! #"%$'&(*),+.-(/10243'3*3!56+."7&8&
:9<;=?> @!BA?> CEDF4GHCJIKFHLDM;HCEDDF*DN
OQPRTSVUXWYSZK[]\_^a`bSVcedVU%ce[ \gfhSVZjik^almZn1RYZpo1S
qsrptvuxwytXz'{*|~}p{*'.t tXKwyz4t%ygLypt%ze%tXp%t
.tXz'{*.~yarptXz'bt%pwyz'| _XtptXz'{'
yy
t%p{*tk¡tXpwyz'| ¢p{4£Kq7¤ ¥¥
y
K¦§
t%¨.{'tX¡©.:ª«{
:ª
| |Tw6ezwy|,¬©X{%ªz'.%tyªt
®Q¯£°±!²%³,´µ±
¶·6¸º¹(»Y¼»Y½4¾K»¾¿½H¹H½4ÀTÁ.¹J¼ÂÀ¼Âà ÄXž¸ÆÁÆ·µÇÉÈ·µ¸ÊË·½ËÌXÁ¬½4Ày͹ÁÆ·T½
»¾¿Å!μ!Î4¸ÆÃ#¸º¹Á¸Ê1¾¿Å'¼!ÍÂÇ7¼»ÐÏÒÑ¡ÓJÔ7ÕeÖ¾¿¼Çs½HÈ(ž¿×JÁ8Å£·T¼Ày͵ë½:Çs¼Ø
ÀÙ¸ »yڵë¼ÂÁ.¸ÅÂÀL»yë¼ÂÀTÀT¸ÆÀ6ÄXÛs¶·6¸º¹a¸º¹aÍXÅÀ½EÎHÜLÚ6¹¸ÆÀ%Ä_¼LÁÈ(Åë½4ݽ4Ã
¼»!»y¾ËÅ*¼XÊË·6ÞQ¼ÑKÓaÔßÅVÖÐÑKÓJÔ¹4ÛභT½á(¾¹Áë½4ݽ4ÃLÎ4Úµ¸Æë͹
¼âÇs¼ÀÙ¸ »yڵë¼ÂÁ.¸ÅÂÀxÄ!¾¿¼Ë»T·%ÞÈ·YŹ4½ÀyÅ'Í!½H¹v¾¿½8»y¾¿½H¹4½HÀÙÁs¹Á¬¼XÎHÃã½
»Ã«¼!ʽ4Ç7½4ÀTÁ.¹LÅÖBÁÆ·T½Ç7¼ÂÀT¸ »yÚµÃã¼Á8½ËÍÅXÎÒä4½Ê4Á¹BÈ·µ¸Æë½LÁÒ·Y½s½Í4Ä%½¹
¾¿½8»y¾Ë½¹4½4ÀTÁÁ.¾¿¼ÂÀY¹ÒÖH½4¾å¼ÀÍgÁ¾¿¼ÀT¹¸ÆÁK¼!Ê4Á¸ÅÀY¹4Û7¶·Y½g¼!Ê4ÁÚT¼ÃYÇsÅØ
Á¸ÅÀa»Ã«¼ÀÙÀT¸ÆÀ6Ä(ÖHž1ÁÆ·T½Á¾¿¼ÀT¹ÒÖH½H¾¼ÀÍgÁ¾¿¼ÀT¹¸ÆÁ6»Y¼ÂÁÆ·6¹1¸º¹ÍXÅÀ½
Î4ÜÑKÓaÔæ»yë¼ÂÀTÀy½4¾¹¦¼ÂÁJÁÒ·Y½¹4½ÊÅÀyÍvë½4ݽHëÛ綷Y½¼»!»¾¿Å*¼XÊË·
¸º¹LÇ7¼XÍ!½å»TŹ¹¸ÎHÃã½Î4ÜÁÒ·Y½7¸ÆÀÙÁ.¾ËÅ*ÍÂÚTÊHÁ¸ÅÀÅÖs¼¦À½HÈ~׸ÆÀÍÅÖ
¾¿Å'¼!ÍÂÇ7¼»ÙÞʼÃÆÃã½ËÍJÁÒ·Y½ÖÚXèè4ܾ¿Å'¼!ÍÂÇ7¼»Û7¶·Y½ÖÚXèè4ܾ¿Å'¼!ÍÂÇ7¼»
ÊÅÀÙÁ¬¼Â¸ÆÀY¹½Í4Ä%½¹:È·6¸Ê·_¼Â¾¿½1ÀÅÁeݽ4¾¸ áé½ÍEÎ4Üg¼gëÅ*ʼÂûyë¼ÂÀTÀ½H¾
ÍÂÚµ¾¸ÆÀ%ÄÊÅÀT¹Á.¾ÚTÊ4Á.¸ÅÂÀyÛLêÀT¹Á8½¼!ÍÞ½¼XÊË·k½Í4Ä%½s¸º¹s¼¹¹¸ÄÂÀ½Í¼
ÀÙÚµÇ7ν4¾gÈ·6¸Ê·v¾¿½¬»¾¿½H¹H½4ÀTÁ.¹gÁÆ·T½»y¾¿ÅXÎ˼XÎH¸ÆøÆÁ.ÜÁÒ·Y¼Á:¸ÆÁ:¸º¹(ÖH½¼Ø
¹¸Î4ë½*Ûìëe¼ÂÁ¬½4¾Þ_¸ ÖvÁÆ·T½½ËÍ*ÄX½¸º¹s»Y¼Â¾ÁÅÖk¼¹4ÅÃ#ÚµÁ¸ÅÀ»T¼ÁÒ·%Þ
ÁÒ·Y½½ËÍ*ÄX½E¸º¹gÊ·Y½Ê×!½ÍÖHžEÊÅÃÆÃ#¸º¹¸ÅÀT¹4Û¶·Y½BÅÂݽ4¾¿¼ÂÃÆý.í½ÊHÁ¡¸º¹
ÁÒ·Y¼ÂÁ(ÅÚµ¾¾¿Å'¼!ÍÂÇ7¼»Ù¹E½HÝÅÃݽa¸ÆÁ8½4¾¿¼Á¸Æݽ4Ã#ÜLÚµÀTÁ¸ÆÃTÁÒ·Y½4ÜLÊÅÀÙÁ¬¼Â¸ÆÀ
¼¹4ÅÃ#ÚµÁ¸ÅÀÛî¶y·T½Ú6¹H½¦ÅÖÖÚXèËè4ܾ¿Å'¼!ÍÂÇ7¼»Ù¹¸ÆÀïÎÅÁÒ·kë½4ݽ4Ãð¹
ÅVÖÅÚµ¾BÇ7¼ÂÀT¸ »yÚµÃã¼Á¸ÅÀ¦»yÃã¼ÀTÀ½H¾LÅí½4¾¹BÇs¼ÀTܦ¼!ÍݼÀÙÁ¬¼*ÄX½H¹4Û
ñ
Á:ÁÒ·Y½£á¡¾¹Á:ë½4ݽ4ÃðÞ¼åÖÚXèè4ܾËÅ*¼XÍÇs¼Ë»¾¿½8»y¾¿½H¹4½HÀÙÁ¹EÁÒ·Y½Çs¼Ø
ÀÙ¸ »yڵë¼ÂÁ.¸ÅÂÀÄ!¾¿¼»Y·k¼Àͼ!Í!;¿½H¹Ë¹4½H¹ÁÒ·Y½»¾¿Å!Î4ë½4ÇòÅÖa·Y¼Ý'¸ÆÀ%Ä
»¾¿Å!μ!Î4¸ÆÃ#¸º¹Á¸Ê˼ÂÃÆÃ#ÜÊËÅÂǻë½4Á¬½1»yë¼ÂÀTÀ½H¾¹B¼ÁéÁÆ·T½a¹4½ÊÅÀyÍ_ë½4ݽ4ëÛ
ñ
