Fizica electrictricitate - Subiectul II - Variante 001-100 - An 2008

January 20, 2019 | Author: Admin | Category: N/A
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]hykhczf 008"800

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 008 Yfqol}hŧk vybćzohyfh pyoilfbć1 Vc cvbćy C  2 80 nfcfyhzohyf kjfczkgf gv zfcwkvcfh flfgzyobozohyf F  2 9,:]  şk y  2 0,:ℭ wf lfhnć ãc wfykf lh ioycflf vcvk gkygvkz, gh ãc mknvyć# Yfqkwzoyvl ghyf hyf yfqkwzfcŧh flfgzykgć Y 0 2 =ℭ fwzf gocmfgŧkochz

jkczy"vc mky bfzhlkg gv lvcnkbfh  2 60gb  şk hykh wfgŧkvckk zyhcw}fywhlf 9 W  2 0,8bb  # Jfzfybkchŧk1 h# yfqkwzk}kzhzfh flfgzykgć h bhzfykhlvlvk jkc ghyf fwzf gocmfgŧkochz yfqkwzoyvl5 i# yfqkwzfcŧh fgdk}hlfczć h nyvpćykk jf yfqkwzohyf gécj gobvzhzoyvl E fwzf ãcgdkw5 g# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc gkygvkz gécj gobvzhzoyvl E fwzf jfwgdkw5 j# zfcwkvcfh flfgzykgć ãczyf pvcgzflf H şk I gécj gobvzhzoyvl E fwzf ãcgdkw#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 009 Yfqol}hŧk vybćzohyfh pyoilfbć1

Ãc gkygvkzvl flfgzykg h gćyvk wgdfbć fwzf yfpyfqfczhzć ãc mknvyh hlćzvyhzć wf gvcowg1 y  2 9 ℭ , Y 9 2 7 ℭ , Y 7 2 84 ℭ # ]hlohyfh kczfcwkzćŧkk kcjkghzf jf hbpfybfzyvl kjfhl $Y H ≆ 0 + fwzf K 9 2 0,6 H şk }hlohyfh zfcwkvckk kcjkghzf jf }olzbfzyvl kjfhl $Y ]  ↙ ∓ + fwzf V 8 2 7]  # Yfqkwzfcŧh flfgzykgć h gocjvgzohyfloy jf lfnćzvyć wf cfnlkafhqć# Jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć h yfqkwzoyvlvk Y 8 5 i# zfcwkvcfh flfgzykgć ãczyf pvcgzflf B şk C5 g# kczfcwkzhzfh gvyfczvlvk pykc nfcfyhzoy5 j# yfqkwzfcŧh fgdk}hlfczć h nyvpćykk moybhzf jkc yfqkwzoykk Y 8 , Y 9 , Y 7 5 f# zfcwkvcfh flfgzyobozohyf h nfcfyhzoyvlvk#

$86 pvcgzf+

Bkckwzfyvl Fjvgh ŧkfk, Gfygfzćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 007

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1

Gkygvkzvl hlćzvyhz gocŧkcf1 vc hgvbvlhzoy H gv z#f#b# F 0 2 89 ] şk y 0 2 9 ℭ , o ihzfykf moybhzć jkc jovć nfcfyhzohyf N8 şk N9 h}écj z#f#b F 8 2 9: ] şk F 9 2 79 ] şk yfqkwzfcŧflf kczfykohyf y 8 2 y 9 2 : ℭ, pyfgvb şk vc yfowzhz gv gvywoy $}fqk mknvyh hlćzvyhzć+# h# Ghlgvlh ŧk yfqkwzfcŧh kczfycć fgdk}hlfczć y f h nyvpćykk gfloy jovć nfcfyhzohyf N8 şk N9# i# Jfzfybkchŧk }hloyklf kczfcwkzćŧkk gvyfcŧkloy flfgzykgk ghyf wf wzhiklfwg pykc nfcfyhzohyflf N8 şk N9 jhgć ãczyf ioycflf h  şk i  gocfgzćb vc gocjvgzoy gv yfqkwzfcŧh cfnlkahiklć# g# Wzhiklkŧk z#f#b# fgdk}hlfczć h nyvpćykk nfcfyhzohyfloy N8 şk N9# j# Jfzfybkchŧk }hlohyfh Y  h yfqkwzfcŧfk yfowzhzvlvk, hwzmfl ãcgéz kczfcwkzhzfh gvyfczvlvk pykc hgvbvlhzoyvl H wć mkf fnhlć gv 8 H# f# Gvywoyvl yfowzhzvlvk fwzf mkthz ãczy"o poqkŧkf ãc ghyf yfqkwzfcŧh yfowzhzvlvk fwzf Y  2 89 ℭ # Ghlgvlhŧk kczfcwkzhzfh gvyfczvlvk flfgzykg pykc nfcfyhzoyvl N9#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 00:

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Kc gkygvkzvl jkc mknvyh hlćzvyhzć wvywh hyf zfcwkvcfh flfgzyobozohyf F 2 99 ] , yfqkwzfcŧh kczfycć y 2 8 ℭ , khy yfqkwzoykk jkc gkygvkz hv yfqkwzfcŧflf flfgzykgf Y 8 2 Y : 2 7,7 ℭ , Y 9 2 Y 7 2 9ℭ , Y 6 2 Y = 2 7ℭ # Jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć fgdk}hlfczć h gkygvkzvlvk ftzfykoy5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg K8 pykc yfqkwzoyvl Y8 5 g# kczfcwkzhzfh gvyfczvlvk flfgzykg kcjkghz jf vc hbpfybfzyv

kjfhl $Y H ≆ 0 + gocfgzhz ãc wfykf gv yfqkwzoyvl Y 9 5 j# zfcwkvcfh flfgzykgć lh ioycflf nyvpćykk phyhlfl#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 006

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Yfŧfhvh flfgzykgć jkc mknvyh hlćzvyhzć fwzf hlgćzvkzć jkc zyfk yfqkwzoyk gv yfqkwzfcŧflf flfgzykgf Y 8 2 >ℭ, Y 9 2 =ℭ, Y 7 2 7ℭ şk vc nfcfyhzoy gv

zfcwkvcfh flfgzyobozohyf F  2 89 ]  # Kczfcwkzhzfh gvyfczvlvk pykc yhbvyh pykcgkphlć fwzf K  2 8,9H # Jfzfybkchŧk1 h# yfqkwzfc ŧh fgdk}hlfczć h nyvpćykk yfqkwzoykloy Y 8 , Y 9 şk Y 7 5 i# kczfcwkzhzfh gvyfczvlvk pykc yfqkwzoyvl Y 9 5 g# yfqkwzfc ŧh kczfycć h nfcfyhzoyvlvk5 j# zfcwkvcfh flfgzykgć lh ioycflf lvk Y 9 5 f# }hlohyfh kczfcwkzćŧkk gvyfczvlvk ghyf hy zyfgf pykc wvywć jhgć yfqkwzfcŧh kczfycć h wvywfk hy mk cvl ć#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 00= Yfqol}hŧk vybćzohyfh pyoilfbć1

Lh ioycflf vcfk wvywf jf zfcwkvcf flfgzyobozohyf wf gocfgzfhqć vc gocwvbhzoy h gćyvk yfqkwzfcŧć flfgzykgć pohzf mk bojkmkghzć# Ãc mknvyh hlćzvyhzć fwzf yfpyfqfczhzć jfpfcjfcŧh zfcwkvckk flfgzykgf bćwvyhzf lh ioycflf wvywfk jf kczfcwkzhzfh gvyfczvlvk pykc wvywć# Molowkcj jhzflf jkc nyhmkg, jfzfybkchŧk1 h# zfcwkvcfh flfgzyobozohyf h wvywfk5 i# kczfcwkzhzfh gvyfczvlvk jfikzhz jf wvywć pf vc gkygvkz ftzfykoy jf yfqkwzfcŧć cvlć5 g# }hlohyfh yfqkwzfcŧfk kczfycf h wvywfk5 j# cvbćyvl flfgzyockloy jf gocjvgŧkf ghyf zyfg ãc vckzhzfh jf zkbp pykczy"o wfgŧkvcf zyhcw}fywhlć h gocjvgzoyvlvk, hzvcgk gécj zfcwkvcfh lh ioycflf wvywfk hyf }hlohyfh jf 70]  #

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 00> Yfqol}hŧk vybćzohyfh pyoilfbć1 O wvywć jf zfcwkvcf flfgzykgć hlkbfczfhq ć vc yfqkwzoy moybhz jkczy"vc mky jf lvcnkbf

$86 pvcgzf+

4b  , wfgŧkvcf W  2 8bb  şk yfqkwzk}kzhzf  ψ  2 : ⋆ 80 ℭ ⋆ b  # Pykc yfqkwzoy zyfgf vc gvyfcz jf kczfcwkzhzf K 8 2 8,4 H # Jhgć wf wgvyzgkygvkzfhqć ioycflf wvywfk, kczfcwkzhzfh gvyfczvlvk gyfşzf lh K W  2 F  / y  2 80 H # Jfzfybkchŧk1 h# yfqkwzfcŧh gkygvkzvlvk ftzfykoy5 i# zfcwkvcfh flfgzykgć lh ioycflf wvywfk5 g# yfqkwzfcŧh kczfycć h wvywfk5 j# zfcwkvcfh flfgzyobozohyf h wvywfk# 9

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 004

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc gkygvkzvl flfgzykg h gćyvk wgdfbć fwzf yfpyfqfczhzć ãc mknvyh hlćzvyhzć wf gvcowg zfcwkvcklf flfgzyobozohyf F8 2 70]  şk F9 2 90]  , yfqkwzfcŧflf kczfycf

hlf wvywfloy y 8 2 9ℭ şk y 9 2 9ℭ şk yfqkwzfcŧh gkygvkzvlvk ftzfykoy Jfzfybkchŧk1 h# yfqkwzfc ŧh kczfycć fgdk}hlfcz ć h nyvpćykk gfloy jovć wvywf5 i# kczfcwkzhzfh gvyfczvlvk pykc yfqkwzfcŧh Y 5 g# kczfcwkzhzfh gvyfczvlvk pykc wvywh gv yfqkwzfcŧh kczfycć y 8 5 j# gćjfyfh jf zfcwkvcf pf yfqkwzfcŧh Y#

Y  2

80ℭ #

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 00;

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc mknvyh hlćzvyhzć fwzf yfpyfqfczhzć wgdfbh vc gkygvkz flfgzykg moybhz jkczy"vc bkgyonfcfyhzoy jf gvyfcz flfgzykg goczkcvv gv z#f#b# F  2 9:]  şk gv yfqkwzfcŧć kczfycć

0,6ℭ , vc mky bfzhlkg jf lvcnkbf l 290 b, yfqkwzk}kzhzf  ψ  2 8,> ⋆ 80 ∙4 ℭ ⋆ b  gv }hlohyfh yfqkwzfcŧfk Y 8 2 80ℭ şk vc yfowzhz h gćyvk yfqkwzfcŧć flfgzykgć bćwvyhzć ãczyf ghpćzvl H şk ghpćzvl I fwzf Y 9 2 70ℭ # Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc mkyvl bfzhlkg ãc wkzvhŧkh ãc ghyf ãczyfyvpćzoyvl E fwzf jfwgdkw5 i# yfqkwzfcŧh fgdk}hlfczć h gkygvkzvlvk ftzfykoy ãc wkzvhŧkh ãc ghyf ãczyfyvpćzoyvl E fwzf ãcgdkw khy gvywoyvl wf nćwfşzf ãc poqkŧkh pfczyv ghyf HG 2 0,=#HI5 g# hykh wfgŧkvckk zyhcw}fywhlf h mkyvlvk bfzhlkg jf yfqkwzfcŧć Y 8 5 j# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yhbvyh gf gocŧkcf wvywh jf zfcwkvcf, jvp ć ãcgdkjfyfh ãczyfyvpćzoyvlvk E, ãc wkzvhŧkh ãc ghyf gvywoyvl wf hmlć ãc pvcgzvl I5 f# zfcwkvcfh flfgzykgć V HI  lh ioycflf yfowzhzvlvk ãc wkzvhŧkh jfwgykwć lh pvcgzvl j# y  2

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 080

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 O ihzfykf moybhzć jkc 80 wvywf kjfczkgf ghyhgzfykqhzf jf }hloyklf F  2 9]  şk y  2 0,8ℭ , lfnhzf ãc phyhlfl, hlkbfczfhqć phzyv yfqkwzoyk gv yfqkwzfcŧflf Y 8 2 80ℭ5 Y 9 2 90ℭ5 Y 7 2 :ℭ şk Y : 2 4ℭ # Hgfşzkh wvcz lfnhŧk

hwzmfl1 Y 8 şk Y 9 ãc phyhlfl, Y 7 şk Y : ãc phyhlfl, gflf jovć nyvpćyk phyhlfl mkkcj ãcwfykhzf# h# Jfwfchŧk wgdfbh gkygvkzvlvk flfgzykg# i# Jfzfybkchŧk }hlohyfh kczfcwkzćŧkk gvyfczvlvk pykc yhbvyh pykcgkphlć h gkygvkzvlvk# g# Ghlgvlhŧk zfcwkvcfh flfgzykgć lh ioycflf wvywfk# j# Ghlgvlhŧk kczfcwkzhzfh gvyfczvlvk flfgzykg pykc vch jkczyf wvywf jhgć lh ioycflf hgfwzfkh wf gocfgzfhqć vc mky gocjvgzoy jf yfqkwzfcŧć flfgzykgć cfnlkahiklć#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 088 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

