Download - Satellite Glass Revisited
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8/14/2019 Satellite Glass Revisited
1/9
^km`m!Xotm smxp}p Uoemp& 8>>;
Ohptxo`t
Fo|mox "8>>>+ dg`}amjtp bgu o `bojem h{ o jmu aojoemamjt cxga o uoem p{ptma tg
o ~km`m!xotm p{ptma fmod tg oj kj`xmopm kj ~xgd}`tkskt{ "aokjf{ tbxg}eb jmu bkxmp+& ojd ojkj`xmopm kj ~xgtp* Gjm mr~fojotkgj kp tbot tbm ~xmskg}p p`bmam uop jgt ~xgt aorkak|kje ojd
tbot tbm jmu aojoemamjt uop ohfm tg kdmjtkc{ ~xgd}`tkskt{ mjboj`kje ~gppkhkfktkmp* Um ~xg~gpm
bmxm o `ga~fmamjtox{ mr~fojotkgj< tbm uoem p{ptma uop ~xgt aorkak|kje h}t o `bojem kj
g}tpkdm g~tkgjp aodm o ~km`m!xotm p{ptma ~xgt aorkak|kje* Tbkp mr~fojotkgj kp `gjpkptmjt
uktb oj kj`xmopm kj ~xgd}`tkskt{ ojd oj kj`xmopm kj ~xgtp ojd p}eemptp tbm ka~gxtoj`m gc
g}tpkdm g~tkgjp kj mr~fokjkje `gjtxo`t}of cgxap*
? Kjtxgd}`tkgj
Fo|mox "8>>>+ dg`}amjtp bgu o `bojem kj `ga~mjpotkgj cxga bg}xf{ ~o{ tg ~km`m xotm ~o{ h{ o
jmu aojoemamjt fmd tg `bojemp kj ~xgd}`tkskt{& t}xjgsmx "aokjf{ tbxg}eb jmu bkxmp+& moxjkjep gc
ugximxp& ojd ~xgt*? Tbmxm kp kjdk`otkgj tbot tbm xa kp aoikje bkebmx ~xgtp octmx tbm `bojem kj
`ga~mjpotkgj* Fo|mox p}eemptp tbot tbm xa ao{ bosm pmfm`tmd o p}hg~tkaof `ga~mjpotkgj p{ptma&
pgamtbkje tbot tbm jmu aojoemamjt kdmjtkmd ojd `gxxm`tmd*8
Um pbgu bmxm tbot tbm `bojem kj `ga~mjpotkgj p`bmam kp c}ff{ `gjpkptmjt uktb ~xgt aorkak|o!
tkgj* Um `gjpkdmx o pka~fm agdmf gc `gjtxo`tkje uktb g}tpkdm g~tkgjp tbot oxm t{~m dm~mjdmjt* Tbm
agdmf oxtk`}fotmp o txodmg hmtummj mr`f}dkje gjm t{~m gc ugximxp kj gxdmx tg ~o{ fgumx xmjtp tg
tbm gtbmx t{~m ojd fkaktkje tbm p}~~f{ gc fohgx osokfohfm tg tbm xa* Tbm ~km`m!xotm `gjtxo`t pmxsmp
op o p`xmmjkje dmsk`m& h}t kp }pmd gjf{ kc tbm oppg`kotmd kj`mjtksm ~xghfma dgmp jgt fmod tg xmjtp cgx
?Tbm mm`tp oxm pkejk`ojt< ~xgd}`tkskt{ kj`xmopmd h{ 44- gj osmxoem& uoemp kj`xmopmd h{ 5- ubk`b p}eemptp tbot
~xgtp kj`xmopmd*8Eksmj tbm foxem ~xgd}`tkskt{ eokjp ghtokjmd tbxg}eb ~km`m!xotmp& ojgtbmx mr~fojotkgj cgx tbm cokf}xm tg odg~t
tbma kp tbmkx `gptp gc odakjkptxotkgj ojd agjktgxkje g}t~}t* Tbmxm kp jg ptxgje kjdk`otkgj tbot tbm odakjkptxotksm`gptp dm`xmopmd kj o pkejk`ojt uo{ hmcgxm ojd octmx tbm `bojem gc aojoemamjt*
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8/14/2019 Satellite Glass Revisited
2/9
Dxoct Cmhx}ox{ ?& 8>>; 8
