!"#$%&'("#)*",+-'"/.1023546'"879:
;=<?>A@,BDCFE3GIHKJ?HLJ?HMNOAP1QR@BTSUE3VO-WKWK@,J1X
YZ([]\_^`1a
b5cedUf,g,hjilkmonqprilsAnqi Y ilf ` khjdUilsoh
t cvuriws2x ` hjprces ` u3b5ilsohiwkyKcvk6b5cvdzf,uril{2m?|}~hjild2}
k ` sAoilp}Ispr?ilk}~prh|
` uh ` d [
lKK/ 5le
vl¡¢j jl£
U¤ ¥'¦§1P1@,Jv§
¨A«l¼©ª,ÀK±«q½¬qÀ®²¬¼jª
¸5r¯±Áª
¹º°j½6±²¹ºª
½ÂA³´o©¾¹ºµ/»K©6¶v·À±~¼¸3®ª,À¬q¹º®,²qÃIª»
À©¼·jª3½¾»¹º¼¿
ªª
²°¼±Äº¬®,Àr±¹º¼j½R½Å¹º¸R¼~¯Æ
±~¼½qÇq²2¬®É/Àoı¹Ê?²lË5±«ÌÀrÍj¹º°jÍ~ªAζLÇlÏ!ª
©wÐ-±Áª
°°j¹ºª
¼jAÀ©±~½qªKĺ²'ª
®«®
Ë'¼jÀÀª©±~ªÑ½'«lÇl¼jª
À©wª
±
½°Àr¹º¹Ò¼±ÁAij¼~È(ƹÄÀĺ©qª
ª
·²¾±Äºª¸3®ª-¹º½Ñ¹º®A»
ÄÒ¼±~ª·°ªK¼~ĺĺìqÀr¬q¹º¼½½w±~ª±
Ã&Ĺº¿
®rª
¹º²¸'²¬¬qÄÒ±~ªÀr¹ºÀ¼¼'½Ó¸3Kª
±ÁÀ¹º®©qª¼²Å²¼ÇĺÃѼ·~´o¹º»ÁµÕ±ÁÄÔÖ©°¬ª
rr¯¯
®r̹ºÍj¼Ú½qÛ®A¶Ü¼~±~ÆoÀª5©qª×»Lĺ¼·®±ª¸3²¾ª¯ª
À½q©w²±~ªÀ,²©w˱
Â-°©ª¹Äº¼ªI«qÀr¼¹ºÀ¸5©q±
ª
Ä?R®ÆÝ¼~¼Äº¬q¸'Àr¹º¬¾¼ÄÒ½q±®3Àr¹º¼³ÙØr½q®K®±j±~±»
®
ª Ë
ÄÒ¼±~±~«wÇ»K¹±~à6ÄÞ¹ºÀr¬q¼~Ã3ªÆ=À±¼AÂ,»K¹ºrÀ©l¹º©ß·j±¼K±~¼ª
»
®¬qÀ«lª®5ª
r¹º»
¸3¿
À5ª×ª
ÀÀÇl¼6rª¹º»©lÀ±
©q¼~°ªLÆá¹º¹º¼±
·®Ëjª
¼~¹º½½Rĺ¬qÀ3ÀÀr¬qÇw¹º¼ª
½Ó½©lËj±
®¼°«lǹº¼j±ÆÙ
»
¬qÏ,ª®Ë/»¨A±~ÆÝ©¾À¼ª¹º3®'®?À»
¹º©q½¾¼~ª ¯¯
ª
¼~°Æã¼´/嬵6Àr¹ºÀ¼j©w½l±~±ÀAñ
Ê1²q¼Ã½l²q±®á¸R±R¹º»
r®
¹º·Ïw¼j⼪á¬q«®-¸Üª
®ªª±~½®ÀA¬q±!ª½q¼~ª
ÆãÂѱ~ÆÙ·¼ª½¸'À,¬¾ÇlÄÒª
±©wÀr¹º±
¼°½ ¯
¹ºÀ¼©äªA±~ÀÂ,½q²Å¼~¯²®Ã¹º¸3®Àª
ª
½q¸9®r¹º¼²½wñÁ½wÄo±~«¸'ÄÒ±~¹º½q»
®
ªÏ×À¨A¼©qÀ©ªIªA·¼±½q¸3ªL¯ª²¹º¹º¸3®ª
¸3½q¼®r¹º°j¼ª
½1²Å±
ÄoÆÙǾ¼¹º¸ Àr¯
®ÀÀ©lr±¹º½Àv·qÀ©qÔª,±~«qÀ'¬ª±~®»K¬q©Ñª
?Àr¸'¹º¸3¬ª®À?®®rÀ¹ºª
¸'«1Ë?¬¾ÄºÀÀK©q±ª½ªª
¼°j¬q±®r²Ä¢ª
Ã3Ü«q·ª
ª
½q²¹ºª
»
KÀ
±~ÏÀå/ª®5ª
»±±¬Ç®¹ºª À
¹ºÇl±~½¾·jª
ÆÝª
©w¼½±
À'¸5°¹º±~¼±»
×ÀrÀr¹º¼¹º¹º°®×½I¹ºªÀÀÃæ©qÏo«ª
缪
¬q®Ã5®Àª©qÀ²6¼'ª
±«Ë?®×À¼±3©°¹º¹ºÀr®²q¹º¸3ª°ª
ªÞ¬l®r®¹º±ª¼jr½½è¹ºÀrª
¹º®
ÀK¼Ë1±~ÆáÀrÂ,¹º´o°ªµéª»±~±¼j½w½I«l±Áª
ª
ĺ½qø3®R®r¹º«®°Äº¼~¹º¼~®rà ¯Æ
ÀKª
±~°j®o±~®r¼¹º½¼j½(À¼ÇwÀª
©q©lªA±
»
°¼¹º¼j¸3
Ël¸'«q¬q½¾¼~¹º°»¹º±²Àr¹º¹º½q°·5ª±~»
½3¼j¸3¼j«l«lª
¼j½½¯ª
ª
½½ÀA²q¼ª
Æ1²«®¬qª
r®¹Ò±Á¬Ä1¹ºÀ×»¼±¸R½² ¯
¸RÀr¹º¼¬q½w½¶L¹ºÏo»±~ê,Àr¹ºª
¼j®½¬®'ĺÀ®3»L©w®±~©½q¼½qÂëªLÄÀ±~©l½q±²IÀR®±¬q½IǼÀrĺ«lªª
½I»L©w±~½q¼·rĺª²6®R³ÙÀ°¼I¹Ò±3¼j¬»
¼'ª
·°j±¼~¸3ĺ¬ª¯
²±ÁÊ1ªÀªª
»
ÀA¸RÀ¹º©½qªªI°Â-¹Ò±©qǾª
¹ÄÀ¹Ò©qÀrê
R¼~¹ºÆÀ3±¹º®3¸3¼j®r«l¯Kª
±~½»
¯rªª½²q²qê
½l²1±ËA¸R±~¹º½q»
²Å®
Ï «q¼~ÆÝ¼¬q½²ÄºÃ
ì EIíwB-§1P1OQ'îRJv§1HKOAB
ï 1á£1KL£1ðñqlRòôóAõAöÕ÷wA¡¢AK÷£1j(K3v=¾ ¡¢vqøð
ll¾¡Ò èù
lñqúÒ£K¡¢q e¾Kû&L¡ÒI£úݾK¡¢q üòôýþ¡Òú¢ú¢¾ e
ÿ×úÒ¡ wö3l£1 1q3 1ú¢ûÑKÑ¡¢L5£11¡ £1¡¢ûÑ¡¢ ß vK£K /1£1
ú¢K&vj¾£1KÅ¡¢I1Kñl¡Ùl6ÅeLK¡¢ 1¡¢q£1 oûvá~ù£1ú
ù¾×q 2ù¡¢ lñqLK¡¢÷w¾K¡¢q /K1£1K&q1L¡Òñ&e~eñl¡Ò
qv lð elj
lñqú¢£1K¡¢ A e q1¾1K¡¢ñq~úÒû&£ 11Kl¡Ù
¾1ú¢
q
ãevñw¡¢ú¢ú/ùôú¢ú,¡¢K1¡¢ Å¡¢K51£Kñl¡¢5 &vð
K¡Ù
£1úÙ ,K1ÅóAõ]÷w¡¢eú¢¡¢ñjUK&v6K¡ÙL2 1£1÷qUL
K£11vqLL1~ñqqú¢£1L¡¢q &ù'Lq1¡ÒLK¡Ù¾Kjée
1L¡¢q A
lð
KKú á vÓKjl¡Ù
L¡¢ñqß¾1¡¢úÒ¡¢û /¡Ò K¡¢÷qlI÷w¾¡¢ 1jülûz~ñqqú¢ñl¡¢ 1÷
÷q~ wL/ùq,K÷w,û'¡¢eq
,l¡¢
¡¢1ú¢¡¢ 1,¡¢ K1×1¡¢qú¢q÷¾ð
¡Ý~úá¾ eÅKqú¢q÷¡Ý~úá
I£1 ¡ÒL¡¢j ñKL1ú¢K AL1óAõ
÷wAú¢KR1KL lK×L11lqú¢÷q¡Ùúl£1
lú¢,Ke¾,1¡¢÷q1ú¢¡¢÷ql
"!
#
KqK
q¡¢ 1÷qI¡¢ UK1èK¾KѾù5K1ß¾KI¾ù(Áw~ñqqú¢£1L¡¢q e¾Kû
K¡¢I£1úÙ¾K¡¢q ¡¢KLú ù 1¡¢úÒ/K,ù1KK×l£1lú¢/eñq×l¡¢¡¢ lð
¡¢K1 K? 1¾1ú¢û'K
×òôÿ×ú¢¡ ä v5ý6¡¢ú¢úÒ~
ö ,¾ lûßK1L6K6¡¢ &Ke¾l6 eUèqLú¢£e
¡Ù
£1 e KL vl¡¢ 1÷IùA
lñqúÒ£K¡¢q e¾Kûú¢jL 1¡¢ 1÷e Rû¡¢KL£1¡¢ lð
ñqú¢ñq,K1×
q e ¡ÒL¡¢q 1/Ke¾?¡Ò KK¡¢÷lK
q lKK15
lK¾Kû
5òý 1öRò ' 1÷
ð
ú¢¡¢ 1¾ eÓó/qú¢úÙq
oó/qú¢úÙq Å=¾ú qö o 1~¡ÒL1I¾ù
1¡ÙLÑK3×ú¢úo£1 vlKLKl1?
&ÜvqL¡¢'KvK5Ke¾K¡Ùú¢ú¢ûðôK¡¢ lKóAõU÷l'1L¡Ò ÷q
ú¢jL5KKÑl¡
£1ú¢L¡Ò~5KßÁw~ñqqú¢£1L¡¢q e¾KûÅKLj
K/ jö
KÜúÙ I¾ùÕI¾ 1q ¡Ý~úùqL 1¡ÙKú¢jqlL öAL1 £1øð
K¡¢ 5ùee~ lðô~ eljl K w¾ e qö/L1áúÙ RùÖ!K¡¢÷qK£1oð
K¡ÙRù¾÷q lveñl¡¢q /¡¢KL lKK5 ¡¢L lû5ñKL¡¢q 1¾ù
K=óAõþ÷wq ï 1AKú¢¡¢L?ùKI£1úÙL¡¢q 1/ò
qqÁ qö?¾K
÷w¾×ù,e~ùjÁ'¡¢ lùK¾K¡¢q 1L3q1L¡Ò6ú1£1KL£1¡¢' e
ñq¾K¡¢q ILK¾K÷¡¢Aùrqú¢ú¢z vú¢ûlK¡Ùú¢ú¢ûRùK¾÷q lá¾e¡Òú ð
¡¢K¡¢ÖýþqKK
l5×q ÅLK5óAõ ¡Ò lLI£1Kú¢ûß ¡Ò
K~K
1 lð l¡¢ 16L¡Ý Kj
K¡¢ñq÷lò R
ûl 1úÝ
lö o¡¢ lK'R
q lK¡¢ l£1£1o÷l/ù ~KL lK¡Ùú¢ú¢û ¡¢vùrj
¡¢ lùK¾K¡¢q 6Le5¡¢ eÁqKvq
L6×ðKl¡¢ K¡¢q e¾úo1lûlK¡ ð
¾ú1lú,òôÿ×ú¢¡ ¾ eÑý6¡¢ú¢ú¢ ö ù' e¾1ú¢q l
q e
KKIl¡ Ö~K eÁ3¡Ò ÷w¾×ùKI£1úÙL¡¢q ¡ÒeqÁAK13 e¾K£1L
ùAL1Lqú¢£1L¡Ò Leq
?1LóAõüùKI£1úÙ¾K¡¢q 1-eñq51K¡ ð
¾ú,Kqú¢£1L¡¢q 1 ?K1÷w¾5¡¢
ú¢Kjð e jU e ãK1L
ùK
¾K÷qK¡Ù¾ú¢úÒûRú¢K/¡Ò lLKLK¡¢ 1÷RKe¾ 3qv lð e j q¾¡¢ o
£1KL1 /KKI1K¡¢¾úoLqú¢£1K¡¢ 1ܾKI 1Áqvú¢ú¢¡¢ 1÷I lð
1ú¢3ù'ñqú¢ñq&
q1ú¢ 1¡Òû ?ùKI£1úÙ¾K¡¢q 61Llð
K¡¢6ú?1£1LK£1¡¢R¡Ò' e 1jèK¡¢1ú¢ûIwû6Ljq
L¡¢ñqú¢û6ñl¡¢ 1÷l¡ ð
K
Kú¢ûL=¾l×KÜ~ñqql' w~á 1á~ñq 6K q£¡ÒL3K131£1øð
K£5K1qúÙK
Lq ï 1¡¢ e v e e¾úÒú¢û 1÷ lÜveñl¡¢qR¡¢ óAõé¡Ò×
£1KL lKú¢ûl
K¡¢vj e
ú¢£1K¡¢ñú¢û¡¢ IK£ j
L¡Òñ £eú ð
¡¢¾K¡¢ñqLK lRòôÿ×ú¢¡ þ vIý6¡¢úÒú¢ qö,vq¡¢ lAq£ K1L
llA q,ûq- 1¡ÒLA £e¾ lK¡¢¾K¡¢ñq e
L¡Ò eúljL£1K×lû
1¡ÙL6q 15¾ þLe¾
KL¡ ä¾ e £el÷5÷q~ w×veñl¡¢qj
ï 16wûlvqL1K¡ ÓvqL lK¡Ùú×ù'L1ó-õ ÷l¡¢Kl£1
úÙL÷qú¢û£1 1Ljú¢¡ j £1ëL L12qv £1 1~KUùßL1ël¾ð
¾¡¢ ù
lñqú¢£1K¡¢ eLûälûl e¾¡Ù
q eK1~¡Òס¢ lK
q
L¡Ò ×1LK lKÁùqLI£1úÙK¡¢ Ñù'L11£KK£ðñqq I÷w¾
Kv1ú¢1
úÙ¾K¡ ùû&ú¢úAKKq ¡Ò1ú¢û áIñqK16L e
%$
"
&')(*%+,-/.01
23 %
54
61
708:9;9<=
%7?>@18>
5"7-'
9A1,&>B,CD8(>E)E8>
"!
GFF
IH
DJ2K ,
$
L
M
N
-O
Q
SR
P
8T
A
52U3
:
:4
2 %
V GOW!YX
5
"U %
T
F
Z
2!
R
"
T
T
"!
[
Z
\[
5
T
!
]
T
^2U
&
;V
6]
;V
;V
F
!
S
ùä
K¡¢q ùLqL1Åá¾ðøl¡¢ 1K¡¢ eúR1úÙ 1ÅKUKß 1
ð
l¡¢ 1L¡¢q e¾úw¡ÒLKLK¡¢ 1÷ l×jKK¡¢LK lK1Rñqql~á÷ lð
¾KI61¡¢ e¾KûÅKûlIeúAKv5L11£KK£II£1K3L¡ÒI£úÒ
ð
1q£Kú¢û1Ljl¡Ù
5¾×úÙK 13K1£1¾ e6L¡ÒKL1j
ú¢ú¢û¾ùá
qLKj
(÷q£1LK(¡ÒR£1KÑLlL¡¢ñq1úÙûqL 1
qLj
j~£1LÜveñl¡¢qס¢á KLKjѾ=1¡¢ eLûIK¡¢×KL¡¢á
q'q ñq l¾÷q×ù?¡Ò ùqLL¡¢q 'L1KûK51Lñl¡Ý á1L
ð
¡¢K'Le
q
LK¡ j¾K¡¢q AùÖ¾÷q l,veñl¡¢qA e(ñqú¢£1K¡¢ eLû
1K÷qK~Kj
R¡¢vqL¾ wLú¢û vKLK¡¢ 1÷ÅK1ÑóAõ ÷wI¡¢ &K1¡¢=û
qv 1ñl¡¢K¾q lKK
5
vq 1 lA¾ù1£ð
K£1¡¢¾ e ñqL¡Ò 2veñl¡¢qj !j
lÑ×q zlû ò R¡?ó,qú¢
qö-¾¡ÒLÜ
q v
K ÅKvI£eLLKL& þÁqI£ 1¡ ð
L¡Ò Áq Ö¾Kù£1 e
L¡¢q e¾ú£K¡¢ú¢¡Òû6¡¢KÅqv
K¡¢ eúAKð
KKá£1L¡¢úÒ¡¢ûRùÖ
I£1 ¡Ý~K¡¢ñ/evñw¡¢oûRñqLû3áú¢ú
eÑLeI¡¢
lùL11L¡¢ñq 1~K ×û
I£1 ¡Ò¾K¡¢q ÅK
l e 1ùô¡¢ú¢×£1KLKú¢ûLl
K¡¢vL15veñl¡¢qסÒLKú ù ¡Òð
¡ÒúÙ¾Kú¢û ãK1ß 1q
L¡Òñù£1 e
L¡¢q Ó¾ù ¡¢ lùrqK6L¡ºq ?¡¢¾ùK
q ?KÅ¡ÒLÑKI1K1
LLe3÷ 1
K~¡¢j Åq£15óAõ
÷w3á¾ Le¾
KL¡ 1£KK£¡Ò eèñqL¡¢q Åevñw¡¢
q£1LK¡ÙlѾùÜKß
q lL 1¾ùÜLú¢j
K¡¢ñ lñq l¾÷qq £1LK1
á5e~L¡¢q e¾úÒ¡ (K1e~eñl¡ÒK3 e6£ 1¡ ùûL1 qK¡¢ ¾ù
¡Ò ùqLL¡¢q ¡¢K3KáLKK£v
K£1Lù1veñl¡¢qjõ ?j
K¡¢ñá1£ð
K£1¡¢oL £1¡¢K,veñl¡¢q
úwÁwl¡¢ e¾K¡¢q 3¡¢K(K1×ñqq jõ/ùÙð
ùj
L¡Òñá
lq
l¡¢ eL¡¢q 'L £1¡¢K,L1A¡¢ el£eÁK¡¢q 3ù1L1Añql
evñw¡¢úo ûw v¡Ù
×lûL151£1LK£1~j ï 1¡¢1L1
K3¾ùÕ¡¢ lð
l£e
L¡Ò 6K1LK~ wL3q£1 1K¡¢q ùá
I£1 1¡¢L¡¢q o
!ñqLK1~úÒ~K
I£1 1¡Ù¾K¡¢q lñw¡¢£1Kú¢û eÁqIð
eLK3I£eL1Klql×¾ 1÷qRù?11 q~ e3Kv I1£1LK£1¡¢
eÅñq¾K¡¢q 1LK lLúÒû&LlÑ1KlqÅLßv¾1K£Kjé lð
K¡¢Kú¢û¡ÒL1¡¢ ßK¡¢ 1÷ú¢5 1e~K¡¢ l
ú?ùr×q ?