Á:ÁÒ·Y½B¹4½ËÊÅÂÀyÍë½4ݽ4ÃðÞÖÚXèËè4ܾ¿Å*¼XÍÇs¼Ë»y¹7;˼¹Á.¸Ê¼ÂÃÆÃ#ܾ¿½ÍÚTʽ
ÁÒ·Y½vÀTÚµÇsνH¾QÅÖvÊÅÂÃÆÃ#¸º¹¸ÅÀjÊ·Y½ÊË×¹4Ûó¶y·T½»Y¼»Y½4¾QÊÅÂÀTÁ8¼¸ÆÀY¹
½ËÌH»Y½4¾¸ÆÇ7½4ÀTÁ8¼Ãp¾¿½H¹ÚµÃ#Á.¹LÍ!½4Ç7ÅÂÀY¹Á¾¿¼Á¸ÆÀ%ÄÁÒ·Y½ÖH½Ë¼¹¸ÎH¸ÆÃ#¸ÆÁÜмÀÍ
½.ôâÊ4¸½4ÀyÊ4ÜÅÖBÅÂÚµ¾J¹HÊ·Y½4Çs½*Û
õ ö
[éWµRY÷1høåùyWµSV÷([
úaûüÙýþ.ÿ
¦ÿ
ü
¶·Y½KÄ%½4Ày½4¾¿¼Ã%Ç7¼ÂÀT¸ »ÚµÃ«¼Á¸ÅÀå»yÃã¼ÀTØ
ÀÙ¸ÆÀ%Ä廾¿Å!Î4ë½4Ç
!"#$&%#%#%#')(*+,+*.- */01&2
%##3#$!/%4'05*!6!-#7*.-89:;/<01*%#'=/!/:>*-4=/.:;?<@A#
'.*.&$7/*B-#+/%#'C/#D01*!6!&-#*-#89:EFG(+/*0HC'.6.I%J=/&+
:I*%K4'.3#+F!*%L*MN'.6.I%O'*&>:I*%K4'.3#+F!*%P?@A#Q*.-2
89:E/R&+/S*.%#T"&-#C*101*!6U#I%V/#ITV&+/S'.+/.="-WT
1+/*-*&?XS-89:EFD#$:FMJ&+/B%#*&S'+F 0Y349S- 5!
Q=/-#B *=*%Z.? ' ?[ +9/%#'Q'.%4=4\*-4=/.:;*.+
*#+U=/-#5*-#89:EFI?B]4*+BQ01*+/Y#;/L/:;+/*%
*(^/#B0J&%##3#$!/*.%"#$&%4%#%4'54+*.-#0IQ_ `bac?
@A#*3*%Y*U/#A01%##3#$!*%5#$&%#%4%#'C#+/*-40
4.14Z(*+/0d*(\
ïÇ7¼ÂÀT¸ »yÚµÃã¼Á¸ÅÀ»Y¼ÂÁÆ·
e#$:Ff"g=I2
h
3#%4:;\*(
Á.¾Ë¼ÀY¹¸ÆÁ
D%4
Á¾¿¼ÀT¹ÆÖH½4¾1»T¼ÁÒ·%¹
E?Uij+F&% 9(+R4&
$Qg3#-#4&k*(S/#l'.*.-4&#$&%k4I+/N#L*-89:EQ$
'.+/.=N&% N05*!6.V-WT/#)+/*-*&?im+F&%4R4!/ZS
3#-#4&n#+Q#V*-89:E)$\;(o1%pM=/&-4Q*.*%
#D4S+/*-*&:F &%#'.>'.+/.=P?q'+F#%#'B*I+F!/*.%4
+A#$&%#%4J&3#*0J&$:I&T)-WT5C0J%#43#&*%J#$&%4%#I+?
r;gs
(üTû
bt#^u
Xÿ
vM%#43#&*%j#$&%4%#%4'k4l+=$9/
IwJ:I%C*3*% S*Q(x+?C@A#$S$U%#*&B3#+4+$=%#'Q'.6.I%
/#":I*01#;yz9T{*&(A/#"01# !n4%#%#%#'l#+/*-40
_|}a&%4S4~##z/*.%4&#zwQ:;34z/<05*.U-WTD/#>#$&%#2
%#%#'1*&(G'+F#%#'1&%4V+/I'+F#%#'5*I+F!*% I?G%N% 34=2
/+$&~=3 \0J&%4#34&*%n$C(+
h
3#I%T{'.%#*+/?N]#*.+
Iy01#.[4%M/=0)-#T0J%/% &-#9T"=3 I[*-#89:EF
+Z/3#01f:I4&-#N*&(C01*!6%#'O-WTg/#I0JI6RQ$
:I*01#3F!*% &Tf%(.=-#l/*f:I*%4$I+V- *#O*.-2
89:E/B%4Z/#5*W*$E!&+/0JR%4I#l*N0J&%##3#$!/Y/#I0
4l:;3#+/+/I%Q9F!I2c*(o2/#;2&+J0J&%##3#$!/*.%4%2
%#%#' ?k#*.3U#*3#-U1+$&-#B0J&%##3#$!/*.%Z#$&%#%#+
+01~(3#+4I+>/=%#'\*(;/3#4&%41#+/*34:;/~%4
/#\I6.I*#01%.*(^+/&$9/:C0Y3#&*%4,(*.+% 34=+/
;%#'.?"R*!6I&##$:I!/*.%n*0J&%4\34:Fg.\=34+'.:&
0Y3#$!*% ^%4)%#0J&*%)W*R-I%4;K#G(+/*0S01&2
%##3#$!/*.%"4%#%#I+\_||;ac?
