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 AO\POX=SO,K^^O\SOXXSMR^SX0O_O\YNO\AK]]O\/]

LO]^OR^/bZVY]SYX]QOPKR\

 =O^dOX =SO NSO ,K^^O\SO UOSXOX Ob^\OWOX ,ONSX

Q_XQOXK_]d,K_P2OSdUØ\ZO\X_X^O\=YXXOX

]^\KRV_XQ/\RØR^O+_]VK_PQOPKR\

 ,S^^OLOX_^dOX=SOVONSQVSMRNOX>cZ`YX,K^^O\SOX

SX NSO]OW >K]MROX\OMRXO\ NO\ SX NSO]O\ ,ONSO

X_XQ]KXVOS^_XQ]ZOdSPSdSO\^aS\N

 =^OVVOX=SO]SMRO\NK]]NO\>K]MROX\OMRXO\XKMR

1OL\K_MRKLQO]MRKV^O^S]^

 /X^PO\XOX=SONSO,K^^O\SOLOSVÆXQO\O\8SMR^`O\

aOXN_XQK_]NOW>K]MROX\OMRXO\

 .SO WS^ NSO]O\ /SXROS^ WS^QOVSOPO\^O ,K^^O\SO aS\N

aÆR\OXN NOW @O\]KXN _XN NO\ 6KQO\_XQ O^aK]

OX^VKNOX .KRO\ W_]] NSO]O ,K^^O\SO P\ÞRO\ KV]

XKMR NO\ XY\WKVOX ,K^^O\SOVOLOX]NK_O\ K_]QO

^K_]MR^aO\NOX

 8SON\SQO,K^^O\SO]ZKXX_XQUKXXd_OSXO\5Y\\_W

ZSO\_XQYNO\d_@O\V_]^NO]3XRKV^]NO]=ZOSMRO\]

PÞR\OX 0O\^SQOX =SO NKRO\ SWWO\ ]MR\SP^VSMRO

=MR_^dUYZSOXKVVO\aSMR^SQOX.K^OXKX

5YXPY\WS^Æ^]O\UVÆ\_XQ

 .SO5YXPY\WS^Æ^NO]:\YN_U^O]WS^NOXQO]O^dVSMR

`Y\QO]MR\SOLOXOX =^KXNK\N] aS\N QOaÆR\VOS]^O^

.SO`YVV]^ÆXNSQO5YXPY\WS^Æ^]O\UVÆ\_XQPSXNOX=SO

SW3X^O\XO^_X^O\aaaQ^]_ZZY\^NO

+LXORWOX _XN +XL\SXQOX NO\ +L

NOMU_XQNO]<OMRXO\]

 @Y\NOW,OQSXX

2KV^OX=SONSO+LNOMU_XQQO

WÆÁ +LLSVN_XQ _XN ]MRSOLOX

=SO NOX <OMRXO\ K_] NO\ +L

NOMU_XQ

 8KMRNO\,OOXNSQ_XQ

2KV^OX=SONSO+LNOMU_XQQOWÆÁ

+LLSVN_XQ _XN ]MRSOLOX =SO NOX

<OMRXO\K_]NO\+LNOMU_XQ

L =MRSOLOX =SO SWWO\ NOX

<OMRXO\ WS^ NOW >K]^K

^_\OXNO d_O\]^ SX NSO +L

NOMU_XQ OSX =MRSOLOX =SO

XSOWKV] NK] .S]ZVKcOXNO

NO]<OMRXO\]SXNSO+LNO

MU_XQOSX

/SX+_]]MRKV^OX

/SX]MRKV^OX$

.\ÞMUOX=SONSO>K]^O



+_]]MRKV^OX$

.\ÞMUOX=SOXKMROSXKXNO\NSO>K]^OX

SHIFT

_XN

OFF



L .O\<OMRXO\LO]S^d^OSXOK_^YWK^S]MRO+L]MRKV

^_XQNSOXKMRMK 7SX_^OXYRXO>K]^OXLO^Æ

^SQ_XQNOX<OMRXO\K_]]MRKV^O^.KLOSQOROXKVVO

+XdOSQOX`O\VY\OXAO\^ONSOSW=ZOSMRO\RSX

^O\VOQ^]SXNLVOSLOXO\RKV^OX]SORO5KZ=ZOS

MRO\\OMRX_XQOX

7OR\PKMRLOVOQ_XQ `YX >K]^OX _XN

\SMR^SQO/SXQKLO

L .K NO\ aS]]OX]MRKP^VSMRO >K]MROX\OMRXO\ ÞLO\

OSXO @SOVdKRV `YX 0_XU^SYXOX `O\PÞQ^ ]SXN NSO

WOS]^OX>K]^OXNYZZOV^LOVOQ^

.SO5Þ\dOV_XNDOSMROXPÞ\NSOd_]Æ^dVSMROX0_XU^SY

XOXOSXO\>K]^O]SXNÞLO\YNO\_X^O\NSO]O\SX_X^O\

]MRSONVSMROX0K\LOXK_PQON\_MU^

.SO]O d_]Æ^dVSMROX0_XU^SYXOX\_P^WKXK_PSXNOW

WKX `Y\RO\ NSO>K]^O

ALPHA

 PÞ\ NSO LVK_ QON\_MU^OX

0_XU^SYXOXYNO\`Y\RO\NSO>K]^O

SHIFT

PÞ\NSOY\KXQO

QON\_MU^OX0_XU^SYXOXN\ÞMU^

,OS]ZSOV$

?W

!



d_LO\OMRXOXN\ÞMUOX=SOXKMROSXKXNO\

PYVQOXNO>K]^OX$

SHIFT



L ¾LO\NO\>K]^O

S]^Y\KXQONK]=cWLYV





KXQOL\KMR^SXNSO]OW,OS]ZSOVa_\NOXKLO\NSO

>K]^OXNK\QO]^OVV^.KNSO]LOSNO\/\UVÆ\_XQNO\

/SXQKLO`YXUYWZVObOX0Y\WOVX]^Ø\OXNS]^aS\N

SW0YVQOXNOXSWWO\XKMRNO\TOaOSVSQOX0_XU

^SYX]_W]MRKV^^K]^O

ALPHA

YNO\

SHIFT

NSO^K^]ÆMRVSMR

K_Pd_\_POXNO0_XU^SYX_XNXSMR^NK]=cWLYVK_P

NO\OSQOX^VSMROX>K]^ONK\QO]^OVV^

L DKRVOXOSXQKLOXaO\NOXXSMR^KV]>K]^OX]cWLYVO

]YXNO\XKV]DSPPO\XNK\QO]^OVV^=YaS\NNSO/SX

QKLOK_PPY\NO\_XQPÞ\NK]YLOXQOdOSQ^O,OS]ZSOV

SXNSO]O\+XVOS^_XQ]YK_]]OROX$

,OS]ZSOV$

D_LO\OMRXOXS]^

!





SHIFT



!