lLK
1 1qIû¡¢÷ql'l¡¢ñl¡ÙlI£vKèKLj
KULðK1L¡¢ lK6×
úÙKLj
,KûlKLA v
-LûwLKjqõ wð
úÒ~5ù3K16ùrqK5¡¢ e
ú¢£e ×q ÓLe(ù1
£1L z~ð
úÒ¡¢L1¡¢ 1÷äÁqq
lñq lK¡¢ 1'¾ùáe~eñl¡Òj &ò &L 1
e Rûq jö ù~ú¢á¾ e(ú¢á¾÷q lLÕÁq lñqL÷q wL5
K¡¢÷q e¾ú¢¡Ò ÷
q lñq~ wL¡¢q ÅKe¾'ùq
¡¢ú¢¡¢L'L1L £e
K¡¢ ooõAK
£1KL¾ e
5¡¢-ùjùKù6ú¢×KI¾ú¢áñl¡Ù(KK
ð1¡¢'vð
ú¢ú¢úoLe 1 ú e¡¢ ÑL15qK'1K¡¢ñq3e¾¡ÒL vK5£1KL¾ e
1K1l£eÁjüwûÓ KL¡¢÷qlKj ß1£LL¡¢q e¾KûÅù6ú¢ o~£1L
K1 L1ú¢¡¢ e I¾ú¢ÜLñq'¡¢ Ñ 15¾ùùrq£13l¡¢Kj
L¡¢q 13K£vK
Ke¾¡Òl
1jL'LIK1ù¾ú¢q
RK'×q 1£1¡¢úÙlKú ùÙðqL÷w¾ 1¡ ¡¢ 1÷LûlKK~#Le'
lð
ñqL÷qq lKÑÑÁq lñq lL¡Ò ß¾ù'á1¾j¾ 1¡¢ 1÷¾KL Á¡Ý¾K¡¢q
ò lLú¢ qö ï 1Å£1 1¡¢ñKLß¾ùäl¡¢
£1KL&¡¢L1ÅKѾù
÷q~ wL'L1Lú¢ñq vjqLÅùá1¡ÙLÑ¡¢'£ 1¡ q£ú¢ûþ e 1jÅlû
e 1¡¢LIK3ù 1¡¢ 1÷ 1RùjL£1Kñqú¢£1e¾¡ÒLj?õ 1vK¡ ð
lK×lÁK¡¢e6eñqRq K13q
l¾ùoá lû¾÷q lK eñq
j¾ 1¡¢ 1÷q ¾ e eñq×q
lj ï 1'÷ lKA£1¡¢úÝ(ú¢ 1¡Ù
q 1,Le
KL1
¡ÙK×K e ¡ÒLAK~Aù1×q L'L1AùrjL£1Kj¾ñqú¢£1×e¡¢L
eÅ£1L6á&÷K£11KÅK¡¢÷q 1¡ ùûèeLK¡Ù
£1úÙI÷ lK ï 1¡¢
lq6¡¢ ß¡¢I
úÙ¡¢ÑLßv6qv Ó¡¢ ÓL16K K6Ke¾I¡¢ KL¡¢¡¢úÙK× 1 1¡¢ 1÷'ò ùjL£1K~'q×ñqú¢£1~ö v÷ lK
ܾ lûK¡¢ 1ñ ßùK5
q lñq~ wL¡¢q 6e3K÷j? ñð
KL1ú¢K oL1K6 lK¡Ù5¾ eß 1q
L¡Òñ5¾KL¡Ùúo£KjÅL
^!
_
^`
H
a
8T
b
;V
H
S
c1
7P7d+59A19<
MX
:e
2K
5f
[
F
S
Yg
_a
5f
;V
T
R
;V
_
#
a
ih
Wj
lk
T
5H
T
1
<%Em
,5
n17o9;9<)
pT
W
de
!
qh
Gh
rj
5j
s
:F
A$
2 ,
;V
2K
d[
[
_T
2[
t[
T
[
#
LúÒ¡¢L I
I£1 ¡Ý~K¡¢ñ'
q lñq~ wL¡¢q Ñ¡¢'L£111ú¢¡¢j6 Lð
e¾úÒú¢ûÅùLqK1èKûlKL - 1q
LjLj wûü¡¢ A lûU
q lñq~ lð
K¡¢ IKe¾áK÷סÒ-Lú¢û5L ejÁK¡¢q ù31L
ð 1¡ÒLK¡¢ 1÷
e¾ eð1£1¡¢ú¢á×qLúÝã
K'K
q e6¾K÷qLû¾ùoK1R 1 1qIû áeñ'Lûwøð
K~×Ke¾á
L1
wñ lK¡¢q 1
qeL¡¢K¡¢ñq÷l~áL
ð
K¡¢÷ 1jIL51LqK×ñq~á¡¢ e
LjL¡¢ 1÷
q1ú¢ 1¡¢û K'1L
ð
¡¢K6j 1¡¢ 1÷6¾ù'1¡ÙKü¡¢¡¢ 1ñl¡¢¾1ú¢ûßl¡¢ lðKlv e lj
R 1÷w3ùA¡¢¡¢¾K¡¢q 6 l3÷q~ wL3K1K~KñqI qK
veñl¡¢qùrqKRK¡¢5 vL1 ÑL1L £e
Ke¾'veñð
¡¢qò 3¾ 1 q6 e l£ ~£ l¡ lö K1I1KLñqL¡Ò ß vÑL
ð
1L £e
K¡¢ ë1vK~¾ùKß÷l6úÙL & v éK¡¢
KL1 eLKvj
L¡¢ñqú¢ûl '÷ lK'¾K5
lñqú¢ñqjKvj
q'vð
K~¡¢¡¢
KK'¾ eÑqLäl¡
£úÒRKÑ¡¢¡Ò
Lq ï 1£1÷qÅv
ð
eñl¡¢qll6vj
ÑqK6
q1ú¢ ,K1Å1L¡Ò6LûÓ£1L
ù
1ú¢ 1¡¢ûÅúÒ¡ ú¢û l~K¡¢ñqùK ¡¢ el£eÁK¡¢ñq61¡Ù¡¢ ÓL1
K£1KLLq5÷ lÑveñl¡¢q6¡¢Lûl 1q lûl£16¡ÒLëL1&ú¢ð
÷q¡¢LK¡Ù3¾o ï 1~ñqqú¢£1L¡¢q e¾Kûú¢÷qK¡¢L1 vùKÜq
ð
l¡¢~ 1K¡¢q vúqLj
LI¡Ò KáLeq
RùeL1ú¢q÷¡ÒLK¡Ù,6 o
lð
K
l /1¡ÙL& lK¡¢K~úÒûÓ KL¡¢ 1÷q~ w(evñw¡¢j 21¡¢ú¢
K¡Ò×KûlLK Lñqú¢ávAL1Ü11L¡¢ñqqlñq¾ w
÷Aùoñq¾ð
¡¢q£1,veñl¡¢qLÕ¾KqÁq ¡Ò ÷ÜL3K1×K£1ú¢-ùeL1÷w¾ L1
K£1KLL3¡Ò-K5¡¢vñq~K¡¢K15LeáÁqúÒ ¡¢û3ù?veñl¡¢q
vjL' 1j¾ 1¡¢ 1÷ùr£1ú1K~úݾK¡¢q K1¡¢L÷ l=
1ú¢ 1¡¢ûq
ñqú¢£1K¡¢ eLûIKj¾Lo
e¾¾1ú¢IK¡¢K£e¾K¡¢q &¡¢(ùq£ eÅ¡¢ z6LûwLK1L
÷q
L ñqú¢ñq K_ÁúÒ¡¢IK1 ÿ×1q lû1¡¢¾Llû
KKq£÷q 2
vK¡¢L¡Òñß÷lÑùIKLK¡¢ 1÷2÷ 1
K¡¢ e
e¾KK¡¢ 1÷éò '¾K1¡¢qKѾ e q÷l¡ ö ï K£1KLL
¡¢ UK1¡¢~KÅ
q 1L¡¢KKù5 11ú¢¡Ù
¡¢I1K1l£v
K¡¢q UL£1ú¢ ×1×ð
ñ '¾ eüK1ÅI£1
K¡¢ Óqv
KKÑú¢ú¢ L1ßLûlKK~ K
K
ñqLK6KI1¡¢¾Llû&jL¡Òú¢ûl elj ,K16
q1ú¢ 1¡Òû6¾ù
Kßñqú¢ñqÓ÷¾¾K5¡¢I 1l~KL¡¢ 1jUlûüq1LKñl¡¢ 1÷
÷ lK e~eñl¡ÒK×ò×q
5ú¢ ÷qK(¡Ò,ú¢¡¢¡¢K'L'L¡ KûlIeú¢ö
1£1×¾K1~wûIú¢l l¡¢ 1÷5l¡¢K
Kú¢û K£ el×K131l1 ¾áL1¡¢
1L £e
K¡¢ ÑK£1ú¢
ï 1ßvñq e1ú¢ä¾K6I1ú¢6L¡Ý(ù5¡¢KL£1
Ið
IKI5÷Kj¾'lj¾ú?ù×q Iq 6
qI£1 1¡ÙL¡¢ eú¢ûÖ
váøù£1úK1LK~ w
L¡Ò 1 ¾K¾ú¢úºð~ú¢
I£1 ¡Ý~K¡¢ñoòre
ð
eñl¡¢q
úÙöAqÁK Le 1ú¢ 1¾ eI I×qKúÙ? '¡¢×j
6 2 vL¡Ò l¡¢ 2
qI£1 1¡Ù¾K¡¢q ãq£11l¡ ejUóAõ
÷w¾5Kñl¡Ùl öܾ ße~ lðô~ eljÅLK¡Ùú×
qI£1 1¡ÙL¡¢q 1
Le 1úò 3L÷qKûëý& 1¾£1 elL qö ×1¡ÙL ú¢jq
K qöL£11K
lK¡Ù¾úÜ
I£1 1¡Ù¾K¡¢ñq
K e qöI¾ 2qv ×qKúÙ òñl¡ÙU
lñqúÒ£K¡¢q eö~ ï l ס¢ lùqL¾K¡¢q üK1Kû 1K¾ð
ñl¡ÙlÜK¡¢÷qK£1ܾ e6q
~1KjÅñ11£úݾKûùq3lÁK¡¢1¡¢ 1÷
K¡¢÷ eú/1KeLK¡¢ £1LK1 vK1K£1KK
L£1Lj6¡¢ 6q£1R lð
vK¡¢~ wL,¡Ò×K
£1KL l'LK¡ Ö
¡Ùúl 1~£1¾ú1 1×q ¾K1£1÷q
váøù£1ú ×K1ÅK£1KLL&¡¢ q lðKvj
¡ ÖÅLÓq£þ q¾¡¢ vÓLl£1 K×j ? /¡¢ eú¢ú¢û ol~
L¡ÒvjUvú¢ ,×L
KÅ1L¡Ý ÷qL16÷w¾&e×
q lñq~K÷q~ wI vÓ
vK¡¢K¡¢ñ
KûlLK' e 11ú¢qL3K15L 1L¡Ò 6Kl£1'
LjLj?
L£1ú¢KoL1Åq£1,lq6¡¢ Kvá 3 ?j
L¡¢ñq×¡Ò KKL£1~ w
ù&KLj
K ¡Ò
lñqú¢£1L¡Ò R1£1KL£1øðôñql2lûl e¾¡Ù
v2
qI£1 1¡Ù¾K¡¢ o R£16~K11lúÒ÷qûÅ¡¢I1£1¡¢ú¢K£1 e
8T
N
!
f
T
T
5
_!
Nh
s
T
S j
:4
%
a
lF V : %!
nO233
uQO
H
L
T
T
;
a
_$
8T
T
H
:v
l
:U
T
Z
T
a
wT
xh
%
5j
T
2[WT
8T
6[WT
2y
[
z
:`
5F
2U %
{O
{Q
^
|R
T
[
xh
|!
[
jNR
5
%
T
X
s
K1¾ eú¢ûlK¡Ù¾úLlqú¢3q ñq¡¢úÙ1ú¢3lûÑ¡¢ lùK¾K¡¢q 6L1
ð
qKûl &ä¾K¾1ú¢Lß e¾ú¢û ~ä¾÷q lK(Ke¾Ü~ñqqú¢ñä¾ eÅ£1K
e ewðô1£¡Òú¢¾÷q lK6¾ù l 1 1¡¢ú¢¡¢ûÓKü¡¢ e£1 v
ß~ñqqú¢£lð
K¡¢q o û Le¾
KL¡ ¡¢ 1÷Ñ÷q~ 1¾K5e~eñl¡Ò v×K¾1ú¢
KI¡Ùl lK¡ ùûñqL¡Ý¾K¡¢q á¾ùÕL15÷lRKe¾ú¢jq6LIj ¡Ò1
L
K¾1ú¢
ðK¾Kql e 1Ñ1K¡¢¾úáLqú¢£1L¡Ò 1j ï KÑLK£úÒL
úÒqI£'KIñqL¡ÙK¡¢ IùAq£1×÷w¾RKe¾'ñqq¡Ùl×vqK/
ï 1¡¢3e¾e(¡Ò3K÷w¾ 1¡ j&¾'ùrqú¢ú¢j lj
L¡¢q 6l
¡¢ú¢
q£1IñKL¡Ò Uù5K1ÑóAõ*÷w eU
lK¾KL¡¢I¡¢KUK1
qL,Kl¡¢K¡¢q vúqLeL¡ÙúùrqKI£úݾK¡¢q lj
L¡Ò '
L¡¢e
K15Lj
£1LK l¾KL¡ ?
¡Ùú? 1£ú, 1~á L£11LK¾K£1KÑL
K1LK~ w£1á¾÷q lK q v¡Ò lLK1l£e
~AK1Rñqú¢£1K¡¢q vKû5¾úºð
÷qqL¡¢K1 l
K¡¢q 'l e 1A
e
1L/ùKë¡¢ lùK6K¡¢ áL1
ð
qKû(Ke¾A1Kñl¡Ùl×q£1-LK¡Ù,ùo÷ lAveñl¡¢qA e
lñð
úÒ£K¡¢q e¾Kû1Lq÷KL l
K¡¢q ×1úÙq
,L1K
e
1L,¡ÒL1¡¢ K1(ù¾×q ¾ù=
lñqú¢£1L¡Ò eLûÑKð
lj
L¡¢q e¾úÒû ~Aq£1-KL£1ú¢K j
K¡¢ 3L£16K¡ ~oq£á×q ä¾ e
e¡Ò lLK(ù£1K£Kl¡¢Lj
K¡¢ 1×ùq£1K~Kj¾Lo
E6C2@ < ;=<ã§ î
$
SV
t
5f
;V
b
8[
;V
"F
}O
!F
w[
PQ
l!F
6
8[
!F
d3
!"F
5V
!F
p
~
nK
xU
;V
¡¢ el£eÁ ùrKq q1LKñq¾K¡¢q ¾ùäveñl¡¢q 'ü1lú3¾ùäL1
ñql¡¢ lRKe3 ?j
L¡¢ñqq ï 1 q£vú¢¡¢ûIùoK51lú
¡¢lq 1LK
KÅK1Lq£1÷&K1I1£KK£ I1Ljl¡Ù
K¡¢ Ó1¡¢ú¢¡ ð
K¡¢ ï 1¡¢'÷w¾ lL1L
ùqL v1¡¢÷q1ú¢¡¢÷qlLK15 jèKIñqú¢ñq
v
~1K£e¾ú
1£L¡¢q e¾ú l v KqK I1¡¢ú¢¡¢K¡¢R¡Ò 6L1
1£1LK£1~j ï 'KLùA ?j
K¡¢ñÜLK
K~÷q¡¢'
el£e
Ljlû
KL¡¢I£1úÙKÑñqú¢£1L¡Ò &K
ñqLKè¡Ùl
1÷ù'L£eL
¡Òú¢¡¢K¡¢ 1Lw£ v1¡¢ú¢Ü£1'÷lÜ¡¢Rq jÁK¡¢ñqú¢û6q 5ù
èù3K1I1£KK£ ¡Ò3e¾3K1I1eKL£lð
1¡¢ûÓL l 1#L1Ññql 6q
L¡¢q 1 1£1KL£1Lþ¾KÑ q
1jÁK
K¡¢ú¢ûÓ~ el×j&Lß6 q£1L¾ù'K1¡¢ l 1ú¢jl÷q ?j
eL13÷w¾×jL¡Òú¢ûl¡¢K,L13eKK¡¢1¡¢ú¢¡¢û¾ù¡¢ lùK6ð
K¡¢ Üú¢K ú¢v¡¢?¡ÒL1¡¢ 3K1A~ñqqú¢£1L¡¢q e¾KûK£1KLLq 5
lð
K
L £1o÷l,¡¢o¡¢ lñqL¡Ù1ú¢ûq Aù
ùK13ñql q 1ú¢ûK1Lq£1÷Ñ
lñqúÒ£K¡¢q e¾Kûù~jle 6l
K5ñqq KRKj
~¡Òñ lûI¡¢ lùK6K¡¢ o
6
a
:
{h
j
!