ÿ%þ
t
*ÿ
WH
jüÙû
S+%.J&'*.+401Y=*.6W%#'l6!+2
&*%4U*&(#J'.I%#+/G01%##3#$!*%{#$&%#%4%#'N#+/*-40
4b6.Z- I%k#+/**.f%f4lz/I+F!34+.?m@A4L*3*%
*(,C*'"%4{P!/*0Y- Z_|[>|.|Ea>$C*VK4+F9B#$&%nV4&
(*.+#)*-89:E[&%4V/#I%NK %4MJ
h
3#I% :;B*&(>:I*%#%#:E/
/+/%49(+%41+F&% =4&4[4&,0J/#S*.-89:;~/+/.:;
/#R4!/<?AiD%#*#+D01;4*WN4+*. *="-WTV]#I+/-4.:FN%4
A&+/+F
h
34&% p_a$\-4.={*%O6!&+/&*%4>TW%4&01$:1#+*2
'.+/0501%#'4?<@A4&3##*.+/K +/=<#$&%\0J&%4#34&*%B4&
%#n3#% :;*% 9/+/%#m:;*01*.z/n:;*%#K4'3#+F!/*.%4.:;
*(/#Q+/*-*&/)&%4{*-#89:EFI?V@A#I%O/#IT{I+F!/6.ITMI%#2
(*.+/:IN#M0J%#43#&*%e:I*%4=+F&%/1-WT0J%#'g0J&
I+3#+/-4&*%4N/*k4p4&j/*e01%#01k'.+/.34T
01*+/Z&%401*+/Z9/+$:EQI% &9Tp(3#% :E*%P[,34%./R#NK42
%4^ !LC:I*$=*%M(+5%4M01II/S4Y0J&%4#34&*%
:I*%4=+F&%/? iDW34:;%<[
3#Ff&%4vM&I+O_ }!a\4b6
#+/**.{V01;4*WL(*.+B01%##3#$!*%{#$&%#%4%#'Z4:F
$B&%L;yW%4=*%L*&(#
ñ
;¸¼!ÍÂÀy½
¹
Ãã½HÈ
ñ
à Ä%ž¸ÆÁÒ·6Ç
_
ba
-4.=f*%k'.I%#I$:Z&'*+/#0J?miR01[D^&3#01*% k&%4
01I*.%P_ `!a4+=%./JY:;&+,&%4Q'I%4I+F& #/:;+//*.%J*&(
/#Y0J%#43#&*%M4%#%#%#'#+/*-40V?U@A#ITN'b6\*32
/*.%4B(*.+\- *n/#:Q*&(D$:I+IJ#$:II01I%F\*&(A/#
*.-89:;A%4J/#B:IU*&(^%%K4%#B;A*&(^'.+/.= I?%Q/#
:*&(U/:;+/;/"4.:;I01%.F5*&(D/#"*.-89:;[~#V-#3#2
%#'Q*(7#Y01%##3#$!*%Z'.+/#N;:;6ITN:I*01 *=
/#D#+/*-#I0 %./*\\;~*(*%=2c*&2 *%.4!/J#%#%#%#'
#+/*-401?
ÿ%û
ÿ
ü
û
Qss
ûü
t#u
%J*+F+7*5/:;+/-
*.3#+G*.+C,~K4+F=G'.6.,
h
3#$:FB*!6I+/6Wn*&(
qDv _
[|
!a ?
qDv -#3#4lk+/*..0J&*&(J%#*l%m/#p:I*%K4'.3#+F!2
/*.%p= :;
~2= :;
B*(#V+*.- *?{@P*{:;*% 9/+34:;)/#
+/*..0J&<["%340)-I+B*&(+/%4*0 :I*%K '3#+F!/*.%4R+1=I2
:;)%Y4(+/I
~2=4.:;,&%4Y&+/~34Y%#*?
*.
%#*J&+//=p(*.+Q:;*.%#%#:;*%z/*:I#%#%#+/?
:FO01VL*W:&,#$&%#%#+Y34:I:II#I[G/#N:;*+/+/ *.%4W2
%#'p'{$%4I+e% #{+*0J<? @A4"+/%4*.0
IyW4*.+/&*%N*&(G4
~2=4.:;B$D*(oI%L:I:I*014%#V-TN
#3#+/=$:54&Y4#\Iy/+/V%#*\%
"!
wQ:;3#
$#
N+/I'.*.%4
*(,/#
%
~24:I[^*l01#+/*!614Q +=(*.+0J%4:;Q%p:
#+,/#R*3*%54!/1'*W/#+*.3#'1%4++/*!g4./&'.
_
4[
&
[,|
'
!a ?l%4#6W$34&,#$&%#%4%#'
h
3#I+/)+*6O-WT
.#%#'{#l=/+=Q%4'*.:;*%#K4'3#+F!/*.%.J%#*1%
/#Z+*0Jp&%4/#I%34%#'O'.+/#+/:Fp*{K4%4f
4&Z:;*.%#%#:E%#'54U%4*W#?
@A#D##:!/*.%5*(#
(
qDv (+/01I,*+/B*\0J%#432
$!/*.%Z#%#%#%#'AR *-#)- :I&3 =\*(7#Y%/+*34:;2
/*.%*(S(34IIT+*0J4I?k]43#ITp+/*.#0145#+/*!6$Z
01#C,bT5/*1#&"#C#+/*-401A.*:;$!J
34%#'Y4+*.-4&-#=$:D*%=2c*&2 *%.A4&4%#%#I+FA*2
:&#%#%#+/[%4l*Q#+/*!6W#\;wQ:;I%C *.%2/*&2 *.%
#$&%4%#I+FI?
@A#S]#3#IT
)
qDv %./+*3 :;1%
:E*%}U*(#$>4&2
I+[b-#3##G
¡ÖÚXèè4ÜJ¾¿Å*¼XÍÇs¼Ë»
Q#*=>'P+~%#%#*/!/
-WT\U#+/*-4-#9T?^@A4#+/*-4-#9TBG%Y9/0J!/*(4/#
:F4%4:;)4&S/#5'.Y$S.:E/34&TV(-#5? ?B:;*.$=*%
(+/I.?"@A#Q4%#%#I+\#+/.9/:&TM+/#34:;{#J%W3#0Y- +\*&(
:I*$=*%g:F4:F\-WTO01%#01%4'M4"%W3#0Y- +Y*(R:F#:F
#$:Fk&+/N34=3 &TgA=#Z6+(TW%4'{'54&
+C%#*A &+A*(^/#CK4%4<=*.3#*%V4!/<?