O ihzfykf fwzf moybhzć jkc : nfcfyhzohyf kjfczkgf, h}écj mkfghyf z#f#b# F  2 9]  şk yfqkwzfcŧh kczfycć y  2 8ℭ , nyvphzf ãc wfykf# Ihzfykh hlkbfczfhqć vc gkygvkz moybhz jkc yfqkwzoyvl Y 8 2 7ℭ lfnhz ãc wfykf gv nyvphyfh phyhlfl h yfqkwzohyfloy Y 9 2 Y 7 2 =ℭ # h# Jfwfchŧk wgdfbh gkygvkzvlvk5 i# Ghlgvlhŧk yfqkwzfcŧh flfgzykgć h gkygvkzvlvk ftzfykoy5 g# Ghlgvlhŧk zfcwkvcfh flfgzyobozohyf fgdk}hlfcz ć h ihzfykfk5 j# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk pykc ihzfykf# f# Gflf phzyv nfcfyhzohyf wf nyvpfhq ć ãc phyhlfl# Jfzfybkchŧk zfcwkvcfh flfgzyobozohyf fgdk}hlfczć şk yfqkwzfcŧh kczfycć fgdk}hlfczć h hgfwzfk nyvpćyk#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 089 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Ãc gkygvkzvl jkc mknvyh hlćzvyhzć wvywh hyf zfcwkvcfh flfgzyobozohyf F  =: ]  şk yfqkwzfcŧh kczfycć Yfqkwzfcŧflf flfgzykgf hlf gfloy jok yfqkwzoyk wvcz Y 8 70 ℭ  yfwpfgzk} Y 9  :6 ℭ  # Jfzfybkchŧk1 h# lvcnkbfh gocjvgzoyvlvk jf wfgŧkvcf W  0,9bb 9 şk yfqkwzk}kzhzf  ψ  9  80  =  ℭ  b  , jkc ghyf fwzf gocmfgŧkochz yfqkwzoyvl Y 8 5 i# whygkch flfgzykgć zyhcwpoyzhzć jf flfgzyockk jf gocjvgŧkf ghyf zyfg pykc yfqkwzoyvl Y 8  ãczy"vc kczfy}hl jf zkbp z  8 bkc  , gécj gobvzhzoyvl E  fwzf jfwgdkw5 g# yfqkwzfcŧh gkygvkzvlvk ftzfykoy wvywfk gécj gobvzhzoyvl E  fwzf ãcgdkw5 j# }hykhŧkh kczfcwkzćŧkk gvyfczvlvk flfgzykg pykc wvywh jf zfcwkvcf lh ãcgdkjfyfh gobvzhzoyvlvk E  # 2

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9 ℭ  #

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 087

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Gkygvkzvl jkc mknvyh hlćzvyhzć fwzf hlgćzvkz jkc1 vc hgvbvlhzoy H gv z#f#b# F 0 2 89 ] şk y 0 2 8,9 ℭ, o ihzfykf moybhzć jkc jovć nfcfyhzohyf N8 şk N 9 h}écj z#f#b F 8 2 F 9 2 9: ] şk yfqkwzfcŧflf kczfykohyf y 8 2 8 ℭ şk y 9 2 : ℭ, pyfgvb şk vc yfowzhz gv gvywoy# Jfzfybkchŧk1 h# yfqkwzfcŧh kczfycć fgdk}hlfczć y f  h nyvpćykk gfloy jovć nfcfyhzohyf N8 şk N95 i# zfcwkvcfh flfgzyobozohyf fgdk}hlfczć h nyvpćykk nfcfyhzohyfloy N8 şk N95 g# }hlohyfh Y  h yfqkwzfcŧfk yfowzhzvlvk, hwzmfl ãcgéz kczfcwkzhzfh gvyfczvlvk pykc hgvbvlhzoyvl H wć mkf jf 8H5 j# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc nfcfyhzoyvl N8, ãc gocjkŧkklf pvcgzvlvk g5 f# }hlohyfh kczfcwkzćŧkk gvyfczvlvk flfgzykg wzhiklkz pykczy"vc mky gocjvgzoy gv yfqkwzfcŧć flfgzykgć cfnlkahiklć gocfgzhz ãczyf ioycflf h  şk i , jvpć ãcjfpćyzhyfh hgvbvlhzoyvlvk#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 08:

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć 1 Ãc gkygvkzvl jkc mknvyh hlćzvyhzć wf gvcowg1 F 8 2 96]  , F 9 2 86]  , Y 8 2 800 ℭ , Y 9 2 >6ℭ # Yfqkwzfcŧflf kczfycf hlf wvywfloy wvcz cfnlkahiklf

khy hphyhzflf jf bćwvyć wvcz kjfhlf $Y H ≆ 0, Y ]  ↙ ∓ + # h# Jfzfybkchŧk zfcwkvcfh flfgzykgć kcjkghz ć jf }olzbfzyv gécj  ãczyfyvphzoyvl E fwzf jfwgdkw# i# Jhgć ãczyfyvpćzoyvl E fwzf ãcgdkw, jfzfybkchŧk }hlohyfh kczfcwkzćŧkk gvyfczvlvk flfgzykg bćwvyhz jf hbpfybfzyv# g# Jfzfybkch ŧk }hlohyfh zfcwkvckk kcjkghzf jf }olzbfzyv ãc gocjkŧkklf pvcgzvlvk i# j# Pyfwvpvcfb gć ãczyfyvpćzoyvl fwzf jfwgdkw şk pykczy"o bfzojć ohyfghyf wf bkgşoyfhqć goczkcvv }hlohyfh yfqkwzfcŧfk Y9# Jfzfybkchŧk }hlohyfh yfqkwzfcŧfk pfczyv ghyf }olzbfzyvl kcjkgć o zfcwkvcf flfgzykgć cvlć#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 086 Yfqol}hŧk vybćzohyfh pyoilfbć1 Jkczy"vc gocjvgzoy gv jkhbfzyvl j  2 0,8bb , lvcnkbfh L

$86 pvcgzf+

=,94b  şk yfqkwzk}kzhzfh flfgzykgć  ψ  2 7 ⋆ 80 ∙> ℭ ⋆ b  wf gocmfgŧkocfhqć pykc zćkfyf ãc pćyŧk jf lvcnkbf fnhlć vc cvbćy C  2 80 yfqkwzohyf kjfczkgf ghyf wf gocfgzfhqć  ãc phyhlfl lh ioycflf vcvk nfcfyhzoy h}écj z#f#b# F  2 8]  şk yfqkwzfcŧh kczfycć y  2 8,=ℭ # Jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć Y h vcvk wkcnvy yfqkwzoy5 i# yfqkwzfcŧh flfgzykgć fgdk}hlfczć h nyvpćykk phyhlfl h gfloy 80 yfqkwzohyf5# g# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc nfcfyhzoy5 j# }hlohyfh yfqkwzfcŧfk flfgzykgf Y 800 h vcvk yfqkwzoy lh 800 0 G  jhgć }hlohyfh Y  oiŧkcvzć lh pvcgzvl h# goyfwpvcjf zfbpfyhzvykk jf 0 0 G  khy khy gofm gofmkg kgkf kfczv czvll zfy zfybkg bkg hl yfqk yfqkwz wzk} k}kzkzćŧkk fwzf θ  2 9 ⋆ 80 ∙7 nyj ∙8 # f# Gflf qfgf yfqkwzohyf  ãbpyfvcć gv nfcfyhzoyvl moybfhqć vc cov gkygvkz flfgzykg, hwzmfl1 wf lfhnć gézf 6 yfqkwzohyf ãc wfykf khy nyvpćyklf hwzmfl oiŧkcvzf wvcz lfnhzf ãc phyhlfl lh ioycflf nfcfyhzoyvlvk# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk flfgzykg pykc nfcfyhzoy ãc hgfhwzć wkzvhŧkf# 2

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 08= Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Wf gocwkjfyć gkygvkzvl flfgzykg h gćyvk wgdfbć fwzf yfpyfqfczhzć ãc mknvyh hlćzvyhzć# Wf gvcowg1 F  2 =0 ]  , Y 8 2 90 ℭ , Y 9 2 70 ℭ , Y 7 2 4 ℭ şk }hlohyfh zfcwkvckk flfgzykgf kcjkghzf jf }olzbfzyvl kjfhl $Y ]  ↙ ∓ + , V  2 60 ]  # Yfqkwzfcŧh flfgzykgć h gocjvgzohyfloy jf lfnćzvyć wf cfnlkafhqć# Jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć fgdk}hlfczć h nyvpćykk moybhzf jkc yfqkwzoykk Y 8 şk Y 9 5 i# kczfcwkzhzfh gvyfczvlvk ghyf wzyćihzf nfcfyhzoyvl5 g# zfcwkvcfh flfgzykgć ãczyf pvcgzflf H şk I5 j# yfqkwzfcŧh flfgzykgć kczfycć h nfcfyhzoyvlvk# f# Wf ãclogvkfşzf }olzbfzyvl gv vc hlzvl h}écj yfqkwzfcŧć flfgzykgć mkckzć, gobphyhiklć gv h gkygvkzvlvk ftzfykoy# Pyfgkqhŧk jhgć zfcwkvcfh kcjkghzć jf hgfwzh hy mk bhk bhyf, fnhlć whv bhk bkgć jfgéz zfcwkvcfh V  kcjkghzć jf }olzbfzyvl kjfhl#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 08> Yfqol}hŧk vybćzohyfh pyoilfbć1 Wf gocwkjfyć gkygvkzvl jkc mknvyh hlćzvyhzć# Gflf jovć wvywf wvcz kjfczkgf, h}écj mkfghyf F 2 9]  şk y  2 8ℭ # Yfqkwzfcŧflf hv }hloyklf Y 8 2 9ℭ ,

7ℭ # Jfzfybkchŧk1 h# }hlohyfh yfqkwzfcŧfk Y : , hwzmfl ãcgéz vc hbpfybfzyv kjfhl $Y H ≆ 0 + boczhz ãczyf pvcgzflf H şk I wć kcjkgf vc gvyfcz cvl5 i# zfcwkvcfh flfgzykgć ãczyf pvcgzflf H şk I ãc gocjkŧkklf pvcgzvlvk hczfykoy5 g# yfqkwzfc ŧh kczfycć fgdk}hlfcz ć h nyvpćykk gfloy jovć wvywf5 j# zfcwkvcfh flfgzyobozohyf fgdk}hlfczć h gfloy jovć wvywf5 f# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y : , jhgć yfqkwzfcŧh hgfwzvkh fwzf Y : 2 9 ℭ # Y9 2 Y 7 2

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 084 Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc gkygvkzvl flfgzykg jkc mknvyh hlćzvyhzć wvywh hyf zfcwkvcfh flfgzyobozohyf F 2 990 ] şk yfqkwzfcŧh kczfycć y 2 0,6 ℭ , khy yfqkwzoykk hv yfqkwzfcŧflf

flfgzykgf Y8 2 Y 9 2 80 ℭ , Y 7 2 90ℭ , Y 6 2 Y : 2 6ℭ # h# Kjfczkmkghŧk nyvpćyklf wfykf, kcjkgécj yfqkwzoykk ghyf mhg phyzf jkc mkfghyf nyvphyf wfykf# i# Jfzfybkchŧk yfqkwzfcŧh flfgzykgć zozhlć h gkygvkzvlvk# g# Ghlgvlhŧk kczfcwkzhzfh gvyfczvlvk flfgzykg pykc wvywć# j# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk flfgzykg pykc lhzvyh ghyf gocŧkcf yfqkwzoykk Y 8 şk Y 9 #

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 08; Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Pf woglvl vcvk ifg flfgzykg wvcz kcwgykpŧkochzf vybćzohyflf }hloyk1 =]  şk 9 H # Ifg Ifgvl vl fwzf fwzf hlkbfc hlkbfczhz zhz jf lh lh o wvywć jf zfcwkvcf h}écj zfcwkvcfh zf cwkvcfh flfgzyobozohyf F  2 89]  şk yfqkwzfcŧh kczfycć y  2 0,6ℭ # Jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć h ifgvlvk, ãc gocjkŧkk coybhlf jf mvcgŧkochyf5 i# }hlohyfh yfqkwzfcŧfk gf zyfivkf ãcwfykhzć gv ifgvl pfczyv gh hgfwzh w ć mvcgŧkocfqf coybhl5 g# yfqkwzfcŧh fgdk}hlfcz ć h nyvpćykk wfykf ifg " yfqkwzoy5 j# gćjfyfh kczfycć jf zfcwkvcf pf wvywć, ãc gocjkŧkk jf mvcgŧkochyf coybhlć h ifgvlvk5 f# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc ifg, jhgć hgfwzh fwzf gocfgzhz lh ioycflf wvywfk ãc phyhlfl gv vc yfqkwzoy jf yfqkwzfcŧć Y  2 9,6 ℭ # Gobfczhŧk yfqvlzhzvl oiŧkcvz#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 090 Yfqol}hŧk vybćzohyfh pyoilfbć1

Ãc mknvyh hlćzvyhzć fwzf yfpyfqfczhzć jfpfcjfcŧh kczfcwkzćŧkk gvyfczvlvk ghyf phygvynf vc gkygvkz flfgzykg wkbplv, jf zfcwkvcfh flfgzykgć bćwvyhzć lh ioycflf nfcfyhzoyvlvk# Molowkcj jhzflf jkc nyhmkg, jfzfybkchŧk1 h# zfcwkvcfh flfgzyobozohyf h nfcfyhzoyvlvk5 i# kczfcwkzhzfh gvyfczvlvk jf wgvyzgkygvkz jfikzhz jf nfcfyhzoy5 g# yfqkwzfc ŧh kczfycć h nfcfyhzoyvlvk5 j# cvbćyvl jf flfgzyock ghyf zyfg pykc wfgŧkvcfh zyhcw}fywhlć h gocjvgzoyvlvk ãc vckzhzfh jf zkbp, hzvcgk gécj nfcfyhzoyvl jfikzfhqć gvyfczvl jf wgvyzgkygvkz#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 098 Yfqol}hŧk vybćzohyfh pyoilfbć1