tbm bkeb ~xgd}`tkskt{ t{~m tbot mr`mmd tbm fgpp kj g}t~}t tbot ug}fd xmp}ft kc o pkjefm uoem `gjtxo`t
umxm gmxmd*
Tbm xa g~tkaoff{ `bggpmp tg gmx o pkjefm `gjtxo`t tbot ottxo`tp gjf{ gjm t{~m gc ugximxp
ubmj tbm dkmxmj`m kj g}tpkdm g~tkgjp kp jgt tgg foxem* Op tbkp dkmxmj`m kj`xmopmp& o amj} `gjtxo`t
hm`gamp g~tkaof& ubmxm o amj} `oj hm ka~fmamjtmd h{ o ~km`m!xotm `gjtxo`t*
8 G}tpkdm G~tkgjp ojd ^km`m!Xotm @gjtxo`tp
O xa o`tp op o agjg~pgjkpt ojd o ugximx `oj ~xgd}`m oj g}t~}t gc { "m+ 1 m& ubmxm m X)*
Ugximxp `oj bosm fgu gx bkeb ~xgd}`tkskt{* Tbm ~xksotm `gpt tg tbm ugximx kp `F "m+ 1 m8'8 cgx fgu
t{~m& `B "m+ 1 m8'8 cgx bkeb t{~m& : ?* G}tpkdm g~tkgjp oxm sF& sB& uktb sB : sF*
0 Tg osgkd
txkskofktkmp& um opp}am tbot g}tpkdm g~tkgjp oxm `ga~otkhfm uktb tbm xa aoikje o jgjjmeotksm
~xgt cxga bkxkje o ugximx }jdmx ~mxcm`t kjcgxaotkgj& ?+*
Tbm oemjtp oxxksm ot tbm xa ot tbm xotm `gxxmp~gjdkje tg tbmkx ~xg~gxtkgjp kj tbm ~g~}fotkgj*
Tbmxm kp `gjptojt xmt}xj tg p`ofm kj fohgx ma~fg{md ojd tbm xa `oj ma~fg{ ot agpt gjm ugximx
~mx }jkt gc tkam* Kc tbm xa gmxp o `gjtxo`t tbot ottxo`tp hgtb t{~mp gc oemjtp& tbmxm ukff hm o
~xg~gxtkgj q gc B t{~mp ojd ? q gc F t{~mp& ojd tbm ~xgt ~mx ugximx kp tbm umkebtmd osmxoem
hmtummj tbm ~xgt aodm uktb o B t{~m ojd uktb o F t{~m* Kc tbm xa gmxp o `gjtxo`t tbot kp
ottxo`tksm tg gjf{ gjm t{~m gc ugximxp& po{ tbm fgu t{~m& kt ukff co`m o fgumx xotm gc oxxksof gc ugximxp&
ojd kj o eksmj tkam ~mxkgd gjf{ "? q+ ugximxp `oj hm bkxmd*
Tbm dmpkej gc `gjtxo`tp pmxsmp tug xgfmp< xpt& tg akjkak|m tbm `gpt tg tbm xa gc ma~fg{kjeo eksmj ugximx& pm`gjd tg ottxo t tbm t{~mp tbm xa dmpkxmp* @gjtxo`tp `oj hm dmpkejmd tg ottxo`t
mktbmx hgtb t{~mp gc ugximxp gx gjf{ gjm t{~m* Ubmj tbm xa uojtp tg ottxo`t gjf{ gjm t{~m& tbm
offg`otkgj kp ka~fmamjtmd h{ o uoem `gjtxo`t ojd ubmj tbm xa uojtp tg ottxo`t tbm tug t{~mp&
tbm offg`otkgj `oj hm ka~fmamjtmd h{ o ~km`m!xotm `gjtxo`t*
Tbkp kp kff}ptxotmd kj Cke}xm ?& cgx o t{~k`of `bgk`m gc g}tpkdm g~tkgjp* Ckxpt hmpt `gjtxo`tp cgx
fgu ojd bkeb t{~mp oxm ot ~gkjtp `F& `B xmp~m`tksmf{& ojd kjdkmxmj`m `}xsmp cgx tbm bkeb t{~mp oxm
ottmx tboj tbgpm gc fgu t{~mp pkj`m tbmkx aoxekjof `gpt gc mgxt kp fgumx*
H{ gmxkje o tgtof `ga~mjpotkgj gc u? op fgje op g}t~}t kp exmotmx tboj & gjf{ bkeb t{~mp
0T{~m `gjtkjemjt g}tpkdm g~tkgjp fmod tg jgjtxkskof txodmgp hmtummj kjdkskd}of xotkgjofkt{ ojd kj`mjtksm `ga!