+*
%
:E*%n`N,Q=4*! #*!H*Z3414Q]#3#IT
,
~qDv
/*)I6.I*JC0J&%##3#$!/*.%J#$&%#%#+?>XS3#+>0J%#43#&*%
#$&%4%#I+^PzF=z(#D]43#IT
-
qDv #$&%#%#+P#$:FB34(34IIT
*%=2c*&2 *%.
qDv 4%#%#I+F
!
*:&#$&%#%4I+F
.#
4?
%
:;*%
/
L,"4+=%.1*34+5Iy +01I%/,+/3#/?
02143657598;:$5<5987-=;>@?2?BACED4FHGI7.:6J9KL:MK959J3ON@PQJ97RK7RS<GTU:6N@V27L593
W
:6?BAXCED4FZY7B[\7RT]3O^_7RY`Ka]S+>T 5b:6N@723O>@KT AX:6N@YXa]NY7R^I72N@Y7RN'59T A`G'A
c
3O8T]a]Nd:6NYfeg:2[Jb:6h'ai j$kml
{\:;*.%4:;34CZ1/:;3 *.%"%
:;*%
?
n o
ø
pqp
f
srutwv
%\,+F#z/*.%4&!+/*..0J&C&%C'.7- I9I%U9,*%#*
+/I#+/I%F74D(x:;/4!A\4+=/:I3#$&+~*:I #$&%4%#I+,,.
-#R*5:;*%4%#:;~4R9,*\%#*-WTJB(-4S4!/<?7@A#
-4=%4:;J*(A%n'.J01&% C4&\4:;*.%#%#:;*%{(x&
*.+UAC%4I6+CI6%{+/
x
x- :I&3 =54J%#*B,I+/Y*W*
(x+)&4+=
O
E?N{:;*.3#n/bTM/4!Yz(/#I+/Q;y$95&%n#'
-;9,I%Z9*"%#*[#%Z4Y')(*3#%4l-WT"/#5*:I
#$&%4%#I+C$C(.=-#5{#+/*-4-#9Tg|[^&%4Lz(A%#*N#'
IyW$=/#I%"#B4+*.-4&-#z9T1$#?7@A#C#Y- #% (34IIT
+/*..0J&4^/*U%#%#*/!/,'*&(4/#A+*0J)
34:F)#+*.-4&-4z9T.[:&14
L½Í4Ä%½£»¾¿Å!μ!Î4¸ÆÃ#¸ÆÁÜ
!?>%4=
*(D+9/+$:E/%#'l#"#+/*-4-#9TL/*
zy
b
|{
I|
_}
,;1z5/
%TJ6!3#B%n_
~{
I|Iac#%4:;U/#B%4&01
!
=(3#IT
#
Y+/*.#01<?
@A#Q'1#+/*- &-#9Tl$\%{9/0J&J*&(,4:F4&% :;
/4!RJ !N^&+D- \(*3#%4N-WTV1*:I<#$&%#%4I+?~%
/#,:;*.%;yW,U&+/D(+/ID/*)34C\W% J*&(P*:I #$&%4%#I+[
#$:F"#*Y%#*,%4:;/&+/T1'3 &+F&%#U(-#z9TJ*(^
'.6.I%V4!/<[4-#3#D#:FZ$D-#C/*J0J&B5(x.9D9/0J!/
*(P4B#+*.-4&-4z9T*&(^/D;y=%4:;.?
.349B.5#J'.I%#+/
qDvn[4Q]#3#IT
u
qDv C
+%#%#'M44"%4g
h
3#+TO# [7-#31%n#N]#34IIT
qDv ,,=/+=G-WT\I%/I+/%#'S4
h
3#+TC# [%4\*.%#T)z(
/#R+/*..0J&
%#$&TJ:;*.%4=%#'\*(*.%#T)/#S=/+=%4
'.*.&%4*W#
@
Q#*g%#*&V:;*%F&%fg *-4M*3*%k !P[
/#I%5893#01f/*L/#Z&+/%#%#'{#4V*O054+*!6./#
+/*..0J&<?Z]'.3#+/M|#*!D\
*! :F &+\*3/%#%#'M/#
'.*+/z/#0N?\%l/#J]#3#IT
u
qDv ,J*V%#*&B+/3#%l/#1*2
:&P4%#%#I+R*Q6.I+/z(TV#'S##Z3#+/%#'J4)&+/%#%#'
# ?>%4=V*&(76.I+/z(TW%#'5#\'I[,\/'.%"/#I0
%p%#z/'.N#+*.-4&-4z9T.?p@A#%$!/I+1%/#
h
34I+/T
# [P(R&%O'J$\4+=\*(DN *-4*3/*.%{ !P[
,B&##TJ/#B*:&#$&%#%4I+A*J34#'+FU/#+/*- &-#9T?
ÿ
ÿ%û
s
t
|
'ÿ
@A#
h
3#I+/Tg#4.=N$Q#Q%./*
/#+9/I4
^%Y3##&[WC=&+F:F<[&&% Y%Y3#4'+F=IP?
%{#13##&Q=IO,J#L%#*C+/I4+=%./%4'/#
=/+=Y%4O'*&~:I*%K '3#+F!/*.%
xz(/#ITn+J%#*5+/.T
/#I+/
@
,&% V:I*%#%4:EA/#C*54B+*0J&P?
%M/#Y+/:FM=M,\K4%4M#501*.=S#+/*- &-#\4&
(+/*0 9F&+\*l'*.74+*.3#'O/#+/*..0J&<?Z@A#Q4+*.-2
-#9Tg*&(BO4!/
$QIK4%#k54M#+/*W#34:EQ*(S/#
#+/*- &-#U*(~45'
f
*
{._{'{$@
l&*%#'"#J !
4
~
*
E?
{NK4%4#$14&-T=I=%#'O/#N'.V,I'F)/*
9;9@E
9.
&% N#%Z-WTV3 =%#'S 89=+F
|¡
R'.*&2
+/z/#0H*\K %414R4&QJ/#R01%#0)3#0 3#0 *&(<#'
,I'/?k (C%#*n4!/f;y=Q,V+/;/3#+/%(x3#+/[,I$=N,
#+/*:;"z/"/#B3##'.+/.C9/I<?
@A#O3##'.+/.L= 4%4"4O.:E/34&U6+K :I&*%
*(/#Q4&<?Z]+F=\Q%4I+)&~'B%/*MN#+*+/9T
Return path
NO
YES
Query phase
Update step
Upgrade step
Remove
edge
Path probability?
Search step
Path found?