@Y\,OQSXX`YX<OMRX_XQOX

DaOSdOSVSQO].S]ZVKc

.K]daOSdOSVSQO.S]ZVKcO\WØQVSMR^NSOQVOSMRdOS^SQO

+XdOSQONO\,O\OMRX_XQ]PY\WOV_XNNO]/\QOLXS]

]O]

 9LO\ODOSVO$DOSQ^NSO,O\OMRX_XQ]PY\WOVKX

 ?X^O\ODOSVO$DOSQ^NK]/\QOLXS]KX

 /SX>\OXX_XQ]]cWLYVaS\NXKMRTOaOSV]N\OS=^OVVOX

KXQOdOSQ^aOXXNO\QKXddKRVSQO>OSVNO\7KX^S]]O

WOR\KV]N\OS=^OVVOXK_PaOS]^

,O^\SOL]K\^OX7YNS

L ,O`Y\=SOWS^OSXO\<OMRX_XQLOQSXXOXWÞ]]OX

=SOd_O\]^NOX\SMR^SQOX7YN_]K_P\_POXaSOSX

NO\PYVQOXNOX>KLOVVOKXQOQOLOX

 .\ÞMUOX=SONSO

MODE

>K]^OWOR\KV]OSXWKV_WSX

aOS^O\O/SX]^OVVKXdOSQOXd_QOVKXQOX.SO/SX]^OV

VKXdOSQOX]SXNSXNOX+L]MRXS^^OXNSO]O\+XVOS^_XQ

<OMRX_XQ]^cZ$ >K]^OXLO^Æ^SQ_XQ$ 7YN_]$

+\S^RWO^S]MRO

1\_XN\OMROXK\^OX

MODE



&2 03

=^KXNK\NKLaOSMR_XQ

MODE



6'

<OQ\O]]SYX]\OMRX_XQOX

MODE



5( *

T







L ?W K_P NSO KXPÆXQVSMROX _X^OX K_PQOPÞR\^OX

@Y\QKLOXPÞ\,O\OMRX_XQ]WYN_]_XN/SX]^OVV_XQ

d_\ÞMUd_]^OVVOXN\ÞMUOX=SONSO>K]^OX

SHIFT



CLR



7YNO



LO]MR\SOLOXSXaOVMROX]SO^K^]ÆMRVSMR`O\aOXNO^

aO\NOX _W NSO /SX]^OVV_XQOX NO] <OMRXO\] d_

ÆXNO\X

 3W0YVQOXNOXS]^NSO,OdOSMRX_XQNO]PÞ\LO]^SWW

^O,O\OMRX_XQOXK_Pd_\_POXNOX7YN_]SW2K_Z^

^S^OVNO]TOaOSVSQOX+L]MRXS^^O]LO]MR\SOLOX

,OS]ZSOV$=^K^S]^S]MRO,O\OMRX_XQOX

6'5(*

1\_XNOSX]^OVV_XQ

-97:

<OMRX_XQ]WYN_]$   & 2 0 3

ASXUOVK\Q_WOX^$   .OQ

/bZYXOX^SKV+XdOSQOPY\WK^$ 8Y\W

,\_MRKXdOSQOPY\WK^$  K

M

.OdSWKVZ_XU^dOSMROX$  .Y^:_XU^

 7YN_]KXdOSQOX O\]MROSXOX SW YLO\OX >OSV NO]

.S]ZVKc]

 ,O`Y\=SOWS^OSXO\<OMRX_XQLOQSXXOXÞLO\Z\Þ

POX=SO_XLONSXQ^NOXKU^_OVVOX<OMRX_XQ]WYN_]

=.</1-97:_XNNSO/SX]^OVV_XQNO]ASXUO

VK\Q_WOX^] .OQ +V^Q\KN <KN ,YQOXWKÁ 1\K

8O_Q\KN

/SXQKLOUKZKdS^Æ^

 0Þ\/SXQKLOX`YX<OMRX_XQOXUKXXNO\=ZOSMRO\

LO\OSMR!#=MR\S^^OK_PXORWOX0Þ\TONO,O^Æ

^SQ_XQOSXO\DSPPO\X^K]^OYNO\OSXO\K\S^RWO^S]MROX

9ZO\K^SYX]^K]^O



aS\NOSX=MR\S^^

`O\aOXNO^ .SO ,O^Æ^SQ_XQ NO\

SHIFT

  YNO\

ALPHA

>K]^OLOXØ^SQ^UOSXOX=MR\S^^]YNK]]NSO/SXQK

LO`YXd,

SHIFT



X_\KV]OSX=MR\S^^QOdÆRV^aS\N

 3XOSXOOSXdSQO<OMRX_XQUØXXOXLS]d_!#=MR\S^^O

OSXQOQOLOXaO\NOX,OS/SXQKLONO]!=MR\S^^O]

SXOSXO<OMRX_XQaOMR]OV^NO\-_\]Y\`YXwIxK_P



wx_WNK\K_PRSXd_aOS]OXNK]]NSO=ZOSMRO\

UKZKdS^Æ^LKVNK_PQOL\K_MR^S]^AOXX3R\O<OMR

X_XQ WOR\ KV] !# =MR\S^^O _WPK]]^ ]YVV^OX =SO

NSO]OSXdaOSYNO\WOR\>OSVOK_P^\OXXOX

 .\ÞMUOX =SO NSO

Ans

>K]^O _W NK] d_VO^d^ O\

RKV^OXO /\QOLXS] K_Pd_\_POX =SO UØXXOX NSO

]O] NKXX SX aOS^O\OX <OMRX_XQOX `O\aOXNOX

AOS^O\O 3XPY\WK^SYXOX d_\  @O\aOXN_XQ NO\

Ans



>K]^OPSXNOX=SOSW+L]MRXS^^w+X^aY\^]ZOSMRO\x

,O\SMR^SQ_XQOXaÆR\OXNNO\/SXQKLO

 @O\]MRSOLOX=SONOX-_\]Y\N_\MR.\ÞMUOXNO\

_XN >K]^OXKXNSOQOaÞX]MR^O=^OVVO

 ._\MR.\ÞMUOXNO\

DEL

>K]^OaS\NNK]DOSMROXKX

NO\QOQOXaÆ\^SQOX-_\]Y\ZY]S^SYXQOVØ]MR^

 ?W K_P OSXOX /SXPÞQOM_\]Y\

 _Wd_]MRKV^OX

N\ÞMUOX=SONSO>K]^OX

SHIFT

_XN

INS

AÆR\OXNNO\

/SXPÞQOM_\]Y\SW.S]ZVKcKXQOdOSQ^aS\NaO\NOX

3R\O/SXQKLOXKXNO\:Y]S^SYXNO]-_\]Y\]OSXQO

PÞQ^

 ._\MR .\ÞMUOXNO\>K]^OX

SHIFT

 _XN

INS

 YNO\NSO

>K]^O UOR\OX =SO `YW /SXPÞQOM_\]Y\ aSONO\

d_WXY\WKVOX-_\]Y\d_\ÞMU

ASONO\RYV_XQ]P_XU^SYX

 .SO ASONO\RYV_XQ]P_XU^SYX ]ZOSMRO\^ LOS +_]

PÞR\_XQ OSXO\ <OMRX_XQ K_^YWK^S]MR NSO ,O

\OMRX_XQ]PY\WOV_XNSR\/\QOLXS]SWASONO\RY

V_XQ]]ZOSMRO\KL?WNSO0Y\WOV_XNNK]/\QOLXS]