~otkhkfkt{* pmm L}ffkmj "8>>>+ cgx o emjmxof ojof{pkp& ojd Fmexgp "8>>8+ cgx o dkp`}ppkgj gc tbm xgfm gc g}tpkdm g~tkgjpkj `gjtxo`tkje mjskxgjamjtp*+* Bmxm g}tpkdm g~tkgjp oxm toimj op mrgemjg}p h}t kj emjmxof tbm{ oxm tbmapmfsmp mq}k!fkhxk}a g}t`gamp* O c}ff ojof{pkp ug}fd xmq}kxm egkje ouo{ cxga ~oxtkof mq}kfkhxk}a h}t kp hm{gjd tbm p`g~m gc tbkpjgtm*
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8/14/2019 Satellite Glass Revisited
3/9
Dxoct Cmhx}ox{ ?& 8>>; 0
{
u
u> 1 ?'8 ) sF`F
`B
`B
u? 1 '8 ) sB
?
}F 1 sF
}B 1 sB
uoem gmx~km`m xotm gmx
?'
?
{
}B 1 sB)xmjt
Cke}xm ?< Uoem ojd ^km`m!Xotm @gjtxo`tp
dm`kdm tg ugxi cgx tbm xa ojd dg jgt emt o xmjt9 tbm `gpt tg tbm xa bgumsmx kp tbot gc cgxmegjm
g}t~}t pkj`m tbm xotm gc ~xgd}`tkgj kp gj{ q xotbmx tboj q ) ? q*
Ubmj xpt hmpt `gjtxo`tp oxm gmxmd& bkeb t{~mp hmjmt cxga pmfm`tkje `F xotbmx tboj `B ojd
ug}fd emt o xmjt kc tbmpm `gjtxo`tp umxm o`t}off{ gmxmd h{ tbm xa* Tbm xa ug}fd ptxk`tf{ eokj
h{ gmxkje o `gjtxo`t tbot eksmp tbkp fmsmf gc xmjt tg tbm bkeb t{~mp h}t kjd}`m tbma tg ~xgd}`m
agxm g}t~}t& op kj `B kj tbm e}xm* Op um ukff pbgu& tbm g~tkaof pm~oxotkje amj} `gjtxo`t kp
kjdmmd y`F& `
Bq*Tbkp pm~oxotkje `gjtxo t `oj hm o`bkmsmd h{ o ~km`m!xotm `gjtxo t< tbm hopm pofox{ kp u> 1
?'8 ) sF ojd tbmxm kp o hgj}p gc ?' cgx mo`b }jkt hmtummj ? ojd { ojd o hgj}p gc ? cgx mo`b }jkt
hmtummj { ojd & uktb o aorka}a tgtof `ga~mjpotkgj gc u? ) xmjt*4
Ubmtbmx gx jgt o uoem `gjtxo`t kp hmpt dm~mjdp gj tbm fmsmf gc tbm xmjt `ga~oxmd tg tbm g}t~}t
fgpp& ojd um t}xj jgu tg tbkp `boxo`tmxk|otkgj*
0 Uoem gx ^km`m!Xotm @gjtxo`tp7
P}~~gpm xpt tbot tbm xa uojtp tg ottxo`t hgtb t{~mp gc ugximxp* H{ tbm xmsmfotkgj ~xkj`k~fm& kt kp
mjg}eb tg gmx o amj} y"uB
& {B
+ & "uF
& {F
+q potkpc{kje kj`mjtksm `ga~otkhkfkt{ "t{~m i pmfm`tp tbm
4Tbm pfg~m gc tbm kjdkmxmj`m `}xsm gc tbm bkeb t{~m ot `F kp ?' ubkfm tbm pfg~m ot `
Bkp ?9 { kp tbm g}t~}t cgx
ubk`b tbm tug tojemjtp gxkekjotkje ot `F ojd `
Bkjtmxpm`t*
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8/14/2019 Satellite Glass Revisited
4/9
Dxoct Cmhx}ox{ ?& 8>>; 4
`gjtxo`t "ui& {i++ ojd kjdkskd}of xotkgjofkt{ "t{~m i bop o }tkfkt{ fmsmf cxga tbm `gjtxo`t exmotmx
tboj bkp g}tpkdm g~tkgj gc si+* Fmt
}B 1 uB
{8B
8 & }F 1 uF
{8F
8 *
Kc t{~m B `bggpmp `gjtxo`t "uF& {F+ &
}B "F+ 1 uF {8F8
1 }F ) ?
