Neural Network - Learning Bayesian Networks

December 2019
PDF

This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA

Overview

Download & View Neural Network - Learning Bayesian Networks as PDF for free.

More details

Words: 25,441
Pages: 41

Preview
Full text

! "#$&%' ()! * +-,.0/2143576$398;:<+= > 35?6$3-8;:@+BA4:C.D5&8FE$GHEIKJ-LM5&EN: OP+8Q5 >SR9TNTNUWVX 3-,.0GY3/ =].c59+\ X 3-deEN8FJ Ogf Xih a XjhkTNU-hHlm

n orqtsuvYu-w0xy{z?vYzt|sq?} p ~i$ |Nq?z p z?q?}$Nuruo oMvYoMuN nporqtsuvHuw0x{usY$usH|xHoru Nz4nporqtsuvHuw0x{W|& y{z u e ~

!#"$ %&&'(*)+ )(#,, -/."()+ #0*, 12%#3"$ %#%435678'(9 :)<; 1/,(0>=>?2!2&(4'(*) )(#,@#'A '(8B)(,",'()&(."4)/ 3C#*)(&()D*8@)E! 'E-F,(G % (,H H%##'()&#" '(I *)(#"'I 0*#J#)/'&.#) H%K-F,@L'()+ )&'&)(#"$ %>G .%9 )(#, M=NO'(!, 1P!, 1P1/O"$ I.'&J)(! (&'(4Q)+ )&,I)(,%#$ (1R0Q, 12%43@2H*8C",@H##O3,@I #0*, 12%#3S12#)(!'&) )(#'()&" % 3 )+= T

UWVXWYZ\[^]\_LXA`ZaV

n | xHz?qQ}$No#b>cNz?vwcus{rzt|sHNo Npsz?r<}Nzt| orrpu |xF|>de pq?uxFsH|-vYx xF}NzIfNu*grz zztNq?u z o z h$$ztsx vHvYxHz vicNvc$|-rM q?u z?v)vYurz?M w su |z h$$ztskx@d2eK xF}Norv $|Bzts g z z h | o Nz|fNNuQg Mz z szt$sz?vYztxF|xHoru qt|Mrz |kjmlnQo prqsltutWo@vxw2yz4{@|x;}$|-xerz?xHv2cNv }$| zbxF}NzJ}$z?vHxu-wA}BuxF}Cg{us v@d2~i| z?r xF}Nzszt$sz?vYztxF|xHoru|-rMu*gvScNvbxYu rzt|sHNz gfNNu*grz z} q?u }No No N z h Bztsx u |-o IfNNuQg Mz z | vHx;|-xHorvHxHorqt|- |xF|>d ~ |tz?vHo | Nz?x+g{usforv{|sH|$}NoMqt|szt$sz?vHztxF|-xHoru u-wc$Nq?ztsx;|-o 5fNNu*grz zxF}$|-x uvHx)$z?u NrzI zt|-vY'xHuq?uNvYxFscNq?x4| o xYztsH$sz?x@due | $ orxHoru x;}Nz skzt$sz?vHztxF|-xHoru }$|viw0us |-b$su } |}NorrorvHxHorqpvHz |xHorq?v ) |fo N orx v$cNorxF|}NMz w0uNs4vYxF|-xHorvHxHorqt|- |No >cN |-xYoMuNx u*g|s eJt>O zt|s t d i ztsixF}Nz |vHx z?qt| z xF}Nz |&z?vHo |pNz?x+g uNsf}$|-v}$z?q?u z | Bu>cN |s4szt$skz?vHztx;|-xHoru wcuseztNq?u o Nuc$Nq?ztsxF|-o z h$$ztsxSfNNu*grz zo z h$$ztsxbvYvHxYz vx z?qrf-zts |z?x)|d Mt | d]npusz sz?q?ztxHr sz?vYzt|sq?}Nztsv4}$| z z z?ru$z P z?xF}Nu viw0uNsrzt|sHNo N |&z?vHo |pNz?x+g uNsfv wKsu | q?u }No $|-xHoruCu-wbz h BztsxfNu*grz z| ' |-x;|>d }Nz xHz?qQ}$No#b>cNz?vxF}$|-x }$| z\}Bz?zt z z?ru$z |szNz g | vYxHorM z u o N }>cNxx;}Nz?@}$| zu}Bz?zt vF}Nu*g CxHu}Bz skz |sf&|}NrcNor o N| $su }$|}NoMrorvHxHorq z h$$ztskx vHNvHxHz d }Nzt g{zcNvHzp| |-xF|}$|-vHz'xYuc$ |-xHzpxF}NorvfNu*g z z qtskzt|-xHo N uNzius uNszjNz g |&z?vYo |Nz?xg{us4fv@d }Nz4sz?v$cNrxo Nq?9c z?v4| sz Nz ztxuw xF}Nz usoro $|-z h BztsxSfNNuQg Mz z | vHu z?xHo z?v)x;}Nz o ztxHoqt|-xHoru u-w Nz g orvHxHo Nq?xHoruNv | sz? |-xYoMuN vF}No Nv@d }Nz|$$su|qQ} orvsu }>cNvHxxYu ztsHsuskvo xF}NzIfNu*grz z u-w x;}Nz4z h$$ztsx@dJ ztg }Nzt z h Bztsx fNNuQg Mz zorvmc$$skz?Mo |}Nrz4| o Nq?u Nrz?xHz g{z{qt|u-wcxHztucNvHz oMx xHuo $su zx;}Nzrzt|sHNo N $suq?z?vYv@d zt|sHNo N5cNvHo N |tz?vHo | Nz?x+g{usfv)orvvYo oM |sxHu4xF}$|xmcNvYo N Nz@c$sH| Nz?x+g{usfv@d }Nz4$suNq?z?vHv z Nru-o N |tz?vHo |'Nz?x+g{usfv }Nu*g{z zts }$|-vix+g{uo BusxF|x| $ |x;|-z?v@d Nz g zqt|zt|-vHorr ztNq?u z'z h$$ztsxfNu*grz zCo S| |&z?vYo |PNz?xg{us4f | cNvYz'xF}NorvfNu*grz zCxHu o Nqtszt|-vHzCxF}Nz z q?orztNq?<| |-q?q@c$sH|-q?u-wbrzt|sHNo NMd g{u xF}NzNu z?v| |sq?vo Mzt|sHNz P |&z?vYo |Nz?xg{us4fv u-wcxHzt2q?usHsz?vFBu xHupsz?q?uNo#t|}Nrz orvHxYo Nq?xYoMuNNv | qt|cNvF|-sz? |-xHoruNvF}No Nv@d#{uNvHz b>cNztxHr g{z qt| uNszzt|-vHorro xHztsY$sz?xj| c$ ztsvHxF| xF}Nz\fNNuQg Mz z4ztNq?u z o xF}Nzszt$sz?vHztxF|-xYoMuNEd

}NoMv$|Bzts oMv|}$sorz;w x$cNxHusko |u |&z?vHo | Nz?x+g{usfv)| z?xF}Nu v wcusbrzt|sYNo NxF}Nz wKsu |-xF|dGe z?q?xHoruNv | g{z orvHq@cNvHvxF}Nz |&z?vHo |p$}NorruvHu$}W| x;}Nz skzt$sz?vHztxF|-xHoruEdue z?q?xHoruNv xF}$su cN} g{z z?vHqtsko }Bz z?x;}Nu v{wcus{rzt|sYNo N xF}Nz4$suN}$|}NorMorxHorz?v4| vYxFscNq?x$c$szuw | |&z?vHo | Nz?xg{us4fMd2eK z?q?xYoMuNNv | B g{z orvHq@cNvHv z?x;}Nu v{wcus o ztxYo wcNo NNz g orvHxHo Nq?xHoruNv |}Bu cNxxF}Nz5g{usk | o xHz?sH|-xYo NpxF}Nz?vYz oMvYxHo Nq?xHoruNv o xHu | |&z?vYo |WNz?x+g{usfWd'2z sz?vYxFsorq?x u c$s orvHq@cNvHvHoru#xYu |&z?vHo |#| b>c$|-vHo |&z?vHo | z?x;}Nu v wcusrzt|sHNo NMd ~ 2o xHztsz?vYxHo NW| zts | t>@ | No sxYz?v z?x{|-xd u-wcxHztzez?q?xHo zNu |&z?vHo | |$$su|-q?}orv)o zt5} zt|s| t d ~ rvHu g{z4ro orxu c$s orvHq@cNvYvHorupxHu $sku }Nrz u |-o Nvg }Nztsz |so |}Nrz?vxF|fzu orvHqtsz?xYz vHxF|xHz?v@dnpuszztNztsY|-xHz?q?}$No#b cNz?v|sz o zt o c$xHo Nz5 t* | z?q f-zts | z?x|-xd t } d

E`kV\`ZEZ

z;w0uNszJg z orvHq@cNvHv |tz?vHo | Nz?x+g{usfv | }Nu*gPxHuirzt|sHxF}Nz wKsu |-xF| oMxOgorr}Nz? xHusz oMz g xF}Nz |&z?vHo | o xHztsY$sz?xF|-xHoru u-w $su }$|}Norrorxd ~ $so |s z?Mz ztx u-w xF}Nz{ |N c$|z{u-w $suN}$|}NorMorx |&z?vHo | usuxF}Nzts+gorvHz orv x;}Nzz ztxd z ztx g{z zt|| vHxF|xHz uw vHu z$|skxu-wbu c$sJg{us o vHu z xHo z o xHzts |-]o xF}Nz$|-vHx $sz?vHztx usw(cNx$c$szd ~ q? |-vYvHorqz h | NMzuw | z ztx)orv{xF}$|-x{| $|sxYoMq@cN |"s !o Cu-w | q?uo g oMrbq?u z\c$<}Nzt| v@d ~ BztsH}$|Nv usz o xHztskz?vHxHo N z ztxorvxF}$|xu gorr q?ruvYz|-x uskzxF}$| # BztsuNc$Nq?z4u% $| c$|sk $> d & o zt| z ztx ' xF}Nz$sz |-rztx q?uNq?ztNxHoru u-w orxHv)$sku }$|}NorroMxorv)xF}$|xboMxborv{| zt|-v$c$sz{u-w]xF}Nz wKsz b cNztNq?RgorxF}Pgi}NoMq?( } ' uNq?q@c$sv g }NztRg{z szt$zt|x |CxHo z?v |pz h$$ztso ztxugorxF}2$uvHvYo }Nrz 'P ) cNu*x ' d ~ oeztsztx NuxYoMuN#oMv xF}$|-xxF}Nz'$su }$|}NoMrorxPu-+w 'szt$skz?vHztxYv xF}Nz u cNxHq?u z? v ''| , .o - z+oo50y /13o 2qs4o /P}Nz? } |'BztsvHu@xF}$|-x4x;}Nz z zt5x ':gorr)uNq?q@c$s o #|vYo NMzz h$$ztsko ztx@d e_w | $ztskvHup|-vHvHorNv| $su }$|}Norrorx Cu-w xH u ' x;}Nzt'}Nzu}$z?rorz z?v\g oMx;}'q?ztskxF|-o xxF}$|x 'gorMbuNq?q@c$s de_w }Nz |-vYvHorNv4|$su }$|}Norrorx u-w xY u ' xF}Nzt }Nzu}Bz?Morz z?v^gorxF}Cq?ztsxF|-o x CxF}$|-x 'Ig oMr{Nux4}$|$$ztEd e_w }Nz |vHvHorNv|$sku }$|}NorroMx }Bz?x+g z?zt | xH6 u ' xF}Nzt }Nz oMv xHuvHu z z?sz?z5c$Nvc$sz |}Bu cNx g }Nz?xF}NztsusNux 'agorr uNq?q@c$s d }Nz'o xYztsH$sz?xF|-xYoMuNSuw|W$suN}$|}NorMorx |-v|pwKsz b>cNztNq?So | vHztskoMz?vuwszt$zt|-xz h$$ztsko ztxHv orv xFsH| oMxYoMuN$|-rMSskz;w0ztsHskz xHu |-vxF}NzP7y 198 ;o :vx=q <ou>s /rz+@o ?BANo@tMvxq p vbo xHztsY$sz?xF|-xHoruEd eK#q?uxFsH|vHx xF}Nz o xYztsH$sz?xF|-xYoMuNSuw|W$suN}$|}NorMorx |-v| z?skz?z |-q fo N t d ~ v g{z v;}$|-rvHz?z o z?q?xYoMuN xF}Nz wKsz b>cNztxHorvHxo xHztsH$sz?xF|xHoru#orv |CvF$z?q?o |-qt|vHz uw xF}Nz |&z?vHo | o xYztsH$sz?xF|-xYoMuNEd e pxF}Nz |&z?vHo |Co xHztsY$sz?xF|-xHoru |$su }$|}Norrorx usC}$z?rorz;wkgorr |g|&Nv ztBzt uCxF}Nz vHxF|-xHz u-wifNNu*grz z4u-wbxF}Nz $ztskvHugi}Nu $su o z?v xF}$|x $su }$|}Norrorxdus{z h$| Nrz o wSg{z\g{ztszxHu o z vHu z?uNzj| q?uo }Nzg{u cN Mo9f-z?r'|-vYvHor | $su }$|}Norrorx u-w B E xHu xF}Nz z ztx xF}$|-x)x;}Nz q?uo :g{u cN

vF}Nu*g }Nzt| v u xF}Nz<Nz hNx xYuvHv@de0w }Nu*g z zts g{z'q?u o Nq?z xF}$|x $ztsvYuPxF}$|x xF}Nz'q?uo g|-v g{z?or}xYz o 2wK| usiu-wj}Nzt| v }Nz5g{u cN |-vHvHor#|p}Nor}Nzts $su }$|}NoMrorxWxYu'xF}Nz z ztx@d } cNv g{z g sorxHz{xF}Nzi$su }$|}Norrorx u-w '|-v ' ? g }Norq?}orv szt| |vbxF}Nz$su }$|}Norrorx u-w ' -Nq=<o@tMd }NzvH }$u szt$sz?vHztxHvx;}Nz4vHxF|xHz uwKfNNu*grz zu-wbxF}Nz4$ztsvYug }Nu $su o z?vixF}Nz4$su }$|}Norrorxd ~ rvHu o xF}Norv{o xHztsH$skz?xF|-xHoru |$ztsvYu qt| |-vYvHz?vHv|4$suN}$|}NorMorx}$|-vHz u o w0us |-xHoru xF}$|-x }NzIl*p$p AGo p xHuI}$zixFscNzdLuNsbz h$| Nrz u c$sbq?uo xHuvHvYztsbqt| |vHvHz?vHv xF}Nzj$sku }$|}NorroMx x;}$|-x)xF}Nz q?uo g{u cN vF}Nu*g }Nzt| v u x;}Nz z?rz ztxF} xHuvYv c$ zts{xF}Nz|-vHv$c NxYoMuN xF}$|-x)x;}Nz vF| z q?uo q?u z?vc$ }Nzt| vuN zt|-q?} u-w xF}NzB svHx{xHzt xHuvHvYz?v@d zgisorxHz 4 ' '

xYu ztNuxHzx;}Nzj$suN}$|}NorMorx u-w z ztx ' -N=q <o@txF}$|xz ztx ' orvixFscNz4| o zt }$|-q fsku c$ fNu*grz z Md n | sz?vHzt|skqQ}Nztsv}$| zCg sorxHxHzt u*g o eztsztx{vHz?xHv{u-w $sku$ztsxYoMz?v xF}$|-x)v;}Nu cN }$zivF|-xYoMv z } z?sz?z?v{u-w/}$z?rorz;wk_zd Wd {u*h t* >7 & uNu t> | |z tM z bo Nz?xHxHo t sku zt|-q?}u-w xF}Nz MorvHxYv u-w$suBztsxHorz?v xF}Nz?vYz sz?vHzt|sqQ}Nztskv }$| z ztso z xF}NzbvF| z scNrz?v SxF}Nz{scNrz?vbu-w$su }$|}Norrorx d g{uu}$|-vHorqs4cNMz?v wKsu g }Norq?}uxF}Nzts scNrz?v |&}$z ztso z e |sz x;}Nzup A @z A72o g }Norq?}vF|&NvxF}$|-x wcus| z ztx '| orxHvq?u NMz ztx ' ) ')

4'

| xF}NzAz+y , A7:@vJz@A 2#o gi}NoMq?}v;|tNvxF}$|x)wcus| x+g uz ztxHv' | ' 4'

;'

4' '

4'

g }Nztsz 4'

@' ) ztNuxHz?v x;}Nz4$su }$|}Norrorx CxF}$|-x ' | ' |szx;scNzo ztMd x;}Nztsbq?u uNr cNvYz scNrz?v|sz u-w0xYztz h $skz?vHvHz o xHzts v)u-w |so |}Nrz?v sY|-xF}Nztsbx;}$|z ztxHv@d ~ <lzqFl 1 2#o x;|f-z?vu |-9cNz?vbwKsu | q?urMz?q?xYoMuNu-w cNx$c$|Mr z hq?9cNvHo z | q?uMrz?q?xHo z?r z h$}$|cNvHxYo z vHxF|xHz?v g }Nztszzt|-q?}'vYxF|-xHz q?usHsz?vFBu v4xYu vHu zz ztxd ~ |sko |}NMz |&}$z , q9p :@z+ovxo }$| o N'| NorxHzus q?u c$xF|}Nrz c }$zts u-wvHxF|-xHz?v uNs4orx |&P}$z :ytMvxqst ANyAprd uNs4z h$| Nrz |Cx+g{u*KvHxF|xHz us 1 qFtWlzn |sko |}NMz qt|}BzGcNvHz xHu skzt$sz?vHztx xF}Nz$uvYvHo9}NMz u cNxHq?u z?v u-w | q?uo !o g }Nztszt|-v| q?uxHo cNuNcNv |so |}Nrzqt| }$zucNvHz xHuszt$sz?vHztx x;}NzGg{z?or}x uw xF}Nzq?uo EdCeKCxF}Norv4$|$zts g zIcNvHz ru*g ztsKqt|-vHzrz?xHxHztsvxcNv$c$|-rrWNzt|sixF}Nz zt u-w x;}Nz |- $}$|}$z?x xHu'szt$skz?vHztx vHo Nrz |so |}Nrz?v | c$$$ztsKqt|-vHzrz?xHxHztsv xHu<skzt$sz?vHztx4vHz?xHv u-w |sko |}NMz?vd' z^g sorxH z xHu ztNuxYz xF}$|x |so |}Nrz porvo pvHxF|xHz d }Nztg{zu }NvHzts zxF}NzvHxF|-xHz w0uNsz ztsk |so |}Nrz o CvHz? x g{zqt|-rbxF}Norv4vYz?x u-w u }NvHzts |-xHoruNv| vHxF|-xYzuw | g skoMxY! z " d u z?xHo z?v g{zrzt| z xF}Nz vYxF|-xHzu-w| |so |}Nrz us vHz?xu-w |so |}Nrz?v4o Nrorq?orx@d }Nz Az+y 14l 1 9q 2#qFvxn , q prvxzq 1 A vxqsytPy <@o@zlp o@vO0y /<@lzqF7l 1 2#o #p $ ztNuxYz $ % ? orv xF}NzvYz?xu-w)$su }$|}NorrorxHorz?v $ & w0us |-revHxF|-xYz?v u' w d

(*)!+,.-0/2134- 5*6879-:;34- <>=?138- 5$79-A@38@:B868C*7>64D <>,:EFGH/!I JLKM7>:;:*3ONP,Q5$7>NP,:R164<9<>,QST6UC.38D68D79<97V5$=0S ,W-:$7>5X=OYZ)!+,.-/ 138- 5*6479- :[D\3O5$+]S^7>:*1WC.,Q5*,_64- SP138- 5$79-A@38@:RB864C*7>68D<>,Q:EOFGH/!I JAK7>:[:*3`NP,5$7>NP,Q:[168<9<>,S?6;aO,W- ,WC.68<97>b,SU C.34D 64D 79<97>5$=cS,.-:$7>5X=OY )0,S3d- 3O5;NP64eL,5$+,Q:*,S^7>:*5$79- 15$7>34-:f79-g5$+7>:RU68U\,WC8Y

Nz q?u uN scNrz u-w $sku }$|}NorroMxCoMvajmlnQo p v No$yz+o $% wcus g ztsz orv4xF}Nz $suN}$|}NorMorx orvHxFsko }>cNxYoMuN u-wP }Bz;w0uNszug{zufNu*g | oMv xF}Nz $su }$|}NoMrorx orvHxFso9}>cNxHoru#u]w |&wcxHztsg{z5fNNu*g :d }Nz?vHz orvHxFso9}>cNxHoruNv |sz vHu z?xHo z?v4qt|Mrz xF}NTz AzqFyzp4| >y*p vxo@zqFyz4p uw skz?vF$z?q?xHo z?rdeK |Cqt|-vHz?v uNr<x;}Nz skz? |xHo z $uvHxHztsorusiu-w orviu-wbo xHztsz?vYx@dSeK xF}Norvqt|-vHz W |&z?v x;}Nz?usz orvCg sorxHxHzt

$% P R g }Nztsz

$%

orv| Nus |-rot|xHoruq?uNvYxF|x@d ~ Nux;}NztsscNrz4orvixF}Nz: lqFt z@A 2#o

*

`

*

9

`

z ;v }$|-r Yv z?z xF}$|-x xF}NorvscNrz Mo vo BusxF|x4o 2xF}Nz z NorxHoru#u-w |&z?vHo | Nz?x+g{usfv@d ~ rvHu g{z }$| zFx }Nz -N@o tMoz+l2#q o , pCA z@A #2 o

$

$%

g N} ztsz orv| ztNztsH|-ro#?z $v c x;}$|-x{o Nq?9c z?v o xHz?sY|-rvg }NztvYu zus{|-ru-w xF}Nz |so |}Nrz?vio |szq?uxHo NcNu cNv@d2bo $|-rr g{4 z }$| zxF}Nzuo 8>lt>p qFytz@A72o $% _

$% P

}Nz |&z?vHo |p$}NorruvHu$}pz hxYzt vxHu z?q?orvHoru |fo Nc$ zts\c$Nq?ztsx;|-o x'o | orvHq?o NroDNz fNNuQgiW|-v , o@:@q prqsytv oyznQdPe #ztNztsH|- | z?q?orvHoruS}$|-vxF}$skz?z q?u $uNztxHv ^g }$|-x| z?q?orvHoru |fztsbqt| uc}Norvkl 2vxoz$tWlvxq9<@o p ? g }$|-x }NzfNNuQg vkc}Norv514oB2#qso4/p ? | g }$|-x}NzCg|xHv }NoMv]Az+o4/ o@z o@t :$o p deK z?q?orvHoru xF}Nz?us g{zcNvHz | , @o :@q prqsy% t <@lzqsl 1 2#obxHu4skzt$sz?vHztx)|ivHz?xbu-w cNx$c$|-rrz hq?9cNvHo z | z h$}$|cNvHxHo z |-rxHztsH$|xHo z?v E |&z?vYo |<$sku }$|}NorroMxYoMz?vxHuszt$sz?vYztx| z?q?orvHoru |fzts v}Bz?Morz;wcv | ANvx=q 2#qsvxqFo p4xHuWskzt$sz?vHztx | z?q?oMvYoMuN |f-zts v$sz;wcztsztNq?z?v@dPz?q?orvHoru xF}Nz?usP}$|-vz?vHvHztxHo |-rr uNzscNrz Il Q$q Iq oo 8 @o :@vxo , A vx9q 2#qFvxn _nPS d }Norv scNrz?v vF|&Nv4xF}$|-x o zt#|CvHz?x4u-w cNx$c$|-rr z hNq? cNvYo z | z h$}$|cNvHxHo z|-rxHztsH$|-xHo z?v | z?q?orvHoru |f-zts{v;}Nu cN @ |-vHvHorC|ucNxHorroMxCxHu z zts $uvHvHo9}Nrz u cNxHq?u z4u-wbz zts'BuvHvHo9}Nrz |-rxHztsH$|xHo z |-vHvYoMN |&z?vYo | $su }$|}NorrorxHorz?vxHu z zts $uvHvHo9}Nrz4u cNxHq?u z o zt z ztsk $uvYvHo9}NMz|-rxHztsH$|-xYo z | q?}NuNuvHzixF}Nzj|MxYztsH$|-xHo zxF}$|x |*h o o#?z?v4}Norvz h Bz?q?xHz cNxHorrorx d z ztsH|-bsz?vHzt|sqQ}Nztskvj}$| zvF}Nu*g xF}$|-xx;}NoMv4s4cNMz wcurruQg vwKsu vYz?xHv u-wbq?u Bz?Mro N'|*hNoru vG_zd Md N u~ z@c |$C| npusztNvHxYztsH &* D | |-z t*N d e 4$sH|q?xHorq?z - z?q?oMvYoMuN |fo Nc$ zts/c$Nq?ztskxF|-o xqt|}Bz| o q@cNrxbxF|-v$fWdeK wK|-q?x sz?vYzt|sq?}Nztsv }$| zvF}Nu*g CxF}$|-x4Bz?uNrz u-wcxHzt oru |-xHz xF}Nz nPS scNrz { ztskv$f'| |}$Nz | t d }Nz

"!

