Visual input for pen-based computers

(*),+.-0/1-3254

687:9<;>=?@A9<;CBEDAFG6HDI@I;CJK

LNMOQPSR0TU/VPSWYX[Z\W^]_W^W1`+.M5TbadcQTU),+fe3+hgiZ\/1RU+h`j+hM5Tk-claRmTU),+fno+.pR0+.+qaSc

noasrtTkaR*aScOI),/1W^a-UaSu,)54

1 8 9 1

C

A

L

I

F

O

R

N

IA

IN

S

T

I

T U T E

O

F

T

E

C

H

N

O

L

O

G

Y

v

P S W ^ / ^ c l a R 0 M , / V P f L N M , - 0 T U / ^ T U Z \ T k + q a S c Q ( Q + h r w ) , M , a W ^ a p S 4

O P d - k P S x , + h M _ P \ y v P S W ^ / ^ c l a R 0 M , / V P

z S { { {

r

zS{{{

PdRU/1aIM,R0/1gZ,+Z,M,/^rw)

!"#$

GRU/^TU/1M,p PTk)\+.-U/^-bPS-0Z,-0T TU),+ ],M_PSWCy PSW^2:+h/^T W^aM,p PSM,x u_PS/^M\clZ,WCy'-€Tk+.u aSc TU),+ u,RUair.+h-U-aSc

+PdRUM,/^M,p`#4 OI),/^W1a-0au,)54 noasrtTkaRUPdTk+ /^M IW1+hrhTkR0/1r.PSW IM,p/^M,+.+hRU/^M,p L#PS` +hR04 pRUPdTk+tclZ,W TUa

`jPSM54 u:+hau,W^+oTk)_PdT )\+.W1u +.x `+a2\TwPd/1M `#4 x\+.pR0+.+

L /1-0) TUa-€TwPSR€Tf24 TU)_PSM!/1M\p`#4u_PSRU+hM5Tk-" (*),+h4 p5P S+ `+Tk),+ clRU+h+.x,a` TUa+hM s/^-U/^aM

M,+# ),aR0/%$haM,- PSM\x TU),+ +.M,rhaZ,RUPSp+.`+.M5T TUa u\Z,RU-0Z,+ `#4 x,R0+PS`- + S+.M /^c3/^T`j+.PSM5TTka 2 +

-U+hu_PSRUPdTk+hxPSM,xc PdR P&bP 4 clR0a` +PSrw)adTk),+hR"' /^TU),aZ\T3Tk),+h/1R /1M\/^Tk/1PSWY`a`+.M5TkZ,` PdM,xTU),+./^R

r.aSMTU/1MZ,aZ\-A-UZ,u\u:aR€Ty/ T( aZ,W^x)_P +*2 +.+hM /1`u:aS-U-U/^2,W1+IclaRE`+ Tka p+hT( ),+.R0+*L -0TwPdM,x)AL)bPSM5T

Tka`+.M5Tk/^aMPdW1-Ua`#4 2,R0aSTk)\+.RU-+*-,/.0, PSM,x1324.%5oTk),PdT6 +.R0+PSW7mP4i- Tk),+hRU+ claSR3`+ W^TU),aZ,pS)

+6 +.RU+ c PSR PSu_PSR€TyTk),+t4 PdW8bP 4i- 2:+hW1/1+ +hx /1M`+ PSM\xjTk)\+h4b+hRU+PdW8bP 4i- RU+Pdx\4 Tkaf),+.W^u `+

/1M PSM549bP4 u:aS-U-U/^2,W1+:

L; aZ,W^x W1/%!d+ TUa-0),a<` 4 x,+h+.u +.-0T3pRUPdTk/TkZ,x\+ Tka `#4jx,+.PSR= /^cl+*-,/.0,/

}

)\+f),PS-*2:+h+.M `#4

`a-0T /1`u:aSR0TwPdMTf-0Z,u,u aR0TPdT v PdW^Tk+hrw)YyA`#4 pSZ,/1x,/^M,p -0TwPdR /^MGTk)\+ x_PSR>! M,/1p)5TU-.ypS/i/1M,p `+

Tk)\+-0TURU+.M\pSTk)Tka?!d+.+hu pSa/1M,pA@Y-U),+ ),PS- ]_W^W1+.xPSW1WTk),+h-U+4S+PSR0-B /Tk)clZ\MYyYW1a S+ PSM,xC0a 4y PdM,x

-U)\+ )_PS- p/+.M `j+*Tk)\+ `a-0T /1`u aR0TkPSM5T'p/^cT aMj+PSR€Tk)YyTk),+3W1/^p)5T aScY`#4+t4+.-hy\`#4 x,PSZ,p)5Tk+hR

/^RU+.M,P

/1M_PdRkPA

L u,PSR0TU/1r.Z\WVPSR0W^4 /1-0) TkaTk),PSM! ` 4 PSx i/^-UaR OI/^+hTkR0a OQ+hRUaM_PD L TEbPS- W1aM\p PSpaTU)_PdT L

bPSW%!d+.x /1M5Tka )\/1-maFrh+W1aiaG!/1M,pfclaR*Pu,/^+.r.+adcPdx i/1r.+oPSM,x +.M,x\+.x Z,u r.aM i/1M\r./1M\p ),/1` Tk)_P<T

LH aZ,W^x2 +P pasaix PSx,x,/Tk/1aSM TUaG)\/1-RU+.-0+PSR0rw) pRUaSZ,uYybM\aSTjTUa `+.M5Tk/^aM Tka ),/1-r.Z,W^/1M_PdR04

x,+hW1/1pS)TU-"JI3+ /^M5TkRUaix,Z,rh+.xj`j+*TkafTk),+3 aM,x,+hRU-maSc

v

a`u,Z\Tk+hR;K /1-0/1aMPSM,xTkafTk),+3+.ML0a 4i`+.M5T

aSc-0r./1+hM5Tk/^],r RU+h-U+.PSRUrw))-I /^- rhaM5Tk/^MiZ\aZ,-m-0Z,u,u aR0T.y\),/^-mPSx i/^r.+PSM\x ),/1- pZ,/^x_PSM,rh+ )_P + ` PSx\+

PSM /^`ju aR€TwPSM5T x,/8M:+.R0+.M,rh+o/1M `#4baR>!NIL R0+PSW^W^4 +hML0a 4+.x 2 +./^M,pu_PdR0Tmadc ),/1- RU+h-U+PdRUrw) pRUaSZ,u

PS-' +.W1WPd-*/1M5Tk+hRkPSrtTk/1M\p /Tk) ),/^` PdT 2 aSTk) Tk)\+fu\RUaScl+h-U-U/^aM_PSWYPSM,x Tk),+qu +.RU-0aM_PSW W^+ S+.WO

L- aZ,W^xW^/%!S+oTUa `j+hMTU/1aM `#4 pRU+.PdT clRU/^+.M,x,- PdM,xW1PS2DP ` PdTU+.- ~S+.PSMDPRQ +h- S aZ,pZ,+tTyNT

Z,/^-U aM,rPdW+h- PSM,x IM,RU/^r.a no/'S +.RUM,PSRUx,aA (*),+t4 ` Pdx,+ clZ,M PSM,x +hML0a 45PS2,W^+ ` PdM4

PSM,x#-UZ,u,u aR€T&L /1-U) Tka TU)_PSM!fOIRUadcl+.-U-0aR

}

W^a2 asx_PdM v Z!claRE)_P i/1M,p 2:+hW1/^+ +hx#Tk),PdTL) aZ,W^x

2 + P pSasaix

v

PSW^TU+.rw) -0TUZ,x,+.M5T" L6bPSM5TfTUa `j+hM5Tk/1aSMGOIR0aScl+.-0-UaR0- eB n /1x,x,W^+.2,R0asa! yYO(O(

K PS/^x\45PSM,PdTk)_PdMYy v +PSxYyiPSM\xQE 2,ZDP a-0TkPdc PclaR')_P s/^M,pqTwPSZ,pS)T `+ ),/1-'u,),/^W1a-0au,)54irPSW

i/1+#HaScQ+.W^+.rhTURU/^rPSWY+hM,p/^M,+.+hRU/1M\pRUPdTk)\+.RmTk),PSMP -0/1`u,W1+orhZ,RUR0/1rhZ,WVPSR*rhaM5Tk+hMT"

X/1M,PSW1W4y L /^-U)GTUaTU)_PSM! PSW^WATk),+u +.au,W^+TU)_PdTB /1W^W1/^M,pW^4u_PSR€Tk/^r./1u,PdTk+hx /^MG` 4 +#Xsu:+hRU/P

Y

(*),+3x,+ S+.W^au,`+.M5Tbadc!rha`ju\Z\Tk+hR'TU+.rw),M\aW1apd4 )_PS-')_PSxjPqu_PSRkPdW1W1+hW\+ aW^Z\Tk/^aM aSc!TU),+ /1M5Tk+hR0cPSrh+

2 +hT +.+.M )Z,`jPSM,- PdM,x `jPSrw),/1M\+.-.yp/i/1M\pR0/1-U+Tka/^M5Tk+.R€c PSr.+j-04i-0TU+.`- /1M,-0u,/1R0+.xG24G)Z,`jPSM

r.aS`j`Z\M,/1r.PdTk/^aM) Ko/^-U/1aSM)_PS- 2:+h+.M x,+h`jaM\-0TkRUPdTk+hxTka 2:+TU),+-0+.M,-0+ aScrw),a/^r.+claSRjcPSrh+

RU+hr.apSM,/^TU/1aMYy p+h-0TUZ,RU+ RU+hr.apSM,/^TU/1aMYy W^/1u RU+.PSx,/^M,p,y3+hTkr: (*),/^- TU),+.-0/1- u,R0+.-0+.M5Tk- Tk),+ x,+h-U/^pM

PSM,x/1`u,W1+h`j+hM5TwPdTU/1aM aSc'PrPS`+.RUPLPN2,PS-U+hxYy:)Z,`jPSMDP r.a`u,Z\TU+.R /1M5TU+.R0cPdr.+ claSR PSrhgZ,/1-0/^Tk/^aM aSc

)_PSM\xA RU/Tk/1M\p(*),+ rPS`+.RUPqclair.Z\-U+.-baMjTU),+ -0),+.+tTmaScYu_PSu +.R PSM,x /^` Pdp+.-ITk)\+ )_PdM,xC R0/^Tk/^M,p@

r.aS`ju,ZsTk+.RQPSM_PdW^4i-U/^-Eadc\Tk)\+ R0+.-UZ\W^Tk/^M,p3-U+.gZ,+hM,r.+baSc,/^` PSpS+.-+.M_Pd2,W1+h-ETU),+ TURkP 0+hrhTUaR04qaScsTk),+ u:+hM

Tkaq2 +*TkRkPdr !S+.x PSM,x Tk),+*Tk/^`j+h- ),+.MTk),+ u +.M/1-'/1M rhaM5TwPSrtT; /Tk) Tk),+ u_Pdu:+hR'TUaq2:+ x,+tTk+.rtTk+hx)

(*),+RU+hr.a +hRU+.x TURkP 0+hrhTUaR04/^-q-U),a< MGTUa),P S+ -0ZAFr./1+hM5T#-0u_PdTk/^a:P TU+.`u:aSRkPSWQRU+.-0aW1ZsTk/1aSMGPdM,x

PSrhr.Z,RUPSrh4 TUa+hM_PS2,W^+)_PSM,xD RU/^T0Tk+hMrw)_PdRkPSrtTk+.R3RU+hr.apSM,/^TU/1aM)

}

/1pSM_PdTkZ\RU+.-r.PSM 2 + PSr.gZ,/^RU+hxW /Tk)qTk),+'rPd`j+hRkPLP 2_PS-U+hx /^M5Tk+.R€c PSr.+ /Tk)f+.M,aSZ,p)fRU+.-0aW1ZsTk/1aSM

Tka u +.R€claRU` S+.R0/^]_r.PdTk/^aM)'(*),/1-*TU),+.-0/1- x,+.-0r.R0/12 +.- Tk),+fu:+hR0claR0` PdM,r.+aScP s/^-UZ_PdW7P Pdr.gZ,/1-0/^TU/1aM

-U/^pM_PdTUZ,RU+ S+.RU/ ]_rP<Tk/1aSM -€4s-€Tk+h`ym+h`ju\)_PS-U/8$./^M,pTk),+ /1`u:aSR0TwPdM,r.+ aSc3Tk)\+u_PdRkPS`+hTU+.RU/8$PdTU/1aM

aSc'Tk)\+ -U/1pSM_PdTkZ\RU+Tka Pdrw),/1+ s/^M,p paiasxrhWVPS-0-U/]_rPdTU/1aMRU+.-0Z,W^TU-" (*),+ p+.M,+hRkPSW^/%$.PdTk/^aM+hRURUaSRoaSc

Tk)\+ +.R0/^]_r.PdTk/^aM PSW^paRU/Tk),` /^- +.-€Tk/1`jPdTU+.x Z,-0/1M,p PTU+.rw),M,/^gZ,+ Tk)_PdTa S+.R0r.a`+.- Tk)\+ -U`jPSW1W

MZ,`2 +.R aScQ+#X\PS`u,W1+-0/1pM,PdTkZ,R0+.-3PSM,x claR0p+.R0/1+.-*u\RUa i/1x,+hx254 TU),+q-UZ,240+hrhTU-"

(*),+u,R0a2,W1+h` adcq+.-0TkPS2,W^/1-U)\/1M,pGr.aR0RU+.-0u:aSM,x,+.M\r.+ PSM,x `+PS-0Z,RU/^M,p TU),+-U/^`j/^WVPSR0/^TN4 aScfP

u_PS/^R#aSc3u,W1PSM_PSR#r.Z,R+.-hy /^M aZ,Rr.PS-U+ Pu_Pd/1R#adc -0/1pM,PdTkZ,R0+.-hy PdRU/1-0+.-/^M ` PdM4

PSu,u\W1/1r.PdTk/^aM,-/1M rha`ju\Z\Tk+hR s/^-U/^aM PSM,x u_PdT0Tk+.R0MGR0+.rhapM,/Tk/1aSM)(*),/^-oTk),+h-U/1-qu,R0+.-0+.M5Tk-#P M\+V `+hTU),asxclaSR

r.aS`ju_PdRU/1M\p u\WVPSM_PdRrhZ,R S+.- PdM,x claRu +.R0claSRU`/1M,p `jPdTkrw),/^M,p PdTj-UZ,2DP -kPS`u,W^/1M,p RU+h-UaW^Z\Tk/^aM)

(*),+#PSM_PSW4s-0/1-3aScATU),+PSW^paR0/^Tk)\` PS-3b+hW1WQPS- /Tk- -0TURUZ,rtTkZ,RUPSWu\RUau +.R€Tk/1+h- PdRU+fx,+.-0r.RU/^2:+hx)3(*),+

u +.R0claSRU`jPSM,r.+'aSciTk)\+ M,+# Tk+hrw),M,/^giZ\+b/1- + dPSW1Z_P<Tk+.xqclaR Tk)\+ u\RUa2,W^+.`Hadc,-U/^pM_PdTUZ,RU+ S+.RU/]_rP<Tk/1aSM

z  (*),+ ]_RU-€T T arhaW1Z,`M,-q-U)\a Tk),+ ]_RU-€TPdM,xGW1PS-0TqclRUPS`j+h-qaScbT ax,/7M!+hRU+hMT

-U+hgiZ\+.M,rh+.-" (*),+ Tk),/^RUx r.aW^Z,`M x\/1-Uu\WVP4i- TU),+ )_PSM,xA R0/^T0Tk+.M TkRUP

0+.rtTkaR0/1+.-a2\TkPS/1M,+hx s/1Pf`jPSMZ_PSW,TURkPSr !/^M,p adc!Tk)\+3u +.MTk/^u)(*),+ claZ,R€Tk)r.aW^Z,`Mj-0),a<

-aM,W4 Tk),+-€TkR0aG!S+h- Tk)_P<ToW1+tcToPdM/1M! TURkPSrh+#aMTU),+#u,PSu:+hR" +aS2,-U+hR + Tk)_PdT

PdcTk+hR x,/1-0rPSR0x,/1M,p TU),+ -€TkR0aG!S+h- Tk),PdT3r.aR0RU+.-0u:aSM,x,- TUaj`a +h`j+hMTU-oPS2 a +qTk),+

u_PSu +.R

|

M,a u +.M rhaM5TwPSrtT= /^TU) Tk),+ u_PSu +.R

‚

ysTU),+o)_PSM\xA RU/TUTk+hM -U+hgZ,+.M,rh+.- PSRU+

r.W^+PSR0W^4jW1+.pS/12,W^+

W1WYrhasaR0x,/1M,PdTk+h- PSRU+`+PS-0Z,RU+hx/^M u,/7Xs+.W^-"(WBWWW

z

z

|

P

‚

SbW1air ! no/VPSpSRkPS` aScTU),+-€4s-€Tk+h` (*),+r.PS`+.RkP cl+.+.x\- P -U+hgZ,+.M,rh+Gadc

/1`jPSp+h- TUaTk),+ou\RU+.u\RUair.+.-0-U/^M,p -0TwPdp+I(*),/^-m2,W^asr !/1M,/Tk/1PSW1/8$.+.-ATU),+PSW^paR0/^Tk)\`

PSM,x-0+.W1+hrhTU-qTU),+#TU+.`u,WVPdTU+#Tka u +.R€claRU` Tk)\+TkRkPdr !i/^M,p aSc'Tk)\+u:+hMTk/1u f(*)\+

Tk/^u TURkPSr !d+.Rja2\TwPd/1M,- Tk)\+ u a-0/^Tk/^aM aSc TU),+ u:+hM TU/1u /1M +PSrw) /1`jPSp+ aSc Tk),+

-U+hgiZ\+.M,rh+ (*),+ ]_WTk+.R u,R0+.x,/^rhTk- Tk),+ u:aS-U/^TU/1aMaSc TU),+ u +.M TU/1uj/1M M\+#XiT*/1`jPSp+:

(*),+*2_PSW^W1u a/1M5Tx,+hTU+.rhTUaRA]_M,x\-'TU),+*u a-U/Tk/1aSMaSc Tk),+ S+.R04+.M,xaSc[Tk),+ u +.M Tk/^uYy

/O+yTk),+*u\WVPSrh+= ),+.R0+3TU),+*u:+hMj/^-A/1M rhaM5TwPSrtT; /Tk)TU),+ u_PSu +.R ),+hMjTk)\+*Z,-U+hR