NO\ d_VO^d^ K_]QOPÞR\^OX <OMRX_XQ KXd_dOSQOX

N\ÞMUOX =SO NSO 

>K]^O.\ÞMUOX =SO O\XO_^

NSO

>K]^O _W XKMROSXKXNO\ `YX XO_ K_P

KV^N_\MRNSOd_`Y\K_]QOPÞR\^OX<OMRX_XQOXd_

LVÆ^^O\X

 AS\NOSXO<OMRX_XQK_]NOWASONO\RYV_XQ]]ZOS

MRO\ SW .S]ZVKc KXQOdOSQ^ aS\N N_\MR .\ÞMUOX

NO\

YNO\ >K]^OSXNSO/NS^SO\KXdOSQOQO



aOMR]OV^?W_XWS^^OVLK\XKMR,OOXNSQ_XQOSXO\

<OMRX_XQ SX NSO /NS^SO\KXdOSQO RSO\PÞ\ d_ QO

VKXQOXN\ÞMUOX=SOOLOXPKVV]NSO

YNO\

>K]^O

 .O\ ASONO\RYV_XQ]]ZOSMRO\ aS\N N_\MR .\ÞMUOX

NO\

>K]^OXSMR^QOVØ]MR^]YNK]]=SONSOVO^d^O

<OMRX_XQK_MRXKMRNOW.\ÞMUOXNO\

>K]^O

aSONO\K_P\_POXUØXXOX

 .O\ASONO\RYV_XQ]]ZOSMRO\RK^OSXO5KZKdS^Æ^`YX

",c^O]PÞ\NSO=ZOSMRO\_XQ]YaYRVNO\+_]N\Þ

MUOKV]K_MRNO\/\QOLXS]]O

 .O\ASONO\RYV_XQ]]ZOSMRO\aS\NQOVØ]MR^$

z AOXX=SONSO

>K]^ON\ÞMUOX

z AOXX=SONSO7YNS_XN/SX]^OVV_XQOXN_\MR.\Þ

MUOXNO\>K]^OX

SHIFT



CLR



YNO\



SXS^S

KVS]SO\OX

z AOXX=SO`YXOSXOW<OMRX_XQ]WYN_]K_POSXOX

KXNO\OX_W]MRKV^OX

z AOXX=SONOX<OMRXO\K_]]MRKV^OX

0ORVO\ZY]S^SYX

 ._\MR .\ÞMUOX NO\  YNO\ >K]^O XKMR

NOW +_P^\O^OX OSXO] 0ORVO\] aS\N NSO <OMRX_XQ

KXQOdOSQ^ aYLOS NO\ -_\]Y\ KX NO\ PORVO\RKP^OX

=^OVVOZY]S^SYXSO\^S]^

7OR\PKMRKXaOS]_XQ

/SXO 7OR\PKMRKXaOS]_XQ S]^ OSX+_]N\_MU NO\ K_]

daOS YNO\ WOR\O\OX UVOSXO\OX+_]N\ÞMUOXLO]^OR^

NSON_\MROSXOX5YVYX$`O\L_XNOX]SXN

 ,OS]ZSOV$D_KNNSO\OX]SXN aY\K_PNK]/\

QOLXS]WS^W_V^SZVSdSO\^aO\NOX]YVV







ALPHA



Ans









 



.S]Z

+X]b





0Sb =MS 8Y\W



/bZYXOX^SKV+XdOSQOPY\WK^

.SO]O\<OMRXO\UKXXLS]d_=^OVVOXKXdOSQOX,OSQ\Ø

ÁO\OXAO\^OXO\PYVQ^NSO+XdOSQOK_^YWK^S]MRSXNO\Ob

ZYXOX^SOVVOX =MR\OSLaOS]O ,OS .OdSWKVaO\^OX UØXXOX

=SOdaS]MROXdaOS0Y\WK^OXaÆRVOXNSOLO]^SWWOXKX

aOVMROW:_XU^NSOObZYXOX^SOVVO=MR\OSLaOS]O`O\aOXNO^

aS\N

 ?W NK] /bZYXOX^SKV+XdOSQOPY\WK^ d_ ÆXNO\X

N\ÞMUOX=SOaSONO\RYV^NSO

MODE

>K]^OLS]=SOSX

NSO_X^OXNK\QO]^OVV^O/SX]^OVVKXdOSQOQOVKXQOX

 .\ÞMUOX=SONSO>K]^O3XNO\X_XO\]MROSXOX

NOX0Y\WK^aKRVKXdOSQON\ÞMUOX=SOYNO\_W

8Y\WLda8Y\Wd_aÆRVOX

8Y\W

,OS8Y\WaS\NNSOObZYXOX^SOVVO=MR\OSLaOS]OK_^Y

WK^S]MRPÞ\QKXddKRVSQOAO\^OWS^WOR\KV]=^OVVOX

_XNPÞ\.OdSWKVaO\^OWS^WOR\KV]daOS.OdSWKV]^OVVOX

`O\aOXNO^

8Y\W

,OS8Y\WaS\NNSOObZYXOX^SOVVO=MR\OSLaOS]OK_^Y

WK^S]MRPÞ\QKXddKRVSQOAO\^OWS^WOR\KV]=^OVVOX

_XNPÞ\.OdSWKVaO\^OWS^WOR\KV]XO_X.OdSWKV]^OV

VOX`O\aOXNO^

 +VVOSXNSO]O\+XVOS^_XQK_PQOPÞR\^OX<OMROXLOS

]ZSOVO`O\aOXNOXNK]0Y\WK^8Y\W

.OdSWKVZ_XU^_XN>\OXX_XQ]]cWLYVO

7S^NO\.S]ZVKc/SX]^OVVKXdOSQO.S]ZUØXXOX=SONSO

=cWLYVO]ZOdSPSdSO\OXNSO=SOPÞ\NOX.OdSWKVZ_XU^

_XNNK]>\OXX_XQ]dOSMROXXKMRTOaOSV]N\OS=^OVVOX

`O\aOXNOXWØMR^OX



1\_XNVOQOXNO<OMRX_XQOX &203

L <_POX=SONOX-97:7YN_]ÞLO\NSO>K]^OXUYW

LSXK^SYX

MODE



K_P

+\S^RWO^S]MRO<OMRX_XQOX

 8OQK^S`OAO\^O SX <OMRX_XQOX WÞ]]OX SX 5VKW

WO\XOSXQO]MRVY]]OXaO\NOX0Þ\/SXdOVROS^OX]SO

ROw@Y\\KXQ]PYVQONO\9ZO\K^SYXOXx

 /SX XOQK^S`O\ /bZYXOX^ W_]] XSMR^ SX 5VKW

WO\XOSXQO]MRVY]]OXaO\NOX 

]SXb

z

(

sin



EXP



(–)





.S]Z

 D_\ ¦XNO\_XQ NO\ /SX]^OVV_XQ NO] .OdSWKVZ_XU^]

_XNNO]>\OXX_XQ]]cWLYV]N\ÞMUOX=SOaSONO\RYV^

NSO

MODE

>K]^O_WSXNSO_X^OXNK\QO]^OVV^O /SX

]^OVVKXdOSQOd_QOVKXQOX

 .\ÞMUOX =SO

 _XN aOMR]OVX =SO KX]MRVSOÁOXN

N_\MR.\ÞMUOXNO\

>K]^OSXNSOXÆMR]^O/SX

]^OVVKXdOSQO

 AÆRVOX =SO X_X N_\MR .\ÞMUOX NO\ DSPPO\X^K]^O



YNO\

NSOQOaÞX]MR^O/SX]^OVV_XQ

.Y^$ .OdSWKVZ_XU^ 5YWWK KV] >\OXX_XQ]

dOSMROX

-YWWK$5YWWK]^K^^.OdSWKVZ_XU^:_XU^KV]