#

$

&%

z o |xHoruNvj|sz4vHu vHorNoqt|x| $sz orq?xF|}NrzxF}$|-xvHu z4sz?vHzt|skqQ}Nztsvi}$| zq?u z4xYu skz z?q?xixF}Nz scNrz |}$Nz | z?x |-xd Ct dWn | ux;}Nzts sz?vHzt|skqQ}Nztsv }Nu*g{z zts |s cNzxF}$|-x xF}Nz'|*hNoMu v cNvHz xHu ztsko z xF}Nz4nPO scNrz |sz4xHuNu q?u $z?rro N'xHuszz?q?x | |sk cNzw(c$sxF}Nzts xF}$|-x$z?uNrz v z o |xHoruNv{wKsu x;}Nz scNrz |f-z xF}NzkcNvYz u-w z?q?orvHoruKxF}Nz?uNsz?xHorq4q?uNq?ztNxYv| szt$skz?vHztx;|-xHoruNv|-r xF}Nz uNszo $uskxF|xGx uQg|s t dLe_wbxF}Nztsz v | u c>}Nx x;}NoMv|cNxF}NuNs }$|vxF}Nz4 |-xYxHzts orz g\d %

#

#

A` CV 2X ZBY ~ Az+y 1 #2 o , y\Ilqst_us>A tWq=<o@z4pro orv cNvHx| vHz?x{u-w |so |}Nrz?v@d ~ |&z?vHo | Nz?x+g uNsf oMv| u z?u-w

xF}NzxcNv$c$|-rrc$Nq?ztsxF|-o sz? |-xHoruNvF}No Nv4| uN |so |}Nrz?vo C| u |o Ed npusz4$sz?q?orvHz?r o ztC| u |o u-w |so |}Nrz?v L 8 ` xF}Nz 8ryqstMvMAz+y 1l71 q92qsvxn , q9p vxzq 1 A vxqsyt>/ryz orv)|$suN}$|}NorMorx orvHxFso9}>cNxHoru u zts|-r$xF}Nz{vHxF|-xHz?vu-w Gd ~ |&z?vHo |Nz?x+g{usf wcus szt$sz?vHztxHv)|uo x)$suN}$|}NorMorx orvHxFso9}>cNxHoru w0u s Gd }Nz@skzt$sz?vHztxF|-xHoru q?uNvHorvHxHv u-w|2vHz?x uw4MuNqt|-iq?u orxHoru$|-4$suN}$|}NorMorx orvHxFso9}>cNxHoruNv q?u }No Nz g oMx;}|4vYz?xu-w |-vYvHztsxHoruNv{u-wbq?u orxHoru$|-eo ztBzt ztNq?z xF}$|-x|-rru*g uNz xHu q?uNNvHxFscNq?x{xF}Nz ru }$|- uo x oMvYxFso9}>cNxHoru wKsu xF}Nzruqt|- orvHxFso9}>cNxHoruNvd uorr cNvYxFsH|-xHzixF}Nzszt$sz?vYztxF|xHoru rz?xicNv q?uNvHo zts xF}Nz u |-o uw x;su c>}Nrz?vF}NuNuxHo N|iqt|s xF}$|-x g{u xvYxF|sx@d }Nz svHxvHxYzto pq?uNvHx;scNq?xHo N'| |&z?vHo |pNz?x+g{usf orvxHu z?q?o z:g }$|-x |sko |}NMz?v | vYxF|-xHz?vxHu u z?xd Nz BuvHvHo9}Nrz qQ}Nuorq?z u-w |so |}Nrz?v w0uNsxF}Norv u |-o porv:jmlvxvxo@zn gorxF} vHxF|xHz?v{uu | }$| e ANBo 2A gorxF} vYxF|-xHz?vNuxz Nx | z Nx l A3- oI gorxF} vHxF|xHz?vNux # vxlzvS % gorxF}vYxF|-xHz?vz?v | z Nx| z Nx ANzt <@oz\" ! gorxF}vHx;|-xHz?v{z?v | Nu | $ NuMd weq?u c$svHz g{z{q?u cN o Nq?9c z | usz |so |}Nrz?va |-v/g{zg{u cN o |skzt|-(g uNs z h | Nrz d ~ MvYu g{z q?u cN @ u z?xF}Nz4vYxF|-xHz?viu-wbuNzus uskz4u-w)xF}Nz?vYz |so |}Nrz?v4|-xj| Nzts Mz z?bu-w z?x;|-ord uNsz h$| Nrz g{zq?u cN rz?x l AB-No\}$z | q?uxYo NcNu cNv |so |}NrzIgorxF}CvHxF|-xHz?visH|No N w su ' & xHu t( & d }NzvYz?q?u vYxHztCo 2q?uNvHx;scNq?xHo N<| |&z?vHo | Nz?x+g{usf orv4xHuq?uNvYxFscNq?x4| o sz?q?xYz |-q?Nq?Morq sH|$}xF}$|-xztNq?u z?v)|-vHvHztsxYoMuNNv u-wq?uN oMxYoMuN$|-o zt$zt ztNq?zd{2z)qt|-r$xF}NorvbsH|$}xF}NzBjmlnQo prqslt tMovxw2yz4{prvx@z A :4v A z+*o ) & o zt#| u |o + , 8 O g{z qt| g sorxHz xF}N-z uo x $suN}$|}NorMorx orvHxFso9}>cNxHoruCu-.w cNvYo N xF}Nzq?}$|-o 'scNrz u-w $sku }$|}NorroMx'|-vw0urru*gv

!

*Z A 8 O

9Z A 8 O

8 `

~ Qu g w0us z zts xF}NztszJgorrA}BzvHu z{v$c>}NvYz?x/ 0 |szq?uN oMxYoMuN$|-rMCo zt$zt ztx4o zt2/ d }$|-x{orv

*

9Z

Q O

_

*

3/

L

@

vcNqQ}x;}$|-x' | 1

8 O

}Nz?vHzq?uN oMxYoMuN$|- o ztBzt ztNq?o z?v z Nz xF}Nz |tz?vHo | Nz?x+g uNsf vYxFscNq?x$c$szd }Nz4Nu z?vio xF}Nz

p(f=empty | ξ) = 0.05

Battery

Fuel p(b=bad | ξ) = 0.02

Gauge p(g=empty | b=good, f=not empty,ξ) = 0.04 p(g=empty | b=good, f=empty,ξ) = 0.97 p(g=empty | b=bad, f=not empty,ξ) = 0.10 p(g=empty | b=bad, f=empty,ξ) = 0.99

Turn Over Start

p(t=no | b=good,ξ) = 0.03 p(t=no | b=bad,ξ) = 0.98

p(s=no | t=yes, f=not empty,ξ) = 0.01 p(s=no | t=yes, f=empty ,ξ) = 0.92 p(s=no | t=no, f=not empty ,ξ) = 1.0 p(s=no | t=no, f=empty ,ξ) = 1.0

bor c$sz ~ |&z?vHo | Nz?x+g{usf wcusx;su c>}Nrz?vF}NuNuxHo N<| qt|sixF}$|-xCg{u xvYxF|sx@d ~ sq?v4|sz sH|g wKsu qt|cNvHzxHu z z?q?xd }Nz ruNqt|- $suN}$|}NorMorx oMvYxFso9}>cNxHoru_v |-vYvHuq?o |-xYz gorxF} |4Nu zj|skzvF}Nu*g | H|-q?ztxxHuxF}NzNu zd

vHxFs4cNq?x$c$szq?usHsz?v;$u xYu |so |}Nrz?vo pxF}Nz u |-o Ed }Nz $|sztxHvu-w# q?usHsz?v;$u xYuxF}NzvHz?x / d e Cu c$siz h | Nrz cNvHo N'x;}NzuNs ztso N ! | % g{z }$| zxF}Nzq?u orxHoru$|)o zt$zt ztNq?orz?v

' ;

'

"!L [ R Z

"!A3

%3 [ R !` Z

%3[ !O

{uNvYz b cNztxHr g{zu }Nx;|-o xF}NzvHxFscNq?xc$szvF}Nu*g o bor c$sz d }Nzu $|- vHxHzt2o q?uNvHxFs4cNq?xHo NW| |&z?vYo |WNz?x+g{usfporv xYu@|vHvHz?vHvxF}NzruNqt|- oMvYxFso9}>cNxHoruNv * / SuNz orvHxFso9}>cNxHoruCwcus z ztsCvHxF|-xHz u-w / d }Nz?vHz oMvYxFso9}>cNxHoruNv w0uNsu c$si|cNxHu u }Norrz z h$| Nrz<|skz vF}Nu*g #o boMNc$sz dP{u }No No N Kb c$|-xYoMuNNv | $ g zvYz?zxF}$|-x | |&z?vHo | Nz?x+g{usf wcus |-#g|&Nv{ztNq?u z?vixF}Nzuo x $su }$|}Norrorx oMvYxFso9}>cNxHoru w0uNs Gd ~ sH|g}$|-q fu-w |&z?vHo | Nz?x+g uNsfv|-v z Nz oMv{xF}$|xNz?x+g{usf vHxFscNq?x$c$skz ztBzt v u |so |}Nrz'uNs zts d e0wjx;}Nzus zts orv qQ}NuvHzt#qt|sz?rz?vHvHr xF}Nz'skz?v$cNrxHo N Nz?x+g{usfpvYxFscNq?x$c$sz |&pwK|-orxHu sz zt| |q?u orxHoru$|-)o ztBzt ztNq?o z?v o x;}Nz u |-o Ed ~ v|'z hNztsq?orvHz xF}Nz szt| ztsiv;}Nu cN q?uNvHx;scNq?x| |&z?vHo | Nz?x+g{usf wcusbx;}Nz4|cNxHu uN}NoMrzxFsku c>}Nrz?vF}NuuxHzts u |-o cNvHo N xF}NzuNs ztso N % !` dMusx$c$$|-xYz?M o $sH|-q?xHorq?z g{z{qt|u-wcxHztszt| orr |-vHvYztsxbqt|cNvF|-skz? |xHoruNvF}No Nv| uN |so |}Nrz?vo C| u |o | qt|cNvYzxF}Nz?vHz|vHvHztsxHoruNv xHu q?uNvHx;scNq?x | |&z?vHo | Nz?x+g{usfvYxFscNq x$c$szJgorxF}NuNcNx)$sz?us ztso N xF}Nz |so |}Nrz?v@dS~i| z?r xHuq?uNNvHxFscNq?xb| |tz?vHo | Nz?x+g{usf wcusb|o zt vHz?x{u-w |sko |}NMz?v g{z sH|g |sq?v w su qt|cNvHz |sko |}NMz?v xHuxF}Nz?o so z o |-xYzz z?q?xYv@dSeK| uvHx|-r

qt|-vHz?v $ uo N vYu sz?vcNMxYv o '| |&z?vYo |'Nz?x+g{usf^g }NuvHzq?u orxHoru$| Ko ztzt z9Nq?z o Nrorqt|-xHoruNv |sz |-q?q@c$sH|-xHzd^usiz h$| Nrz x;}Nz Nz?x+g uNsfo RboMNc$sz g|-vq?uNNvHxFscNq?xHz cNvHo N<x;}Nz |-vHvHztskxHoruNv xF}$|-x l AB-No4orv4x;}Nz o sz?q?x4qt|cNv;|-bzez?q?xu-wjmlvxvxo@zn | A o32 ANz$t <@ozorvxF}Nz o sz?q?xqt|cNvF|- zez?q?xu-wJjlvxvxo@zn | # vxlz$v oMv xF}Nz o sz?q?xiqt|cNvF|-]zez?q?xu-w ANz$t$ <@o@z{| $ ANoB2#d z?qt|cNvYz4| |tz?vHo |Nz?x+g uNsf wcus{| u |o z?xYzts o Nz?vj| uo x $su }$|}NoMrorx orvHxFso9}>cNxHoru wcusbxF}$|x u |o g{ziqt| So $so Nq?o NrOz cNvHz | |&z?vHo | Nz?xg{us4f4xYu4q?u >cNxYzj| $suN}$|}NorMorx u-w)o xHztsz?vHx@dJus{z h$| Nrz v$c$$BuvHzIg{z\g|xxHu q?u >cNxHz4xF}Nz$su }$|}Norrorx orvHx;so9}>cNxHoruCu-w A 3o 2 o zt xF}$|-x{xF}Nzqt|s uNz?vF x vHxF|sxd/]su x;}Nz4scNrz?v u-w)$su }$|}NoMrorxg{z4}$| z !` % N u ' % Nu [ % % NNu Zu [ R !O % NZ u eK#|szt|-(g{us $su }Nrz gorxF } |so |}Nrz?v xF}Norv |$$suN|-qQ}@oMvNuxwczt|-vHo9}Nrz }Bz?qt|cNvHz oMx ztx;|-orMv v$c o N u zts us usz{xHzts v@dusx$c$$|xHz?r g z{qt| z h Nruorx)x;}Nz q?uN oMxYoMuN$|-o zt$zt ztNq?o z?v ztNq?u z o | |&z?vHo | Nz?x+g uNsf xHu |f-z x;}NoMv q?u >cNxF|-xYoMuN uNszz q?orztx@dSeK x;}NoMv qt|-vHz o zt xF}Nzq?u orxHoru$| o zt$zt ztNq?o z?v4o Kb c$|-xYoMuN $ 2b>c$|-xHoru }$z?q?u z?v ' \ % Nu !O [ " !A3 ;3 [ 3% Nu \ % N u !O [ !L3 ;3 [ }$|-x{orv q?uN oMxYoMuN$|- o ztBzt ztNq?z $su cNq?z?v | z?q?u BuvHorxHoru u-w xF}N.z uo xi$su }$|}Norrorx orvHx;so }>cNxHoru xF}$|-xeqt|}$zcNvHz o q?u c$Nq?xHorugorxF}xF}Nz orvHxFso9}>cNxHo z{ |gWxHuisz cNq?z)xF}Nz o ztNvHoru$|-rorx u-wbxF}Nzq?u >cNx;|-xHoruNv@d }Nz ztNztsY|-$su }Nrz u-w q?u >cNxYo N#$su }$|}NorrorxHorz?v u-wio xHztsz?vYx4wKsu | c$uvYvHo9}NMPo Nrorq?orx uo x{$su }$|}Norrorx orvHxFso9}>cNxHoru orv qt|Mrz Az+y 14l 1 =q 2#q prvx9q :qFt /roz+o@t :o@d ~ r]z h |-q?x{|-rusorxF} v)wcus $su } |}NorrorvHxHorq o wcztsztNq?zo |&z?vHo | Nz?xg{us4fvz h Nruorxbq?u orxHoru$|o zt$zt ztNq?z4suNcN}Nr|-vLg{z }$| z z?vHqtso9}Bz e |-rxF}Nu cN}gorxF} o eztsztx)x+gorvHxYv@dusz h | Nrz uQg|s | n |-x;}Nz?vHu t@?- }$|-q?}xYztsk t z z?MuN$z | |-ruNsorxF} xF}$|-x skz ztsvHz?v|sq?v{o xF}NzNz?x+g uNsf vHxHz t { | 6 vHxFs4cNq?x$c$sz5c$xHor{xF}Nz |Nvg{ztsxHuCxF}Nz o zt#$su }$|}NorrorvHxHorqb>cNzts qt|P}$z'szt| o sz?q?xHr wKsu xF}Nz sH|$}Ed7e xF}Norv|-rusorxF} zt|-qQ} |sq sz ztsvF|-$q?usYsz?vF$uN v)xHu4| |$NroMqt|xHoru uw |&z?v -x;}Nz?usz d zt|s t\ z z?ru$z | z?vHvF|z $|-vHvHo NvHq?}Nz zx;}$|-xSc$ |-xYz?vbxF}Nz $su }$|}NoMrorx oMvYxFso9}>cNxHoruNv wcuszt|qQ}pNu zo | |&z?vHo |pNz?x+g uNsf o skz?vF$uNvYzxYu u }NvYzts |-xYoMuNNvu-w)uNzus usz |so |}Nrz?v@d Norz?z? }$|-rxHztsu t qtszt|xHz ||-rusorxF} xF}$|-xO svYx x;sH|Nvwcus v xF}Nz |&z?vHo | e|c$skoMx4?zt'| Nz?x+g{usfpo xHuW|pxFskz?zg }Nztszzt|-q?}SNu zo PxF}NzCxFsz?zq?usHskz?vF$u v xHuW|pv$c>}NvYz?x u-w |so |}Nrz?v o xF}Nz u |-o Ed }Nz|-rusorxF} xF}Nzt#z h NruorxHvvHz ztsH|- |-xF}Nz |-xYoMqt| $suBztsxHorz?v u-wxF}NorvxFsz?z xHu $zts w0us $su }$|}NorrorvHxHorq o wcztsztNq?zdnpuvHxsz?q?ztxHr ~ }$suvHoruP t>{ z z?ru$z |Co wcztsztNq?z |-ruskoMx;} x;}$|-xvHo Nro z?vvc v | $su cNq?xHvvH }BuroMqt|Mr |-vo #x;}NzxFsH|Nvwcus |-xHoruCwKsu 2b>c$|-xHoru xHu52b>c$|-xHoru d ~ rxF}Nu cN}ag{zbqt|iz h Nruorx)|-vYvHztsxHoruNveuw q?u orxHoru$|o zt$zt ztNq&zo 4| |tz?vHo |Nz?x+g uNsf{wcus $su }$|}NoMrorvHxHorq{o w0ztskztNq?z z h$|-q?xeo w0ztskztNq?z o ||s}NorxFsH|s |&z?vHo |4Nz?x+g{usfoMvL~ }$|s {uuN$zts

Battery

Fuel

Start before d

Start after d

d

u

bor c$sz ~ o !AcNztNq?z o |-NsH| _vHxFscNq?xc$sz wcus| z?q?oMvYoMuNpu-w2g }Nz?xF}Nzts xHu q?}$|Nz xF}NzG}$|xHxHzts z?x{w(cNz? uNs u NuxF}No NMd }Nz vb c$|sz4Nu z skzt$sz?vHztxHvu c$s|MxYztsH$|-xHo z?v@d }Nz o | uN Nu z szt$sz?vHztxHviu c$sCcNxHorMorxHorz?v u-w |-r x;}Nz$uvHvHo9}Nrz u cNxHq?u z?v@d }Nz u c>}NrzKro Nz|sq w sku # vxlzvexHu szt$sz?vYztxHv{xF}Nz|-vHvYztsxHoru xF}$|-xSg{zfNNu*gg }Nz?xF}Nzts us)Nux x;}Nz qt|s vHxF|skxHvSg }Nzt^g{z |f-z z?q?orvHoru d t dJ ztC|$$su*ho |xHz4o wcztsztNq?z w0uNsz h$| Nrz cNvHo Nn} /&* dKus ||$Nrorqt|-xHoruNv }Nu*g{z zts xF}NzNz?x+g uNsfv|skzv |-rztNu cN} _us qt| }$zvHo Nroz v$c q?orztxYM vHu xF}$|-xixF}Nz?vHzq?u Nrz hNorx psz?v$cNrxHv4|skzNux w |xF|-xdusx;}NuvHz |$Nrorqt|-xHoruNvg }NztskzxF}NzGcNv$c$|eo w0ztsztNq?z z?x;}Nu v |szo $sH|-q?xHorqt|- sz?vHzt|skqQ}Nztsvi|sz z z?ruNo N xHz?q?}$No#b cNz?vpxF}$|-x|szpq@cNvHxYu xF|-orrusz xYuS$|sxHorq@cN |s'Nz?x+g{usf#xYu$uruoMz?vx z?qrf-zts | &> cNzts uN x| uuBzts S&>@? us$|skxHorq@cN |so w0ztskztNq?z5b>cNztsorz?vcy| | c$skxF}No | ~ uo Nu t>D }$|-qQ}xHzts{z?xi|-xd t $ztNvHzt'| ~ ztsvHzt t d }Nzqst A ot :o , qFl - z+\l goMv)|z hNxHztNvHoru u-wxF}Nz |&z?vYo | Nz?xg{us4f szt$skz?vHztx;|-xHoru xHu z?q?orvHoru $su }Nrz vdS]o9f-zxF}Nz |&z?vYo | Nz?x+g uNsf |o !AcNztNq?z o |sH| q?ux;|-o Nv)Nu z?vszt$sz?vYztxHo NIc$ q?ztsxF|o |so |}Nrz?v| |sq?vszt$sz?vHztxHo N<$sku }$|}NorroMvYxHorq zt$zt ztNq?zdIeK |o !AcNztNq?z o |-NsH| xF}Nz?vHziq?uNvHx;scNq?xHv |szqt|-rrz : lt :o\tMy , o pb| z3o 2#Bo <@lt :ol0z : p sz?vF$z?q?xYo z?Mde | $ oMxYoMuN o !Ac ztNq?z o |-NsH| v |& q?uxF|-o , @o :@q p qFyt tMy , o p g }Norq?}'szt$skz?vHztx z?q?oMvYoMuN |so |}Nrz?v | |-x uvHx uN% z A vx9q 2#qFvxn:tMy , o |Eg }NorqQ}pszt$skz?vHztxYvj| z?q?orvHoru |f-zts v $skz;w0ztsztNq?z?vd ~ MvYu o !AcNztNq?z o |-sH| v |&4q?uNxF|o qFt /ryOz Ilvxqsytl0z : p|>g }NorqQ} o oMqt|xHzgi}$|-xborvmfNNu*g |-x)x;}NzxHo z | z?q?orvHoru orv | zd usz h$| Nrz o #u c$s xFsu c>}Nrz?vF}NuNuxHo N u |-o vc$$$uvHzg{z}$| z x;}Nz uNxYoMuNNvxYu@skztN |q?z xF}Nz5}$|xHxHzts z?x wc$|sz Nu z orv4| z?q?orvHoruWNu z | szt$skz?vHztxYvu c$s|-rxHztsH$|-xYo z?v@d }Nz o | u Nu z orv x;}NzGcNxHorrorx Nu zd }Nz|sq?v$uo xHo NxHu xF}Nz qQ}$|Nq?z 0u |- Nu z?v|sz # vxlzv)xYu orv | o wcus |-xYoMuNW|skqdecxHv$sz?vHztNq?z'|-vYvHztsxHv xF}$|-x sz?rz |Nq?z'|sq?v@d }Nz |skq wKsu |-x x;}Nz<xYo zg{z |f-z'xF}Nz z?q?orvHoru g z fNu*g gi}Nz?xF}Nzts uNs Nux xF}NzCqt|s vYxF|sxHvd e SztNztsH|-

p(θ|ξ)

“heads”

“tails”

0

0.2

0.4

0.6

0.8

1

θ

(a)

(b)

b ro $c s z Ic | N} z u Nc Hx ?q u ?z v u w | Fx N} c N} Fx -| q f ! o E d x } i ~ $ s u $} | N} ro r ro x ro Hv Fx ks o >} Nc Yx Mo Nu p cw u s Fx N} z $ } Hv ro tq -| $ s u $} | N} ro r ro x C -u )w N} tz | @v d

o 0w Nu s -| Hx ro u C | s ?q v B u o ix u N r Hx u ?z ?q ro Hv ro u p N u ?z v g N} tz s tz -| v s ?z r z | N ?q z | ks ?q v $ u o x Nu N M Yx u Qq $} | N ?q z N u ?z @v d

J LY \V ` V Y Z 5 G ` +` AX `

V

m Y `

>

?z tq | Nc Hv z &| ?z Hv o | N ?z +x g Nu s f {v $} | jz | $ s Nu $} | N} ro M ro Hv Yx Mo q o Hx tz Ys $ s ?z Fx -| Hx ro u {g iz tq | 5 Nc Yv z Fx Hs | ro Hx ro u $ -| ] Hx ?z ?q } -| ;x >| ed z ro Hv @q Nc Hv bv Fx N} ?z Hv {z Hx ?z ?q $} N #o b Nc ?z v N #o b Nc ?z v Kw s u &| ?z Hv o | Yv Fx -| Hx ro Hv Hx ro ?q v Hx iu M tz | Hs Fx N} ?z Yv z u ?z r v Kw s u oC Fx N} z s z -| o tz is -u )w Fx N} z $ | $ tz s d z tz Hs -| -u bw Fx N} z Hx ?z Qq $} N #o >b Nc ?z v Fx $} -| Cx {g 4z N ?z z tq | B} z ro Hv @q Nc Hv Yv z o Fx N} z ?q u Yx z h x u w r tz | Hs N o N Fx N} z $ s u $} | N} ro r ro x ro Hv Fx s 9o >} Nc Hx ro u @ -u w | Hv o N r z | ks o | N} M z Cd Ke Fx N} ro v Hv ?z ?q Yx Mo Nu {g z

z $h | o N 4 z Fx N} ro iv tq -| Hv z d u N Hv o tz {s 4| ?q u u Fx N} c N} ;x -| rq f S u N z g Mo ;x } 4| s u $c e ! -| x N} tz | Fx $} -| {x tq | : $} iz cw u $c o u Hv x $v $c B tz s | s f ?z Hx @v d _e \ w {g z Fx $} s *u g Fx N} z Fx N} c N} Fx -| q P f $c P o Fx N} ' z -| o s | M ?z x o | u P 2 | $} | s e ! -| x $v $c s Kw -| ?q z Mo x g Mo r { ?q u z Hx ' u ks ?z Hv x ?z ro Fx N} tz s u @ Mo Yx 4v $ u o x $o l , p u is u @ Mo Yx 4v N} tz | + xv l 9q 2 p 7 -| v Fv N} *u g C o b ro $c s z | d $c $ B u Hv z {g z o z Fx N} iz Fx N} c N} Fx -| q f Hx u Hv u ?z Nu N z ig N} u Fx N} tz * ! o N iv ro x | Hx o ?z v | tz -| v $c s ?z )v Fx N} z Kw Hs -| ?q Hx ro u u w Yx o ?z v ;x N} z Fx N} c N} ;x -| rq f ?q u ?z v $c N} tz | @v d ~ w s z >b Nc tz Hx ro Hv Jx g Nu Nc Fv &| Fx N} ro v r u N * s $c Kw Hs -| ?q Hx ro u ro v | $ s u $} | N} ro r ro x | g Nu Nc u N} Hv tz s z ! o N v -u ew Fx N} iz Fx N} c N} ;x -| rq f Hx 4u ?z Yv Hx o -| Hx iz Fx N} ro v $ s u $} | N} Mo r ro x id e ?q u Fx Hs | Hv x Kw s u Fx N} z &| ?z Hv o | B tz s Fv B ?z ?q Hx o z {g 4z s ?z ?q u N #o ? 4z Fx N} 4z B u Hv Hv 9o N} r z -| 9 Nc ?z v -u w Fx N} ro v w Ys -| ?q Hx ro u -| v | | s o | N} r Oz S tq -| r ro x g N } u Hv z Fx s Nc z | Nc z ro u v $c N ?q tz s Fx -| o E C d z tq | p z h $ ks ?z Hv v u $c s $c N ?q tz s Fx | o x ' | $} Nu Nc x g Mo ;x ' } | $ s u $} | N} ro r ro x ro Hv Fx s 9o >} Nc Hx ro u ? | $c -| Hx z Fx N} ro v ro Hv ;x s 9o >} Nc Hx ro u p -| v {g z u N} Hv tz s z ! o N iv -u bw Fx N} z Fx N} c N} Fx -| q Mf d 2 z N u Hx z Fx $} -| x -| r Fx N} u Nc } u ?z 4v N u 4x ks tz $ s ?z Hv tz 4x | ?z s ?z z -u mw B} ?z r Mo ;z w ?q u r r ?z ?q Hx ro u N v -u w r u N * 4s $c Kw Hs -| ?q Hx ro u N v M 9o -f z Fv -| Yx Mo kv 0w Fx N} z 4s Nc M ?z v -u w $ s u $} | N} ro r ro x Sd Ke Fx N} ro v $ | B tz s {g z ;v $} -| r s ;z cw tz bs Hx u | v ?| n rp 9q $: l 2 Z + 7>:_,A 6`NdU <>,f7>:;5*64eA,.- C.3`N_ 3Z 64C.S0G "A! KWY

θ x1

... x m

x2

bor c$sz ~ |&z?vYo | Nz?xg{us4fivHxFscNq?x$c$skz ztNorq?xHo N xF}Nz{q?u orxHoru$|-$o zt$zt ztNq?o z?vi|-vHvHuNq?o |-xHz gorxF}C|G}No Nu o | vF| Nrzd Az+y

14l 1 q92#qFvxnIc|&wcxHzts & uu eEt xHu orvHxHo N cNorvF} oMxw su | z?skz?z u-w2}$z?rorz;w d bor c$sz vF}Nu*gv{uNz

$uvHvHo9}Nrz $sku }$|}NorroMx orvHxFsko }>cNxYoMuNwcus d ~ u*g v$c$$BuvHzIg{zu }NvHzts z Z A 8 O- xF}Nz4u cNxYq?u z?vu-w !o Nvu-w x;}Nz4xF}Nc }NxF|-q fMd zvYu z?xHo z?v{sz;w0zts xHuxF}Norv)vYz?x)u-w]u }NvHzts |-xHoruNv |v | , lvxl71l*p o )Oe_wg{zfNNz gSxF}Nz |-9cNziu-w N xF}Nzt u c$s$suN}$|}NorMorxCw0uNs }Nzt| vuN<| !o g uNcN }Bz z b c$| xHu N Nu |xHxHztsi}NuQg |u cNxHq?u z?v g{zu }NvHzts zd }$|-x{orv * ' %9 8 ` R g }Nztsz0 orvx;}Nz4u cNxHq?u z uw xF}Nz_x;}!o u-wbxF}NzxF}Nc }Nx;|-qrfWd o or |sr g z4}$| z

*

!