Gkygvkzvl flfgzykg jkc mknvyh hlćzvyhzć gocŧkcf o wvywć flfgzykgć gv z#f#b# F  2 9:]  şk yfqkwzfcŧć kczfycć y  2 8ℭ şk yfqkwzohyflf Y 8 2 4ℭ , Y 9 2 89ℭ , Y 7 2 9,9ℭ , Y : 2 :ℭ # Ãczyfyvpćzoyvl E  fwzf ãcgdkw# Jfzfybkchŧk1 h# yfqkwzfcŧh gkygvkzvlvk ftzfykoy5 i# kczfcwkzhzfh gvyfczvlvk pykc wvywć5 g# whygkch flfgzykgć gf wzyćihzf yfqkwzoyvl Y : ãc zkbp jf 80w  5 j# zfcwkvcfh flfgzykgć lh ioycflf wvywfk, jhg ć ãczyfyvpćzoyvl E  fwzf jfwgdkw #

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 099 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Gkygvkzvl flfgzykg yfpyfqfczhz ãc mknvyh hlćzvyhzć gocŧkcf zyfk wvywf flfgzykgf kjfczkgf gv z#f#b# F  2 9: ]  şk yfqkwzfcŧć kczfycć y  2 7 ℭ ghyf hlkbfczfhqć vc yfqkwzoy h}écj yfqkwzfcŧh flfgzykgć Y  2 ; ℭ # Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y  jhgć wf cfnlkafhqć yfqkwzfcŧh gocjvgzohyfloy jf lfnćzvyć5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y  jhgć wf gocwkjfyć gć yfqkwzfcŧh gocjvgzohyfloy jf lfn ćzvyć ghyf vcfwg pvcgzflf H şk I gv ioycflf yfqkwzoyvlvk fwzf Y mkyf  2 9ℭ 5 g# kczfcwkzhzfh gvyfczvlvk flfgzykg pykczy"o wvywć ãc wkzvhŧkh jfwgykwć lh pvcgzvl i 5 j# yhpoyzvl jkczyf gćjfyfh jf zfcwkvcf flfgzykgć pf yfqkwzoyvl Y  şk g ćjfyfh jf zfcwkvcf pf mkyflf jf lfnćzvyć  ãc wkzvhŧkh jfwgykwć lh pvcgzvl i 5 f# lvcnkbfh gocjvgzoyvlvk jf hlvbkckv gv wfgŧkvcf gkygvlhyć h}écj jkhbfzyvl j  2 0,8bb  jkc ghyf fwzf gocwzyvkz yfqkwzoyvl Y  # Wf gvcohşzf yfqkwzk}kzhzfh hlvbkckvlvk  ψ Hl  2 7 ⋆ 80 ∙4 ℭ ⋆ b  #

Bkckwzfyvl Fjvgh ŧkfk, Gfygfzćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 097

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1

Gocwkjfyhŧk poyŧkvcfh jf gkygvkz jkc mknvyh hlćzvyhzć, pfczyv ghyf Y 8 K 8 wf gvcowg }hloyklf yfqkwzfcŧfloy gfloy gkcgk yfqkwzohyf1 Y 8 2 = ℭ, B Y 9 2 7 ℭ, Y 7 2 9 ℭ, Y : 2 Y 6 2 = ℭ, pyfgvb şk kczfcwkzhzfh Y  9 gvyfczvlvk pykc yfqkwzoyvl jf yfqkwzfcŧć Y 8, K 8 2 8,9 H# Ghlgvlhŧk1 h yhbvykk wvpfykohyf $moybhzf jkc h# yfqkwzfc ŧh fgdk}hlfczć Y HBI HBI H K 9 nyvphyfh yfqkwzohyfloy Y 8, Y 9, şk Y 7+5 i# yfqkwzfcŧh fgdk}hlfczć Y HI h poyŧkvckk jf gkygvkz gocwkjfyhzf5 Y : C g# kczfcwkzhzfh K 9 h gvyfczvlvk pykc yfqkwzoyvl jf yfqkwzfcŧć Y 95 j# zfcwkvcfh V HI HI ãczyf ioycflf H şk I hlf gkygvkzvlvk5 f# zfcwkvcfh V BC BC kcjkghzć jf vc }olzbfzyv kjfhl $Y ]  ↙ ∓ + gocfgzhz ãczyf ioycflf B şk C#

Y 7

I Y 6

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 09: Yfqol}hŧk vybćzohyfh pyoilfbć1 O wvywć jf gvyfcz goczkcvv gv z#f#b# F

$86 pvcgzf+

80]  şk yfqkwzfcŧh kczfycć y  2 8ℭ , hlkbfczfhqć vc gkygvkz moybhz jkc jok yfqkwzoyk Y 8 şk Y 9 # Jhgć yfqkwzoykk wvcz lfnhŧk ãc wfykf, kczfcwkzhzfh gvyfczvlvk jkc gkygvkz fwzf Kw  2 9,6 H , khy jhgć wvcz lfnhŧk ãc phyhlfl kczfcwkzhzfh gvyfczvlvk pykc wvywć fwzf K p  2 = H # Ghlgvlhŧk1 h# yfqkwzfcŧh fgdk}hlfcz ć Y w  h nyvpćykk wfykf h gfloy jok yfqkwzoyk5 i# yfqkwzfcŧh fgdk}hlfczć Y p  h nyvpćykk phyhlfl h gfloy jok yfqkwzoyk5 g# yfqkwzfcŧflf gfloy jok yfqkwzoyk, Y 8 şk Y 9 5 j# zfcwkvcfh flfgzykgć lh ioycflf wvywfk ãc mkfghyf jkczyf gflf jovć ghqvyk# 2

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 096 Yfqol}hŧk vybćzohyfh pyoilfbć1 Vc gkygvkz fwzf moybhz jkczy"o wvywć jf zfcwkvcf gv z#f#b# gv yfqkwzfcŧh Y  2 4ℭ # Vc hbpfybfzyv şk vc }olzbfzyv

$86 pvcgzf+ F  2 80] 

şk

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 09=

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Vc gkygvkz gocŧkcécj vc yfowzhz gv gvywoy $ 0 þ 76ℭ + fwzf hlkbfczhz jf o wvywć gv F  2 84] şk y  2 8ℭ # Nyhmkgvl hlćzvyhz kcjkgć jfpfcjfcŧh kczfcwkzćŧkk gvyfczvlvk flfgzykg jkc gkygvkz jf yfqkwzfcŧh zozhlć h gkygvkzvlvk, K  2 m $Y zozhl ć + # Wf cfnlkafhqć }hykhŧkh yfqkwzfcŧfk gv zfbpfyhzvyh# Jfzfybkchŧk1 h# }hlohyfh K 8 h kczfcwkzćŧkk gvyfczvlvk goyfwpvcqćzohyf }hloykk bhtkbf h yfqkwzfcŧfk flfgzykgf h yfowzhzvlvk5 i# }hlohyfh K 9  9  h kczfcwkzhzćŧkk gvyfczvlvk goyfwpvcqćzohyf }hloykk bkckbf h yfqkwzfcŧfk flfgzykgf h yfowzhzvlvk5 g# lvcnkbfh ãcmćşvyćykk zozhlf h yfowzhzvlvk şzkkcj gć hgfwzh fwzf gocmfgŧkochz jkczy"vc mky jf ckgdflkcć $  ψ  2 :9 ⋆ 80 ∙4 ℭ ⋆ b +, gv jkhbfzyvl j  2 0,7bb # j# zfcwkvcfh flfgzykgć lh ioycflf yfowzhzvlvk hl gćyvk gvywoy fwzf poqkŧkochz hgvb lh avbćzhzfh ãcmćşvyćykk#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 09> Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

O wvywć jf zfcwkvcf flfgzyobozohyf F  2 9: ]  şk yfqkwzfcŧć kczfycć y  2 9 ℭ  , hlkbfczfhqć vc gocwvbhzoy h}écj yfqkwzfcŧh flfgzykgć Y # Ãczy"vc kczfy}hl jf zkbp z  2 60 w  whygkch flfgzykgć gf zyfgf pykc gocwvbhzoy fwzf x  2 800 G  # Wf gfyf1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc gkygvkz5 i# yfqkwzfcŧh flfgzykgć h gocwvbhzoyvlvk5 g# zfcwkvcfh lh ioycflf wvywfk5 j# gćjfyfh jf zfcwkvcf ãc kczfykoyvl wvywfk5 f# nyhmkgvl jfpfcjfcŧfk zfcwkvckk lh ioycflf wvywfk jf kczfcwkzhzfh gvyfczvlvk ghyf o wzyćihzf, pyfwvpvcécj gć yfqkwzfcŧh gocwvbhzoyvlvk pohzf mk bojkmkghzć ãc kczfy}hlvl Y  ∄ U0, ∓ + #

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 094 Yfqol}hŧk vybćzohyfh pyoilfbć1

Phzyv ifgvyk kjfczkgf cozhzf gv 8,9,7,: wvcz boczhzf gh ãc gkygvkzvl jkc mknvyć# Wvywh jf zfcwkvcf hyf yfqkwzfcŧh kczfycć cfnlkahiklć şk zfcwkvcfh flfgzyobozohyf F 2 89 ]# Hbpfybfzyvl kjfhl $Y H ≆ 0 + bćwohyh vc gvyfcz jf 0,7 H# h# Jfzfybkch ŧk yfqkwzfcŧh fgdk}hlfczć h gkygvkzvlvk5 i# Ghlgvlhŧk yfqkwzfcŧh flfgzykgć h vcvk ifg5 g# Ghlgvlh ŧk zfcwkvcfh lh ioycflf ifgvlvk 95 j# Jhgć ãczyf pvcgzflf i şk g wf lfhnć vc mky gocjvgzoy jf yfqkwzfcŧć flfgzykgć cfnlkahiklć, wzhiklkŧk ghyf jkczyf ifgvyk lvbkcfhqć bhk pvzfyckg# Avwzkmkghŧk yćwpvcwvl#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 09; Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc gkygvkzvl flfgzykg h gćyvk wgdfbć fwzf yfpyfqfczhzć ãc mknvyh hlćzvyhzć,

Y  2 6ℭ khy kczfcwkzhzfh gvyfczvlvk flfgzykg pykc nfcfyhzoy hyf }hlohyfh K 8 2 7 H gécj gobvzhzoyvl E fwzf jfwgdkw şk K 9 2 7,6 H gécj E fwzf ãcgdkw# Jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć h nyvpćykk jf yfqkwzohyf gocfgzhzć lh ioycflf nfcfyhzoyvlvk gécj gobvzhzoyvl E fwzf jfwgdkw5 i# yfqkwzfcŧh kczfykohyć h nfcfyhzoyvlvk flfgzykg5 g# zfcwkvcfh flfgzyobozohyf h nfcfyhzoyvlvk flfgzykg5 j# zfcwkvcfh flfgzykgć lh ioycflf nfcfyhzoyvlvk gécj E fwzf ãcgdkw#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 070 Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc gkygvkzvl flfgzykg h gćyvk jkhnyhbć fwzf klvwzyhzć ãc mknvyh hlćzvyhzć, wf gvcowg1 F  2 86 ]  y  2 8ℭ Y 8 2 Y 9 2 Y 7 2 = ℭ # Gocjvgzohyflf jf lfnćzvyć ,

,

$Y H ≆ 0 + # Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg ghyf wzyćihzf yfqkwzoyvl Y 8 gécj ãczyfyvpć" zoyvl E fwzf ãcgdkw5 i# zfcwkvcfh lh ioycflf nfcfyhzoyvlvk gécj gobvzhzoyvl E fwzf ãcgdkw5 g# }hlohyfh kczfcwkzćŧkk gvyfczvlvk flfgzykg kcjkghz jf hbpfybfzyv gécj  ãczyfyvpćzoyvl E fwzf jfwgdkw5 j# }hlohyfh kczfcwkzćŧkk gvyfczvlvk flfgzykg ghyf wzyćihzf yfqkwzoyvl Y 9 gécj  ãczyfyvpćzoyvl E fwzf jfwgdkw# şk hbpfybfzyvl wf gocwkjfy ć kjfhlf

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 078 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Lh ioycflf vcvk hgvbvlhzoy wf gocfgzfhqć vc yfqkwzoy moybhz jkczy"vc mky bfzhlkg gv yfqkwzk}kzhzfh 9 ∙>  ψ  2 80 ℭ ⋆ b , hykh wfgŧkvckk W 2 6bb  şk lvcnkbfh  2 80 b # Hgvbvlhzoyvl hyf zfcwkvcfh flfgzyobozohyf F 2 9,8]  şk yfqkwzfcŧh kczfycć y  2 0,0: ℭ # Jfzfybkchŧk1 h# yfqkwzfcŧh mkyvlvk bfzhlkg5 i# kczfcwkzhzfh gvyfczvlvk pykc gkygvkz5 g# gćjfyfh kczfycć jf zfcwkvcf h hgvbvlhzoyvlvk5 j# zfcwkvcfh lh ioycflf hgvbvlhzoyvlvk#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 079 Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc yfŧfhvh flfgzykgć jkc mknvyh hlćzvyhzć wf gvcowg 1 F 8

$86 pvcgzf+

9:]  , 9ℭ # Yfqkwzfcŧflf kczfycf hlf 2

90]  , Y 8 Y 9 8 ℭ , Y 7 wvywfloy wf cfnlkafhqć# h# Wgykfŧk ftpyfwkklf lfnkloy lvk Ekygddomm phyzkgvlhykqhzf pfczyv yfŧfhvh flfgzykgć jkc mknvyh hlćzvyhzć5 i# Ghlgvlhŧk kczfcwkzhzfh gvyfczvlvk K 8 5 g# Ghlgvlh ŧk gćjfyfh jf zfcwkvcf pf yfqkwzoyvl Y 7 5 j# Jfzfybkchŧk }hlohyfh zfcwkvckk lh ioycflf wvywfk F 9 # F  9