]
18&9%%7Y9A
=,(
k
x
a
dk
d
p9/70%/1"9%
%7Y9A
!
r ¡ ¢ ¡ £¤J¥¦ §Z¨
®
o
úÒú¢£1LK
K5¡¢ /¡¢÷q£1L £1,eL¡Ý-óAõÑ÷lÕÁq 1L¡ÒLKA¾ùe×
÷q~ wL'LeR1úÙû¡¢ ßl¡¢ÁKLIK¡¢3 e6LeqÁq ï 1
&òrñqq ö¡¢ 2÷ lIKe¾e¾ú¢úÒ¡¢LK¡Ùú¢ú¢ûÅ1K1l£eÁÑ
1¡¢ eLûzL¡¢6KL¡¢ Le6¡¢ ס¢Ke~eñl¡Ò¡¢ KL¡¢ 1j
Kqú¢ú¢ûÑlûÅ¡¢K5 Å¡¢ wLK vúálûl e¾¡Ù
Ö¾5jK&L¡¢KK~
K1÷q 1~LqIL¡Ò1ú¢ûÑq£K1£1LÑ #¡Ò ï
ò1£1LK£1~ö(¡Ò Ó÷ l3Ke¾ /÷q¡¢ñq Å¡¢K5 Å¡¢ lKL eú×K
K
ú¢q 1÷¡¢LL1á÷ 1
Lq A£1K£1?ùLqL11K~ñw¡¢£1,K¡¢
KK~-¡Ò 1£1 ¾K¡¢I£1ú¢¾ 1q£Kú¢û3KK¡¢×K(1Kj ¡ÝÁáL1'÷ 1
ð
Kq Aq£1L1£1-ùq×KÜ
£1LK lL¡ÒáLK/eõAKI6
KIv
l£1¾K¡¢q (ùe 1AKq£1
e(K¡¢,LK1 ï l£1 £1,÷q 1~Lq
qLKLe el5Lþ K1ú¢¡¢ e Ke¾K¡Ùú,ñql Ö¾3¡ÒL3evñw¡¢
¡Ò- 1qA1l£1úÙLj5lûKe¾Aùo¡¢LAq1vq lj ï 1¡¢A1l¡ Öð
K¡¢q
úÙ1 (q 13K¡Ùl3¾ùKÜ£1KL£1¾ñqq 5lûl e¡Ý~ú
KûlKL ,¡¢ el~j KL¡Ò÷lKj &~ñqqlá£1úÙ&L¡Ò1ú¢û&eÅ
1÷w¾Kjè1£1LK£1~ $ ß¾÷q l'Le31Ljl¡Ù
L5¡¢K'1vq 1 l
¡Ò q
l'LIe~ùK K13qeK¡¢K5qÁK¡¢q o
ë1l¡¢K¡¢ ,q£1÷w¾ w~ ql v 1 ¾1K£K
1Kj ¡Ý~K ÷ lzvøùqL v
ë¡¢üj¾K£1Lj LKL¡ÝÁKú¢û ¡¢ KLA¾ùK' l£1IvAùÁqKLj
3 e¡Ò v
qLKj
Kjl¡Ù
L¡¢q 1
q v1¡ÙKÅ¡¢ vú¢q÷q£1RKÑjL£1K¡¢ 1÷K¡¢
ð¡¢ lðK
q l
e× Å1£1LK£1~Ü v6ñqq ñqRK1
q£1LKùAKe¾K¡Ùú
Lo ï l l×5l¡¢
ñ'Le el£ÜLI¡¢KÜ ¡Ò
K~K5veñð
¡Ò ?£15÷ 1
K
qLKLe elILß6e¾KK¡Ù
£úݾKú¢ûÑ 1¡¢I1ú¢
Ke¾K¡Ùú,ñql /5¡¢K5
£KK~ w Kú¢1L¡Ò ¡¢ Å 16=ûÑ
lð
KK
¡¢ 131LI¡¢Ü6ûvI¡¢ ÑK1I 1ÜL¡¢5LK ãáIeñ
vK35ñKûK£el¡¢ lLû l¡Ò ¾K¡Ù×1lú
R£1ñq¾K¡Ù l×÷wû5Ll£1'1vj¾ q£¡ÒLRùqL¡¢÷q o lð
lj ¡¢,KLI1ú¢,K1
Ü÷l RñKL¡Ò ¾ù
1¡ÙK(¡Ò?£Kj(¡¢ 1 lð1Kj ¡ÝÁK¡¢ñqáÁq lK 1,¡¢ 3e
K¡¢Lj1K
÷q 1Áðô6L1¡¢ 1÷(K¡¢I£1úÙL¡Ò 1Aò '¾¡¢ú¢Kq ú ö ñð
KL1ú¢K A×
lK eéKe¾£11l¡ Ö¾K¡¢q 15l¡¢LK¡¢ú¢úAK1
Kl¡¢K¡¢q vúó-õU÷w¾3K¡ÒL
-KL e
q/÷q¡¢ñ K£eLë¾ ¾÷q¡¢ú¢ñql AK&ò £e¾ú¢úÒûÓ¾÷q¡¢ú¢jö1£1LK£1~I£1L
G
06P""-)S-5"_
PR
0
P
\m
,^,(
!
z^'9A18E
a
© ª ¢ ¡« ¬§6¥8¦ §Z¨¯® °±
Àr繺ª
¹º¸3»
·ªK¬qª,¹º°®ª5ª
À®?ªÌ2«3À©q±å,ª/½±¼j²'®r¬¹º¼» À¬q«qÀ¬q«±~À?¬q¸Ü¼~ÀÆq®oª À±-¾©qªª/«qÀÇw¬ª
±Á«1²ÄÏĹº¹º»
A®ÀrÀr¹ºÀ?¹º¼»áª½Ü±~·¼~»Kª
Æ1©3½qÀª
Àr©qK¹º±~¸3ª/À·jªA¼jª
v®½qÀÆÙª
ª
K¼«1±~¸&ËjÀÀ¼jÀ© ©qª,®?ªo«qÇl«ªª
©lª
²°±
¹º»
¹º°¼jÀ¹º¬¼¼®
ÆÙ¼j-À©qª»
¬qª
½À×Àr¹º¸Üª®Àª
«Ï
M²
³
´
µ
a
h
5j
[
h
j
N!
"
h
5j
6k
[
h
%j
2!
^
h
j
T
!
Y
s
0
"
M,d7-)E18S9rm
5
2
T
v
;2
[
P9,%7Y9A
^C
5#
ï 2Kûl lKK¡ U
q lñq~K÷q~ w& v
qeL¡¢K¡¢ñqÅKûlKLlûð
e¾¡Ù
,×Ñ¡¢ lKL £e
ßÅL1¡¢ü1úÙûq¡¢ wLߣ1÷l
ùrK¡¢ elú¢û 51Ljl¡Ù
Lqj &3¡Ò6÷¡Ò áL13ñqql~K'Lv5¡¢ lð
l¡¢ñl¡Ùl£eú¢5ú¢¡¢K~ú¢ú¢ûÅ£1 elÁq 1L lI1Lj1¾K¡¢q ü1ßI£K
KK
ùrqK e6L'1¡¢ú¢ Kq K1(K£1 o £1 K136KRI£1K
vÓ1ú¢ÑL £1 ¡ÒLëL1Åñqql~j ï 1
÷w 12
q K¡¢KLùoq 'e¾úÒú¢¡¢KL¡ÙA÷ 1
KKe¾áøð
K~1L5K6veñqI¡¢ &6¾ 1 1RKe¾5¡¢5vqKÅ1Ljl¡Ù
¾1ú¢
KKÜvKL 13ò ùK¡¢ e úÒûIKjl¡Ù
Lq
ö 1Lä¾ú¢úÒU6K¡¢ 1÷ e
K¡¢I£1ú¢
1£1Kú¢ûR£1 11Ljl¡Ù
¾1ú¢KRK11£KK£òqKL¡¢úÒ×1L
ð
l¡Ù
Lqö 1Lú¢ú¢z~ñqK¡¢ o
ï 1¡¢1l¡ Ö¾K¡¢q KIL13÷w¡¢Aùô¾×ùK 1L¡Ù
¡¢q£1
ó,Ljl¡Ù
K¡¢ ¡¢á¡¢ lKL¡¢ 1K¡Ù¾úÒú¢û5qL'l¡
£1ú¢AKv I÷q~ 1¾K¡¢q ¡ ùá×vú¢¡¢ñqK1IýÑK¡Ò ?j¾K 1¡¢ 1÷61qK¡¢LTKe¾ Lûq£
¾ 1ú¢ûIú¢jL vûq£¾úÒqLáú¢Kqlû w (K1 èá
I£1Lv'¡¢ eù£1úKe¾A÷q~ 1¾KKס¢÷qlovj
Lw5
Ið
1ú¢ 3ùo1Ljl¡Ù
KKAL'ú¢j¾K ¾÷w¡¢ 1L ~1Kj l¡Ò ÷'Ká
lñqú¢£lð
K¡¢ eLûßL'
q
&KK ?÷q ¾KqL5¡¢÷wRe
q¡¢ lð
1L lKú¢û2£1 1Kj ¡ÝÁúÒ ï 1èùK¡¢ e úÒûUe¾KL 16KLñqèK
1¾v ¾ lûÑK£eL&L el v
û&lû6ùq
¡¢ 1÷6÷q ¾KqL5K6v
1Ljl¡Ù
¾1ú¢3K5Lq~q 1q K~K-ù
I£1 1¡¢L¡¢q ~K1¡¢
L¾ 1÷q l¾ Óvñl¡¢×jÓ¾Å
qeL¡¢K¡¢ñq÷w¾Iv
ð
× ÓL1×ß¾÷q l5vq1£úݾK¡¢q òr÷q ¾KqL eÅvKøð
1Lö(KLûw¡¢ 1÷èKÑñqú¢ñqI61Lq1L¡¢¾KûÅevñw¡¢ú×
q lñq~ lð
¶¯·pP"Z
n-)S-5"_
;V
Yk
lh
5j
W$
2
¸h
j
b
¹
IS8(^C;,
º»
%
,
[
L
_!
P¼
nh
\
T
$
j
2
K¡¢q ¾ eK1L1¡¢I¾÷q lAvq1£úݾK¡¢q ò1£1LK£1~Kö×LKûl¡¢ 1÷5L
K1
q lñq~ wL¡¢q o
qjqLU÷q~ 1¾K¡¢q U¾ùÜñqú¢£1K¡¢ ¾ú¢úá÷ 1
KK6K
1úÙûqj÷l¡¢ 1KA¾úÒúeLK 1 v1£1KL£1×1Kl¡Ù
KKj
qL
q
LqKѾúÒú÷lLßñq
÷jUKUlL¡Òñ eL 1K6ñq¾úÒ£j
5
K!ùqú¢úo÷ lK
1÷'vá~ ø ï 13 lð
q
/ùKI£1úÙ?£Kj(ù,
K¡¢ 1÷31Kl¡Ù
KKKl¡¢Á£1KLjIv
ð
úÒ&¡¢ 5L1× 1eL¡¢ lAl
K¡¢1L¡Ò 1j z÷ 1
Lq A
qL¡¢
q1£1Klû6K£1K
q
L¡Ò ÷Käñ¾÷q5
qLjÑlû¡ÒL'1£ð
K£1LùK9L1ñ¾÷q
qLj&lûÅ¡¢KeLK 1Lä¾ e& qð
ú¢¡ ¡¢ 1÷3K5KL£1ú¢'Lùôú¢úv¡ÒL1¡¢ 6K15
1÷ lñqú¢£1~
vñq 5Lw£¡Ò vl¡ÙLÜLe'(÷q~ 1¾K'¡¢'1ú¢RKI q
¡ÒLKú ù,qL'1Ljl¡Ù
1ú¢5LIeLK 1L'Le 61£1LK£1~Kj
E6;=îR¥'¦§1P1@/§1<@BRQ >áOAWKî!§1HKOABR@P *¤UW AOAP1Hø§
'£F¾÷q l K£11LK
K¡¢ë¾ 9 1v e
9ñKL¡¢q 9¾ùÓK1
l¡¢
LK
ðK¡¢ lLK¡¢ 1¡¢KK¡Ù Lj
£1LK l LK¡ Ö
¡Ù¾ú £1¾ú
1×q £1Kj ¡¢ K1
KûlKL ò R 1÷qú¢¡¢ 1Åú
wö 'L1U 1×q ] 1e¾ e
lÓ
q K¡¢KLÓùÑ2LÓ¾ù
1¡¢ 1á UK¾ 1ùrAùr£1 e
L¡Ò 1
òL¡Ò÷¡Ý(11ú¢¡¢jL51K1l£v
ö
òLK£1 vL£1KL¡Ý 5¾ 1÷q ð ö
(òrKL£1 e¾Kq£1LK¡Ùl3¾ 1÷q ð ö l¡¢ Ñqð
l¡¢K¡¢q IL5K13Lq ¡ÒL¡¢q e¾ú1K¡¢÷qq¡ÙRù£ e
K¡¢ o ï K3K£11ú¢
ð
l¾KûK¾ 1ùrRù£1 e
L¡¢q 1R¡Ò v
Kj¾KIL15¾ 1÷qùAveñð
¡ÒK¡¢÷q ¡ ? lKú¢û qL1q£÷q6lû 1Ij 1' IK1û6÷£e
lK
÷q~ wIL£e
~Kj ùqLK£1 e¾Kú¢û ,K1~KÅ 1 ù£1 v
K¡¢q ú¢L
1×q vú¢ûlK¡¢áI£vKKÜ ¡ Á£1ú¢j
lñqú¢ñqÅK1ü 1×q w 3¡¢ wLK vúIL1¡¢LjLð
K£1L=¾ eס¢÷qlK 3~ 1¾KK×û3eñq£K R1¡Ù1l 11l5 e á~¡Ò÷lK v1¡¢ú¢51Ljl¡Ù
LqKK÷q¡¢ñ 6qL
÷q 1~Kq£áú¢¡¢¡¢K/ù 31¡Ù1l I =¾ e Rá¡¢÷wLál£1
KÑL16KúÙL¡¢ñql¡
£1ú¢ûÅù'L1¡¢
Ö ï K6ú¢¡¢¡¢K3K
1q l 1 K5v'1K¡¢6ú1 eL l¡¢ ùôq
q ñqLjqL1?
ï 1-¡Ò 1£1¾ e3£1K1£úÙûK/ù1K1× 1×q lÕ¾K 1j?
'ú¢ú' 1~á l6eñqßéK¡¢ 1÷úÒ AKú ðôñq¾ú¢£1jU£1K1£Kv6¡¢
K1LK1úÙlj K2ü1¡¢ e¾Kû2ñq¾úÒ£q ï 1q£1÷ëL1&÷w¾6ùrqð
ú¢ú¢ûßl e 1ùK¡¢ e úÒûÓ¾ eü1qLK¡¢ú¢1Ljl¡Ù
LqK6LßeñÑ
K¡¢ 1÷qú¢¡Ò 1£1 ,×Á£1KL lKú¢ûU1Kñl¡ÙlvqLU1Kj ¡ÝÁKqILqú¢
¡ÒLÑK¾ú¢úe1£ ÖRK 1e¾ e
5vùrqK6 eÁq1L151Ljl¡ÙLð
KqLAeñ eñq1¡¢ e¾Kûðñqú¢£1j(¡¢ 11£1L q
KLKvq e ¡Ò ÷L5K1
úݾK eñqRq£1L1£1LùoKÜ÷ 1
Lq'×K¡¢
1
ï 1¡¢ 1e¾ e
l'¡¢ 1Iûlñw¡Ù¾KL15 1ùq'L
ð
£1KL l, 1×q 5¾L1¡¢KjÁK£1LqqKjl¡Ù
LqLI£K?KL¡¢úÒú¡¢ el£e
÷q 1~Lqveñl¡¢qlû1K~KñqL¡¢q ñK¡¢q
#¾úÒ÷qL¡ÒL1 e~ùKÅ¡¢K&Lj
K Kqú¢ú¢û
ï 1
K1Lq£1÷5I£1¾K¡¢q
LqLKñq~¡¢/ 1q/£1Kjã /¡ÒñAI£1
K¡¢ qv¾KqL'L5¡¢1ú¢I lLj?
Ñò
q 1j
L¡Ò 1ö
e
(òô
1 1j
L¡¢q 1
ö 21 Ñ(1¡Ù1l 6 11l
¡Ò6Lñj ú¢ú3 ?K lÓ¾ eë Ö~K l&
q 1 j
K¡¢ 16ùLq
eéK&Kv 11lÑKèKñqj&¾Iáú¢ú T 11l~K
q1lÑ¡¢KÅ 16
q 1 j
K¡¢ 1j R 1ú¢ûßIL¡Ò ÷qú¢I£L¡¢q 6qlð
¾KqR¡¢Ü1ú¢¡ÒL 1×q 61~ Ñ¡¢'¡¢' ¡ vj? ~ð
á á¡¢÷wL=¾KR1l¡ ejlûIq1l¡¢ 1÷ 5¾£1KL¡Ù IKjK
ס¢÷qlj ï 15ñq~ú¢ú/KñK¡¢û6ùAI£1
K¡¢ vùKjK
1×q ¡¢á KL¡¢ 1j(lû¡¢L
j¡ÝLI¡¢A I¡¢ lð
ñq~KKù£1 e
L¡¢q 6ù,¡ÒL eK K ï 131¡¢÷qK13Lv¾K£1L
ùá( 1×q K13qKRKñKKÜI£L¡¢q I¡¢ú¢úevq
ï 1Kl¡¢KK¡¢ eÁ=¾÷q lvq1£1úÙ¾K¡¢q 1-ùL¡ KR¾¡Ò ð
¾¡¢ 1j ? 1IjKÅùrq3K1I~ñqqlL vùrK¡¢ elú¢ûÑvKL 1L , e
1KK¡¢ú¢61£1LK£1Lj UjqLU÷q~ 1¾K¡¢q U¾ù(Áw~ñqqú¢£1L¡¢q ,ú¢ú
ñqlK'¾KR
L1j¡¢K6ú¢úlùL¡Ò~ elú¢ûä¾ eIqKL¡¢úÒKjl¡ÙLð
KK !ùK(ñqú¢£e¾K¡¢q ?¾11K 1¡¢¾Kú¢û ¾ù=L1I×qKL
e¾úºù×ùájLßvq1£úݾK¡¢q 6¡¢'L1úÙqÁjÅlûI£Lj6ñKL¡Ò 1
ùá¾÷q lK¡¢ K15vLKReú ù
E <?§1P1HLJUO S&< '@v>'HKO-P
ï × q~ûÜ qK¡¢ 1?ùLq K1 eúÙ3¾ù1¡Ò ùqLL¡¢q 'L1Kû31K¾ð
ñl¡Ùlq£1-÷wA¡¢KIRK¡¢÷qKq£á e £e lL¡Ò
L¡ÒñáKL¡ÙA¾ù
÷ l vÅKûlKL veñl¡¢q ã eú¢û
Ѿ e
'¾K1~'Kv Ñ÷¡Òñ3K1¡¢RùK¾úe6L1¾K¡Ù¾úÖl e 1¡¢K¡¢q
×Ü~1e¾K¡ 5(qL'¡¢ lK£1¡¢L¡Òñ 11úÙ e¾K¡¢q ù,K1L
lð
Ká¾ e3K¡¢¡¢1ú¢¡Ý~K¡¢ 1?/K1~û5KúÙ¾K×K'£1 q¾¡¢ o
qK6ú?l
¡¢úo 6v3ù£1 eI¡¢ Åò R¡º ÷ qö~
lùK6K¡¢ L1qLû¡¢'
e
L 1j6¡¢K6Le
q
LK¡ ¡¢ 1÷K¡¢÷ð
e¾úÒ6 e K¡¢L¾ 1K¡ÒLK¡¢q / L¡¢÷q e¾ú ÅK1l£e
~
K6KûlIvqú ?1¡ÙLU¡¢IeLKjUL1K£1÷q2
3KÓ
&¾KL£1 ùq£1'£1KvqL ?LeRK1Kv 1 1~ú
ll5 ql¡¢LKqL3K1IL¡Ò÷ eú ï 1
?¾ù!Lq£1
K ej
LKIKj
~¡Òñ I£1 v
K
¡¢ lû ¾5Kèe5¡¢5¡¢ú¢úAL
ð
¡¢ñq ï 1á¡Ò÷1?L1á~ wLKwû L1Aú¢LÕÁK
¡¢ 5KáLj
¡¢ñq~
¡¢ × eéK1ÑqL¡¢Iú¢jL 1Iq eÁÑK16LûwIvqúס¢q
L£eú¢ú¢û
K
¡¢ñqjã ï l£1 ,~ wLKwû&¡¢I6K£K¾ù'K1Ѿq£ w3¾ù
6¡¢ 65L¡Ò÷ eúlý6qL31KjÁ¡ÒLú¢û K13 lLKqlûI¾ùÕ
K£1ÁÜ¡¢× £eúvK(K13ñq
÷qR l£1Ie~¾ùo1¡¢K×ùo¡¢ lùK6ð
K¡¢ K1l£e
Åòô
lñqûj1öv÷ 1
KÑLûwIvqú
ûI¡¢ el¡Ù¾K¡¢ 1÷RK1R£1 e
L¾¡Ò lûù?K1RKjÁ¡¢ñq l lKKlû
¡¢ lñqLKú¢ûI¡¢ el¡Ù¾KAL1Ü ÷qL'L51¡ÙLIK1RKq£
3 Iv
(lû5K'K
¡¢ñq qLe-¡Ò K'K
¡¢ñq =
~K¾¡¢ wûl
&I£1LvÜ~KÁù£1úvK5vq¡¢ lAq£AKe¾AK'K
¡¢ñq q1¡¢ lð
¡¢q 6ù,eL15 1 RKûlIvqúv¡Òú¢ú?v3¡ÒvK6 e
ú¢£1K¡¢ñú¢û
£1vq IL1
3ù?K1Lq£1
KL£1K¡¢q 1
vq£K15Lq£1
'¡¢ lK~K e¾ú?qv¾K¡¢q ÑL3 1q6qlq
rù1K1×K
¡¢ñq ÕÁK
¡¢ lû'¡¢oe¾Kj£1e 3q1LKñq¾K¡¢q 5¾ùwL1
K£1Á lá'~ I !ÓI£eL51K~KñqL¡¢q ¡Ò-K £1¡¢KK
1¡Ò¡ 3L1IKjÁ¡¢ñq I
L¾¡Ò lû q3 e¾1ú¢ úÒ~5£1
1K¡Ùl,Lq,1¡¢ e¾Kû3K£1Á ' rùeK1-Kj
~¡ÒñA 1ú¢û'¾ú¢úÒ¡¢
KI w£Ie3¾ùá1
£1LK eÁ¾ù & v ?K1¡¢5Lq£1
Iû
v6ùq£ eüK&1L £e
ÑjL ¾ù5K16K¡¢q 2¡¢KüK1¡¢
q£1 lA¾ùveñl¡¢q
ú?