%9Z A

8 O

A

_

4

eKC$|sxHorq@cN |s xF}Nz4u cNxYq?u z?v |skz cNx$c$|-rro zt$zt ztx o zt d zqt|Cszt$sz?vHztxxF}Norviq?u orxHoru$|-o zt$zt ztNq?z |-vYvHztsxHorucNvHo N| |&z?vHo | Nz?x+g{usfvHx;scNq?x$c$sz |vvF}Nu*g o bor c$sz d e szt|-rorx g{z|szc$Nq?ztsxF|-o C|}$u cNx{xF}Nz |-9cNzu-w dSe xF}Norvqt|-vHz g{z qt|cNvHzxF}Nziz h $|NvYoMuN scNrz4xYu z?xHzts o Nz u c$s$su }$|}NoMrorxxF}$|-xx;}Nz4Nz hxxYuvHvu-wxF}Nz4xF}Nc }NxF|-q fIgorr q?u z\c$'}Nzt| v * '

%

* '

d

%

g }Nztsz ztNuxHz?v)xF}Nz z h Bz?q?xF|-xHoru u-w o ztTMd }$|-x oMv u c$s $su }$|}Norrorx w0us }Nzt| v)uNxF}Nz Nz hNx)xHuvYvboMv cNvYx)xF}Nz{z h$$z?q?xF|-xYoMuN u-w d2Ac$sx;}Nzts usz vc$$$uvHzCg{z !o xF}Nzx;} c }NxF|-q fuNNq?z | u }NvHzts z4}Nzt| v@dS vHo N |&z?v x;}Nz?usz x;}Nz4$uvHxYztsorus$su }$|}NoMrorx orvHxFsko }>cNxYoMuNwcus }Bz?q?u z?v

9

' %

'

%

g }Nztsz orvvHu z Nus |-rot|xHorupq?uNvHx;|xd }$|-xorv g zu }Nx;|-o pxF}Nz $uvYxHztsorus orvHx;so9}>cNxHorupwcus } cNMxYo NrNo N orxHv$sorus orvHxFsko }>cNxYoMuN}pxF}Nzw(c$Nq?xHoru 2 * | sztNus |Mo#?o NMd }NoMv Z + ,B864C*7>64D <>, d7>:;64<>:*3PC., H,.C*C.,S?5*3P6`:R6 C.,"!O@ ,W- 1=OE38D #*,15$7>B`,fU C.34D 64D 79<97 5X=OE64- S5$C*@,_U C.34D 64D 79<97 5X=OY t

p(θ|ξ)

p(θ|heads,ξ)

→

x 0

0.2

0.4

0.6

0.8

0

1

0.2

0.4

0.6

0.8

1

0

0.2

0.4

θ

θ

0.6

0.8

1

θ

bor c$sz ~ N sH|$}Norqt|- ztNorq?xHoruuwjxF}Nz cNvHz'uw |&z?v bxF}Nz?usz xHu q?u >cNxYz'xF}Nzp$uvHxYztsorus $su }$|}NoMrorx orvHFx so9}>cNxHoruCu-wbxF}Nz4$}vHorqt|-b$su }$|}NoMrorx d

$suNq?z c$sz ro v ztNorq?xHz sY|$}Norqt|-rMpo bor c$sz d ~ vz h Bz?q?xHz e x;}Nz$uvHxHztsorusiorvvF}No wcxHz xHu xF}Nz sor}x | orviHv roMN}xHr'$|sYsu*g zts d o or |sr o wSg{zu }NvHzts z4|4vYo NMzxF|oMrv g zuN}NxF|-o 9 !%\ * eK ztNztsH|- o wSg{zu }NvHzts z }Nzt| v| !{xF|-orrvo x;}Nz |-xF|}$|-vHz x;}Nzt:g z4}$| z ! ' % !" %\ _ Q }$|-x orv uNq?zg{z }$| z|-vHvHz?vYvHz |p$sorus orvHxFsko }>cNxYoMuN#wcus N g{z qt| z?xYzts o NzorxHv $uvHxYztsorus orvHxFso9}>cNxHoru o ztS|S$uvHvHo9}Nrz |-xF|}$|vHzd ~uxHz'xF}$|x xF}Nz'uNs zts o g }Norq?}g{zCu }NvHzts zCxF}Nz u cNxHq?u z?v orv o sHskz?Mz |xxHu xF}Nzp$uvHxYztsoruWs |-rixF}$|-x orvsz?rz |xorv xF}Nzp c }Bzts u-w4}Nzt| v| xF}Nz Nc }Bztsu-w)x;|-orMv o pxF}Nz |-xF|}$|vHzd z v;|tx;}$|-x | !|sz| p A :@qso@tMvmprvxlvxq p vx=q : wcusixF}Nz |-xF|}$|-vHzd e gxF}Norv vHo Nrz z h$| Nrz u c$s u cNxHq?u z |so |}Nrz@}$|v uNrgxg{u vYxF|-xHz?vP ol , p | vxl9q 2 p d ~ uQg o |-o Nz g z }$| zp| orvHqtsz?xYz
4 d z |-vYv$c z{xF}$|-xbzt|-q?}vHx;|-xHz{orvBuvHvHo9}NrzivHu4xF}$|xbzt|-qQ} S d eK | $ orxHoru g{z }$| z d ~ rvHu o w/g{zkfNNu*gSxF}Nz?vHz$}vHorqt|-e$suN}$|}NorMorxHorz?v xF}Nzt xF}Nz u cNxHq?u zu-wbzt|-qQ } YxHuvHv u-w g oMr/}Bz4q?u orxHoru$|Mrpo zt$zt ztxu-wbxF}NzuxF}Nzts{xYuvHvHz?v | * & 9Z A 8 O A _ ~ |-x;|}$|-vHzu-wbu cNxHq?u z?v

` 4xF}$|-xv;|-xHorv+z?vixF}Nz?vHz4q?uN oMxYoMuNNvoMviqt|-rrz | @ , $q Io@t>p qsytMl 2Z A72vxqstMy Gqsl 2 prl # 2oIw2qsv np =q :l 2Az+y 14l 1 =q 2#qsvxqFo p & uNu eA&\ d }Nzt $ |-vo pxF}NzxF}Nc }NxF|-q fz h$| Nrz x;}NzvYz b cNztNq?z orvvF|-o xHu}Bz | 1 qstM\y Iqsl 2 pr\l 2#od }Nzq?uNq?ztNx

!

u-w)| cNrxHo Nu o |-vF| Nrz5c| orxHvztNztsH|Mo#t|-xYoMuN xF}NzsH| u vF| Nrz gorr2}$z4q?ztxFsH| xYu xF}Nz sz |o No N orvHq@cNvHvHoruNvo x;}NoMv$|Bzts d ~ $|-ruuNcNvxHuxF}Nz4x;} c }NxF|-q fz h$| Nrz g z}$| z *

&

ro vu c$s$sku }$|}NorroMxxF}$|-x o gxF}Nz Nz hxqt|-vYzd ~ uxHzpxF}$|x }$z?qt|cNvYz

xF}Nz orvHxFso9}>cNxHoru wcus PoMvCxHz?q?}$NoMqt|Mr | orvHxFso9}>cNxHoru u zts x;}Nz |sko |}NMz?v

4wcus{vHu z _xF}NzvH }$u ztNuxHz?vvYz?x o ztskztNq?z d ~ rvHu o ztC| |xF|}$|-vHz

u-wbu cNxHq?u z?v g z4}$| z _ t g }Nztsz

g N} ztsz oMvixF}Nz4Nc }$zts{u-wbxHo z?vc & o | orv | Nus |-ro#t|-xHoruq?uNNvHxF|x@d2~uxHzxF}$|-x xF}Nzq?u c$xHv A 8 |sz4|v$c q?oMztxivHxF|-xHorvHxYoMqiwcus{x;}Nz cNrxHo Nu o | vF| Nrzd & o zt | cNrxHo Nu o |-]vF| NMz |\cNvHzts{orv wKsz?z xYu |vHvHz?vHv{| $su }$|}Norrorx orvHxFso9}>cNxHoru w0uNs d eK$sY|-q?xHorq?z }Nu*g{z zts uNzu-wcxHzt:cNvHz?vxF}Nzo sorq?}NMz?x orvHxFso9}>cNxHoru }Bz?qt|cNvHzorx }$|-vvYz ztsH|-]q?u z Norztx$suBztsxHorz?v@d }Nz |so |}Nrz?v |szv;|-o xHu }$| z| qFzq=: 2#o@v , q prvxzq41 ANvxqFytRw2qFvo 8 ytMo@tWvsp 8 g }Nzt xF}Nz4$su }$|}NoMrorx orvHxFso9}>cNxHoruCu-w oMvio zt }

S @

g N} ztsz orvxF}Nz l\ Il wcNxYoMuN g{z |-rvHuvF|&CxF}$|-x q9pqFzq9: 2#o@v ) }Nz z h$$uNztxHv cNvHxJ}$zszt|xHztsxF}$| xHu c$|sH|xHz?z xF}$|-xbxF}Nz orvHxFso9}>cNxHoru qt|:}$zNus |-ro?z d ~ uxHz{xF}$|-x xF}Nz{z h BuNztxYv |sz | w(c$Nq?xHoru uw xF}NzcNvYzts v)vYxF|-xHz{u-w]o wcus |-xHoruTMd }Nzt $ xF}Nzo sorq?}NMz?x orvHx;so9}>cNxHoruCoMvi|-rvHu5fNNuQgi|-v 6 | 14o@vxl , q prvxzq 1 A vxqsytWd }Nz4$su }$|}NoMrorx orvHxFso9}>cNxHoru u xF}Nzrz;w0x+ }$| KvHo z u-w\bor c$sz orv | }$z?xF| oMvYxFso9}>cNxHorugorxF} z h BuNztxH v | ! " d }Nz#$su }$|}Norrorx orvHxFsko }>cNxYoMuNugxF}Nz sor}x+ }$| KvHo z#u-wxF}Nz c$skzcNxHoru gorxF} z h$$uNNztxH"v # | ! " d ]su Kb c$|xHoru t$ g{zvHz?zCxF}$|-x o w4xF}Nzp$sorus orvHx;so9}>cNxHorugu-w 2oMvo sorq?}Nrz?x xF}Nzt xF}Nz $uvHxHztsorus orvHx;so9}>cNxHoruCu-w o zt |-xF|}$|vHz Z A 8 ` -4orv |-rvHu o sorqQ}Nrz?x

_

$

t

z vF|&pxF}$|-x4x;}Nz o sorq?}NMz?x oMvYxFso9}>cNxHoru#orvq?MuvHz c$ zts cNrxHo Nu o |vF| Nro N uNsxF}$|-x xF}Nz o sorqQ}Nrz?x orvHxFso9}>cNxHoru oMvi| :yt 8CA3- lvxo / l\Iq=2#nIy0/ , q p vxz$q41 ANvxqFyt>pbwcus cNMxYo Nu o |-evF| NMo NMd ~ MvYu g }Nzt }$|-v)|io sorq?}NMz?x orvHxFsko }>cNxYoMuN x;}Nz z h$$z?q?x;|-xHoruu-w Sz b c$|$xHuxF}Nz$su }$|}Norrorx xF}$|-x

t

&

o xF}NzC svYxu }NvHzts |-xHoru $} |-v|vHo Nrz z h $sz?vYvHoru

*

B

g }Nztsz d ~ vg zvF}$|M vHz?z xF}Nz?vHz $su$ztskxHorz?v |fzx;}Nzo sorq?}Nrz?x |cNvYz;wcNxHoru orv{o zt5}o >frzts\ t d }Nz?vHz z?xF}Nu vo Nq? c zpxF}Nz o sz?q?x |-vHvHz?vYv ztxuwx;}Nz'$su }$|}Norrorx orvHxFso9}>cNxHorucNvYo NRb cNz?vHxYoMuNNv sz |s o N sz? |-xYo z'|szt|-v |-vYvHz?vHv ztxu-w xF}Nz q@c cN |-xHo z orvHxFso9}>cNxHoru wcNxHoru2o zt }$$uxF}Nz?xYoMqt|)z o ztNq?z | |-vHvYz?vHv+ ztx o #xF}Nzwcus u-w|#z b cNo |-rztxvF| NrzvHo#?zd }Nz?vYz z?xF}Nu v qt|}$zCztNztsH|-ro#?z gorxF} |so N o q@cNrx xYu xF}Nz4Nu}No $|sqt|vHzd }Nzz b>cNo |-rztx+KvF| NMzKvYo?z z?xF}Nu ztNztsY|-ro?z?v$|sxHorq@cN |sr g{z?rd }Nz z?xF}Nu orvI}$|-vHz uKb c$|-xYoMuN B $ g }NorqQ} vF|&v x;}$|-xIg zqt|S|-vHvYz?vHv |po sorq?}NMz?x orvHxFso9}>cNxHoru} |vHvHz?vHvHo N#xF}Nz $su }$|}NoMrorx oMvYxFso9}>cNxHoru * ; wcus xF}Nz Nz hxuN}NvHzts |xHoru | d e vHu uo N g{z |& sz g skoMxYz\2b>c$|-xHoru |v

g }Nztsz orv | NuNs |-ro#t|-xHoru q?uNvHxF|x@d ~ vHvHz?vHvHo N *_ orvivHxFsH|oMN}xwcus+g|s dAc$skxF}Nzts uskz xF}Nz wcurMu*go N x+g uu }NvYzts |-xYoMuNNvv$cNz?vYx |vHo Nrz z?xF}Nu w0uNs |vHvHz?vHvHo N d }Nz |so |Nq?zCu-w4| orvHxFso9}>cNxHoru wcus porv |#o orqt|-xHorugu-w4}Nu*g cNqQ}#x;}Nz zt|#uw

orv z h$$z?q?xHz xHuCqQ}$|Nz o ztPNz g u }NvHzts |-xHoruNvd }Nz }Nor}Nzts xF}Nz |so |Nq?z xF}Nz szt|-xHzts xF}Nz z h$$z?q?xHz qQ}$|NzdSecxorvivHu z?xYo z?vvF|-o x;}$|-x{xF}Nz |so |Nq?z4orv | zt|-v$c$szuw |ucNvYzts v:yt , o@t :$o o xF}Nz zt| wcus d }Nz |so |Nq?z u-w x;}Nzo skoMq?}Nrz?x orvHx;so9}>cNxHoruCoMvio zt } * & * & t

> }NcNv orv| s@z !z?q?xHoru u-wbxF}Nz\cNvHzts v q?u ztNq?zd e | $ oMxYoMuN vc$$$uvHzCg{zg{ztszo NorxHo |-rrq?u Nrz?xHz?r orNuNsH|x |}Bu cNx | u |-o SxF}$|-x orv u c$s orvHxFso9}>cNxHoru g|-vo zt }PKb c$|-xYoMuN gorxF}Czt|-qQ}Cz h$$uNztx d c$$BuvHzug{z xF}Nzt2vF|g qt|-vHz?vIgorxF}2v$c q?orztxvHxF|-xHorvHxYoMq?v 8 d }Nzt } 2b>c$|-xHoru t$ u c$s$sorus g{u cN }BzxF}Nz4o sorq?}NMz?x orvHxFso9}>cNxHoruCo zt }2b>c$|-xHoru d } cNv g{z qt|P|-vHvHz?vYv |-v|@o ?BAN=q <l 2#o@tMvBp \l 2#o:prq ro xF}Nz c }$zts u-w u }NvHzts |-xHoruNvIg{z g{u cN }$| z }$| xHu'}$| zvHz?ztpvHx;|sxHo N w su q?u Nrz?xHz orNusY|Nq?z o pus ztsixYu'}$| zx;}Nzv;| z q?u ztNq?zpo xF}$|-xug{zp|-q?x$c$|-rrS}$| zdus z h | NMz g{z g uNcN u }NxF|-o xF}Nz<$suN}$|}NorMorx + 7>:_UC*7>38CPSA7>:*5$C*79D @5$7>38-168-- 3O5_D\, -38C.NP64<97>b,QS E 64- ST7>::*3`NP,5$7>NP,:1Q64<9<>,S!64- 3PD\,PNP38C.,

Z U C.,1W7>:*,OE Z ,;:$+38@<>S0:*68=?5$+ 6O5R,6`1 +g,O U\34- ,W- 5R7>:_,"!O@ 64<M5*3P:*3ONP,-A@ NfD\,.C_1.<>3O:*, 5*3Pb,WC.3 Y B

ro vHxFso9}>cNxHoru w0uNs o :boMNc$sz o w/g{z|-vHvHz?vHvYz ' % xHuG}Bz E | x;}Nzz b cNo |MztxvF| Nrz vHo#?z4xYu5}$za zd u#wK|s g{z }$| zpuNr q?uNvHo ztsz | |sko |}NMz gorxF} orvHqtskz?xHz u cNxHq?u z?v@d eK ztNztsH| g{z qt|go |-o NzP|P$}NvHorqt|-4$suN}$|}NorMorx orvHxFsko }>cNxYoMuN u zts| |so |}Nrz orvHqtsz?xYz us q?uxHo cNuNcNv wKsu g }NorqQ} |-xF|}$|vHz qt|vHz?v |sz sY|@giW|-x sH| u d }Norv $}NvHorqt|- $su }$|}NoMrorx orvHxFso9}>cNxHoru x Norqt|-rrqt|}BzpqQ}$|sY|-q?xHztso#?z }S| NorxHzpvHz?x u-w lz+l\Iovxo@z4prd e_wx;}Nz'u cNxHq?u z |so |}NrzpoMv orvHqtsz?xHz x;}Nzt'x;}Nz$}vHorqt|-)$sku }$|}NorroMx oMvYxFso9}>cNxHoru }$|-v| $|sH| z?xYztsq?usYsz?vF$uN o NxYu zt|-q?} $}vHorqt|-)$sku }$|}NorroMx o CxF}Nz orvHxFso9}>cNxHoruc| e }Nztskz?o g{zvYu z?xHo z?v4sz;wcztsixHu xF}Nz?vHz $}NvHorqt|- $su }$|}NoMrorxHorz?v|-v $|sY| z?xHztsv d/e0w x;}Nz u cNxYq?u z |so |}Nrz orv{q?uxHo cNuNcNv xF}Nz $}vHorqt|-e$suN}$|}NorMorx orvHxFso9}>cNxHoru |&P}$zP_zd Md |'Nus |- orvHxFsko }>cNxYoMuNEd eK2xF}Norv qt|-vYz x;}Nz $|sY| z?xHztsvg{u cN }Bz xF}Nz zt|S| S |so |Nq?zpu-wjx;}Nz orvHxFso9}>cNxHoruEd ~ |-x;|}$|-vHzu-w4qt|vHz?v sH|g w su |W$}NvHorqt|- $su }$|}NoMrorx orvHxFso9}>cNxHoruCorv uw0xHzt qt|Mrz |z+lt , \y p \l 2#o ) & o zt vcNqQ}#|'$}vYoMqt| $su }$|}Norrorx orvHxFsko }>cNxYoMuN gorxF} c$>fNNu*g #$|sH| z?xYztsv g{z qt| c$ |-xHz u c$sS}Bz?Morz;wcv |}Bu cNx)xF}Nz?vYzj$|sY| z?xHztsvbo zt | sH| u vF| NrzwKsu xF}Norv orvHxFso9}>cNxHorucNvYo N xHz?q?}$No#b cNz?vCvHo or |s xHuWx;}NuvHzg{zp}$| z orvHq@cNvHvHz d us sY| u vF| Nrz?v wKsu |S$| z orvHxFso9}>cNxHoruNv So Nq?sc oDNNuNs |- & | | | c$No wcus oMvYxFso9}>cNxHoruNv SxF}NztskzSz hNoMvYxcNxHoruNv4v;}Nu cN szt| z & suNux\ t B }$|NxYzts d

J YLV\`V YZ5G` `+XA` V\Z VCXMYL]\_LX]Y

}NzNuxHoru u-w |sH| u vF| Nrz{ztNztsH|Mo#?z?v{xHu u |-o Nvbq?ux;|-o No N usz{xF}$|4uNNz |sko |}NMzi|-v g{z?rd & o zt| u |-o Z A 8 O g{z qt| o |-o Nz4| cNrxHo |so |-xYz4$}NvHorqt|- $suN}$|}NorMorx orvHxFso9}>cNxHoru w0uNs Gd e_w q?ux;|-o NvuNNM oMvYqtsz?xHz |so |}Nrz?v x;}NoMv orvHxFsko }>cNxYoMuN#oMv cNvHx| NoMxYz q?urrz?q?xHoru u-w orvHqtsz?xHz $}NvHorqt|-$su }$|}NorrorxHorz?v@dJe_w Pq?ux;|-o NvbuNrq?uNxHo NcNu cNv |so |}Nrz?v xF}Norv oMv xFso9}>cNxHoru q?uNcN }$z50zd Md | cNrxHo |so |-xHz Nus |- oMvYxFso9}>cNxHoru q?}$|sH|-q?xHztsko?z } | zt| z?q?xHus | q?u |so |Nq?z |xFso#hAd & o zt |4sH| u vF| Nrz w sku |$}NvHorqt|-e$su }$|}NoMrorx orvHxFso9}>cNxHoru g{z qt|:c$ |-xYz u c$s{$soruskv|}$u cNx xF}Nzj$|sH| z?xHztskv)u-wexF}Nz orvHxFso9}>cNxHoruEd }Norvc$ |-xHo N orv{z?vFBz?q?o |Mr vHo NrzIg }Nzt q?u cN|-xHz4$skoMuNsv{wcus{xF}Nz4$|sY| z?xHztsvi|sz4| |-or |}Nrz 0vHz?z4z & suux & d ~ u*g }Nu*g{z zts rz?xGcNvq?uNvYo zts xF}Nz wcurruQg o N g sko >frzd c$$BuvHzug{z5fNNu*g xF}$|-xixF}Norv cN xHo |so |-xHzW$}vYoMqt| $sku }$|}NorroMx orvHx;so9}>cNxHoru qt| }$z#ztNq?u z o vYu z $|sxHorq@cN |s |&z?vHo | Nz?x+g{usfivHxFs4cNq?x$c$sz d z |&4}$| z)uxHxHztx;}NoMvbo wcus |xHoru Pw0uNsz h | NMOz PwKsu uNc$sqt|cNvF|- fNNuQg Mz z |}$u cNxixF}Nz u |-o EdeKx;}NoMvvYz?q?xHoru g{z4q?uNvHo ztsixF}Nz xF|-v$f uw)Mzt|sHNo NxF}Nz$|sY| z?xHztsviu- w d{ z orvHq@cNvYv uNrCxF}Nz4vFBz?q?o |- qt|vHz\g }Nztskz|-rxF}Nz |so |}Nrz?vo |skz oMvYqtsz?xHz |

g N} ztsz xF}Nz sY| u v;| Nrz0od zd |-xF|}$|-vYz , 8 q?uxF|-o NvNu oMvYvHo N |xF| xF}$|-x oMv zt|-q?}qt|vHz q?uNvHorvHxHviu-w)xF}Nz u }NvHzts |-xHoruuwml292$xF}Nz |sko |}NMz?vo g zv;|tx;}$|-x oMv :\y 2#o@vxo dke z?q?xHoru $ g{z4q?uNvHo zts xF}Nz uNsz o q@cNMx$su }Nrz g }Nztsz q?uxF|-o Nv orvHvYo N |-xF|d c$xHo Nz t*N | z?qrfzts |P| & z?orzts t* orvHq@cNvHvxF}Nzqt|-vYzg }Nztsz |& q?uxF|-o q?uxHo cNuNcNv |so |}Nrz?v@d }Nzt | |xF|}$|-vHz orv |sH| u vF| NrzwKsu | cNrxHo |so |-xHz$}NvHorqt|-{$su }$|}Norrorx oMv xFso9}>cNxHoruCxF}$|x qt| }BzztNq?u z o g{zvHo Nr'v;|tx;}$|-x orv4|sH| u v;| Nrz w su Ed ~ v |2z h | NMz q?uNNvHo zts xF}Nz u |-o q?uNvHorvHxHo N#u-wxg{u }No $|s |so |}Nrz? d]z?x v S|

|

ztNuxHz xF}Nz$|sH| z?xHztskvG_oxd zd $}vHorqt|-b$su }$|}NoMrorxHorz?v w0usxF}N. z uo xivF$|-q?z orv w |-rvHz | vHu u-w g }Nztsz