Construction step
Expansion step
Learning phase
0
]'3#+/)|
G]*!e:F4&+V&%Q*!6.I+/6W*(<(3#IT
~qRvn?
h
3#3#Cz/"/#I+#'C#+/*-4-#9TQ#+.IT?G@A4I%
,>+/I!P#~(**!%#'**.B3#%.z/#I+&'<+/:F
#+/*- &-#9TQ|*.+>3#%#/#*:&##$&%4%#I+~#/:;*!6.I+FB:I*2
*%M&*%4'1#\ !
4<
>y/+/.:E/#)'BZ/#\*!A2
9\#+/*- &-#9TZ(+/*0 #
h
3#3#[^0J&1/#J*W:&>4%2
%#+7 +=(*.+0H#*% &:;*.*%1:F#:FG&*%#'S4, !P[
%4n/='%L4#'QZ%# #+*.-4&-4z9TLII%4#%#'L*%
/#D%#e:;**.%J:F#:FY+=*.3/*.%<? (/#R*:I##$&%#%#+
$/:;*!6+/7Y:;*.*%<[.R#I;R#U:;*.++/ *.%4%#'B#'
(+/*0 #)+*0J&Z%4N+I3#+/%N*Q#)+/:FZ=<[
,)+/I%4I+D#Y'.)%*Q/#)4+*+/z9T
h
3#I34Y&% M:;*.%2
/%W3##"3##'+F#Q*W*.<?M (4#+/*-4-#9TL*(R&>/#
'&*%#'1/#B4!/ZD3##'+F#*Z|C4I%N4
h
34I+/T
$=*.6.V&%4",B+I3#+/%/#B4&<?
k#%n%#I{*M3#4'+FQZ !n,:&7#(*2
*!%4'5*:I#%#%#+
! "$#&%')(+*
[
-,!./'10*2,
E[
3
465
-,!./'10*2,
7 "$#&%8'9(+*
:;
<:=5
}
?>
*+@*
>BA
*
C
5
þ.ÿ
CED
:-;
F:
;E5
"$#&%8'9(+*HG
'
)I9"2,!*KJ-"
G
'
"2,!*KJ-"
C
L
;M
NPORQ
')*$*
ûÿ
û
!
t
Yþ
9
*ÿ
C
5
C
G
e|
ûÿ
û
!k
4û
ÿ
@A#Y*:&#%#%#+UI+(*+/0JR:I*$=*%L:F#:FS*%Z/#
=+F&'%#C- I9I%Q/#B=*.3#+F:;C&%4Q/&+/'I,:I*%K4'.3#+F!2
/*.%l*&(~#14&l.? c?C45%#+S%I+/*$!*%l- I9I%
"$#1%8')(+*
&%
S ,!.'10*2,
E?>@A#SK4+F9,01S,U%#IJ*53##'.+/.
V4&OJ:&7#J*:I7#%#%#+Bz/
,9
3
<
|[P%4
/#1*:I7#$&%#%#+B +=(*.+0JBV=%#'.J:;*.$=*%O:F#:FM&
/#R01$#R*&(/#R4&<[.4I+/I-WT5#6W$%4'\4R4&J%./*
9,*n3#%4:F#:F:;*%4?jDIy05Ll%#I*g3##2
'.+/.\/#J4!/L,5%4:I+
9
3
>-WTM*.%#1&%4{:IG/#
*:I&~#%#%#+Y&'&%<?N@A#Q+/3#zYC/4!5J &6J/#
$=/&% :;C- I9I%Z34:I:I/=6C:;*.*%N:F#:FA&*%#'5/#
%4U:F"01BB3#4'+FS#B'.?
{~4b6.>:F#*.I%C/*D0J&>#,=01#(TW%4'S/3#01*%
/4!,#C%W3#0Y- +*(P01AY'6I%
%
~2 4:IR4&"4/=
/#J- *.3#%4#+TL*&(,#
%
~2c*.-49F:I1*%4T{II%44\*%{/#
I%#'*&(U#Z !P?kLM0J"#$Q/3#01*%fI6.I%
/#*3#'.CzP%#*&</+34G(*+P01*9^=+/34:;3#+/UI%W6W+*.%#01I%/[
-:&34lM&*!D34"*f:F#*W*.l054{#+/*-4-#9T
01*Ic[+&%#'J4)I%#'Z*&(7/#) !M*J/#)%W3#0Y- +
*(*.-49F:I7-*3#% #&+/TRI%#I+F!/*.%4I[%405TS4
G*$*%
$=+/-#3#*%
7T
y
U
z99
WV
}x
AYX>?Z
X>\[^]
`_
[R#I+/
B$
/#"I%4'&p*&(D/#" !P[
aU
z
B$1l=*:F4=$:Q6!+$&-#
+/I#+/I%/%#'\#U%W3#0)-I+,*&(/01/#S !V:;+/*./=7/#
~2 *-4=/.:;7- *.3#%4#+T.[!&%4
Lb
#$P#05&%\6!3#*&(
U
z99
;?
( R4!/\*&(#I%#'
Q
44^-II%Y=34::;=(3#TB:F#:FB&
I6.I
~9
3
-WT)/#R*:I&4#%#%#+~*3#%#J&-*!6.[&4I%Q
4.- I%16W$Y%./*\}
?>
*+@*
>
3#-4:;*%4[!.:F)*( I%#'
>
)cd!e&dfc
?GT)34=%#'S#
G*./*%B#+/*-4-#9TB01*W#I#&% \/#
W%#*!'.B !
gU
0)3 9C- 5I6.I%
`
x- :I34=Y45:I*%K4'2
3#+F!/*.%g%:Fp%4*&(D/#N4!/$1:;**.%g(+/I
\,
:&%l34:I\4)(*.*!%4';y#+//*.%N(*+D/#5#+*.-4&-42
9TJ !R54!/N,(-#Q_|`ba
b
;
R{$
3
@
ih
_
j
'
:k
fb
>
)cd!e1dKc
a
A
cdfe1dfc
>
)cd!e1dKcml
<:
|
>
cd!e1dKcmn
<:
{
9|
#+
F:
$J/#O=0J&="$9F&%4:I[De4:Fk,
A&%1*nI+(*+/0 :;*.$=*%f:F#:FJ*.%#'O4!/4I?D*&/
/4!BC$C*./=-#Y/*V:F4*.