>\OXX_XQ]dOSMROX

3XS^SKVS]SO\_XQNO]<OMRXO\]

 ?WNOX<OMROXWYN_]]YaSONSO/SX]^OVV_XQd_SX

S^SKVS]SO\OX _XN NOX ASONO\RYV_XQ]]ZOSMRO\ ]YaSO

NSO@K\SKLVOXd_VØ]MROXPÞR\OX=SONSOPYVQOXNO

>K]^OXLO^Æ^SQ_XQK_]

SHIFT



CLR



+VV





,OS]ZSOV$   

#

,OS]ZSOV$     







.SO/\QOLXS]]O`YXQOWS]MR^OX,\_MR.OdSWKV\OMR

X_XQOXaO\NOXSWWO\SW.OdSWKVPY\WK^KXQOdOSQ^

?WaKXNV_XQ`YX,\_MRdKRV&(SX.OdS

WKVdKRV

1OROX=SOaSOXKMRPYVQOXNLO]MR\SOLOX`Y\_W

<OMRX_XQ]O\QOLXS]]OdaS]MROX.OdSWKVaO\^OX_XN

,\_MRaO\^OX_Wd_aKXNOVX

,S^^OLOKMR^OX=SONK]]PÞ\NSO+_]PÞR\_XQNO\?W

aKXNV_XQ LS] d_ daOS =OU_XNOX LOXØ^SQ^ aO\NOX

UØXXOX

,OS]ZSOV$ bb

z

'b

z



   



EXP



(–)



,OS]ZSOV$ b '

   



(

 

)



=SOUØXXOXKVVO

)

9ZO\K^SYXOX`Y\NO\

>K]^OaOQVK]]OX

,\_MR\OMRX_XQOX

,\_MR\OMRX_XQOX

AOXX NSO =_WWO NO\ =^OVVOX OSXO] ,\_MR

aO\^O] 1KXddKRV  DÆRVO\  8OXXO\  >\OX

X_XQ]dOSMROX  ÞLO\]^OSQ^ aO\NOX NSO AO\

^OK_^YWK^S]MRSW.OdSWKVPY\WK^KXQOdOSQ^ 





 '













 '





 



























 '





,OS]ZSOV$



  

 



"



 





 





,OS]ZSOV$

!

,OS]ZSOV$ !,\_MR&(.OdSWKV

.S]Z



?WaKXNV_XQ QOWS]MR^O\ ,\_MRdKRVOX &(

?XOMR^O,\ÞMRO

 7S^NO\.S]ZVKc/SX]^OVVKXdOSQO.S]ZUØXXOX=SO

NK]+XdOSQOPY\WK^]ZOdSPSdSO\OXaOXXNK]/\QOL

XS]OSXO\,\_MR\OMRX_XQQ\ØÁO\KV]OSX]S]^

 ?W NK] ,\_MRKXdOSQOPY\WK^ d_ ÆXNO\X N\ÞMUOX

=SO aSONO\RYV^ NSO

MODE

>K]^O _W SX NSO _X^OX

NK\QO]^OVV^O/SX]^OVVKXdOSQOd_QOVKXQOX

 .\ÞMUOX=SO

_WSXNSO/SX]^OVVKXdOSQOd_QO

VKXQOX

 AÆRVOX =SO X_X WS^ NOX DSPPO\X^K]^OX 

 YNO\

NSOQOaÞX]MR^O/SX]^OVV_XQ



K

M$ 1OWS]MR^O\,\_MR



NM$ ?XOMR^O\,\_MR

,OS]ZSOV$' .OdSWKV(,\_MR

























!









  



  

  '

SHIFT



d/c

  



  

,OS]ZSOV$   ,\_MR&(.OdSWKV

  





 

SHIFT



d/c

 

SHIFT



d/c











 



 







"

L =SOO\RKV^OXOSXO0ORVO\WOVN_XQaOXX=SO`O\

]_MROX OSXOX QOWS]MR^OX ,\_MR OSXd_QOLOX

aÆR\OXNNK]+XdOSQOPY\WK^NMQOaÆRV^S]^

:\YdOX^\OMRX_XQOX

,OS]ZSOV$D_LO\OMRXOX]SXN`YX





SHIFT





,OS]ZSOV$ASO`SOV:\YdOX^]SXN`YX)#





SHIFT



,OS]ZSOV$+_P]MRVKQ`YXK_P! #

!



SHIFT



,OS]ZSOV$+L]MRVKQ`YX!`YX! 

!

!

SHIFT



,OS]ZSOV$+_PNSO=_WWOK_]!_XNS]^

OSX8KMRVK]]SX2ØRO`YXd_LO\OMRXOX#



!





Ans



SHIFT



STO



ALPHA





SHIFT



L ASOSXNOX,OS]ZSOVOXQOdOSQ^WÞ]]OX=SONOXAO\^

SW+X^aY\^]ZOSMRO\ OSXO\@K\SKLVOX d_Y\NXOX _XN

NKXKMRNSO@K\SKLVOSXNO\+_P]MRVKQ]+L]MRVKQ]

\OMRX_XQ`O\aOXNOX_WNOXQOQOXaÆ\^SQOXAO\^

SW+X^aY\^]ZOSMRO\SXOSXO\+_P]MRVKQ]YNO\+L

]MRVKQ]\OMRX_XQ d_ `O\aOXNOX .SO] S]^ NK\K_P

d_\ÞMUd_PÞR\OX NK]] NSO N_\MR NK] .\ÞMUOX NO\

>K]^O

 K_]QOPÞR\^O <OMRX_XQ NK] /\QOLXS] SX

NOW+X^aY\^]ZOSMRO\KL]ZOSMRO\^LO`Y\NSO>K]^O

QON\ÞMU^aS\N

,OS]ZSOV $ASO RYMRS]^NSOZ\YdOX^_KVO D_XKRWO

aOXXd_OSXO\7OXQO`YXWVWVRSXd_QO

PÞQ^aO\NOX)        





SHIFT



#

,OS]ZSOV!$/SXAO\^`YXaS\NK_PO\RØR^aSORYMR

S]^NSOZ\YdOX^_KVO¦XNO\_XQ)ASORYMRPÆVV^NSO]O@O\ÆX

NO\_XQLOSOSXO\/\RØR_XQK_P K_])"





SHIFT



      

<OMRX_XQOXWS^1\KN7SX_^OX_XN=O

U_XNOX

L =SO UØXXOX =ObKQO]SWKV\OMRX_XQOX WS^ 1\KN

=^_XNOX7SX_^OX_XN=OU_XNOXK_]PÞR\OX_XN

?WaKXNV_XQOX daS]MROX =ObKQO]SWKVaO\^OX

_XN.OdSWKVaO\^OX`Y\XORWOX

,OS]ZSOV$.O\.OdSWKVaO\^S]^SXOSXOX=O

bKQO]SWKVaO\^_XNNKXKMRaSONO\_Wd_\ÞMUSXOSXOX

.OdSWKVaO\^_Wd_aKXNOVX



SHIFT





!



,OS]ZSOV$.SOPYVQOXNO<OMRX_XQS]^K_]d_PÞR\OX$

!vxb

#



!