orv x;}Nz $}NvHorqt|-e$su }$|}NoMrorx u-wexF}Nziz ztxSg }Nzts?z oMv xFscNz| uEd<~uxYz xF}$|x o cNvYo N xF}Nzu zts}$|s g{z4|sz zt$|sxYo N wKsu u c$s vHxF| |s NuxF|-xYoMuNEd }Nzt vF|&No Nx;}$|-x oMv|sH| u v;| NrzwKsu xF}Nz Nz?x+g{usfvYxFscNq?x$c$szq?uxF|-o No N<Nu'|sq5}$z?x+g{z?zt orv4xF}Nz|-vHvHztskxHorupxF}$|-x xF}Nz $|sY| z?xHztsv u-wxF}N-z uo x vF$|-q?z vF|-xHorvwcpxF}Nz o ztBzt ztNq?z #| q?uNvHx;sH|-o xYv

e| vHuu g }NztskOz Pw0us z h | NrOz

oMv xF}Nz $}vHorqt|-$sku }$|}NorroMx |-vHvYuq?o |-xHz gorxF} xF}Nz{z ztxLg }Nzts#z orvbxFs4cNzd7e xborv)Nux o q@cNrx)xHuivF}Nu*gPxF}$|-x xF}Norv|vHvHztsxHoru@oMvz b>cNo |-rztxxYu'xF}Nz |vHvHztsxHoru@xF}$|-xxF}Nz |xF|}$|-vHz qt|P}Bz z?q?u $uvYz o xHu x+g{u cNMxYo Nu o |-bvF| Nrz?v xF}Nzu }NvHzts |-xHoruNvu-w p|skz| cNrxHo Nu o |-bvF| NMzIgorxF}p$|sY| z?xHzts

| xF}Nz4u }NvYzts |-xYoMuNNvu-w |skz4| cNMxYo Nu o |- v;| NrzgorxF}'$|sH| z?xHzts d ~ v|NuxF}Nzts{z h$| Nrz v$c$$BuvHzIg{z|-vYvHztsxxF}$|x | |xF|}$|-vHz w0uNs{u c$s xg{u |so |}Nrz u |-o oMv | sH| u vF| NMz w sku xF}Nz4Nz?x+g{usfvYxFscNq?x$c$s0z dS ztsz x;}Nztsz4|sz4Nu q?uNvHxFsY|-o xHv u xF}Nz $|sH| z?xHztsvu-w x;}Nz uo xbvF$|-q?zdLAc$sx;}Nzts usz x;}NoMv)|vHvHztsxHoru o Nrorz?v{xF}$|-xbxF}Nz |-xF|}$|-vHz)orv | z c$ u-w |-x uvHx xF}$sz?z}No Nu o |-evF| NMz?v @ xF}Nz uN}NvHzts |xHoruNv{u-;w |sz|G}No Nu o | v;| NrzgorxF} $|sH| z?xHzts x;}Nzu }NvHzts |-xHoruNv u-w o x;}NuvHzqt|-vYz?vk_o w | g }Nztskgz orv)xFscNzi|sz |}No Nu o |- vF| NMz^gorxF}p$|sH| z?xYzts | x;}NzuN}NvHzts |xHoruNvu-w o pxF}NuvHzqt|-vYz?v5_o w| gi}Nzts! z orvwK|-rvHz |sz |:}No Nu o |-)vF| NrzugorxF}p$|sH| z?xHzts d4uNvHz b>cNztxHr xF}Nz uNq?q@c$sHsztNq?z?v4uw po o qt|-vYz |sz q?u orxHoru$|-rrWo zt$zt ztx |szq?u orxHoru$|-rr#o ztBzt ztx o zt | u-wxF}Nz uxF}NztsuNq?q@c$sHsztNq?z?v uw o o zt | 2o qt|vHz d z qt|pNsH|$}Norqt|-rr szt$sz?vYztx xF}Nzq?u orxHoru$|-Ko z9Bzt ztNq?zP|-vHvHztskxHoruNv |vHvHuNq?o |xHz gorxF}Px;}Nz?vHz<sH| u vF| NMz?v cNvHo N| |tz?vHo | Nz?x+g uNsfvHxFs4cNq?x$c$sz4|-vv;}NuQgi o bor c$sz |>d & o zt xF}Nziq?urMz?q?xYoMuNu-w sY| u vF| Nrz?vvF}Nu*g o :bor c$skz | orx orvxYz NxHo N xHu |$Nr u c$s uNz |so |}NrzxHz?q?}$Nob>cNz?vxHurzt|sH2zt|-q?} $|sH| z?xHztsivHzt$|sH|xHz?rd iwcusx$c$$|-xYz?M xF}Norv|$$su|-q?} orvjNux q?usYsz?q?xg }NztCxF}Nz$|sH| z?xYztsv |sz ztBzt ztx|-vvF}Nu*g o xF}Nza c$szdus{z h$| Nrz |-v g{z vYz?z uNq?q@c$sHsztNq?z?v ugw P| c$ |-xHzuNc$sG}Bz?roMz;wcv|}$u cNx u c$s\}Bz?Morz;wcv |}$u cNx | gorr)|-rvHuq?}$|Nzd c$$BuvHz }Nu*g{z zts xF}$|-x|-rbu-w)xF}Nz $|sY| z?xHztsv|szo zt$zt ztx |-vivF}Nu*g o bor c$sz }Ed }Nzt $su o z xF}Nz |xF|}$|-vHz orv q?u Nrz?xHz g{zqt|c$ |-xHzzt|-q?}S$|sY| z?xHzts vHzt$|sY|-xHz?rd t

θ y|x

θx

θ y|x

θ y|x

θx

θ y|x

x

y

case 1

x

y

case 1

x

y

case 2

x

y

case 2

M

M (a)

(b)

bor c$sz Jc| ]~ |&z?vYo | Nz?xg{us4fivHxFscNq?x$c$skzbwcusb|x+g{u*}No $|s |so |}Nrz u |-o )vF}Nu*go N q?u orxHoru$|-o ztBzt ztNq?oMz&v<|-vYvHuq?o |-xYz g oMx;}PxF}Nzp|-vHvHztsxYoMuNPxF}$|-x xF}Nz |-x;|}$|-vHzorv'| sH| u vF| NMz wKsu xF}Nz vHxFs4cNq?x$c$sz d x} ~ NuxF}Nzts |tz?vHo | Nz?x+g uNsfpvHxFs4cNq?x$c$sz vF}Nu*go N xF}Nz | $ z |-vHv$c NxYoMuN u-w $|sH| z?xHzts o zt$zt ztNq&zd e CxF}Nzsz |-o ztsiu-w)xF}NorvvHz?q?xHoru g{z4v;}$|-r)|-vHv$c z xF}$|-x|-r $|sH| z?xHztskvj|skz4o zt$zt ztx@d zpqt|-rxF}Norv<|vHv$c NxHoru So xFsu cNq?z } Norz?z? }$|-rxHztsp| e|c$sorx?zt t lz+l\Io@vxoz qst , o o@t , o@t :$od/e z?q?xHoru $ g z orvHq@cNvYv z?xF}Nu v{w0uNs}$| ro N ztBzt ztx4$|sY| z?xHztsvd u'q?u Nrz?xHz x;}Nz orvHq@cNvHvYoMuN g{z Nz?z vHu z NuxF|-xHoruEd ]z?x ztNuxHz xF}Nz |-vYvHztsxHoru_us } BuxF}Nz?vHorv xF}$|x'| |-x;|}$|-vHz orv<|#sH| u v;| NrzpwKsu | |&z?vHo |Nz?x+g{usf#vHxFs4cNq?x$c$sz d & o zt2xF}Norv Nz?x+g{usfCvHxFs4cNq?x$c$sz rz?x }BzxF}Nz c }$zts u-w vHxF|xHz?v4u-w |so |}Nrz | Mz?x }$z xF}Nz Nc }$zts u-wvHxF|xHz?vu-w / d5 z?x ztNuxHz xF}Nz $}NvHorqt|- $suN}$|}NorMorx u-w & o zt / dSe | $ orxHoru rz?x

o q?u c$Nq?xHorugorxF}

~ uxHzixF}$|-x{xF}Nz4$|sH| z?xHztsv ro xHorz?v uw xF}Nz.uo xvF$|-q?zd z?xcNv |-vHvc zxF}$|-xzt|qQ} |so |}NrzvHz?x g }Nztsz g }Norq?}

z?xHzts o Nz|-r]xF}Nz4$}NvHorqt|- $sku }$|}Nor

}$|-v| o skoMq?}Nrz?x orvHxFso9}>cNxHoru

orvixF}Nz4Nc }Bzts{u-wbqt|-vHz?vo |-xF|}$|-vYz o $

orv | Nus |-ro#t|-xHoru q?uNvHxF|x@d }Nzt o w & | / ] g{zu }NxF|-o

g N} ztsz orv vHu zuxF}NztsNuNs |-ro#t|-xHoruCq?uNvHx;|xd2Ac$sx;}Nzts usz |$NrNo N2b>c$|-xHoru 3 xHu tz |-q?} cNrxHo Nu o |-evF| Nrz g{ziqt| q?u >cNxHzixF}Nz$su }$|}Norrorx xF}$|-x{zt|-q?} | / o $ xF}Nz4Nz hNx qt|vHzxHuu}$z vHz?zt'|&wcxHzts xF}Nz |-xF|}$|-vYz $

g }Nztsz

|

J YLV\`V C XMYL]\_LX]Y

;

t

d

Ke xF}Nz $skz oru cNv{vHz?q?xHoru g{zq?uNvHo ztsz xF}Nz vHorx$c$|-xHoru^g }Nztszg{z |szc$Nq?ztsxF|-o |}Bu cNxbxF}Nz$}Nv+ orqt|- $suN}$|}NorMorxHorz?v }>cNx{q?ztsxF|-o |}Bu cNxxF}NzNz?x+g{usf vHxFscNq?xc$sz x;}$|-x{ztNq?u z?vx;}Nz?vHz4$su }$|}NorrorxHorz?v@d ~ uQg v$c$$$uvHzug{z|skz4Nux uNNM c$Nq?ztsxF|-o p|}Bu cNx x;}Nz $sku }$|}NorroMxYoMz?v }>cNx4|-rvHuc$Nq?ztsxF|-o p|}Bu cNx xF}NzvYxFscNq?x$c$sz xF}$|-x)ztNq?u z?v{xF}Nz d ~ vig oMx;} |vYz?x)u-wez ztxHv g z qt| z h$$sz?vHv xF}Norvc$Nq?ztsxF|-o x }'|-vHvHorNo N<| $sorus$suN}$|}NorMorx xYu zt|-q?}<BuvHvHo9}Nrz } BuxF}Nz?vHorv dAc$skxF}Nzts uskz g{z qt|c$ |-xHzxF}Nz?vHz$su }$|}NoMrorxHorz?v4|-vJg{zvHz?ziqt|-vHz?v@dSe vHu uo N g{ziMzt|sH|}$uNcNxxF}NzivHxFscNq?x$c$skz u-w xF}Nz u |-o Ed ~ vo x;}NzW$sz oMuNcNv
xF}Nz?uskz g{zj}$| z ; t g }Nztsz orv| Nus |-rot|xHoruq?uNvYxF|x@d ~ rvHu w su x;}Nz$su cNq?x scNrz g z4}$| z

_

L

A

z qt|z |-9c$|-xYzzt|-q?}xHzts u xF}Nzsor}x }$| KvHo z u w x;}NoMv z b c$|xHoruucNvHo NGKb c$|xHoru t$ c$ zts xF}Nz|-vHv$c NxHoru x;}$|-x)xF}Nz |-Fx |}$|-vHz orv{q?u Nr z?xHzd } cNv g{zuN}NxF|-o x;}NzjBuvHxHztsorus{$suN}$|}NorMorx u- w o zt

>@

vHo N'x;}Nz?vHz $ uvHxHztsorus $ su }$|}NorrorxHorz?v | Kb $c |-xYoMuN t$ g z |&'q?u > cNxYz xF}Nz $suN}$|}NorMorx orvHxFso9}>cNxHoru wcus Fx }Nz<Nz hNx tq |-vHzCxHu }Bz
_

$

N} ztsz |sz xF}$sz?z o $uNsxF|xBuo xHvxHu }$z | z |}Bu cNx4x;}NoMv |$$sku|-q?}Ed Nz orxqt|#}$| $zt xF}$|-xx+g{u |&z?vHo | Nz?x+g{usfpvHx;scNq?x$c$sz?v szt$sz?vYztx z h$|-q?xHr#xF}NzvF| z vHz?xYvuw $suN}$|}NorMorx orvHxFso9}>cNxHoruNvd z vF|& xF}$|xxF}Nz4x+g{uvHxFscNq?xc$sz?vj|szuo;?3A q9<@l 2otMvS zts | | zt|s /& dKus z h$| Nrz w0us xF}NzixF}$sz?z |so |}Nrz u |-o R zt|-q?}u-wxF}Nz Nz?x+g{usf vHxFscNq?xc$sz?v | szt$sz?vHztxHvxF}Nz orvHx;so9}>cNxHoruNv\g }Nztskz | '|szq?u orxHoru$|-rr o zt$zt ztx u-w d {uNvHz b>cNztxYM xF}Nz?vHz Nz?x+g{usf vHxFscNq?xc$sz?v4|sz z b>cNo |-rztx@d ~ v4|NuxF}Nztsz h | Nrz 6 | :\y 2#o@vxo:tMovxw2yz{:p vx;z A7:@4v ANz+oorv4uNzxF}$|-x}$|-v4Nu orvHvYo NCz z?v SxF}$|xoMv orxztNq?u z?v Nu |-vHvHztskxHoruNv4u-wq?u orxHoru$| o ztBzt ztNqtzd ~ u |-o 2q?ux;|-o No N |so |}Nrz?v }$|v q?u Nrz?xHzNz?x+g{usf vHx;scNq?x$c$sz?v uNz4Nz?x+g uNsf vHxFscNq?x$c$skziw0us zt|-q?}$uvHvHo9}NrzuNs ztso N u-w x;}Nz |so |}Nrz?v@d ~ M q?u Nrz?xHzNz?xg{us4fpvHxFscNq?xc$sz?vwcus|Co zt u |-o #szt$sz?vHztxxF}NzvF| z uo x $suN}$|}NorMorx orvHxFso9}>cNxHoruNv $| z?r |-r BuvHvHo9}Nrz orvHxFso9}>cNxHoruNv | |szxF}Nztsz;wcuszz b>cNo |-rztx@d e PztNztsY|- x+g{uWNz?x+g uNsf vYxFscNq?x$c$sz?v|szz b>cNo |-rztx'o w | uNrSo w4xF}Nz?S}$| zCxF}Nz'v;| z vHxFs4cNq?x$c$szorNuso N|sq o sz?q?xHoruNv4| xF}NzvF| z KvYxFscNq?x$c$sz?vu zts | | zt|s & d ~ < p vx;z A7:@4v ANz+oorv | us ztsz xc$NMz5 R v$cNqQ} x;}$|-x{xF}NztszioMvi||sq w sku xHu | w su xHu }>cNxNu |skq\}$z?x+g{z?zt p| d vHo N xF}Norv q?}$|sH|-q?xYztso#t|-xHoruuw Nz?xg{us4f*KvHx;scNq?x$c$szz b>cNo |-rztNq?z }Norq f-ztso N t }$|-v qtszt|xHz |2z q?orztx|-rusorxF} w0us o ztxHo w0No NS|-r |tz?vHo | Nz?x+g uNsf vHxFs4cNq?x$c$sz?vxF}$|x|szz b cNo |-rztxxHu |o ztNz?x+g{usfvHx;scNq?x$c$szd & o ztpxF}$|-x orv4x;}Nz |vHvHztsxHoru@xF}$|-xxF}Nz $}vHorqt|-{$su }$|}NorrorxHorz?vwcusixF}N-z uo xv;$|-q?z u-w

qt|:}$zztNq?u z o xF}NzjNz?x+g{usf vHx;scNq?x$c$sz oMx wcurruQg v x;}$|-x{xF}Nzj}$$uxF}Nz?vYz?v|vHvHuNq?o |xHz gorxF} x+g{uz b cNo |MztxNz?xg{us4fvHxFs4cNq?x$c$sz?v cNvHxi}Bz o ztxHorqt|-xd{uNvHz b>cNztxYM x+g{u4z b>cNo |-rztx Nz?x+g uNsf vHxFs4cNq?x$c$sz?v cNvHx4}$| z4x;}Nz vF| zc$skoMuNs| $uvHxYztsorus $su }$|}NoMrorxdIusiz h$| Nrz o @xF}Nzxg{u |so |}Nrz u |-o R xF}Nz Nz?x+g uNsf vHxFscNq?xc$sz?0v | |szz b>cNo |-rztx | gorM }$| z{xF}Nz{vF| z$suN}$|}NorMorxdSe ztNztsH|- xF}Norv)$su$ztskx orv)qt|-rrz N8n >yv o prq p;o ?3A 9q <@l 2#ot :o )LeK ror}x u-wexF}Norv $sku$ztsx g z vF}Nu cN |vHvHuNq?o |xHzzt|-q?} }$$uxF}Nz?vYoMvJgorxF} |z b>cNo |-rztNq?z4q? |-vHv{u-w]vHxFscNq?xc$sz?v sH|-x;}NztsxF}$|P|pvYo NMz Nz?x+g{usfpvYxFscNq?x$c$sz | u c$s z?xF}Nu v wcus rzt|sHNo NSNz?x+g uNsfpvHxFs4cNq?x$c$sz vF}Nu cN |-q?xc$|-rM:}$zio xHztsH$skz?xHz |v z?xF}Nu v w0uNsbrzt|sHNo N z b>cNo |-rztNq?z4q? |-vYvHz?v{u-w Nz?xg{us4f4vYxFscNq x$c$sz?vIc|-rxF}Nu cN} w0us xF}Nz vF|f-ziu-wS}$sz oMx g{zu-wcxHzt}N9c$s xF}Norv orvHxHo Nq?xHoru d =OU\3O5$+ ,:$7>: ,"O! @ 7>B468<>,W- 1,+ 34<>S :fU C.38BO7>S,QS ,f79- 5*,WC*U C.,5Z68=`,:$7>64-H-,5 Z 34C*e :*5$C*@15$@ C.,::$7>NdU <>=06O:_C.,WU C.,:*,W- 5*6 ; 5$7>34- :3" 134- S^7>5$7>38-68,:*:E :*5$C.34- aO,.CPS , -7>5$7>38-:P3 64=`,:$7>64- -,5 Z 34C*e :, O 7>:*5 + ,WC.,P68C.1: + 64B`,d6#168@:*68<79- 5*,WC*U C.,5*6`5$7>34-GH,OY aY>E ,Q64C*< 68-S ,WC.NP6E 8 KWY _ ,1*eA,.C.NP64-0,5;645$+ 34@ a4+ 7>5[7>:[@ - C.,6O:*38-68D<>, 5*3d6`:*:$@N , + =OU\3`5$+,:$7>:;,"O! @ 7>B468<>,W- 1, Z + ,W- Z 34C*eA79- a Z 7>5$+c164@ :*64<Z68=O,:$7>68--,5 Z 34C*e :EA7>5[7>:3"H 5*,W

!

t

}Nz vHz?q?uN o $usx;|x$uo x |}Bu cNxxF}Norv |$$su|qQ}porv x;}$|-x o g sorxHo N 2b>c$|-xHoru $ g{z }$| z|-vHv$c z x;}$|-xxF}Nz'}$$uxF}Nz?vHorv z b>cNo |-rztNq?zpq? |-vHvHz?v |sz cNx$c$|-rrWz hNq?9cNvHo zde Sszt|-rorx xF}Nz?vHzp}$$uxF}Nz?vHz?v|sz'Nux cNx$c$|-rrPz hq?9cNvHo zd usz h$| Nrz o gu c$s xg{u* |so |}Nrz u |-o }$uxF} Nz?x+g{usfCvHxFscNq?xc$sz?0 v | xF}Nz z Nx@Nz?x+g{usf vHxFscNq?xc$sz qt|2ztNq?u z$|sH| z?xHztsv vF|-xYoMvkw0No NWxF}NzCz b c$|Morx d }Nztsz;wcusz xF}Nzp}$$uxF}Nz?vHz?v|-vHvHuNq?o |-xHz g oMx;}PxF}Nz?vHzpNu z b>cNo |-rztx Nz?x+g{usf vHx;scNq?x$c$sz?viu zts |EdI~uNz?x;}Nz?Mz?vYv o pxF}Norv4|$$sku|-q?} g z |-vYv$c zxF}$|-xixF}Nz $sorusvu2$|sH| z?xYztsvwcus4| o ztWNz?x+g{usf vHxFscNq?x$c$skz }$| z5}Bu c$ z P ztNvHorxHorz?v | }NztNq?z xF}Nzu zts | uw } BuxF}Nz?vHz?vCgorr/}$z u-w zt|-v$c$sz?ztskuMd bo $|-rr o g skoMxYo N2b>c$|-xHoru $ g{z}$| zro orxHz u c$svHz? z?vixHu }$$uxF}Nz?vYz?v q?usYsz?vF$uN o N xHu'|-vYvHztsxHoruNv xF}$|-x4x;}Nz $}NvHorqt|-{$su }$|}Norrorx orvHxFso9}>cNxHoru2u-wxF}N-z uo x4vF$|-q?z q?u z?vwKsu uNz $|sxYoMq@cN |s Nz?xg{us4f'vYxFscNq?x$c$szdp2zqt|Wskz? |hWxF}Norv |vHv$c NxHoru |-vHv$c o N x;}$|-x4xF}Nz'$}NvHorqt|- $su }$|}NoMrorx orvHxFso9}>cNxHoru qt| }Bz ztNq?u z o | provu-w Nz?x+g{usf#vYxFscNq?x$c$sz?vd eK xF}Norv<$|Bzts }Nu*g{z zts g{z u Nux >c$svcNz4xF}NorvztNztsY|-rot|xHoruEd e '$so Nq?o Nrz xF}Nz|$$su|qQ}:g{z4}$| z orvHq@cNvYvHz o xF}NorvvHz?q?xHoru oMviz?vHvHztxHo |-rr<|-rxF}NztszorvxHu rzt|sHNo N'Nz?x+g{usfvHx;scNq?x$c$szdJeKp$sH|-q?xYoMq?z g }Nzt xF}Nz\cNvHztsC}$z?rorz z?v4xF}$|xuNr'| wcz g|-rxHztsY$|-xHo z Nz?x+g{usf vHxFs4cNq?x$c$sz?v|sz $uvHvYo }Nrz }Nz qt| o skz?q?xHrW|-vHvHz?vYvxF}Nz $sorusviwcusixF}Nz $uvHvYo }NrzNz?x+g uNsf vHxFs4cNq?x$c$sz?v4| x;}Nz?o s$|sY| z?xHztsv | v$c>}NvHz b>cNztxHr cNvHz5Kb c$|-xYoMuNNv > | # usixF}Nz?o s zt ztsH|-ro#t|-xHoruNv w0us q?uxHo cNu cNv |so |}Nrz?v | orvHvYo N |-xF|>d us z h | Nrz i c$xHo Nz t*N }$|-v z?vHorNz | vHu-wcx+g|szvHNvHxHz g }Nztsz@}<|:cNvHzts vF$z?q?oz?v }Norv4$sorusviwcus| vHz?xiu-w $uvHvHo9}Nrz u z?Mv cNvHo N |&z?vHo |'Nz?x+g{usfvio p| |$Nzts vHo or |sixHu xF}$|-xivF}Nu*g o bor c$sz d }NzvHNvHxHz xF}Nzt q?u Norrz?vxF}NorvvFBz?q?oqt|-xHoruCo xHu |q?u >cNxHztsi$suNsH| xF}$|-x{rzt|sHNv w sku | |-xF|}$|vHzd ~ uNz?xF}Nz?rz?vHv x;}Nz c }Bztsu-w Nz?x+g{usfvYxFscNq?x$c$sz?v w0uNs| u |o @q?ux;|-o No N |so |}Nrz?voMv uskz x;}$| z h BuNztxYo |o Ldb{uNvYz b cNztxHr g }Nzt xF}NzcNvHzts qt|$Nuxbz hNq? c z|- uvYx)|-ru-w]xF}Nz?vHz Nz?x+g{usfvHx;scNq?x$c$sz?v xF}Nztskzj|skzvHz ztsH|-orvHv$cNz?vixF}$|-x cNvHx}$zq?uNvHo ztsz dJeKC$|sxHorq@cN |s q?u >c xF|-xYoMuN$|-eq?uNvHx;sH|-o xYv qt|p$sz ztxcNvwKsu v$c o Nu zts |-r xF}Nz } BuxF}Nz?vHz?vio 2b>c$|-xHoru d |Rg{z |$$su*hNo |-xHz $ ^ |-q?q@c$sH|-xHz?r }Wsz?x;|-o No N2uNrW|Cv |-rbwKsH|-q?xYoMuN u-wixF}Nz?vHz } BuxF}Nz?vHz?v o xF}Nzv$c e_wevHu gi}NoMq?} }$$ux;}Nz?vHz?v)vF}NuNcN g{z{o Nq?9c z e | $ orxHoru }Nu*gPqt|Ig{z z q?orztxHr<|-vHvYoMN'$sorusi$su }$|}NorrorxHorz?v4xHu xF}Nz |'Nz?x+g{usfvYxFscNq?x$c$sz?v| xF}Nz?o s $|sY| z?xHztsv eK xF}Nzv$c>}NvHz?q?xYoMuNNv xF}$|x{w0uMru*g g{zq?uNvYo zts zt|-q?} u-wbxF}Nz?vHzorvHv$cNz?v@d