<:
6I+/TZ=0Jc[P%4:I1zB$
3#%4TV !U#1I% =5+=*.3#*%ZG-Y+/.:F#N(*.+
%TJ !NIy:II/#\*3*%V4!/<?
b
f:I%p-N=01&g;yI+/01%.F&Tn3 =%#'L#V(x:;
/4!
mo
Q_
U
z99
a
q
pb
9?>,T":F &%#'.%#'Y4
Lb
Z4+/05I+,D$
*./=-#,*\:;*.%+/*W4#%#%#+/G#+/;(+%4:;A/*!,+/\(x=
#$&%4%#%4'"6?\=#*.+=C=*.3#*%l ! I[-#3#U/#$R(!/3#+5$
-IT.*%4#\/:;*. C*(^/#A &I+?
q
éÿ
t
Yû
bx
r
1s
^t
|
'ÿ
ig:;*.%49/+3 :E*%B=B%4I+/
U
+/%2
*.01TU:F#*.I%C:;*.*%U(+7+*.- *P:;*.%K4'34+/&*%4<%#*
%*A47(3#ITS+/*..0J&<?P <#%\:;*.%#%#:;/:FC*&(W/#
aU
%#n%#*^/*R/
Hs
:;*.=^%#'.W- *.+/Pz/)#'?
:F
*(,/#Q'B+#+/I%/BZ !n-;9,I%O9*Z%4*W#?
t
R%#A%5#'.I%#+/
qDv *C%#*>+34%5U*W:%2
%#+U*N6+(TN#J'.[% 9/L,1.'%l\&%{%4z/
#+/*- &-#9TJ'6%"-WTQ
h
34!/*.%
=|
@
,
3
@
e#?
iD%1IyW &%4*.%5=
x01+7%1%4&3#+/,*Q_
ba
m
>:F#*W*.
u
%#*\&% O +=(*.+0J\N+F&%4#*0 A&L=/+=/%4'"(+/*0
Goal
Start
]'3#+/S}
Gi01%##3#$!*%J'.+/#<?
*$J%#~+/I#+/I%
/+/%4=P4&4&% B*&\%#^+/I#+/I%+F&% 9(+P4&4?
:FZ*&(G/#)%#*I?
:FN*&(7/#
u
%#*S&+/\:F#*.I%
+F&%4#*01Tz/N5#+/*- &-#9T
!3
h
34&/*
~
^3
C
:
!3
}
;
;
C
9
:
{
}
#I+/
C
:
^3
VN/#g%W3#0Y- +M*&(1'.M=/+=/%4'e!
%#*
m3
\ !~,I+/AK4+F9.#5*B/#D+/*.#015%41$!+
Il3#+/%#'Q/#
h
34I+/TV44?
;
;
C
:
$S#Y*2
F&#%W3#0Y- +>*&(I;/5#'?%1:
;
;
C
:
>C,
W"#BIy4&%4*%N9/I<?
o
ø
pqp
f
rutwv
÷¡R
wv
óZK[åS
åøådZWYS÷([
XS3#+"&##+/*..:Fp/*g0J&%##3#$!/*.%k#$&%#%#%#'g${9,*
I6.I&01;/#*?P%C/#7K4+F=<6I74b6.7,(3#ITR+/*.#01
#$:F4bT~#C+/*R*&()0J&%4#34&*%'.+/#l_ `!a ?7@A#
#34+*.7*&(W4>0J&%##3#$!/*.%B'+F&#C$*R#:;*.01 *=G/#
0J&%4#34&*%k#$&%#%4%#'p#+*.-#I0 %*p0)3##l*%.2
/*&2 *.%A4!/"#$&%4%#%4'54+*.-#0JI[W#$:FV+C*6-WT
(3#ITU *.%2/*&2 *.%
4
~qRvH4%#%#I+F<&<#=:;*% SI6.Ic?
:FZ%#*Y%Z/#501%##3#$!*%l'+F&#Z+/I#+/I%FR
$&%4#01+N:;*.%4=%#'J*&(~J+/#Y:I*%/%4%#'"1+F&%4=(*+2
0J!/*.%0J&+/zy
#
[B'+F %W3#0Y- +
PV
0)')."fJ
[B&%4
+/*-*&1:;*%#K4'3#+F!/*.%n6:E*.+
'9#
?
#
:;K45l=/&2
-#N#$:;01I%5*(R/#N01%##3#$!g*.-89:;[~4I+//#
*.-89:;):I&%{-JI(o)3#%#'.+/.=L-WTM4J+*.- *?
V
0/'9.-"fJ
$
/#B%W3#0)-I+*(G5'+F+/I$!/*.%*(^/#B*-89:E?Gim'.+/.=
+/I$!/*.%e=:IzK4nI'&S *=*% %4f*+/I%/&*%f*&(
/#5*W*Gl+/:EU*"454.:;I01%.C*&(~#1*-#89:E[
&Q#:F/#N*W*RQ-#N*n'+Fp*.-89:;?
p '9#
1$Q
:I*%K4'.3#+F!*%56:E/*+G(*+>#D+/*-*&[!(*+~#:F5/#D+/*-*&
/**.$)-#Q*L'+F{#"*-89:EY4.:;p!
#
3 =%#'
/#\'+F":;K4N-T"'+F"+/I$!/*.%
VY0/')."fJ
#?@A4B01&2
%##3#$!/*.%p'.+/#p')+/I#+/I%F\/+/%4=J&%4p+F&%4=2
(+S:;*%4?AP&% 0J&+/WD#*.B'+F"+/I$!/*.%4D+C/#
/&01Z&+/V:I*%#%4:E/-WTpL+F&%4=(I+1#'?k^&%40J+
#*=U*-#89:EA*.z/*.%4A&+/R/#B05C&+/S:I*%#%4:E/"-WT
Y+F&% ='.?
]'3#+/1}"#*!DSN0J&0J%#43#&*%L'+F&#<?YD*&/
/4!19,*L*(R4V$&% 0J&+/W1+V:;*%4%#:;-WTg-*&f
/+/%49(+\&%4OV/+/%4=B'.?@A4B$B-:&341#19,*
$&%4#01+>4+-*&/J#U01D*-89:E+F&%4=(*+/0J!*%
%4Q/#\/&01C'+F%W3#0)-I+?
(#,74B:I*01#;~4!/\#$&%#%#+/P!</#~:;*.%4CI6
,%O_ `!a
E[,S,*3#$"- B&-4S*16+(T14UIy=%4:;U*&(
:FN*&(G4B+F&%4S&%4V/+/%4=(I+D4&4R%N/#\0J&%4#3#2
$!/*.%M'+F&#M#3#+%#'V:;+/!/*.%<?UL1:;*.3#Z#1=*.6.\/#
0J&%4#34&*%M#$&%4%#%4'"#+/*-40 -WTM.#%#'V.#*%4
$&%4#01+U+/I#+/I%%#'#Q=/+=\&% l'.*.&7:I*%K4'.3#+F!2
/*.%4*&(4~=T=0V[!%4C=&+F:FR/#>0J&%##3#$!/*.%C'+F&#
(*.+YZ4&p:I*%#%4:E/%4'Z#V9F&+Y&% n'*&>$&%4#01+?