/1-J RU/Tk/^M,pAXQ/1M_PSW^W^4SySTk),+ WVPS-€Tb2\W1air ! aScYaZ\Rb-04i-€Tk+.` rw),+hr !i-mclaSR'TU),+ u\RU+.-0+.M,rh+

aScq/1MA! aM TU),+u_Pdu:+hR PdT TU),+u a-U/Tk/1aSM,-C ),+hRU+TU),+u +.M - 2_PSW^W1u

a/1M5TmPd-claZ,M,x

|

2 ‚ Xsu +.RU/^`j+hM5TwPSW -U+tTkZ,u) (*),+ /^` Pdp+jr.PSu\TUZ,RU+hx 254GTk),+ r.PS`+.RkP

/1-o-0),a< M aMTk),+ -0r.RU+h+.M aSc'Tk),+ rha`u,Z\Tk+hR Tka u\RUa i/1x,+ i/1-0Z_PSWEcl+.+.x\2_PSr !Tka

Tk),+ Z\-U+.RV(*),+ -04i-€Tk+.` x\as+h-M,aSTqRU+hgZ,/1R0+ PSM54rPSW^/12,RUPdTk/^aM)(*),+

Z,-0+.Rq)_PS-Tk),+_+#Xs/^2,/1W^/^TN4adcPSRURUPSM,p/^M,pqTk),+ RU+.W1PdTk/ +3u:aS-U/^TU/1aM\- adcYTk),+ rPS`+.RUP#PSM\x Tk),+

u,/1+hr.+ aSc'u_PSu +.R /1MaR0x,+.R3TkaY R0/^TU+#r.aS`claR€TwPS2\W^4 PS-6b+hW1WQPS- TUa u,RUa i/1x\+#Tk),+

-04i-0TU+.` /Tk) PrhW1+.PSR*-U/^p)5T aScQTU),+qu:+hM TU/1u) WWWWWWBWWW

z

|

P

‚

LN`jPSp+ aSc:Tk),+3u:+hMjTU/1u x,/1-0u,WVP4i/1M\pfTU),+ dPSR0/1aZ\-I+.W1+h`j+hM5Tk- Z,-U+hx Tkafx,+hTU+.rtT

Tk),+ 2_PdW1W1u a/^MT" (*),+ r.R0a-U- */1M Tk),+ rh+.M5Tk+hRaScfTk)\+G/^` PSpS+-U)\a - Tk),+

r.+hMTURUa/^xaScATU),+u +.MTU/1ua2\TwPd/1M,+hx /^TU)r.aSRURU+hWVPdTU/1aM 3(*)\+u:aS/1M5Tk- ` PSR>!S+hx

/^TU) P -0TwPdR !-U),a< TU),+ u,W1PSr.+h- ),+.R0+ Tk),+ u +.M 2:aSZ,M,x_PSR0/1+h- b+hRU+ claZ,M\x

Z,-U/^M,p +.x,p+ x,+tTk+.rtTk/^aM) (*),+W1/^M,+.- aM Tk),+ -U/^x,+.-aSc Tk),+ u:+hM TU/1u PSRU+ Tk),+

2:aSZ,M,x_PSR€4 +hx,p+h- PSM,x Tk),+ W1/1M\+ /1MGTk),+ `/1x,x\W1+/1-#TU),+ u +.M Tk/^u PLXs/1-V (*)\+

aSTk)\+.R T arhRUa-0-U+.- X s-0),a< Tk),+ +.-0TU/1`jPdTk+hx u a-U/Tk/^aM,- aScYTk)\+ 2_PSW^W1u a/1M5T PSM\x

aSc'Tk),+ ]_M\p+.RV

|

2 ‚ LN`jPSp+ u\RUaS]_W^+ PSW1aSM,p Tk)\+jP X\/^-aSc'Tk),+ u +.MTk/^u PSM,xTk),+

r.aR0RU+h-Uu aM,x,/^M,pu:aS-U/^TU/1aM\-AaSc[Tk),+*2,PSW1W^u:a/^M5TAPSM\xadc TU),+m]_M,pS+.R"

|

r

‚

e +.-0Z,W^T'adc

r.aR0RU+hWVPdTU/1M,pTU),+ /^` Pdp+ou,R0aS]_W1++ /Tk)Px,+hRU/SP<Tk/S+aScIP

U

PSZ,-U-0/VPSM clZ,M,rtTk/^aM)

|

x

‚

SbW^a<=PNZ,u aSc#TU),+GR0+.p/^aM 2:+tT b+h+.MTU),+Gx\aSTUTU+.x S+.R€Tk/1r.PSWqW1/^M,+.- /1M

|

r

‚

OPSRUPS2 aW1/^r ],TfaSc Tk),+ u +P!/1x,+hM5Tk/^],+.-Tk),+ u a-U/Tk/^aMaSc Tk),+ 2_PdW1W1u a/^MT" (*)\+

+hR0Tk+ X aScTU),+ou_PSRUPS2 aWVPf/1-mu,W^aSTUTU+.xY /Tk) PrhRUa-0- X \PSM,x /^Tbr.aR0RU+h-Uu aM,x,-*Tka

Tk),+q+h-0Tk/^` P<Tk+.x -0Z,2DPNu\/7Xs+.W u a-U/Tk/^aM aScETk),+q2_PSW^W1u a/1M5T"WWWBWWW z )

z

D? SbW1air !qx,/VPdpRkPS` adc_Tk),+mu +.M Z\u5Fdx,a< M r.W1PS-U-0/^]_r.PdTk/^aM#-0Z,2,-04i-€Tk+.` G+mx,+hTU+.rtT

),+.M TU),+ u +.M /^- Z\u aRbx,a< M Z\-U/1M\p P#2 aSTUTUa`P Z,ujPSu,u,R0a5PSrw))

TbTU),+ W^asr.PSW

W1+ +.W>yTk)\+ 2,R0/1p)5TkM\+.-U- adc*+PSrw) u a/1M5T /1M TU),+jTURkP 0+hrhTUaR04G/1- `j+.PS-UZ,R0+.x PSM\x

r.a`u_PSR0+.x /Tk)Tk),+ 2\RU/1pS)TUM,+.-0-/1M/Tk--UZ\RURUaSZ,M,x,/^M,p-"

I /^x,x,+.M PdR !Sa

aix,+.W

|

I

‚

+h-0Tk/^` P<Tk+.-TU),+ W1/8!S+.W^/1),aiaix aSc 2:+h/1M,p P<T -0TwP<Tk+ OQ+hM u aR

-0TkPdTk+ OE+.MGnoa MclaR +PSrw) /1M,x\/ i/1x,Z,PSWQu a/^MTop/S+.MTk),+ `+Pd-UZ,R0+.x 2,RU/^p)5T>P

M,+.-0-" (*),+clZ,W1WETkRUP 0+.rtTkaR€4/1- -U+.pS`j+hMTU+.x /1M5Tka -0TkR0aG!S+h-fPSM,x +PSrw) -€TkRUa!S+

/1-r.W1PS-U-0/^]_+hxPS-3u:+hMZ,uaSR3u +.Mx,a< MPSppR0+.p5P<Tk/1M\pTU),+ W^/%!d+.W1/^),aiasx,-*u\RUa i/1x,+hx

254 Tk),+WI WBWWWWWWBWWWWWWBWWW

z

z



) (*),/1-b/1`jPSp+3-U),a< -mTk)\+ U 3L

|

U RkPSu,)\/1rPdW 3-U+.RbLNMTU+.R€cPSr.+

‚

aScTk),+ /^M,x,a< - P

2_PS-0+.x PSu,u,W^/1r.PdTk/^aMTU)_PdT*/^`ju\W1+.`+.M5TU-baZ,Rb-04i-0TU+.` (*)\+2,/1ppS+.-0T /1M,x,a<

/1-P no/VPSW^ap9Sba&XTU)_PdTfPSW^W1a< -oTk)\+ Z,-U+hRfTUa /^M,u,Z\Tqu,PSRkPS`+hTU+.R0-qPSM,x RUZ,M r.aS`P

` PdM,x,-"

-U+hr.aM,x /^M,x,a< /1- Z\-U+.xTUa -U),a< Tk),+#/1`jPSp+qTk)_PdT Tk),+r.PS`+.RkP

/1- u,R0a i/^x,/1M,p Tka Tk)\+#-04i-€Tk+.` PSM,x Tk),+fWVPd-0T3 /1M,x\a H-U),a< - TU),+ aSZ\Tku,ZsT TURkPLP

0+.rtTkaR€4 PdcTk+hR*)_P i/1M,px,aM,+TU),+qu:+hMZ,u#Fdx,a< MrhWVPS-0-U/]_rPdTU/1aM BWWW C {

z



> X,Pd`ju,W^+.-oadc'-U+.gZ,+hM,r.+h- Z\-U+.xTUa +.-€Tk/1`jPdTU+ Tk)\+ -0TwP<Tk/1r#PSM,xx\4iM_Pd`j/^r#RU+h-Ua:P

W1Z\TU/1aM adcQTU),+q-04i-0TU+.` WWWWWBWWWWWWBWWW C z

z



X,Pd`ju,W^+.-adc -U+.gZ,+hM,r.+h- r.PSu\TkZ\RU+.x /Tk) TU),+ RU+.PSW7PCTk/1`+ -04i-0TU+.` G+ r.aSW7P

W1+hrhTk+hx +#X\PS`u,W1+h-*aScr.Z\RU-U/++ RU/Tk/^M,p,yi2,W1air !jW^+hT0Tk+.R0-.y,u\RU/1M5TU+.x W1+tTUTU+.RU-hy,x,RUP<=P

/1M,pS- PSM,x ` P<Tk),+h` PdTU/1r.PSW!-€4s`#2:aW^-"EWWBWWWWWWBWWW CEC

z  ? OQaR€Tk/^aM,- aSc Tk),+ +#X\PS`u,W^+-U+.gZ,+hM,r.+h--U)\a M /1M ]_pZ\RU+ z  A (*),+

x,aSTk-RU+hu,RU+h-U+.M5T3Tk),+fPSrtTkZ_PdW -kPS`u,W1+h- PSr.gZ,/^RU+hx /Tk) Tk),+q/^MTU+.R€cPSr.+: BWWW C

@

z zS{ (*),RU+h+ +#X\PS`u,W1+h-IaSc:TU+.-€T -0+.gZ,+hM,r.+h-mPSR0+3-0),a< MjaSM TU),+*]_RU-€T'RUa<BI(*),+

u,W^aSTk-aSc'Tk),+ -0+.rhaM,x RUa< ),P S+ Tk),+ Tk)\/1r !M,+.-0-qaSc'Tk),+ -U+hp`+.M5Tk-u,R0au aR0TU/1aM_PdWQTka

Tk),+`j+.PSMadcoTk),+r.aMs]_x,+.M\r.+`+PS-0Z,RU+aSc/^M! u,RU+h-U+hM,r.+aSc Tk),+-U+.pS`j+hMT

+.M,x\u:a/^M5Tk-"(*),+ RU+.-0Z,W^TAaSc:TU),RU+h-U),aSW1x,/^M,poTk),/^-Ar.aSM\]_x,+hM,r.+3`j+.PS-UZ\RU+*/1-I-0),a< M

/1MTU),+Tk),/^RUxR0a B#(*),+ claZ,R0TU) RUa< -0),a< - -0+.p`+.M5TU-B )\a-U+ +#XiTURU+.`jP PSRU+

r.W1PS-U-0/^]_+hxPd-3u +.M x,a< M 24 TU),+WI BWWWWWWBWWW CG?

z zs (*),+b]_R0-0TIR0a< -0),a< -ATk),+*-0+.p`+.M5TU+.xTkRUP 0+.rtTkaR0/1+h-.y ),+hRU+mTU),+mx,/7M!+hRU+.M5TI-0+.p:P

`j+hM5Tk-3PSRU+qu,W^aSTUTU+.x? /^TU) +./^TU),+.R -0aW1/^x aR x_PS-U)\+.xW^/1M,+h-"ILNM Tk),+q-0+.r.aSM,xPSM\x

claZ,R€Tk) R0a -TU),+ TU),/1r !M,+h-U- aSc*TU),+ -0TURUaG!d+.- /1- u,RUaSu:aR€Tk/^aM_PSWITkaTk),+ rhaM\]AP

x,+.M\r.+*`+PS-0Z,RU+ a2\TwPd/1M,+hx/1M#TU),+bT arPS-0+.-I`+.M5Tk/^aM,+hx PS2 a S+

|

PdppRU+hp5PdTU/1aM

aScsW1airPSWd/1M!o`+Pd-UZ,R0+.`+.M5Tk-EPSM,x adTk/1M\p32,PS-U+hx aMI -€TwPdTU+.- ‚ (*),+'Tk)\/1RUx

PSM,x ],cTU)R0a - -0),a<HTk),+q-€TkRUa!S+.- PdcTU+.R u:+hR0claR0`j/^M,p P )_PSR0x rhWVPS-0-U/]_rPdTU/1aM

@S{

AA

}

/1pSM_PdTkZ\RU+ +hRU/]_rPdTU/1aM -€4s-€Tk+h` WWBWWWWWWBWWW @ A

AA

z

}

/1pSM_PdTkZ\RU+.-bPSr.gZ,/^RU+hxY /^TU)jTk)\+ i/1-UZ,PSW:/^M5Tk+.R€c PSr.+ PSM,x rhaRUR0+.-0u:aM\x,/1M,p#/1`jPSp+

rPSusTkZ,R0+.x 254 Tk),+rPS`+.RUP PdcTU+.Rj],M,/1-0),/1M,p Tk),+PSr.gZ,/^-U/Tk/1aSM) +a2,-0+.R S+

AADA v aRUR0+.-0u:aM\x,+.M,rh+ 2 +hT +.+hMTk)\+qT ar.Z,R+.-*PdM,x< WWBWWW

@

AAHC

|

P ‚ PdTkrw),/^M,p u,RUair.+h-U-#x\/1-Uu\WVP4+hxGaM Tk)\+ mPSR0u,/1M\pu,W1PSM,+: (*),+jx,PS-U),+hx

W1/^M,+ -0),a< -ITk),+*W^/1M,+.PSRQrhaRUR0+.-0u:aM\x,+.M,rh+ 2:+tT b+h+.M Tk),+*rhZ,R S+.-J ),/1W^+ TU),+*-UaW^/1x

W1/^M,+j-0),a< -#Tk)\+ au\TU/1`jPSW'` PdTUrw),/1M\pa2\TkPS/1M\+.x Pd- P-UaSW1Z\TU/1aM aSc*Tk)\+ +.gZ_PLP

Tk/^aM AAD)A

|

2

‚

v aR0RU+h-Uu aM,x,/^M,pEmPSR0u,/1M\pclZ,M\rhTk/^aM,- fPSM,x BWWW )

{

AA@ no/8M:+.R0+.M5T u a-U-0/12,W^+u:aSR0Tk/^aM,-jaScBmPSR0u,/1M\p u_PdTk) +hM,x,/1M\p PdT M,aix,+

|

‚

u,RUaSu:a-0+.x /1M Tk)\+fW^/^TU+.RkP<TkZ,R0+ WWWWBWWWWWWBWWW )

z

AAD) XsTURU+h`j+q+#X\PS`u,W^+aScZ\M,r.aM\-0TkRUPS/1M\+.x`/1M\/1`/%$P<Tk/1aSMadcA+.gZ_P<Tk/1aSM ADBAAI(*)\+

W1a< +.Rr.Z\R +/1-oTU),+ -kPS`+ /1M 2 aSTk) rPd-U+.-V U /+.M Tk)\+rhaRUR0+.-0u:aM\x,+.M,rh+j2 +#P

T b+h+.M-UPS`u,W1+h-3-0),a< M/^M TU),+]_pZ,R0+Sy_Tk),+fx,/^-0TwPdM,r.+q2 +hT

+.+.MTU),+qr.Z,R+h-o/1-Tk),+q-UPS`j+/^M 2:aSTU) rPS-0+.-"3WWWWWBWWWWWWBWWW )

z

AAB> (*),+q]_RU-€ToRUa< -0),a< - -0/1pM_P<TkZ,R0+.- clRUa` P -UZ,2 0+.rhT Tk)_PdT3x,ai+.- M,aST3-U/^pM r.aMDP

-U/^-0Tk+hM5TkW^4 (*),+ `/1x,x\W1+ W1aiau,-fPSR0+ Pdx,x,+.x!yAx,+.W^+hTU+.x PSM\x x,/^-0TkaSR0Tk+hx gZ,/Tk+jP

2,/^T*clR0a` aSM,+ -0/1pM,PdTkZ,R0+oTka Tk),+qaSTU),+.RV (*)\+ -0+.r.aSM,xR0a -U),a< -

-U/1pSM_PdTkZ\RU+.-clRUa` Po`Z\rw) `jaR0+brhaM,-U/^-0TU+.M5T'-UZ,2 0+.rhT.yiPSW^TU),aZ,p) Tk),+hRU+*/1-Q-Ua`+mx,/^-0TUaR0TU/1aM

2:+tT b+h+.M-U/1pSM_PdTkZ\RU+.-V WWWWWWBWWWWWWBWWW )$C

AA T asr.PSWIr.aM5TU/1MZ,/^TN4 rhaM,-€TkRkPd/1M5TPdM,xGTU),+jrhaRUR0+.-0u:aM\x,/1M,p `jPdTkrw),/^M,p 2:+tT b+h+.M

-kPS`u,W^+.-*aScQr.Z,R+h-bPSM,x& WWWBWWWWWWBWWW ) @

AAD? (*),+q-U)_Pdx,+.xRU+.pS/1aM /^-mTk),+fPSW^W1a<b+hx RU+.pS/1aM aScETk)\+BbPSR0u,/1M,p u,W1PSM,+Tk),PdT*Tk),+

mPdRUu,/^M,p u_PdTk) rPdM TURkP +hRU-0+#x,Z,+TUapSW1a2_PdW!r.aSM,-0TURkPS/^MTU-"3WWBWWW )E)

AA

 {

X,Pd`ju,W^+jadc*x\4iM_PS`/1rju,RUapSRkPS``j/^M,p `jPdTkrw),/^M,pPdu,u,W1/^+.x Tkarha`u_PSRU+Tk),+

z n -U),PSu:+ adcIT ba RU+.PSW1/8$PdTU/1aM\- aScITU),+ -kPd`j+ -U/1pSM_PdTkZ\RU+q(*),+],RU-0Tor.aW^Z,`jM