}Nz uvHxo $uNsxF|x4orvHv$cNz orv\g }Nz?x;}Nzts\g{zqt|#|$$su*hNo |-xHz $ ^ g{z?ricNvHo N1cNvHx4| v |MbNc }Bztsuw Nz?xg{us4f*KvHx;scNq?x$c$sz4} BuxF}Nz?vHz?vd }NorvCb cNz?vHxYoMuN'orv o q@cNrx4xHu |Nvg{ztso CxF}Nz us dJ~ uNz?xF}Nz?rz?vHv vHz ztsH| sz?vHzt|skqQ}Nztsvi}$| zvF}Nu*g z h Bztso ztxF|-rr<x;}$|-xz ztC|vHo Nrz HuNu C.,6`:*34- 64D <>,5*3T6`S38U5P6 ,64eL,WCP6`:*:$@N U5$7>38- 3" ! "$#&%$'( $)+* , + 7>1*+:*68=A:P5$+ 6O5 5$+,#34D :*,WC.B86O5$7>38-:#79- 6 S 6O5*64D 6O:*, 168--3`5 + ,W<9U05*3PSA7>:*1WC*7>Nd79- 6O5*,#5 Z3d,O! @7>B864<>,.- 5f- ,5 34C*ec:*5$C*@1Q5$@C.,:Y t

Nz?x+g{usf vHxFscNq?xc$szu-wcxHzt $sku o z?v | z hNq?z?rMztx|$$su*ho |xHoru {uuN$zts| ztsv$f-u oMxYv &> ~ Mo wcztsorv | {uNuBzts tM z?qrf-zts |pz?x |-xd Jt } d z o zt#|2z h | NMz o z?q?xHoru >d }Nz?vHzpsz?v$cNrxHv|szvHu z g }$|-xv$c$sH$skoMvYo N | |sz |sz?rSsz?v;$uNvHo9}NrzCw0uNsxF}Nz'Nszt|-x zt|-u-w sz?q?ztxo xYztsz?vHxo Crzt|sHNo N |&z?vHo |Nz?x+g{usfv@d & o zt xF}Norv uN}NvHzts |xHoru |Nux;}Nzts)o BusxF|xq?uNNvHo ztsH|-xHoru oMv}Nu*gxHu o ztxYo wc HuNu Nz?x+ g{usf2vHxFscNq?xc$sz?v@d }Nzp|$$su|qQ}#xF}$|x }$|-v}$z?zt| uNxHz } |Psz?vHzt|sq?}Nztsv orv xHu cNvHzp| p :$yzqst - Io@vxz=q : o gq?u }No $|xHoru gorxF}S|2vHzt|sq?}S|MusorxF} d }Nz'vHq?uNso N z?xFsorq'x;|f-z?v$sorus fNNuQg Mz z | |-xF|}$|vHz | |vHz?x u-w Nz?xg{us4fvHxFs4cNq?x$c$sz?v | q?u >cNxYz?v x;}NzuNu Nz?vHv u-wEx)u-w xF}NuvYzvHxFscNq?x$c$skz?v xHu xF}Nz4$sorusCfNu*grz z| ' |-x;|>d }Nz4vHzt|skqQ}|-ruNsorxF} o ztxHoz?v4Nz?x+g uNsf vHxFs4cNq?x$c$sz?v xHu }$z'vYq?usz deKPx;}NoMv vHz?q?xHoru g{z oMvYq@cNvHv vYq?uso N z?xFsorq?v@deK z?q?xYoMuN d g{z orvHq@cNvHvivHzt|sq?}|-ruskoMx;} v@d ~ u } oru cNv vHq?uso N z?x;sorqwcus{|vHo NrzNz?x+g{usfKvHxFscNq?xc$sz 0z b cNo |MztNq?z q? |vHv orvxF}Nz4skz? |Q xHo z{$uvHxYztsorus $sku }$|}NorroMx u-w x;}$|-xevHxFs4cNq?x$c$sz)o ztxF}Nz |-xF|}$|-vYzduNs]z h | Nrz g z qt|q?u >cNxHz _ uNsq?u >cNxHz|jln*o p / l :vxyz E g }Nztsz orv)vHu zsz;w0ztskztNq?zjNz?x+g{usfivHx;scNq?x$c$sz{v$cNq?} |-vbxF}Nz z NxNz?x+g{usfvYxFscNq?x$c$szd }NztIg{zcNvHz 2b>c$|-xHoru xYuq?u >cNxHzxF}Norv sz? |-xYo z$uvHxHztsorus$sku }$|}NorroMx xF}NzivHq?uso N z?x;sorq4orvvHu z?xHo z?v qt|-rrz xF}NzIjln*o p qFl t qFz9q : 2#o@vS z?xFsorqd ~ Nz?x+g uNsfvHxFs4cNq?x$c$szgorxF} xF}Nz4}Nor}Nz?vHx$uvHxYztsorus $su }$|}NoMrorx'orviu-w0xYzt qt|-rMz | Il *Xq A Tl y*p vxo@zqsyz$q2_n ~S vHx;scNq?x$c$szd u vHq?uNsz|vYz?xu-w oMv xHo Nq?x Nz?x+g{usf vHxFs4cNq?x$c$sz?v g{zqt|5cNvYz d2~ uxHzixF}$|-x$sH|-q?xYoMxYoMuNNztsvx Norqt|-rr q?u >cNxYzMu|sorxF} v u-w x;}Nz$su }$|}NoMrorxHorz?vxHu | uo Nc ztsorqt|-Lc$ zt.s !u*g\d n | or|P| y|9w0ztsx t v$cNz?vHx |S|-rxHztsY$|-xHo z'vYq?uso N z?xFskoMqpxF}$|x cNvYz?v sz? |-xYo z $uvHxHztsorus$su }$|}Norrorxo q?u c$Nq?xHorugorxF}}Nz@c$sorvHxHorq?vS}$|-vHz u xF}Nz $sko Nq?o Nrzu-w q?qt| vby|*?uNs d x;}NztsvHq?usko N z?x;sorq?v |$$su*ho |-xYz xF}Nz$uvHxYztsorus& $su }$|}NoMrorx z?xFsorqde z?q?xYoMuN $ g{z orvHq@cNvHv|-rusorxF} v xF}$|-xqt| |Cruqt| |*hNo c o xF}Nz$su }$|}Norrorx |-v | w(c$Nq?xHorupuw _xF}Nz $}NvHorqt|- $sku }$|}NorroMxYoMz?v |-vHvHuNq?o |-xHz gorxF}#Nz?x+g{usfvYxFscNq?x$c$sz d z qt|$NuxcNvHz v$cNqQ}p|ruNqt|- |*hNo c |-v| vHq?uNszwcus }$z?qt|cNvYzorxCgorr)|-#g|&Nv{wK| us{xF}Nz uvHx q?u Nrz h'Nz?x+g{usf vHxFscNq?xc$sz?v g }Norq?}pN |q?zNu q?uNvHxFsH|o xHvuN xF}Nz$|sY| z?xHzts v >dJ~uNz?x;}Nz rz?vHv g{z4qt|cNvHz | MuNqt|- |ho c uw |-v| vHq?usz wcus 'o wJg z|-rvHu'$zt$|Mo#?z vHxFs4cNq?x$c$sz?v}$|-vYz uxF}Nz?o s{q?u Nrz horxd ~ ft|o fz t v$cNz?vYxHv{xF}NzvHq?uso N z?xFsorq ru M Z o g }Nzts z orv| u z? ztNuxHz?v xF}Nz | cNz?v u-w 'xF}$|x |*hNo o?zx;}Nz $su }$|}Norrorx | o orvx;}Nz Nc }$zts u-wMuorqt|-rM2o ztBzt ztx $|sH| z?xYztsvo d }Norv4vHq?uNso N z?xFskoMq oMv vHu z?xHo z?v{qt|-rMz x;}Nz ~ o wcus |xHoru qtskoMxYztsoru ~ e dus)| |&z?vHo | Nz?x+g uNsf x;}NzjBzt$|-rx oMv o zt } o @

$

q?}g|s+ t v$cNz?vYxHv | vHo or |s vHq?uNso N z?x;sorq gorxF} | Bzt$|-rx xHzts o zt } BE o ruM ? gi}Nztsz orvxF}Nz Nc }$zts u-w4qt|-vYz?vo xF}Nz |-xF|}$|-vYzd }NoMv z?xFsorqpoMv vHu z?xHo z?vqt|-rrz xF}Nz |tz?vHo |o wcus |-xYoMuN qtsorxHztsoru e d ~ NuxF}Nzts z?xFsorqixF}$|-x)|$$skuQhNo |-xHz?v xF}Nz$uvHxYztsorus& $su }$|}NoMrorx z?xFskoMqiorv o No c z?vYqtso xHoru2rztNxF}_np\ cyoMvYvF|Nzt t d }Nz np\Suw |CNz?x+g uNsfvHx;scNq?x$c$sz orvx;}Nz v$c u-wxF}Nz Nc }Bztsuwi}NoMxYv4sz b cNo sz xHu ztNq?u zxF}Nz u z?mg }NorqQ} o Nqtskzt|-vHz?vgorxF}Co Nqtszt|-vHo N u z?q?u Nrz horx | xF}Nz c }$zts u-w}NorxHv sz b cNo sz xHuCztNq?u z xF}Nz |-x;|}$|-vHz o zt xF}Nz u z?sg }Norq?} z?qtszt|-vYz?v2gorxF}o Nqtszt|-vYo N u z?q?u NMz hNorx sz? |-xYo z)xHu| $|sxHorq@cN |sq?u o NvHq?}Nz zd z{NuxHz xF}$|-x o xF}Nz4ro orx |-vxF}Nz4Nc }$zts u-w qt|vHz?vo xF}Nz |-xF|}$|vHz4|$$su|qQ} o NoMx xF}Nz z?xFsorq gorxF} c$No wcus $skoMuNsv uNvHxFs4cNq?x$c$sz?v M e | np\ o z4xF}Nz vF| zsz? |-xHo z4vYq?usz?vu |-vHv| y|&wcztsx Et d2 wcusx$c$$|xHz?r o '$sH|-q?xYoMq?z xF}Norv |-vY NxYuxHorqz b cNo |-rztNq?z orvjsH|sz?r |-q?}Norz z d bo $|-rr g{z)qt|vYq?usz{vHxFscNq?xc$sz?v7}$|vHz u| z?q?orvHoru u z?NwcusxF}Nz u |-o Ed2eK v$cNqQ} qt|-vYz?v g{z)qt| vHq?uNsz| Nz?x+g{usfivHx;scNq?x$c$sz}z hxHzt o N xF}$|-xvHxFscNq?x$c$skz xYuj| o !AcNztNq?z o |-sY| g }Norq?} o Nq?9c z?v4| z?q?orvHoru u z? w0usxF}Nz u |-o Ed us z h | Nrz v$c$$$uvHzg{zgorvF} xYuq?u >cNxHz4| vHq?usziwcus xF}Nz |tz?vHo |Nz?x+g uNsf wcus z orqt|- o |-NuvYoMvv;}NuQgio boMNc$s z | o ztp| q?u Nrz?xHz |-xF|}$|-vHz4uw oMvYzt|-vHz | vH NxHu vd u u vHu g{z z hxHzt xF}Norv)Nz?x+g{usfixHu| o !AcNztNq?z o |-NsH| v$cNq?}|vbxF}Nz)uNz{vF}Nu*g o bor c$sz }Ed }Nz z?q?orvHoru u z?{szt$sz?vHztxHz }pxF}Norv4o !AcNztNq?z o |sH| o Nq?9c z?v | vYo NMz xFszt|x ztx z?q?orvHoru | xF}Nz |-vHvHztsxYoMuN xF}$|-xixF}Nz$|-xYoMztx vcNxHorrorx zt$zt v uNruCxF}Nz orvHzt|-vYz | xF}Nz xFszt|-x ztx z?q?orvHoruEd z{q?u >cNxHz |ivYq?usz{wcusxF}Nz |&z?vHo | Nz?x+g{usf} $suq?z?vYvHo N4xF}Nzqt|vHz?vbvHz b>cNztxHo |-rrd ~i| z?r wcuszt|-q?}2qt|-vHz o 2xF}Nz |xF|}$|-vHz g{z5cNvHz2b>c$|-xHoru t xHu<$sz orq?x x;}Nz $suN}$|}NorMorx orvHxFso9}>cNxHoru2u zts orvHzt|-vHz?v o pxF}$|-xqt|-vYz o ztpxF}NzvH NxHu vo @xF}$|-xqt|-vHz | xF}Nz $sz oru cNv qt|-vHz?v L 4

d }Nzt g{zcNvHz{xF}Nz{o !AcNztNq?z o |-sH| xYu z?xHzts o Nz xF}Nz{uNxYo |-$xFszt|-x ztxd ~ z hx wKsu x;}Nz5cNxHorroMxYoMz?vztNq?u z o px;}Nz o !AcNztNq?z o |-sY| g{z z?xHzts o Nz xF}NzucNxHorMorx u-w{xF}Nz u cNxHq?u zIg }NztszxF}Nz $|-xHorztxoMvo zt'x;}Nzq?}NuvHzt@xFszt|-x ztx }>cNx4}$|-vxF}Nz orvHzt|-vHz skz?q?us z o xF}Nz |-x;|}$|-vHz wcus qt|-vHz dP zq?u >cNxYzxF}NzvHq?usz wcusx;}Nz |&z?vYo |PNz?xg{us4fpvHxFscNq?xc$sz} v$c o N#xF}Nz?vHzcNxYoMrorxHorz?vu zts |-rqt|vHz?v@d }Norv z?xFsorq'qt|}Bz'ztNztsY|-ro?z xHupvHq?uNsz cNMxYo Nrz Nz?x+g{usf vHxFscNq?x$c$skz?v@d }Nz| $ |xF|z4u-w)x;}NoMv z?q?orvHoruKx;}Nz?usz?xHorq |$$sku|-q?}orvxF}$|-xorxuNxYo o?z?v g }$|-xg{z o z?z g|x4xHuCuNxHo o#?z z h$$z?q?xHz cNxYoMrorxd }Nz orvF| $ |x;|-z oMvxF}$|x4orx sz b cNo sz?v xF}$|-xJg{zq?uNvHx;scNq?x | o !AcNztNq?z o |-sY| _oxd zd N z?q?orvHoru u z? wcus{xF}Nz u |-o Ed %

#

}Nz$uvYxHztsorus& $suN}$|}NorMorx'| z?q?orvHoruKxF}Nz?usz?xYoMq z?x;sorq?vskz b cNo szxF}$|xSg{zj|vHvHor $sorusvxHu|-r $uvHvH9o }Nrz<Nz?+x g{us fCvHxFs cNq?x c$sz?@v d eK#xF}Norv vHz?q?xYoMuN g{z $sz?vYztx |2z q?orztx z?xF}Nu wcus uo NpvHu z?vHqts9o }Bz } z? q f-zts | z?x |-x d t } d }Nz |$$suN|-qQ}s z b>cNo sz?vbxF}$|-xxF}NJz cNvHztsq?uNvHxF4s cNq?xHv |]AzqFyz +tMo@vxw2yz{p vxz;A7:@v4ANz+owcusex;}Nz u |-o Ed !

>

Treatment

u Disease

Symptom 1

Disease

Symptom 1

...

...

Symptom n

Symptom 2

Symptom n

Symptom 2

(a)

(b)

bor c$sz6 c| ~ |&z?vHo |gNz?x+g uNsfCwcus z orqt|- o |-NNuvHorv@d x} ~ q?usHsz?vFBu o NWo !AcNztNq?z o |-sH| w0uNs z oMqt| xFskzt|-x ztx@d

}Nz z?xF}Nu |-vYv$c z?vxF}$|-xixF}Norv4vYxFscNq?x$c$szorv|cNvYzts v $}Bz?vHx cNz?vHvuw xF}Nz Nz?x+g{usf vHxFs4cNq?x$c$sz xF}$|-x{ztNq?u z?vxF}Nz4$}vHorqt|-$su }$|}NorrorxHorz?v@d & o zt'| $sorusNz?x+g{usf vHxFscNq?x$c$skz g z q?u >cNxHz xF}Nz $sorusi$su }$|}Norrorx pu-w <|vwcurruQg v@d uNsbz zts |so |}Nrz0 o 2 rz?x ztNuxHzixF}NzjNc }$zts{uw Nu z?vo xF}Nz vY z?xFsorq oeztsztNq?zu-w / | / SxF}$|-x{orv / / / / d }Nzt | x;}Nz4$sorus Nz?x+g{usf oezts}

|skq?v@d)2zq?u >cNxHz xF}Nz$sorus $su }$|}Norrorx }$zt$|Mo#?o $ } |q?uNvYxF|x)wK|-q?xHuNs w0uszt|-qQ} vcNqQ}C|sqd }$|-xorv g zvYz?x g }Nztsz orv| Nus |-rot|xHoruq?uNvYxF|x g }Norq?}g{zqt| orNuszdJ~ uxHzxF}$|-x{xF}Norv|$$su|qQ}|-vYvHorNv z b>c$|- $skoMuNsv xYu z b>cNo |-rztx Nz?x+g{usf vHxFscNq?x$c$skz?v uNrg }Nzt xF}Nz{$sorusbNz?x+g{usf vHxFscNq?x$c$skz)orv z Nx _vHz?z\ z?q f-zts | z?xi|-xd t }]w0us{| orvHq@cNvYvHoruCu-w x;}NoMv$uo x d }NoMviwcus cN | orvvHo Nrz |-v orx4sz b>cNo sz?v4uNNMpxF}Nz |-vYvHz?vHv ztxiu-w| $sorusNz?x+g{usf vHxFs4cNq?x$c$sz | | vHo Nrz q?uNNvHxF|x du~ uNz?xF}Nz?rz?vHv o wxF}Nz:cNvHztsorv\g oMrro N }Nz qt| $su o z usz z?xF|oMrz fNNuQg Mz z} |-vYvHz?vHvHo N oeztsztx $zt$|-rxHorz?v wcus oeztsztx Nu z?v | wcus oeztsztx $|sztx q?u c$sY|-xHoruNvu-w{zt|-qQ}pNu z c$xHo Nz Ot>@ d ~ NuxF}Nzts |so |x uw xF}Norv4|$$suN|-qQ}CorvxHu'|-rru*g xF}Nz5cNvYztsixHuqt|-xHz?uNsorqt|-rM#|-vHvHztsxx;}$|-xvHu z |skq?vo @xF}Nz $sorus Nz?xg{us4f cNvYx\}$z$sz?vHztx@d z qt||-N|-o 5cNvHz\Kb c$|xHoru $ z hq?ztNxx;}$|-xJg zivHz?x{xHuI?ztsuxF}Nz4$soruskv uw Nz?x+g uNsfvHxFs4cNq?x$c$sz?v{xF}$|-x u Nux q?uw0uNs xHuxF}Nz?vHz q?uNvHxFsY|-o xHvd

}Nz $uvHxHztsorus& $sku }$|}NorroMx | p z?q?orvHoruKxF}Nz?uskz?xHorq z?x;sorq?v4|-rvHu'sz b>cNo skzx;}$|-xg{z |-vHvYoMN<$skoMuNsv xHuNz?xg{us4f4$|sH| z?xHztsv w0usb|MeBuvHvHo9}Nrz4Nz?x+g uNsfvHx;scNq?x$c$sz?v@d z qt| |MvYuGcNvHzixF}Norv{o wcus |-xHoru

xHuCq?u >cNxHz xF}Nz ~ e | e z?xFsorq?v usz z q?orztxHr _vYz?z z?q?xHoru d d z ztsH||cNxF}Nusv }$| z orvHq@cNvHvYz vHo or |s$sY|-q?xHorqt|-|$$suN|-qQ}Nz?v w0uNs)|-vHvYoMNNo NxF}Nz?vYz $sorusvOg }Nzt | vHxFscNq?xc$sz?v |sz$uvYvHo9}NMzcuuBzts | ztsv$f-u oMxYv tt>> c$xHo Nz 2t Norz?z? }$|-rxHztsz?x|-xd &> z?qrf-zts | z?x |-xd t } d/eK xF}Norv vYz?q?xHoru g{z z?vHqtso9}$zxF}Nz4|$$su|-q?} u-wSz?q f-zts | z?x |-xd }Nz?o s |$$su|-q?}#orv5}$|-vHz uP|psz?v$cNrx w su & z?orzts | z?q f-zts | & d ~ | z?r o w |-r |Mru*g{z | cNz?vu-w{xF}Nz $}vYoMqt| $su }$|}NoMrorxHorz?v |skz BuvHvHo9}Nrz xF}Nzt2$|sH| z?xYztsio ztBzt ztNq?z | } BuxF}Nz?vHorv'z b>cNo |-rztNq?z o NrxF}$|-xxF}Nz $}vYoMqt|4$su }$|}NorrorxHorz?vpw0uNs q?u NMz?xYzWNz?x+g uNsf vHxFs4cNq?x$c$sz?v cNvHx }$| zio sorqQ}Nrz?x oMvYxFso9}>cNxHoruNv |-v{vFBz?q?oz o 2b>c$|-xHoru gorxF} xF}Nz q?uNNvHxFsH|-o x

* & / * g }Nztsz orvxF}NzcNvHzts v z b cNo |-rztx v;| NrzvHo#?z wcus xF}Nz u |o orvxF}Nz}$$uxF}Nz?vHorvq?us& sz?vFBu o NpxHu'|'q?u Nrz?xHzNz?x+g{usf vHxFs4cNq?x$c$sz | * / oMv xF}Nz5cNvHzts v $su }$|}NoMrorxxF}$|-cx & | / o CxF}NzC svHxqt|vHzxHuu}$z vHz?zto x;}Nz |-xF|}$|-vYzd i zts xF}Nz?vHzq?u orxHoruNv xF}Nz'$sorusvu#$|sH| z?xHztsv w0us |-r{q?u Nrz?xHz'Nz?x+g{usfCvHxFscNq?xc$sz?v |&}$z z?xHzts o Nz } @ q?uNvHx;scNq?xHo N'| $skoMuNs Nz?x+g{usf wcus{xF}Nz svYx qt|-vYz4xHu}$zvHz?zt wKsu g }Norq?}xF}Nz$su }$|}NorrorxHorz?vo Kb c$|-xYoMuN * |&}$z4q?u >cNxHz M | |-vHvYz?vHvHo N x;}Nzz b cNo |Mztx vF| NMzvHo#?z0od zd q?uN ztNq?z o CxF}$|-x$sorusNz?x+g uNsfMde z?q?xHoru g{z4o z |Cz h$| Nrzu-w | $sorusNz?x+g{usfWd u z?xHzts o Nz $sorusvw0us $|sH| z?xYztsv{u-w o Nq?u NMz?xYzNz?x+g{usf vHxFscNq?x$c$skz?v z?q f-zts | z?x |-xd t } cNvHz xF}Nz|-vHv$c NxYoMuN u-Pw >lz+\l Io@vxo@ z Iy , A72#lzqFvxn|g }Norq?} vF|&Nv4xF}$|x4o zt#x+g{u'Nz?x+g uNsf vHxFs4cNq?x$c$sz?v | \ o w }$|vxF}NzvF| z4$|sztxHvo | \ xF}Nzt _ \

wcus 8 d }Nz?pqt|-r)xF}Norv $suBztsx<$|sH| z?xHzts u cN |sorx }$z?qt|cNvYz orx4v;|tNv4x;}$|-xxF}Nz orvHxFso9}>cNxHoruNv w0uNs $|sY| z?xHztsv ztBzt uNr'uNxF}Nz vHxFscNq?x$c$skz4u-w)xF}NzNz?x+g uNsf x;}$|-x orvruNqt|- xHu |so |}Nrz $| z?r uNr zt$zt vu | orxHv $|sztxHv@d usz h$| Nrz q?uNvYo zts xF}NzNz?x+g uNsfCvHxFscNq?x$c$skz | xF}Nzz Nx pvHx;scNq?x$c$sz w0uNs4uNc$s4x+g{u* |so |}Nrz u |-o gorxF} q?usHskz?vF$u o N }$$uxF}Nz?vYz?v | dSeK:}$uxF} vYxFscNq?x$c$sz?v }$|-v{xF}NzivF| z vHz?x{u-w $|sztxHv _xF}Nzz Nx vHz?x d uNvHz b>cNztxHr }$|sH| z?xHzts u cN |sorx _ d & o ztxF}Nz |vHv$c NxHoruNvbuw $|sH| z?xHzts u cN |sorx | o zt$zt ztNq?z orx)orv | vHo Nrz |-xHxHzts xHu q?uNvHxFscNq?x$soruskv)wcus xF}Nzj$|sH| z?xHztskv)u-w | |s}NorxFsH|s Nz?xg{us4f4vYxFscNq?x$c$szio zt xF}Nz$sorusv{u q?u Nrz?xHz'Nz?x+g{usfCvHx;scNq?x$c$sz?v@d eKP$|sxYoMq@cN |s o ztP$|sH| z?xHztso ztBzt ztNq?z g{z q?uNvHx;scNq?x xF}Nz$sorusv{wcus{xF}Nz$|sH| z?xHztsv{u-w)zt|-q?}Nu z vHzt$|sH|xHz?rdJAc$sxF}Nzts usz o w Nu z }$|-vi$|sztxHv / o pxF}Nzo ztpNz?x+g{usf vHxFs4cNq?x$c$sz g zo ztxHo w0 | q?u Nrz?xHz Nz?x+g{usf vHx;scNq?x$c$szg }Nzts! z }$|-v xF}Nz?vHz$|sztxHv | cNvHz $|sH| z?xHzts u cN |sorx 2xHu z?xHzts o NzxF}Nz $skoMuNsv w0us xF}Norv Nu zd }Nz ;15$@ 64<9<>=OE_,W7>a`,WC68-S ; ,1*eA,WC.NP68- G `K U C.38BO,S5$+ 7>: C.,:$@ <>5 @ :$79- a38-<>=#<979eA,W<979+3A3AS ,"O! @ 7>B468<>,W- 1,OY

s z?v$cNrxorv| vFBz?q?o |)qt|-vHzu-w)x;}Nz ?z xFskoMq qt|-rrz xF}Nz z z?xFsorq xF}$|-x4|-vYvHorNvz b c$| vHq?uNsz?v xHu z b>cNo |-rztxjNz?x+g{usf vHxFs4cNq?x$c$sz?v@d2eK ?z q?xHoru6 g{z orr9cNvHxFsH|-xYzx;}Nz\cNvHz4u-wxF}Norv z?x;sorqd

eK#x;}NoMv vHz?q?xHoru g z z h$| o NzvHzt|sq?} z?xF}Nu v w0uNs4o ztxHo w0No NSNz?x+g uNsfCvHxFscNq?x$c$skz?vGg oMx;}P}NoMN} vHq?uskz?@v d/ vHvHztxHo |-rM|-rvcNqQ} vHzt|sq?} z?xF}Nu v |f-zScNvHz u-wB|i$suBztsx uw xF}Nz vHq?uso N z?xFsorq?vxF}$|-x g{z{qt|-r z?q?u BuvF| }Norrorx d & o zt |Nz?x+g uNsfivHxFscNq?xc$sz w0us u |-o 1 g{z v;|t xF}$|-xb| zt|v$c$sz{u xF}$|-x vHxFs cNq?$x c$skzoMv , o;:y\ yprl 1 2#oo w)orxqt|}Bzg sorxHxHztC|-v | $sku cNq?xuw zt|v$c$sz?v zt|qQ} u-w2g }Norq?} orv | <w c$Nq?xYoMuNuNr u-w uNz4Nu z4| orxHv $|skztxHv d/us z h | Nrz w sku 2b>c$|-xHoru > g{zvHz?zxF}$|-x xF}Nz $s u }$| }NoMrorx o ztP }'xF}Nz z?xFskoMqorv z?q?u $uv;| }Nrz d {uNvY z b cNztxHr o wxF}Nz $sorus$s u }$| }NoMrorxHorz?vu-wjNz?+x g{us fCvHx;s cNq?$x c$sz?v |sz z?q?u BuvF| }Nrz c|vx;}Nz?W|sz o 2b>c$|-xHoru ? xF}Nzt vHuoMvixF}Nz z?xFskoMq d N} cNv g{zqt| g skoMxYz