03B=-3<8.

L ?W NSO /SX]^OVV_XQOX NO\ KU^_OVVOX +XdKRV KX

.OdSWKV]^OVVOX NO\ +XdKRV NO\ RØMR]^aO\^SQOX

=^OVVOXYNO\NO]/bZYXOX^SKV+XdOSQOPY\WK^]d_

ÆXNO\X N\ÞMUOX =SO aSONO\RYV^ NSO

MODE

>K]^O

LS]NSO_X^OXNK\QO]^OVV^O/SX]^OVVKXdOSQOO\RKV

^OXaS\N

0Sb=MS8Y\W



 .\ÞMUOX=SONSODSPPO\X^K]^O



YNO\

aOV

MRONOWd_ÆXNO\XNOX/SX]^OVVZY]^OXOX^]Z\SMR^

0Sb$  +XdKRVNO\.OdSWKV]^OVVOX

=MS$  +XdKRVNO\RØMR]^aO\^SQOX=^OVVOX

8Y\W$ /bZYXOX^SKV+XdOSQOPY\WK^



,OS]ZSOV$Ù!b'

=ZOdSPSdSO\^N\OS

.OdSWKV]^OVVOX

.SOSX^O\XO<OMR

X_XQ aS\N WS^ 

=^OVVOXPY\^QO]O^d^









MODE



0Sb



!





03B

"!



L 8_^dOX=SONSOPYVQOXNO>K]^OXLO^Æ^SQ_XQ_WNSO

QVOSMRO<OMRX_XQ_X^O\@O\aOXN_XQNO\]ZOdS

PSdSO\^OX+XdKRVNO\.OdSWKV]^OVVOXK_]d_PÞR\OX

"!

####"

"!



!

SHIFT



Rnd



3X^O\XO<_XN_XQ

L .\ÞMUOX=SONSO>K]^OX

MODE



8Y\W



_WNSO0Sb=ZOdSPSUK^SYXd_VØ]MROX

,OS]ZSOV $  Ù  aYLOS NK] /\QOLXS] WS^ daOS

RØMR]^aO\^SQOX=^OVVOX=MSKXQOdOSQ^aO\NOX]YVV





=-3

MODE



=MS







L .\ÞMUOX=SONSO>K]^OX

MODE



8Y\W



_WNSO=MS=ZOdSPSUK^SYXd_VØ]MROX

=ZOSMRO\\OMRX_XQOX &203

L AOXX =SO <OMRX_XQOX _X^O\ @O\aOXN_XQ

NO] =ZOSMRO\] K_]PÞR\OX WØMR^OX \_POX =SO

NOX -97:7YN_] WS^ NO\

MODE

  >K]^O K_P

-97:

MODE



+X^aY\^]ZOSMRO\

 .\ÞMUOX=SONSO

>K]^OXKMRNO\/SXQKLOOSXO]

AO\^O]YNO\+_]N\_MU]_WNK]LO\OMRXO^O/\

QOLXS]K_^YWK^S]MRSW+X^aY\^]ZOSMRO\d_]ZOS



MRO\X]YNK]]NO]]OX3XRKV^KU^_KVS]SO\^aS\N

 .O\3XRKV^NO]+X^aY\^]ZOSMRO\]aS\NNK\ÞLO\RS

XK_] K_MR KU^_KVS]SO\^ aOXX =SO NSO>K]^OX

SHIFT





M+



SHIFT



M-

YNO\

SHIFT



QOPYVQ^`YXOSXOW

,_MR]^KLOX+LS]0YNO\7BYNO\CN\ÞMUOX

 .\ÞMUOX =SO d_W +L\_POX NO] 3XRKV^] NO] +X^

aY\^]ZOSMRO\]NSO

Ans

>K]^O

 .O\+X^aY\^]ZOSMRO\UKXX=^OVVOXPÞ\NSO7KX

^S]]O_XNdaOS=^OVVOXPÞ\NOX/bZYXOX^OXKL]ZOS

MRO\X

 .O\ 3XRKV^ NO] +X^aY\^]ZOSMRO\] aS\N XSMR^ KU

^_KVS]SO\^aOXXNSON_\MRNSOYLSQOX>K]^OXYZO

\K^SYXOXK_]QOPÞR\^OX@Y\QÆXQOd_OSXOW0ORVO\

PÞR\OX

0Y\^VK_POXNO,O\OMRX_XQOX

 .K]QOQOXaÆ\^SQKW.S]ZVKcKXQOdOSQ^O_XNK_MR

SW +X^aY\^]ZOSMRO\ QO]ZOSMRO\^O <OMROXO\QOL

XS]UKXXKV]O\]^O\AO\^PÞ\NSOXÆMR]^O<OMRX_XQ

`O\aOXNO^ aO\NOX ,OKMR^OX =SO TONYMR NK]]

N_\MRNK].\ÞMUOXOSXO\9ZO\K^SYX]^K]^OaÆR\OXN

OSX/\QOLXS]KXQOdOSQ^aS\NNO\KXQOdOSQ^OAO\^

K_P+X]ÆXNO\^_WNKWS^KXd_dOSQOXNK]]O]]SMR

NKLOS _W NOX QOQOXaÆ\^SQ SW +X^aY\^]ZOSMRO\

KLQO]ZOSMRO\^OXAO\^RKXNOV^

 .K]/\QOLXS]OSXO\<OMRX_XQUKXXK_MRSXOSXO\

NK\K_PPYVQOXNOX0_XU^SYXNO]>cZ]+b



b



b

z

b

.<1f]YaSOWS^zHb



¹ÙX:\_XN

X-\`O\aOXNO^aO\NOX





SHIFT



STO



 



ALPHA







?XKLRÆXQSQO\=ZOSMRO\

 AO\^OUØXXOXNS\OU^SXNOX=ZOSMRO\OSXQOQOLOX

d_W=ZOSMRO\KNNSO\^YNO\`YW=ZOSMRO\]_L^\K

RSO\^aO\NOX

 .O\ _XKLRÆXQSQO =ZOSMRO\ S]^ LO]YXNO\] PÞ\ NSO

,O\OMRX_XQ`YXU_W_VK^S`OX=_WWOXXÞ^dVSMR

 .O\_XKLRÆXQSQO=ZOSMRO\`O\aOXNO^NOXQVOSMROX

=ZOSMRO\LO\OSMRaSONSO@K\SKLVO7

 ?W NOX _XKLRÆXQSQOX =ZOSMRO\ 7 d_ VØ]MROX

NSO/SXQKLO



SHIFT



STO



7K_]PÞR\OX

,OS]ZSOV$

!'

 b'"

#'"

=_WWO



!