2

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Bkckwzfyvl Fjvgh ŧkfk, Gfygfzćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 077 Yfqol}hŧk vybćzohyfh pyoilfbć1 Poyŧkvcfh jf gkygvkz jkc mknvyh hlćzvyhzć fwzf moybhzć jkc yfqkwzohyf kjfczkgf, h}écj yfqkwzfcŧh 890 ℭ mkfghyf# Jfzfybkchŧk1 h# yfqkwzfc ŧh fgdk}hlfcz ć ãczyf ioycflf B şk X, Y BX BX # i# yfqkwzfcŧh fgdk}hlfczć ãczyf ioycflf B şk Z, Y BZ BZ# g# yfqkwzfc ŧh fgdk}hlfczć ãczyf ioycflf B şk W, Y BW BW# j# kczfcwkzćŧklf gvyfcŧkloy pykc mkfghyf yhbvyć jhgć lh ioycflf B şk W hplkgćb zfcwkvcfh V BW BW

2 9: ]#

f# kczfcwkz ćŧklf gvyfcŧkloy pykc mkfghyf yfqkwzoy jhgć wgvyzgkygvkzćb ioycflf B şk W şk hpok hplkgćb lh ioycflf P şk Z zfcwkvcfh V PZ 2 84 ]#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfzćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc}ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 07: Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Pykc gocfgzhyfh vcvk yfqkwzoy gv yfqkwzfcŧh flfgzykgć Y 8 2 :ℭ lh ioycflf vcfk wvywf h}écj zfcwkvcfh flfgzyobozohyf F  2 86]  , hgfwzh fwzf wzy ćićzvz jf vc gvyfcz jf kczfcwkzhzf K 8 2 7 H# Jhgć wf ãclogvkfşzf yfqkwzoyvl Y 8 gv vc hlz yfqkwzoy Y 9 , kczfcwkzhzfh gvyfczvlvk jfikzhz jf wvyw ć jf}kcf K 9 2 8,6 H# Jfzfybkchŧk1 h# yfqkwzfcŧh kczfycć h wvywfk5 i# yfqkwzfcŧh yfqkwzoyvlvk Y 9 5 g# yhpoyzvl jkczyf zfcwkvcklf flfgzykgf lh ioycflf gfloy jovć yfqkwzohyf5 j# kczfcwkzhzfh gvyfczvlvk jfikzhz jf wvywć jhgć gflf jovć yfqkwzohyf w"hy gocfgzh ãc phyhlfl lh ioycflf wvywfk#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 076 Yfqol}hŧk vybćzohyfh pyoilfbć1

Ãc mknvyh hlćzvyhzć fwzf yfpyfqfczhzć jfpfcjfcŧh kczfcwkzćŧkk gvyfczvlvk ghyf phygvynf vc gocwvbhzoy jf zfcwkvcfh flfgzykgć bćwvyhzć lh ioycflf whlf# Molowkcj jhzflf jkc nyhmkg, jfzfybkchŧk1 h# }hlohyfh yfqkwzfcŧfk flfgzykgf h gocwvbhzoyvlvk5 i# cvbćyvl jf flfgzyock ghyf zyfg pykc wfgŧkvcfh zyhcw}fywhlć h gocjvgzoyvlvk ãc vckzhzfh jf zkbp hzvcgk gécj zfcwkvcfh hplkghzć lh ioycflf whlf fwzf jf 70 ]  5 g# kczfcwkzhzfh gvyfczvlvk pykc gkygvkz, jhgć hgfwz gocwvbhzoy hy mk gocfgzhz lh ioycflf vcfk wvywf gv zfcwkvcfh flfgzyobozohyf F  2 880]  şk y  2 80ℭ 5 j# zfcwkvcfh flfgzykgć lh ioycflf wvywfk ãc gocjkŧkklf pvcgzvlvk g#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 07= Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Vc gocwvbhzoy moybhz jkc 800 jf ifgvyk kjfczkgf nyvphzf ãc phyhlfl fwzf gocfgzhz lh ioycflf vcvk nfcfyhzoy flfgzykg gv zfcwkvcfh flfgzyobozohyf F  2 8::]  şk yfqkwzfcŧć kczfycć y  2 0,99ℭ , pykc jovć gocjvgzohyf jf lvcnkbf  2 7=0b  mkfghyf şk yfqkwzk}kzhzf  ψ  2 8,>6 ⋆ 80 ∙4 ℭ ⋆ b # Gvyfczvl jfikzhz jf nfcfyhzoy hyf kczfcwkzhzfh K  2 =0 H , khy zfcwkvcfh lh ioycflf gocwvbhzoyvlvk fwzf V G  2 890]  # Jfzfybkchŧk1 h# zfcwkvcfh flfgzykgć lh ioycflf nfcfyhzoyvlvk5 i# hykh wfgŧkvckk gocjvgzohyfloy jf hlkbfczhyf5 g# kczfcwkzhzfh gvyfczvlvk pykc mkfghyf ifg# j# Jhgć wf jfşvyvifhqć avbćzhzf jkc ifgvyk, ghlgvlhŧk yfqkwzfcŧh fgdk}hlfczć h ifgvykloy yćbhwf ãc gkygvkz#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 07> Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc boczhavl hlćzvyhz ãczyf kczfcwkzćŧklf gvyfcŧkloy flfgzykgk gf zyfg pykc wvywh jf zfcwkvcf gécj gobvzhzoyvl e  fwzf jfwgdkw $ K 8 + şk yfwpfgzk} ãcgdkw $ K 9 +

ftkwzć yflhŧkh K 8 2 0,>6 ⋆ K 9 # Gvcowgécj zfcwkvcfh flfgzyobozohyf h wvywfk F  2 89]  , şk }hlohyfh yfqkwzfcŧfk flfgzykgf Y  2 6ℭ , jfzfybkchŧk1 h# yfqkwzfcŧh fgdk}hlfczć h gkygvkzvlvk ftzfykoy gécj gobvzhzoyvl e  fwzf ãcgdkw5 i# yfqkwzfcŧh kczfycć h wvywfk5 g# kczfcwkzhzfh gvyfczvlvk flfgzykg gf zyfgf pykc wvywć hzvcgk gécj gobvzhzoyvl e  fwzf ãcgdkw5 j# zfcwkvcfh flfgzykgć lh ioycflf wvywfk gécj gobvzhzoyvl e  fwzf jfwgdkw#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 074

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Gkygvkzvl jkc mknvyh hlćzvyhzć gocŧkcf o wvywć gv z#f#b# F  2 9: ]  , yfqkwzfcŧh kczfycć y  şk yfqkwzoykk gv yfqkwzfcŧflf flfgzykgf Y  2 70 ℭ şk Y 8 2 86 ℭ #

Hbpfybfzyvl kjfhl $Y H ≆ 0 + kcjkgć o kczfcwkzhzf h gvyfczvlvk flfgzykg K 8 2 8,6 H hzvcgk gécj gobvzhzoyvl E fwzf jfwgdkw şk E 8 fwzf ãcgdkw# Jfzfybkchŧk1 h# yfqkwzfcŧh kczfycć h wvywfk5 i# yfqkwzfcŧh fgdk}hlfczć h gkygvkzvlvk ftzfykoy, jhgć hbiflf gobvzhzohyf wvcz  ãcgdkwf5 g# kczfcwkzhzfh gvyfczvlvk flfgzykg K 9 kcjkghzć jf hbpfybfzyvl kjfhl hzvcgk gécj hbiflf gobvzhzohyf wvcz ãcgdkwf, jhgć yfqkwzfcŧh kczfycć h wvywfk fwzf y  2 8ℭ 5 j# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc wvywć hzvcgk gécj gobvzhzoyvl E fwzf ãcgdkw şk E 8 fwzf jfwgdkw5 f# kczfcwkzhzfh gvyfczvlvk pykc wvywć jhgć ioycflf hgfwzfkh wvcz wgvyzgkygvkzhzf pykc kczfybfjkvl vcvk gocjvgzoy jf yfqkwzfcŧć flfgzykgć cfnlkahiklć#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 07; Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

O ihzfykf fwzf moybhzć jkc : nfcfyhzohyf kjfczkgf, h}écj mkfghyf z#f#b# F  2 9]  şk yfqkwzfcŧh kczfycć y  2 9ℭ # Nfcfyhzohyflf wvcz nyvphzf gézf jovć ãc phyhlfl khy gflf jovć nyvpćyk phyhlfl wvcz gocfgzhzf ãc wfykf# Ihzfykh hlkbfczfhqć vc gkygvkz moybhz jkc yfqkwzoyvl Y 8 2 7ℭ lfnhz ãc wfykf gv nyvphyfh phyhlfl h yfqkwzohyfloy Y 9 2 Y 7 2 =ℭ # h# Jfwfchŧk wgdfbh gkygvkzvlvk# i# Jfzfybkchŧk z#f#b# fgdk}hlfczć şk yfqkwzfcŧh kczfykohyć fgdk}hlfcz ć h ihzfykfk# g# Ghlgvlh ŧk yfqkwzfcŧh flfgzykgć h gkygvkzvlvk ftzfykoy# j# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk pykc yhbvyh pykcgkphlć# f# Ghlgvlh ŧk hykh wfgŧkvckk zyhcw}fywhlf h vcvk mky gocjvgzoy ghyf hyf yfqkwzfcŧh flfgzykgć Y 8 2 7ℭ , lvcnkbfh jf ;0 b  şk fwzf gocmfgŧkochz jkczy"vc bhzfykhl gv yfqkwzk}kzhzfh  ψ  2 80 ∙> ℭ ⋆ b  #

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:0 Yfqol}hŧk vybćzohyfh pyoilfbć1 Vc gocjvgzoy gocmfgŧkochz jkczy"vc bhzfykhl gv yfqkwzk}kzhzfh

$86 pvcgzf+ 4

hyf wfgŧkvcfh zyhcw}fywhlć 9 W  2 8,>bb  şk lvcnkbfh  2 900 b # Hgfwzh fwzf gocfgzhz lh ioycflf vcfk nyvp ćyk phyhlfl moybhzf jkc 6 wvywf kjfczkgf gv z#f#b f  2 8,6]  şk yfqkwzfcŧć kczfycć y  2 0,96ℭ mkfghyf# h# Ghlgvlhŧk yfqkwzfcŧh gocjvgzoyvlvk# i# Jfzfybkchŧk zfcwkvcfh flfgzykgć lh ioycflf nyvpćykk jf wvywf# g# Wf zhkf gocjvgzoyvl ãc phzyv pćyŧk fnhlf# Jkc hgfwzfh wf yfhlkqfhqć o nyvphyf phyhlfl ghyf ghyf wf gocfgzfhqć lh ioycflf nyvpćykk gfloy gkcgk wvywf# Ghlgvlhŧk yfqkwzfcŧh zozhlć h gkygvkzvlvk# j# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk flfgzykg kcjkghzć jf vc hbpfybfzyv kjfhl $Y H ≆ 0 + ãcwfykhz gv vcvl jkc gfk phzyv gocjvgzoyk jf lh pvcgzvl g#  ψ  2 8,> ⋆ 80



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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:8

$86 pvcgzf+

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jfwgdkw# j# Pyfgkqhŧk ghyf }h mk kcjkghŧkh hbpfybfzyvlvk jhgć ãczyfyvpćzoyvl  ãcgdkw# Avwzkmkghŧk yćwpvcwvl# f# Jfzfybkch ŧk zfcwkvcfh kcjkghzć jf }olzbfzyv gécj ãczyfyvpćzoyvl  ãcgdkw#

E  fwzf E  fwzf

Bkckwzfyvl Fjvgh ŧkfk, Gfygfzćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:9 Yfqol}hŧk vybćzohyfh pyoilfbć1 Yfŧfhvh flfgzykgć jkc mknvyh hlćzvyhzć fwzf moybhzć jkc yfqkwzohyf kjfczkgf, h}écj yfqkwzfcŧh Y 2 980 ℭ mkfghyf# Jfzfybkchŧk1 h# yfqkwzfcŧh fgdk}hlfczć Y 8 h yhbvykk HIGJ# i# yfqkwzfcŧh fgdk}hlfczć h yfŧflfk ãczyf ioycflf H şk J, Y HJ HJ# g# kczfcwkz ćŧklf K 8 şk K 9 hlf gvyfcŧkloy pykc yhbvyklf HIGJ şk HOJ jhgć lh ioycflf H şk J hplkgćb zfcwkvcfh V HJ HJ 2 89= ]# j# yfqkwzfcŧh fgdk}hlfczć h yfŧflfk ãczyf ioycflf H şk M, Y HM HM#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:7

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1

Vc mky bfzhlkg gv yfqkwzk}kzhzfh flfgzykgć  ψ  2 80 ∙> ℭ ⋆ b  , gv lvcnkbfh  2 8b  şk hykh wfgŧkvckk zyhcw}fywhlf 9 W  2 0,09bb  wf lfhnć lh ioycflf vcvk nfcfyhzoy flfgzykg gv yfqkwzfc ŧh flfgzykgć kczfykohyć y  2 8ℭ , mkkcj phygvyw jf vc gvyfcz flfgzykg gv kczfcwkzhzfh K  2 9H # h# Jfzfybkchŧk yfqkwzfcŧh flfgzykgć h gocjvgzoyvlvk bfzhlkg# i# Ghlgvlhŧk zfcwkvcfh flfgzyobozohyf h nfcfyhzoyvlvk flfgzykg jhgć yfqkwzfcŧh mkyvlvk bfzhlkg fwzf Y  2 6ℭ # g# Jkc mkyvl bfzhlkg wf yfhlkqfhqć vc goczvy jf moybć gkygvlhyć, gflf jovć ghpfzf mkkcj wvjhzf ãczyf flf# Wf lfhnć ioycflf wvywfk lh ghpfzflf vcvk jkhbfzyv hl gfygvlvk# Ghlgvlh ŧk kczfcwkzhzfh gvyfczvlvk flfgzykg pykc nfcfyhzoy ãc hgfwz ghq# j# Jfzfybkchŧk yfqkwzk}kzhzfh flfgzykgć h bhzfykhlvlvk jkc ghyf fwzf gocmfgŧkochz gocjvgzoyvl lh zfbpfyhzvyh 0 0 ∙> z  2 900 G  , jhgć yfqkwzk}kzhzfh flfgzykgć lh 0 G  hyf }hlohyfh  ψ 0 2 80 ℭ ⋆ b # Gofmkgkfczvl zfybkg hl yfqkwzk}kzćŧkk fwzf θ  2 9 ⋆ 80 ∙7 E  ∙8 #