* %

/

g N} ztsz1% * 3/ oMv uNrW| w(c$Nq?xHorupu-wc | orxHv$|sztxHv@dnpuvHx |&z?vHo | | NuN |&z?vYo | z?xFskoMq?v |sz z?q?u BuvF|}Nrzd & o ztg| z?q?u $uvF|}Nrz z?x;sorq g{zqt|#q?u $|sz xF}NzvHq?usz wcus x+g{u<Nz?x+g{usfpvHx;scNq?x$c$sz?vxF}$|-x oeztsu}WxF}Nz| $ orxHoru us z?Mz?xYoMuNPu-w4|sq?v $uo xHo N#xHu } q?u >cNxYo N uNr xF}Nz4xHzts %N* / w0usB}$uxF} vYxFscNq?x$c$sz?vd bo svYx rz?xkcNviq?uNvHo ztsixF}Nz vF$z?q?o |-bqt|vHzu-w2 o NxF}NzNz?x+g{usf vHxFs4cNq?x$c$szgorxF} xF}Nz}Nor}Nz?vHx vHq?uskz | uNNj|-r$vHx;scNq?x$c$sz?vo \gi}NoMq?}z ztsk4Nu z}$|-v)|-x uvYxeuNz$|sztx@dus zt|-qQ}|skq _o Nq?9c o Nqt|vHz?v2g }Nzts#z orv{ cNr ? g{z|-vHvYuq?o |-xHz{|Cg{z?oMN}x I* ` ru %N* 9 ru % d sku 2b>c$|-xHoru $ g z4}$| z

ru

Mu%N*

G*

\

ru N% *

g N} ztsz orv{xF}Nzuc$uvYvHo9}NM cNre$|sztx)uw d }Nzi |-vHx{xHzts o 5Kb c$|-xYoMuN \ orv{xF}NzivF| zw0us |-r Nz?x+g{usf vHxFs4cNq?x$c$sz?v@d } cNv | uN xF}Nz Nz?x+g{usf vHxFs4cNq?x$c$sz?vo g }Norq?}pzt|-q?}<Nu z }$|-v4|x uvHx uNz$|sztx sY|>fo N Nz?x+g{usfvYxFscNq?x$c$sz?vI}2v$c u-wg{z?or}xHv G* us} vHq?usz }$|-v xF}NzvF| z4sz?v$cNrx@d bo o N xF}NzjNz?x+g{usf vHxFscNq?x$c$skzgorxF} xF}Nz4}Nor}Nz?vHxg{z?or}x{oMv| vF$z?q?o |-qt|-vHziu-w)|g z?rfNNuQgi $su }Nrz u-w o N& I$l Q$q A 1 z+lt : qst -p z?vHqtso9}Bz Pw0us z h$| NrzOSo |Nv | npo Norz@ft| t>@ d }Nz<$sku }Nrz oMv z Nz |-v wcurMu*gvd ~ vxzoo !02#q9{*otWo@vxw2yz4{orv'| q?u$Nz?q?xYz o sz?q?xYz |-q?Nq?roMqNsH|$}o ^g }NorqQ} Nu4x+g{uz z?v |sz o sz?q?xHz o xHu4xF}Nz vF| z Nu zd }NzsuNuxbu-w |x;sz?zKro fz Nz?x+g{usforv|\c$No#b>cNz4Nu zixF}$|-x)}$|v Nu4z z?v o sz?q?xYz o xHuoMxd ~ 1 zlt :NqFt - orv | o sz?q?xHz wcusz?vHx

*

xF}$|-xq?uNvYoMvYxHv u-w orv uo x xFskz?zKMo9f-zpNz?x+g uNsfvd ~ p.>ltMtWqFt -1 z+lt : qst-orv | }$sY|NqQ}No N#xF}$|-x o Nq?9c z?v |-r Nu z?vo @xF}Nz NsH|$}Ed ~ Il Qq$ A 1 z+lt : qst- oMv |'v;$|$No N}$sY|NqQ}No N g }Norq?} |*hNo o#?z?v x;}Nz v$c u-wj|sq:g{z?or}xYv 0o #uNc$sqt|-vHz

I* d ~ #z q?orztx $uM$Nu o |- |-ruskoMx;} w0usm o N<| |ho c }$sY|NqQ}No N g|v svYx z?vHqtsko }Bz } u v5 &\ ? |xHzts z h$NMuNsz } |sYu t ? | | z uszbz q?orztxS} |s"H|u t | 5& |}$u*g z?x|-xdm t* d }Nz?vHz |-ruskoMx;} v4qt| }$zcNvHz xHu: xF}Nz }$sY|NqQ}No N gorxF}px;}Nz }Nor}Nz?vHxvHq?uNsz sz?|s rz?vHv u-w x;}Nz z?x;sorq5g{zcNvHz |-vruNW|-v uNzqt|#|-vHvHuNq?o |-xHz| g z?or}xIgorxF}2z zts z zd }Nztsz;w0uNsz xF}Norv|-rusorxF} orv|$$su$so |-xHz wcus)| z?q?u BuvF|}Nrz z?xFskoMqd }Nzt:cNvHo N z?xFsorq?v{xF}$|-x |vHvHor z b>c$|-evHq?uskz?vxHuz b cNo |-rztx4Nz?x+g{usfvYxFscNq?x$c$sz?v }Nu*g z zts g z4}$| z

$

%

* %

%N*

_

*

%

%N*

N} cNv wcusb|x+g uiz z?vP | xF}Nzg{z?or}xYv I* O | I* O |szz b>c$|-xd {uNvYz b cNztxHr xF}Nz o sz?q?xHoru$|-rorx'u-wexF}Nz4|skq?vN |&NvNu surzwcus v$cNq?} z?xFsorq?v | x;}Nzj$suN}NMz sz cNq?z?v xHuu o NCxF}NzGc$ o sz?q?xHz wcusz?vHx w0uNsg }Norq?} I* ` orv4| |ho c d }NorvvHzt|sq?} qt|}Bz uNzIcNvHo N | |*ho c vF$|$No N xFsz?z4|MusorxF} d ~ u*g Mz?xJcNv)q?uNvYo zts xF}Nz{qt|-vHzgi}NztszJg zO xF}Nz}$z?vHx{Nz?x+g uNsf w sku x;}NzvHz?xbu-we|-rNz?xg{us4fv o g }Norq?}pzt|-q?}<Nu z }$|-v4Nu uszxF}$| $|sztxHv@d\iwcusx$c$$|-xYz?M xF}Nz $su }Nrz wcus oMv ~ }$|s c }NoMq f-ztso Ngz?x'|-xd t d }Nztsz;wcusz orxorv<|$$su$so |-xHzpxHucNvHzW}Nz@c$skoMvYxHorq vHzt|sq?} |-ruskoMx;} v@d npuvYxu-w x;}Nzq?u uNr orvHq@cNvYvHz vHzt|skqQ} z?xF}Nu viwcusrzt|sYNo N |tz?vHo |pNz?xg{us4fv |f-z v$cNq?q?z?vHvYo z |skq} z?q?x xHuCxF}Nzq?uNvHxFsY|-o xxF}$|-xxF}Nzsz?v$cNrxHo NPNz?x+g uNsf q?uxF|-o Nv Nu o sz?q?xYz q?Nq?Mz?vdW2zcNvHz xHu ztNuxHzxF}NzvHz?xu-wz?roro9}NMzpq?}$|Nz?v xYu@|@sH|$} 4 ' xHu ztNuxHz xF}Nz4q?}$|Nz o 'ru vHq?usz u-w x;}NzNz?x+g{usf sz?v$cNrxHo N w sku xF}Nz u oqt|-xYoMuN | ' d & o zt| z?q?u BuvF|}Nrz z?xFsorq o wb| |sq xYu oMvi| $ z uNs z?rz?xHz e uNr %N* 3/ Nz?z }$zz |-9c$|-xHz xHu z?xHzts o Nz ' d2e_wb| |sq}$z?x+g{z?zt | orv sz ztsvHz e xF}Nzt uNr % * 3/ | %N* 3/ Nz?z }$z z |-9c$|-xYz d Nz vHo Nrz<}Nz@c$skoMvYxHorq'vHzt|skqQ} |MusorxF} or6 v 2#By :l 22p o$lz : _zd Md $u}$NvHuN t dbo svHx g{z q?}NuuvYz | sH|$}Ed }Nzt g{zz | c$|xHz 4 ' wcus|-r ' | # |f-zxF}Nz q?}$|N% z 'wcusCg }Norq?} 4 ' oMvi| |*ho c $su o z orxorv BuvHorxHo zd zixHzts o $|-xHzvYzt|sq?}ug }Nzt x;}NztszorvN%u 'CgorxF}| $uvHorxHo z | cNz w0us 4 ' d vHo N z?q?u BuvF|}Nrz z?xFsorq?v g{zqt|'| uo sz?q?u >cNxHo N'|-rbxHzts v 4 ' |&wcxHzts z ztsqQ}$|Nzd2eK$|sxYoMq@cN |s o w Nz?orxF}NztPs Nus xF}Nz?o s{$|sztxHv |szq?}$|Nz e xF}Nzt 4 ' sz |-o Nvuc$NqQ}$|Nz wcus4|M qQ}$|Nz?*v ' o u o N xF}Nz?vHz'Nu z?v |-vruN |-vxF}Nz'sz?vcNMxYo N

N z?x+g{usfCorv |-q?Nq?MorqdS | o |-xHz?vwcusx;}Nzo NorxHo |-isH|$} o Nq?9c zpxF}Nz z Nx 2sH|$} |psH| u sH|$} |NsH|$} z?xHzts o Nz }uNzu-w]xF}NzjBur Nu o |- |-ruNsorxF} v z?vYqtso9}$z $sz oru cNvHr o xF}Norv vHz?q?xHoru | xF}Nz4$skoMuNsNz?x+g uNsfMd ~ BuxHztxHo |-e$su }Nrz gorxF} |ruNqt|-KvHzt|sq?} z?xF}Nu oMv z?xHxHo N4vYx$cNqrf |-x | MuNqt|- |*hNo c d npz?xF}Nu v{w0uNs)z?vYqt|No N ruNqt|- |*hNo |o Nq?9c zoMxYztsH|-xHz }NorrKq?Mo }No Np| vHo cN |xHz |$Nzt|Mo NMd eK qsvxo@z+lvxo , N=q 292 :B2#$q 1 qst - g{z |$NM MuNqt|-vHzt|sq?}uc$xHorAg{z }Norx{|ruqt| |*hNo c d }Nzt g zisH| u r$ztsxc$s}xF}Nzq@c$sYsztxiNz?xg{us4fvHxFscNq?xc$sz | sztBzt|-xxF}Nz4$skuq?z?vHvw0usvHu z |$|-zt|}Nrz Nc }Bztsuw orxHztsH|-xHoruNvd e uNz |sko |x u-w/p Xq A72#lvxo , ltWtMol 2#qFt - z?vHqtso9}Bz }npz?xFsuBurorv)z?x |dC t ? g{zo NorxHo |-ro#?z xF}Nz vHvYxHz |-xvYu zxHz BztsH|-x$c$skz d }Nzt g{zNoMq f vHu zz?Moro9}Nrz qQ}$|Nz '|x sH| u | xF}Nzt:g{z |f-zixF}NzqQ}$|N z | c$|xHzxF}Nzz h$$sz?vHvHoru z h L 4 ' E d2e0w z ' uxF}Nzts gorvHz g{z |f-z xF}Nzq?}$|Nz\g oMx;}'$su }$|}NoMrorx d zszt$zt|-xixF}NorvivHz?rz?q?xHorup| z |-9c$|-xHorup$suNq?z?vHv xHo z?v usc$xYoMOg{z |f-zPq?}$|Nz?v@d:e_wg{z |f-z Nu'q?}$|Nz?vo szt$z?xHorxHoruNv x;}Nzt g{zvYxHu vHzt|skqQ}No NMd xF}Nzts gorvHz g{z ru*g{zts xF}Nz xYz $ztsH|x$c$sz} cNrxHo Nro N#xF}Nz q@c$sHsztxxYz $ztsH|x$c$sz }W| z?qt|&pwK|-q?xHus | q?uNxHo NcNzxF}Nz vHzt|sq?}P$suNq?z?vHv@dp zvHxYu vYzt|sq?}No Npo w g{z4}$| zruQg{ztsz x;}Nz4xHz BztsH|-x$c$skz uszxF}$| 4xYo z?v@d } cNv xF}Norvj|-ruNsorxF} orv q?uNxFskurMz } z4$|sY| z?xHztsv d | Nd uo NorxHo |-ro#?z xF}Norv |-ruskoMx;} g ziqt| vHx;|sxSg oMx;} xF}Nz z Nx sH|$} | |fz |sz{ztNu cN}vYuxF}$|-x)|- uvYxbz zts4z?roro9}NrzqQ}$|Nz{oMv | z xF} cNvbqtskzt|-xHo N |sH| u sH|$}Ed ~ MxYztsH$|-xHo z?r g z |& vHx;|sxJgorxF}| ruQg{zts{xYz $ztsH|x$c$sz | cNvHzuNzuw xF}Nz o NorxHo |-rot|xHoru z?xF}Nu v z?vHqtsko }Bz wcus MuNqt|-vHzt|sq?}Ed x;}Nzts z?x;}Nu v w0uNsz?vHqt|No NPruqt| |ho |2o Nq? c z }$z?vHx+x skvHx vYzt|sq?} us w Ct | & o9}>}Nv vF| NMo NP_vHz?z z?q?xHoru d d

!

%

ZBY [

bor c$sz orr9cNvHxFsH|-xYz?v | |$Nrorqt|-xHoru uw x;}Nz?vHz xYz?qQ}$No#b>cNz?vxHu4x;}Nzjszt| (g{usk u |o u-w/eKB zt xHor |-xHus |$|-z ztx xF|f-zt wKsu z?q f-zts | z?x |-xd & } d bor c$sz | orv |4}$| Kq?uNvHxFscNq?xYz |&z?vHo |PNz?x+g{usf w0uNs4x;}NoMv u |-o qt|-rrz x;}Nz ~ |s Nz?xg{us4f z?o NrorqQ}gz?x |-xd & _xF}Nz $su }$|}NoMrorxHorz?v|szNuxivF}Nu*g dObor c$sz q oMv| |-xF|}$|-vYzu-w t$ qt|-vHz?vixF}$|-xorvvF| NMz wKsu xF}Nz ~ |s Nz?xg{us4fMdObor c$sz } oMv| }$$ux;}Nz?xHorqt|- $sorusiNz?x+g uNsfwcus{x;}Nz u |o EdJ z?qrf-zts | z?x)|-xd & } q?uNvHxFs4cNq?xHz xF}Norv Nz?x+g{usf} | $ o N z?rz?xHo N | sz ztsvHo N|skq?vbo xF}Nz ~ |s Nz?x+g{usf | }'| $ o NNuorvHz4xHuxF}Nz4$sku }$|}NorroMxYoMz?v u-wbxF}Nz ~ |s Nz?x+g uNsfMd bor c$skz - vF}Nu*gv)xF}Nz uvYx)ro9f-z?r Nz?x+g{usf vHxFs4cNq?x$c$sz{wcu c$ }ruNqt|-]vHzt|sq?} o NorxHo |-ro#?z gorxF} xF}Nz$sorus Nz?x+g{usf vHxFs4cNq?x$c$sz\cNvHo NxF}Nz z z?xFsorq |z b>cNo |-rztxvF| NrzvHo#?z * | B E @ d{{u $|so N $sorusviuNz?x+g{usf vHxFscNq?xc$sz?v z?xYzts o Nz }2b>c$|-xHoru gorxF} xF}Nz xF}$sz?z)Nz?x+g{usf{vHx;scNq?x$c$sz?v g{zbvHz?z)x;}$|-xexF}Nzbrzt|sHNz Nz?x+g{usf{vYxFscNq?x$c$szborv cNqQ} q?MuvHztsexYuxF}$|-x

\

22 10

6

5

17 25

18

26

1

2

3

21

13 15

19

20

31

4

27

11

28

29

7

34

32

36

35

12

37

24 33

9

8

16

23

14

(a)

30

case # x1

22

A

19

R 6

5

10

21

20

31

4

27

15

A

R 32

11

34

16

23 35

36

37

A D

17

A 25

18

D 26 R

1

2

3

28

29

7

8

12

24

R 33

9

D

x2

x3

L

x37

13

D

3

3

2

2

2

2

2

3

1

3

3

3

4

3

2

3

1

10,000

2

2

2

M

14

30

4

1

(b)

L

3

O 3

(c) 22

6 17 25

18

1

2

26

R

5

10

21

19

20

31

4

27

28

29

7

8

D

11

13

D 15 32

34

35

12

9

3 30

16

23 36

37

24 33

14

(d)

bor c$sz c| i }Nz ~ |s Nz?x+g{usf vHxFscNq?xc$szdGx} ~ $sorusNz?x+g{usf ztNq?u o Np|5cNvHzts vk}Bz?roMz;wcv |}Bu cNxxF}Nz ~ |s u |-o Ed5_q ~ t$ Kqt|-vYz |-xF|}$|-vYz4ztNztsH|xHz w su xF}Nz ~ |s Nz?xg{us4fMd M }NzjNz?x+g{usf rzt|sHNz w su xF}Nz$sorus)Nz?x+g{usf| | t$ qt|-vHz |-xF|}$|-vYzztNztsH|-xYz wKsu xF}Nz ~ |s Nz?x+g{usfWd ~ sq?vixF}$|-x |skz| $ z e z?rz?xHz e usisz ztsvHz gorxF}'skz?vF$z?q?xixHu xF}NuvHz4o CxF}Nz ~ |s Nz?x+g{usfC|sz o orqt|-xHz gorxF} ~ | y sz?vF$z?q?xYo z?Md |f-zt w su z?q f-zts |pz?x |-xd & }Ed

u-w{xF}Nz ~ |s Nz?x+g{usf xF}$|CxF}$|x u-w{xF}Nz $sorusNz?x+g{usfWdEc$sxF}Nzts usz xF}Nz uo x orvHxFso9}>cNxHoru ztNq?u z }x;}Nz4rzt|sHNz Nz?x+g{usf orv cNqQ} q?MuvHztsixHu xF}$|-xu-w)x;}Nz ~ |s Nz?x+g uNsf xF}$| xF}$|-xu-w xF}Nz4$sorus Nz?xg{us4fMd2eK$|sxHorq@cN |s g }Nztskzt|-vxF}NzqtsuvHvztxFsu u-w x;}Nz. uo x orvHxFso9}>cNxHoruNviu-wbxF}Nz $sorusNz?x+g{usfg oMx;}Wsz?v;$z?q?x xHuCxF}$|-x u-wxF}Nz ~ |s Nz?x+g{usforv d B x;}Nz qtsuvHvztxFsupu-wxF}Nz uo x oMvYxFso9}>cNxHoru u-w]xF}Nzrzt|sHNz Nz?x+g{usfagorxF} sz?vFBz?q?x{xHuxF}$|-xbu-wexF}Nz ~ |s Nz?x+g uNsforv d d }Nzrzt|sHNo N'|-ruskoMx;} }$|-vizez?q?xHo z?rPcNvHz xF}Nz |-x;|}$|-vHz xHu Hq?usYsz?q?x xF}Nz$sorusCfNNuQg Mz z u-wbxF}Nz\cNvHzts d

` E `V J X

eKpszt| |-xF|}$|vHz?v u }NvHzts |-xHoruNviu-w)uNzus uNsz |so |}Nrz?v4o CuNz4uNs uNszqt|-vHz?v4|skz4x Norqt|-rr orvHvHo NMd2e 4x;}NoMvbvYz?q?xHoru g{z)q?uNvHo zts z hxHztNvYoMuNNvbxHu $sz oru cNv z?xF}Nu vbxF}$|-xeqt|4}$| rz orvHvYo N |-xF|d 2zqt|cNxHoruCxF}Nz szt| ztsixF}$|-xixF}Nz z?xF}Nu vg{z oMvYq@cNvHv4|-vHv$c zx;}$|-xgi}Nz?xF}NztsiusNux| u }NvHzts |-xHoru2orv orvHvHo N orv o ztBzt ztx u-w xF}Nz|-q?x$c$|)vHxF|xHz?v4u-wixF}Nz |so |}Nrz?v@dRus z h | NMz xF}Nz?vHz z?xF}Nu vi|szNux |$$suN$so |-xHziwcus{| z oMqt| |-x;|}$|-vHzCg }Nztsz |-x;||}$u cNx s4cN skz?vF$uNvYz orv oMvYvHo N o x;}NuvHz4$|-xHorztxHvg }Nu:}$z?qt| z xHuNuvYoMq f xHuxF|fzxF}Nz scNMdbnpz?xF}Nu v{wcus{| $ sz?vHvYo N zt$zt ztNq?orz?vo pu orvHvYoMuNNv4}$| zG}$z?ztCz h$Nrusz }_zd Md yc>}No t ? y{uN}No Nv5 t\ 7 | zt|sS & d

bo svHx rz?x\cNvq?uNvYo zts xF}NzvHo Nrz vHorx$c$|-xYoMuN g }NztszIg{zu }NvHzts z| vHo Nrz o Nq?u Nrz?xHz qt|-vHz o u |o $ Id]z?x ztNuxHz4x;}Nz |so |}Nrz?vNuxuN}NvHzts z o CxF}Nz4qt|-vYzd ztsixF}Nz|-vHv$c NxHoruu-w $|sH| z?xHzts o zt$zt ztNqtz g{zqt| q?u >cNxHzx;}Nz4$uvHxYztsorus orvHx;so9}>cNxHoruCu-w |v{w0uMru*gv

*

/

G

/

!