-U),a< - Tk),+ ),aR0/%$.aSMTkPSWorhasaR0x,/1M,PdTk+

|

‚

aSc#2:aSTU) -0/1pM,PdTkZ,R0+.- 2:+tclaRU+ PSM\x

PdcTk+hRo`jPdTkrw),/^M,p@!TU),+ -U+hr.aM\xGrhaW1Z,`M-0),a< -qTU),+ +hR0TU/1rPdWAr.aiaRUx\/1M_PdTU+

|

‚

aSc'2 aSTk)-0/1pM_P<TkZ,R0+.-2 +hclaR0+ PSM,x PdcTU+.RPdW1/1pSM,`j+hM5T&(*),+ Z,u\u:+hRu,W1aST aSc'Tk),+

Tk),/^RUx rhaW1Z\`jMj-U),a< -mTk)\+ T ba + X\PS`ju\W1+.-baSc Tk),+ -U/1pSM_PdTkZ\RU+(*),+W1a< +.Rbu\W1aST

AA



(*),+b]_R0-0Tu,W1aSTQ-U)\a -AP -U/^pM_PdTUZ,RU+ PSr.gZ,/^RU+hx /^Tk) aZ,RQ-04i-0TU+.` PdM,x#Tk)\+.RU+tclaRU+

u_PSRUPS`j+tTk+hRU/%$h+.x /1M Tk/^`j+:j(*),+j-U+hr.aM,x PSM,xGTU),/1R0xGu\W1aSTU-fx\/1-Uu\WVP4Tk)\+j-UPS`j+

-U/^pM_PdTUZ,RU+u_PdRkPS`+hTU+.RU/8$.+hx /^M 'Z\r.W1/^x,+PdMPdM,xPLFjM\+ PdRUr#P W1+hM,pSTk) R0+.-0u:+hrhTk/+hW^4G >

z

AA z

v

Z,R S+.-faSc*Xe e PSM,xGX

e PS-fP clZ,M\rhTk/^aM aSc Tk),+ r.W1PS-U-0/^]_r.PdTk/^aMTk)\RU+.-0),aW^x

PSM,x Tk)\+frhaRUR0+.-0u:aM\x,/1M,p+.R0RUaRmTURkPSx\+#PNa:Mr.Z,R+: WWWWBWWW > C

AA A (*),+ ]_RU-€T u,W^aST-U),a< -Tk),+ aRU/^p/1M,PSWm-U/^pM_PdTUZ,RU+ r.PSu\TkZ\RU+.x /^Tk) Tk)\+ i/1-0Z_PSW

TkRUPSr !S+hR"A(*),+b-U+.rhaM,x u,W^aSTx\/1-Uu\WVP4i-QTk)\+mu:aS-U/^TU/1aMfaSc_TU),+bM,+# -kPS`u,W1+h-( ),+hM

u:+hR0claR0`j/^M,pjTU),+ Tk/^`j+ aRU/^p/1M-U),/c Tk/1M\p (*)\+ TU),/1R0x PSM,xclaZ\R0Tk) u,W^aSTk- -U),a<

Tk),+ RU+.-0Z,W^TbaScEPSu,u\W^4i/1M,pPSM P:FM,+o-0rPSW^/1M,p Tka#TU),+oaR0/1p/^M_PSW_-U/^pM_PdTUZ,RU+dy\/^M Tk),+

),aR0/%$.aSMTkPSW*PSM\x S+.R0TU/1r.PSW*r.aiaRUx\/1M_PdTU+.- RU+h-Uu +.rtTk/S+.W4G(*)\+ `jPLXs/1`#Z,`PSM\x

`j/^M,/1`#Z,` dPSW1Z,+ aScE-UrPdW1/1M\pTka 2 +qPSu,u,W^/1+.x /1-*+.-€Tk/^` PdTU+.x clR0a` TU),+oTkRUPS/1M\/1M,p

-U+tT& WWWWWBWWWWWWBWWWWWWBWWW > @

AA



C oM,+q-U/1pSM_PdTkZ\RU+oclRUaS` +Pdrw)aScETk),+q-0Z,240+.rtTk- /1M Tk)\+fx,PdTwPS2,PS-U+: BWWW >E>

AA@

W^WY-U/^pM_PdTUZ,RU+h-mclRUa` -0Z,240+hrhTk-3- { A { PdM,x - { )E)D WWWWWBWWW >

AA



) (*),+.R0+qPSRU+ claZ,RbTURUZ,+o-0/1pM,PdTkZ,R0+.- PSM\x aM,+o->!i/^W1W^+.x claR0p+.R€4 /^M +PSrw) R0a B'noa

4aZ

bPSM5T3TUaj`jP!d+qPpZ\+.-U-}

aW^Z\Tk/^aM,-*/1M TU),+qWVPS-€T u_PSp+qaScETk)\+frw),PSu\Tk+hR" {

AA



>(*),+b-0/1pM,PdTkZ,R0+.-Q/1MqTk),+ ]_RU-€TIPSM,x Tk),/^RUxfRUa< -IPSR0+ TU),+baR0/1p/^M_PSWaSM,+.-QrPSu\TUZ,RU+hx

/^TU) Tk),+ i/^-UZ_PSW TkRUPSr !S+hR PSM,x Tk)\+ -U/1pSM_PdTkZ\RU+.-#aM Tk),+ -U+.rhaM,x PSM,x claSZ,R0TU)

RUa< - PSRU+TU),+GrhaRUR0+.-0u:aM\x,/1M,p aM\+.-PdcTk+hR RUaSTkPdTk/^aM M,aRU`jPSW^/%$P<Tk/1aSM) (*)\+

M,aR0` PSW^/%$.PdTk/^aM aR !-fgZ,/^TU+ +.W^WAclaR-UZ\240+.rtT- {z C -f-0/1pM,PdTkZ,R0+.-fPSM,x c

PS/^W1-claR*-UZ\240+.rtT

-{{

C - -U/1pSM_PdTkZ\RU+.-V=WWWBWWWWWWBWWW



AA

}

+ S+.RUPSW + X\PS`ju\W1+.-faSc*-0/1pM,PdTkZ,R0+.-f/1MGaZ,Rfx_PdTwPd2_PS-U+: oMGTk)\+j]_R0-0T r.aW^Z,`jM

b+#x,/1-0u,WVP4 -U/^pM_PdTUZ,RU+h- rPdu\TkZ,R0+.x /Tk)TU),+ i/1-0Z_PSWTkRkPdr !S+.RhyYaMTU),+-0+.r.aSM,x

r.aW^Z,`M +-0),a< Tk)\+rhaRUR0+.-Uu aM,x\/1M,pGu,RUaSTUaSTN4iu:+ -U/^pM_PdTUZ,RU+dymPSM\x aM Tk),+

Tk),/^RUx r.aSW1Z,`M9b+fx,/^-Uu,W1P 4 aM,+qaScETk),+q/^MTU+.M5Tk/^aM_PSW claRUpS+.RU/^+.-V(WBWWW

@

AA ? OQ+hR0claR0` PSM\r.+ aSc Tk),+ -04i-€Tk+.` /Tk),aZsTqRUaSTkPdTk/^aMM,aR0` PSW^/%$.PdTk/^aM)f(*),+],RU-0T

RUa< r.aR0RU+h-Uu aM,x,-TUaTk),+ ],RU-0T-U/1pSM_PdTkZ\RU+ -0+hTPSM,x TU),+ -0+.r.aSM,x RUa< r.aR0RU+#P

AA

zS{

OQ+hR0claR0` PSM\r.+qaScTU),+q-04i-0TU+.` /^TU)R0aSTwP<Tk/1aSM M,aRU`jPSW^/%$P<Tk/1aSM)(*),+q]_R0-0T RUa<

r.aR0RU+h-Uu aM,x,-ETka Tk),+']_RU-€T-0/1pM,PdTkZ,R0+'-U+hTPSM,xfTk),+ -U+hr.aM\xRUa< rhaRUR0+.-Uu aM,x\-QTka

Tk),+3-U+hr.aM\x -U/^pM_PdTUZ,RU+ -U+tT&I(*),+3r./^RUrhW1+ -U),a< - Tk),+ +.gZ_PSW[+.R0RUaR RkP<Tk+ r.aM\x,/^TU/1aM)

AAzs OQ+hR0claR0` PSM\r.+ aSc Tk)\+ -04i-0TU+.` /Tk) x,Z,u,W^/1r.PdTk+hx +#X\PS`u,W1+h-" (*),+ ]_RU-€T RUa<

r.aR0RU+h-Uu aM,x,- TUajTU),+ ]_R0-0T -U/1pSM_PdTkZ\RU+f-U+hToPSM,xTU),+#-0+.rhaM,xRUa<8rhaRUR0+.-Uu

aM,x\-Tka Tk)\+ -0+.rhaM,x-0/1pM,PdTkZ,R0+ -U+hT""(*)\+ rh/1R0r.W1+-0),a< -TU),+ +.gZ_PSWq+.R0RUaR RUPdTk+

r.aM\x,/^TU/1aM) WWBWWWWWWBWWWWWWBWWW E?

AAzz OQ+hR0claR0` PSM\r.+qaScETk),+q-04i-€Tk+.` /Tk) `Z,WTk/1u\W1+ x\/1-0TkPSM,rh+.-" (*),+]_R0-0T RUa<HrhaR P

RU+h-Uu aM,x,- TUa Tk)\+#]_RU-€T-U/^pM_PdTUZ,RU+ -U+tTqPSM,xTU),+#-0+.r.aSM,x RUa< r.aR0RU+.-0u:aSM,x,-oTka

Tk),+3-U+hr.aM\x -U/^pM_PdTUZ,RU+ -U+tT&I(*),+3r./^RUrhW1+ -U),a< - Tk),+ +.gZ_PSW[+.R0RUaR RkP<Tk+ r.aM\x,/^TU/1aM) ? {

AA

z

A LNM,x,/s/^x,Z_PSW +hgiZ,PSW +hRURUaSR RkP<Tk+.- PSrw),/1+ +hx Z,-U/^M,p `Z,WTk/^u,W1+ x,/^-0TkPSM,r.+h-"H(*)\+

]_RU-€T RUa< rhaRUR0+.-Uu aM,x\- TUa TU),+ ]_RU-€T-0/1pM,PdTkZ,R0+-U+tTPSM\x TU),+ -U+.rhaM,x RUa<

r.aR0RU+h-Uu aM,x,- Tka Tk)\+f-0+.rhaM,x-0/1pM,PdTkZ,R0+-U+tT& WWWWWWBWWW ?



AAz C IRURUaSRIRkPdTU+*r.Z,R+.- claRATk)\+3x\/8M:+.RU+hM5T'x,/1-€TwPSM,rh+.- Z,-U+hxj/^M Tk),+ +#Xsu +.R0/1`+.M5Ty5claR

P:FM,+fPSRUr PNW^+.M,pSTU) u_PSRUPS`j+tTk+hRU/%$.PdTk/^aM) WBWWWWWWBWWW ?

z

AAzE@ v PS-U+h- claRH ),/^rw) TU),+ PSW1pSaRU/Tk),`)_PS- 2\/1pp+h-0T +hRURUaSR" (*)\+ TU),RU+h+ ]_RU-€T -U+#P

gZ,+.M,rh+.- PSRU+ clR0a` -0+hT



PdM,x TU),+ Tk),R0+.+ WVPd-0TPSR0+ clRUa`-0+hT

z

G+ -U),a<

P -0/1pM,PdTkZ,R0+clR0a` TU),+j-0+hT.yQTk)\+ u,R0aSTkaSTN4iu +j-0/1pM,PdTkZ,R0+ +#XiTkRUPSrhTU+.x clR0a` Tk),+

TkRUPS/1M,/^M,p-0+hTy[Pc PSW^-U+hW^4jRU+ 0+hrhTU+.x-0/1pM,PdTkZ,R0+Sy_PdM,x P c PdW1-U+hW^4 PSr.rh+.u\TU+.x - !/1W^W1+.x

claRUpS+.R04NWWWBWWWWWWBWWWWWWBWWW ?EA

C



v aRUR0+.-0u:aM\x,+.M,rh+q2:+tT b+h+.M Tk),+oT a r.Z,R+h-bPSM\x &I(*),+x,aSTU-m/1M\x,/1r.PdTk+

PSrhTUZ_PSWY-UPS`u,W1+h- PdM,x Tk),+qr.R0a-U-0+.- /1M,x,/^rPdTU+o/1M5TU+.R P -kPS`u,W^+ou:aS/1M5Tk-V WWW ? @

C

z

|

P

‚

PdTUrw),/1M,padc3T a r.Z,R+h-Z\-U/1M\pnO

|

2

‚

PdTUrw),/1M,padc*T ba r.Z\R

+h-Z,-U/^M,p

v

nO s(*),+or.R0a-U-0+.-*-0),a< `jPdTUrw),/1M,p u:aS/1M5Tk- Tk)_PdTmPSRU+ M,aSTb-kPS`u,W1+h-"

|

r

‚

PSM,x

|

x

‚

r.aSRURU+h-Uu aM,x,/^M,pEmPdRUu,/^M,p u,WVPSM\+.-3PSM,x ` P<Tkrw),/^M,pclZ,M,rtTk/1aSM,-"W ?E)

CDA

v

Z,R S+ u,PSRkPS`+hTU+.R0/%$P<Tk/1aSM Z,-U+hx/^M

v

C



? no+hTkPS/1W5aSc\Tk),+ ` PdTUrw),/1M\p 2 +hT +.+.M TU),+ T ao-U/^pM_PdTUZ,RU+h--0),a< M /1M ],pZ,RU+ C



A

LNM +.PSrw) RUa<qy +G-0),a< T ba x,/7M!+hRU+.M5T u aR0TU/1aM,- adc TU),+ r.Z,R+.-PSM,x Tk),+

r.aR0RU+h-Uu aM,x,/^M,p ` P<Tkrw),/^M,p a2sTwPS/^M,+.x Z,-0/1M,p nO PdM,x v nO m(*),+W1PS-0T

u,W1adTbaScE+.PSrw) RUa< x,/1-0u,WVP4i-bTU),+or.aSRURU+h-Uu aM,x,/^M,p u aR0TU/1aMjaSc Tk),+6mPSR0u,/1M\p u_PdTk) @ C

C

zS{

OIW1aSTU- aSc TU),+orha`ju\Z\TwPdTU/1aM,PSW,Tk/^`j+3RU+hgiZ\/1RU+hx claR +PSrw) PSW^paR0/^Tk)\` PS-mPfclZ,M,r#P

Tk/^aMaSc Tk),+ W1+hM,pSTU) adcbaM\+adc TU),+ -U/1pSM_PdTkZ\RU+.-qZ,M\x,+.Rqr.aS`ju_PdRU/1-0aMYyYclaRx\/^cP

cl+.R0+.M5TbPSR0u,/1M,pu,WVPdM,+ r.aM,-€TkRUPS/1M5Tk-V (*),+ rha`u,Z\TwP<Tk/1aSM TU/1`+claR nO

/1-x,/1-0u,WVP4S+.x? /^TU) X

|

W^a +.R*rhZ,R S+ ‚ y[TU),+Tk/^`j+3claR nO /Tk) a +hRU-kPd`ju,W^/1M,p

/1-u,W^aSTUTU+.xB /^Tk) a

|

`j/^x,x,W^+Ir.Z,R+

‚

PSM,xfTk),+ Tk/1`+AclaR v nO "/1--0),a< M /^Tk)

|

Z,u,u +.Rqr.Z\R + ‚ (*),+W1/^M,+.-oR0+.u,R0+.-0+.M5T P W1/^M,+PdR ],Tq/1M -0+.`/1W1aSp5PSRU/Tk),`/1r

-Uu_Pdr.+qaScETk),+qx_PdTkPA BWWWWWWBWWWWWWBWWW

@$@

Czs OIW1aSTU- aSc!Tk),+ ` PLXs/^`Z,` -€TkaRUPSp+ R0+.gZ,/^RU+.xjclaR v nO Pd-mP clZ,M\rhTk/^aM adcYTk),+

r.a`u,Z\TkPdTk/^aM#TU/1`+mZ,-U+hx 254TU),+3PSW1paSRU/^TU),` y<claRQTk),+*claZ,RIx\/8M:+.RU+hM5T;bPSR0u,/1M,p

u,WVPdM,+r.aM\-0TkRUPS/1M5TU-"'(*),+q-UaW^/1x W^/1M,+R0+.u,R0+.-U+hM5Tk-oP W^/1M,+.PSRb],T0Tk/1M\p aScTU),+qx_PdTwP

/1MjW1ap5PdRU/^TU),`/1r*-Uu,PSr.+: G+oM,adTk+ TU)_PdTmTU),+ rhaRUR0+.-0u:aM\x,/1M,p]\TUTk/^M,p

clZ\M,rhTU/1aM,-PSRU+ u a<b+hRW1P& - /Tk) PSM +#Xsu:aSM,+.M5TTk)_PdT/^- +.R€4 r.W^a-U+ Tka aM,+dyb/R+:^y'Tk),+

clZ,M,rtTk/1aSM,- PSRU+fPSW^`jaS-0T*W^/1M,+.PSRbclZ,M,rtTk/^aM,-"BWWWWWWBWWW

@

)

Czz

}

+ S+.RUPSW +#X\PS`u,W1+h- aScE-U/1pSM_PdTkZ\RU+.- /^M aZ,R*x_PdTkPS2_PS-0+fPSM,x r.aR0RU+h-Uu aM,x,/^M,pjR0+hc P

+.R0+.M,rh+#clZ,M,rtTk/1aSM,-oa2\TkPS/1M\+.x /Tk)nO PdM,x v nO !LNMTU),+#]_R0-0T r.aW^Z,`jM

b+ x,/^-Uu,W1P4-U/^pM_PdTUZ,RU+h-rPSusTkZ,R0+.x /Tk)Tk)\+ s/^-UZ_PdWATkRkPdr !S+.RhyQ/^MTk),+ -0+.r.aSM,x

PSM,x Tk),/^RUx r.aW^Z,`jM\-.y +#-U)\a TU),+fr.aR0RU+.-0u:aSM,x,/1M\pjR0+hcl+.R0+.M,rh+-U/^pM_PdTUZ,RU+h- adc

Tk),+ TkRUPS/1M\/1M,p-0+hT aS2\TwPS/^M,+.x /^TU)nO PSM,x

v

nO ybPSM\x/1M TU),+ claSZ,R0TU)

r.aW^Z,`M9b+fx,/1-0u,WVP4 P claSRUp+hR04 u,R0a s/^x,+.x 254 Tk)\+f-0Z,240+hrhTk-V3WBWWW

@

>

Cz A M!+hrhToadcI-UZ,24PN-kPd`ju,W^/1M,p TU),+#-0/1pM_P<TkZ,R0+.-" (*),+f]_RU-€T rhaW1Z\`jM-U),a< - -0+ S+.RkPdW

+#X\PS`u,W1+h-*aScQ-U/1pSM_PdTkZ\RU+.-*/^M aZ,R*x_PdTkPS2_PS-0+'(*),+q-U+hr.aM\xPSM\x TU),/1R0x r.aW^Z,`jM

C

z

C M!+hrhTIaSc Pdx,x,/1M\poM,a/^-U+ TUa Tk)\+m-U/^pM_PdTUZ,RU+h-"A(*),+ ]_RU-€TIr.aW^Z,`M#-U)\a -I-0+ S+.RkPdW

+#X\PS`u,W1+h-qaScb-0/1pM,PdTkZ,R0+.-f/1M aZ,Rqx_P<TwPS2_Pd-U+j(*),+-U+.rhaM,xGr.aW^Z,`jM

x,/^-Uu,W1P4s-Tk),+ rhaRUR0+.-Uu aM,x\/1M,pf-U/^pM_PdTUZ,RU+h- P<c Tk+.R')_P i/1M\p#PSx\x,+.xjPW$h+.R0a `+PSM U PSZ,-U-0/VPSM

M,a/^-U+ /^TU)qP*-0TwPdM,x_PSR0xfx\+ i/VPdTU/1aM+hgZ_PSWTkam] +'Tk/1`+.-:Tk),+I-0u_PdTk/1PSWSR0+.-0aW1Z\TU/1aM

aScTk)\+ s/^-UZ_PdW TkRUPSr !S+hR u,RU+h-U+.M5TU+.x /1M rw)_PSusTk+.R

z

(*)\+ TU),/1R0x PSM,x claSZ,R0TU)

r.aW^Z,`M,- -0),a< Pjx,+hTkPS/1WaSc'u aR0TU/1aM\- aScITU),+-0/1pM_P<TkZ,R0+.-6 /Tk)PdM,x /^TU),aZ\T

M,a/^-U+ WWWWBWWWWWWBWWWWWWBWWW

@

?