q lK 1L13Kj
~¡Òñ 3
K
¡¢ lû¾ù
K5 1 1'LûlIeúe¡¢ L¾ e lKKlû¡¢j¾K£1Lj6
ñKL1ú¢K '¡¢I6ûßvÑKv¡ ù3K1ÑLj
¡¢ñ q
K
q Ó¾ù'K161Lñl¡¢q£1KûlIvqúALj
¡¢ñq AL1 UK16Lq£1
¡¢ú¢úevRùq£1 vK¡¢1ú¢û5Lv5ú¢K~K e¾K¡¢ 1÷5v× 6¾ e
¡¢ &K1¡¢~K 6veñl¡¢q
úA
wL 1¾ù= 1IKûlIvqú, q
KIKq£
6
q1ú¢Kú¢û61Ljl¡Ù
¾1ú¢q,ý6jL£1K& lKLqlûÑ¡¢
R
|
F
;V K3
¸[
`
}½¾"8¿
T
H
"
T
¾3
ÂÁ
À
rÃ
Ä
ÇÆ¯ÈMÉ6ÊMË
,!
AH
2
r
¯[
J[
Ï"Ð}ÑÒ;ÒDÒ;ÑEÏÐN3
u`#ÎH&Xo¼
Îk
R
"15m(Ó¯%9;mI>%'2'(S9I'',5(
^'2>%¯,7-
<)8(S9I'',5(^'8>%Ô2'')(Ó=%9Õm2A>
,7-
<)8(Ó=,9;m2A>
"
,
$
)
#
s
[
w[
P`
#
b
J[T
8[
S
9%%7Y9A
H
5
YK2
L
a
dU
u18r
^,C
G%r:^_ß
32
>+51
8f
wL
S`
^52Ú
1,9<), 5$
a
S
:v
H
5
T
;V
z½ %W^¿ %
`#ÎH&Xo¼
u',
8[
Û¯l-Ü_Ý2Þ=
5
¹%r:^
R
z½ %"8¿ ,'18(
6Í
J[
;V
,^+59;I(97-8(',CD
>%9;m
w[
_Å
X
W7P9W7-)Ì)W>%+57P'+18:5>%9;m(
Cw9^
(:,+S1)E
¸K3Ö
d
;
+SW9;(Cw9
(%+5^1
T
^'
Ù
0
rÅo
[
¸Ø
×
s
H
Y½ W"¿!
&
¯
a
;V
=,70%+5,
¯[
^'9A18E'
a
$
a
8T
T
PB8>%%<'PB8r
<9A
Mk
a
Û¯ÇàY_
a
)T
lhv
wV
a
ájnR
â
T
tã
}ä2
å32Ö
8T
T
Ò¾
$
a
MV
#
0ß\æ
¸
"
¹ã
2
T
Gä!
1
1 rùK1ILj
¡¢ñ 1K
q Åùûq¾ 1qL1
KûlIeú l 1 L1Kñl¡¢q£13× v 16q1l¡¢L¡Ò eú,qlñq¾ l÷
¡Ò÷l¡¢ 1j¡¢K6KLe
3KK15Lq£1
'
ï 1¡¢ 1¡¢úw¾£1 loù?veñl¡¢q¾úe
wL 1á jljL
1¡¢I¡ 5L1IKjÁ¡¢ñq ÁK
¡¢ lûß¾ù!6Lq£1
¡¢5L1
¾ù=L1IK£1
ï 1Il~¡¢3 £eú-KÑL1I l£1Ie~ܾù
KûlIeú¢oKv,I£1K/eL j Ke¾,¡Ò KK¡ ù?K
U 1j j6K 1¡ÒI¡ ×K
¡¢ñq'ÁK
¡¢ lûw ï 1
lKKlûÑj¾K£1Ljè1 Å£1K¡¢ 1÷ÑI¡¢ e K¡ I £e¾úLÑ
Kq£
Rq 3¡ÒL1
I¾ùÕL15Lq£1
v¡¢ el
K¡ 3úÙL÷qRKe¾ ßILq£1
3q 3¡Òú¢ú?1L1l£e
IjL£1K
ð
lK q£vúoLIK1(Kq£
RKK£ lLKqlû l1£1R 1qú¢×j
ï w£ 13Lj
¡¢ñq~ܾ 1 1qס¢ e
LjLÜ¡¢L=
~K¾¡¢ wûI¾ùÕ3Lq£1
wûI£K¡¢ 1÷¡¢ el2L¡ 3úݾK÷Ke¾ 6K15Lq£1
'l~j
çßxæèWÒ¾
"
P
^
â
T
T
;V
a
é
(
',
E
%PÓJ9^'
Ó
"
)T
;V
6S9;>(
;V
;V
a
Y%+P,58^
;V
!
a
a
5
;V
a
KLqlûK e
KL1Ül~÷qK~'ùÁK
¡¢ lû¡¢ K1R1lú oLL
K
1L¡¢K¡¢q 1jÿ× 1K¡Ùl,×¾ elqú¢ûáveñl¡¢ 1÷1¡¢ e¾Kû'Lq£1
¡¢KÑLK£1 lKLqlû6ù
1 & v e6Kv'L1¡¢ 1¡¢ú
¡¢ elUK¡ R 1j jK 1¡¢I¡ ~=3Lj
¡¢ñ '
L¾¡Ò lûI¾ù
K¡ÒILq£1
6¡¢ ¾ ¡Ò v
6K16q
lI¾ùÜK£vK2èK£1
6¡¢
L vKÜ q£¡Òñq¾ú¢ l=ýѾ ñI1lú?L £1¡¢K 'LL
KKK1l£e
K
L¡ÒLK¡Ù¾úÒú¢û¡Ý lK¡Ùú/e~eñl¡Òj ï 1¡¢KL£1ú¢
¡¢o£1 vlKL¾ e1úÒL¡¢ e
×K1Lá ¡¢LK, 1'L¡¢÷q e¾úqKLK£eÁK£1LK
¾1K£1LL1K£1÷qèK¾Kq ï l£13I¾ el#Lq£1
¡¢3
q 1L¡Ùð
LjÑLIe(K¡¢1ú¢Le ÑI
1ú¢Lú¢û1Ljl¡Ù
1ú¢5Lq£1
ù1¡¢÷q1q
l !K1ÑL¡ ¾ eULKK£v
K£1LÓ¾ùL1&ýÑ qñ
1l~ú1¡¢AeA
£1 lK l 1q,KÜ
1LKL¡Ò¡Òú¢¡¢û3ùoL11K¾ð
l£eÁjK¡¢÷q vú ï 1¡¢oñl¡¢Ó¡¢,K£1K¾ lK¡Ùú¢ú¢û3K¡¢¡¢úÙvK3Ká 1¾ð
K¡¢ 5ù
=ùq£1 v3¡¢ òÿ×K£1
L eúÙ lö
E '</P1< ¦Ñ§ R<ë¤UP ¦ U@,J?< 21~ _
q K¡ÙlLj K÷qL1 ßl~ vT lKLqlû ùqL
K 1£1v× U÷q ¾KqÁqúÒ ¡¢û& eé1Kl¡Ù
K
váסºù5ÅK¡¢÷q vúe¾ÅK~÷q£1úÙÁqvq l ,K 2Kv
vq 1 l eR1Kl¡Ù
KjèKL£1¡¢ 1÷3Le×K1Re×¾ù
K'1Ljl¡Ù
Ká¡¢×K£ Á¡Ò~ w qLe-¡Ò qL1'Kjl¡Ù
Lq×I£1K,£1L
üq
lIK
L¡ÒLK¡Ù ,¡ q ?1¡¢KLqLû&¡Ò vl ?ù3K¡ 1L 6¡¢×K13q
l¾ùKÜL¡¢÷q e¾úev¡¢ 1÷1Kj ¡ÝÁKj? rùoL1
1Ljl¡Ù
K 5¡¢ el]K¡ I¡¢ ?L£eL&Ke¾ ?K1~ ß¡¢
¡¢ú¢úvúÒK61Ljl¡Ù
5 1ú¢ûÑKv3eKL¡Ò ß¾ùáKIK¡¢÷q e¾ú
K~÷q£1úÙÑ
vq 1~ wKe¾¡¢ KjÁúÒ& ëjL£1K¡¢ 1÷
KáL¡Ò÷ eú ? lKLqlû3¡¢K ¾ðôl/K
K¡¢LK¡Ù
j j¾ú¢úqKv
¡¢ el K¡ &lj
LjL Rj¾K£1LjU lLKqlûU¡¢ e
LjL
Kl£1 A1Ljl¡Ù
LqK£1K¡¢ 1÷ÅK6ú¢ú¢5¡¢ el¡¢ú¢úá 1
K
L¡Òú¢û
v5á q~Ke¾ L1qL5£1L¡Ò ÷úÙL÷q¡¢ e j
j~£1L&¡ÒLK÷£1úÙK¡¢÷q e¾úÜ
vq 1~ wL¾KÅ¡Ò 1K~ wLú¢û
£1 1Kjl¡Ù
1ú¢ A¾ eÅq£5K1L
ð1úÙûq(÷wL £1¡¢K÷q~ lð
KKK&vÑ1Kl¡Ù
¾1ú¢LÅùK¡¢ vlú¢ûÓ1Ljl¡Ù
KK A÷q~ 1ð
LqLI£1L3¡¢ l¾¡¢ L£11L lL¡Ý¾úáL÷q£úݾ
vq 1 lL5¡¢ q
lAL3K£eÁj? !ñqLK1~úÒ~K ÷q ¾KqLA 1K3e£ lð
1Ljl¡Ù
¾1ú¢5KKÜqKL¡¢úÒR1Kl¡Ù
KKj ï 1Rq 1ú¢ûIûIeK
÷qlú¢~ 2vß ÖjÁK¡¢ñqú¢û2¡¢ùqK1Å÷q ¾KqLÑ e
ùL¡Ò~ elú¢ûKjl¡Ù
LqLK5ñqú¢ñqLûlKK~ q
l e1Ljl¡Ù
L¡Òñ
vá-Ke¾Õ¾K
ú¢qLú¢û5¾L1j û,÷qKK~AKe¾ L11L
ð
l¡Ù
L¡Òñ3e×ùAL131qLK¡¢ú¢ÜKjl¡Ù
LqLj
÷£1úÙL¡¢÷q e¾úÒ6ú¢ú¢ ùrqü÷ 1
ú3KúÒ£K¡¢q 2LÓL1
1Ljl¡Ù
K¡¢ Ѿ ? 1Ljl¡Ù
K'¾ùÕv× &¾ Ñ1Ljl¡Ù
5 lû
÷q~ 1¾KIù'q
l /Kè¾eè1Kj ¡ÝÁK¡¢q /KK
ð
ùK ?I÷ 1
Lq3eR 1L1q¡Ù
1£1RK¡Ò v
Kj¾K¡¢K'l~
vñq , ï 1á¾£1 l1lûÜ¡ÝL3KA÷q ¾Kq,¡¢ e
LjL,¡¢K
q
l eK1£ 11Kl¡Ù
¾1¡¢úÒ¡¢û¡¢A 11¡¢1¡¢Ká¾áú¢×Aløð
K
L¡ÒLK¡Ù
ÑlLK¡¢ 1#I£eLUKÑ1Kl¡Ù
K 6eøùqøð
¾ e
3l÷q
ql~j !ùA
q£1LK ?(÷q ¾Kq6û5¡¢ e
LjL5¡¢K
KL£1 lKKlû¡¢ 1KLjq Ö q¡¢ 1÷K 1×ñq v¡Òú¢úo¾úÒLl
ù
lû1qvùAv¡¢ 1÷I1Ljl¡Ù
K6lûK'ùrK¡¢ elú¢ûI1Ljl¡Ù
Lqj
ï 1ä¾KL£11L¡¢q 6£1ÅK e3v ÅKe¾ÜKjl¡Ù
LqL
¡¢ú¢úoq
L£eú¢ú¢ûIñqú¢ñq'L£eLß÷q~ 1¾úo1Ljl¡Ù
L¡Ò Ñú¢÷qK¡¢K1Å
!ù!Áq£1LK /K1¡¢3K~1KL lKI Å¡Ùljú¢¡ jþKqú¢£1L¡¢q v¡¢ ÑKú ð
¡¢û ãK1I¡¢KL£1¾ù=÷ 1
ú¢¡ jL¡¢q ÅñwoLe
¡Ùú¢¡ jL¡Ò ß¡¢5¡¢ lK¡ ð
¾Kú¢û6K¡¢jèKKe¾3ùávq1£úݾK¡¢q Ål¡¢ñqLK¡¢ûß vÑlq6¡¢ f
Ô߸æúÒ¾
;V
True
System
V
^
Measured Entropy
2
3
4
5
6
7
8
9
繺·j¬ª ȪÁ±~®¬qª
²I°®
Ïl¨?¬qª ¾Ã®Àª¸µ?½À¼«Ã±~½q² ײqª
Ï
&ê
6OüMæý
8T
!
;V
">E):9Õ>9A1C517o^CD8Ì9;:
\ÿ
Å
Å
5[
"52
8T
0³
zë
a
â0
M
2
[
V
\V
s
¯[
"s
;V
0V
ÔßNæñ2Ò W
?[
@ßYæÒ¾
DV
2
"
"
a
S
GR
H
O
åßæòWÒ W
zâ0
M
)T
&ß{æóÒ¾
N
[
6
R
WÒ -ôõßôç2Ò W
¸Em)+5C;P17o^,5
T
}9%Em)+5CD
1
70%5
a
"
b
T
Û¯wÛ÷ö"ø\ÞIùWîIÝ
T
!
;V
;V
G
òô
a
Û¯AìuàY_\íÝÝî/Ýîï
é"Üð¶WS
lYÜÝ2Þ=
T
!
;
2¡¢K3q£1/ e1ú¢oK£1Á vñq × eKLojL£1Kj lð
KKlû¡¢K1£1 q~1¡¢ 1÷IK
q ¾ùAK131Lñl¡Ò£1Kú¢û÷q 1~Lj
KûlIeú eL1¡¢5¡¢5 £1¡¢ñqú¢ l3Kèj¾K£1L¡Ò ÷~ wLKwû&¡¢LÓ
¡Ò vlÓL¡ ~'ù ~K lqAjL£1K¡¢ 1÷3¡¢K K¾ðôl~áLL¡¢ð
K¡Ù
j R£1×K
q ejL£1K l K1~ l£1K(¡¢ elUK¡
ùAq 1 e eKLðq
l5LL¡¢KK¡Ù
'£ Lðq
l5jL£1K
ð
l'÷lñq5£¾ Ñ lKLqlûѾù
11£ÜL1 eKLðq
j¾K£1L l,ùrú¢ú?KK13KL£13 lKLqlû¾ù 1 el
j¾K£1LjI lLKqlû¡Òú¢ú?ú¢ûw× 1qLq 1¡Ù¾ú¢úÒûlj
LjL
¡Ò vlÓL¡ ~'¡¢á¡¢ eÁKj¾Kj 1¾ eñ lK£e¾úÒú¢ûKjL3Lq£1
KK£5 lKLqlû 1¾¡¢úÒú¢£1LK
KI¡¢ o¡¢÷£1K 1
TLq£1
ß¡¢LzLK£1è lKKlû
,K£eLë¾ -¡¢
q1ú¢Kú¢ûU1Ljl¡Ù
¾1ú¢Ó e K~÷q£1úÙ
q lK
L 3Ó¡ºð
eLûßLq£1
6¡ÒL& ¡¢6úoKL£16 lKLqlûß¾ù
lð
K¡¢Kú¢û5úÙ l,KLK£eÁK£1
úvK÷£1úÙK¡¢û¾ e 1 q,eKjl¡Ù
Lj
eLKRKe¾
el ñ¾÷q ¡¢K1£1áLe
¡ Ö l 1ú ð
jl÷q¾ùÖ¡¢LA¡¢ wLK vú1×q w qA3K£1Á¡ÒLIKL£1 lKLqlû
Kq1L5¡¢ Ñvá~ lK1~KI 1¡¢KL'vqK
5 eѾ 3KK1
Kq£
IL¡Ò÷ eú ï L÷q£úݾäÁqvq l5¡¢LeeKL¡Ò ùÜL1ÑL¡Ò÷ eúLe6 UvÑK~úÒ¡Ù¾1ú¢û&1Kj ¡ÝÁKj ×1¡¢ú¢6K1
¡ÒLK÷£1úÙáÁqvq l¡¢ALe-eKK¡¢ IKe¾á 1q ûä
ùÙð
¡Ò ¡ÒL¡¢q lL1¡¢ lùrqK6L¡Ò
lK l3ù=K£1
II£KK~K¡Ùl
e
ú¢£1K¡¢ñq~úÒû¡¢ KÜ¡¢LK÷£1úÙ'
vq 1 l
lûlKK~Tq '¡¢Ü¾ú¢KI £e¾úoKIL15ú¢q÷lL¡ÒL1 ¾ùÕL156 lð
¡Ò6ú, l£1Iv5ù'L¾KIL £1¡¢KjéùÑýѾ qñÅ1l~úáL
K1L1l£e
Revñw¡¢AK
K¡¢LK¡Ùú¢ú¢û3¡Ùl lK¡Ù¾ú1KRLq£1
lð
F
a
10 11
Order Statistic
2
5L
Entropy
1
DV
wV
0.0
!