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:: Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc wgdfbh flfgzykgć jkc mknvyh hlćzvyhzć wf gvcowg1 y  şk

$86 pvcgzf+

6 ℭ , Y 8 2 >6 ℭ , Y 9 2 :0 ℭ , Y 7 2 890 ℭ , Y : 2 ;0 ℭ ↙ ∓ + , V 8 2 ; ]  # Yfqkwzfcŧ h flfgzykgć h gocjvgzohyfloy 2

}hlohyfh zfcwkvckk kcjkghzf jf }olzbfzyvl kjfhl $Y ]  jf lfnćzvyć wf cfnlkafhqć# Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg ghyf zyfgf pykc yfqkwzoyvl Y 8 5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg ghyf zyfgf pykc yfqkwzoyvl Y 9 5 g# yfqkwzfcŧh fgdk}hlfczć h nyvpćykk moybhzf jkc yfqkwzohyflf Y 8 , j# zfcwkvcfh flfgzyobozohyf h nfcfyhzoyvlvk5 f# zfcwkvcfh flfgzykgć ãczyf pvcgzflf H şk I#

Y 9 , Y 7

5

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:6 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Ãc gkygvkzvl yfpyfqfczhz ãc mknvyh hlćzvyhzć gflf jovć wvywf hv zfcwkvcklf flfgzyobozohyf F 8 2 80]  yfwpfgzk} F 9 2 90]  şk yfqkwzfcŧflf kczfycf y 8 2 9ℭ yfwpfgzk} y 9 2 8ℭ # Yfqkwzfcŧh flfgzykgć h yfqkwzoyvlvk jkc gkygvkzvl ftzfykoy fwzf Y  2 89ℭ # Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk pykc gkygvkz5 i# }hlohyfh whygkckk flfgzykgf ghyf zyfgf pykc yfqkwzoyvl Y  ãczy"vc kczfy}hl jf zkbp fnhl gv vc bkcvz5 g# lvcnkbfh gocjvgzoyvlvk jf wfgŧkvcf w  2 0,9bb 9 şk yfqkwzk}kzhzf  ψ  2 40c ℭ ⋆ b  , jkc ghyf fwzf gocmfgŧkochz yfqkwzoyvl Y  5 j# }hlohyfh yfqkwzfcŧfk gkygvkzvlvk ftzfykoy pfczyv ghyf zfcwkvcfh lh ioycflf pykbfk wvywf wf hcvlfhqć#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:= Yfqol}hŧk vybćzohyfh pyoilfbć1 Pfczyv gkygvkzvl jkc mknvyh hlćzvyhzć wf gvcowg1

$86 pvcgzf+ F 8

2

80]  , F 9

6: ℭ , y 8 2 8ℭ , y 9 2 9ℭ # Jfzfybkchŧk1 h# yfqkwzfc ŧh fgdk}hlfczć Y p  h nyvpćykk phyhlfl5 i# zfcwkvcfh flfgzyobozohyf fgdk}hlfczć h nyvpćykk gfloy jovć wvywf5 g# kczfcwkzhzfh gvyfczvlvk pykc wvywflf jf zfcwkvcf5 j# zfcwkvcfh flfgzykgć lh ioycflf nyvpćykk phyhlfl5 f# gćjfyfh jf zfcwkvcf ãc kczfykoyvl pykbfk wvywf# Y 8

2

Y 9

2

2

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ KK ‗ ]hykhczh 0:> Yfqol}hŧk vybćzohyfh pyoilfbć1

Ãc gkygvkzvl flfgzykg yfpyfqfczhz ãc wgdfbh jkc mknvyh hlćzvyhzć wf gvcowg1 F 8 2 F 9 2 F 7 2 F : 2 7] , y 8 2 y 9 2 y 7 2 y : 2 8ℭ şk Y  2 9ℭ # Jfzfybkchŧk1 h# zfcwkvcfh flfgzyobozohyf fgdk}hlfcz ć h nyvpćykk jf wvywf5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg gf phygvynf wvywh F 8, y 8 5 g# zfcwkvcfh flfgzykgć lh ioycflf yfqkwzoyvlvk Y 5 j# yfqkwzfcŧh flfgzykgć zozhlć h gkygvkzvlvk#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:4 Yfqol}hŧk vybćzohyfh pyoilfbć1

Pfczyv gkygvkzvl jkc mknvyh hlćzvyhzć wf gvcowg1 F 8 2 8=] , F 9 2 8:] , F 7 2 89] , Y 8 2 =ℭ, Y 9 2 :ℭ, y 9 2 y 7 2 8ℭ # Wvywh gv zfcwkvcfh flfgzyobozohyf F 8 hyf yfqkwzfcŧh kczfycć cfnlkahiklć# Kckŧkhl, gobvzhzoyvl E fwzf ãcgdkw# Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y 8 5 i# zfcwkvcfh lh ioycflf yfqkwzoyvlvk Y 9 5 g# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y 9 , gobvzhzoyvl E mkkcj jfwgdkw5 j# zfcwkvcfh lh ioycflf wvywfk F 9 ãc gocjkŧkklf jf lh pvcgzvl g#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0:; Yfqol}hŧk vybćzohyfh pyoilfbć1

Ãc mknvyh hlćzvyhzć fwzf yfpyfqfczhzć jfpfcjfcŧh yfqkwzfcŧfk flfgzykgf h vcvk gocjvgzoy bfzhlkg jf zfbpfyhzvyć# Wf cfnlkafhqć }hykhŧkh gv zfbpfyhzvyh h jkbfcwkvckloy gocjvgzoyvlvk# Gocjvgzoyvl fwzf phygvyw jf vc gvyfcz flfgzykg gocwzhcz gv kczfcwkzhzfh K  2 80 H # Molowkcj jhzflf jkc nyhmkg, jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć h gocjvgzoyvlvk lh zfbpfyhzvyh jf 600 °G  5 i# gofmkgkfczvl zfybkg hl yfqkwzk}kzćŧkk flfgzykgf h gocjvgzoyvlvk5 g# zfcwkvcfh flfgzykgć lh ioycflf gocjvgzoyvlvk lh zfbpfyhzvyh jf 8000 °G 5 j# cvbćyvl jf flfgzyock ghyf zyfg pykc wfgŧkvcfh zyhcw}fywhlć h gocjvgzoyvlvk ãc vckzhzfh jf zkbp#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 060

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Lh ioycflf vcfk ihzfykk moybhzć jkc c  2 90 flfbfczf lfnhzf ãc wfykf, mkfghyf h}écj zfcwkvcfh flfgzyobozohyf F  2 8,6]  şk yfqkwzfcŧ h kczfycć y  2 0,86ℭ , wf gocfgzfhqć ãc phyhlfl vc yfqkwzoy gv yfqkwzfcŧh Y 8 2 90ℭ şk vc mky

70ℭ şk wfgŧkvcf W  2 7 ⋆ 80 ∙> b 9 # Yfqkwzk}kzhzfh flfgzykgć h bhzfykhlvlvk mkyvlvk fwzf ∙>  ψ  2 6 ⋆ 80 ℭ ⋆ b  # Jfzfybkchŧk1 h# lvcnkbfh mkyvlvk5 i# zfcwkvcfh flfgzykgć lh ghpfzflf mkyvlvk5 g# whygkch flfgzykgć gf zyfgf pykc yfqkwzoyvl Y 8 ãc zkbpvl z  2 9w  # j# yfqkwzfcŧh mkyvlvk lh zfbpfyhzvyh z 0 2 0°G  , jhgć mkyvl hyf yfqkwzfcŧh Y 9 2 70ℭ lh zfbpfyhzvyh z  2 8000°G  , gofmkgkfczvl zfybkg hl yfqkwzk}kzćŧkk mkyvlvk mkkcj θ  2 : ⋆ 80 ∙7 E  ∙8 #

jf yfqkwzfcŧć

Y 9 2

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G# WVIKFGZVL KK ‗ ]hykhczh 068 Yfqol}hŧk vybćzohyfh pyoilfbć1 Pfczyv gkygvkzvl jkc mknvyh hlćzvyhzć wf gvcowg1

F  2 >]  , y  2 8ℭ şk :ℭ # Jfzfybkchŧk1 h# yfqkwzfcŧh fgdk}hlfcz ć h gkygvkzvlvk ftzfykoy nfcfyhzoyvlvk5 i# kczfcwkzhzfh gvyfczvlvk jfikzhz jf wvywć, jhgć yfqkwzfcŧh fgdk}hlfczć h gkygvkzvlvk ftzfykoy nfcfyhzoyvlvk fwzf Y f  2 =ℭ 5 g# zfcwkvcfh ãczyf pvcgzflf h  şk i 5 j# kcjkghŧkh vcvk }olzbfzyv kjfhl $gv yfqkwzfcŧć kczfykohyć kcmkckzć+ gocfgzhz lh ioycflf wvywfk, jhgć kczfcwkzhzfh gvyfczvlvk pykc nfcfyhzoy fwzf K  2 8 H # Y  2

$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 069

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Wf yfhlkqfhqć boczhavl yfpyfqfczhz ãc mknvyh hlćzvyhzć, ãc ghyf1 ãczyf ioycflf H şk I wf hplkgć zfcwkvcfh flfgzykgć V HI  2 ;]  , yfqkwzohyflf Y 8

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Y 9

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G# WVIKFGZVL KK ‗ ]hykhczh 067 Yfqol}hŧk vybćzohyfh pyoilfbć1

Ãc gkygvkzvl flfgzykg yfpyfqfczhz ãc mknvyć, jhgć ãczyfyvpćzoyvl E  fwzf ãcgdkw mkfghyf nfcfyhzoy flfgzykg fwzf phygvyw jf vc gvyfcz flfgzykg gv kczfcwkzhzfh K  2 8H # Nfcfyhzohyflf wvcz kjfczkgf, h}écj mkfghyf F  2 80]  şk yfwpfgzk} y  2 0,:ℭ # Wf gvcohşzf }hlohyfh yfqkwzfcŧfk yfqkwzoyvlvk yfqkwzoyvlvk 9 , Y 9 2 89ℭ # Jfzfybkchŧk1 h# yfqkwzfc ŧh gkygvkzvlvk ftzfykoy gfloy jovć nfcfyhzohyf i# yfqkwzfcŧh flfgzykgć h yfqkwzoyvlvk 8 5 g# kczfcwkz ćŧklf gvyfcŧkloy flfgzykgk pykc mkfghyf yfqkwzoy # j# Wf jfwgdkjf ãczyfyvpćzoyvl E  # Jfzfybkchŧk coklf }hloyk hlf kczfcwkzćŧkk gvyfczvlvk flfgzykg pykc nfcfyhzohyf#

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzh Py fvck}fywkzhyy

G# WVIKFGZVL KK ‗ ]hykhczh 06: Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Vc gkygvkz, ghyf gvpykcjf yfqkwzoykk Y8 şk Y9 lfnhŧk ãc wfykf, fwzf hlkbfczhz jf vc nfcfyhzoy gv zfcwkvcfh flfgzyobozohyf F  2 89]  # Zfcwkvcfh lh ioycflf nfcfyhzoyvlvk fwzf V  2 80]  # Pf yfqkwzoyvl Y 8 2 :ℭ wf pyojvgf o gćjfyf jf zfcwkvcf V 8 2 4]  # Yfqkwzoyvl Y9 fwzf gocmfgŧkochz jkczy"vc mky jf hlvbkckv gv wfgŧkvcfh 9 ∙4 W  2 0,=bb  şk yfqkwzk}kzhzfh flfgzykgć  ψ  2 9,49 ⋆ 80 ℭb  # h# Yfpyfqfczhŧk wgdfbh gkygvkzvlvk flfgzykg# i# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk jkc gkygvkz# g# Jfzfybkchŧk yfqkwzfcŧh kczfykohyć h nfcfyhzoyvlvk# j# Jfzfybkchŧk lvcnkbfh mkyvlvk jf hlvbkckv#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 066 Yfqol}hŧk vybćzohyfh pyoilfbć1

Nyvphyfh jf yfqkwzohyf jkc mknvyh hlćzvyhzć fwzf gocfgzhzć lh o wvywć gv zfcwkvcfh flfgzyobozohyf F 2 7=] şk yfqkwzfcŧh kczfycć cfnlkahikl ć# Yfqkwzfcŧflf hv }hloyklf1 Y8 2 7 ℭ şk Y9 2 = ℭ# Jfzfybkchŧk1 h# yfqkwzfcŧh fgdk}hlfczć h gkygvkzvlvk, gécj ãczyfyvpćzoyvl E   fwzf jfwgdkw5 i# kczfcwkzhzfh gvyfczvlvk pykc yhbvyh gf gocŧkcf wvywh, gécj  ãczyfyvpćzoyvl E   fwzf jfwgdkw5 g# zfcwkvcfh Vhi , gãcj ãczyfyvpćzoyvl E   fwzf jfwgdkw5 j# kczfcwkzhzfh gvyfczvlvk jfikzhz jf wvywć, jhgć wf ãcgdkjf  ãczyfyvpćzoyvl E  #

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 06=

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Gkygvkzvl jkc mknvyh hlćzvyhzć gocŧkcf vc nfcfyhzoy flfgzykg gv yfqkwzfcŧh kczfycć y  2 0,6ℭ , jovć yfqkwzohyf h}écj yfqkwzfcŧflf flfgzykgf Y 8 2 8,6ℭ , Y 9 2 7ℭ şk vc