]%4&TO,:;*.3#$g:;*.%4:I&I% !Q#V% 6W$34~/+/%49(+
%4Y+F&%4z'.>*.%#'C#R4!/J%*\#R*3/*.%J01&2
%##3#$!/*.%" !P?
i wJ:I3#C4+*.-#0 S !B534Y*.%#TV4+*.-4&-#=2
/:&Tn:;*.01#I"#%#%#+/Y!)/#":I*%4g6Ic?
~+*.-2
-#$9/:&Tk:;*.01#IO#$&%#%4I+F"+{3#%4-#L*f:;$
#I#+\N'6%
h
3#+TM$B3#% =*.6!&-4
C#Tl>%4I6+
/I+/05%4&~(
h
3#+U(*.+%\3#%4*6!&-#~4&<?G@^*R34>/#
- *!6.\&'*+/#0 ,\%#IZ/*":;$)*.%l=*.01)0J!y01
+/:F1/01[#34:FJ/4!A(P4U:I*%4JI6.I#$&%#%#+3 =
01*+/Q/4&%p#$1&01*34%.5*&(D/01"#%p,V#:;$"4&
/#
h
3#+T3#%4*6!&-#?,3NpI2cI:E":I*3#$k-
/4!~wQ:;3#~'G#:FJ+A%#:;//&+/T\%5/#R*3*%
4&N&+/C+*.%#'&(3#TI;/"(+/*0 /#B+*0J<?
{)4b6.):F#*.I%ZQ#zI+/I%U##+/*..:FN%4N,\34)
(3#ITL+*0J&{/*Z+#+=%B#Q0J%#43#&*%O'+F&4<?
{>;P/#~'~#+*.-4&-4z9TS*&(#'.6.I%C'.
,II%4\*%
#*!n0Y34:FB/01#A:;*.++/ *.%4%#'R:I*%4BI6.I#$&%#%#+
4.=I%R+/:F#%#')(*+A4B4!/V+/I4+=%./-T
9;
m|
L
;
C
;
;
;
;
C
{
x`
#I+/
;
C
;
RU/#101Q=I%B-WTZ#Q:I*%4LI6
qDv +/:F#%#'n(*.+V#{4!/+/I4+=%./k-WT
[S%4
;
;
;
C
JB#1/*&/G01Q=I%)-WTl>:I*%4{I6
#$&%4%#I+FI?
@A#V0J&%##3#$!/*.%g#$&%#%#+Y$5&'.%6W$g%*{
+%#%#'Y#4C&%4"
h
3#I+/TJ#4.=.[W#:FV&+/U#'.%#
-WTZ&%4*.'T"*"#1:;*.++/*%4%#'Q44U*&(
:;*%L}#[
Iy:II^4&P/#0J%#43#&*%B'.+/#B^-#3#$)3#+/%#'D/#
%"%#$&<+/3#%V*&(#B+%#%#'5#4.=.?
ÿþ.ÿ
t
Yû
bx
r
{s
t
|
'ÿ
%"/#\:;34++/I%6+/*.%*(^/#
#$&%4%#I+U453 =+B*+U#J:II%\=*(o9,+54.R/*Z=3#4#T
-*&/
#
[
VY0)')."fJ
C&%4
-')#
G(*+G.:FY*(44%40J&+/^%
/#Y0J%#43#&*%{'+F&#P?B U$C *-#Y*V+/34:I)/#$
+/
h
3#+01I%*B893 9
#
B-WTN&3/*0J!/:&TV:I:I3#&%#'
'9#
%4
V
0/'9."KJ
3 =%#'D%W6I+F7%#01&$:IP*+^D%#01&$:
+/*..0J&_|Ea ?
#*W*.%4'"/#Q=/&-41*-#89:EB*.z/*.%4C$
"4&+FM4+*.-#0%{/I(9?Y{J:;3#+/+%TV+/ITl*ITN*%
/#S3 =+/*5.#3wQ:;I%9F&-#U *=*%4~*50J&.R/#
#+/*-40=*.6!-#.?
@A#"%40J&+/B*&(*34+)+/*.#01n&+/Q#O*%#-T
*.%#[)%4j:Fj$&%40J+{:;*.%#%#:;*e/#p*#+
$&%4#01+J%e/#l+/*..0J&<?j (B9,*g$&%4#01+4b6
/#Q015*.-89:;\:;*%#K4'3#+F!/*.%M/#IT{&+/5:I*%#%#:E/{-WT
N/+/%4z\'.?V (A/#IT{4b61/#"/&01J'.+/.={+&*%
/#ITM+5:;*%4%#:;l-WTN+F&% 9(+S'.?
M
~[%#*V#'
$S.#?DiRS%M#5]#3#IT
~qDv ,)*"%#*&S6I+/(T/#
(-#z9TJ*(<#C'4I%Q/#IT"&+/S:;+/&[W%4=
%#'G&+/,.'.%#5&%5#'A#+/*-4-#9TB*&(
~ _
=%4:;J|
Y01%4A !A#B !N4.A- I%V(*34%4
~
E?
%e:V*(\O+'.Z%340)-I+Q*(C$&% 0J&+/W1"01'
-\%#:;//&+/T1*J*%4TV:;*%4%#:;D:FN$&%4#01+Q*J/
s
:I*=9%#'.-*+F[W:F4*.I%V-T"=*.05B$=/&% :;C01;+/$:&?
ÿ
ÿ%û
s
^t
|
'ÿ
{l=/+=J/#
h
3#I+/Tp44Z-WT
3##&%#'N#J0J%#43#&*%O'+F&4L{4Q9F&+)&%4
'.*.&G:;*.%K4'.3#+/&*%Z*(>#1TW=0N?U (#5*-#89:EC$R3#%#2
'.+/.=O%pz/#I+Y#N=/&+Y*.+Y'.*.:;*.%K4'.3#+/&*%O/#
:I*+/+=*%4#%#'Y%40J&+/QP4b6C&%V3#%4IK4%#"'.+/.=
%W3#0Y- +?%N#$D:I.=C/#\%#*BP*%4T"- ):I*%#%4:E/
/*L*#+Y%#*5z/p/#V/&01"*-89:E5+F&%4=(*+/0J!*%
-WTJ/+/%4=D4&4?