6[
T
True
System
$
T
$
Order
5$
¸û,, pF
þ
1.0
a
a
2X
;V
!
b
#
8
"
X
H
!
T
a
^s
Z!
s
^
S
;V
;V
!
;V
K1lûlK¡Ù
!ñqLK1~úÒ~K lvñw¡¢ 1÷3Lq- 1qL¡Ò ¾ùÖvA¡Ùl
ð
ú¢¡ jIKjl¡Ù
LqL~ Ñ e6¾ 1 1'l 1¾ ee'¾ ¡Ùlj¾úºð
¡ ~j¾K-qÁ'ú¢l láú¢¡ q 1Kñl¡Ùl(£1K
ùr£1úvù¾×q 5¡¢ 1¡ÙK6L e¾¡¢ 1'~1¡¢K¡Ù¾úeLK£úÒLj
E U<o¦lî'Wø§1¦
j#
;V
v. Gen. 1
h
^
DV
; 2
z"2ÞÝîW¸-)SîIÝ
¸·p"5î"
T
w[
e
2
r
^'(B,+59CD'
0
[
d[
-K
e
tÚ2
,
zV
¸V
^!
!
6[
R
¸Q
h
j
5
R
M[
YK
wT
xÚ
8TZ_h
=K
5j
S
210
220
230
240
250
260
270
280
290
300
310
320
330
340
350
360
370
380
390
400
410
420
430
440
450
460
470
480
490
500
510
520
530
540
550
560
570
580
590
600
610
620
630
640
650
660
670
680
690
700
710
720
730
740
750
760
Time Step
770
780
790
800
70
80
90
100
S´
20
30
40
50
Time Step
60
&
xøx"Üp
2
6
V
R
V
zR
^
T
&Q
POWO_OQWQQWQW
-R
R
z3
NU
&Q
M
MF
)T
wV
03
zU
YQ
$
;V
JV
^
w
,
a
R
200
b
s
T
190
j£K5L1'÷ 1
KK'l~
L¡ÒvjѾeñ'LÜvú¢ú¢¡ÒLK¡Ù× e
ñqú¢ñqjL5v1Kj ¡ÝÁúÒRK5Lqq 1 K1~ûLKLúÒ £1¡Ù lú¢û
¡¢ lKL÷q£úݾ5òreL¡¢ ¡Ý~ö'vKLK ܾùAevñw¡¢j ï 1q£÷qÑú¢ú
K~÷q£1úÙ3÷ 1
KK3eñ5KL£1~ wLK1¡¢5ù ~K ãK1ûÅ qñqLû ¡ ?L läl~ vl3ù'61Kl¡Ù
Kj 15 eð
1ú¢ lL13÷q 1~LqL¡Ò /¡¢÷q£K ú¢úveñq35LK£1R lKLqlû¾ù
L /1£1¾Kùq K
o v Åò ùK
KL5eKLqö~ ï 1'1Ljl¡Ù
Lq¡¢ /¡¢÷q£K (lláñKûI×ú¢ú
÷l¡¢ 1LL1LÜ÷ 1
LqK( '× /¡¢÷q£K 5L1Aq£Kjl¡ÙLð
K5Ke~ùK 1vLKKe¾ ß
e qT÷q£KL¡Ò ÷ß÷l¡¢ 1K
&vKL¡Ù
£1úÙ ¾Klðq
l÷ 1
Lqj l¡¢ eÁÑq
l6¡¢ el¡ÙL
KÜ¡¢ 1¡¢úl l£1Ie~Aù,KûlIeú¢LeI£KAv'Lq jK
1¡Ò¡ Kjl¡Ù
L¡¢q K1¡¢ Llðq ÷q ¾KqRK1£1úÙIv
j¾K¡¢5LKjl¡Ù
(Ke¾ ß¡¢L13K1 ¾KÅq ¾Klðq
l3÷q~ lð
K v÷w¾¡¢ 1K1¡ÙLL151Ljl¡Ù
LqÜ w~áú¢ú
21 á×K£KAL1á~ wLK1¡¢AùvK1LK1L÷q~ 1ð
KKA¡¢L¡¢ elüK¡ K(K1Lq£1÷L1¡¢KK~ áLlû
T
!
180
"Çö"ø\ÞIù^îIݹ"Üö"ø\Þ="ÝÝî"Ü
a
170
R
Gh
j
160
T
YQ
150
z²
N'2
#
140
Àç¼¹º,·¬q¹º®áª'¬Î½w±~Ç´?ĺª3ª
²¾À¼3¹º»Àª
¼½ÀK°±
®
¹º½IÏ%$áÀ¼3±~À² ©¹º×®ª
Û~½qÀ©ª
K¯±¼À¼²q
ª
Ï1A¨A·ª
©½qªª
ªK°±¼~À¼Äº°j
ª
Ï ²«ª
²¹º»L¯
KK6¡¢ 1¡¢K¡Ùú/KLKIL£1÷q÷KþKe
¾ù= 1~á Åevñw¡¢K
K¡ÙL6 1£1÷q6KIL£11vqLÜ
lñqú¢£1K¡¢ o
e
130
10
6[
a
120
v. Hard Evader
a
110
µ
a
100
|²
w
90
q´
Î[
=Ú2
80
»çÌ"¼j!#¹º·½!¬q®ª
Àr¹º»ª¸3¬Àrª¹º°j®×ªLÀĺª²wÃ5«±~«¾®
«qÏÄÒÀr±
¹º×°Ãª'®ª
½q±~´?ª
·K±
ª
±~¹º²À½¹º¼j®»
3ÀoÀ¼ªLÇlṺª
·j©wå/©±
À?ª°©l²¾¹º±
¼¹Ê1°Rª¹º¼¹º®3
ª
Ͻ®À/שq·j¼½3ª
ÂAª½q½6°ª
¼~K²¾Äº±~°j¹ºÀª
¼jª²»
®
Àr«qËĺÃѪª
±²±~»L¹º©Çw»
¼~ÀÆÙ°j¼¼jª
À©qªR«qª
²¹º»
À¼ ®-¹º½Iª±»L©¸5±~À»K©1Ï
"[T
6Q
70
v. Gen. 8
M$
R
60
v. Gen. 7
)T
$
50
v. Gen. 6
J$
T
40
v. Gen. 4
[
30
v. Gen. 5
"
20
v. Gen. 3
'£ vKK- 1eL¡¢ lK,LKAL1 1¡¢ eúq~e¾1¡¢úÒ¡¢L¡Ò~oùvq£1
Kj
£KK~ w¾KL¡ ?
¡Ùú× 1£1
ú× 1×q l¡¢K&K~Kvj
IKèq£1
1K1ú¢ lq6¡¢ o R£1'LL13 eL£1KRùoq£á÷l á3 jL¡Òú¢û
ÅKjl¡Ù
LqL¾ù w &e×5L1K£1÷qU
K¡¢1ú¢1l¡ Ö¾K¡¢q &¾ùL1ß¾úÒ÷qL¡ÒL1 £1Lj KÓ
1£1L
lKKlûw &ÑKl£16
ù¾ 2 lñl¡ÒLq 1 lIù5×Ó1Ljl¡ÙLð
KqL3ùá£1 £eúAv×5 eèñqú¢ñq÷q 1~LqL5K6vj
q
1¡¢ú ú¢û£1 1Kjl¡Ù
1ú¢KÑL1×j 1Kj ¡ÝÁKq1¡¢ú¢
K6¡¢ 1¡¢ 1÷6 ¡¢¾úºú¢û1Ljl¡Ù
1ú¢6KÅK1KIváøù£1ú
q 1q ï 1÷q ¾KqLAKvAñqú¢ñq×K£v
Lù£1ú¢ú¢û eú¢úlK1 ¡ÝL1
e× Kß×Ó1Ljl¡Ù
LqK &Ñ£1L éñqL¡Ò~ûz¾ùK£vK
e ewðô1£¡Òú¢I1Ljl¡Ù
LqKèKUñqú¢ñqßüK~¾ù é÷q ¾KqL
Ke¾A¾ 1÷qRqLKú¢û5ñAKûlLKðôlLá(K1Lq£1÷I¡¢÷qlj
&,K 5ñqú¢ñq,1Ljl¡Ù
KK,÷w¾¡¢ 1K?L1¡¢ 1jRK~¾ùw÷ lð
¾KqLj ï 13qv¾K¡¢q ù 13K£eL61Ljl¡Ù
K'¡¢×K1 6¡¢ o¡¢÷£1K 1 ï 1 e÷q£1L5l1¡Ù
LK13qv
K¡¢ ù,q£1×1Ljl¡ÙLð
Kq-ñq 3L¡¢ALK1 R£1K¡¢ 1÷5L1L RK¡¢áLK1 lK1
1Kj ¡ÝÁKq
1KjÁ£1K¡¢ñq~úÒû1úÙûlá÷l¡¢ 1K-¡¢÷ql= ¡ ?L lá÷ lð
¾KqL5ò÷w¾¡¢ 1K×1¡ÙL¡¢×ñqú¢ñqj1ö 1jLùrqq Ül£1 vlKj
K¡¢ILK1 ï 1è÷q 1~Lq Iveñl¡¢q¡¢IK1 Ul¡¢KjÁKú¢û
vñq×K11Ljl¡Ù
Lq ס¢ jLI
LoõAqLI÷q~ 1¾Ká 1~ð
á v'¡¢L'q
L¡Òñq¾K¡¢q 6ú¢ñú¢KL3K ~K6'L15v÷q¡¢ lð
1¡¢ 1÷3ù?¡ÒL,
Lo
q lK
L K1'
K¡¢ñqL¡¢q 5ú¢ñú¢Aù?K1
1Kj ¡ÝÁKq á ¡Ò×K~KRq 1ú¢ûIq v
1×KÜv÷¡Ò 1¡¢ 1÷¾ù
K1 vKKR¾L¾K¡¢
ðKL L 1Ll£1 ùLq L151Ljl¡ÙLð
Kq vq¡¢ l¾ù'ñl¡Ò~ ,K16÷q~ 1¾KKv 1÷I¡¢Kevñw¡¢
ñqLû 15l£1 elLjK¡¢RKL1j
R£1L¡Ò ÷~ñqqú¢£1L¡¢q ?áñ /1Ljl¡Ù
KK 6eñIK1¡¢
q
L¡Òñq¾K¡¢q &ú¢ñú¢LK~IL16e~÷q¡¢ 1 1¡¢ 1÷ѾùÜjLz6
K/
ï 1KÁùqL 11Ljl¡Ù
LqK3LÜ q× 11ú¢¡ÝÁ¡ÒLú¢ûñqú¢ñqIK1
K3K£eLILe 1÷A¡¢ 5÷ 1
KAveñl¡¢qj !ñqLK1~úÒ~K /¡¢÷ð
£1K IL1'ñKûßÁqvú¢ú¢¡¢ 1÷~ñw¡Ùl~ e
ù=11L¡¢ñq L1£1ð
K£1¡¢ Iveñl¡¢q'¾÷w¾¡Ò KKK÷q ¾KqL vK5K £1~ e
I¡¢ 1¡ÙKK13÷ 1
KK3K3= w~ 1q ?j
RK131Ljl¡ÙLð
Kq ávùrqK6 eÁq !ùKvj
¡Ù¾úo¡¢ lKLK¡¢×K13 lK
¡¢ 1 l
evñw¡¢' 11¡¢1¡¢K6lûÑK11Ljl¡Ù
K5'L1e÷¡¢ 1 1¡¢ 1÷¾ù
jqL6¾L l¡¢ ¾úÒú?6
K3ò e
~1'L1 eLKö 1×5K~5K1
1Kj ¡ÝÁKq×
q lK¡¢ l£1ס¢K,1£1LK£1¡¢,e~eñl¡Ò/ùKK11Lñl¡¢q£1
L3ùq-KqAvK¡¢1I¾ùÖL¡ÒAv
ùqL¡¢Ae~÷q¡¢ 1ALÜ~ wL¾¡Ò KIKÜ ë÷ 1
Lq Revñw¡¢j
K /¡Ò÷£1K ,×6KÑLeKÑ1Kl¡Ù
KI¡Ò¾ú¢=ûl
Keûl¡¢ 1÷ÓLK lL¡Ò UKUKß÷ 1
K RKe¾6¡Ò ×K1&1L
ð
l¡Ù
Käll 1LKLúÒ6¡¢ lKßþK¡¢ 1÷qú¢ /¡¢I£1
1ú vKLK ùevñw¡¢j ï 1IKjl¡Ù
LqK1(K 1L¡¢K¡¢ñl¡ÒûÅKèK1ùL
ð
q£ e
û l1e¾K 1¾ el£ûqðK
û1
ú¢'¾ùL1 eLKL¡ ÷ 1
LqK
1£1LK1~ ,÷q~ 1¾KK ß¾ e 6K Ke¾5K1Ljl¡Ù
KI¡¢
e¾1ú¢'¾ù¡¢ el£eÁ¡Ò ÷qK'ÁqúÒ Áqvq£ e 5L¡Ò÷ eú¢
K1£1÷q5÷ 1
Lq !¡Ò, 1,eøùj
Lú¢û5¡¢ el£e
? K£1Lû
s
10
v. Gen. 2
T
KÓ ¡ÒLK¡¢ 1÷£1¡¢KÓv× 2L10/ò (11öIl¡¢KL¡¢ e
IvK¡¢1ð2
UK
ð
£1 eÁj eL¡¢ ¡ÝL £1 e
Åù I 1ùú¢úÒ×jÅlûÓ
L 'ÅL £1 eÁ&ù Å 1ùqú¢ú¢×j&lû ~Kq e
K5K £1~ e
IK~ ß¡¢ /¡¢÷q£1L =úÝ
5¡Ùl lL¡Ý~ú
ð
¾ el£1vq ÅI1Ljl¡Ù
K5 eѾK 1qR £eú¢ú¢û ¡ Á£1ú¢K
ñqú¢ñq¾÷w¡¢ 1Lj ùqLL¡¢q ÑL1qLû&Kl£15÷¡¢ñq5£ä6û
KK' ÖjÁK¡¢ñqú¢ûÑLe
q
LK¡ Le
l 1Lj ï 1¡¢Ü¾1¡¢ú¢¡Òû
¡¢A¡¢ lñqú¢£eúÒ-1 ¡¢ lñq~KK¡¢÷lK¡¢ 1÷3
lñqú¢£1K¡¢q vKû(úÒK ¡Ò ÷e
O
Measured Entropy
1
5th Order
0.8
6th Order
V
^
0.6
0.4
Q
zU
UxV
GR
&
4
6
8
Window Size
10
12
14
ç×¹ºª·j½¬ª
KªÜ±ÀÛ ¼µ?®
Ïo½¨AÀ©¼ª«Ãß*FÉ,±~¬q湺°®5ª
®3ª
ÆÙ«q¼j3ª
®Àª
©½ªäÀ®3Û~ÀÀ©1©qª5ËÚ~ÂÕÀ¹º©1½qËA²q±~¼~½q²ü®r¹ºÌ)¿~Àª©¬q¯ ®×ª
²6²Àª
¼
¸Üª±~®¬qª/ª½À¼«ÃÏj¨A©ª,+ѱ~湺®?ª«ª
®ª½À®?À©ªo¸3ª±®¬ª
²'ª
½À¼j«ÃÏ
1¡¢K1~ lKKlû 1álLú¢ú¢áL15
q1ú¢KRKKKû¾úÒ 1q
o¡¢÷£1K (÷q¾11L1
ÜLe'¾K31K1l£v
j
wûèj¾K£1L¡Ò ÷~ wLKwûÅ¡¢KÓl¡ ?K~ w(¡Ò vlK¡ ï 1
Kqú¢¡Ùú¢¡Ò 5¡¢K1 lKLqlûÑ
q lK£1RùqL1 Llðq '÷ lð
¾Kq ×KLe,K¡Ò,÷ 1
Ká¡¢Aú¢Ljqlû3L£11K
lK¡Ù¾úÒú¢û
1Kj ¡ÝÁúÒ3¡¢K65I£vKK6ú¢ú¢A¡¢ el2¾ù?ùq£ l1£1L
ð
q£¡ÒLo6 lûK,KûlIvqú¢vK'vALq j5Le
1ú¢Lú¢û
1Kj ¡ÝÁúÒ ï ä1¾K1ÅúÒ¡¢ 13¡¢3K1I
wLq£1Rù'L1 ¾Klð
q I÷q ¾Kq AL1¡¢ eüK Llðôl~I÷q 1~Lq6K
ú¢K5 £e¾ú¢úÒûü1Kl¡Ù
¾1ú¢Ñ¡¢K2Å¡¢ el ù5K¡ vñqq
'á KIv3ù£1ú¢ú¢ûI1Ljl¡Ù
¾1ú¢ vq 1ú¢ûI 15KRKûlIeúe j
eK
q qjèùrq3K1 ¾Klðq
l3÷q~ 1¾Kj ï 1ä qKLjÅú¢¡¢ 1
K1K16 lLKqlûÓ
lKq£5ù5Kv Llðôl~÷ lð
¾Kq ,K1¡¢I÷ 1
K veñl¡¢qIej¾KI
el £1 lK¡¢ú
K1R¡Ò vl2K¡ RKjL1 vñq l1~K£1vq 6¡¢×¡Ò
1ú¢Lú¢û
1Kj ¡ÝÁúÒ ï v'¡¢ 1ùrq ,úÒ~ 1÷qLlðùrq£1RK£11L £1 eÁ¾ù
K1¡¢3÷q ¾Kq 5q£1L1£1 ?K1I 15KûlIvqúA
q£úÝèv &
jL¡Òú¢û¾ lú¢ú 5vqLK¡¢1ú¢3úÒ~ 1÷qLlð vñq'L£11L £1 e
~5Kl£1
1vjR¡¢ ÑK1(q£1L1£1j qRjqLÑú¢ 1÷Klð eñ5K£1K £1 v
1á~ñq 1KÜ 1KûlIeúe¡¢£1 ¡ £1~úÒû6lLK¡Ò j?