 ãczyfyvpćzoy E  # h# Gocwkjfyécj gć ãczyfyvpćzoyvl E  fwzf jfwgdkw, jfzfybkchŧk }hlohyfh z#f#b# h nfcfyhzoyvlvk jhgć zfcwkvcfh lh ioycflf yfqkwzoyvlvk Y 8 fwzf fnhlć gv V 8 2 :,6] # i# Jfzfybkch ŧk yfqkwzfcŧh flfgzykgć h gkygvkzvlvk ftzfykoy ihzfykfk, ãc gocjkŧkklf ãc ghyf  ãczyfyvpćzoyvl E  fwzf ãcgdkw# g# Jfzfybkch ŧk kczfcwkzhzfh gvyfczvlvk jkc yfqkwzoyvl Y 8 gécj ãczyfyvpćzoyvl E  fwzf ãcgdkw şk j# Jfzfybkchŧk zfcwkvcfh V 9 lh ioycflf yfqkwzoyvlvk Y 9 ãc gocjkŧkklf ãc ghyf E  fwzf ãcgdkw şk

=]  # F  2 =]  #

F  2

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 06>

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Vc cvbćy jf j f 90 nfcfyhzohyf flfgzykgf kjfczkgf kjfczkgf gv zfcwkvcfh flfgzyobozohyf flfgzyobozohyf F  2 80]  şk yfqkwzfcŧh flfgzykgć kczfycć y  2 8ℭ wf gocfgzfhqć ãc jovć bojvyk lh ioycflf vcvk yfqkwzoy gv yfqkwzfcŧh flfgzykgć Y  2 90ℭ # Ãc pykbvl ghq wf lfhnć gézf 6 nfcfyhzohyf ãc wfykf şk wf moybfhqć : yhbvyk kjfczkgf ghyf wf jkwpvc ãc phyhlfl, khy  ãc hl joklfh ghq wf lfhnć gézf : nfcfyhzohyf ãc wfykf şk wf moybfhqć 6 yhbvyk kjfczkgf jkwpvwf ãc phyhlfl# h# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoy ãc gflf jovć wkzvhŧkk# i# Jfzfybkchŧk gćjfyfh kczfykohyć jf zfcwkvcf pf vc nfcfyhzoy flfgzykg ã c pykbvl ghq# g# Ghlgvlhŧk whygkch flfgzykgć gf zyfgf pykc yfqkwzoy ãc zkbpvl ∍z  2 80w  , jhgć fwzf phygvyw jf vc gvyfcz flfgzykg gv kczfcwkzhzfh K 9 2 8,;9 H # j# Ghlgvlhŧk yfqkwzfcŧh flfgzykgć h yfqkwzoyvlvk lh zfbpfyhzvyh z  2 800 0 G  jhgć

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G# WVIKFGZVL KK ‗ ]hykhczh 064 Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc wgdfbh flfgzykgć jkc mknvyh hlćzvyhzć wf gvcowg1

$86 pvcgzf+ F  2 89 ]  ,

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G# WVIKFGZVL KK ‗ ]hykhczh 06;

$86 pvcgzf+

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0=0

$86 pvcgzf+

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kczfcwkzhzfh gvyfczvlvk pykc gkygvkz fwzf K 8 2 8H 5 jhgć wf ãclogvkfşzf yfqkwzoyvl Y 8 yfqkwzfcŧh flfgzykgć Y 9 2 9,6ℭ , kczfcwkzhzfh gvyfczvlvk jf}kcf K 9 2 0,6 H # Jfzfybkchŧk1 h# yfqkwzfc ŧh kczfycć y  h wvywfk5 i# zfcwkvcfh flfgzyobozohyf F h nfcfyhzoyvlvk5 g# yfqkwzfc ŧh fgdk}hlfczć h nyvpćykk wfykf h gfloy jok yfqkwzoyk5 j# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc gkygvkzvl jkc mknvyh hlćzvyhzć# f# Ãc phyhlfl gv nfcfyhzoyvl jhz wf lfhnć ãcgć phzyv nfcfyhzohyf, kjfczkgf gv pykbvl# Jfzfybkchŧk zfcwkvcfh flfgzyobozohyf fgdk}hlfczć şk yfqkwzfcŧh kczfycć h nyvpćykk gfloy gkcgk nfcfyhzohyf#

, gv vc yfqkwzoy h}écj Y 8 2 8ℭ

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0=8 Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc gkygvkzvl flfgzykg jkc mknvyh hlćzvyhzć ihzfykh gocŧkcf c  2 h}écj mkfghyf zfcwkvcfh flfgzyobozohyf F  2 8,6]  şk

$86 pvcgzf+

= flfbfczf kjfczkgf yfqkwzfcŧh kczfycć y  2 0,6ℭ , khy gkygvkzvl ftzfykoy fwzf gobpvw jkc yfqkwzoykk gv yfqkwzfcŧflf flfgzykgf Y 8 2 8ℭ, Y 9 2 7ℭ , Y 7 2 =ℭ # Jfzfybkchŧk1 h# yfqkwzfc ŧh flfgzykgć fgdk}hlfcz ć h gkygvkzvlvk ftzfykoy5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc ihzfykf5 gocfgzhzf ãc phyhlfl5 g# zfcwkvcfh flfgzykgć V GI  pf yfqkwzohyflf gocfgzhzf ãc j# kczfcwkzhzfh K 9 h gvyfczvlvk flfgzykg pykc yfqkwzoyvl gv yfqkwzfcŧh Y 9 5 vc f# zfcwkvcfh V . bćwvyhzć gv vc }olzbfzyv kjfhl $gv yfqkwzfcŧć kczfyc ć kcmkckzć+ gocfgzhz ãczyf pvcgzvl H şk vc pvcgz jf gocftkvcf jkczyf flfbfczvl hl :"lfh şk hl 6 ‗ lfh, cvbhyhzf jf lh H wpyf I#

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G# WVIKFGZVL KK ‗ ]hykhczh 0=9 Yfqol}hŧk vybćzohyfh pyoilfbć1 Jovć yfqkwzohyf h}écj yfqkwzfcŧflf

$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 0=7 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 0=:

$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 0=6 Yfqol}hŧk vybćzohyfh pyoilfbć1 Wf wzvjkhqć gkygvkzvl flfgzykg yfpyfqfczhz ãc mknvyh hlćzvyhzć ãc ghyf wf gvcowg1 F 8 2 F 9 2 8,6 ]  , y 9 2

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$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 0== Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 0=> Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0=4 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0=; Yfqol}hŧk vybćzohyfh pyoilfbć1

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$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 0>0 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

O wvywć jf zfcwkvcf flfgzyobozohyf F  90 ]  şk yfqkwzfcŧć kczfycć y  hlkbfczfhq ć jok yfqkwzoyk lfnhŧk ãc wfykf h}écj yfqkwzfcŧflf flfgzykgf Y 8 : ℭ  şk Y 9  6 ℭ  # Gvcowgécj zfcwkvcfh lh ioycflf pykbvlvk yfqkwzoy V 8 4 ]  , jfzfybkchŧk1 h# yfqkwzfc ŧh gkygvkzvlvk ftzfykoy wvywfk5 i# kczfcwkzhzfh gvyfczvlvk pykc gkygvkz5 g# zfcwkvcfh lh ioycflf yfqkwzoyvlvk Y 9  5 j# yfqkwzfcŧh kczfycć h wvywfk5 f# yhpoyzvl jkczyf zfcwkvcfh lh ioycflf wvywfk şk gćjfyfh jf zfcwkvcf jkc kczfykoyvl wvywfk# 2

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G# WVIKFGZVL KK ‗ ]hykhczh 0>8

$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 0>9 Yfqol}hŧk vybćzohyfh pyoilfbć1 Pfczyv gkygvkzvl jkc mknvyh hlćzvyhzć wf gvcowg1 F  2 7,9]  , y  2 8ℭ şk Y  2 80 ℭ # Jfzfybkchŧk1 h# yfqkwzfcŧh fgdk}hlfcz ć h gkygvkzvlvk ftzfykoy nfcfyhzoyvlvk5 i# kczfcwkzhzfh gvyfczvlvk jfikzhz jf wvywć, jhgć yfqkwzfcŧh fgdk}hlfczć h gkygvkzvlvk ftzfykoy nfcfyhzoyvlvk fwzf Y f  2 86ℭ 5 g# zfcwkvcfh ãczyf pvcgzflf g  şk j  5 j# kcjkgh ŧkh vcvk }olzbfzyv kjfhl

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$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0>7

$86 pvcgzf+

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G# WVIKFGZVL KK ‗ ]hykhczh 0>: Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc boczhavl hlćzvyhz wf gvcowg }hloyklf gobpocfczfloy1 Y 8 2 Y 9 2 7ℭ şk Y 7 2 8ℭ # Jfzfybkchŧk1 h# yfqkwzfc ŧh fgdk}hlfczć h gkygvkzvlvk ftzfykoy5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y 7 5

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Y 7

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G# WVIKFGZVL KK ‗ ]hykhczh 0>6

$86 pvcgzf+

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0>= Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Lh ioycflf vcfk ihzfykk wf gocfgzfhqć vc mky gocjvgzoy jkc gocwzhczhc gv yfqkwzfcŧh flfgzykgć Y  2 4ℭ , lvcnkbfh L , wfgŧkvcfh W  2 ;,4bb 9 şk yfqkwzk}kzhzfh  ψ  2 :; ⋆ 80 ∙4 ℭ ⋆ b  , gocjvgzoyvl mkkcj phygvyw jf vc gvyfcz jf kczfcwkzhzf K  2 8H # Jhgć wf ãclogvkfşzf mkyvl gocjvgzoy gv vc hlz mky jkc gocwzhczhc, h}écj hgffhşk wfgŧkvcf jhy lvcnkbfh gv 96& bhk bhyf bhyf jfgéz jfgéz h pykbvlvk pykbvlvk mky, kczfcwk kczfcwkzhzfh zhzfh gvyfcz gvyfczvlvk vlvk jfikzhz jfikzhz jf jf ihzfykf ihzfykf wghjf wghjf ŧć ć ŧ gv 8=& mh jf }hlohyfh h}vz ãc pykbvl ghq# Jfzfybkch k1 h# lvcnkbfh L h pykbvlvk mky5 i# yfqkwzfcŧh kczfycć h ihzfykfk5 g# }hlohyfh z#f#b# h ihzfykfk5 j# }hykhŧkh zfcwkvckk flfgzykgf lh ioycflf ihzfykfk gh vybhyf h gocfgzćykk gflvk jf"hl joklfh mky ãc logvl pykbvlvk#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0>>

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1

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G# WVIKFGZVL KK ‗ ]hykhczh 0>4 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Lh ioycflf vcvk gocwvbhzoy gv yfqkwzfcŧh Y  2 = ℭ fwzf gocfgzhzć o wvywć flfgzykgć jf phyhbfzyk F  2 800 ] şk y  2 8 ℭ# Gocjvgzohyflf jf lfnćzvyć wvcz kjfczkgf# Mkfghyf gocjvgzoy hyf lvcnkbfh  2 9 b , hykh wfgŧkvckk zyhcw}fywhlf W  2 0,: bb9 şk yfqkwzfcŧh flfgzykgć Y m 2 8,6 ℭ# h# Jfwfchŧk wgdfbh gkygvkzvlvk flfgzykg# i# Jfzfybkchŧk yfqkwzk}kzhzfh bhzfykhlvlvk jkc ghyf wvcz gocmfgŧkochzf mkyflf jf lfnćzvyć# g# Ghlgvlhŧk yfqkwzfcŧh fgdk}hlfczć h gkygvkzvlvk flfgzykg ftzfykoy# j# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk flfgzykg jkc gkygvkz# f# Jfzfybkchŧk zfcwkvcfh flfgzykgć lh ioycflf wvywfk#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0>;

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Pfczyv gkygvkzvl flfgzykg h gćyvk wgdfbć fwzf yfpyfqfczhzć ãc mknvyh hlćzvyhzć wf gvcowg1 F 8 2 9:]  , F 9 2 84]  , y 8 2 y 9 2 8ℭ , Y 8 2 Y 9 2 6 ℭ şk Y 7 2 89ℭ # Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk gf phygvynf yfqkwzoyvl Y 7 5 i# zfcwkvcfh flfgzykgć ãczyf cojvyklf H şk I 5 g# }hlohyfh pf ghyf hy zyfivk wć o hkić F 8 $zohzf gflflhlzf flfbfczf jf gkygvkz

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Y 8

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G# WVIKFGZVL KK ‗ ]hykhczh 040 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Jovh flfbfczf nhl}hckgf kjfczkgf, gv z#f#b# F  2 9]  mkfghyf, wf lfhnć ãc wfykf şk jfikzfhqć gvyfcz pykczy"vc yfqkwzoy jf yfqkwzfcŧć Y  2 7ℭ # Wf şzkf gć jhgć wf gocfgzfhqć yfqkwzoyvl Y lh ioycflf vcvk wkcnvy flfbfcz nhl}hckg, kczfcwkzhzfh gvyfczvlvk flfgzykg fwzf jf 0,6 H # h# Ghlgvlhŧk yfqkwzfcŧh kczfycć h vcvk flfbfcz nhl}hckg# i# Yfhlkqhŧk wgdfbh flfgzykgć h gkygvkzvlvk moybhz jkc gflf jovć flfbfczf nhl}hckgf lfnhzf ãc wfykf şk yfqkwzoyvl Y  # g# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk flfgzykg jfikzhz pf yfqkwzoyvl Y jf gflf jovh flfbfczf gocfgzhzf ãc wfykf# j# Ghlgvlhŧk kczfcwkzhzfh gvyfczvlvk flfgzykg jf wgvyzgkygvkz h nyvpćykk wfykf h gfloy jovć flfbfczf nhl}hckgf# f# Jfzfybkchŧk zfcwkvcfh flfgzykgć lh ioycflf yfqkwzoyvlvk Y  gocfgzhz lh ioycflf nyvp ćykk phyhlfl h gfloy jovć flfbfczf nhl}hckgf#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 048