CzE@ IRURUaSRTkRUPSx,+#P aMjr.Z,R+.-IclaR

v

nO PdM,x nO + dPSW1Z_P<Tk+.x#aM

aZ,RAx,PdTwPS2,PS-U+h-aScQ-U/1pSM_PdTkZ\RU+.-VI(*),+fx,/1-€TwPSM,rh+fPdc Tk+hR*` PdTUrw),/1M\p/^-*Z,-U+hx claSR*r.WVPd-U-U/]_rP<Tk/1aSM)



)

{

Cz ) IRURUaSRTkRUPSx,+#P aMjr.Z,R+.-IclaR

v

nO PdM,x nO + dPSW1Z_P<Tk+.x#aM

aZ,RAx,PdTwPS2,PS-U+h-aSc-0/1pM_P<TkZ,R0+.-"(*),+)_PSR0`jaSM,/1r `j+.PSM aScPSW1W Tk),+x,/1-€TwPSM\r.+.- u,RUau a-0+.x /1M

rw)_PSu\TU+.R APSRU+Z,-0+.x claR*r.W1PS-U-0/^]_r.PdTk/^aM) WBWWWWWWBWWW  ) {

C

z

> IRURUaSRTkRUPSx,+#P aMjr.Z,R+.-IclaR v nO PdM,x nO + dPSW1Z_P<Tk+.x#aM

aZ,RAx,PdTwPS2,PS-U+h-aScY-0/1pM,PdTkZ,R0+.- PdcTk+hR'-UZ,2DP -kPS`u,W^/1M,pTk)\+ -0/1pM_P<TkZ,R0+.-'254 PcPSrtTkaR'aSc:T baI(*)\+

x,/1-€TwPSM\r.+fPdc Tk+hR*` P<Tkrw),/^M,p /1-*Z,-0+.x claR*r.W1PS-U-0/^]_r.PdTk/^aM)3WWWBWWW



)



Cz IRURUaSRTkRUPSx,+#P aMjr.Z,R+.-IclaR v nO PdM,x nO + dPSW1Z_P<Tk+.x#aM

aZ,RAx,PdTwPS2,PS-U+h-aScY-0/1pM,PdTkZ,R0+.- PdcTk+hR'-UZ,2DP -kPS`u,W^/1M,pTk)\+ -0/1pM_P<TkZ,R0+.-'254 PcPSrtTkaR'aSc:T baI(*)\+

)_PSR0`jaM\/1ro`+PSM aScQPSW^W!Tk)\+fx\/1-0TkPSM,rh+.- u,RUaSu:a-0+.x /1M rw)_Pdu\Tk+hR7A PSR0+Z,-U+hxclaR

r.W1PS-U-0/^]_r.PdTk/^aM) WBWWWWWWBWWWWWWBWWW



)



Cz ? IRURUaSRTkRUPSx,+#P aMjr.Z,R+.-IclaR

v

nO PdM,x nO + dPSW1Z_P<Tk+.x#aM

aZ,RAx,PdTwPS2,PS-U+h-aSc -U/^pM_PdTUZ,RU+h-'PdcTk+hRA-UZ,24PN-kPd`ju,W^/1M,p Tk),+*-0/1pM_P<TkZ,R0+.-I254 P c PSrtTkaRIaSc[claZ\R"(*)\+

x,/1-€TwPSM\r.+fPdc Tk+hR*` P<Tkrw),/^M,p /1-*Z,-0+.x claR*r.W1PS-U-0/^]_r.PdTk/^aM)3WWWBWWW  ) z

CDA

{

IRURUaSRTkRUPSx,+#P aMjr.Z,R+.-IclaR v nO PdM,x nO + dPSW1Z_P<Tk+.x#aM

aZ,RAx,PdTwPS2,PS-U+h-aSc -U/^pM_PdTUZ,RU+h-'PdcTk+hRA-UZ,24PN-kPd`ju,W^/1M,p Tk),+*-0/1pM_P<TkZ,R0+.-I254 P c PSrtTkaRIaSc[claZ\R"(*)\+

)_PSR0`jaM\/1ro`+PSM aScQPSW^W!Tk)\+fx\/1-0TkPSM,rh+.- u,RUaSu:a-0+.x /1M rw)_Pdu\Tk+hR7A PSR0+Z,-U+hxclaR

CDA



IRURUaSRTkRUPSx,+#P aMjr.Z,R+.-IclaR v nO PdM,x nO + dPSW1Z_P<Tk+.x#aM

aZ,RAx,PdTwPS2,PS-U+h-aScA-0/1pM,PdTkZ,R0+.- PdcTk+hR3PSx,x,/^M,pTUajTU),+ -0/1pM,PdTkZ,R0+.- $.+hRUa `+PdM

U

PSZ,-0-U/VPdMM,aS/1-U+

/^TU)P-0TwPdM,x_PSR0xx,+ i/1PdTk/^aM+hgZ_PSWTka ] +#TU/1`+.-*Tk)\+ -0u_PdTk/1PSWRU+h-UaW^Z\Tk/^aMadc

Tk),+ s/^-UZ_PdW TURkPSr !d+.R*u,R0+.-U+hM5Tk+.x /1M rw)_PSu\TU+.R z A(*)\+x,/1-€TwPSM,rh+PdcTU+.Rb`jPdTUrw),/1M,p

/1-*Z,-0+.x claR*r.W1PS-U-0/^]_r.PdTk/^aM) WWWWBWWWWWWBWWW



)$A

CDA z IRURUaSRTkRUPSx,+#P aMjr.Z,R+.-IclaR

v

nO PdM,x nO + dPSW1Z_P<Tk+.x#aM

aZ,RAx,PdTwPS2,PS-U+h-aScA-0/1pM,PdTkZ,R0+.- PdcTk+hR3PSx,x,/^M,pTUajTU),+ -0/1pM,PdTkZ,R0+.- $.+hRUa `+PdM U PSZ,-0-U/VPdMM,aS/1-U+

/^TU)P-0TwPdM,x_PSR0xx,+ i/1PdTk/^aM+hgZ_PSWTka ] +#TU/1`+.-*Tk)\+ -0u_PdTk/1PSWRU+h-UaW^Z\Tk/^aMadc

Tk),+ i/1-0Z_PSWITkRUPSr !S+hR#u,R0+.-U+hM5Tk+.x /^M rw)_Pdu\Tk+hR

z

(*)\+ )_PSR0`jaSM,/1r `+PSMGaSc*PdW1W

Tk),+qx,/^-0TkPSM,r.+h- u,RUau a-0+.x /1M rw)_PSu\TU+.R A /1-*Z,-0+.xclaSR*r.WVPd-U-U/]_rP<Tk/1aSM) WWW  )$A

CDAEA v a`u_PSRU/^-UaM aScTk),++hgiZ,PSWY+.R0RUaR*RUPdTk+h-mclaR*nO PSM,x v nO claRmx,/7M!+hRU+hMT

-UZ,24PN-kPd`ju,W^/1M,p c PSrhTUaRU-VI(*),+]_RU-€T rhaW1Z\`jM -0),a< -3TU),++.R0RUaR*RUPdTk+h-3aS2\TwPS/^M,+.x

Z,-U/^M,p Tk)\+x\/1-0TkPSM,rh+ PdcTk+hR` PdTUrw),/1M\p PS-oTk),+ rhWVPS-0-U/^],rPdTU/1aMu_PdRkPS`+hTU+.RPSM\x

Tk),+ -U+hr.aM,x rhaW1Z\`jMfx,/1-0u,WVP4i-QTU),+b+hRUR0aRRUPdTk+h-a2\TkPS/1M\+.x#Z\-U/1M\p Tk)\+m)_PSR0`jaM\/1r

`j+.PSM aScQ-U+ S+.RUPSW-U/1`/1W1PSRU/TN4 `j+.PS-UZ\RU+.- PS-mTU),+qr.WVPd-U-U/]_rP<Tk/1aSM u,PSRkPS`+hTU+.RV



) C

CDA$C v a`u_PSRU/^-UaM adc TU),+ +.gZ_PSW +.R0RUaR RUPdTk+h- claR nO PSM\x v nO /^Tk) PSM\x

/^TU),aZ\T M,aS/1-U+qPdx,x,+.x Tka Tk)\+f-0/1pM,PdTkZ,R0+.-V WWWWWWBWWW



z 

v

a`u,Z\TwP<Tk/1aSM Tk/1`+oaScQ+Pdrw)`asx,Z\W1+oaScETk)\+f-€4i-0Tk+h` DWWWBWWW AE?

z

z

}

TwP<Tk/1rqPdM,x x\4iM_PS`/1rRU+h-UaW^Z\Tk/^aM aScQTk),+q-04i-€Tk+.` WWWWWBWWW C

z

z DA

}

4i-0TU+.` u_PSRUPS`+hTk+hRU-*Z,-0+.x/1M Tk),+qR0+PSWP Tk/^`j+ /1`u,W1+h`j+hM5TwPdTU/1aM)6BWWW CGA

z

HC v a`u_PSRU/^-UaM aScsTU),+I+.R0RUaR RUPdTk+h- aSciu:aS/1M5T>PO /1-U+/1M!3x,+hTU+.rtTk/1aSMfaS2\TwPS/^M,+.xqZ,-0/1M,p

Tk),+qW^asr.PSW!`+PS-0Z,RU+h`j+hM5Tk-3PSM,x Tk),+WI `asx\+.WO WWWWBWWW C @

z

@

v a`u_PSRU/^-UaM adc TU),+ +.RUR0aR RkP<Tk+.- aSc -0TURUaG!d+rhWVPS-0-U/]_rPdTU/1aM aS2\TwPS/^M,+.x Z,-0/1M,p

B 9

& # Ao'S A.

+hR TU),+ u_PS-€T cl+# x,+hrPSx\+.-.y + )_P + /^TUM,+.-0-U+.x Tk),+ 2,/^R0TU) PdM,x x,+ S+.W1aSu,`j+hM5TaScfTk)\+

r.aS`ju,ZsTk+.R /1M,x\Z,-0TUR04G W1aM,pW /^TU) Tk),+ + aSW1Z\TU/1aM adcr.a`u,Z\TU+.R TU+.rw),M\aW1apd4ysTU),+.R0+o)_PS-b2:+h+.M

Pr.aSRURU+h-Uu aM,x,/^M,p+ SaW1ZsTk/1aSM aSc*Tk),+ /^M5Tk+.R€c PSr.+h- 2:+tT b+h+.M )Z,` PdM,- PSM,x `jPSrw),/^M,+.-VGLNM Tk)\+

+PdRUW^4 x,P 4i-hymTk),+ Z,-U+hR

|

aRjaSu:+hRkPdTUaR

‚

)_PSx TkaGPSrhTU/dPdTU+rh+.R0TkPS/1M -> /Tkrw),+h- /1M PGu,PSR0TU/1r.Z\WVPSR

-U+hgZ,+.M,rh+/^M aR0x,+.RTUaPSrw),/^+ + Px,+h-U/^RU+.x PdrhTk/^aM) TPdTk+hR.yATU),+ /1M,u\Z\T bPS- u,RUa i/1x\+.x /^TU)

u,Z,M\rw)Gr.PSRUx,-fPSM\x TU),+ aZ\TUu,Z\T+bPS-q+#XiTkRUPSrhTU+.x /^Tk)u,PSu:+hRoTwPSu +.-V -q`jPSrw),/^M,+.-+ aW+.x!y

Tk)\+h4 +.R0+rhaM,M,+hrhTU+.x Tka !S+t4s2 a5PSR0x,-.y

v

e( -fPSM,x `aM,/^TUaRU-3Tka u,R0a i/^x,+

RU+.PSW7PCTk/^`j+ TU+#XiT

/1M\u,Z\T PSM,x aZ\TUu,Z\T" aSRU+R0+.r.+hM5TkW^4Sy PSx dPSM,rh+.- /^M`+.`aR04Sy i/1x,+ha PSM,x `/1rhRUau\RUair.+.-0-UaR

Tk+hrw),M,aW^apS4f)_P +mPSW1W^a +.x r.a`u,Z\TU+.R0-QTka +.M5Tk+hRA/1MfTk),+ +.RUP aSc_pRUPSu,),/^rPSW/^MTU+.R€c PSr.+h-/1M SaWi/1M\p

P )\aW1+ -U+hT aSc'u a/1M5Tk/^M,p x,+

i/^r.+.-|

W1/8!S+f`j/^r.+dy:x,/^p/^TU/%$h/1M,pTkPS2,W1+tTk-hy0a 4i-0TU/1r !-.y!TUaZ,rw)DP

-UrhRU+.+hM,-PSM,x TkRUPSr !GPN2_PdW1W1- ‚ PSM,x pRUPSu,),/^rPSW:Z,-U+hR /^MTU+.R€c PSr.+h-"

(Q+hrw),M,aW^ap/^rPSW5Pdx dPSM,r.+h-Q/^Mq`j/^M,/VPdTUZ,RU/8$PdTU/1aM3aSc\+.W1+hrhTURUaM,/^rIx,+ i/^r.+.-E/1MoTU),+ WVPS-€TYcl+V

4S+PSR0-)_P +qau +.M\+.x P M,+V` PSR>!S+tTmclaRmu aR0TkPS2,W^+or.a`u,Z\TU+.R0-";TPSu\TkaSu PSM,x M,aSTU+.2

asaG!r.aS`ju,ZsTk+.R0-PS- +.W^WIPS-qOQ+hRU-0aM_PSW'no/^p/^TkPSW

-U-0/1-€TwPSM5Tk-|

O n

-‚

W^/%!d+#Tk),+ u au,Z\WVPSR OPSW^` OI/1W^aST PSRU+ /^M

/1x\+ Z,-U+ M\a bPSx_P4i-"

v

+.W^W1Z,W1PSRfu,),aM,+ `jPSMZ\c PSrtTkZ,R0+.R0- PSRU+ PSx,x,/^M,pr.aS`ju,ZsTk/1M\pu:a< +.R /^M

Tk)\+./1RqM,+# p+.M\+.RkP<Tk/1aSMGaScbu,),aM\+.-.y+p^y

}

u,R0/1M5Tf-0TwPdR0Tk+hx aM:+.R0/1M,p LNM5Tk+hRUM,+tT PSrhr.+.-0-Z,-0/1M,pP

r.+hW1W^Z,WVPSR#u,),aM,+ /1M `/1xDP  ?E?E?syZ,PSW1rha` /^-jPdx +hR0Tk/^-U/^M,p P x,+ i/1r.+ Tk),PdT/1- P O n

PSM,x P

r.+hW1W^Z,WVPSRQu,),aM\+ P<T TU),+*-kPd`j+*Tk/^`j+dy+hTUrA(*)\+3TURU+.M\xj/^M,x,/1r.PdTk+h-ATk)_P<T'`jaR0+*r.a`u,Z\TU/1M,pu a<b+hR

/1W^WI2:+ju_PSr !d+.x /1M,-0/1x,+-U`jPSW^W1+.RfPSM\x +Pd-U/1+hR TUarPdRUR04 x,+ i/1r.+h-"(*)\+ Z,WTk/1`jPdTU+ u:aR€TwPS2\/1W1/TN4

aZ,W1x2:+#PSrw),/^+ +hx /^TU)-0a:PNr.PSW1W^+.x b+.PSRkPd2,W1+ r.a`u,Z\TU+.RU-V (*),+.-0+r.aS`ju,ZsTk+.R0- aZ,W^x2 +

aRUMYy3`Z,rw) Pd- +h4S+.pW1PS-U-0+.- aR rhW1aSTU),/1M\p PSR0+ baSRUMYy3PSM,x aZ,W^x /1M5Tk+hRkPSrtT9 /^TU)Tk)\+Z,-U+hR

2_PS-0+.x aMTk)\+rhaM5Tk+ XsTfaSc'TU),+ -U/TkZ_PdTU/1aM OQPSR0Tqadc TU),+ -UZ,rhr.+h-U-faScb-0Z,rw) r.a`u,Z\TU+.RU- aZ,W^x

PSM,x +hW1+.rtTkR0aM,/1r9bPdTUrw),+.-V (*),+h-U+ x,+ i/^r.+.- )_P S+`jPSx,+ TU),+./^R mP4 /^MTUaTk),+ + +.R€4ix_P4 W^/^cl+

aSc`/1W^W1/^aM,-aScou:+hau,W1+ ),a x\+.u +.M,x aSMTk),+h` PSM,x +PSRTk),+h` /^Tk)\aZ\Tj+ +hM M,aSTU/1r./^M,p