8{8F&
ojd kc t{~m F `bggpmp `gjtxo`t "uB& {B+&
}F "B+ 1 }B ?
8{8
B
*
^xgtp fmsmfp oxm
B 1 {B{8B8
}B&
F 1 {F {8F8 }F*
q kp tbm ~xghohkfkt{ gc boskje o bkeb t{~m ugximx `gakje "tbkji gc o gu oxxksof xotm kj o eksmj
~mxkgd+*
Kj tbm pm`gjd hmpt& K@ xmq}kxmp tbot }B }B "F+ & }F }F "B+ tbot kp&
?8
{8F }B }F ?
8{8B "8+
Kc tbmxm kp jg kjcgxaotkgjof ~xghfma& kt kp g~tkaof tg pmt {B 1 & {F 1 ? ojd }
i 1 si* Bgumsmx&
cxga "?+ ojd "8+& p}`b o pgf}tkgj kp ~gppkhfm gjf{ kc
?
8 sB sF
?
8* "0+
Bmj`m tbm dkmxmj`m kj g}tpkdm g~tkgjp `ojjgt hm tgg paoff "gtbmxukpm B t{~m ~xmcmxp tbm F
`gjtxo`t+ ojd `ojjgt hm tgg foxem "gtbmxukpm tbm F t{~m ~xmcmxp tbm B `gjtxo`t+* Ubmj "0+ dgmp
jgt bgfd& tbm xa `oj mktbmx dkptgxt tbm xmjtp }i gx tbm toxemt g}t~}t fmsmfp {i kj gxdmx tg ottxo`t
"gx xmtokj+ ugximxp* @gjtxo`tp `oj hm dmpkejmd tg ottxo`t hgtb t{~mp gc oemjtp gx tg ottxo`t gjf{gjm t{~m gc oemjt* Kc tbm xa uojtp tg ottxo`t hgtb t{~mp gc oemjtp& tbm ~xgt aorkak|kje amj}
pgfsmp*
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8/14/2019 Satellite Glass Revisited
5/9
Dxoct Cmhx}ox{ ?& 8>>; =
aor}k&{k
qB ) "? q+ F
}B }F ?8 ? {8F
}B }F ?
8
?
{8B
}B sB
}F sF
Um `boxo`tmxk|m kj tbm O~~mjdkr tbmpm `gjtxo`tp ojd um p}aaoxk|m g}x jdkjep kj tbm jmrt
~xg~gpktkgj* "Tbm oxe}amjtp oxm ptojdoxd h}t oxm kj`f}dmd cgx tbm poim gc `ga~fmtmjmpp*+
Fmaao* P}~~gpm tbot tbm xa uojtp tg ottxo`t hgtb t{~mp gc oemjtp ojd gmxp o amj} gc `gjtxo`tp
""{B& }B+ & "{F& }F++* Tbm ~xgt aorkak|kje amj} boskje tbkp ~xg~mxt{ ofuo{p p~m`kmp tbm xpt hmpt
fmsmfp gc g}t~}t {B 1 ojd {F 1 ?* C}xtbmxagxm& gjf{ tbm bkeb t{~mp ao{ emt o ~gpktksm xmjt& tbot kp ubmj
sF sF ) ?
8
? q
q
8 sF
1sFq
) ?