ï l£1 1¡¢ú¢ K1 K ðôl ÷q~ 1¾KëL £1¡¢K K1
ù×K5LûlIeúÒRK6vK
q qÅK6eùr£1ú¢úÒû61Ljl¡Ù
1ú¢ /¡¢
ú¢K&e¾L1ßqLä
lK¡¢ 1÷q~ e
¡¢6KüeÑLKú¢ñqj ×L1KÁð
K lK¡¢ 1÷ eLKúÒñl¡¢ 1÷5L1LÜ
wL¡¢ 1÷q v
¡¢á¡¢áÁq£1¾K¡¢q Ke¾'5÷ 1
ú¢¡ j61Ljl¡Ù
LqI£1LávùrqKÅ 'ú¢úvùAK1
eKK¡¢1ú¢ eñqÁðô1¡¢/eLKL 1AI£1LováLq j5L w &£1 eð
1¡¢÷q£1£1Kú¢û5e¾AKùúÒú¢¡¢ 1÷R1¡¢A¡¢úÒúeq Áq lK
K lK1
Llðq ÷ 1
LqIK q£¡ÒL 1ú¢û Ѿù'K1 þeð
K¡¢1ú¢ ð1¡¢'e¾KLK 1ò IöL6eILq jÑLßlLK¡¢ 1
K£11L £1 l'¡ÒLj
ï 1× l£1Iv,ùe£1 ¡ £1- ð1¡¢ovKLK ,ùq£ e5¡¢ I .ð
q 'vK¡¢1l¡Ù3L £1 e
¡¢' £e¾úoLIK15vL¡Ò16¾ùAK15L
ð
q£ e
q ï l£1 1K Llðôl~'÷q~ 1¾K'ù /¡¢÷q£1L Ie3
eL¡¢ ù 1KK ¾Klðq
l÷ 1
Ká¾ù /¡Ò÷£1K
e¾ÕRvK¡¢1(ù 1 1£KK K1×vK¡¢15¾ùÖRK £1~ e
'¡¢ lð
l¡ÙLK1( w£Ie×ù/ù£1 eÁK¡¢q e¾ú¢úÒû ¡ÒLK¡¢ e
L¾KRKe¾'
1Kj ¡ÝÁKq,I£1Le6¡¢ l¾¡Ò R¡¢ Ü¡¢LoKLjq ûqðK
Láveñl¡¢q-ò¡ q
ùL lK
¡¢ 1~ w
ö ï l£1 1×~ 6ûKe¾K1 ¾Klðq
l
÷q 1~Lq¡¢5KIl¡
£1ú¢5Kè1Kj ¡ÝÁIK¡¢1ú¢û6vj£K6¡¢
K £1¡¢K~qK(K¾K ñKL1ú¢L ,KIKKqlûðK¾K6l
ð
vl31úÙq
jéq Ó6Kjl¡Ù
LqKú¢ú×£1 1qL1¡¢ 1÷ßvq£5K1
q1£1¾K¡¢q vú L ÖK IK15Kjl¡Ù
LqRKv elRKLK¡¢ñq5¾
¡ÒLáLKjlûðôL¾K lL13j¾K£1LùvL¡Ò1llá qú¢ú¢Ó£1
-U
;V
M[
PC/C
a
äp!
T
Nã
Q2O
A[
"R
I[
T
Õ
¶3
"!
;V
5H
J[
Q2O
6
5
Q
nQ
:
¹K
¾OÖ
GÚWO
Õ
P3
=R
pQ2O
6
PQ
Q
pK
R
pR
;
P3
L
#
h !
j
"
Q
d3Ö
d[
dk
!
zU
3
d[
¸18^9A,
;V ¸[
a
"!
éQ
!
N3
nR
8T
;V
;V
28
í@ÝÝ, "î
R
T
!
!
c"îIIÞÝ,
f
¸Q
76
j
ï 1 &÷ 1
ú¢¡¢û2ùäü1Ljl¡Ù
LqÑLKK 1÷qú¢û2L ejÁKÅK1Ól¡ ð
ñq~KK¡¢ûüùÜL1Ñ÷ 1
KK6÷w¾¡¢ 1K1¡ÙLÓ¡¢Iñqú¢ñqj? q
e1ú¢ v1 &×Iñqú¢ñq1Kj ¡ÝÁKqL ÁúÒ£K¡¢ñqú¢û&÷l¡¢ 1K
qLlðq v ¾Klðq
l5÷ 1
KK o× e eÅL1Kjl¡ÙLð
KKLIe3¾K1~'Kvj
¡Ù¾úÒ¡ 1L151¡¢ú¢¡¢ûL1Ljl¡Ù
RK1L
÷q~ 1¾KK5ll3 1qR 1j
~K¾K¡¢ú¢ûß
lù3 ß¾1¡¢úÒ¡¢ûIL1L
ð
l¡Ù
úÒ×øðôle~eñl¡ÒK el~j lL1¡¢KÅ¡ÒLIK£e~
K
KÜKjl¡Ù
Lq¡¢ /¡¢÷q£K 5vøùqLAvlqKú¢û¾÷w¡¢ 1L=(K¡¢ð
1ú¢ eL¡¢ wðô¡¢÷w £eL
ðôñq3veñl¡¢q
rù=×~ñqqú¢ñ1Ljl¡Ù
LqKI÷l¡¢ 1L'÷q~ 1¾KK5¾ù=ñq¾K¡¢q£1
ú¢q 1÷6vK¡¢1l ,1£15¾ù' 1j l£1û&
û1
ú¢ ,× e eÅKv
K¡¢úÒ I1Ljl¡Ù
L¡Ò &KLL÷qûÅvj
q3K v1ú¢
q Ke¾L¡¢1ú¢û'£1K£1KAv,¡¢
Ó¡¢ K11Lñl¡¢q£1,K¡¢
KL K£eLRKL¾K÷û 1ú¢û5¡¢KL,q K1÷ 1
Lq AL¾ lð
K¡¢L¡Ò 1ov× L¾ e3 1á v K1Ljl¡Ù
L 'L1×KLáòrð
K¡¢û1ö5¾ùÜKL £1 eÁß
qLKjÁKú¢ûw RK1Áq1¡¢Iñq¾K¡Ù lK
K~ z¾1eK£1 1ÅKÑe¾KL¡ÝÁ£1úÙ3e~K¡¢1l /K£eLüKe¾ lû
e¾KK~K ÅùáL11K1K¡ÙLvL¡Ò16¡¢ú¢úov56L1ÑùL
q Ü
û1
ú¢q l£eLjl¡¢1
KLqú¢£1K¡¢ 1á1Á£1jL¡¢úÒû1Lòô
úÙq ¾ùÁö-÷q ¾Kq3l¡¢ñqLK¡¢û¾ú¢úÒ
"Aì
z%58^z1rE
+S8>
;V xh
435
:ë
²
3
wL
"
8
2
N^)
13th Order
0.2
0
0
R
¯H
a
dV
]
¸h
j
¯s
F
9
&'v÷¡Ò q£1 vú¢ûlK¡¢Aù ¾ñqú¢£1K¡¢q vKûK~K£1ú¢Klû £1øð
K¡¢ 1¡¢ 1÷3K1RjLúÒ¡¢øðôL¾Kj 1jäùqARùL¡¢ elú¢ûeLK 1×1L
ð
l¡Ù
Lqj &l~
L¡ÒvÅáÅñqLK¡¢q IùÜL1Ñ×ð1úÙûqIóAõ
÷w¾¡¢ ÓÑ
lñqú¢£1K¡¢q vKûèKLK¡¢ 1÷ /KIùL¡Ò~ elú¢ûßvKL 1L
L'¡¢KLj? ï 1ñq~KK¡¢ 1=¾K'l¡ ?K~ wL¡ÙKIKú¢ú¢ûlû5L1
ÁqK¡¢ 1÷Å~K11Å£1LjüKÑL=¾üK1£1LK£1~I1Kj ¡ÝÁKqLj
ï 1 eKL6
K¡¢ 1÷ÓK Fò :Üö÷q¡¢ñq~1Ljl¡Ù
KKßée¡¢ w
ùjqLß
KLj
31Kl¡Ù
K¡¢q / ï 13¾ú¢úÒ¡¢'¾K3K Ñ 1K¾ú ð
¡ jüKÅKv
l¾÷qѾù
KK
1Ljl¡Ù
L¡Ò 1j ÷q~ 1ð
LqKl£1KjÁ¡¢ñqI6 1¡¢úoLé1 U61Kl¡Ù
K¡¢
£1 e¾1ú¢áL3 á lû5
KK
áKjl¡Ù
L¡¢q 1 ï 1×Kj
eÁqð
¡¢ 1÷6L11&5ò ;5ö(ú¢ú¢¡¢5
qLKjÁ1Ljl¡Ù
L¡Ò 1 /ú¢¡ qL11
: /1£1(1Kj ¡ÝÁKqLä¾K 1 L=¾lÓ 1ú¢ûÑKèK1I 1L l
Kv5L1û&vùK vKLLe &
e q v1Ljl¡Ù
LqKKv
÷q~áú¢LAKe¾ IqA q£vúvK
KK
1Kl¡Ù
K¡¢q ILj
¡¢ñÜ
ÁqKù ~Ke 6K¡Ò3L ?÷q ¾KqRKjÁ¡¢ñq3 1¡Ò6ú
K~=¾ùrqA£K¡¢ 1÷3Kjl¡Ù
Lq×K5vøùqL 5e~KK~áLe ¾ elß IeK¾K lK1RK
÷q'¾1vjLáLAùrqA ¾K
q & e v oáñ /KvK1
K¡¢ 1÷ÑK11l(eñq
¡¢vqL l×Kv
£1KL¡¢q 13¡¢
lñqú¢£1L¡Ò eLûlûl e¾¡Ù
&á÷l£1÷á÷ 1
KAveñl¡¢qolû¾÷w¾¡Ò ( l¡¢ 1÷R lKKlû
K£K lK?ñq~o¾ 1÷q,¾ù ¡¢ e ÑK¡ ,L÷q/ lKKlû
wLq£1Lj /¡Ò÷£1K~ 3¾ e R÷L1'
q lLq£1Loùrq,K1vL
÷q~ 1¾KK3Ke¾'ñqú¢ñq3ñ'ñqú¢£1L¡Ò eLûIK¡¢R¡¢
1ú¢
"wÛqðç"îWïS2îIÝx"Ü-Ý%"Ü
$
n·p"5î"
Ô1
z
J$
^!
[
;V
H
T
P
;
T
N!
V
$
32Ö
d[
)T
"
$
;V
5R
@U
PK
KL¾K÷¡Ò~ß÷l¡¢ 1K1¡ÙL2K1&qLq1¾1K¡¢ñqè÷q 1~LqL
qÁä¾ÜvqL l
?L £1 eÁIKe¾5 q5Kjl¡ÙLð
KKAvøùqL×qLKLe ¾ elq Fò Evl£I e R¡Ò ú ö
el~j /K1Le¾1¡¢q è÷q 1~LqLL1 ß¡¢ /¡Ò÷£1K 6L
ð
¡¢ñA
K-Ke¾?¡Ò vl¡ÙLA eq
Lú¢û'K¡Ò !ñqLK1~úÒ~K ¡ ùwL1
e¾úÒú¢¡¢KL¡Ù÷q~ 1¾KKܾK5LIe3ñl¡Ù1ú¢3' lL¡ºðK¡¢÷ eú¢ K KKI£1K× 1¡¢KRKq3K£
¡¢ l3£1 lAùA1÷q 1~¡Òû
¡¢K1¡¢ &L161Kj ¡ÝÁKqvq1£1úÙ¾K¡¢q o ï 1¡¢1÷q 1~¡ÒûѾlð
vjLáL5KñKv
K3L1K£1÷qK1RKûlKL ¾L1ALe I~ lð
K~' ¾KA
1L1'×e1£1úÙL¡Ò 1,ùô¾ú¢úe¡¢ lK
¡¢Á£1úÙ
e¾KK~K Ó¾ù=I£K£e¾úLe
¡Ùú¢¡ jL¡Ò vq
(l¡¢ ÁK3K
1ú¢
ðK
K
Ó
q lK
L /
K¡¢ 1÷ÑK11B ; Kú¢jÁK(ùq¾ ß¡¢LK÷£lð
úÙveñl¡¢q×Ke¾Kj¾K e1ú¢û¾1K£K3KÜ qK¡¢ ù,1K¾ð
K 1¡¢K ¡¢ 2K1Óó-õ ÷l /¡¢÷q£1L ü1Kñl¡ÙlÑ&
1ú¢
ù5veñl¡¢q(ùK_Åûl1¡Ùú÷ 1
LqI1L £e
jUlûüK1¡¢
K£ o ï 1¡¢veñl¡¢q(¡ÒIq1L¡ÒñIe£1L6¡Ò÷q£v¾ lKI
¡¢ 1¡¢6úo1Ljl¡Ù
K
qL ,K~÷w
lú¢Kùe¾5K1IKjl¡ÙLð
Kll K1Ko¾ù1Kvj
¡Ùú¢¡ j3K¡ j¾K¡¢q o elj 1¡¢ú¢
K÷ 1
KK5¡¢ /¡¢÷q£K K 1ÜqÁK£e¾úÒú¢ûù£1ú¢ú¢û¡¢LK÷£lð
úÙ ?K1~ûÓKÁqúÒ þ~ 1q£1÷&Kß~£1LKIeLKjl¡ÙLð
KK!ùK K1¡¢×K£1 6LI
K5 1ú¢û Ññq
÷'ù vLK
Kv Ñ
el#÷£1LK¡¢ 1÷Ñò
qLKjÁ51Kl¡Ù
K¡¢q vö 1LeR¡¢
KK÷q 1~LqLä¾KI 1j¾5qK¡¢¾úo¡¢KÅKLe
IKÑL1¡¢
ç²¹º¹º»
·jÀr¬¹º¼jªÜ½Ï Ú ê-±«¾»
¼j¹º²rĺ¹ºÃ5½·'²Èª»Lª
ĹºÀ½¾©q¹º½w¼²·(=ª½>À¼ê,«Ã3ª
ÂA»
¼j±~½²À¼ÆÙ¬q¼jo®/µ/¹º½q±»L²¾©Ü¹º»É,±À¼ª®ª
¬»
ÇqÀÖ®´ãÀK±~½ªK¯¯ 1 eL¾jl¡Ù
ú¢ûUKѾq eleq 1v lKe ñl¡¢qû ×le 1L¡¢1 11÷2G ¾; 2q61L ¡¢úL1LK&
÷wK¾~÷qû
ú¢qLjð el?
Àr¹Ò±
ÄĺÃI«ª²¾¹º»
ÀK±Ç¾ÄºªÜÇlª
©w±Á°¹º¼j
Ï
K£1 1ùqI
qL¡¢ 1÷&L11l:9 v<; AK~Kvj
K¡¢ñú¢ûw qK
÷q¾11L1ëLe÷ 1
Lq'veñl¡¢q×K~¡¢ 1
1K¡¢KL l
ñq3Kä
£1KLIùK1K£ ?×eñ ¡¢ e ¡Ý~K¡¢ ¾ù!¾ KA
q ï 13÷ 1
KK'
lñqú¢ñq¡¢LIL11 :K
K£11L¾ wL¡Ùú¢ú¢ûÓ1Ljl¡Ù
¾1ú¢ ¾ eUL÷q£1úÙ¾ ñl¡Ý e
j lû
K1
1¡Ùlú¢ûlLq1¡Ò ÷Áq lK£1K ï 1÷ 1
LqK
lñqú¢ñqj
¡ÒL3L11- ; q 3L1AqL1/e e jLá
1K¡Ùl
1ú¢ûRqL
¡ÒLK÷£1úÙRò£1 1Kj ¡ÝÁúÒö e¾áL15
q lLq£1L'lj
ú¢¡¢ 13÷q
ql£lð
ú¢ú¢ûä¾ e
1K£Ü(I£eLI÷qLjLñqú¢£1×ù,Ke
3¡Ò K1
÷q¾1o ï ¡Ò×
q lK
LA¡¢ Iq£1
qá¡¢,ù£1 e(ñq~ ¡¢ v¡¢KA¾ù
K£1 1LeL¾K'¡¢L¡Ùl lK¡Ù¾úo¡¢ 1¡¢K¡Ù¾ú1e1£1úÙL¡¢q 1
c
b
59;(>%9;m)C¾>%
d4
!
"
2K
xR
Y
WV
T
YU
#
Z
T
5L
%
N!
;V
n1
<),59A{1>%95m
k
Entropy
=R
1
0.8
0.6
0.4
0.2
0
0
NÚ
2
4
350
300
250
200
150
100
6
8
10
;V
NR
14
Z
UÖ
3Q2Ö
Generation
0
E
8T
50
12
;V
PK
Window Size
[
b
³
%!