M\aSTk),+hR gZ,+h-0TU/1aM Tk)_PdT /1W^W P:M:+.rtT TU),+ -0Z,r.rh+.-0-oaSc +PdRkPS2,W^+ rha`u,Z\Tk+hRU-3/1- ),a<

-0/1`u,W1+/^-Tk)\+f/^M5Tk+.RUPSrhTU/1aM9 /Tk) Tk)\+fx\+ i/1rh+ (*),+q)Z,` PdMDPN`jPSrw),/^M,+/1M5Tk+hR0cPSrh+qPS- /^T*u\RU+.-0+.M5TkW4 +#Xs/1-€Tk-hy

/O+y[2_PS-0+.xaM !S+t4i2:a5PdRUx,-PdM,x-0r.RU+h+.M,-hy!/^-32 +.rha`/1M,pjPj`/1M,/1PdTkZ\RU/%$.PdTk/^aM 2 aST0TkW1+hM,+.r ! -0/1M,rh+

Tk)\+R0+.-UaSW1Z\TU/1aM aScoTU),+)Z,`jPSM +h4+W1/1`/^TU-#Tk)\+-0/%$.+aSc TU),+-0r.R0+.+.M!y PSM,x

TU),+x\/1`+.M,-0/1aM,-aScoTU),+ ]_M,p+hRU- W^/1`/^T#TU),+`/1M\/1`Z,` -U/8$.+ aSc+!S+t4i2:a5PdRUx,- PdM,x`/1rh+

(*),+hRU+hclaSRU+SymTU),+.R0+/^-P M,+h+.x claR )Z,`jPSM,- TUa r.a``Z,M,/^rPdTU+ /Tk) r.aS`ju,ZsTk+.R0- /1M PdW^Tk+hRUM_P<Tk/S+ bP4s-hy Tk),PdT PSR0+

`aRU+q/1M5TUZ,/^TU/+qPdM,x/^M aW+f-U`jPSW1W^+.Rm)_PdRUxAbPSRU+

|

/^x,+PdW1W^4j-U`jPSW^W1+.RmTU)_PSM



rh`

‚

(*),+.R0+PSR0+

PSW^RU+Pdx\4-UaS`j+PdT0Tk+.`u\TU-qTUaa S+.RUrha`+TU),/1-q/1M5TU+.R0c Pdr.+ `j/^M,/VP<TkZ,R0/%$P<Tk/1aSM2 aSTUTUW1+.M\+.r !N

}

aSM4

/1-mPSx +hR0TU/1-U/^M,pPr.a`u,Z\TU+.R*/^M Tk),+oclaR0` aScQP`aM,air.W^+o),+Pdx,-U+tTy_/1M9 )\/1rw) P `j/^M,/7P `jaM\/^TkaSR

x,+tTwPSrw),+h-oclRUa` TU),+#),+.PSx,-0+hTqPSM\xr.a +hRU-aM\+#+h4S+(*),+#r.a`u,Z\TU+.R -0r.R0+.+.M/^- x,/^-Uu,W1P4+.xaM

Tk)\/1-3`jaM\/^TkaSR3 )\/1W1+ P+0a 4i-0TU/1r !GP TN4iu +x,+ s/^r.+ /1- Z\-U+.xTka u,R0a s/^x,+#/^M,u,Z\T" PSM54O'n - Z,-0+

P -0TN4iW1Z,-3/1M\-0Tk+.PSx aScIP!S+t4s2 a5PSR0xPS- /^M,u,Z\T3x,+ s/^r.+dy R0+.x,Z\r./1M\pjTk)\+frha`u,Z\Tk+hR - -0/%$h+ P<T -0a`+

+#Xsu +.M,-0+j/^MTk),+TU),RUaSZ,p),u,ZsTqaSc TU),+ /1M\u,Z\T+hW1+.`+.M5T" nPdTwPj/1-qPSrhgiZ\/1RU+hx 24Tk),+ rha`ju\Z\Tk+hR

254 TkRkPdr !i/^M,p Tk),+ `jaSTU/1aM aScQTk),+f-0TN4iW^Z,- aMP [P<T3TUaZ,rw)DP -U+hM,-U/Tk/S+#x,/^-Uu,W1P4? ),/1rw)u,RUa

i/1x,+h-/1``+.x,/1PdTk+pRUPSu,),/^rPSWYcl+h+.x,2,PSr ! TUajTU),+ Z\-U+.RV (*)\+.-U+O n -oPdr.r.+hu\To/^M,u,Z\T3/^MTk)\+fclaR0` aSc

rw)_PSRUPSrhTU+.R0-oPSM,x u +.MpS+.-0TUZ,RU+h- PdM,xTU),+./^R*u:+hR0claR0` PSM\r.+q),+P i/1W4 RU+hW1/^+.- aMPrw)_PdRkPSrtTk+.R Fdu +.M

p+h-0TkZ\RU+fRU+.rhapM,/ Tk/^aM +.M,pS/1M,+:

(*),+x\+ +hW1au\`j+hMTjaSc M,a +.W PSM,x clRU/^+.M,x\W^4 )Z,`jPSMDP ` PSrw)\/1M,+ /^MTU+.R€c PSr.+h-j/^-rhRUZ,rh/VPSWmclaSR

+#XiTU+.M,x,/^M,p TU),+ Z,-U+ aSc,rha`u,Z\Tk+hRU- Tka PSW^W5-U+.pS`j+hMTU-Qadc,-Uair./^+hTN4fPSM\xfTUa

PSW^Wr.Z\W^TkZ\RU+.-|

+h-Uu +.rh/VPSW^W^4

Tka TU),+ aM,+.-qTk),PdTqx,a M,aSTq)_P +jP -UZ,/TwPS2,W^+ PSW^u,)_PS2 +hTclaR+hM5Tk+.R0/1M,p Tk+ XiT i/1P P !S+t4i2:a5PdRUx ‚

W^-Ua,yiM,+# /1M5Tk+hR0cPSrh+.-- /^W1W[PSW^W1a<TU),+oPdr.gZ,/1-0/^TU/1aM aSc `jPdTU),+.`jPdTk/^rPSW,claSRU`Z,W1PS-.y5),PSM,xDP x,RkP& M

]_pZ\RU+.-hy!->!S+hTUrw),+.-hy+hTkr: I3Z,`jPSM,-oPdr.gZ,/1R0+#/^M\claRU`jPdTU/1aM clR0a` Tk),+ +#XiTk+hRU/1aSR aRUW^x254 Z,-U/^M,p

Tk)\+./1R

-0+.M,-0+.-|

PSZ,x,/Tk/^aMYy i/1-0/1aMYy aWc PSrhTU/1aM!y.TwPSrtTk/^W1+Sy<PSM\xfTkPS-0TU+

‚

I a< + +hR.y-0asrh/VPSWS/1M5Tk+hRkPSrtTk/1aSM

PS`aM,p )Z,`jPSM,-q/1-r.PSRUR0/1+.x aZsT `jPS/^M,W^4 Tk),R0aZ,p) Tk)\+jPdZ,x,/1a rw)_PdM,M,+.W

|

PSZ,x,/Tk/1aSM ‚ PSM,x Tk)\+

i/1-0Z_PSW rw)_PSM,M\+.W

|

i/1-0/1aM

‚

}

u +.+hrw) PSM,x `#Z,-U/^rPdRU+ Tk),+ ` Pd/1M r.a`u:aSM,+.M5Tk-aScoTU),+PSZ,x,/^a

rw)_PSM\M,+.W>y4 ),/^W1+ )_PSM\xYyic Pdr.+ PSM,x 2 aix\4 p+.-€TkZ,R0/1M,p\yi),PSM,xA R0/^Tk/^M,p PSM,x x\RkP& /1M,p PSR0+3TU),+ `jPS/1M

x,air.Z,`+.M5TU-B )\/1rw)GPSRU+ PS2\W1+#TUa R0+.u,R0+.-0+.M5T+h`jaSTU/1aM\-" S asx\4u:aS-U+ TkRUPSr !/1M,p? /1W^WQc PSrh/1W^/^TwP<Tk+

Tk)\+ x,+ +.W^au,`+.M5T aSc /1``+.RU-0/1M,p

z >iy CEC -0+.R0-m` P4 `a +3clRU+.+hW^4

/^TU),/1M +.M i/1R0aM,`+.M5Tk-hy!R0+PSrw)aSZ\ToPdM,xTUaZ,rw)a2 0+.rhTU-.y:/1M5Tk+hRkPSrtT6 /Tk)P dPdTkPSRU-hy i/^R0TkZ,PSW)iZ4P

`jPSM,- PSM,x aSTU),+.R PSpS+.M5Tk-hy_+hTkr:;Sbasxs4 TkRUPSr !/1M,pE /1W^WYPSW^-UaPSW^W1a< 2,Z,/1W^x,/1M\p`jaix,+hW1-maScQ)Z,`jPSM

`aSTk/^aM Tka 2 +fZ\-U+.x claR*R0+PSW^/1-0TU/1rorw),PSRkPSrtTk+hR PdM,/1`jPdTk/^aM

A



I PSM\xA RU/Tk/1M\paM u_Pdu:+hR#/1- aM,++.R€4 /^`ju aR0TkPSM5TbP4 adc r.a``Z,M,/^rPdTU/1aMGPS`aM,p)iZ4P

`jPSM,-"OQ+hau,W1+b-U+.M\xu a-€TkrPdRUx,-AaSRAW1+tTUTk+hRU-A/^MaR0x,+.RETka+!S+h+.u /1M TkaZ,rw)E /Tk)#clR0/1+.M\x,-IPSM,xc Pd`P

/1W4GQ(*),+h4 Z,-U+oTU/1M54u:a-€T>P /^T M,aSTk+h-bTka#RU+.`+.`#2:+hRbr.+hR0TkPS/1M x\Z\Tk/^+.-maR WVPSR0p+ u,PSx,-maSc ,/1uDP rw)_PSR0T

u_PSu +.RETka -kP +m/^x,+Pd-x,Z,R0/1M,p 2,RkPd/1M,-€TkaR0`j/^M,p `j+h+hTk/^M,p-VQ(*),+t4#R0+PSx#2:aiaG!-.ydM,+V -0u_PSu +.RU-'PdM,x

`+.`a-"

v

)_PSM,rh+.-qPSR0+ TU)_PdT34aZ PSR0+#R0+PSx,/^M,pjTU),+.-0+ baSRUx,-oaSMu_PSu +.RV (*),+hRU+hclaSRU+Sy:x,+.-0u,/^TU+

Tk)\+ rhWVPS/^`j-IPd2:aZsTITk),+ u_PSu +.R PNW^+.-U- qaFr.+Syi/1ME ),/^rw) /^M\claRU`jPdTU/1aMaSMju_Pdu:+hR /^-'RU+.u\WVPSrh+.x24

/1MsclaRU`jPdTk/^aM aMTU),+#-0r.RU+h+.M aSc'Pjr.a`u,Z\TU+.R.y b+ ]_M,xTU)_PdTou,PSu:+hR /^- Z,-0+.x PS- `Z,rw)Yy:/^cIM,adT

`aRU+'Tk)_PdM2:+tclaRU+: I3a<b+ +.Rhy+.W1+hrhTURUaM,/^r x\asrhZ,`j+hM5Tk-u\RUa i/1x,+bP MZ,`2 +.Radc_u,RUaSu:+hR0Tk/^+.-Tk)_P<T

PSR0+WVPSr !/1M\p/1M u_Pdu:+hR*x,asrhZ,`+.M5Tk-hy_-UZ,rw)PS-*-Uu +.W^W1/^M,pr.aSRURU+hrhTU/1aMYys+.W^+.rhTURUaM\/1r`jPS/1W>y4!d+h4 aRUx

-U+.PSRUrw)\/1M,p,y_MZ,`+.R0/1r.PSWYrPdW1r.Z\WVPdTU/1aMYyTk/^`j+ PN-€TwPS`u,/1M\p,y\PdM,xW1PSM,pZ,PSp+ TURkPSM,-0WVPdTU/1aM

M PdW^Tk+hRUM_P<Tk/S+ TkaGTU),+ RU+.u\WVPSrh+.`+.M5T adcaM,+ TN4iu:+aScx,air.Z,`+.M5Tj254 TU),+adTk),+hRj/^- TUa

PSZ,pS`j+hMT TU),+ u\)4i-0/1rPdW aRUW^x /Tk) r.a`u,Z\TU+.R0-"m(*),+ no/1pS/^TwPdWYno+.->!

{

y>$?

x,+ +.W^au +.xP<T

o+hRUa&X O

e v `j+hRUp+h-*u,)54i-U/1r.PSWYa2

0+.rhTU-|

u_PSu +.RmPSM,x u:+hM,r./^W1- ‚ /^TU) Tk),+h/1Rm+hW1+.rtTkR0aM,/1r r.aZ,M4P

Tk+hRUu_PdR0Tk-*Z\-U/1M\pr.a`u,Z\TU+.R i/1-0/1aM PSM,x i/1x,+ha u,RUa 0+.rhTU/1aM r.a`u,Z\TU+.Rm-0r.R0+.+.M /1-bu,RUaL0+hrhTU+.x

aM5Tka P u,)54i-U/^rPSWx,+.->!Z,-U/^M,p P i/1x,+ha u,RUaL0+hrhTUaR.y) ),/^W1+#P r.PS`+.RkP /^-o-U+tTqZ,uTka9bPdTkrw) Tk)\+

aR !-Uu,PSr.+ -UZ,rw) Tk)_PdT*TU),+q-UZ,R€cPSr.+qaScETk)\+fu\RUaL0+hrhTk+hx/^` PSpS+PSM,x Tk)\+f-0Z,R0cPdr.+faScQTU),+q/1`jPSp+

PSR0+P r.a/^M,r./^x,+

TwPS2\W1+hT x\/1p/Tk/%$h+.R aR3P ]_M\p+.R*TkRUPSr !S+hx254 Tk)\+fr.PS`+.RkP

 >iy  /1-*Z,-0+.xTUa

/1M\u,Z\T`aZ,-0+#P TN4iu + aSc /1M\claR0` P<Tk/1aSM/1M5TUa Tk),+ -€4s-€Tk+h`PSW1W^a /^M,p aSM,+Tka -U+hW1+hrhTqaRo)\/1p),W^/1p)5T

aRUx,-#aM u_PSu +.R x,air.Z,`+.M5Tk-hyIr.Z\T PSM,x u_Pd-0Tk+ju:aSR0Tk/^aM,- aScmTk+ XiTyIx,RUP< ]_pSZ,RU+h-.yA+tTkr(*),+

T /S+.2 a5PSRUx

z

A

x,+ +hW1au +.x 24 +.R0a<X /^- -U/^`j/^WVPSR /1M r.aM\r.+.usTjTUa TU),+ x,/1p/TwPSW

x,+.->!N(*),/^-x,+ s/^r.+ /^- Tk)\+RU+hu,WVPSrh+.`+.M5ToclaR3Tk),+#u_PSx,-aSc ,/1uDP rw)_PSR0T u_PSu +.RoZ\-U+.x /^M`j+h+hTU/1M,p-V

rha`P

u,Z\TU+.Rm-0r.R0+.+.M /1- u,RUa 0+.rhTU+.x aM5Tka PH )\/^Tk+h2:aPSRUx PdM,x Pr.aR0x,W1+h-U-*u +.M /^-bZ,-0+.x PS-m/^M,u,Z\T"I(*),+

-kPd`j+m/^` Pdp+ rhaZ,W^x 2:+mx\/1-Uu\WVP4+hxaSMTUa2:aPSRUx,-u,WVPSrh+.x PdTx,/8M:+.R0+.M5T'W1airP<Tk/1aSM,-PdM,xTk),+b/1M,u,ZsT

aScbu_PSu +.Rfx,asrhZ,`+.M5Tk- /1M5Tka Tk),+r.aS`ju,ZsTk/1M\p+hM i/^RUaM,`+.M5T#PSM,x Tka<mPdRUx,-fTk),+x,+ S+.W^au,`+.M5T

aScQ)_PSM,xD RU/^TU/1M,pLPN2_PS-0+.x )Z,`jPSMDPNrha`u,Z\Tk+hR*/1M5Tk+hR0cPSrh+.-V

(*),+qx,+ S+.W^au,`+.M5T aScQPSM /1M5Tk+hR0cPSrh+ Tk),PdT PSZ\TUa`jPdTk/^rPSW^W^4PSrhgiZ\/1RU+h-*)_PSM,xD RU/^TU/1M,p#Z,-U/^M,p P

i/1x,+ha r.PS`j+hRkP PSM,x#rha`u,Z\Tk+hR i/^-U/1aSMfTU+.rw),M,/^gZ,+.-A),PS-M,adTQ2 +.+hM PSx,x\RU+.-0-U+hx /1M TU),+ W1/^TU+.RUPdTkZ,R0+

(*),/^- /1M5Tk+hR0cPSrh+ aZ,W^xq2:+ S+.R04q-0` PdW1WS-0/1M,rh+'/^T) aZ,W^xfaSM,W^4 RU+.gZ,/^RU+'P*rPd`j+hRkP PS- /1M\u,Z\Tx,+ s/^r.+dy

RU+hx,Z,rh/1M,pfTk),+3r.W^Z\TUTU+.R'Z,-UZ,PSW1W4 PSx,x,+hx Tkafx,+h- !5Tkau r.a`u,Z\TU+.RU- 254 TwPS2,W^+hT x,/^p/^TU/%$.+hRU-'PSM\xclZ,W^W7P

u_PSpS+3-0rPSM\M,+.R0-"'(*),/1-'/^MTU+.R€c PSr.+' aZ,W1xjPSW^W1a< Tk),+ Z,-0+.R'TkaB RU/^TU+*aMjPfu,/^+.rh+3adcYu_PSu +.RJ /Tk)P

M,aR0` PdW!u +.MYy_+hW1/1`/1M,PdTk/^M,pfTU),+RU+hgZ,/1R0+.`+.M5T3aSc RU/^TU/1M,p /Tk) -€TkRkPdM,p+q-0TN4iW1Z\-3aSMP-0W1/^u,u:+hR04

u,W1PS-0TU/1rb-0Z,R0c Pdr.+ r.aS`ju,W^+hTU+bu +.MDP 2_PS-U+hx /1M5Tk+hRkPSrtTk/1aSMH /^TU)#Tk),+br.a`u,Z\TU+.RArhaZ,W1x#2:+mx\+ i/1-0+.x

/^TU)#Tk)\/1-A/^MTU+.R€cPSr.+ -U/1M\r.+*/1M#PSx,x,/Tk/^aM TUa)_PSM,xA R0/^TU/1M,p `jaZ\-U+#PCTN4iu:+mrha`` PSM\x,-.yu,PS-U-

baR0x,-/1M TU),+claRU`"aSc-0/1pM,PdTkZ,R0+.-hy_x,RkP& /1M\p-.y_+tTkry_r.aSZ,W1x 2 + Pdr.gZ,/1R0+.x)

LNM TU),+ ],RU-0Tju_PSR€TaSc TU),/1- Tk)\+.-U/^-.y +u\RU+.-0+.M5T TU),+ x,+.-0/1pM PSM,x /1`u,W1+h`j+hMTkPdTk/^aM aScoP

)Z,`jPSMDPNrha`u,Z\Tk+hR*/1M5Tk+hR0c PSrh+claR PSr.gZ,/^-U/Tk/1aSM aSc),PSM,xA R0/^Tk/^M,p Z,-0/1M,pP -U/1M\pW1+or.PS`+.RkPDI(*),+

/1M\u,Z\T /1M5Tk+hR0cPSrh+ r.aSM,-U/^-0Tk-baScP#r.PS`j+hRkP\ysP u\/1+.rh+ aScu,PSu:+hR.ysPSM,x P M,aRU`jPSW[u +.M)I(*),+ rPS`+.RUP

clair.Z,-0+.-3aM Tk),+q-U)\+.+hT3aScQu_PSu +.R3PSM\x/^` PSpS+.-bTU),+q)_PSM,x? RU/Tk/^M,p@\rha`u,Z\Tk+hR3PSM_PSW4s-0/1-*aScETk)\+

RU+h-UZ,WTk/^M,p -U+.gZ,+hM,r.+#aScA/^` PSpS+.-*+.M,PS2,W1+h-3TU),+qTkRkP<0+.rhTUaR04 adcQTU),+ u +.M Tka2:+TURkPSr !d+.xPSM\xTk)\+

Tk/^`j+h-= ),+.M Tk)\+fu +.M /1-*/^M r.aM5TwPdrhT3 /^TU) TU),+qu_PSu +.RmTka2 +x,+hTU+.rhTU+.x)

(QRUPSr !/1M,pTU),+ u a-U/Tk/1aSM aSc Tk),+ u:+hM TU/1u /^M,-0TU+PSx aSc*TkP!/1M,p P-€Tk/^W1W u,/1rtTkZ,R0+ aSc Tk),+ /1M!