8
? q
q
8
1 "sF+
Pkj`m sF 68 & "sF+ 6 sF )
?8
ojd um bosm&
^xg~gpktkgj* Kt kp g~tkaof tg gmx o pkjefm `gjtxo`t kc ojd gjf{ kc sB "sF+* P}`b o `gjtxo`t
ottxo`tp gjf{ bkeb t{~mp*
Uktbkj tbm xmekgj Y>& ?8 Q& o uoem `gjtxo`t kp }pmd ubmj sBsF 6 "sF+ ojd gtbmxukpm o amj}
`gjtxo`t ekskje o xmjt tg tbm bkeb t{~m ugximxp kp pmfm tmd* Hm`o}pm "sF+ kj`xmopmp uktb sF& tbm
`gjdktkgjp cgx g~tkaofkt{ gc tbm uoem smxp}p ~km`m!xotm `gjtxo`t dm~mjd hgtb gj tbm dkmxmj`m kj
g}tpkdm g~tkgjp ojd gj tbmkx ohpgf}tm fmsmfp* Op kp o~~oxmjt cxga Cke}xm 8& kc tbm g}tpkdm g~tkgjp gc
tbm fgu ojd bkeb t{~mp dm`xmopm h{ tbm poam oag}jt& xap ukff `bggpm fmpp gctmj o uoem `gjtxo`t*
Kj ~oxtk`}fox& tbm pbkct cxga o uoem tg o amj} `gjtxo`t kp `gjpkptmjt uktb tbm umff dg`}amjtmd
kj`xmopm kj uoem kjmq}ofkt{ kj tbm fopt tumjt{ {moxp* Ptojdoxd mr~fojotkgjp fkim oj kj`xmopm kj tbm
dmaojd cgx pikffmd ugximxp ojd oj kj`xmopm kj tbm p}~~f{ gc fgu pikffmd ugximxp ug}fd txojpfotm kj
oj kj`xmopm kj sB ojd o dm`xmopm kj sF& fmodkje tg o agsm gc ~gkjt s kj Cke}xm 8 kjtg tbm amj}
xmekgj& op kjdk`otmd h{ tbm oxxgup*
P}`b o agsm cxga o uoem `gjtxo`t tg o ~km`m!xotm `gjtxo`t ukff fmod tg oj kj`xmopm kj ~xgd}`tkskt{&
kj tbm tgtof uoem hkff& `gjpkptmjt uktb tbm jdkjep kj Fo|mox "8>>>+*
4 @gj`f}pkgj
Um bosm ~xgskdmd bmxm oj mr~fojotkgj cgx tbm `bojem cxga rmd uoemp tg ~km`m!xotm p`bmamp hopmd
gj o pka~fm txodmg hmtummj ~xgd}`tkskt{ ojd xmjtp o``x}kje tg tbm bkeb t{~m ugximxp* Cokf}xm tg
}pm ~km`m xotm `gjtxo`tp dmp~ktm tbm ~xgd}`tkskt{ hggpt tbm{ ug}fd emjmxotm ao{ jgt hm o pkej tbot
aojoemxp cokfmd tg aorkak|m ~xgtp*
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8/14/2019 Satellite Glass Revisited
7/9
Dxoct Cmhx}ox{ ?& 8>>; 5
>
sB
sF?'8
'8
?8
">+
"sF+
Amj}& xmjt
Uoem
CH Amj}
s
Cke}xm 8< G}tpkdm G~tkgjp ojd G~tkaof @gjtxo`t}of Cgxa
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8/14/2019 Satellite Glass Revisited
8/9
Dxoct Cmhx}ox{ ?& 8>>; 2
Tbkp pka~fm agdmf p}eemptp agxm hxgodf{ tbot kj gxdmx tg mr~fokj gxeojk|otkgjof `bgk`m& gx
`ga~mjpotkgj p`bmamp uktbkj o xa& kt kp ka~gxtojt tg fggi g}tpkdm tbm xa* G}tpkdm g~tkgjp
aottmx agpt ubmj tbmxm kp o tmjpkgj hmtummj ~xgd}`tkskt{ mjboj`kje gxeojk|otkgjof `bgk`mp ojd