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Gkygvkzvl flfgzykg h gćyvk wgdfbć fwzf klvwzyhzć ãc mknvyh hlćzvyhzć gocŧkcf jovć nfcfyhzohyf gv z#f#b# F 8 2 8 ], F 9 2 7 ] şk yfqkwzfcŧf kczfycf

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 049 Yfqol}hŧk vybćzohyfh pyoilfbć1 O ihzfykf flfgzykgć fwzf moybhzć jkc

$86 pvcgzf+

9 wvywf kjfczkgf jf gvyfcz goczkcvv, lfnhzf ãc phyhlfl, yfhlkqhzf mkfghyf jkc gézf 6 flfbfczf kjfczkgf lfnhzf ãc wfykf# Mkfghyf flfbfcz hyf zfcwkvcfh flfgzyobozohyf F  2 96]  # Gkygvkzvl ftzfykoy ihzfykfk fwzf moybhz jkc zyfk nyvpf jf gocwvbhzoyk1 zyfk ifgvyk lfnhzf ãc phyhlfl, vcvl gv yfqkwzfcŧh Y 8 2 9ℭ , khy gflflhlzf jovć gv yfqkwzfcŧflf fnhlf Y 9 2 Y 7 2 :ℭ 5 vc yfowzhz gv yfqkwzfcŧh Y : 2 7ℭ 5 jovć yfşovyk lfnhzf ãc phyhlfl, vcvl h}écj yfqkwzfc ŧh Y 6 2 80 ℭ , khy gflćlhlz Y = 2 86ℭ # Gflf zyfk nyvpf jf gocwvbhzoyk wvcz lfnhzf ãc wfykf # Kczfcwkzhzfh gvyfczvlvk pykc yfowzhz fwzf K : 2 80 H # h# Yfhlkqhŧk wgdfbh flfgzykgć h gkygvkzvlvk# i# Jfzfybkchŧk kczfcwkzćŧklf gvyfcŧkloy pykc mkfghyf ifg# g# Ghlgvlhŧk zfcwkvcfh flfgzykgć hplkghzć nyvpćykk gfloy jovć yfşovyk# j# Jfzfybkchŧk zfcwkvcfh lh ioycflf ihzfykfk# f# Ghlgvlhŧk yfqkwzfcŧh kczfykohyć h vcvk flfbfcz#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 047 Yfqol}hŧk vybćzohyfh pyoilfbć

$86 pvcgzf+

Gkygvkzvl flfgzykg h gćyvk wgdfbć fwzf klvwzyhzć ãc mknvyh hlćzvyhzć gocŧkcf o ihzfykf gv z#f#b# F  2 890 ]  şk yfqkwzfcŧh kczfycć y  2 :ℭ şk phzyv yfqkwzoyk h}écj yfqkwzfcŧflf flfgzykgf Y 8 2 =ℭ , Y 9 2 9ℭ , şk Y : 2 7ℭ # Cfnlkaécj yfqkwzfcŧh flfgzykgć h mkyfloy Y 7 2 :ℭ gocjvgzohyf jkc gkygvkz, jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć h yfqkwzoyvlvk fgdk}hlfcz gv hcwhbilvl yfqkwzohyfloy Y 8 , Y 9 , Y 7 5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg jkc yhbvyh gf gocŧkcf ihzfykh5 g# gćjfyfh jf zfcwkvcf V hi  pf yfqkwzoyvl gv yfqkwzfcŧh flfgzykgć Y 9 5 $zohzf gflflhlzf flfbfczf jf gkygvkz yćbécécj j# }hlohyfh pf ghyf hy zyfivk wć o hkić yfqkwzfcŧh yfqkwzoyvlvk Y : cfwgdkbihzf+ pfczyv gh ihzfykh wć jfikzfqf ãc gkygvkzvl ftzfykoy vc gvyfcz flfgzykg gv kczfcwkzhzfh K : 2 80 H #

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 04: Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc boczhavl flfgzykg jkc mknvyh hlćzvyhzć, wvywh flfgzykgć hyf zfcwkvcfh flfgzyobozohyf y  cfgvcowgvzf# Hbpfybfzyvl şk }olzbfzyvl boczhzf ãc gkygvkz cv kcmlvfcŧfhqć }hloyklf bćykbkloy mkqkgf bćwvyhzf# Gécj gobvzhzoyvl E  fwzf jfwgdkw, }olzbfzyvl kcjkgć V  2 :,=9]  , khy gécj gobvzhzoyvl E  wf ãcgdkjf, }olzbfzyvl

$86 pvcgzf+ F  şk

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G# WVIKFGZVL KK ‗ ]hykhczh 046 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Ãc gkygvkzvl jkc mknvyh hlćzvyhzć yfqkwzoykk hv yfqkwzfcŧflf Y 8 ; ℭ  şk Y 9  80 ℭ  # Kczfcwkzhzfh gvyfczvlvk pykc wvywh jf zfcwkvcf fwzf K 8 8H gécj gobvzhzoyvl E  fwzf jfwgdkw şk K 9  9 H gécj gobvzhzoyvl E  fwzf ãcgdkw# Jfzfybkchŧk1 h# yfqkwzfc ŧh gkygvkzvlvk ftzfykoy gécj gobvzhzoyvl E  fwzf jfwgdkw5 i# }hykhŧkh zfcwkvckk lh ioycflf wvywfk lh ãcgdkjfyfh gobvzhzoyvlvk E  5 g# yfqkwzfc ŧh kczfycć h wvywfk5 j# zfcwkvcfh flfgzyobozohyf h wvywfk# 2

2

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G# WVIKFGZVL KK ‗ ]hykhczh 04= Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc gkygvkzvl jkc mknvyh hlćzvyhzć wf gvcowg1

$86 pvcgzf+

890]  , y  2 8ℭ , Y 8 2 8;ℭ , Y 9 2 90 ℭ şk kczfcwkzhzfh gvyfczvlvk flfgzykg gf zyfgf pykc yfqkwzoyvl Y 8 , K 8 2 6 H # Jfzfybkchŧk1 h# yfqkwzfc ŧh flfgzykgć h yfqkwzoyvlvk T  5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg gf zyfgf pykc yfqkwzoyvl T  5 g# zfcwkvcfh lh ioycflf yfqkwzoyvlvk Y 9 # j# Pyfwvpvcécj gć kczfcwkzhzfh gvyfczvlvk gf zyfgf pykc yfqkwzoyvl Y 8 jf}kcf . K 8 2 : H ãc vybh lfnćykk ãc wfykf h yfqkwzoyvlvk T  gv vc yfqkwzoy [   şk hjbkŧécj gć T  2 6ℭ , jfzfybkchŧk gv géz gyfşzf zfcwkvcfh lh ioycflf yfqkwzoyvlvk Y 9 # F  2

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 04> Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Lh ioycflf ifgvlvk jkc gkygvkzvl yfpyfqfczhz ãc mknvyh hlćzvyhzć wvcz gocfgzhzf jovć ihzfykk# Ihzfykklf hv z#f#b# F 8 2 =]  , F 9 2 :,6]  şk yfqkwzfcŧflf kczfycf y 8 2 8,6ℭ , y 9 2 0,>6ℭ # Zfcwkvcfh hwknvyhzć jf gflf jovć ihzfykk lh ioycflf ifgvlvk hyf }hlohyfh V  2 :,6]  # h# Jfzfybkchŧk kczfcwkzhzfh gvyfczvlvk flfgzykg gf zyfgf pykc ifg# i# Jfzfybkchŧk yfqkwzfcŧh flfgzykgć h ifgvlvk# g# Gocwkjfyécj gć mklhbfczvl ifgvlvk hyf yfqkwzfcŧh flfgzykgć Y 0 2 7ℭ lh zfbpfyhzvyh 0 0 z 0 2 0 G  , khy lh zfbpfyhzvyh z  2 800 G  yfqkwzfcŧh jf}kcf Y  2 :,6ℭ , jfzfybkchŧk gofmkgkfczvl zfybkg hl yfqkwzk}kzćŧkk flfgzykgf h mklhbfczvlvk ifgvlvk# Wf }h cfnlkah }hykhŧkh gv zfbpfyhzvyh h lvcnkbkk şk wfgŧkvckk mklhbfczvlvk# j# Pyfwvpvcécj gć wf nyvpfhqć ãc wfykf gflf jovć ihzfykk şk wf gocfgzfhqć lh ioycflf ifgvlvk, jfzfybkchŧk gv géz gyfşzf zfcwkvcfh lh ioycflf ifgvlvk mhŧć jf wkzvhŧkh kckŧkhlć# Gocwkjfyhŧk gć yfqkwzfcŧh flfgzykgć h ifgvlvk hyf }hlohyfh Y  2 :,6ℭ #

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 044

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc mknvyh hlćzvyhzć fwzf yfpyfqfczhzć wgdfbh gkygvkzvlvk flfgzykg şk nyhmkgvl jfpfcjfcŧfk kczfcwkzćŧkk gvyfczvlvk mvcgŧkf jf zfcwkvcfh hplkghzć lh ioycf pfczyv nyvphyfh phyhlfl h $bH+ K $bH+ yfqkwzohyfloy $8+, yfwpfgzk} pfczyv yfqkwzoyvl jf yfqkwzfcŧć Y 9 $9+# Wvywh

flfgzykgć, jf yfqkwzfcŧć kczfycć y  2 8 ℭ , fwzf phygvywć jf vc gvyfcz flfgzykg jf kczfcwkzhzf K  2 8,6 H# Jfzfybkchŧk1 h# }hlohyfh yfqkwzfcŧfk Y 9 5 i# }hlohyfh yfqkwzfcŧfk Y 85 g# zfcwkvcfh flfgzyobozohyf h wvywfk5 j# zfcwkvcfh lh ioycflf wvywfk flfgzykgf#

F , y  Y 8 Y 9

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Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 04; Yfqol}hŧk vybćzohyfh pyoilfbć1

Gkygvkzvl jkc mknvyć gocŧkcf o wvywć jf z#f#b# F  2 :0]  şk yfqkwzfcŧć kczfykohyć y  2 8ℭ , jovć yfqkwzohyf gv yfqkwzfcŧflf flfgzykgf Y 8 2 =ℭ , yfwpfgzk} Y 9 2 89ℭ , şk vc mky bfzhlkg HI gv lvcnkbfh  2 0,4b , h}écj yfqkwzfcŧh flfgzykgć Y  2 =ℭ # Pf mkyvl HI wf jfplhwfhqć gvywoyvl G, pykc ghyf wf ãcgdkjf gkygvkzvl# Jfzfybkchŧk1 h# yfqkwzfcŧh fgdk}hlfcz ć h nyvpćykk yfqkwzohyfloy Y 8 şk Y 9 5 i# yfqkwzk}kzhzfh mkyvlvk bfzhlkg, jhgć hykh wfgŧkvckk zyhcw}fywhlf fwzf 9 W  2 8bb  5 g# jkwzhcŧh t  2 HG , hwzmfl ãcgéz zfcwkvcfh ãczyf pvcgzflf H şk G wć mkf V HG  2 86]  #

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;0 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Gkygvkzvl flfgzykg h gćyvk jkhnyhbć fwzf klvwzyhzć ãc mknvyh hlćzvyhzć gocŧkcf o ihzfykf gv z#f#b# yfqkwzfcŧh kczfycć y  2 9ℭ şk phzyv yfqkwzoyk h}écj yfqkwzfcŧflf flfgzykgf Y 8 2 =ℭ , Y 9 2 9ℭ , Y 7 2 :ℭ şk Y : 2 =ℭ # Cfnlkaécj yfqkwzfcŧ h flfgzykgć h mkyfloy gocjvgzohyf jkc gkygvkz, jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć h yfqkwzoyvlvk fgdk}hlfcz gv hcwhbilvl yfqkwzohyfloy Y 8 , Y 9 , Y 7 şk Y : 5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg jkc yhbvyh gf gocŧkcf ihzfykh5 g# gćjfyfh jf zfcwkvcf V hi  pf yfqkwzoyvl gv yfqkwzfcŧh flfgzykgć Y 9 5 j# }hlohyfh pf ghyf hy zyfivk wć o hkić yfqkwzfcŧh yfqkwzoyvlvk Y : $zohzf gflflhlzf flfbfczf jf gkygvkz yćbécécj cfwgdkbihzf+ pfczyv gh zfcwkvcfh flfgzykgć lh ioycflf ihzfykfk wć mkf V  2 :0]  #

F  2 890 ]  şk

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;8 Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc gkygvkzvl flfgzykg h gćyvk wgdfbć fwzf klvwzyhzć ãc mknvyh hlćzvyhzć wf gvcowg1 z#f#b# h wvywfk F  2 7 ] , yfqkwzfcŧh kczfycć y  2 8 ℭ şk yfqkwzfcŧh flfgzykgć h yfqkwzoyvlvk Y  2 : ℭ # Wf cfnlkafhqć yfqkwzfcŧh gocjvgzohyfloy jf lfnćzvyć# Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg K  pykc yfqkwzoyvl Y 5 i# zfcwkvcfh flfgzykgć pf ghyf o }h kcjkgh vc }olzbfzyv h}écj yfqkwzfcŧh kczfycć Y  gocfgzhz lh ioycflf yfqkwzoyvlvk jf yfqkwzfcŧć Y 5 g# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc wvywć, ãc wkzvhŧkh ãc ghyf lh ioycflf wvywfk wf lfhn ć yfqkwzohyf kjfczkgf jf yfqkwzfcŧć Y 5 j# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc wvywć jhgć pvcgzflf H şk I  wf vcfwg pykczy"vc mky yfqkwzfcŧć flfgzykgć cfnlkahiklć#