TkRUPSr.+ W^+hcTaM Tk)\+u,PSu:+hRq-U+.R+h-fT au,Z\RUu a-U+h-"X/1R0-0T.y `jaR0+ /1M\claSRU`jPdTk/^aM/^-u,RUa i/1x,+hx TUa

Tk)\+),PSM,xA R0/^Tk/^M,p RU+hr.apM\/^Tk/^aM +.M,pS/1M,+ -0/1M,rh+TU),+ x\4iM_PS`/1r.-qaSc- RU/Tk/1M\p /1-qrPSusTkZ,R0+.xGPSW1aM\p

/^TU) Tk),+),PSM,xA R0/^TUTU+.M TkRUP 0+.rtTkaR€4G

}

+hr.aM,x!y,RU+hr.apM\/^Tk/^aM rhaZ,W1x 2 +ou +.R0claSRU`+.x PS-mTU),+Z,-U+hR

RU/Tk+h-*u,RUa i/1x,/^M,p 2 +hTUTU+.R `jPSMDPN`jPSrw),/^M,+ /^M5Tk+.RUPSrhTU/1aM PdM,x P -0/1`u,W1+hRb-0+hTUTU/1M,p claRbr.aR0RU+.rtTk/^M,p

RU+hr.apSM,/^TU/1aM +hRURUaSRU-"

(*),+3-U+.rhaM,xju_PSR0T'adc:TU),/1-ATU),+.-0/1-'/1-Ix,+ aSTU+.xTkaqx,+ S+.W^au,/1M\p#PSMPSZsTka`jPdTk/^rm/1x\+.M5Tk/]_rPdTU/1aM

-04i-€Tk+.`Z,-0/1M,p TU),+ rPS`+.RUPLPN2_Pd-U+.x /1M5TU+.R0cPdr.+ claR)_PSM\xA RU/Tk/1M\p rPSu\TUZ,RU+: -0/1pM,PdTkZ,R0+ aRqP

-0TURU/^M,p aSc3rw)_PSRkPdrhTk+hRU-baSZ,W1x 2 + rPSu\TUZ,RU+hx254 TU),+ /1M5Tk+hR0cPSrh+ claRu +.R0claSRU`/1M,p S+.RU/]_rP<Tk/1aSM

aScmTU),+ rhWVPS/^`j+hxG/^x,+.M5Tk/TN4G

}

/1pSM_PdTkZ\RU+.-#PSRU+jRU+hp5PSRUx\+.x /1M Tk),+jW1/Tk+.RUPdTkZ\RU+

C



Pd-#Tk),+jRU+h-UZ,WT

aSc'P 2_PSW^W1/^-0Tk/^rPSrtTk/1aSMYy /^Tk)\aZ\T PSM54 s/^-UZ_PdWcl+h+.x,2,PSr !/^M aW+.x 3I +.M\r.+Sy b+ Z,-U+

r.aS`ju aM,+hMTadc,Pmrha`ju\W1+hTU+ i/1-UZ,PSWu +.MDP 2_PS-U+hx rha`u,Z\Tk+hR +.M i/1R0aM,`+.M5Ty< ),+hRU+'Tk),+I-0/1pM_P<TkZ,R0+

r.aSZ,W1x R0+.u,W1PSr.+TU),+u_PS-0-> aRUx claR W^ap/^M,- /^MTUa r.aS`ju,ZsTk+.R -€4i-0Tk+h`j- aR u:+hRU-UaSM_PSWoLNM5Tk+hRUM,+tT

PSrhr.aZ,M5TU-" +.PS-UZ,R0/1M,pTU),+ -U/^`j/^WVPSR0/^TN4 2 +hT +.+.M -U/^pM_PdTUZ,RU+h- /1M aR0x,+.RTUax,+hTU+.rhT

claR0p+.R0/1+h-/1M SaWS+.-Tk),+ rha`ju,PSRU/^-UaMaSc T a T a:PNx\/1`+.M,-0/1aM_PdWAr.Z,R+h-"jOPSR€TqaSc TU),+ r.aM5TURU/12\Z\Tk/^aMaSc

Tk)\/1-*Tk),+h-U/^- /^- TU),+#x\+ +hW1au\`j+hMT aScAPM,a S+.WTk+.rw)\M,/1gZ,+fclaR r.Z,R+rha`ju,PSRU/^-UaM Tk),PdT3/1- PS2,W1+

TkaE aR ! P<T -UZ,2,-UPS`u,W1+R0+.-UaSW1Z\TU/1aM)

A A.

v )_PSusTk+.R

z

x,+.-0r.RU/^2:+h-Tk),+ x\+.-U/^pM PSM,x x\+ +hW1au\`j+hMTaSc P)iZ\` PSM4PN`jPSrw),/1M\+ /1M5TU+.R0cPdr.+jclaSR

PSrhgiZ\/1-U/Tk/^aM adco)_PSM\xA RU/Tk/1M\pGZ,-0/1M,p PG-0/1M,pW^+ rPS`+.RUPA (*),+ dPSR0/1aZ\-rha`u:aM\+.M5Tk-jaScoTk)\+

/1M5TU+.R0c Pdr.+Syi/^TU-'RU+PdW7P TU/1`+*/1`u,W1+h`j+hM5TwPdTU/1aMYySPSM,xTk),+3TkRkPdx,+#P aM!-'c PSrh+.x /^MTU),+ x\+.-U/^pM PdRU+ PSW1-0a

x,+h-Ur.R0/12 +.x)

v )_PSu\TU+.R A u,R0+.-U+hM5Tk-TU),+bx,+ +hW1au,`+.M5TaSc_P3-U/1pSM_PdTkZ\RU+ +.R0/^]_r.PdTk/^aMf-04i-0TU+.` 2,Z,/1WTQPSRUaZ\M,x

Tk)\+ rPd`j+hRkPLP 2_PS-U+hx /^MTU+.R€c PSr.+claR ),PSM,xA R0/^Tk/^M,pPSr.gZ,/^-U/^TU/1aM (=bax,/8M:+.R0+.M5Tx_P<TwPS2_Pd-U+.- aSc

-U/^pM_PdTUZ,RU+h-Jb+hRU+3r.aW^W1+.rtTk+hx /Tk) Tk),+ i/1-0Z_PSW_/^MTU+.R€c PSr.+3PSM,xZ,-0+.xjTUafPS-U-0+.-U- Tk),+ u +.R€claRU`jPSM,rh+

aSc Tk),+ -0/1pM_P<TkZ,R0+ +.R0/^]_r.PdTk/^aM-04i-€Tk+.` E + x,+h-UrhRU/12 + Tk),+ Pdu,u,W1/^rPdTU/1aMaSc TU),+Eb+hW1WP !M,a< M

`+hTk)\asxjaSc n 4iM_PS`/1r3OIRUaSpRkPS``/1M,p P<Tkrw),/^M,p TUa#r.aS`ju_PdRU+ Tk),+ PSr.gZ,/^RU+.xj-U/^pM_PdTUZ,RU+h-" G+

PSW^-Uax,/^-Ur.Z\-U-'Tk),+*+#M!+hrhT aSc Tk),+ u_PSRUPS`+hTk+hRU/8$PdTU/1aMadc TU),+ -U/^pM_PdTUZ,RU+h-IaM Tk),+ u +.R0claSRU`jPSM,r.+

+.W1W:PS-bTU),+ `+hTU),aix Z,-U+hx Tka+ dPSW1Z_P<Tk+ Tk),+ou +.R€claRU`jPSM,rh+ PdM,x +.-€Tk/1`jPdTU+3TU),+ p+hM,+.RUPSW1/8$PdTU/1aM

+.R0RUaR*adcTk)\+f-€4i-0Tk+h`

v )_PSu\TU+.R C /1M5TURUaix,Z,r.+h- PM,a +hW PSW1pSaRU/Tk),` claR#` PdTUrw),/1M\pu,WVPSM,PSR#rhZ,R S+.-PSM,x /^TU- PSuDP

u,W^/1rP<Tk/1aSM TUa -0/1pM_P<TkZ,R0+ S+.RU/]_rP<Tk/1aSM) (*),+PSW^paR0/^Tk)\` /1-32_PS-0+.xaMTk),+ p+.M,+hRkPSWE`+hTk)\asx aSc

n 4iM_PS`/1rOIR0apRkPd`j`/1M,pPSM,x /1- PS2,W^+oTka `jPdTkrw) u,W1PSM_PSR*rhZ,R S+.- PdT3-UZ,2,-UPS`u,W1+R0+.-UaSW1Z\TU/1aM)

X/1M,PSW1W4yE/1M rw)_PSusTk+.R @ b+ -0Z,`j`jPSR0/%$.+aZ,R#r.aM5TkR0/12,ZsTk/1aSM,-PSM\x ]_M,x,/^M,p-.y'PdM,x

B B

I .& '.o

(*),/^- rw)_PSusTk+.Rjx,+.-0r.R0/12 +.- TU),+x,+h-U/^pM aScqPG-04i-0TU+.` Tk)_PdT rPSusTkZ,R0+.- 2 aSTU)Tk),+-Uu_P<Tk/VPdW PdM,x

Tk+h`ju aRUPSW PS-0u:+hrhTk-3aScQ)_PSM,xD RU/^TU/1M,p Z\-U/1M\p P -0TkPSM,x_PdRUx r.aM,-0Z,`+.R P gZ_PSW1/TN4

i/1x\+.arPS`+.RUPPd-/1M\u,Z\TQx,+ i/1rh+

v

aM +.M5TU/1aM_PdW\/1M5TU+.R0cPdr.+.-claRE)_PSM,xD

RU/^TU/1M,p3rPdu\TkZ,R0+b/^M,r.W^Z,x,+ITwPS2\W1+hTQx,/^p/^TU/%$.+hRU-PSM,x TkaSZ,rw)DPN-0+.M,-0/^TU/ +-UrhRU+h+.M,-V (Pd2,W1+tTqx,/1p/Tk/8$.+.R0-r.a`+ /1M -U+ +hRkPSW'-U/8$.+h- RUPSM,p/^M,p clRUa`

 {

r.` X  z r.` TUa A { r.` X C @ r.` /Tk)b+h/1p)5Tk- RkPSM\p/1M,pclR0a` { @ !p TUa CW!pI(*),+./^R TN4iu,/^rPSW

Tk+h`ju aRUPSW -UPS`u,W1/^M,pGclR0+.gZ,+.M\rh4

/1-zS{{

I $ PSM,x Tk)\+./1R r.a-€T RkPSM,pS+.- clRUaS`

{{ Tka;C

{{

}

+hM,-U/Tk/S+ -Ur.R0+.+hM,-mPSR0+ ` PSMZ\c PdrhTkZ\RU+.xjZ,-U/^M,pfPfx\/8M:+.RU+hM5T TN4iu + adc:TU+.rw),M,aSW1apS4A(*),+3-U+hM,-U/Tk/S+

PSR0+P /1-oZ\-UZ_PSW^W^4r.Z,-€Tka`/%$h+.xTka ],TTU),+ x,+.-0/1R0+.x -UrhRU+.+hM -0/%$.+ PdM,x

PSx,x,-zS{S{ Tka $A

{{ TUa P

`aM,/^TUaR -'u,RU/^r.+: v PS`+.RkPd-bPSR0+ Z\2,/1gZ,/TkaZ,- /1Mjr.Z,R0RU+hMTbx,+.->!5Tkau rha`ju\Z\Tk+hR -€4s-€Tk+h`j- x,Z,+ TUa

Tk)\+ox,RUaSu /1M u\RU/1rh/1M,p#PSM,x PSx SPdM,r.+h-m/1M `jPSMZ\c PSrtTkZ,R0/1M,pfTk+hrw),M,aW^apS4GI(*)Z,-hy\Tk)\+.RU+6baZ\W1x 2 +

M,a M,+.+hx Tka 2,Z\4jPSx,x,/ Tk/^aM_PSW,),PSRUxAbPSR0+ claR'Tk),+3/1`u,W^+.`+.M5TwPdTU/1aM adcYTk),+ i/1-0Z_PSW[/1M5Tk+hR0c PSrh+3claSR

)_PSM\xA RU/Tk/1M\p

(*),+rhZ\Tka:M clRU+.gZ,+hM,rh4 aSc )_PSM,xD RU/^T0Tk+hM-0TURUaG!d+.-j/1- 2:+hW1a< zd{ I $Pd-j-0),a< M /1M RU+tcl+.R P

> \y)E?sy5C



|

x,/8M:+.R0+.M5T RU+.-0+PSR0rw),+.R0-ou,R0au:aS-U+fx,/8M:+.R0+.M5T rhZ\T>P aM dPSW1Z,+h- x,+.u +.M,x\/1M,pjaM

Tk)\+fW^+ S+.W aScQ+.M,+hRUpS4 Z,-U+hxPS-3PTk),R0+.-0),aW1x aScQ-U/^pM,/]_rPSM\r.+ ‚ I( 4iu,/^rPSWr.PS`j+hRkPS-*),P S+ -0u_PdTU/VPSW

RU+h-UaW^Z\Tk/^aM aSc C

{

X )$C

{

u\/7Xs+.W^-|

RUa< -=X

r.aSW1-‚

PdM,x clR0+.gZ,+hM,rh4 aSc A

{

I6$: a-0T3rPd`j+hRkPS-3PSR0+

/1M5TU+.RUW1PSr.+hxYyE-UaTU),+jPSrhTUZ_PSW'/1`jPSp+h-f),P S+ P ` PLXs/^`Z,` R0+.-0aW1Z\TU/1aM aSc z C { X )$C { u,/X\+hW1- PdT P

clRU+hgZ,+.M,rt4adc )

{

I6$: U /+hM TU)_PdT3Tk),+qrhZ\T>P aM clRU+.gZ,+hM,rh4 aSc)_PSM,xD RU/^TU/1M,p /^-32 +.W^a<

zS{ I6$dy

aR !/1M\p PdT ) { I $Sy +#PdRU+ +.W1WPd2:a +TU),+34igZ,/1-€T clR0+.gZ,+.M\rh4 aScQ)_PSM,xD RU/^TU/1M,pA

oZ,R ],RU-0T + X\u +.R0/1`+.M5T;mPS- /1M5TU+.M,x,+hxjTUa S+.RU/ c4 Tk)_P<TbPqW1+hp/12\W1+m)_PdM,xA RU/TUTU+.MjTURkPSrh+ r.aZ,W^x

"Agent" first frame

100

200

300

400

500

600

50

100

150

200

"Agent" last frame

100

200

300

400

500

600

50

100

200

300

400

500

600

50

100

150

200

"Software" last frame

x,/7M!+hRU+.M\r.+32:+tT b+h+.M Tk)\/1-'TN4su +3aScY-€4s-€Tk+h` PSM\x r.aSM S+.M5Tk/^aM_PSW )_PSM\xA RU/Tk/1M\pfr.PSu\TUZ,RU+ x,+ i/1rh+.-

Tk)\+rhaM5Tk/^MiZ\aZ,-qTkRkP<0+.rhTUaR04TU)_PdTB +ja2sTwPS/^M 254TURkPSr !/1M\p TU),+u:a-0/^TU/1aMaSc Tk),+ u +.M Tk/1u /^M

+Pdrw) adc Tk),+o/^` Pdp+.- /1M TU),+o-0+.gZ,+.M\r.+f`Z,-0Tm2:+ox\/i/1x,+hx /1M5TUa-0TURUaG!d+.-*r.aSRURU+h-Uu aM,x,/^M,pTka#/1M!

TkRUPSr.+

|

u:+hM x,a< M ‚ PSM,x -0TURUaG!d+.-3r.aR0RU+.-0u:aSM,x,/1M\pTka `ja S+.`+.M5T3PS2 a S+Tk),+u_Pdu:+hR

|

u +.M Z,u ‚

/^TU) TwPS2,W^+hT x,/^p/^TU/%$h+.RU- Tk),+q-0TkPdTk+qaScETk)\+fu +.M

|

Z\uaR*x\a M

‚

/^-*`j+hrw)_PSM,/^rPSW^W^4j-U+hM,-U+hx)

(*),+RU+.`jPS/^M,x,+.RadcbTk)\/1-qrw)_PSu\TU+.Rf/1-aR0p5PSM,/8$.+hx PS-claW^W1a< -"

}

+hrhTU/1aM z z x\+.-UrhRU/^2:+h- Tk)\+

dPSRU/^aZ,-qr.aS`ju aM,+hMTU-#aScbTk),+j/1M5Tk+hR0c PSrh+Sy-0+.rtTk/1aSM

z

DAu,R0+.-0+.M5Tk-#TU),+ `+hTU),aixGx,+ +hW1au +.x claSR

x,+tTk+.rtTk/^M,pju +.M Z,u -0TURUaG!d+.-.y PSM\x-0+.rhTU/1aM z HC -U),a< -3Tk),+q+#Xsu +.R0/1`+.M5TwPSW!RU+.-0Z,W^TU-"

EA& $ 3'I.