xmpkd}of ~xgt cgx tbm xa dm`kdmxp* Tbm{ oxm ghskg}pf{ ~oxt gc o emjmxof mq}kfkhxk}a ubmxm ugximxp
oxm aghkfm o`xgpp xap ojd pm`tgxp* Bmj`m& `bojemp kj gjm pm`tgx& m*e*& oj kj`xmopm kj ~xgd}`tkskt{
d}m tg o pm`tgx!p~m`k` tm`bjgfgek`of pbg`i& gx oj kj`xmopm kj tbm ~xgd}`t ~xk`m& ao{ om`t g}tpkdm
g~tkgjp ojd fmod tg xmptx}`t}xkje kj pm`tgxp tbot bosm jgt hmmj om`tmd h{ p}`b `bojemp*=
Ubmtbmx tbkp mr~fojotkgj kp agxm xmfmsojt tboj o cokf}xm gc aojoemxp tg aorkak|m ~xgtp kp oj
ma~kxk`of kpp}m* Jmsmxtbmfmpp& xm`mjt mskdmj`m "m*e*& Coeekg mt of* "8>>5++ tbot uoem kjmq}ofkt{ uktbkj
xap ao{ xmm`t kjmq}ofkt{ hmtummj xap ojd kjd}ptxkmp ~xgskdmp pgam `gacgxt tg tbm ptgx{ tbot
`bojemp kj g}tpkdm g~tkgjp ao{ bosm hmmj kjptx}amjtof kj fmodkje tg tbm `bojem kj tbm `ga~mjpotkgj
p`bmam kj tbm Potmffktm `opm*
= O~~mjdkr< ^xggc gc tbm FmaaoP}~~gpm tbot sB sF 6
?8
*
aor}k&{k
q
{B
{8B8
}B
) "? q+
{F
{8F8 }F
"=+
}B }F ?
8
?
{8F "3+
}B }F ?
8
?
{8B "5+
}B sB "2+
}F sF ";+
Fmt B& F& B& F hm tbm `gmff`kmjtp oppg`kotmd tg `gjptxokjtp "3+& "5+& "2+ ojd ";+ xmp~m`tksmf{
ojd F tbm Foexojekoj* Jgtm tbot um a}pt bosm {B {F h{ "3+!"5+*
Um `ojjgt bosm {F : ? cgx gtbmxukpm F{F 6 > cgx off B ojd um ug}fd bosm {F 1 >* Bmj`m
{F ?*
Kc {F 6 ? tbmj F{F 1 > ubmj B : >* Tbmj& FB 1 > ojd }B }F 1?8
{8F* Op fgje op
{B {F& "5+ bgfdp& ojd F 1 >* H}t tbmj& F}F 1 B ) F kp |mxg gjf{ kc F kp ~gpktksm9 bmj`m
}F 1 sF* Kt cgffgup tbot tbm aorkak|otkgj ~xghfma `oj hm xmuxkttmj op
aory{F&{Bq
q
{B{8B8
sF ?
8
"? q+
{F
{8F8 sF
=Pmm Fmexgp ojd Jmuaoj "8>>2+ cgx o agdmf ofgje tbmpm fkjmp kj agxof bo|oxd pmttkjep*
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8/14/2019 Satellite Glass Revisited
9/9
Dxoct Cmhx}ox{ ?& 8>>; ;
h}t tbkp kp kj`xmopkje kj {F cgx {F 6 ?& o `gjtxodk`tkgj*
Tbmxmcgxm& um a}pt bosm {F 1 ?& F{F 1 > gjf{ kc B 1 >* H{ opp}a~tkgj sB sF 6?8
ojd tbmxmcgxm "3+ `oj bgfd ubmj {F 1 ? gjf{ kc }B }F : sB sF* Bgumsmx& pkj`m tbm ghlm`tksm
c}j`tkgj kp dm`xmopkje kj }B
ojd kj }F
& kt kp g~tkaof tg hkjd "3+& pkj`m "3+ uktb oj mq}ofkt{ ka~fkmp
"5+* Bmj`m& }F 1 sF& ojd }B : sB* H}t tbmj F{B 1 > ubmj {B 1 * ^xgt kp tbmj&3
1 q
8 sF
?
8
) "? q+
?
8 sF
1?
8) q
" ?+8
8 sF
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