P

/ *

P

/

)|qQ}CxHzts o Cq@c$srP}$sH|-q f-z?xHvo PKb c$|-xYoMuN orv| o sorq?}Nrz?x orvHxFso9}>cNxHoruEd } cNv c$Nrz?vHvG}BuxF} xF}Nz $uvHxHztsorus orvHxFso9}>cNxHoruCu-w gorM | |-rxF}Nz |so |}Nrz?vo / |sz u }NvHzts z o Cqt|-vHz = 64=#3 13ONdU 64C*7>:*38-E\5$+ ,1WC.3`:*: ,.- 5$C.34U =?3 64-g,NdU 5$=P-,Q5 Z38C*eZ+ 3O:*,UC.38D68D79<97>5$7V,: 64C.,S ,5*,WC.Nd79- ,S C.3`N 5$+ ,NP64C.a879-68<>:3" 5$+ , <>64C.N - ,5 Z 38C*e 7>5$+cC.,:$U\,1Q5_5*3P5$+ 6O5R3" 5$+ , <>68C.N -,Q5 Z38C*e?7>: Y Y

}$z| ro Nzt|siq?u }No $|-xHoru u-wbo skoMq?}Nrz?x orvHxFsko }>cNxYoMuNNv@d cNq?} orvHxFsko }>cNxYoMuNNv4|sz4vYu z?xHo z?vqt|Mrz qFzq=: 2#o@vIq Qv4ANzo p | xF}Nz$su }$|}NoMrorxHorz?vG / | * & / 4 |skzqt|-rMz Iq Qqst-:$yo :qFotMvsp d e0w/g{zu }NvHzts z x+g{uqt|-vHz?v xF}Nzt xF}NzvYoMxc$|-xHoru}$z?q?u z?v uskz q?u NMz h }Bz?qt|cNvHz4x;}Nzq?u >c xF|-xYoMuN4uwxF}Nz o#ho N4q?uNz q?orztxHv)o u z?vL o N4xF}Nz zt|Nvbu-w o sorq?}NMz?x o#hxc$sz?v@d2eKztNztsH|- |-vbvF}Nu*g :_zd Md o {uNu$ztsb| ztsv$fu orxHv t? x;}Nz q?u >cNxF|-xHoru$|$q?u Nrz horx4uw xF}Nz{z h$|-q?x q?u >cNx;|-xHoru u-w qt|}Bz4z h$$uNztxHo |-o xF}NzNc }$zts{uw orvHvYo N |so |}Nrz4ztxFsorz?vio xF}Nz |-x;|}$|-vHzd } cNv o p$sH|-q?xHorq?z g{zsz b>cNo sz |p|$$su*hNo |-xHoruEd Nz |$$sku|-q?}orvxHu|$$su*ho |xHz4zt|-q?} q?usHskz?q?x4$uvHxYztsorus orvHxFso9}>cNxHoru gorxF} | vHo Nrz o sorq?}NMz?x orvHxFso9}>cNxHoru | q?uxHo cNz xHucNvHz 2b>c$|-xHoru |-ruN5g oMx;}'x;}Nzwcus cN |wcus xF}Nz zt|'uw | o sorqQ}Nrz?x orvHx;so9}>cNxHoruEd z ztsH| v$cNq?} |$$su*hNo |-xHoruNv }$| z}$z?zt z?vHqtso9}$z o Px;}NzMorxHztsY|-x$c$szdus z h | Nrz orxHxHztso NxHuN t z?vHqtso9}Bz?v | z?xF}Nu qt|-rrz / z+l :@vxqsytMl 2 A^ , lvxqFt - gi}Nztsz?o 2w0us zt|-q?} g{z'$sz?xHzt x;}$|-x\g{z }$| ziu }NvHzts z |w sH|q?xHoru$|-e c }Bzts{u-w u }NvYzts |-xYoMuNNv q?usYsz?vF$uN o N xHu xF}$|-x$|sY| z?xHzts vHz?x@d2e $|sxYoMq@cN |s }Nz4v$cNz?vHxHvx;}Nz4|$$su*ho |xHoru

Nz sH|g}$|-q f uw xF}Norv z?x;}Nu oMvixF}$|-xiorxwK|-rvHz?r'o Nqtszt|vHz?v x;}Nz4z b>cNo |-rztx vF| NrzvHo#?z?viu-w)xF}Nz o sorqQ}Nrz?x orvHxFso9}>cNxHoruNv'|-vYvHuq?o |-xYz gorxF}#zt|-q?} }Bz?qt|cNvHz'orx skztN |q?z?v zt|-q?} orvHvHo N |x$c gorxF}P|CwKsH|-q?xYoMuN$|-{vF| NrzdS{u*g{z?r{z?x |-xd t vcNz?vHx |W|$$sku|-q?}#xF}$|-x uz?vNux }$| z xF}Norv $sku }Nrz dS~i| z?r xF}Nz?|$$skuQhNo |-xHz } |ivHo Nrzo sorq?}NMz?xJg }NuvHz zt|Nv | | ztsH|-z |so |Nq?z > E |sz)xF}Nz{vF| z|-vbxF}NuvHz w0uNsxF}Nz{q?usHsz?q?xo sorqQ}Nrz?x o#hxc$szd zNuxHz xF}$|-x orxHxHztso NxHuN v |$$suN|-qQ} c$Nro9f-z{u*g{z?rz?x |d v z?xF}Nu $su cNq?z?v)|{vHq?usko N z?xFskoMq xF}$|-x |-vHvYoMNNvz b c$|evHq?usz?v xHu z b>cNo |-rztx4Nz?x+g{usf vHxFscNq?x$c$skz?v@d }Nz?vHz|$$su*ho |xHoruNv)$suNq?z?vHvbxF}Nz |-xF| o 4x;}Nz |xF|}$|-vHz{vHz b>cNztxHo |-rM | |f-zicNvHz{u-w]xF}Nz |-vHvc NxHoruuw $|sY| z?xHzts{o ztBzt ztNqtz| $suBztsxHorz?vu-wbxF}Nz4o sorq?}NMz?x orvHx;so9}>cNxHoruEd xF}Nzts z?xF}Nu v So Nq?9c o $ & o9}>}Nv vF| Nro N xF}NzIbn |-ruskoMx;} | sH| orztx z?vHq?ztx $suNq?z?vHv4|-r xF}Nz |-x;| |-x{uNq?z | qt|}$| rzq?uxHo cNu cNv u |-o |so |}Nrz?v| ' ztBzt ztx$|sH| z?xHztsv@d

& o9}>}Nv vF| Nro N e z?vYqtso9}$z Pwcus z h | NMzO } & z |<| & z | t* ? orv4| vF$z?q?o |- qt|-vHz u-w)n |sfu q?}$|-o 'npuxHz|sru z?xF}Nu vwcusi|$$su*ho |xHz4o wcztsztNq?zxi|-vHxHo Nv /t d & o zt |so |}Nrz?v 8 ` g oMx;}vHu z uo x orvHxFso9}>cNxHoru $% ? g{z{qt|ucNvYz| & o9}>}Nv)v;| Nrzts xHu |$$s*u hNo |-xHzx;}Nz z h Bz?q?xF|-xHoru u-w |w(c$Nq?xHoru 2$ |-v wcurruQg v@d2bo svHx g{z q?}NuuvHz4| o NorxHo |- vHxF|xHz4u-w)zt|qQ} u-w)xF}Nz |sko | }NMz?v o vHu zt}N*u g\d~ z hx g zNorqrf vHu z |so |}Nrz c$$|vHvHorCorxHv

q@c$sHsztxivHxF|-xHz | q?u >cNxHzorxHv4$su }$|}NoMrorx orvHxFsko }>cNxYoMuNpo ztCxF}Nz |-vHvHor ztxHvixHu xF}Nz4uxF}Nzts |so |}Nrz?v@d }Nzt g{zvF| Nrz|vHxF|-xYziw0us }$|-vHz uN xF}Norvj$suN}$|}NorMorx orvHx;so9}>cNxHoru | q?u >cNxYz 7 dPbo $|-rr g{z orxHztsY|-xHzxF}Nz'$sz oru cNv xg{upvHxHztNv f-z?ztNo NWx;sH|-q fpu-wxF}Nz'| ztsH|-z | cNziu-w 2$ d/e xF}Nzro orx|-v)x;}Nz c }Bztsbu-wevF| NMz?v{|$$su|qQ}o Norx xF}Norv | ztsY|-z{orv)z b>c$|- xHu 2$ _xF}Nz z h Bz?q?xF|-xHorupuw 2$ g oMx;} sz?vFBz?q?x4xHuxF}Nz oMvYxFso9}>cNxHoru $% $su o z x+g{u q?u orxHoruNv'|sz z?x@dbo svHx xF}Nz & o9}>}NvvF| Nrzts cNvYx5}$zqsz$z+o , A :q 1 2#o }Nz<$suN}$|}NorMorx orvHxFso9}>cNxHoru $ b cNvHxS}Bzv$cNq?}xF}$|-x2g{zqt| z ztx$c$|-rr vF| Nrz | BuvHvHo9}NrzivHxF|-xHz{u-Rw o zt | $uvHvYo }Nrzo NorxHo |-{vHxF|-xYzu]w dIusz h$| Nrz o w $ q?ux;|-o NvNu?ztsku<$su }$|}NoMrorxHorz?v xF}Nzt xF}Nz & o9}>}Nv v;| Nrztsug oMr}$zpo sHsz cNq?o9}Nrzd z?q?u e zt|-q?% } cNvHx5}Bz}Nv vF| NMo N So Nq?9c oDN z?xF}Nu v w0us o NoMxYo |Mo#t|-xYoMuN | | orvHq@cNvHvHoruCu-wbq?u ztsztNq?Oz |szo zt} busf t | ~zt|-J t d ~ u*g v$c$$$uvYzug{z }$| z | |-x;|}$|-vHz A 8 ugorxF} orvHvHo N |xF| | g{zIg|x xHup|$$su*ho |xHz d Nz |so |xu-w & o }>}NvvF| Nro N@w0usBzts w0uNs o NpxF}Norv | $su*hNo |-xHoru uNz?v |-v{wcurru*gv@d2bo svHx g{zo NorxHo |-ro#?z xF}Nz4$|sH| z?xHztskv vHu zt}Nu*g\d z?q?u e wcus zt|-q?}pqt|-vHz o q?ux;|-o No N orvHvYo N |-x;| g{zIr)o x;}Nz orvHvHo N |-xF|cNvHo NCxF}Nz |-vHvYoMNNz | cNz?v u-w Mdusiz h$| Nrz v$c$$$uvYz |sko |}NMz?! v | |szuc$Nu }NvHzts z o pqt|-vHz @d z r{o } vF| Nro N@w su xF}Nz orvHxFso9}>cNxHoru * ? | x;}Nzt ro } v;| Nro N w su xF}Nz orvHxFso9}>cNxHoru 9 d }NorvivHxHztqt|}$z uNNzGcNvHo N| vHxF| |s |&z?vHo | Nz?x+g{usf o wcztsztNq?z'|-ruNsorxF} d }No s e g{z skzt|-vHvHor2xF}Nz $|sY| z?xHztsv '|-q?q?us o N xHuxF}Nz$uvYxHztsorus orvHxFso9}>cNxHoru ? g }Nztsz orv{xF}Nziq?u Nrz?xHz C |-xF|}$|-vYzd/bo $|-rr g{z orxHztsH|-xYzxF}Nz4$sz oMuNcNv x+g{u4vHxYztNv | cNvHzx;}NzvF| Nrz ' |-9cNz?v uw |-v ||$$skuQhNo |-xHoru wcus d c$xHo Nz &* orvHq@cNvHvHz?vixF}Norv|$$su|-q?} o uNsz z?xF|-orxd & o9}>}Nv v;| Nro N qt| |-rvHuu}$z\cNvHz o N |q?zu-wevHzt|sq?}No N u zts)Nz?x+g{usf vHxFs4cNq?x$c$sz?v@d2~i| z?r g{zqt| u o wc xF}Nz & o9}>}NvvF| NMzts z?vHqtso9}$z o xF}Nz$sz oru cNv$|sH|-sY|$}vHu xF}$|-xborx{qt| x;sH|NvHo xHoru w sku uNzNz?xg{us4fvHxFs4cNq?x$c$szxHu|NuxF}Nzts d/usbz h$| Nrz |&wcxHztszt|-q?} v;| Nro N $|vHv)xF}$sku cN} xF}Nz$|sH| z?xYztsvj| ' |-xF|}$|-vHz xF}NzvF| Nrztsqt| z |-9c$|-xYzx;}Nz w0usz ztsvHxFs4cNq?x$c$sz xF}$|-x oMv Yq?MuvHz xYu xF}Nz4q@c$sYsztxNz?x+g{usfvHx;scNq?x$c$sz_zd Md gorxF}No 'uNNz|sq4| $ oMxYoMuN ] z?Mz?xYoMuN us sz ztskvF|- | v;| Nrz | Nz g Nz?x+g uNsf vHxFscNq?xc$sz|-q?q?uNs o NxHu x;}NoMv orvHx;so9}>cNxHoru_vHz?z n | or| | y|9w0ztsx &* d

}NzCz h Bz?q?xF|-xHoru |*ho o#t|-xYoMuN xbn |MusorxF} oMv'|S|$$su*hNo |-xHorug|-rusorxF} xF}$|-x qt|

| MuNqt|- |*hNo c u-w|'$suN}$|}NorMorx |v| w(c$Nq?xHoru uw$|sH| z?xHztsv 0z NvHxHzts z?x|-xd t d & o zt'| |-xF|}$|-vHz A IgorxF} oMvYvHo N |-xF| g{zqt|C|$$su*hNo |-xHz |-vbxF}Nz MuNqt|- |*hNo c w0us wcu c$ }xF}Nzbn |MusorxF} d2]o9f-zixF}Nz

& o9}>}Nv{vF| NMzts xF}Nz n |-rusorxF} qt| }$| rz u z?MvJgorxF} orvHvHo N |-xF| q?uxHo NcNu cNv u |-o

|so |}Nrz?v | C zt$zt ztx$|sY| z?xHztsvd ~ Mx;}Nu cN}CxF}Nzubn |MusorxF} xHzt vxHu$su o z | rz?vHv |-q?q@c$sH|xHz4|$$su*hNo |-xHoru orxx$NoMqt|MrCq?u ztsz?v uszb>cNorqrfr'xF}$|| & o9}>}NvivF| Nrzts d }Nzk n |MusorxF} qt|}$z orz g{z |-v| z?xHzts o NorvHxHorq ztsvYoMuN u-w xF}Nz & o }>}Nv vF| Nrzts dS o fz xF}Nz & o9}>}Nv vF| Nrzts g{zu}$z?o px;}Nz |$$su*ho |-xYoMuN'uw }<|-vYvHorNo N |-9cNz?v4xYu vHu zt}NuQgd ~z hNx sH|-xF}Nzts xF}$| vF| Nrz<|2q?u Nrz?xHz |-x;|}$|-vHz g zq?u >cNxHzpxF}Nz o 8>o;:vxo , p A :qFotMv2p vxlvxq prvx9q : p w0usxF}Nz orvHvHo N ztxFskoMz?vio xF}Nz |xF|}$|-vHzd2e '$|sxYoMq@cN |s g{zq?u >cNxHz _ /

}Nzt | |-rexF}Nz |so |}Nrz?vio 2 / |szuN}NvHzts z o qt|-vHz xF}NzxHzts wcus xF}Norvqt|-vYz4sz b cNo sz?v |x;so o |-]q?u >cNx;|-xHoru orx orvz?orxF}NztsO?ztsuus uNzd xF}Nzts gorvHz g ziqt|:cNvHz| |&z?vHo | Nz?x+g uNsf o w0ztskztNq?z |-ruNsorxF} xHuz | c$|xHz xF}NzxHzts d }Norv q?u >cNxF|-xYoMuN'orv qt|-rMz xF}Nzo 4 @o :@vxlvxqsytRprvxo u-wbxF}Nz\bn |-ruNsorxF} d ~ z hNx sY|-xF}Nzts xF}$|CvF| Nrz Nz g | cNz?v w0uNs g zIcNvHzxF}Nzz h Bz?q?xHz v$c q?oMztxvHxF|xHorvHxHorq?v |-vo w xF}Nz?Pg{ztsz|-q?x$c$|)v$c q?orztx vHxF|xHorvHxHorq?v w su | |-xF|}$|vHz | vHz?xxF}NzNz g |-9cNz?v u-w 'xHu }$z xF}Nz u z?vu-wxF}Nz$uvYxHztsorus orvHxFso9}>cNxHoru dus z h | Nrz o w xF}Nz $|sH| z?xHztsv }$| z4| o skoMq?}Nrz?x orvHxFso9}>cNxHoru xF}Nzt:g{z4}$| z

n

}Norv u zz hNoMvYxHv $su o z

0 8 dxe_w)Nux g{z qt|cNvHzxF}Nz z h$$z?q?xF|-xYoMuN u-w o orxHvN |-q?zd }Norv |vHvHor ztx{oMv{qt|-rrz xF}Nz Il Q$q Iq lvxqsytp vxo u-wexF}Nzbn |-ruskoMx;} d z NvHxHztsI t vF}Nu*g{z x;}$|-x c$ ztsiq?ztsxF|o 2sz? cN |sorx'q?u orxHoruNv orxHztsY|-xHoruCu-w x;}Nzz h $z?q?x;|-xHoru| |ho o#t|-xHorugvHxYztNvgorM q?u ztszCxHuS| ruNqt|- |*hNo c u-wxF}Nz $suN}$|}NorMorx d

$

u5cNvHz & o9}>}Nv vF| Nro N us{x;}NzGbn |-ruNsorxF} o '$sH|q?xHorq?z g{z4Nz?z xHuq?u >cNxHz xF}Nz orvHxFso9}>c xHoruNv $ z q?orztxYMd }Nz?vHz q?u >cNxF|-xYoMuNNv |sz{z q?orztx$su o z xF}Nz $|sH| z?xHztsv }$| z | o sorqQ}Nrz?x oMvYxFso9}>cNxHoru2usvYu zuxF}Nzts orvHxFsko }>cNxYoMuNCw sku xF}Nzz h BuNztxHo |-w | orMd }Nzt xF}Nz orvHxFs9o }>cNxHoruNv u Nux }$| zixF}Norv{wcus g zqt|5cNvHzztNztsH|-]uNxHo o#t|-xHoru z?xF}Nu vxHu *| hNo #o ?z & orrez?x | d t> > sz?vHvz?x |d t d n |u-w$xF}Nz?vHz{|$$su|qQ}Nz?v Pwcus] z h$| Nrz sY| orztx z?vYq?ztx q?uN cN|xHzbsH| orztx | b c$|vHo ~ z gxHu z?x;}Nu v S z h$Nruorx ztso |-xYo z?v u-wxF}Nz(w c$Nq?xHoruxYu }Bz | ho #o ?z xYu vF$z?z c$ q?u zts& ztNq?z deK vHu zvHor$x c$|xHoruNv xF}Nz?vHz ztsko |-xHo z?vqt| }Bz'q?u > cNxHz z q?orztxHrSo Pq?ruvYz wcus d

>

$c xYo Nz t*N4 orvHq@cNvYvHz?v'v$cNq?} z?xF}Nu vo z?x;|-ord ztsz g{z ztxHorugxF}Nzpqt|-vHz g }Nztsz |-r |so |}Nrz?vo |skz oMvYqtsz?xHzdSe xF}NorvivHorx$c$|-xHoru yBcNvHvHz?r z?xi|-xd t }$| zvF}Nu*g x;}$|-x ru

g N} ztsz M orvxF}Nz z h Bz?q?xHz v$c q?orztxvHx;|-xHorvHxHorq o ztP} 2 b>c$|-xHoru d ~ vNuxHz o PxF}Nzp$sz oMuNcNv vHz?q?xYoMuN xF}Norv Hx zts |& }$zCq?u >cNxHz }P|PvHxF| |s |tz?vHo |PNz?x+g uNsf o w0ztskztNq?z |MusorxF} d

J YLV\`V

m Y`

eK| |-x;|}$|-vHzCgorxF} orvHvHo N |xF| |$|sxHorq@cN |s |so |}Nrz |&5}Bzu }NvHzts z o vHu zqt|-vHz?v us orx |& N z ztsC}$z u }NvHzts z dSeK xF}Nz |-xHxHzts{vYoMxc$|-xHoru g{zvF|& xF}$|xxF}Nz |so |}Nrzorv Nq ,, o@tMd ~ u-w xF}Nz z?xF}Nu v z?vHqtsko }Bz o #x;}Nz'$sz oru cNv vHz?q?xHoru#qt|}BzcNvHz xHuprzt|sH |&z?vHo | Nz?x+g{usfv q?uxF|-o No Npo ztxHoz }No $ zt |so |}Nrz?v@d }Nz Nz?x+g uNsf vHxFscNq?xc$sz |&}$z^MhNz | uNrPxF}Nz'$}vYoMqt| $su }$|}NorrorxHorz?vc$Nq?ztsxF|-o us^}$uxF}#x;}Nz'Nz?xg{us4fpvHxFscNq?xc$sz'| $|sH| z?xHztsv |&}$zGc$Nq?ztskxF|-o Ed Nz4z h$| Nrz4uw rzt|sHNo NxF}Nz$su }$|}NorrorxHorz?vu-w)|IMhNz vHx;scNq?x$c$szgorxF}C}No zt |sko |}NMz?v orvxF}Nz ~ cNxHuN{ |-vHv4|-ruskoMx;} u-w }Nz?z?vHz |p| x$cNx &? g }NorqQ}p$zts w0us v ANt>p AA>o@@z <@q pro , :32lp$p q :$lvxqFyt ) }Nz u z?Ec$ ztsro NxF}Nz |MusorxF} orv | |&z?vYo |Nz?x+g{usfagorxF} | vHo Nrz}No $ zt |so |}Nrz5g }NuvHz vHxF|xHz?v q?uNsHsz?vFBu xHuxF}Nz:c$>fNu*g Cq? |-vHvHz?vd }Nz Nc }$ztsiu-w vHxF|xHz?v uw xF}Nz}No $ zt |so |}NrzorvSc$Nq?ztsxF|-o | }$|-vb| $skoMuNs oMvYxFso9}>cNxHoruEd ~ rvHu xF}Norv)}No $ zt |so |}Nrzszt ztsv{vHz?xHv{u-weu }NvHzts |}Nrz |so |}Nrz?vq?u orxHoru$|-rro zt$zt ztx@d }Nzj|-ruNsorxF} vHzt|sq?}Nz?v u zts |so |-xHoruNvu-w x;}NoMv u z?k0o Nq?9c o N xF}Nz c }$zts u-w{vHxF|-xYz?v4u-w{xF}Nz }No $ zt |sko |}NMz 7 cNv+ o N'| ztsvYoMuN'uw xF}Nzu n |MusorxF} xHu |$$su*ho |-xYz4xF}Nz$uvHxYztsorus $sku }$|}NorroMxCu-w)zt|-q?} u z? |so |-xHoruEd e p| $ orxHoru g{z4qt|cNvYz z?xF}Nu viwcus rzt|sHNo NgorxF} orvHvYo N |-xF| xHu o ztxHo wc d T

ZC`VX KY XAZ X `+X 2Y JX ]kY

]o9f-z|-r x$cNxYuso |-rv xF}Norvix$cNxHusko |eorv o Nq?u Nrz?xHzdJus{xF}NuvHz4szt| ztsv o xHztsz?vYxHz o Crzt|sHNo N usz |}Bu cNx4sY|$}Norqt|- u z?rv | W z?xF}Nu v w0uNsiMzt|sHNo N xF}Nz g z u*eztsixF}Nz wcurru*go N@| $ oMxYoMuN$|- sz;wcztsztNq?z?v@d ~ usz z?xF|-orrz NcNo z xHu xF}NzrorxHztsH|x$c$sz4qt|}$zwcu c$ o c$xHo Nz t d

}$|sHNo |f t>@ $su o z?v4|Czt|-vHKxHu* skzt| o xFsu cNq?xHorupxYu xF}Nz |&z?vHo | Nz?x+g{usfCszt$sz vHztxF|-xHoruEd Norz?z? }$|-rxHztsiz?x|-xd & | z?q f-zts | z?x|-xd t } o zvHo Nrz oMvYq@cNvHvHoruNv u-w z?x;}Nu viwcus Mzt|sHNo N |&z?vHo |pNz?x+g uNsfv wcus u |-o Nvq?uxF|-o No NuNr orvHqtsz?xHz |so |}Nrz?v@d c$xYo Nz\ &* | z?qrf-zts |4| 5 & z?orzts t* $su o z usz z?x;|-orMz orvHq@cNvHvYoMuNNv@dS2h$$zts o ztxF|-$q?u $|sorvHuNvu-w oeztsztxbMzt|sHNo N|$$suN|-qQ}Nz?vqt|I}$zw0u c$ o {uNuBztsb| ztsvf-u orxHv t?-~ ro wcztsorv| uuBzts t*N? e|c$sorx?zt z?x{|-xd t* ? {u*g{z?rz?x|-xd &? | z?qrf zts | z?x |-xd t } d e p| $ orxHoruCxHu o sz?q?xYz W u z?Mv sz?vHzt|sq?}Nztsv4}$| z|-rvHu z h$Nrusz NsH|$}Nviq?ux;|-o No Nc$ o sz?q?xHz z z?v4|-v4|fNNuQg Mz z szt$sz?vHztxF|-xYoMuNEd }Nz?vYz szt$sz?vHztxF|-xYoMuNNv4|sz orvHq@cNvHvHz _zd Md o e|c$skoMx4?zt t?D zts | | P zt|skm &? | s zt }Bzts t d |&z?vYo | z?xF}Nu viwcus rzt|sHNo N v$cNqQ} u z?rv w su |xF||sz z?vHqtso9}Bz } 4|@g o | e|c$sorx?zt t | c$xHo Nz t* d bo $|-rr vHz ztsH|-]vHuw0x+g|szvYvHxYz v w0usMzt|sHNo N sY|$}Norqt|- u z?rv}$| z\}$z?zt o NMz ztxHz d }Nu |-v B Norz?z? }$|-rxHzts | & or fv t }$| zbqtskzt|-xHz |vHvYxHz xF}$|-x xF|f-z?ve| Mzt|sHNo Nj$suN}NMz vFBz?q?o z |-v | |&z?vHo |Nz?x+g{usf | q?u Norrz?vxF}Norv$su }Nrz o xHu | & o9}>}Nv+KvF| Nrztsiq?u >cNxHzts $suNsH| d | v$}Bzts t | vH||s z?x4|-xd t* }$| zG}>cNorrxvYvHxYz v x;}$|-x qt|'rzt|sY o sz?q?xHz e c$ o sz?q?xHz e | < o#hNz sY|$}Norqt|- u z?rvkcNvHo N| |sorz?x u-wbvHq?uso N z?xFsorq?v@d _I VaZ S[ m VX

e xF}$|>f 4| o }Norq f-ztso N sorqk us orx }$sorv{n

~ ft|-o9f-z t ~ ft|o fz \dL t N d ~ Nz g ruuNf |-x{xF}NzvYxF|-xHorvHxHorqt|- u z? o ztxHoqt|-xHoruEd z+ltprl:vxqFyt>pyt ANvxy\Ilvxq9: SytWvxz+y2 A& d ~ ro wcztsorv4| {uNuBzts t ~ ro w0ztsorv de| {uNu$zts & dS t d ~ @z |-9c$|-xHoru2u-w|p|-ru* sorxF} wcus o cNq?xHo zrzt|sHNo NWuw |&z?vHo | }$z?rorz;wNz?x+g{usfvGcNvHo N vHo cN |-xHz P |-x;|vHz?xHvde Jz3y :$oo , qFt -p\0y / otMv Syt /roz+o@t :oIy t /t :$oz$vxlqstMvxn:qs t zvxq :@qsl 2$tMvxo32=2#q - ot :o | zt|-xHxYMz ~ $|-z?v dnpusk| |cw |$Ed | v$}Bzts & | v$}$ztsk $Wd t dCn \ d }NvHorqt| zts |- z?o z?9}$ztskMd

%

|&z?v Et |&z?v d t d ~ gz?vHvF|&WxYuQg|s vvYu o NS|#$su }Nrz o PxF}Nz uq?xFsko Nzpu-w q?}$|Nq?z?v@dJjqsy\Io@vxzq9{*l W dey{zt$so xiu-wbusoro $|-g{us4fu-w d z?o NroMq?}pz?x |d A& z?o NroMq?} ed D cNzts uN x \d }$| z yd | {uNu$zts D& dA t d }Nz ~ ~ y{n uNNoMxYuso N4vHNvHxHz ~ qt|-vHzvYx$c IgorxF}x+g{u4$su }$|}NorrorvHxHorqo w0ztsztNq?zixHz?q?}$No#b cNz?v{wcus }Bz?Morz;w Nz?x+g{usfv@de Jz+By :o$o , qst -p0y /Iv o # o;:yt , A z+yO>o$lt Syt / o@z+ot :o\yt zvxq :@qsl2 $tWvxoB292q -No@t :o\qst o , 9q :@qstMo |]u uN $|-z?v d $so Nzts zts |- W ztskMo Ed c$xHo Nz /t> c$xHo Nz d t@ d }Nz?usk sz Nz ztxu |&z?vHo | Nz?x+g uNsfvd/eK Jz+By :o$o , qst -p y / # Bo <@otMv Syt /roz+o@t :ouyt Lt :o@zvxlqstMvxn qF t zvxq :@qsl 2 $tWvxBo 292#q -No@t :o |S]uv ~ Nz?rz?v ~ $|-z?v dnpusN| |cw |$Ed c$xHo Nz /t* c$xHo Nz d t* d BztsH|-xHoruNvwcus]rzt|sHNo NgorxF} sH|$}Norqt|- u z?rv@d y ANztMl 2 0y / az$vxq :qFl 2 $tMvx3o 2=2#q - o@t :$o io prol0z : t d c$xHo Nz /t c$xHo Nz d & d ~ cNo z xHux;}Nz rorxHztsH|x$c$szu Mzt|sHNo N4sH|$}NoMqt| u z?rv@d z?qQ}$Norqt|-by{ztBusxeKO $ ~ ~ N~ ~j z?vy{z?vHzt|sqQ}ztxHzts d }$|sHNo |f t> 4}$|sYNo |f d &>@ d |&z?vHo |gNz?x+g uNsfv^gorxF}Nu cNxxHzt|skv@d l - l qFtWo t d x$cNx $Mdi t d |tz?vHo |Cq? |vHvHoqt|-xHoru }Nz?z?vYz || x$cNx Et }Nz?z?vHz | L de| ~ cNxHu |vHv }Nz?usp| sz?v$cNrxHvdGe |&N| e \d o |-xHz?v$f }$|No sku & d $ xF} L d | xF}Nc$scNvF| yd z orxHusv , <lt :o puqs t \tWyw 2#o , -N o kq p :$y <o@znlt , lvx l qstMqst - $|-z ~i~ ~ e sz?vYv n
Syt / o@z+o@t :$oIyt az$vxq :qFl 2$tWvxBo 292q - ot :o\lt ,1# vxlvxq p vx=q : p$|Lbx@dA |c zts |-rz S $|-z?v & t d uNq?orz?x wcus ~ sxHoq?o |-7e xYz?MrorztNq?z o xF|-xHorvHxHorq?v@d {uNuBzts Et uuBzts & dk t du >cNxF|-xYoMuN$|- q?u Nrz horxSu-w $su }$|}NorrorvHxHorq#o wcztsztNq?z cNvHo N |tz?vHo |}$z?rorz;wNz?x+g{usfv\cy{z?vHzt|skqQ}CNuxHz d zvxq :@qsl 2 $tMvx3o 2=2#q - ot :o N d {uNuBzts| ztsv$f-u oMxYv Et uuBzts & d]| ztsvf-u orxHv d2 t d ~ |&z?vHo | z?xF}Nu wcus{xF}Nzo cNq?xHoruCu-w)$su }$|}NoMrorvHxHorq Nz?x+g{usfv)wKsu |-xF|> d l : qstMo o$lz$tWqFt - * >d

!