X/^pZ,RU+

z

z

-U)\a -oTU),+2,W^asr ! x,/1PSpRUPS` aScITk)\+-04i-0TU+.` PSM,xTU),++#Xsu +.R0/1`+.M5TwPSWE-U+tTkZ,u (*),+

/1`jPSp+jrPSusTkZ,R0+.x254 TU),+ rPd`j+hRkP/1- -0),a< M aM Tk)\+ -Ur.R0+.+hMaSc3Tk),+ rha`ju\Z\Tk+hRTka u,RUa i/1x\+

i/1-0Z_PSWQcl+h+.x,2,PSr !Tka TU),+Z,-0+.RV#(*),+ -€4s-€Tk+h` x,ai+.-oM,adTRU+hgiZ\/1RU+ PdM4rPSW^/12,RUPdTk/^aM) (*),+ Z,-U+hR

)_PS-oTU),+ _+ X\/^2,/1W^/^TN4 aSc PSR0RkPSM,pS/1M,p TU),+ RU+hWVPdTU/S+u:aS-U/^TU/1aM\- aSc Tk),+ r.PS`+.RkP PdM,xTk),+ u\/1+.rh+ aSc

u_PSu +.RI/^M aRUx\+.RITka R0/^Tk+*rha` claR0TkPS2,W^4#PS- +.W^W_PS-ITkau,R0a s/^x,+*Tk),+*-€4i-0Tk+h` /^TU)jPrhW1+PdRA-U/^p)5T

aScETk),+qu +.M Tk/^u)

(*),+ rPS`+.RUPcl+.+hx,- P-0+.gZ,+hM,r.+aSc3/1`jPSp+.- TkaTk)\+ u\RU+.u\RUair.+.-0-U/^M,p -0TwPdp+ (*)\/1- 2,W^asr !

u +.R0claSRU`-#/1M\/^Tk/1PSW1/8$PdTU/1aMaSc*Tk)\+ PSW1pSaRU/Tk),` y/O+y/^T ]_M,x,- Tk),+j/1M,/Tk/VPdWIu:a-0/^TU/1aM aSc*Tk)\+ u:+hM

PSM,xj-U+hW1+.rtTk-bPfTk+h`ju\WVPdTU+

|

RU+hrhTwPdM,pZ,W1PSR -0Z,2,R0+.p/^aM aSc:Tk),+ /1`jPSp+

‚

r.aR0RU+.-0u:aSM,x,/1M\p TkafTk),+ u:+hM

Tk/^u) LNM -UZ,2,-0+.gZ,+hMT#clRkPS`+.-hyTU),+ u,RU+hu,RUair.+h-U-0/1M,p -0TkPSp+ )_PS-faM,W4Tk)\+ clZ\M,rhTU/1aM aScbr.Z\T0Tk/1M\p

P u,/1+hr.+faSc/^` Pdp+qPSRUaSZ,M,x Tk),+fu,RU+hx,/1rtTk+hxu a-U/Tk/1aSM aScTU),+ u +.M Tk/^uPdM,xcl+h+.x,/^M,pj/T /1M5Tka Tk)\+

M,+ XsT 2,W^asr !N (*)\+ u +.MGTU/1uTkRUPSr !S+hR#)_Pd-fTU),+TkPS- !adcb]_M,x\/1M,p Tk),+ u a-U/Tk/^aM aScbTU),+ju +.M Tk/^u

/1M+PSrw)clRUPS`j+ aScITk)\+#-U+hgZ,+.M,rh+f(*),+ 2_PSW^W1u a/1M5T x,+tTk+hrhTkaSRo]_M,x,- TU),+u a-U/Tk/^aMaScITU),+S+.R€4

+.M\xGaSc Tk),+ u +.M Tk/^uYy /O+y Tk),+ u,W1PSr.+E ),+hRU+ Tk),+ u +.M /1-/1M rhaM5TwPSrtTW /Tk) Tk),+ u_Pdu:+hRB )\+.M

Tk)\+ Z,-U+hR/1- R0/^Tk/^M,p# (*),+],W^Tk+hRo/1-oP RU+.rhZ,RU-0/S++h-0TU/1`jPdTkaR3Tk)_P<Tu,RU+hx,/1rtTk-oTU),+ u:aS-U/^TU/1aMaSc

Tk)\+ Tk/^u/1M Tk),+ M,+#XiToclRUPS`+#2_PS-0+.xaMPSM+.-€Tk/^` PdTU+ adcATk),+#r.Z,R0RU+.M5Tu a-0/^Tk/^aMYy +hW1air./TN4PdM,x

PSrhr.+.W^+.RUPdTk/^aMadcITk),+fu:+hM)3(*),+#]_WTk+.R PSW^-Ua+.-0TU/1`jPdTk+h- TU),+ `a-€T W^/%!S+hW^4 u a-U/Tk/^aMadcATk),+ u:+hM

Tk/^uclaRo`/1-0-U/^M,pjclRUPS`j+h-"qX/^M_PSW^W^4y_TU),+ WVPS-€To2,W^asr ! aSc'aZ\Ro-04i-0TU+.` rw)\+.r !-fclaSR Tk)\+ u,RU+h-U+.M\r.+

aScQ/1M!jaM Tk),+qu_PSu +.R3PdT*TU),+qu:aS-U/^TU/1aM\- ),+.R0+fTU),+qu:+hM -32,PSW1W^u:a/^M5T bPS- x\+hTk+hrhTU+.x)

|

P

‚

Pen Tip

Tracker

Pen up / down

Classifier

Ballpoint

Detector

Camera

Initialization &

Preprocessing

Filter/

Predictor

|

2

‚

X/^pZ,RU+ z z

|

P ‚ SbW1air ! no/VPdpRkPS` aScmTU),+ -€4s-€Tk+h` (*),+jrPS`+.RUP cl+h+.x,- P -U+hgiZ\+.M,rh+ aSc*/^`P

PSp+h-oTka TU),+ u,R0+.u,R0asrh+.-U-0/1M,p -€TwPSp+: (*)\/1-o2,W^asr ! /1M\/^Tk/1PSW1/8$.+h- TU),+ PSW^paRU/Tk),` PdM,x-U+hW1+.rtTk-Tk)\+

Tk+h`ju\WVPdTU+3TUa u:+hR0claR0` TU),+ TURkPSr !/1M\p aSc Tk),+ u:+hM Tk/1u A(*),+ TU/1u TURkPSr !d+.R*a2\TkPS/1M\- Tk)\+ou:aS-U/^TU/1aM

aScITU),+u +.MTk/^u/1M+PSrw) /1`jPSp+faScITU),+-U+hgZ,+.M,rh+ (*),+]_W^TU+.R u,RU+hx,/1rtTk- TU),+u a-U/Tk/1aSMaSc'Tk)\+

u +.M Tk/1u /^M M\+#XiT#/^` Pdp+(*)\+2,PSW1W^u:a/^M5Tox,+tTk+.rtTkaRq]_M,x\-qTU),+u:a-0/^TU/1aMadcbTk)\+ S+.R€4 +.M,x aSc

Tk)\+ u +.M Tk/^uYy_/O+y,Tk),+fu,W1PSr.++ ),+hRU+qTk),+fu:+hM/^- /1M r.aM5TkPSrhT /^TU) TU),+ u,PSu:+hR' ),+.M Tk),+fZ,-U+hR

/1-= R0/^TU/1M,p'XQ/1M_PSW^W^4SyiTU),+qWVPS-€T 2,W1air ! aScQaZ,R -€4s-€Tk+h`rw)\+.r !- claRmTU),+qu,RU+h-U+hM,r.+ aSc/^M! aM Tk)\+

u_PSu +.R P<T*Tk),+u a-U/Tk/^aM,-- )\+.RU+TU),+qu:+hM - 2_PdW1W1u a/^MT;bPS-*claZ,M,x)

|

2 ‚ Xsu:+hRU/1`+.M5TkPSWY-U+tTkZ,u

(*),+3/1`jPSp+*r.PSu\TkZ\RU+.xj254 Tk),+3rPS`+.RUP/1-'-U),a< M aSMTU),+ -Ur.R0+.+hM aSc!TU),+3r.a`u,Z\TU+.RITkafu,RUa i/1x\+

i/1-0Z_PSWQcl+h+.x,2,PSr !Tka TU),+Z,-0+.RV#(*),+ -€4s-€Tk+h` x,ai+.-oM,adTRU+hgiZ\/1RU+ PdM4rPSW^/12,RUPdTk/^aM) (*),+ Z,-U+hR

)_PS-oTU),+ _+ X\/^2,/1W^/^TN4 aSc PSR0RkPSM,pS/1M,p TU),+ RU+hWVPdTU/S+u:aS-U/^TU/1aM\- aSc Tk),+ r.PS`+.RkP PdM,xTk),+ u\/1+.rh+ aSc

u_PSu +.RI/^M aRUx\+.RITka R0/^Tk+*rha` claR0TkPS2,W^4#PS- +.W^W_PS-ITkau,R0a s/^x,+*Tk),+*-€4i-0Tk+h` /^TU)jPrhW1+PdRA-U/^p)5T

aScETk),+qu +.M Tk/^u)

"!#! $%

clRkPd`j+h-"I(*),+hRU+ PSRU+oT a u a-U-0/12,W^+-Urh+.M_PSR0/1a-



Pj(*),+qZ,-0+.R3 RU/Tk+.-' /Tk) P u:+hM TU)_PdT /1-*cPS`/1W^/VPSRITUa TU),+q-04i-0TU+.`

z P

MZ,MA!iM\a Mu:+hM/^-*Z,-U+hx)

(*),+#c PS`/1W^/VPSR PNu +.M r.PS-U+/^- +.PS-04 Tka ),PSM,x,W^+ mTk)\+#-04i-€Tk+.` ` P4 Z,-0+ P u,R0+ i/1aZ\-UW^4 -€TkaR0+.x

Tk+h`ju\WVPdTU+ R0+.u,R0+.-U+hM5Tk/1M\pTk),+ u:+hM Tk/^u PSM,x x,+hTU+.rhTm/^Tk- u a-U/Tk/1aSMj/^M Tk),+ /1`jPSp+ 254 rhaRUR0+.W1PdTk/^aM)

(*),+.R0+oPSR0+3P MZ,`2 +.R aScY`+hTU),aix,-ITkaf/1M,/Tk/VPdW1/%$h+ TU),+3-04i-0TU+.` ),+.MTk),+3u:+hM /^- Z\M!M,a< M)

oZ,R#/^M,/^TU/VPSW^/%$.PdTk/^aM`+hTU),asxG/1- P-U+h`j/P PSZsTka`jPdTk/^raM,+Tk)_P<TRU+hgZ,/1R0+.-P-U`jPSW1W'PS`aZ,M5T aSc

Z,-0+.Rr.aiau +.RUPdTk/^aM)+ + Pd-U-UZ\`j+ Tk),PdToTk)\+ Z,-U+hR/1- R0/^Tk/^M,pY /Tk) P x_PSR>!P r.aW^aRU+hxu:+hM aM P

W1/^p)5T>P r.aW^aRU+hx u\/1+.rh+ aScmu_PSu +.R" G+ x,/^-Uu,W1P 4TU),+ /^` PSpS+r.PSu\TUZ,RU+hx 254GTU),+ r.PS`j+hRkP aM Tk)\+

-UrhRU+h+.M aSc Tk),+ r.a`u,Z\TU+.RV

R0+.rtTwPSM,pSZ,WVPSR 2 a&X/^- a S+.R0WVPS/^x aM Tk),/^- /1`jPSp+ PS-j-U),a< M /^M

]_pZ\RU+

z

DA

|

P

‚

(*),+ Z,-0+.R'/1-IR0+.gZ,/^RU+.x Tkaqu,W1PSr.+mTU),+ u:+hMTU/1u /^M,-U/^x,+mTk),+ x,/^-Uu,W1P4+.x 2 a&X!yR0+PSx\4

Tka -€TwPSR€T' RU/^TU/1M,pAA(*),+q-04i-0TU+.` bPdTkrw)\+.- claR PSrhTU/i/^TN4 /^TU),/1M TU),/1-m2 a&X:y ),/1rw) /1-m`+Pd-UZ,R0+.x

254 /1`jPSp+ x,/8M:+.R0+.M,rh/1M,p2 +hT +.+hMjclRUPS`j+h-" ),+.M Tk),+*MZ,`#2:+hR adc:u\/7Xs+.W^-'PSrhTU/dPdTk+hx 254 /1`jPSp+

x,/7M!+hRU+.M\r./1M\p /^-q2,/1p +.M\aZ,p)GPS-q-U),a< MG/1M]_pZ,R0+ z BA

|

2 ‚ y TU),+ -04i-0TU+.` PS-U-0Z,`+.-qTk)_PdTTU),+.R0+

/1-mPSM a240+.rtT Tk)_PdT +hM5Tk+.R0+.x Tk),+2 a&X PSM,x /TbTk)\+.M -0TwPdR0Tk- P bPS/^TU/1M,p#u:+hRU/1aix Z,M5Tk/^W!Tk)\+a240+.rtT

RU+h` Pd/1M,-fgZ,/1+tT& (*),+ Z,-0+.R),PS-.yA/^MGTU),/1-BmP4SyATk),+ju:a-0-U/^2,/1W^/^TN4adc u,WVPSrh/1M,p Tk)\+ u +.M /Tk),/^M

Tk)\+ 2 a<XjPdM,x TwP:!i/^M,p P r.aS`claR€TwPS2\W1+ u:aS-U/^TU/1aM 2 +hclaR0+ -€TwPSR€Tk/1M\pfTUa RU/Tk+: c TU+.R TU),+oPdrhTk/i/^TN4

/^TU),/1M Tk),+j2:a&X )_PS- RU+hTUZ,RUM\+.x TkaW1a< claR Pu +.RU/^asxGaScmTU/1`+

|

2,/1ppS+.RqTk)_PSM zS{{ `- ‚ yTk)\+

-04i-€Tk+.` Pdr.gZ,/1R0+.-*Tk)\+u:+hM TU/1u Tk+h`ju\WVPdTU+Sy\-0+.M,x\- PSM PSZ\x,/12,W^+o-U/^pM_PSW:TkaTk)\+fZ\-U+.Rhy[PSM,x

-0TkPSR0TU-TkRUPSr !/1M,pA

X/1pSZ,RU+

z

HCj-0),a< -P - !S+tTkrw)aScTk),+fu:+hMTU/1uYy ),/^rw)/1-3PS-0-UZ,`+.xTka2:+fRUaZ\p),W^4 r.aM,/^rPSW

|

TURUZ,+ claR'`a-0T r.aS`j`+.R0r./VPdW,u:+hM,- ‚ I +hM,r.+dysTk)\+ u,R0aL0+.rtTk/^aM aSc:Tk),+3u +.MjTU/1uaM5TkafTk),+3/1`jPSp+

u,W1PSM,+B /1W1W2 +PjTURU/1PSM,pW^+ oM,+#aScTk),+2 aR0x,+.R0- aScITU),/1- TkR0/VPSM,pSW1+qr.aR0RU+h-Uu aM,x,- TUa Tk)\+#+.x\p+

2 +hT +.+.MjTk),+3u:+hMjTU/1uPSM,xTk),+ Z,-0+.R - ],M,p+.R PSM,x Tk)\+3T a#aSTU),+.R'2 aZ,M,x,PSRU/^+.-'r.aR0RU+h-Uu aM,xjTUa

Tk)\+ +.x\p+o2 +hT +.+.M TU),+ou +.M TU/1u PSM,xjTU),+ou,/^+.rh+ aSc u,PSu:+hR"'no+tTk+.rtTk/^aM PSM\x +#XiTkRUPSrhTU/1aMjaSc Tk)\+

u +.M TU/1u Tk+.`u,W1PdTk+ /1- RU+hx,Z,rh+.x Tkaf]_M,x,/^M,p TU),+32:aZ\M,x_PSR€4ju a/^MTU- adcYTk),+3u +.M TU/1uYyr.aS`ju,ZsTk/1M\p



2 +hT +.+.MGTk),+u:+hMGTU/1u PSM,x Tk),+ ]_M,p+hR.yTk)Z,-hy( +jaM\W^4W^asaG! claRTk),+h-U+T ba2:aZ\M,x_PSR0/1+.-q/^M

Tk)\+fx\+hTk+hrhTU/1aMPSM,x +#XiTURkPSrtTk/1aSMaScETk)\+qTU+.`u,WVP<Tk+

Finger

Pen tip

Ballpoint

X/^pZ,RU+

z

DC 'OE+.M Tk/^u `aix,+.W Pd-U-UZ\`j+hx claRmTU),+q/1M,/Tk/1PSW1/8$PdTU/1aM)

(*),+ 2:aZ\M,x_PSR0/1+.- aSc3Tk)\+u +.M Tk/^u PdRU+ W1airPdTU+.x Z,-0/1M,p v PSM,M54 -j+.x,pS+ x\+hTk+hrhTUaR

 z

Pd--U)\a M /^MG]_pSZ,RU+ z BA

|

r ‚

}

Z,2DP u,/7Xs+.W RU+h-UaW^Z\Tk/^aM /1MGTU),+ W^asr.PdTk/^aM aScmTU),+ +hx,p+ +hW1+.`+.M5TU-

/^-PSrw),/^+ S+.x 24],TUTU/1M,p P u,PSRkPS2 aW^/1rfrh4iW1/^M,x,+.R Tka Tk)\+ r.aM5TkRUPS-0Tq-0Z,R0c Pdr.+ /1MTU),+ M,+h/1p)2 aRU),aiaix

aSc +.PSrw) u,/Xs+.WO

}

/1M,rh+ x\+hTk+hrhTU/1aM PdM,x +#XiTURkPSrtTk/1aSM aScYTU),+ u +.MTk/^ujclRUaS` P -U/^M,pW^+3clRUPS`j+ /^- M,adT