5
Protean Evader
20
40
60
80
100
Time Step
120
140
160
180
繺·¬qªH ¨,빺»±ÁÄåoª
©l±
°¹º¼j×¼~Ʊܴã¼jÀª±~½ ת
½qª
K±À¼
Ï
200
Entropy
z²
1
0.8
0.6
0.4
0.2
0
0
200
150
100
2
4
8
10
12
14
Generation
0
Window Size
À®rç ¹º©w¹º·j·j±~½¾¬½¹DCwêAª»±±~? ½½qÀr²qĺÃ(¼»
¸¼j¸ÜrÏ ¹º¼½×·ÜªoK±~È»
²q¼ª
¬w¸3À±Á©q«Äĺ¼ÄºÃIª
²Aæ'²q@BÇlª
»Lª
>9Ä©w¹º½±
¹º°ê,½¹º¼ª
·5ÂÕ,ª
±~À½©wÀ²3±~½'¼jÆÙ«¼ÀÃ(o©l´?±»Àv¼ª
½®²ª
Àª¼¹º»
½R¬qÀr¹ºÇ½q®/÷5¹º½q®å/»
²¾¼j¹ºª
»ÁrÀ±~¹ºÀ½Àª
·ª
¸Üª
À©¼²='Ï
ï 1l¡ ?K v
e~á~ I
K¡¢ 1÷3L11lo¡¢/ ¡ºùrKLj
q£¡Ý lú¢û v¡ ù' 15¡¢l¡ÙKú¢ûl l¡¢ e
K1I¡¢ 1¡¢L¡Ý¾úá
el¡¢K¡¢q
KèK¡¢¡¢úÙò ס¢ elj á¡Ùl~ wL¡ÙúR¡ºù5×ß¡¢LeöI× l 1
Ke¾o×áeñA¡¢KúݾKj(K~úÒ
K¡¢q IKLK£1LKe¾LKoL¡Òð
1ú¢û5ùLq]1U÷wAL'ÁqK?lK÷£1úÙAveñl¡¢q-¡Ò-qL
q1¾1K¡¢ñqILß
qL¡¢ 1÷ßK B : Ke¾ Ó¡¢¡¢LK÷£1úÙ5veñð
¡Òj ï e¾'K~÷q£1úÙ3÷ 1
KK5£1ðÁqKI¡¢LK÷£1úÙ' 15lû
L11 :U¡¢ el¡Ù¾KALe-K¡¢1ú¢AKjl¡Ù
L¡¢q IKL¾K÷¡Ò~á eIú¢¡Ù
¡¢KÅùLq9L1Kjl¡Ù
Lqe1£1úÙL¡¢q $1Kl¡Ù
K¡¢q ³
S²
S
^F
Z
G
k
.8
" -)SîÜ
uö"øxøxÜîïÝîW}ö"ÜWÜÝî"Ü
5
50
6
I
ï 1 Ñvñq6LK£1ú¢LK£÷q÷q~KIKvIK×ð1úÙûq~äóAõ ùð
I£1úÙL¡¢q Ñ6ûvI1Lq1ú¢6K¡Ù(¡ ù=×I¡¢K&KÅlñq~úÒÓ qv lð e j6K,qÁqwó,¾KK¡Ù
£úݾKú¢û K1×ð1úÙûq~A÷w¾
ûUñKL¡Ò1ú¢¡ ùû&K1&
qú¢q÷û2lû2¡¢ eq £eLú¢û21úÙq
¡¢ 1÷
1KL¡¢ lK£e ÷q~ 1¾Kevñw¡¢j K'KK
ð1úÙûq~
óAõ ÷w¾ ,×ß6¡¢ l¾¡Ò &
qL¡¢ 1÷ÓK11J ;8KÓKqqL
1ú¢ 1¡¢ûÑ eèK¡¢úÒûÑ1ÑL1IùrK¡¢ elú¢ûÑKjl¡Ù
Lq5vKøð
1 ! qL1ñqlá¾ e(ùK¡¢ vlú¢û5eLK 1~áI£1L,K
1ú¢¡¢K
6
q lñ lK¡¢q Ѿù=veñl¡¢qRKe¾5ú¢ú¢'Ke¾KL 15L~ lð
K
¡¢ IKò
lq ¡Ò vK¡¢Leö,Kñqql~ 1£1A 1,K11KL¡Òú¢
1£1LK£1~j & v eILeAL1'L 1L¡Ò
LjLjlûIK1R 1jK
K6L I¡¢KÅòvKjl¡Ù
1ú¢5Lwö!K15vKL 131Lù£1 elú¢û
?j
L~ñqK¡¢ ßveñl¡¢q vRùLq 1K¡¢ 1÷q£¡ÒL1¡¢ 1÷jLj
vK¡¢K¡¢ AL1ßLK¡Ù ÷qú¢ÑùKúÙL¡¢q 1L1¡¢1÷¡ÒñL¡¢KÅK
I£eLÑqK3ú¢¡¢ñqú¢û6KûlLK lûl e¡ÝÁKe¾ ßL1qL5ù£1 eè¡¢ K1L e
(ù,ùK¡¢ vlú¢ûIeLK 1Lj
q lK
Lá¡¢K /¡¢÷q£1L 3¾ e /¡¢÷q£K 3L1AKv
÷q~ 1¾KÁqúÒ ¡¢û¡Ò 6L1L1K~
ðôúÝû3÷w¾'¡¢R 1q3
ú¢úáÁq 1L¡ÒLK lIñ5ñqú¢£1K¡¢ eLûÑK¡¢ e×L¾ &ñq
ú¢ú
2
T
S#
$
h
¯[
%j
|R
T
YR
ÔU
YKR
8T
2!
0
Ave. Predictor Fitness
Ave. Generator Fitness
100
80
60
40
2
4
6
20
8
10
12
14
Generation
0
0.6
0.4
0.2
Window Size
0
50
100
150
200
250
300
350
400
450
500
0
50
100
150
200
250
300
350
400
450
500
0.8
0.7
0.6
0.5
0.4
Best Generator Order
Entropy
1
0.8
0.6
0.4
0.2
0
0
1
0.8
15
10
5
¹ºç ½I¹º·j»¬¼¸3ªÜ«Í ĺª
æµ?¹ºÀr½ÃÀ¹º¼½q«²Ã'¹º»É,±~À¼jª
½®×À¼ÆÝ¬qª±~®vÀ¬qÆÙª
¼®A¸2¼~çqƬ¾±Ä½IÄ ±~±¸Ü¸3®×ªÏ K±~×»°ªª
Ï K±
ÄĹº½q»
ª±®ª 繺±~·¸Ü¬qªª5ÏqçÌÌ2¼j¸U´?¬qÀ½¼»
«'ÀÀ¬w¼±~ÀÇlª¼² ÀÀ¼j©¾¸¹ÆÙËÀ±Á®'°j¹ºª
½ K±~×·jªª½Clª
ÀK½q±ª
À®¼®o5¼~Æ1åoÆÙª
r©l¹ºª
±
½q°²¾¹º¼jĺÃÜ«¹º½ßª
粬¹º»Lį Ä
ÀÇl¼ª
o ® Àá«w±~·ª
À½q½qª
ª
K±®
ÀËq¼«-¬q¹º½®¬·ªª
,½qª
«K±ªÀr²¾¹º¼¹º»
½1ÀËv¼j¼®
°Ëwª±~-½qª²(°¼~·jĺª
¬q½qÀrª
¹º¼K±~½wÀ±~¼jî
ËlÀr¹º±¸3½²5ªÏ ¼j²ª
o¼~Æ
q
l5¡¢RqLK
1ú¢ûÑ6¡¢ l¡¢ 1Iñq~'KIq 1L5 eÑ £lð
¾K¡¢q ÅùvK¡¢1l5¾ù=÷ 1
K5K£v
L $e~K¡¢1l51L
KñqlL eþeLK 1L5KvKIIK¡¢ñqL
q lñ lK¡¢q 6ùrq
lq
l¡¢ eLj6veñl¡¢q ï 1¡¢ñq~Kû6K
1¡¢ú¢¡¢û¡¢e'¾ú¢úÒ
KI1qLK¡¢ú¢1£KK£KK6ñ lK£e¾úÒú¢ûÑú¢j¾K ÅK1Áq lñq lL¡Ò 1×ñq~j R e
L1¡¢,e1v 1 qL1×1K1K¡¢û5¾ùeK'
q lñq~ lð
K¡¢ Ñ¡¢Üú¢Kܾ e6÷ 1
K eK 1~K5LjqL1(¡ÒL3 eql¡¢ ï 1¡¢
çÀ¼j¹º·j®?¬À©lª5±"Ì À,! ±r¾¹º®àª,¹ÄÄÒÄ ±~áÀª
»
?»
¹º¬q½5¸Rª
¬°ÄÒ¼±~ĺÀr¬¹ºÀr¼j¹º½¼j½l¹º±½Ã(´?¬qÀr¹º¸Ü®¬ª×ª
±Ïeª,É,¸3©w±~¼j¸3ª-«·j¹º¼ª
½I½qª
«qK±Áª
Ĺº²¿
¹ºª»L² ¯ K~ el5LvIKq~ w31¡ÙLÅK1q
l5¾ùáK1IvL
±½²«lª
rÆÙ¼j¸]Çwª
ÀÀª
á±~·±Á¹º½q®À×À©qªR®ª
À¼~Æo»K©l±¸3«¾¹º¼j½·jª
½qª
K±~À¼j®
Ï ÷q1~¡¢÷q 1 ðô¾KlK5A¾v ej5
ú¢×ð3q£1
l 1Lo¾v1ú¢e vñl¡¢ùqLLj &¾ú¢K×KL£1 eLeLj¡Ò Á÷AKve¾,áK~1¡¢
¡¢ 1K
1¡¢ú¢¡¢û3¡Ò,q1¾1K¡¢ñávj¾£1K¡¢/ùq
AL1×á j ÓK¡¢ð
¡Ò v
Kj¾K&¡¢ eK q Ñ e lKLqlûw o¡¢÷£1K é÷q¾11 ¡¢úÙKú¢ûü l¡¢úÒú¢j A1Ljl¡Ù
K6e1£1úÙL¡Ò 1IKUl¡¢ñqL÷qÑ¡¢ 2¡Òú ð
K1ReøùqL¾ e
'¾ùoK15Le¾1¡¢q (1£1KL£1LùLqK1¡¢×K£1 ¡¢ûw ' v
'L£
¡¢ lKú¢ûIl¡ ÖL lK¡ÙLj K 1Uveñl¡¢q
ú
÷w¾¡¢ 1KRK1K(ù=Le¾1¡¢q 6÷ 1
KKù /¡¢÷q£K 1 &
wñ lK¡¢q &¾ &eù£1 eèKe¾5q úÒû6L1ùK¡¢ vlú¢ûÑeLK 1~
K
ú¢jLú¢û5Ke¾oL1á£1KL£1K×
Kj¾KjúÙ¾K,¡¢ 5ñqú¢£1K¡¢ eLû ¾ Ó1Ljl¡Ù
j 1 eL¡¢ éù'ñql
e¾KK
lq
l¡¢ eð
K¡¢¾KK5 w¡¢ú¢ú ù£1ú ï ä¾1¡¢úÒ¡¢L¡Ò~'ùK5ùL¡¢ elú¢ûÑ1L
ð K¡¢ Ll£1~K÷q~j
l¡Ù
KKú¢¡ q¡¢KR¡¢ e
KK ï l£1 lá3eñ'LjLq e¾1ú¢Ü¡¢ e ¡ºð
L¡Ò 1'¾ùá ß¾K×
e× &L1
le
L¡Ò ÷÷ lK K~Kï I113ú¢2KûlKL£1K#L£1l¡¢zûl e¾ v ¡Ù
~,ñqù,K¡¢K1 RKv1Le
ñlð1¡¢qúÙ ûq5L1l q6¡¢ IðKóAõ òñqlK vùL¡Ò~ elú¢ûvKL 1Lö vK131KK¡¢ú¢1£1LK£1~Kj ÷w¾ 1¡¢KLáv× Ñvq£1úÙK¡¢ 1á v¡Ò×1úÙûqñq×ñq¾ð
ý6KIûl1¡Ù¾úÒú¢û v1á~ñq ?K1K1L
ð1úÙûq(÷wKð ú¢£1K¡¢ eLûIK¡¢q ï ÜqKL¡¢úÒ31£KK£'vq1£úݾK¡¢q ¡¢ Leøð
l£e
×1£1 v
K£e¾KjK1¡ ùLA¡¢ ÷ 1
LqAveñl¡¢q ùK L¡Òð ¡¢ 1÷ 6L1veñl¡¢q
úá
lñq lK¡¢ &ùK1ñqql~ eÅvKøð
1ú¢IKß
1ú¢ & eÅe ¾÷w¡¢ ãL1Ke¾ &K1 1ð 1vq£1úÙK¡¢ 1j ï 5~v 1L1'ñql'¾ eeLK 1~elð
Kq ¡Ý¡Ò v
Kj¾KI¡¢ ß
1ú¢ 1¡¢û¡¢ e ¡Ý~K¡¢ñ5ù=¾ ßLRqÁq £1úÙL¡¢q 1I£1Kú¢KK¡¢
q lñq~ wL¡¢q o ÓL1¡¢e¾KL¡ÝÁ£1úÙ
elj o¡¢÷£1K ,£1LjüKß¾K÷q£ùrq5L161KL e
èù¾ K£ lK13LejÁ¡ ?'~¾e3KL¾K÷ûú¢l lAú¢¡ q'(ûwv'¾ùo1K¾ð
K3qÁvñq oú¢KèK1¾1K£15K~KKKI¡¢ &÷ 1
ð K Óveñl¡¢q3 &K1eL5ùK1÷q ¾Kqvq1£1úÙ¾K¡¢q Kq
1ú¢ 1¡¢ûw 2e¾á¡Ò÷loK1K¡¢ñq£1L¡¢úÒ¡¢û5¾ùoK1~K 1 K1Ñ£1KL£1vq£1úÙK¡¢ ~L1~ ÓL1Ñveñl¡¢q
ú
K£e1 ÓLe 1÷5v 3ùLq ¡ ?L l5K£1 &L£1÷q÷KL
wñ lK¡¢q eL15L¾K¡ÙLe¾ 1÷q~Ü¡¢ 6÷q~ 1¾KÜl~ÜLKñ
&lûleK1L¡¢j ï 1ÅK2KK&1ú¢K¡¢ /¡¢÷q£K Ñ÷¾1 K¡¢LúÒq3L1'1£KK£ ñqú¢£1K¡¢ eLû
q£KK ï 1'j¾Kú¢¡¢
K15ñq~÷'vq1£úݾK¡¢q vK 1L'¾ùK'ùrK¡¢ elú¢ûI1Ljl¡Ù
LqK KÁùK~ e
&KÓÁû ÁúÒ¡¢ 1÷&¡¢ U1K¾e
L¡ÒLÑ÷q~ 16K £1 v
Ñ¡¢
1qLK¡¢ú¢51Kl¡Ù
KK ?¾ e6÷q~ 1¾KK ãKLejÁK¡¢ñqú¢ûl j£K e¾KK¡Ù
£úݾKú¢û1K
ñq
÷q÷ 1
Lq eL 1Kñq¾ú¢£1á¾Kܾú¢qLAú¢=ûlá¾eñ
1 ~á l 1ÓLe,Ká÷ 1
KK×£1K£vú¢ú¢ûÜL£e
~jI¡¢ 56 ð e¾K&K¡Ù
'£úÝI¾K£1ú¢Lûñwv¡¢qñl¡¢¡Ù l5× q£1¾ q11ú¢×¾ùÖñL1 3Ke¾á
LðK1óA¡¢áõÑL£11 1KL l 1K' o
¡Ò ÷5K1~K~úÒñK1Ljl¡Ù
1ú¢3KK1RùL¡¢ elú¢ûeLK 1L RK1~L£1 16K#L1Ñ1Ljl¡Ù
K6e1£1úÙL¡Ò ÓLÓv
Ke¾ LÜL11KK¡¢ú¢×1£1KL£1Lj £1 L1'l÷K¾ùÖL1¡¢AL£eLð 1úÒ ,£1 eúÒIL Áq lñqL÷q6q lLÑK16veñl¡¢q
ú
q lñq~ lð
KRñqL¡Ò~'
q 1L¡Ùl¾1ú¢ûl£K¡¢ 1÷IKÜL£1 o
K¡¢ ܾù1K1A~ñqql, eRe¾KL 1ovq£1úÙK¡¢ 1 ¡¢ 3K1~KL
ï 1vqLK 1ú¢q-¡Ò /¡¢÷q£1L l1¡Ù
LáL1q
l×ù?K1 Le ÷qס¢ ÷ 1
Káveñl¡¢q× 1 qALÜK¡¢ú¢ûeL¡ÒK
eLá÷ 1
Lq×¡Ò IqLI÷q ¾K¡¢q o &K~'Kv×÷q 1~Lq KqKù×K11£1LK£1Lj ñKL1ú¢L /á5vú¢¡¢ñqKv'£1
S²
0
0
50
100
150
200
250
Generation
300
350
400
450
500
)ë
x³
l²
²
1
% Better than Random on Average
0.9
0.8
0.7
0.6
dk
0.5
0.4
0.3
0.2
0.1
0
5
³
10
15
20
25
30
Predictor
35
40
45
50
s
55
o[
´
$
oR
{
2s
ÔR
Y
Z
5L
"
$
H
;
!
÷7Y
T
5
Yh
T
j
T
ZR
_
¸
w[
;
2
T
!
,$
÷h
á¸e
w
_
R
{
a
d[
b
¯[
¾3
j
$
¯
8T
s
b
2
!