SHIFT



STO



 



SHIFT



M-



 #







RCL



@K\SKLVOX

 0Þ\NK]=ZOSMRO\X`YX.K^OX5YX]^KX^OX/\QOL

XS]]OX_XNKXNO\OXAO\^OXUØXXOX#`Y\RKXNOXO

@K\SKLVOX+LS]07B_XNC`O\aOXNO^aO\NOX

 .\ÞMUOX =SO NSO PYVQOXNOX>K]^OX _W NSO OSXO\

LO]^SWW^OX@K\SKLVOXd_QOY\NXO^OX.K^OXd_VØ

]MROX$



SHIFT



STO



2SO\N_\MRaO\NOXNSONO\

@K\SKLVOX+d_QOY\NXO^OX.K^OXQOVØ]MR^

 ?WNSOKVVOX@K\SKLVOXd_QOY\NXO^OXAO\^Od_

VØ]MROXPÞR\OX=SONSOPYVQOXNO>K]^OXLO^Æ^SQ_XQ

K_]$

SHIFT



CLR



7MV



,OS]ZSOV$

Ù '#

Ù'



<OMRX_XQOXWS^ aS]]OX]MRKP^VSMROX

0_XU^SYXOX

&203

L ?W aS]]OX]MRKP^VSMRO 0_XU^SYX]\OMRX_

QOX K_]d_PÞR\OX N\ÞMUOX =SO NSO

MODE

>K]

^O _W NOX -97:7YN_] K_d_P\_POX

-97:

MODE





L ,O]^SWW^O<OMRX_XQ]K\^OXLOXØ^SQOXVKXQODOS^

PÞ\SR\O+_]PÞR\_XQ

L ,OQSXXOX =SO O\]^ WS^ NO\ XÆMR]^OX <OMRX_XQ

aOXX NK] /\QOLXS] NO\ KU^_OVVOX <OMRX_XQ SW

.S]ZVKcO\]MROSX^

L

'# #

.OQ<KN1\K



,OS]ZSOV$MY]









'

<KN



'



<KN



>\SQYXYWO^\S]MRO0_XU^SYXOX

3X`O\]^\SQYXYWO^\S]MRO0_XU^SYXOX

+\M_]P_XU^SYXOX

L ¦XNO\X =SO NK] `Y\QOQOLOXO ASXUOVK\Q_WOX^

+V^Q\KN ,YQOXWKÁ 8O_Q\KN N_\MR aSONO\

RYV^O].\ÞMUOXNO\

MODE

>K]^OLS]=SONSO_X^OX

NK\QO]^OVV^O/SX]^OVVKXdOSQOPÞ\NK]ASXUOVK\Q_

WOX^O\RKV^OX

.\ÞMUOX=SONSO DSPPO\X^K]^O



YNO\

 NSO

NOWQOaÞX]MR^OXASXUOVK\Q_WOX^OX^]Z\SMR^

#'



,YQOXWKÁ'8O_Q\KN

,OS]ZSOV$]SX!"'# #" 

,OS]ZSOV$MY]

b

\KN

MODE



.OQ

sin

!



"





MODE



<KN

cos



(





SHIFT

 

)





MODE



<KN

SHIFT



cos

-1



(

 



)



Ans



SHIFT

 





,OS]ZSOV$^KX



'!

2cZO\LOVP_XU^SYXOX  3X`O\]RcZO\LYVS

]MRO0_XU^SYXOX+\OKP_XU^SYXOX

,OS]ZSOV$]SXR' "

MODE



.OQ

SHIFT



tan





hyp



sin



hyp



SHIFT



sin



,OS]ZSOV$]SXR



'###

,\SQQ]]MRO\ _XN XK^Þ\VSMRO\ 6YQK\S^R

W_]+X^SVYQK\S^RW_]

,OS]ZSOV$ VYQ'#!#" 

,OS]ZSOV$ 3X 'VYQ

 '!"!!

   VX



'

,OS]ZSOV$



' !!# 

,OS]ZSOV$ 



' 

,OS]ZSOV$ 



'#"#

,OS]ZSOV $ 



' 

L 8OQK^S`OAO\^OSX<OMRX_XQOXWÞ]]OXSX5VKW

WO\X OSXQO]MRVY]]OX aO\NOX 0Þ\ /SXdOVROS^OX

]SOROw@Y\\KXQ]PYVQONO\9ZO\K^SYXOXx

;_KN\K^a_\dOVX5_LSUa_\dOVXA_\dOVX

;_KN\K^O 5_L_] 5OR\aO\^O 0KU^Y\SOV

VOD_PKVV]dKRVOX

_XN:O\W_^K^SYXOX

5YWLSXK^SYXOX



log





 



ALPHA

 

SHIFT





SHIFT





 

(–)



(



(–)



)

 

,OS]ZSOV$

#





¹

'!  "!

,OS]ZSOV$ 

#

' 



,OS]ZSOV$

'!! 



 



#

 

  



SHIFT



#



SHIFT









SHIFT









.<1



.\ÞMUOX =SO NSO>K]^O   YNO\  _W NOX KXQO

dOSQ^OXAO\^SXNK]OX^]Z\OMROXNOASXUOVK\Q_WOX^

_Wd_aKXNOVX

,OS]ZSOV$SW,YQOXWKÁS]^SX+V^Q\KN_Wd_aKX

NOVX

MODE



.OQ



SHIFT



DRG



<



,OS]ZSOV$ !!



'

,OS]ZSOV$ 



' #

,OS]ZSOV $ 













'

!

!



 



,OS]ZSOV!$ #' ""

,OS]ZSOV"$ D_PKVV]dKRV daS]MROX  _XN ###

O\dO_QOX$

,OS]ZSOV#$ 

'!!# !

,OS]ZSOV$D_LO\OMRXOXS]^aSO`SOVO_X^O\]MRSON

VSMRO]^OVVSQODKRVOXPYVQOXWS^NOXDSPPO\XLS]#

O\dO_Q^aO\NOXUØXXOX.SODSPPO\XNÞ\POXSXXO\RKVL

OSXO] ]^OVVSQOX AO\^O] XSMR^ NYZZOV^ `O\aOXNO^

aO\NOXS]^QO]^K^^O^KLO\XSMR^

,OS]ZSOV $ ASO `SOVO _X^O\]MRSONVSMRO>OKW] WS^

TOaOSV]7S^QVSONO\XUØXXOXK_]OSXO\1\_ZZO`YX

:O\]YXOXQOLSVNO^aO\NOX)



(



-1





-1



)



-1



#

SHIFT



SHIFT



Ran#





SHIFT

 

#

SHIFT



nPr





nCr



?WaKXNV_XQNO]ASXUOVK\Q_WOX^]

.\ÞMUOX =SO NSO >K]^OX

SHIFT



DRG

 _W NK] PYVQOXNO

7OXÞd_O\RKV^OX

 !"!





=^K^S]^S]MRO<OMRX_XQOX6'5(*

=^KXNK\NKLaOSMR_XQ 6'

L AOXX=SO]^K^S]^S]MRO<OMRX_XQOXWS^NO\=^KX

NK\NKLaOSMR_XQK_]PÞR\OXWØMR^OXN\ÞMUOX=SO

NSO

MODE

>K]^O _W NOX =.7YN_] K_Pd_\_POX

6'

MODE





5YY\NSXK^OX_WaKXNV_XQ:YVbc<OM

\ 

 .SO <OMROXO\QOLXS]]O aO\NOX K_^YWK^S]MR NOX

@K\SKLVOX/_XN0d_QOY\NXO^

,OS]ZSOV$.SO:YVK\UYY\NSXK^OX\

 ]SXNSX

NSOUK\^O]S]MROX5YY\NSXK^OXbc.OQ_Wd_aKX

NOVX

b'

\'!"" 

.SO>K]^OXPYVQO

RCL



YNO\

RCL



dOSQ^NOXAO\^

PÞ\bLdacKX

,OS]ZSOV$.SOUK\^O]S]MROX5YY\NSXK^OX



]SXN

SXNSO:YVK\UYY\NSXK^OX\ <KN_Wd_aKXNOVX

\'

'!#!