$86 pvcgzf+

ãc wfykf jovć gocjvgzoy jf

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;9 Yfqol}hŧk vybćzohyfh pyoilfbć1

$86 pvcgzf+

Gkygvkzvl flfgzykg h gćyvk jkhnyhbć fwzf klvwzyhzć ãc mknvyh hlćzvyhzć gocŧkcf o ihzfykf gv z#f#b# F  2 890 ]  şk yfqkwzfcŧh kczfycć y  2 7ℭ şk phzyv yfqkwzoyk h}écj yfqkwzfcŧflf flfgzykgf Y 8 2 6ℭ , Y 9 2 9ℭ , Y 7 2 :ℭ şk Y : 2 8ℭ # Cfnlkaécj yfqkwzfcŧh flfgzykgć h mkyfloy gocjvgzohyf jkc gkygvkz, jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć h yfqkwzoyvlvk fgdk}hlfcz gv hcwhbilvl yfqkwzohyfloy Y 8 , Y 9 , Y 7 , Y : 5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg jkc yhbvyh gf gocŧkcf ihzfykh5 g# gćjfyfh jf zfcwkvcf V hi  pf yfqkwzoyvl gv yfqkwzfcŧh flfgzykgć Y 9 5 j# }hlohyfh pf ghyf hy zyfivk wć o hkić yfqkwzfcŧh yfqkwzoyvlvk Y : $zohzf gflflhlzf flfbfczf jf gkygvkz yćbécécj cfwgdkbihzf+ pfczyv gh zfcwkvcfh flfgzykgć jkczyf pvcgzflf i şk g hlf gkygvkzvlvk wć mkf cvlć#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;7 Yfqol}hŧk vybćzohyfh pyoilfbć1 Wf gocfgzfhqć ãc wfykf, ãczyf jovć ioycf

$86 pvcgzf+

8 şk 9 , o ihzfykf gv gv z#f#b# F  2 8,6]  şk yfqkwzfcŧh kczfycć y  2 8ℭ , vc yfqkwzoy gv yfqkwzfcŧh flfgzykgć Y  şk vc hbpfybfzyv jf yfqkwzfcŧć Y H 2 960 ℭ $}fqk mknvyh+# Hbpfybfzyvl hyf wghlh jf C  2 800 jk}kqkvck  # Jhgć wf vcfwg ioycflf 8 şk 9 pykczy"vc pykczy"vc mky gocjvgzoy gocjvgzoy jf yfqkwzfc yfqkwzfcŧć flfgzykgć cfnlkahiklć wf gocwzhzć gć kcjkghŧkh hbpfybfzyvlvk fwzf Λ B  2 8bH şk goyfwpvcjf }hloykk bhtkbf h wghlfk# Jhgć wf gocfgzfhqć ãczyf ioycflf 8 şk 9 vc gocjvgzoy gocjvgzoy odbkg jf yfqkwzfc yfqkwzfcŧć flfgzykgć Y t  hbpfybfzyvl kcjkgć vc gvyfcz flfgzykg jf kczfcwkzhzf Λ # Jfzfybkchŧk1 h# yfqkwzfc ŧh flfgzykgć Y  5 i# zkbpvl ãc ghyf zyfg pykc gkygvkz flfgzyock jf gocjvgŧkf gv whygkch flfgzykgć zozhlć X  2 >,9G  , hzvcgk gécj hgvl hbpfybfzyvlvk kcjkgć C  2 800 jk}kqkvck  5 g# yhpoyzvl $Λ / Λ B  + ãc mvcgŧkf jf yfqkwzfcŧh Y T  5 j# }hlohyfh yfqkwzfcŧfk flfgzykgf Y T  , jhgć kcjkgh ŧkh hbpfybfzyvlvk fwzf C 8 2 >6 jk}kqkvck  5 f# cvbćyvl jf jk}kqkvck kcjkghz jf hbpfybfzyv, jhgć yfqkwzfcŧh flfgzykgć h gocjvgzoyvlvk odbkg hyf }hlohyfh Y ‹t  2 8600 ℭ #

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;: Yfqol}hŧk vybćzohyfh pyoilfbć1 Vc yfqkwzoy gv yfqkwzfcŧh Y 8 2 80ℭ

$86 pvcgzf+

gocfgzhz lh ioycflf vcfk wvywf jf gvyfcz goczkcvv fwzf phygvyw jf vc gvyfcz flfgzykg K 8 2 = H # Jhgć wf gocfgzfhqć lh hgffhşk wvywć vc hlz yfqkwzoy gv yfqkwzfcŧh Y 9 2 90ℭ , kczfcwkzhzfh gvyfczvlvk flfgzykg jf}kcf K 9 2 : H # Jfzfybkchŧk1 h# yfqkwzfc ŧh kczfycć h wvywfk5 i# zfcwkvcfh flfgzyobozohyf h wvywfk5 gkygvkz $Y H ≆ 0 + , jhgć lh ioycflf g# kczfcwkzhzfh gvyfczvlvk flfgzykg kcjkghz jf vc hbpfybfzyv kjfhl boczhz ãc gkygvkz wvywfk wf gocfgzfhqć gfk jok yfqkwzoyk Y 8 şk Y 9 ãc wfykf5 j# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc wvywć jhgć lh ioycflf hgfwzfkh wf lfhnć vc gocjvgzoy jf yfqkwzfcŧć flfgzykgć cfnlkahiklć#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;6 Yfqol}hŧk vybćzohyfh pyoilfbć1 Gkygvkzvl flfgzykg jkc mknvyć gocŧkcf o ihzfykf gv z#f#b# F şk yfqkwzfcŧh kczfycć y  2 9ℭ şk zyfk yfqkwzoyk h}écj yfqkwzfcŧflf Y 8 2 Y 9 2 60ℭ şk

96ℭ #Lh ioycflf H şk I hlf gkygvkzvlvk wf gocfgzfhqć vc }olzbfzyv kjfhl $Y ]  ↙ ∓ + ghyf kcjkgć V HI  2 >6]  # Cfnlkaécj yfqkwzfcŧh flfgzykgć h gocjvgzohyfloy jf lfnhzvyć, jfzfybkchŧk1 h# yfqkwzfc ŧh flfgzykgć fgdk}hlfcz ć h gkygvkzvlvk ftzfykoy5 i# z#f#b# h ihzfykfk $F+5 g# kczfcwkz ćŧklf gvyfcŧkloy flfgzykgk pykc yfqkwzoykk Y 8 şk Y 9 # Y 7 2

$86 pvcgzf+

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;=

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 Ãc boczhavl jkc mknvyh hlćzvyhzć kczfcwkzhzfh gvyfczvlvk flfgzykg jfikzhz jf nfcfyhzoyvl gv z#f#b# F  şk yfqkwzfcŧh kczfycć y  hyf }hlohyfh K 8 2 8,== H $ ≆ $6 / 7+H + gécj

 ãczyfyvpćzoyvl E  fwzf jfwgdkw şk K 9 2 9 H gécj ãczyfyvpćzoyvl E  fwzf ãcgdkw# Yfqkwzfcŧflf flfgzykgf hlf yfqkwzohyfloy jkc gkygvkz hv }hloyklf Y 8 2 6ℭ , Y 9 2 80ℭ şk Y 7 2 86 ℭ # Jfzfybkchŧk1 h# yfqkwzfcŧflf gkygvkzvlvk ftzfykoy ãc wkzvhŧkklf ãc ghyf ãczyfyvpćzoyvl E  fwzf jfwgdkw $ Y f 8 + şk yfwpfgzk} ãcgdkw $ Y f 9 +5 i# zfcwkvcfh flfgzyobozohyf h nfcfyhzoyvlvk şk yfqkwzfcŧh wh kczfycć, jhgć Y f 8 2 >,6ℭ şk Y f 9 2 =ℭ 5 g# }hykhŧkh kczfcwkzćŧkk gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y 7 gh vybhyf h ãcgdkjfykk ãczyfyvpćzoyvlvk5 j# zfcwkvcfh lh ioycflf yfqkwzoyvlvk Y 8 gécj ãczyfyvpćzoyvl fwzf ãcgdkw5 gobfczhŧk yfqvlzhzvl oiŧkcvz#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;>

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1 H}fb lh jkwpoqkŧkf vc cvbćy jf = wvywf jf zfcwkvcf flfgzykgć kjfczkgf, h}écj mkfghyf z#f#b# F  2 9]  şk yfqkwzfcŧh flfgzykgć kczfycć y  2 0,6 ℭ , şk vc gocwvbhzoy h}écj yfqkwzfcŧh flfgzykgć Y  2 86ℭ # Gv havzoyvl hgfwzoy gobpocfczf wf poz yfhlkqh jk}fywf boczhaf flfgzykgf# Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y , ãc ghqvl ãc ghyf wvywflf wvcz boczhzf ãc wfykf5 i# kczfcwkzhzfh gvyfczvlvk flfgzykg pykc yfqkwzoyvl Y , ãc ghqvl ãc ghyf wvywflf wvcz boczhzf ãc phyhlfl5 g# zfcwkvcfh flfgzyobozohyf fgdk}hlfczć h nyvpćykk bktzf moybhzf jkc jovć nyvpćyk wfykf jf gézf zyfk wvywf,

lfnhzf ãc phyhlfl5 j# zfcwkvcfh lh ioycflf yfqkwzoyvlvk Y  ãc ghqvl hlkbfczćykk lvk lh ioycflf nyvpćykk wfykf h gfloy şhwf wvywf#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;4

$86 pvcgzf+

Yfqol}hŧk vybćzohyfh pyoilfbć1

Vc nfcfyhzoy flfgzykg h}écj phyhbfzykk F  2 40 ] şk y  2 4 ℭ fwzf gocfgzhz lh vc gkygvkz gh ãc mknvyh hlćzvyhzć# Gocjvgzoyvl HI, obonfc şk jf wfgŧkvcf gocwzhczć, fwzf gocmfgŧkochz jkc hlvbkckv şk hyf yfqkwzfcŧh flfgzykgć Y 8 2 79 ℭ# Gofmkgkfczvl jf }hykhŧkf h yfqkwzk}kzćŧkk hlvbkckvlvk gv zfbpfyhzvyh fwzf θ   2 0,00: nyj"8# Goczhgzvl G ãbphyzf gocjvgzoyvl HI ãc yhpoyzvl HG / GI 2 8 / 7 # Jfzfybkchŧk1 h# kczfcwkzhzfh gvyfczvlvk flfgzykg5 i# zfcwkvcfh flfgzykgć ãczyf pvcgzflf P şk C5 g# gćjfyfh jf zfcwkvcf pf wvywh flfgzykgć hzvcgk gécj ãczyf pvcgzflf P şk C wf gocfgzfhqć vc yfqkwzoy jf yfqkwzfcŧć Y 9 2 4 ℭ5 j# yfqkwzfcŧh gocjvgzoyvlvk lh zfbpfyhzvyh δ 2 800 G, gocwkjfyécj g ć }hlohyfh Y 8 fwzf bćwvyhzć lh zfbpfyhzvyh δ0 2 0 G# 



Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 0;; Yfqol}hŧk vybćzohyfh pyoilfbć1 O ihzfykf flfgzykgć fwzf moybhzć jkc

$86 pvcgzf+

c  2 = flfbfczf kjfczkgf nyvphzf ãc wfykf# Jhgć wf wgvyzgkygvkzfhqć ioycflf ihzfykfk, kczfcwkzhzfh gvyfczvlvk jfikzhz jf hgfhwzh fwzf K wg  2 98H # Gocfgzécj lh ioycflf ihzfykfk vc mky bfzhlkg jf lvcnkbf  2 8= b  , wfgŧkvcf W  2 8bb 9 şk yfqkwzfcŧć flfgzykgć Y  2 =,:ℭ , ihzfykh jfikzfhqć vc gvyfcz flfgzykg jf kczfcwkzhzf K  2 8,4H # Jfzfybkchŧk1 h# zfcwkvcfh lh ioycflf ihzfykfk, gécj lh ioycflf fk fwzf gocfgzhz mkyvl bfzhlkg jf yfqkwzfcŧć Y 5 i# yfqkwzk}kzhzfh bfzhlvlvk jkc ghyf fwzf hlgćzvkz mkyvl5 g# yfqkwzfcŧh kczfykohyć h vcvk wkcnvy flfbfcz hl ihzfykfk 5 j# zfcwkvcfh flfgzyobozohyf h ihzfykfk#

Bkckwzfyvl Fjvghŧkfk, Gfygfz ćykk şk Zkcfyfzvlvk Gfczyvl Chŧkochl pfczyv Gvyykgvlvb şk F}hlvhyf ãc Ãc} ćŧćbéczvl Pyfvck}fywkzhy

G# WVIKFGZVL KK ‗ ]hykhczh 800 Yfqol}hŧk vybćzohyfh pyoilfbć1 Gkygvkzvl jkc mknvyć, ãc ghyf Y 8 2 :ℭ ,

$86 pvcgzf+

9ℭ şk Y 7 2 =ℭ , fwzf hlkbfczhz lh o ihzfykf gv }hlohyfh z#f#b# F  2 9:]  şk yfqkwzfcŧh kczfycć cfnlkahiklć# Cfnlkaécj yfqkwzfcŧh gocjvgzohyfloy jf lfnćzvyć, jfzfybkchŧk1 h# yfqkwzfcŧh flfgzykgć fgdk}hlfczć h gkygvkzvlvk5 i# kczfcwkzhzfh gvyfczvlvk pykc wvywć5 g# zfcwkvcfh flfgzykgć lh ioycflf yfqkwzoyvlvk Y 9 # j# covh }hlohyf h kczfcwkzćŧkk gvyfczvlvk flfgzykg pykc wvywć jhgć ioycflf h şk i wf lfhnć pykc kczfybfjkvl vcvk gocjvgzoy jf yfqkwzfcŧć flfgzykgć cfnlkahiklć# Y 9 2

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