YR
2$
#
L11lqú¢q÷û¡¢ú¢ú?ú¢ú¢z£'KÁúݾK¡ ùûI£1=lû6
q lK¡¢ lð
£1¡¢ 1÷×q ¡¢Ke vðô£1¡¢úÒ× lñl¡¢Kq lK
KáE LßOABRJ?WKî'¦lHLOAB'¦
&L1Ke¾Ü£1KL£1ðñql¾ ßvL
ùqLI£1úÙLjÑ
q 1
ðKl¡¢~ 1K¡¢q vú ?K¡¢
ðôLK¡¢IKjl¡Ù
L¡¢q U÷w¾q lùrqK6ð
K¡¢q K1~qK~K¡Ù&Lwú¢Kñl¡Ùl £e¾ lK¡¢¾K¡¢ñq& e¾ú¢ûwLß¾ e
1ú¢&qv¾K¡¢q vú¢¡ L1l¾¡Ò / j¾£1KèK1úÒ¡¢ 1óAõ
÷wÓ1e¾K¡ UK2¡¢ lùqL¾K¡¢q e¾úòr¡¢ K1 KjL1 1¡Ù¾ú
K 1Ljö¾Kvj
Lù'£1KL£1¡¢ eéñqL¡Ò &e~eñl¡Ò ,¡¢¾lð
K£1LÜù£1 e~ w
ú?LejÁܾùÕ
I£1 ¡Ý~K¡¢ o
R£1e~eñl¡Ò¾úALK¡Ù
Iú¢K6ûl¡¢úÙÅ¡¢ lùqL¾K¡¢ñq5ñl¡¢
ù
lñqú¢£1K¡¢ eLûälûl e¾¡Ù
ï 1q£÷q×Ü~ ÁKj¾K3÷ql1
ñqql~Kz¾ e1£KK£K2¡¢LL¡¢1ú¢Ó~ñqqú¢£1L¡¢q 3× e e
Ke¾IK£eÁKøù£1ú5
lñqú¢£1K¡¢q Ull qI£1Lq¾K¡Ù¾úÒú¢û6ùrqú ð
úÒ5 £11Kú¢L¡¢3¡Ò 6
qL¡Ò ÷~K11KLKq ÷qú¢û¡¢ e£ e
K1
q£1
qù3K1èá¾ðô1úÙû÷l o 16L11&ú¢jlL
jl¡¢1
L¡Òûè1¡¢úÒK1qL1l v 1 üq1L¡¢ú,LK¾K÷û
ò1LqK &veñl¡¢qö3¾ eßÁúÒK(K1I×qLúÝã ï 1
I1¡¢ eð
K¡¢q 3ùe
vK¡¢L¡ÒñA e3
wñK÷ l,1KLK£1LA¾ù L1AL1KÁð
1úÙûqR÷w5¡¢3 1jlÅKÑñq¡ÝþK¡¢1ú¢5jl¡¢1
K(K¾1ú¢
ð
K¾KR1¡¢ú¢ q~1¡¢ 1÷ 6e 6×qLúÝã
ï lqú¢ ¡¢LÑKëLe¾
KL¡ Ó÷ 1
KÑveñl¡¢qß¾ e
e ewðô1£¡ÒúÙ1Ljl¡Ù
KK5¾ù w Ñe× ï 1¡¢'Lwú¢KRe
Kj
~ wLú¢ûÓv z¾£1÷q lKjÅLß¡¢ eÁúÒ£vl 1~ L11l5Le
ú¢ú¢&£1áL
1KLK£e
lûe v÷q 1~LqL¡ÒLIeLK¡Ù
£1úÙ¾
lKKlû
q lLq£1Lá e(KûlLK6K¡Ù¾ú¢úÒû3 e¾ú¢û ~áL1á÷ 1
ú ð
¡Òû5¾ e5v×Aù?ñqú¢ñqj1Kj ¡ÝÁKqLj R£1,ù£1L£1K×q 5¡¢ú¢ú
ùjL£1KIL1LKK 1¡ q£5¡¢ 6
lK¡¢ l£1jÅ¡¢ lñqLK¡¢÷w¾K¡¢q Ѿù
÷q 1~LqI
q1ú¢ 1¡¢û K16
q1£1¾K¡¢q vúAl6 el3÷ lð
¾KqLáúÝ
q 1Ljl¡Ù
KK 1 eL1'j¾K¡¢KI¡ÝLI1L
ð
l¡Ù
KK3ñqú¢ñq¾÷w¡¢ 1LK1~ß ï e vú,KL£1ú¢K3×5KvqL
K 1'ùr£1ú¢úÒû6£1 vlKLKl1& eþ¡Òú¢ú,K q£¡ÒLIK1~KIKlúÒ3L
ú¢£e
¡Ù1Lq
M E¤UJ1XB'OO NÓWK</Q </BA§1¦
ï 1£1L1qL÷¾K
ù£úÒú¢ûß w úÒl÷qIL16 lû61q£1L¾ù
q lñq~K¾K¡¢q Kv,eñq×
q lKL¡¢1£1KK'L1¡¢,á 51Lñl¡Ý j
wû 'úÙ úÙ¾¡Ò 1ýÑLûÿ×1 1ó,£1ú 3K× 1ó,¾1ú¢ £1 1
3K÷ K llû !ùAý6ú¢ 1¡ QPw¾Kq 1ú¢ õ,ú¢¡ jvK lúݾ
eeLK¡Ù
£1úÙLú¢û ¡ÙLe¾ Ó¾KLq o
z< <oP1</B'J?<o¦
á»Làª
ĺª°Ã¼SËĺ¬R!Àr¹º%ϼj½$Ïo¼Æ1±~»
½q¼² ¸ÜTl¸R¹ºÀ¬qÀ½¾¸5¹º»Á±~±~½1ÀrËA¹º¼È½1ÏAUÏ ØrTã½5Ï,³³å/ÌÁͼͼjÎà¶L®,Ï ±-½²ÄºÀÈI¬¹º±~®ª¸D®
˹ºÌÁ½ßÍÍ~ÀΩ¶Lª Ë
á๺«lý¾±¹º±»Á¸5·±~ª
Àr±¾®á¹ºËo¼Î(½µ,!WVÏo±~Î(½q±H²½Ï 0² ®ÀXK±~±~À½qª
ª
·àj¹ºª
¼®-,Ë ¹ºXR½Ïo±³½ÌÍj¹ºÀQÍ ª
?K¶L±~ÏÀª
µã²°jÀ¼~©qĺ¬qª
ÀrªL¹º¼¯«l½&ª
¼~®ÆÕ¼j»
½I¼·¸3±~¸'¸Ü¬ª¯ Ï
Øref½Y^ giTvh±j0½·jk5Àl(¼m(½1m(ËonWÉ×oËÏ «wR±~·jÏeª
±®R½²ÌÁQÛ !)¾Vw©Ì¹º¸3#Û H¾¼Ïe©wȱ~KØr±¨ÓËSXR´?Ï Ë1ª
®ª
®
²Ï ¹ºÀ¼®
ËOZ\[2]_^ `a"^cbQd
á½·j°ªL¹ºÄ¹º¼½q½qª¸3Ëá´vª
½qÏ Àp®'Ϫ
±°½¼² ĺ°ª3´v¼~ÇwĪ
ÄÒ±~ÀÀ»Kª
àlrË ®p¼~Ïqĺ¬qå-ÀrÏṺ¼³½qÌ®ÍjÍ~ÆÙ¼Îá¶LÏ »
¼É,¸3¼«¸3ĺª
«wæª
ÀrÀK¹º±~Àr®¹º°àª®
Ϫ
ؽ½ ¯
çf¼t(xWgWªh"®[À
huË xawϺhË1ª
t(²x¹ºÀ¼
hu,Ë xshu]_[^ctuaa2Zh2hwd v(y(^ct(xz[2yz^c]{|~t5\g}{K]Ï~Èh}¼j,^·gW±]~A½ WXx±~]_h"¬[wÆÙx¸5b(±~]½q^
t(½1xÏ bQd
á½·jתLĽ5¹º½qª
ª°j˼~´Öĺ¬qÏ%Àrp¹º¼ÏºË½w±~q±~ÃI¬q½q±
²Äº·ª
¼jr®
¹ºË À©R¸ Ï1ÈÀ©lϺ±Ë?À,±»
½¼j²Ñ½®´vÀ¼Ä¬qÄÒ»
±~À»K®Aàl˪
p»
Ïl¬qåAÏ/ª
½³ÌÁÀ,ͽqÍ~ª
ά¶L¯ Ï
$
é
;V
b
;V
s
F
{[
5f
!
[
0
8T
;V
SV
5s
T
S
[
0Ä
\H
`
b
6v
Ss
;"
nX
e
Y#
Y$
ZÙ
´
N´
´
5²
³
´
^³
´
"³
´
Z²
-R
;V
dF5
KÛ(±
ÛÄ'Îu½V¾ªÚÀrÛ¾Â,Ï ¼jà®
Ïw,[b(x{ib(a"]_^ct(x{t(xB|hu[bQd|hu]_ft([Q{LË
å/¼¼jàje®
ÏwËAÈêרr¨zÏ '´ãÏo±~ª
½q®®
²&Ï ÈI±ª
®
Ë´ÖϺË?ª
²¹ºÀ¼®³ÌÍjÍ~ζLÏZr[w]_^ `Sau^
bQdfef^ gWh
É/ĹÊ?ÈË ªÁR±~Ïo®¬q±~½q¸3²Ñª
½È(À®,¹Äĺ¼ª
Æ?
Ë ±²lR±Ï1«ç/Àr¹ºÏo°jª×³Ì«qÍjͼ۷j¶LϪ
®¨?®/K¹º½5±»L»
à¼~¹º½q¯ª
·6°j¼~Àĺ©q¬qª(Àr¹º¼ª½w²6±~Þì®rª¹ºª
¸Rq½ ¯
¬ÄÒt(±~xWÀr¹ºgW¼jh"½[®
h"Ï#
Ør½ÓȼjK±~½1Ë'ç/ÏAª
ÀA±
ÄÙÏ Ëáª
²¹ºÀ¼®
Ë~^c[v[twh2b(x
xa2ht(xZr[w]_^ `a"^cbQdef^ gihÁË=«l±·ª
® #!Q!WV ¾)Ì H¾Ï «r¹º½q·ª
É/ĹÊ?o±Ë½ª
²IR!rÄұϪ·°±Ï ±½®r² ¹º¼½ È((¹Äĺª
¹ºË ¸'R¬¾ÄÒÏw±ç/Àr¹ºÏA¼½6³Ì¸3ÍjͪÚjÀ¶L©ÏÓ¼²qÉ,®á¼~±~¯½qª
°²¼Äº¬ª
®Àr¬¹º¼jĺ½&À®
Ï,¼~Æ=ؽ«¬q³ÈI®±~¬¾ª¹ºÀ®
É,¬ªÀKÀ±À×»KÀr©(±
¹ºCl¼ÄÙϽ1ªLËeĺË1²1̲ËÍjÃÍp½wÚÏq¶L±~´vËw¸'Ï?«l¹º³±»
ÌÁ·®
ÍË?ª
Í~®=±Î½QÛ ¶L²5!jÏ×)Ú ¹º¨AVq½Û©q²q̪R¬qÛ»
»ÁÏ Àr±Á¹º¼Äº»
½1¬}Ï Ä¹As¼~~Æouª{i¸3^ca2ª
b}·×ªË ½?j»
Ûª#º?ÌÉ,wÌ V¾¼Û~¸ÜÎq«Ï ¬¯
RÕ¹ã´?±~¼Äº¼ËwµÕÏ RÏl³ÌÁÍ#Í ?¶LÏ ¼»L¹Ò±ÁÄÖ»
¼¼²¹º½w±~Àr¹º¼½±~½q²5®«l±Àr¹Ò±ÁÄÖ¼·±
¯
½Ø½ ¹º¿$A±Àr¬¹º¼®½%Çw±~½q²À®
ª
Ëe«q®R´vÏwÀ¼±~ÂA½q² ±$á²®±~À°j©qª
ª3ÃËqª
ØL°jϺ¼~Ëqĺª
¬q²¾Àr¹º¹º¼À¼j½Ñ®
¼~.Ë ÆÕ%»
t(¼¸3[2]¸'~¬q½¾¹º»[±twÀr¹º¼h2b(½1x Ï
ת
¸'·j¼t(¬qxW½¾ÃgW¹º»h"ȱ[h"ÀrÏ ¹ºx¼a2½±hr¬®t(½q»Lx²©qªª
Zr¸3®
[wË.ª]_^ ®×`pϼa"å-°^cbQª
Ï1d´vef»
Ïl^¼gW³½h
ÌÁÀrË͹º«w½Í±~¬qÚj·j¼¶Lª
Ï?¬q®×®¨AλL©Ú~©wªá"Î ±~Vª
½q(ΰ½w¼?#±~ĺ¾Ï¬ªLĺÀr®
ȹºÏA¼j½IØrبz½¼~Æe´ã³ÈI»
¼jª
±~¸R®ª®
®¯ Ï
ªÀ×±
ÄÙÏ ËeÌÍjÍÚ¶LËw«l±·ª
®=QÛ H#!)Vq#Û HÍÏ
$×±¸R¹ÄºÀ¼½1ËoâüÏR!ÏºË ×æªLĺ¼²1Ëoê×Ï Ëe±½²¨o±~½qª
®ªËÖê=Ï?³ÌÁÍÍ#!¶LÏ ª
æ¯
¬wª±Á°ÄṺª
击
«q¶LÏ ¼sS²q¬[t"»
a"Àr¹º.¼jr½Ób(±~]cd®5Z±½Ña2b(±~v(²wq±~ U«qauÀK^
±~¢Àr¹º¡.¼j ½&Z!ÀË ¼H#?ª Û®r¹º®ÚjÀ3)Ú V«lÛ±QK±~?#®r¾Ï¹ºÀª
®I³±
$×±¸3¸R¹º½q·ËÕê=ÏwâüÏA³ÌÍ#HQ!j¶LÏft"v(^cx(yb(xvWxWgWt([2-b(]^
t(x~h2t([wÏ
´?ª
½Àr¹º»
ªK5¯ $á±ÁÄÄÙËeØr½q»ÏºË1µ?½·Äºª
Â,¼¼²É/ĹÊ1®
Ëe\Ð pÏ
$×±®©¾¹º¸Ü¼À¼Ë¨Ï,±½²ßØràjª
·±¸R¹ÙËo¨!ÏA³ÌÁÍÍÚj¶LÏßµã¸Üª
·ª
½q»
ªI¼Æ½qª
Àr¯
·jÌKα~Ï ¸3¸±~,¹º½5»
¼¸3¸'¬q½¾¹º»±Àr¹º½·ä±~·jª
½À®
Ï£^ctQ %"{W]_h"\{KË#QH³Ì¶wºÌwV
Ør®K±j±~ÐA»
®
ª
Ë Â¥ê×+/Ïl¼j³ÌàlÍjÚÏ Û¶LÏ r^ ¤h"[h"x]_^cbQd%b(-h){K,Ï p¼©q½âè¹ÄºªÃI±~½q² ¾¼j½®
Ë
X±~½qª
àj¼Ë XRÏe±~½q² ¬¿¬à¹ÙË pÏ?³ÌÁÍÍζLÏܵã°j¼~ĺ¬qÀr¹º¼½ÑÀ¼5À©ªÜª
²·jª3¼~Æ
»KZr©w[2±~]_¼^ `®3a"¹º^c½ bQd±~e½6^ gW¹ºh¸R5¹º5ÀK}±~Àrk5¹ºl(¼jm(½&mQ¦"·o±Ë¸3«wª±~ÏÑ·jª
®×Ør0½ Îz)VTeq±~Û½qÎ·Ï À×¼½1²q˲¾¹ºÉ×®¼jÏ ½¾R¯âϺË?ª
ª
®r²Äºª
¹ºÀüÏ
Ë
X×¼¿Á±¾.Ë pÏ1³ÌÁÍÍ j¶LÏ h"xh"]_^ca¢sS[t2y([b(--^cx(yÏoÈØr¨Ó´?ª
®®
Ï
Tv±½·jÀ¼½1ËeÉ×Ï RÏw±½² ¾©¹º¸3¼©w±~K±fË XRϺ˪
²¹ºÀ¼®'³ÌÍjQÍ ?¶L§Ï Zr[w]_^ `a"^cbQd
ÈI±~ªÈe®
^ËlgWبU´vhÏjj´?ª
ÀAk¨ª
±
l(®ÄÙm(®
Ï ËÏm(ªnW²¾oϹºÀȼjØ®!¨Ó³ÌÁ´ãÍÍjªÚ®¶L®
ÏÏ %[t(JZrx^c-bQdD{S]tZrx^c-b(]c{fjeÏ
È(¹Äĺ½wª
±~
¸'Ë R¹º»3Ïl·ç/±Ïã¸3±~ª
½qW® ²Å ×É/Ä·j¹Ê?¬ËO¸ÜR!ª
½Ï,À³®-ÌÁÆÙͼjÍ~AζLÀÏ©ª'´?»
¼~¼¯Àª
ª°j±¼~½èĺ¬qÇwÀr¹ºª
¼©l½6±
°¼¹ºÆ,¼j«q¬q¹º½Ñ®¬¾²q¹ºÃÀr¯¯
ª]_t°±Z\®r¹ºx¼½6^c}ÀKb(±]c»
{,Àr¹º5»
5®
LÏáËq«wØr½ä±~·jɪ
®×ĹÊÖÎqfËÌÌwRVÏlÎ #ª
!¾ÀáÏe±ÁÈÄÙϺË1Ør¨Óª
²¹º´?À¼ª
®®
®
fË Ï %[t(©Zrx^
}bQdD{
-Ĺº«q·j©lª
±½q½»
À
ªRËo¼ÈÆo»
Ïe¼±~¼½q²6²¹ºå½w±~±~ÀÀKª
±Á²Ä¹Ù,Ë »
¼p¸ÜÏ?³¸RÌÍj¬qͽ¾Új¹º»Á¶L±~rÏ ÀrT1¹º¼ª½1±~ªÏ ½kF¹º %½·«"±}½^
²]]_h2ÀvW©qo~ªRÏ ª
¸Üª
r¯
´v¼~ÄÄÒ¼±ÆÜ»Làl±ËÇwp±~Ïw»Kå-àϺ·Ëe±åã¸3ÄÒ¸3±Á¹º
¼jË ½&R«¾ÏºÄÒËe±
±~ýqª²
Ï&TvØr±½Ó½²1³ Ë?Tvȱ~½qÏ?·À³¼jÌÁ½&ÍÍ#?±¶L½Ï² É,¾¼©ª
¹º¸3°¼¼Äº¬©wÀr±~¹ºK¼j±½ Ë
ê,ª
üÌÁ½qÆoͼ~#Í ÀKĺ²q?±~¶L®
·qÏË1Ï/Éר½Ïl³³Ìå/ÍjÍ~¼Î¼j¶LàÏo®É,±¼½¸3²«lÈIªÀr±¹ºÀrª
¹º®
¼Ëv½1ÌÁËlÍ»
Í~¼Îª
¶L°jËl¼~«wĺ¬q±~Àr·j¹ºª
¼®½Ûj±)Í ½Vq²3Új;ÀÏ©qª×·±~¸3ª
˻
ªL±Äº½®
,˲ T?Ï/©³¹º¸3ÌÁͼQÍ ©w?j±~¶LKÏ ±Ë/ªLÌÁÄÍÆ¢¯ÍQ¼?j¶L·Ël±~«w½±~¹º®r·j¹ºª
½l®R·6Ì)°jÚ¼)»Vw±~Ì
ÇqÎq¬¾ÌÄÒÏ ±r¹ºª
®
ÏIØ½è³ Te±~½q·À¼½
âª
½½¹ºª»
±Ë Àr¹ºR¼½ÅÏwȹº½ßϱ±~½Àr² D¹ CwR-»L¹ÒÃj±Áª
Äá
˼jÈ·Ï ±~½R¹º®Ïq¸3³Ì®
ÍjÏ;ÌÁØr¶L½ Ï,Teµ?±~°½q¼·Äº¬ÀÀr¼¹º½1¼j˽É×¼Æ1Ï Ëe»
¨o¼¸Ü±
øRĺ¼¬
¯ Ë
É×5ϺËwk¨çll(m(±~m(¸3¬WoªËj
«lËq±p·Ïºª
Ëq®=±½Ú²äÛWÍ ê-Vq#Ú±HQ®¸R?¾Ï ¬qá®®²ª
²½1¹ºË ®¼½ÏºËq¯âª
²ª¹ºÀ®rĺ¼ª
î
Ï Ë%Zr[2]_^ `a"^cbQdef^ gWh
l©¬OË $!Ï1±½®² X-¹º½¿
ªKÄÙË?âüÏ?³ÌÁÍQÍ ?j¶LÏ ×½Àr¹¯«ª²¾¹º»
ÀK±Ç¾ÄºªI®ªÞ¬ª
½q»
ª
W®
$á±~²qª
×À¼Ü«ª
²¹º»
ÀáÀ©l±½I±RK±½²q¼¸ ®ª
Þ¬qª
½»ªÏ-k %«u-^c]_]_hwvWoÏ
5´
@²
Gê
ê
&³
M²
zê 5³
S´
³
³
²
S³
^´
P³
P³
¸³
5²
S´
ê
5²
-³
@²
´
ê
ë
|´
é³
³
³
z³
²
5²
^³
´
0´
© Copyright 2026 Paperzz