SHIFT



Rec(



 

)



RCL

Pol(



 

)





RCL



.SO>K]^OXPYVQO

RCL



YNO\

RCL



dOSQ^NOXAO\^

PÞ\ULda

KX

,O\OMRX_XQOXWS^^OMRXS]MRO\=MR\OSL

aOS]O

,OS]ZSOV$?WaKXNV_XQ`YX!W

ĺ!¹



W

,OS]ZSOV$?WaKXNV_XQ`YXQ

ĺ¹



Q

!



ENG







ENG



!

,O^Æ^SQOX=SO`Y\,OQSXXNO\.K^OXOSXQKLO]^O^]NSO

>K]^OXPYVQO

SHIFT



CLR



=MV

_WNOX]^K^S]^S

]MROX=ZOSMRO\d_VØ]MROX

1OLOX=SO3R\O.K^OXWS^NO\PYVQOXNOX>K]^OXPYVQO

OSX

&b.K^OXaO\^(



.SO/SXQKLONK^OXaO\NOX`O\aOXNO^_WNSOAO\^O

PÞ\QȈ[[





ıQ_XNıQd_LO\OMRXOXNSO=SO

NKXX_X^O\@O\aOXN_XQNO\PYVQOXNOX>K]^OXLO^Æ^S

Q_XQOXK_P\_POXUØXXOX

,OS]ZSOV$D_LO\OMRXOX]SXNı

QıQ

QȈ[_XN

Ȉ[



PÞ\NSOPYVQOXNOX.K^OX$     #

#!! 

3XNOW=.7YN_]$

SHIFT



CLR



=MV

=^K^MVOK\

L 7S^TONO\,O^Æ^SQ_XQNO\

>K]^OaS\NNSO+X

dKRVNO\LS]d_NSO]OWDOS^Z_XU^OSXQOQOLOXOX

.K^OXKW.S]ZVKcKXQOdOSQ^XAO\^

+_Pd_\_POXNO\AO\^$ >K]^OXPYVQO$

Ȉ[





Ȉ[

Q



ıQ

Q

SHIFT



S-SUM



SHIFT



S-SUM



SHIFT



S-SUM



SHIFT



S-VAR



SHIFT



S-VAR



SHIFT



S-VAR



L 3W =.7YN_] _XN SW </17YN_] K\LOS^O^ NSO

M+

>K]^OKV]

>K]^O





 

 

 



#

 #

!

!

 



"

z =^SMRZ\YLOX=^KXNK\NKLaOSMR_XQıQ'

##!! "

z 1O]KW^ROS^]=^KXNK\NKLaOSMR_XQı

Q'

 #!!

z +\S^RWO^S]MRO\7S^^OVaO\^

'

 +B'

z +XdKRVNO\.K^OXQ'

 +?'

z =_WWONO\AO\^OȈ['

 +?'

z ;_KN\K^]_WWONO\AO\^OȈ[



'

"+?'

@Y\]SMR^]WKÁXKRWOXLOSNO\.K^OXOSXQKLO

 =SOUØXXOXNSOYLSQOX>K]^OXYZO\K^SYXOXSXLOVSO

LSQO\<OSROXPYVQOK_]PÞR\OXNRXSMR^_XLONSXQ^

SXNO\QOdOSQ^OX<OSROXPYVQO

 7S^



 aS\N NO\ QVOSMRO .K^OXaO\^ NYZZOV^

OSXQOQOLOX

 7OR\PKMRO/SXQKLOXNO]QVOSMROXAO\^O]UØXXOX

=SON_\MR.\ÞMUOXNO\>K]^OX

SHIFT



;

K_]PÞR\OX

AYVVOX=SOd,NOXAO\^ dORX7KV OSXQOLOX

N\ÞMUOX=SONSO>K]^OX 

SHIFT



;





 AÆR\OXNYNO\XKMR,OOXNSQ_XQNO\.K^OXOSXQKLO

UØXXOX=SOWS^NOX

 _XN >K]^OX N_\MR

NSOOSXQOQOLOXOX.K^OXLVÆ^^O\X0Þ\7OR\PKMR

OSXQKLOXNO]QVOSMROXAO\^OXWS^YLOXQOXKXX^O\

>K]^OXYZO\K^SYX aO\NOX LOSW ,VÆ^^O\X N_\MR NSO

.K^OX ]OZK\K^O+XdOSQOX PÞ\ NOX.K^OXaO\^ _XN

NSO.K^OXRÆ_PSQUOS^0\O[KXQOdOSQ^

SHIFT



S-SUM



SHIFT



S-SUM



SHIFT



S-SUM



SHIFT



S-VAR



SHIFT



S-VAR



SHIFT



S-VAR



#

/NS^900/=-



 ,OS,ONK\PUØXXOXNSOKXQOdOSQ^OX.K^OXONS^SO\^

aO\NOX1OLOX=SORSO\d_NOXXO_OXAO\^OSX_XN

N\ÞMUOX=SONSO

>K]^O_WNOXKV^OXAO\^d_

O\]O^dOX1VOSMRdOS^SQLONO_^O^NSO]NK]]=SOSW

WO\d_O\]^NSO

>K]^ON\ÞMUOX]YVV^OX_WNSO

.K^OXKXdOSQOd_`O\VK]]OXLO`Y\=SOOSXOKXNO\O

9ZO\K^SYX <OMRX_XQ +_P\_POX NO\ ]^K^S]^S]MROX

<OMROXO\QOLXS]]O_]aK_]PÞR\OX

 .\ÞMUOX=SO]^K^^ NO\

>K]^ONSO

>K]^O

XKMRNOW OSX AO\^ KW .S]ZVKc QOÆXNO\^ a_\NO

aS\N NO\ `YX 3RXOX OSXQOQOLOXOAO\^ KV] XO_O\

.K^OXZY]^OX \OQS]^\SO\^ aYLOSNO\KV^OAO\^_X

`O\ÆXNO\^LOVK]]OXaS\N

 /SXOX_X^O\@O\aOXN_XQNO\

_XN >K]^OX

KXQOdOSQ^OXAO\^ UØXXOX=SO N_\MR.\ÞMUOX NO\

>K]^OX

SHIFT



VØ]MROX._\MRNK]6Ø]MROXOSXO]