+hR04#RU+.W^/VPS2\W1+'x,Z,+bTUaorw)_PSM\p+.-I/^M/1W^W1Z,`/1M_P<Tk/1aSMYyhTU),+m-04i-€Tk+.` r.aW^W1+.rtTk-E/1M\claSRU`jPdTk/^aM#Pd2:aZsTTk)\+

u +.M Tk/^u#claRIP cl+# clRUPS`+.-A2 +hclaR0+m+#XiTURkPSrtTk/1M\poTk),+mTU+.`u,WVPdTU+E(*),+ PSW^paRU/Tk),` /^-A-UZ\`j`jPSRU/8$.+hx

PS-*claW^W1a< -

%

v aS`ju,ZsTk+ Tk),+ x,/7M!+hRU+.M\r.+ 2:+tT b+h+.M rhZ,RUR0+.M5T /^` Pdp+ PSM,x u,R0+ i/1aZ\-/^` Pdp+9 /^TU),/1M Tk)\+

R0+.rhTkPSM,pZ\WVPSRI2 a&X Z,M5Tk/^W[P-UZAFr./^+.M5T MZ,`2 +.R'aSc:u,/7Xs+.W^-I)_P + Px,/8M:+.R0+.M,rh+ dPSW^Z,+*2,/^pp+.R

TU)_PSM Pu\RU+.x\+h]_M,+hxTU),RU+h-U),aW^x

|

-U+h+f]_pSZ,RU+ z DA

|

2 ‚U‚ ysTk),+hMpa TUa-€Tk+hu z

*

v aS`ju,ZsTk+f/1`jPSp+ox,/7M!+hRU+hM,r.+f2:+tT b+h+.MrhZ,RUR0+.M5T PSM,xu\RU+ i/^aZ,- /1`jPSp+h-= /^Tk)\/1M Tk),+fRU+hrhT P

PSM\pZ,WVPdR 2 a&X Z,M5TU/1W[Tk),+hRU+/1- M,a PSrtTk/SP<Tk/1aSMjclaRbP#MZ,`2 +.RmaSc clRUPS`+.-.yiTk),+hM pa#TUa-0TU+.u

AA

u,u,W4 v PSM\M4 -q+.x,p+ x\+hTk+hrhTUaRoTka TU),+ M,+h/1p)2 aRU),aiaixaScITk)\+ /1`jPSp+f/1M,-0/1x,+fTk),+ `+.MDP

TU/1aM,+hx 2:a&X IX/T'Pu_PSRkPd2:aW^/1r rh4iW1/^M,x,+.RATUaoTk),+ rhaM5TkRkPd-0T -UZ,R€c PSr.+ /^MTk),+ M,+h/1p)2 aRU),aiaix

aScQ+Pdrw)u,/Xs+.WO

}

%*

U +hTqTk)\+u\RUaS]_W^+ aScbTU),+ /1`jPSp+ PdW1aM,p P W1/^M,+Tk),PdTqu_PS-0-U+.-fTk),R0aZ,p)TU),+jrh+.M5TkR0a/1x a2DP

TkPS/1M,+hx /1M -0TU+.u ) /Tk) Tk),+qaR0/1+hMTkPdTk/^aM rPdW1r.Z\WVPdTU+.x /1M -€Tk+.u ?

|

-U+h+]_pZ,R0+ z BA

|

) ‚U‚

%

X/^M,x Tk),+u a-0/^Tk/^aM aScTk)\+f2,PSW1W^u:a/^M5TmPSM\x TU),+o]_M,p+hR /1M Tk)\/1-*u,R0aS]_W1+254 u +.R€claRU`/1M\p P

 n +.x,pS+ x,+tTk+.rtTk/^aM aMTk),+ /1`jPSp+*u,R0aS]_W^+Ie +.rha`ju\Z\Tk+ Tk),+3u a-U/Tk/1aSMjaSc:Tk),+ r.+hMTURUa/^x

PS-ITU),+ `j+.PSM aSc:TU),+3W1airPdTU/1aM,-aSc:TU),+*]_M,p+hR PSM,x Tk),+ 2_PSW^W1u a/1M5T

|

-U+h+3],pZ,RU+

z

DA

|

p:PN)

‚0‚

% XiTkRUPSrhTATU),+bTU+.`u,WVPdTU+ adc_Tk),+ u:+hMTk/1u 254#-0+.W1+hrhTU/1M,pPdM PSRU+.P aSc_TU),+m/1`jPSp+'aSc Pdx,+.gZ_PdTU+

-0/%$.+fPSR0aZ,M,x TU),+qr.+.M5TURUa/^xrha`ju\Z\Tk+hx/^M -€Tk+hu



|

-U+.+q]_pZ\RU+

z

DA

|

/

‚U‚

(*),+qPSrhgiZ\/1-U/Tk/^aM aSc TU),+u:+hM Tk/^u Tk+.`u,W1PdTk+3/1-mu +.R€claRU`+.x aSM,W^4jPdTmTU),+o2 +.p/^M,M,/^M,paScTk)\+

PSrhgiZ\/1-U/Tk/^aM) (*),+clZ,M,rhTU/1aMGaScmTU),/1-f`jaix,Z,W^+ /1M -0Z,2,-0+.gZ,+.M5T clRkPd`j+h- /^- aM\W^4Tka+#XiTkRUPSrhTP

RU+hp/1aSMaScA/1M5Tk+hRU+.-€T rh+.M5Tk+hRU+hx PSRUaZ\M,xTU),+#u,R0+.x,/^rhTU+.xu a-0/^Tk/^aM aScATU),+ u +.MTk/1u m(*),/1-3RU+hp/1aSM

aScI/^M5Tk+.R0+.-€To/1-3Z,-0+.x254TU),+ claSW1W1a< /^M,p 2,W1air ! aScATU),+#-€4s-€Tk+h` Tkajx,+hTU+.rtToTk),+#PSrhTUZ_PSWEu:aS-U/^TU/1aM

aScETk),+qu +.M Tk/^u)

# $%

(*),+ -U+.rhaM,x`aix,Z,W1+qaScQTk),+f-04i-€Tk+.`)_PS- Tk)\+ TwPd- ! aScIrha`u,Z\Tk/^M,p Tk),+ u:aS-U/^TU/1aM aScQTk),+ u:+hM

Tk/^u /1M Tk),+ r.Z\RURU+hM5T clRkPd`j+ aSc Tk),+ -0+.gZ,+.M\r.+ (*)\+-0aW1Z\TU/1aM aSc Tk),/^- TwPS->! /1-E +.W1W3!M,a< M

/1MGTk),+ ausTk/1`jPSW'-U/^pM_PSW x,+hTU+.rtTk/1aSM W1/^TU+.RUPdTkZ,R0+

> C,y z

-U-0Z,`j/^M,pTk),PdTTk)\+ -U/^pM_PSW Tka2 +

x,+tTk+.rtTk+hxG/^-!M,a< M + X\PSrhTUW^4+ Xsr.+.usTfclaSRoPSx,x\/^Tk/+H )\/^Tk+#M,a/1-0+Sy!TU),+ au\TU/1`jPSWx,+hTU+.rtTkaR/^-P

`jPdTkrw),+hx ]_W^TU+.R.ys/O+y_PW1/^M,+PdR ]_WTk+.R Tk)_PdT W^asa!i-bW1/%!d+ Tk)\+-U/1pSM_PSW!aSM,+/1-bTUR04i/1M\pTka x,+tTk+.rtT& LNM

aZ,R rPd-U+SysTk),+ -U/1pSM_PSW[r.aM\-U/1-€Tk- aScYTk)\+ u,/X\+hW1-'Tk)_P<TmRU+hu,RU+h-U+hMTbTk),+ou +.MjTk/1ujPSM,xjTk),+ M,a/1-0+

)_Pd-T arha`u:aM\+.M5Tk- aSM,+r.a`u aM,+.M5T /^-mx,Z,+oTUa M,a/1-0+/1M TU),+qPSr.gZ,/^-U/Tk/1aSM aScTk),+/^` Pdp+.-*PdM,x

Tk)\+jaSTU),+.RqaM\+/^-qx,Z,+ Tka rw)_PSM,p+h- /^M TU),+PSu,u_PdRU+.M5T -U/8$.+PSM,x aRU/^+.M5TwP<Tk/1aSM adcbTk)\+u +.M Tk/^u

x,Z,R0/1M,p TU),+ -U+hgZ,+.M,rh+jadc /^` Pdp+.-V (*),+ Pdr.gZ,/1-0/^TU/1aMM\a/1-0+ /1- TU),+ RU+h-UZ,WTqaSc P r.a`2\/1M_PdTU/1aM

aScQ` PdM4 c PSrhTUaRU- W1/8!S+rw)_PdM,p+.-3/1M /^W1W1Z\`j/^M_PdTk/^aMx,Z,+TkaW1/^p)5T _/1r !d+.R0/1M,paR PSZ\TUa`jPdTk/^rop5PS/^M

aScITU),+#r.PS`j+hRkP\y gZ_PSM5Tk/8$PdTU/1aMM,a/1-0+Sy rw)_PSM,pS+.-/1Mp5PS/^MaScITU),+ clRUPS`j+fpRUPS2,2 +.R.y:+hTUry ),+.R0+

M,aSTbPSW^W\Tk),+h-U+ c PdrhTkaSRU- PSRU+ PSx,x\/^Tk/+: v )_PSM,pS+.-b/^MTU),+ PSu,u_PSR0+.M5Tm-0/%$h+ PSM\x aR0/1+.M5TkPdTk/^aM aScYTk)\+

u +.M9 ),/^W1+ TU),+Z,-0+.R*/1-; RU/Tk/1M\p-U/^pM,/^],rPSM5TkW4 x,/1-€TkaR€Tk-bTU),+/1`jPSp+3aSc TU),+u:+hM Tk/^uYy\Pd-*-U),a< M



Portion of the image

extracted in order to

compute correlation

of the pen tip

The most likely position of

Location of

maximum

Predicted position

of the pen tip

location of maximum correlation

the pen tip is given by the

correlation

Predicted position

Pen tip template

Correlation

X/^pZ,RU+ z @ U /+.M Tk)\+u,R0+.x,/^rhTk+hxW^asr.PdTk/^aM aSc TU),+u +.M Tk/1u /1M Tk)\+r.Z\RURU+hM5T clRkPd`j+dy Tk)\+

`a-0TfW1/8!S+hW^4u a-0/^Tk/^aMaSc Tk),+u:+hM /^-faS2\TwPS/^M,+.x 254 ]_M,x,/^M,p Tk),+ u,W1PSr.+ Tk),PdT#),PS-q` PLXs/^`Z,`

r.aSRURU+hWVPdTU/1aM9 /Tk) Tk)\+fu\RU+ i/^aZ,-UW4 -0TUaRU+hx TU+.`u,WVP<Tk+oaScETk)\+fu +.M Tk/^u)

),/Tk+M,aS/1-U+#PS-U-0Z,`u\Tk/^aM,-oaScITU),+`jPdTkrw)\+.x]_WTk+.RV@!),a< + S+.R.yEPS-oPj]_RU-€TfPSu,u,R0a&X\/^` P<Tk/1aSM +

/1W^W PS-0-UZ,`+Tk)_PdT TU),+ u +.M Tk/^ur.PSM 2:+qx,+tTk+.rtTk+hx/1M +Pdrw)clRkPd`j+qZ,-0/1M,p Tk)\+ `jPdTkrw)\+.x ]_W^TU+.R"

(*),+ox\+hTk+hrhTU/1aM adcYTk),+ u:aS-U/^TU/1aMaSc TU),+ u +.M TU/1uj/1- a2\TwPd/1M,+hx /1MjaZ,Rb-€4i-0Tk+h`"254jW1airPdTU/1M,pqTk)\+

`jPLXs/1`Z,`"aScATU),+ M\aRU`jPSW1/8$.+hx rhaRUR0+.W1PdTk/^aM 2:+tT b+h+.MTk)\+ u +.M Tk/1u Tk+h`ju\WVPdTU+ PdM,xPSM/1`jPSp+

M,+h/1p)2 aRU),aiaix#r.+hM5Tk+.R0+.x aMTU),+bu,R0+.x,/^rhTU+.x u a-U/Tk/1aSM#aSc,TU),+mu +.MTU/1uYySPS--0),a< M/^M#]_pZ\RU+

z

@

(*),+ -Uu_PdTU/VPSWdRU+h-UaW^Z\Tk/^aMqaScTk),+'/1M5TU+.R0c Pdr.+'/1- x,+t]_M,+hx#254oTk)\+ W^asr.PSW1/8$PdTU/1aM PSrhr.Z,RUPSrh4qx,Z\RU/1M\p

Tk)\+rha`ju\Z\TwPdTU/1aM adc Tk)\+`jPLXs/1`Z\` r.aSRURU+hWVPdTU/1aM

}

Z,2DP u,/7Xs+.W R0+.-UaSW1Z\TU/1aM /1- Pdrw),/1+ +.x24

],T0Tk/1M\p P u_PSRUPS2 aW1a/^x TUa Tk)\+r.aR0RU+hWVPdTU/1aM-UZ,R€cPSr.+/^MTk)\+M,+./^p)2:aSRU),aiasxaSc'Tk),+#u,/7Xs+.W /^TU)

`jPLXs/1`Z,` r.aSRURU+hWVPdTU/1aM dPSW^Z,+

(*),+ -€4i-0Tk+h` PSW1-0a#PSM,PSW^44$.+h- TU),+ SPdW1Z,+h- adcY`jPLXs/1`Z,` M,aR0` PSW^/%$h+.x r.aR0RU+hWVPdTU/1aM Tkafx,+tTk+.rtT

),+tTk),+hR Tk)\+ u +.MTU/1u /1- M,aST /^TU),/1M TU),+#u,R0+.x,/^rhTU+.x/^` Pdp+M,+./^p)2:aSRU),aiasx bL cATU),+ dPSW^Z,+qaSc

`jPLXs/1`Z,` r.aR0RU+hWVPdTU/1aM/^-W1a<b+hRTk)_PSMGP Tk),R0+.-U)\aW1xYyTk)\+-€4i-0Tk+h`+.`/^Tk-qPdM PSZ\x,/12,W^+ -U/^pM_PSW

PSM,xjr.aM5TU/1MZ,+.- TkafW1aiaG! claSR TU),+ u +.MTk/^uj/^MTU),+ -UPS`+3u\WVPSrh+Sy mPS/Tk/^M,pclaRITk),+3Z,-U+hR TUa R0+PSW^/%$.+

Tk),PdTATkRUPSr !/1M,p )_PS-I2 +.+.M W^a-0TAPSM,xTk),PdTATk)\+mu:+hMTk/^u`Z,-€T'2:+mR0+hTUZ,RUM,+hx Tka TU),+*u,RUaSu:+hRA/1`jPSp+

&

("#,G" (

|

{

 ‚

|

{5‚

|

{

 ‚

|

{‚

|

z

>

‚

LNMTk)\+ r.PS-U+ aScAaZ\R -€4s-€Tk+h`y:2:aSTU) |

‚ PSM,x |

‚ PSR0+#PS-0-UZ,`+.x Tkaj2:+qTk/^`j+ PN/1M dPSR0/VPSM5T

PSM,x x,/VPSpSaM_PSW>y5/O+yiTU),+o`+PS-0Z,RU+h`j+hMTU-*PSR0+oPS-0-UZ,`+.x TUa2 + Z,M,rhaRUR0+.W1PdTk+hx PSM,x TU),+ rha`u:a:P

M,+hMTU-qaSc TU),+ -0TkPdTk+ PdRU+ PS-0-UZ,`+.xTka 2 + Z,M,rhaRUR0+.WVP<Tk+.x U /+hMTk),+ `asx\+.WQclaSRoTk),+ -€4s-€Tk+h`

-U)\a M/1M +.gZ_PdTU/1aM,- z z PSM\x z DA\y_Tk),+faM,W4 r.a`u aM,+.M5TU- aScTk),+f-0TkPdTk+B /^TU)M,a/^-U+ PSRU+qTk)\+

PSrhr.+.W^+.RUPdTk/^aM,-"

-U-UZ\`j/^M,pTU)_PdT*TU),+ S+.R€Tk/1r.PSWPSM,x ),aR0/%$haM5TwPSW Pdr.r.+hW1+hRkPdTU/1aM,- aScETk)\+fu +.M Tk/^u

PSR0+ Z,M,rhaRUR0+.W1PdTk+hx /1- P2,/T#Z,M\RU+PdW -0/1M,rh+jTk)\+ `Z,-0r.Z,W1PSR#pSRUaZ,u Tk)_P<Tp+hM,+.RUPdTk+h-#Tk),+j)_PSM,x4P

RU/TUTU+.M u_P<TUTk+hRUM aSMGTk)\+ u_PSu +.R x,as+h-#M,adT#`a + TU),+ u +.M TU/1uG/1M PdM,x /1M,x\+.u +.M,x,+hM5TkW^4

2,Z\ToRkPdTU),+.R PS-oPY ),aSW1+ W^-Ua TU),+ PS-0-UZ,`u\Tk/^aMadc'Z,M,r.aSRURU+hWVPdTU+.x`+Pd-UZ,R0+.`+.M5Tk-/^- Z,M\RU+PdW

-U/^M,r.+b+Z\-U+ P u,PSRkPS2 aW^a/1x ],ToadcITk),+ r.aR0RU+.W1PdTk/^aM-0Z,R0cPdr.+#TUa a2\TkPS/1M-UZ,2DP u,/7Xs+hWAPSrhr.Z,RUPSrh4Sy

PSM,x TU),+.R0+hclaR0+Sy,Tk)\+),aRU/8$.aM5TkPSWYPSM\x S+.R€Tk/1r.PSW r.aiaR0x,/1M_P<Tk+.-baScTk),+q`jPLXs/1`Z,` aScQr.aSRURU+hWVPdTU/1aM

PSR0+oW1/^M!S+hx Tk),R0aZ,p) TU),+ ],T0Tk/^M,pJI3a + S+.Rhy,Tk),+oZ\M,r.aR0RU+hWVPdTU+.x PS-0-UZ,`u\Tk/^aM u,R0a s/^x,+.-mP ]_RU-€T

aR0x,+.R'`asx,+hW,aSc:Tk),+3PSrtTkZ_PSW_x\+.u +.M,x,+hM,r.+h- /^TU)Pf-0` PSW^W\MZ,`2 +.R aSc:u_PSRUPS`j+tTk+hRU-"LNMc PSrtTy

PSM,x u\RUa i/1x,+oTU),+u_PSRUPS`j+tTk+hRU-mTk),PdT M,+.+hx TUa 2:+oTUZ,M,+hx/^M a