭘ
ﻪﻣﻳﺳ ﺭﻫ ﻲﭼ ﻱﺩ ﻊﻗﺍﻭ ﻲﻣﻳﺳ ﻲﻧﺯﻏ ﻲﻧﻭﻏﺭﻟ ﺩ ﯥ ﻳ ﻪﺗ ﺯﻳﺗﺧ ﻭﺍ ﺏﻭژ ﻭﺍ ﯥ ﻳﻻ ﺭﻭﻟ ? ﻲ ﻭﮐ ﺩ ﯥ ﻳ ﻪﺗ ﻝﻳﻬﺳ
ﻭﻧ ﺍ ړ $ ﻳ ړ ﻲﻧﻓ ﻭﺍ ﻲﻣ ﻠﻋ ﺩ ﻲﮐ ﻝﺑﺍﺯ ﻪﭘ ﻪﮐ ، ﻱﺭﻟ ﻪﻧﻭﺩﻧﻭﺳﻻ ﻭﺍ ﺭﺎﺛﺍ ﻲﻟ ړ ﺎﻳﻭ ﻩﺭﺎﭘﻟ ﺩﺍﻭﻳﻫ ﺩ ږ ﻭﻣﺯ ﻳ ﯥ
ﺭﺗ ﺦﻳﺭﺎﺗ ﻲﻧﻭﻏﺭﻟ ﺩ ﻥﺎﺗ ﺳﻧﺎﻐﻓﺍ ﺩ ﻡﻫ ﻪﺑ ﻲﮐ ﻪﻣﻳﺳ ې ﺩ ﻪﭘ ﻲﭼ ﻭﺷ ی ﻼﻳﻭ ډ ﺍ ډ ﻪﭘ ، ﻲﺷ ﻝﻳﭘ ﺭﺎﮐ ﻭﻧ ړ ﭘﺳ
ﺩ ﻭﺍ ﻭﮐﺍﻭﺭﺎﭼ ﻭﻳﻧﺳﻭﺍ ﻝﺑﺍﺯ ﺩ ې ﺍ ړ ﻩ ﺩ ﻪﭘ . ﻲﺷ ﻪﺳﻻ ﺭﺗ ﻪﻧﻭﺩﻧﻭ ﺱﻻ ﻭﺍ ﺭﺎﺛﺍ ﻥﻣﺗ 3 ﺯﺭﺍ ﻭﺧ ټ ﭘ ﻪﺳﻭﺍ
ﻲﮑ ? ﻱﺩﻧﻻ = ﻪ ﻭﺗ ﻪﭘ ﺯﻳﺩﻧﺍ ړ ﻭ ﺩ ﻪﺗ ﻭﻧﻭﺗﻳﺻﺧﺷ ﻭﻟﺎﭘ ﺭﻭﺗﻠﮐ 3 ﻭ ﮑﺧﻣ ﻲﻣﻳﺳ ې ﺩ ﺩ ﻭﺍ ﻭﻧﻣﮐﺍﻭ ﻭﺭﺎﭼ ﻱﺭﻭﺗﻠﮐ
ړ ﻡ : . ﺍﻭﻏ ﻝﻭﺩﺎﻳ