.K^OXaO\^O]\ÞMUOXKVVOXKMRPYVQOXNOXAO\^OK_P

 AOXX UOSX =ZOSMRO\ZVK^d PÞ\ NSO =ZOSMRO\_XQ

aOS^O\O\.K^OXd_\@O\PÞQ_XQ]^OR^O\]MROSX^NSO

7OVN_XQw.K^K0_VVx_XN=SOUØXXOXUOSXOaOS^O

\OX.K^OXOSXQOLOX.\ÞMUOX=SOSXNSO]OW0KVVNSO

>K]^O_WNSOPYVQOXNO+XdOSQOd_O\RKV^OX

 .\ÞMUOX=SONSO>K]^O

_WNSO.K^OXOSXQKLO

KLd_L\OMROXYRXONOXQO\KNOOSXQOQOLOXOXAO\^

d_\OQS]^\SO\OX

 .\ÞMUOX=SONSO>K]^O

aOXX=SONOXQO\KNO

OSXQOQOLOXOX AO\^ \OQS]^\SO\OX WØMR^OX YRXO

NSO]OX SW =ZOSMRO\ d_ ]ZOSMRO\X 3X NSO]OW 0KVV

UØXXOX=SONSOOSXQOQOLOXOX.K^OXaONO\KXdOS

QOXXYMRONS^SO\OX



<OQ\O]]SYX]\OMRX_XQOX 5(*

L ?W ]^K^S]^S]MRO <OMRX_XQOX WS^ <O

Q\O]]SYXOX K_]d_PÞR\OX N\ÞMUOX =SO NSO

MODE

>K]^O _W NOX </17YN_] K_Pd_\_PO

6SX6YQ/bZ



:a\3X`;_KN



.\ÞMUOX=SONSODSPPO\X^K]^OYNO\PÞ\NOXd_

`O\aOXNOXNOX<OQ\O]]SYX]^cZ



6SX$ 6SXOK\O<OQ\O]]SYX



6YQ$ 6YQK\S^RWS]MRO<OQ\O]]SYX



/bZ$ /bZYXOX^SOVVO<OQ\O]]SYX



:a\$ :Y^OXd\OQ\O]]SYX



3X`$ 3X`O\]O<OQ\O]]SYX



;_KN$;_KN\K^S]MRO<OQ\O]]SYX

 D_W 6Ø]MROX NO] QO\KNO OSXQOQOLOXOX AO\^O]

N\ÞMUOX=SONSO>K]^OX

SHIFT





 8KMR/SXQKLONO\]^K^S]^S]MROX.K^OXSW=.7Y

N_]YNO\</17YN_]UØXXOX=SONSOSXNS`SN_OVVOX

.K^OXZY]^OX XSMR^ VÆXQO\ KXdOSQOX YNO\ LOK\

LOS^OXXKMRNOWOSXONO\PYVQOXNOX9ZO\K^SYXOX

K_]QOPÞR\^a_\NO

z ¦XNO\_XQK_POSXOXKXNO\OX7YN_]

z ¦XNO\_XQNO]<OQ\O]]SYX]^cZ]6SX6YQ/bZ:a\

3X`;_KN

5(*

MODE



3W =. _XN </17YN_] K\LOS^O^ NSO

M+

>K]^O

KV]

>K]^O

._\MRNK]+_P\_POXNO]</17YN_]O\RKV^OX=SO

OSXOaSOPYVQ^NK\QO]^OVV^O+XdOSQO



+Ld_\_POXNO\AO\^$ >K]^OXYZO\K^SYX$

Ȉ[





Ȉ[

Q

Ȉ\





Ȉ\

Ȉ[\



ıQ

ıQ



ıQ

ıQ

<OQ\O]]SYX]UYOPPSdSOX^+

<OQ\O]]SYX]UYOPPSdSOX^,

SHIFT



S-SUM



SHIFT



S-SUM



SHIFT



S-SUM



SHIFT



S-SUM

 



SHIFT



S-SUM

 

SHIFT



S-SUM

 

SHIFT



S-VAR



SHIFT



S-VAR



SHIFT



S-VAR



SHIFT



S-VAR

 

SHIFT



S-VAR

 

SHIFT



S-VAR

 

SHIFT



S-VAR

  

SHIFT



S-VAR

  



8_\XSMR^[_KN\K^S]MRO<OQ\O]]SYX

5Y\\OVK^SYX]UYOPPSdSOX^U

SHIFT



S-VAR

  



SHIFT



S-VAR

   

SHIFT



S-VAR

   



 6Ø]MROX=SO`Y\,OQSXXNO\.K^OXOSXQKLOSWWO\

NOX ]^K^S]^S]MROX =ZOSMRO\ WS^ NO\ >K]^OXPYVQO



SHIFT



CLR



=MV'

 1OLOX=SONSO.K^OXWS^NO\PYVQOXNOX>K]^OXPYV

QOOSX  

&b.K^OXaO\^(

&c.K^OXaO\^(

 .SO `YX NO\ <OQ\O]]SYX]\OMRX_XQ O\RKV^OXOX

AO\^ORÆXQOX`YXNOXOSXQOQOLOXOXAO\^OXKL

.SO/\QOLXS]]OUØXXOX=SOWS^NOXSXNO\PYVQOX

NOX>KLOVVONK\QO]^OVV^OX>K]^OXPYVQOXKL\_POX



 .SOAO\^OSXNOXYLSQOX>KLOVVOXUØXXOXOLOX]Y

aSO@K\SKLVOXSXXO\RKVL`YX+_]N\ÞMUOX`O\aOX

NO^aO\NOX

6SXOK\O<OQ\O]]SYX

 .SO<OQ\O]]SYX]PY\WOVPÞ\NSOVSXOK\O<OQ\O]]SYX

S]^$ \'+,[

,OS]ZSOV$6_P^N\_MU_XN>OWZO\K^_\

.SO >O\WO _XN NOX 5Y\\OVK

^SYX]UYOPPSdSOX^OX NO\ <O

Q\O]]SYX]PY\WOV PÞ\ NSO XO

LOX]^OROXNOX .K^OX N_\MR

+_]PÞR\_XQ NO\ VSXOK\OX <O

Q\O]]SYXLO]^SWWOX+X]MRVSO

ÁOXN NSO <OQ\O]]SYX]PY\WOV

`O\aOXNOX _W NOX 6_P^N\_MU

LOS z- _XN NSO >OWZO\K^_\

LOSR:Kd_]MRÆ^dOX

>OWZ

6_P^N\_MU



- R:K

- R:K

- R:K

- R:K

- R:K

 D_W+L\_POXNO\/\QOLXS]]OSW0KVVONO\[_KN

\K^S]MROX <OQ\O]]SYX `O\aOXNOX =SO NSO SX NO\

PYVQOXNOX>KLOVVONK\QO]^OVV^OX>K]^OXYZO\K^SYXOX

+_Pd_\_POXNO\AO\^$ >K]^OXYZO\K^SYX$

Ȉ[





Ȉ[



\

Ȉ[





<OQ\O]]SYX]UYOPPSdSOX^-







SHIFT



S-SUM

  

SHIFT



S-SUM

  

SHIFT



S-SUM

  

SHIFT



S-VAR

  

SHIFT



S-VAR

   

SHIFT



S-VAR

   

SHIFT



S-VAR

   



D_W=MRV_]]XYMRNK],O]^SWW^ROS^]WKÁ\_XN

NSO=^SMRZ\YLOX5Y`K\SKXdLO\OMRXOX$



7S^TONOW.\ÞMUOXNO\

>K]^Od_W<OQS]^\SO\OX3R\O\

/SXQKLOaS\NNSO+XdKRVNO\LS]d_NSO]OWDOS^Z_XU^OSX

QOQOLOX.K^OXKW.S]ZVKcKXQOdOSQ^XAO\^

3W</17YN_]$

6SX

SHIFT



CLR



=MV

=^K^-VOK\







<OQ\O]]SYX]UYOPPSdSOX^+'##!

<OQ\O]]SYX]UYOPPSdSOX^,' 



5Y\\OVK^SYX]UYOPPSdSOX^U'#" ! "



6_P^N\_MULOS-'## 



>OWZO\K^_\LOSR:K' "!



,O]^SWW^ROS^]WKÁ'# !

=^SMRZ\YLOX`K\SKXd'



</1





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