!

%

$

%

*

{uNuBzts| ztsv$f-u oMxYv Et> uuBzts D& d$| ztsv$f-u orxHv d9$| c$|sk A&>@ d ~ |&z?vHo | z?x;}Nu wcus]xF}Nz{o cNq?xHoruu-w $sku }$|}NorroMvYxHorq Nz?x+g uNsfv w su |-x;|>d z?qQ}$Norqt|-yzt$usx nPe > z?q?xHoru u npz orqt|-7e w0uNs |-xHorq?v xF|wcus No ztsvYoMxd {u*g{z?r]z?x |-xd t 4{u*g z?r yd 4|@g o e ~ d | z@}$|-vHxHo |No d t d ~ q?u $|sorvHu#u-w vHz b>cNztxHo |-brzt|sHNo N z?x;}Nu viwcus o Nq?u Nrz?xHz |xF|>d z?q?}$Norqt|-)y{ztBusx BB zt$|skx ztx u-w xF|xHorvHxHorqt|- q?orztNq?z iNo ztsvHorx {uMrz?zu]uN uEd {u*h Et* 4{u*h yd2 t* d su }$|}Norrorx w sz b>cNztNq?<| szt|-vYu$|}Nrzz h Bz?q?xF|-xHoruEd Io@zq=:lt >y ANz$tWl 20y / np =q : p E B d 4|-Nc | c>} Lt j4| c M d| c>} nd/ &* d xF}Nz|$$skuQhNo |-xHoru u-w)$su } |}NorrorvHxHorq4o wcztsztNq?zd z?qQ}$Norqt|-y{zt$uskx n |& D z?q?xHoru u npz oMqt|e w0uNs |-xHorq?v D xF|w0us iNo ztskvHorx q?}Nuu u-w npz orq?o Nz x;|w0uNs e ~ d ~ }$suvHoru Et> ~j }$suvHoru Q dM &>@ d uqt|-$z h$$sz?vHvYoMuN |N c$|-z?vwcus$su }$|}NorrorvHxHorq z Bzt ztNq?zd/eK iz+3y :$oo , qFt -piy / # 3o <@o@tWv Syt / o@z+o@t :$oyt /t :$oz$vxlqstMvxnqFt zvxq :@qsl 2 tMvxBo 292#q -No@t :$o | ]uv ~ Nz?Mz?v ~ $|-z?v & dnpusk| |cw |$Ed uNv ~ z g bus4fMd zbo Nz?xHxHo Lt zbo Nz?xHxHo M d/ t d oyz$nI0y / Jz+y 17l 1 9q 2qsvxn*d orrz?| 6 z & suux Mt z & suNux nd t d _Avx$q Il 2 # vxlvxq9p vx9q :$l 2 ;o :q9p qsyt>p dpnpq & sH|gJ orM ~ z g bus4fMd z NvYxHzts z?x |-xd t z NvHxHzts ~ d |-o s e ~d | yc>}No udJ t dn |*ho c ro9f-z?ro }NuNu wKsu o Nq?u NMz?xYz |-xF| o |ixF}Nzi n |-ruskoMx;} d >y ANz$tWl 2 y /mv No Jyn*l 2 # vxlvxq prvx9q :$l 2 # By :@qso@vxn d u v &\ \ uN v $Md/ t\ d NxHo c }$sY|NqQ}No NMd ) io p )j # d |Nv | n \ |Nv $Md]| npo NoMz@f&| Bd7 t>@ d _Avx$q Iq lvxqsytPl 2 - yz$qsv p /ryz tWo@vxw2yz4{@p\lt , -Nz+Ol p dbn |sq?z?]z@fNf-ztseKNqd ~z g busfWd ]s ztN}$ztsk t k]s zt }Bzts n dN t d }Nz)q?}$|-o sH|$}in@|sf-u $suBztsxd # :lt , qFtWl <@qslt >y ANz$tWl 20y / # vxlvxq prvx9q : p E d & |}$u*gz?x |-xd &* & |}Bu*g d & |-ror d | $ztNq?zts N d> t*N dQ7 q?orztxbo Nrz ztxF|-xYoMuN u-wbsH|$}|-rusorxF} vCcNvHo N q?uxFsH|q?xHoruEd2eK Jz+By :o$o , qst -pC0y / # d & z?oMzts| z?qrf-zts | t & z?orzts ud$| z?q f-zts | ud y{z orvHz z@}$sc$|s t d ~ q?}$|sH|-q?xYztso#t|-xHoru2u-wxF}Nz o sorq?}Nrz?x orvHxFso9}>cNxHoruP|$Nrorqt|}Nrz'xYu'rzt|sHNo N |&z?vHo | Nz?x+g{usfv@d z?qQ}$Norqt|-by{ztBusxin yi yO * $ n

%

& z | Et* & z | 7 d| %& z | udM t d xHuNq?}$|-vHxHorqsz? |*h |xHoru & o }>}Nv & z || 6 orvHxFsko }>cNxYoMuNNv<| xF}Nz |&z?vHo |gsz?vHxHusY|-xHoru#u-w4o |-z?v@d zlt>p l:@vxqsyt>pyt ilvxvxo@zt tWl 2#nprq plt , l: qFtWo $tMvxo32=2#q - o@t :$o \ d & oMrez?xi|-xd t & orM d nPc$sHsH|& d | WskoMN}x nd t@ d Jzl :@vxq9:$l2 _AvxqXIq rlvxqFytWd ~ qt| z orq sz?vHv ~z g buNsfMd & uu eEt & uu e e4d t d iz+y 14l 1 =q 2#qsvxnlt , v o oq - qFt - y0/ <@q , o@t :$odP |9w Nztsv ~ z g bus4fMd & uu eEt & uu e ed/ t d o vu-w)$su }$|}Norrorx d # :qFot :o Wt >d & uu eEt\ & uu e e4d t\ d o Oprvx$q IlvxqFyt0y / Jz7y 1l 1 =q 2#qsvxqFo prd2nPe sz?vHv | }$so z n ~ d i|-q fo N & \ |qrfo N e4di t d o PIo@9z - ot :ou0y / Jz7y 1l 1 =q 2#qsvxn*d| }$sko z iNo ztsvHorx sz?vHv ~ z g bus4fMd i|-vHxHo Nv A& Gi|-vHxHo Nv dM t d$npuxHz |sru4vF| NMo N z?xF}Nu vcNvHo Nn@|sf-u qQ}$|o Nv | x;}Nz?o si|$Nrorqt|-xHoruNv@dBjqFy Govxz$q {Ql & d z?qrfzts | Et a z?q f-zts | udi t d ~ xFsY|-q?xF|}Nrz|-rusorxF} wcus o |-NuvHo N cNMxYo Nrz orvHzt|-vYz?v@de iz+3y :$oo , qFt -p0y /Gv o q / v yz4{@p Oy yt Lt :o@zvxlqstMvxnuqst zvxq :@qsl 2 tMvxBo 292#q -No@t :$o | o vHus ~ $|-z?v t> d ~ vHvHuNq?o |-xHorujw0usLiNq?ztsxF|-o x o ~ sxYo q?o |-Me xYz?MrorztNq?z npu c$ xF|o orz g ~ d ~ rvHuo P zt$soru n d }$|-q?}xHzts yd |$|- 2d | ]z zts $Md z orxHuskv

Lt :o@zvxlqstMvxnIqF t zvxq :@qsl 2 $tWvxBo 292q - ot : o |e$|-z?v d ~ usxF} ur | e ~ z g bus4f & d & z?orzts t* \z?q f-zts | ud| & z?orzts ud/_z?q?z }$zts t*N dS]zt|sYNo N z?qrfzts || 6 |&z?vHo |Nz?x+g{usfv@d z?q?}$Norqt|-by{zt$uskxn yO yO $ nporqtsuvHuw0x y{z u e ~ d z?qrfzts | z?x |d A& }G z?qrfzts | ud n@| |No ~ d | 2z?M | nd7 t | d yzt|- g{us |$Nrorqt|-xHoruNvuw |&z?vHo |Nz?x+g{usfv@d S\y A tW=q :lvxqsyt>p0y /Iv o D d z?qrfzts | z?x |d A& | \ z?qrf-zts | ud & z?orzts ud | }Norqrfztso N ud2 t } d]zt|sY o N |&z?vYo |PNz?xg{us4fv }Nzq?u }No $|-xHoruPuwafNNu*grz z<| vHxF|-xYoMvYxHorqt|- |-xF|d l : NqFtWo

olz$tWqFt - xHu |$$zt|s d vH||s z?x |d A&* G vH||s e d f x;} d | }Norz?vHvYu i dJ t*N dvHzts v cNo z xHu e )y $ d z?qQ}$Norqt|-sztBusx zt$|skx ztxu-wn@|xF}Nz |-xHorq?v| u >cNxHzts q?orztNq?z ~ |-9}$usk zt |s4fMd u*g|s eMt G uQg|s e yd2 t d{z?q?orvHoru |$|-rNvHorv ztskvF$z?q?xHo z?vuN'o wcztsztNq?z e z?q?orvHoru | z h$$ztsko ztxF|xHoruEd Jz+By :o$o , qst -pC0y /\v o * d

%

%

\

u*g|s eMt G uQg|s e ydA & dN]su o !AcNztNq?z4xHu4skz?Mz |Nq?zxHu\fNNu*grz zdeK ro zts yd $ orxF} $Wd z orxHusv t A ot :o kqsl - z+l\p|joB2#qso4/ o@vsp|lt , ko@:@q p qFyt tMl2#np q9p q?}$|NxHzts d | orrz?'| uNv ~z g busfWd u*g|s | n@|xF}Nz?vHu Et Gu*g|s e ydb| n@|xF}Nz?vHu $Md t>@ de !AcNztNq?z o |-sY| v@d e u*g|s e ydb| n |-xF}Nz?vYu $Md z orxHuNsv iol , qst -p ytv o izqFt :@q 2#o pult , ]\ 2#q9:$lvxqFytp 0y /"@o :@q prqsy t tMl 2np q9p u9c z\e+e $|-z?v d xFsH|xHz?orqz?q?orvHoruNv & su c$ npztNru |s4f ~ d d t d ~ $$su*ho |xHoruNvPo $ztNvYzt'| ~ ztsvHzt Lt + $ztNvYzt d| ~ ztskvHzt 6 |&z?vHo | }$z?rorz;w^c$No ztskvHz?v wcusufNNu*grz zP}$|-vHz vHvYxHz v@d z?q?}$Norqt|-szt$uskx eKNvHxYoMxcNxHz'u-w Mz?q?x;suNorq NvHxHz v $~ | }Bus5iNo ztsvHorx ~ |-9}Bus zt |sfWd $uN}$NvHu t $u}$NvHu t d/ u*ggw |-vYxorvruqt|-vHzt|skqQ} eK #] $|-z?v d |}$Nz | z?x |-xd & |}$Nz | ud ru orq d | <{ ztskv$f B~ d z orxHusvu t d DA , Io@tWv Lt , oz /t :$oz$vxlqFtWvxn 3o A zq9p vx9q : plt , jqFl*p o p d| }$sko zmiNo ztsvHorx sz?vHv ~ z g bus4fMd |sY t |sY ydI t d ~ vHo Nrz ztso |-xHoru u-w u v'|-ruNsorxF} w0uNs uNxYo |- }$sH|NqQ}No Nv@d o@vxw2yz4{@p E \ d |-vYv | y|&wcxHzts t |-vHv ydb| y |&w0xYzts )~ d t d |&z?v w |-q?xYusv | S u z?c$ q?ztsx;|-o xd z?qQ}$Norqt|-{y{zt$uskx zt$|sx ztxiu-w xF|-xYoMvYxHorq?v |sHNz?orz npz?rMuNP No ztskvHorx ~ d us w Et uNs w yad & d o Nzt|s&KvF$|-q?z}$z?vYx+x svHxbvHzt|sqQ}Ed zvxq :@qsl 2 tMvxBo 292#q -No@t :$o L M D d e|c$sorx?zt /& \e|c$sorx?zt d/ t d ;o :4v A z+o pkyt SytWvxqFt - o@t :@n l 1 2#o p d/iNo ztsvHorx u-w ~ |- }Bus sz?vHv N~ |-9}$us zt |sfWd Norz?z? }$|-rxHzts 2t G |c$sorx?zt d| 6 Norz?z? }$|-rxHzts ud t d7 uqt|- q?u e|c$sorx?zt'| 6 >cNxF|xHoruNvg oMx;}'$su }$|}NoMrorxHorz?vuNsH|$}Norqt|-evHx;scNq?x$c$sz?v| x;}Nz?o s|$NMorqt|-xYoMuN'xYu z h$$ztsxivHNv+ xHz v@ d ) iyn*l 2 # vxlvxq prvx9q :$l 2 # By :qFovxnIj t * d e|c$sorx?ztz?x |d t* ae|c$sorx?zt d - }Norz?vHvHu d | Norz?z? }$|-rxHzts udN t*N dto |-NNuvHxHorq vHNvHxHz veqtszt|-xHz } u z?vYz?Mz?q?xYoMuN z?xF}Nu v ~ qt|-vHzbvHx$c dNeK }Nz?z?vHz | * d9| 4 wcus e yd z orxHusv lt ,1# vxlvxq prvx9q : p $ u9c zI]z?q?x$c$szI~uxYz?vo xF|-xYoMvYxHorq?v $ $|-z?v 7 t d $so Nzts zts |- ~z g buNsfMd n | or|| y|&wcxHzts t* n@| oMN| ud{| y|&wcxHzts ~ d t dnpu z?vYz?Mz?q?xYoMuN | |-q?q?uNc$xHo N wcus u z?c$Nq?ztsx;|-o x o sH|$}Norqt|- u z?rvcNvHo N q?qt| vig o u*g\d y A ztMl 2E0y / v o Ioz$9q :$lt # vxlvxq prvx9q :$l 2 appr3y :@qslvxqFyt $ & &* d

%

%

%

#!

%

%

%

%

%

npz?xFsuN$urorvz?x |-xd t npz?xFsuBurorv ~d y{uvYzt }N9cNxF} {~ d y{uvHztN}N9cNxF} nd b z?rrzts ~ d | z?rMzts Bd t d2b>c$|-xHoru u-w vYxF|-xHziqt|-rq@cN |-xHoruNv} w |vHx{q?u >cNxHo N |qQ}No Nz?v@d >yANz$tWl2y0/

N o I=q :l 2 Nn@p 9q : p t t d ~ zt|- t a~ zt|- yadM t d suN}$|}NorMorvHxYoMqio w0ztskztNq?zcNvHo Nn |sf-u qQ}$|-o npuxHz{|sru z?xF} u v@d z?q?}$Norqt|-y{zt$uskx y & yO zt$|sx ztx4uw u >cNxHzts q?orztNq?z iNo ztsvHorx u-w usuxHuMd vHxYz et vHxHz e d2 t d tPz+o Az+o p o@tMvxqst -:lt , pry 2 <qFt - , ;o :q9p qsy t Az+y 1 2o prd }N xF}Nz?vYoMv zt$|sx ztxuw7)No Nz?ztso N* q?uNu orq NvHxHz v xF|wcus iNo ztsvHorxd zt|sk Et\ zt|s $Md\ t d EcNvHoru $su$|-N|-xHoru | vYxFscNq?x$c$so Ngo }Bz?Morz;w Nz?x+g{usfv@d zvxq :@qsl 2 $tWvxBo 292q - ot :o N *W d zt|sk Et zt|s $Md2 t d iz+y 14l 1 9q 2#q9p vx9q : Jo$lprytWqFt -5qst $tWvxBo 292q - otMv # nprvxo p kovxw2yz{pG0y / 2l Ap q 1 2#o $t /rozot :o@d n zt|s $Wd | zts | N dA t>@ d ~ xF}Nz?usu-weo w0ztsYsz qt|cNvF|-xYoMuNEdAe zt|sk | ~ rMzt $Md bo9f-z?v yad | * | z g|M Bd z orxHusv \tMyw 2#o , - o io Az+o p o@tWvxlvxqFytGlt , Jo$lprytWqFt Jz3y :$oo , qFt -py / v No # @o :$yt , $tMvxoz$tWlvxqFytMl 2 Syt /roz+o@t :o $|-z?v W dnpus| |cw |$ ~ z g busfWd sz?vHvz?x |d A& sz?vHv d z@c>f-uMvf d z?xHxHztsro N d | b |$Nzts E d2 t d A Io@z9q :$l 2 i@o :@q o pqst Od | }$so z\ No ztskvHorx sz?vHv ~ z g buNsfMd y| | c$sxF}Noe| ~ uo Nu t 4y| | c$sxF}No d]| '~ uo Nu B~ d2 t dby{zt|-xHo z4z h BztsxvHNvHxHz wcus wK|cNrxxHuMztsY|x v$c$$zts orvHusq?uNxFskuxdSeK o $Norv d| |-xYxHu d z orxHuskv

Sy # A vxozpqFt Jt -NqFtWo$oz$qst - $|-z?v d ~j ztsorqt| uq?orz?x u-wnpz?q?}$|Norqt|-)No Nz?ztsv {uNsxHzin@| ztsH| ~ d y{orvHv;|Nzt /& 4y{orvHvF|Nzt $MdS t d xHuNqQ}$|vHxHorqq?u Nrz horxsgorxF} orvHq@cNvHvHoru d y ANztMl 220y / v o Jyn*l 2 # vxlvxq prvx9q :$l 2 # By :qFovxn@| # o@zqFo pj >N | ' \ d y{uN}No Nv /t\ 4y{u }No Nv $Md2 t d ~ Nz g |$$su|qQ} xHu qt|cNvF|eo w0ztsztNq?z o uNsxF|-rorx vHxc oMz?v gorxF} v$cNvHxF|o Nz z h Buv$c$sz4skz?v$cNrxHv@d lv o Ilvx9q :l 2 y , 3o 2#qFt - B t>t d yc>}No Lt yc>}No ud t d |&z?vYo | o wcztsztNq?z w0usqt|cNvF|-]zez?q?xHv }Nz4suMz u-w sH| u o#t|-xHoruEd tWtMl 2p0y / # vxlvxq prvx9q : p * d

%

%

!

%

ycNvYvHz?r z?x |d t* ycNvYvHz?r d E o zts $Md | urMzts ud2 t*N d ~ |NxHo z $su }$|}NoMrorvHxHorq Nz?x+g{usfv@d z?q?}$Norqt|-by{zt$uskx C * * No ztskvHorx uw |-ro w0uNsHNo | A ztsfz?Mz?d | |z Et* | |-z 2d/ &* d o yANt , lvxqsytp\y0/ # vxlvxq p vxq=: prdu zts ~ z g busfWd q?}g|s A& qQ}g|s+ & d\ t d vHxHo |-xYo NPx;}Nz o ztNvHoru u-w | u z?xd tWtMl2py0/ # vxlvxq9p vx9q : p M > * d }$|-q?}xHzts Et }$|-qQ}xHzts ydS & d suN}$|}NorMorvHxYoMq o w0ztskztNq?z | o !AcNztNq?z o |-sY| v@d _ ozlvxqFytp io prol0z : D \ * d }$|-q?}xHzts{z?x |-xd Et }$|-q?}xYzts yd B~ ztsvYzt d | u} d/ & d o skz?q?xHz sz cNq?xYoMuN |-ruNsorxF} v| ' z?q?u $uvF|}NMz sH|$}Nvdie Jz+By :o$o , qst -pC0y /Gv o # q Qv Syt /roz+o@t :oyt Lt :o@z vxlqstMvxnIqst zvxq :@qsl 2 $tMvx3o 2=2#q - o@t :$o | uvHxHu n ~ $|z?v d ~ vHvHuNq?o |xHoru w0uNsSiNq?ztsxF|-o x o ~ sxHoq?o |-2eKxHz?rroMztNq?z nt d Norz?z? }$|-rxHzts| |c$sorx?zt Lt Norz?z? }$|-rxHzts ud]| |c$sorx?zt dS t d z b>cNztxHo |- c$ |-xHo N u-weq?u orxHoru$|-$su }$|}NorrorxHorz?v u o sz?q?xHz sY|$}Norqt|-]vHxFscNq?x$c$skz?v@d kovxw2yz4{@p d q?}Nz?o Nz?v yd/ t d Sl Ap lvxqFyt>| iz+o , =q : No sxHz?viz?x |-xd Et No sxHz?v W d & r uNc$s d | 6 vxqsyt>|Slt , # ol0z : d $so Nzts& ztsk | ~z g busfWd cNzts u x | {uNuBzts t cNzts u x d | {uNu$zts & di t>@ d ~ q?u }No $|-xYoMuN u-w z h$|-q?x'|-ruskoMx;} v w0uNs o wcztsztNq?z uN |tz?vHo |}$z?rorz;w Nz?x+g uNsfvd $tMvxoz$tWlvxqsytMl 2 y ANztMl 20y / ]\Az+y *Xq Ilvxo Jo$lprytWqFt - N > * d |"s H| Et |"s H| yd2 t dbo o N uNNxHo |-/}$sH|NqQ}No Nv@d kovxw2yz{p d & or fv dS t d cNv ~ $su* }Nu |-v{z?x |-xd & }Nu |v ~ d Norz?z? }$|-rxHzts ud | sY| xYu Bzts w0uNs |tz?vHo |Co wcztsztNq?zcNvHo N & o }>}Nvv;| Nro NMdueK ztsH$|s u $Md ztszts $Wd $ orxF} ~ d z orxHusv jln*o prqslt # vxlvxq p vx=q : p $|-z?v * d hw0uNs No zts 4|go eN~ d | 6 vHorx sz?vHvd orxHxYztso NxHu Et orxHxHztso NxYu udi t d: |-xHo NW| o |-NNuvHxHorqvHNvHxHz cNvHo Nc$Nq?uN s z qt|-vHz?vd ]\ 2#qso , # vxlvxq9p vx=q : p $ * >d { ztsv$f | |}$Nz | t { ztsv$f ~ d| |}$Nz | udJ t d $Nc ztx c$ zts c$Nq?ztsx;|-o x Sz@c$skoMvYxHorq?vj| }No |-vHz?v@d # :@qso@t :$o Mt t* B > d %

!

%

"!

!

$

%

%

zts | | zt|s & zts | d| zt|s $Wd\ t d 2b>cNo |-rztNq?zS| vH$xF}Nz?vHorv'u-w qt|cNv;|- u z?rv@d eK iz+y3:$oo , qFt -pGy / # q *v Oyt / o@z+o@t :$o:yt Lt :o@zvxlqstMvxnqst zvxq :@qsl2 $tWvxoB292q -No@t :o | uvHxHuN n ~ $|-z?v >dnpusk| |cw |$Ed uN5~ z@c |$C| npusztNvHxHztsH Et* u~z@c |$ $Md-| npusztNvHxHztsH - d t d o yzn:0y / \l Io p\lt , :ytMy Gq9:jo l<@qsyzd so Nq?z?xHu No ztsvYoMx sz?vHv > sko Nq?z?xYu ~>$Md o >frzts Lt\ jo >fMzts yadM t\ d }Nz |-vHvYz?vHv ztxbu-w $skoMuNs orvHxFso9}>cNxHoruNv{o |&z?vYo | |$|- NvHorv@d Ioz$9q :$lt # vxlvxq prvx9q :$l 2 appr3y :@qslvxqFyt >y A ztMl 2 [ d bus4f Et buNsf $Md t d jln*o p qFl& t Io@v y , p / yz v o ltMl 2#np q9p0y / Iq Cp :32lp$p q Jo , yz qFt :\y 2#o@vx!o A72#vx=q <lz$qslvxo , q9p :@z+o@vxo , lvxld }N x;}Nz?vHorv zt$|sx ztxu-w xF|xHorvHxHorq?v No ztsvYoMxu-w W|vF}No NxHu zt|xHxHrzd

%

!

!

!

Neural Network - Learning Bayesian Networks

Overview

More details

Related Documents

Neural Network - Learning Bayesian Networks

Machine Learning-learning And Neural Networks-iii

Neural Networks

Neural Networks

Machine Learning-learning And Neural Networks-ii

Machine Learning-learning And Neural Networks-i