@A#R*:I 4%#%#I+F>3 =J3#+/%#')#S3##'.+/.R=IQ*
K4% M(-#\/+/%4zC*+S+F&%4=(I+U4&4S(*+U/#Y%46W2
34<#'*.%#'1101%##3#$!*%N4&<[ &+/C#zI+/I%D%2
=/%4:;7*&(#D(3#IT)*%.2/*&2 *.%
qDv #%#%#+#XS%#
%4=/&% :;Y(*+U:FL *-#Y'+FM*&(~#1*-#89:E?\@A#
#$&%4%#I+FC&+/)34M*N#$&%M/#5+F&%4=(I+U4&4?)@^*"3##2
'.+/.)1/+/%49(+S')z/LQ &+$:;3#$&+S'+F<[4,)34
/#\]#3#IT
~qDv /=*:I&z/V#$'+F<?
{l:;*.3#$ b6N% :;34k%k% 9F&%4:IZ*&(U#Z(34IIT
*%=2c*&2 *%.
g
~qRv #$&%#%4I+(*+G.:FY=/-#,#$:II01I%
*(<#C*.-89:;[&%44I%V34=S4S#$&%4%#I+F*5#%Q/#
/+/%4=\4&4?
% :;J/#Q%W3#0)-I+Y*&(D=/&-4Q:I*%K4'.3#+F!2
/*.%$534=3 &Tn$&+/'
$&+/'I+Y4I%#N%W3#0)-I+1*(S(o2
(+%.\'.+/.=
$
;[P&%4n%4:;J\)3434&Tl0)34:Fn+C*
#$&%nV/+/%4=\4&{4%{*Z#$&%nV+F&% 9(+B4!/<[^,
4b6.:F#*.I%1B+%.,=*.3/*.%<?L34RC%#'.A(34IIT
*%=2c*&2 *%.
(
qDv *Q*6B&/+/%4=D4&4?>{)*
/#D-T"/=*:;$!/%4'51=*&(G#+/*-4-#[*%#U(*+:F
=/-#)*-89:ER*.z/*.%<[z/Z#)'.[4%49/.Z*&(8934=
*.%#\#+/*-4-#9T?A{Y:F#*W*.C4)+/'..SI%+/T"%N4)=
%4%#'Z*%L4Q9F&-#1*-89:E\#$:II01I%\/=*:I&
V4C+F&%4z4&N,C+B:I*%4#I+/%#' ?
'#$:Fl&+/\/='%4V#+/*-4-#9TV1(*.+SJ'.6.I%
*.-89:;M#.:;05%Z+V8934=l#$#%m#I%m,n01n
h
3#+TO(*.+14&14.:;I01%.?@A4"'J&+/"#*!,I6.I+
.I%Q4U+/*..0J&"3#%#T&+/S.'.%##+/*-4-#2
9TJB(*+A& *-4S*-89:E4.:;I01%.FI?G@A#U#+/*-4-#2
9TJ*&(</#C'.%"4S0J&%4#34&*%'.+/#Q$,'6I%"-WT
h
3 !*%
z
`
;?A]4+*.0/4!U
h
34&*%NzC:I%Z- )I%N4&
%B'.>%#I6.I+P-.'%#S4+*.-4&-#z9TC#?@A#I+/;(*.+
,%#6+5IV'.)(+*.0 #V0J&%##3#$!/*.%p'.+/#<?
34# *=A/4!7/#34I+7*.+G#D:II%~*&(o9A&+/4.>4
3wQ:;I%L%4*W#l#3#+%#'k/#p+%4%#'e= 34:Fm4&
/#I+/Q;y$95M4&
4
$
B(+*.0 =/+=\/*M'*&,&%4n&)=
*.%#S*(<4S4&4,$:;34T5(-#.?>@A#I%"*3#+'.*&2
+/z/#0 *.%4:;C%
h
3#+T#4[DP=/bT1/#I+/B3#%/#
0J&%4#34&*%V#+*.-#I0 $D*6<?
i
gceRTS
ce[éWµZKd
t
ïceU6ødWµU
@A#~'.*+/z/#0eA01#01I%C%
)
GgG
n*%\
<
..v
R
G%./340=A+/3#%#%#%#'Qk%4*!DSR@C?XS3#+D#+/*'.+/0 34
|
`l:I*%44Y*.%g/#Zb6I+F&'.
u
9|l3#-4
h
3#%.J+/3#%4
6
B/*
*6O/#p0J&%4#34&*%j#+/*-#I0 #+/*-#I0 #*!%m*%
]'3#+/Q`#?V@A#)#+/*-#I0 %W6*.6.B%O<2 4 L*.-89:;
%45D%#$&T54.C9F&-##$:II01I%/~*&(4D*-89:E?
@A#U0J&%##3#$!/*.%"'.+/#":I*%/%4)*/*&(|
Y$&% W2
0J&+/I?
Rb
ZA9/0J&V/*
|
}}#?@A#)'*.D*Q-4+%#'
/#*.-89:;)(+/*0 #V*.z/*.%p=4*!%g!5%44=4*&
;[
#+5/#J*-89:EB$C- #% {#J+/'.U*.-49F:I.[*N/#
K4% & *=*%N#*!%"&%44=4*&
f
m
E[##+S4U*.-89:;
$B-;9,II%{/#J9,*Z*-4=/.:;C*%O/#J;(o?Z,:&341*&(
/#S$&+/'S=IU&%4Q#C9/+/%#'S=4 S*&(</#U*-89:E[/#
+/*-*&14Y/*{431#N*-#89:EQ*!%&%4p+'+Fg5/*
:I*01#;U/#C/.=?
SVU6ùøåU%U6SV÷([
{S4b6.R34:I:I/9(3#T5='%4Q%4J05405%&%
'.*+/z/#0:I4&-4B*(G &%4%#'J0J&%##3#$!/*.%V4%#%#%#'
(*.+PDTW=0:I*%4$9/%#'*(#D=%#'.>+/#3#%4#%.<+/*-*&&+/0
0J&%4#34&%#'Y5=%#'.S05*!6!-#S*-89:EAz/")K4%#C=I
*(P9F&-#S4.:;I01%.FI?7@A#$,,.#*%#S-TJIyWI% %4')/#
qDv (+F&01*.+Nn&%{'.Y4+*.-4&-#z9Tl%#%#*/!/
+/*..0J&<[:IVY(3#IT+/*..0J&<?
ûÿ
)ns
ûü
ÿ
W
ÿ
W
S3#+/%4'#A6I*405%P*&(
/#):;34++/I%S##+/*.:FP[\ b6\$:I34/=V#Y *-42
9T1*&(P01*!6W%4'\4S/+/%4=(I+,4!/4>(+/*0 /#C=:;*% QI6
qDvM~*Y#SK4+F9A6 0J&%4#34&*%'.+/#<?G@A#$
+/I01*!6)#1/011*.=C4I%
h
34I+/T%#'V41:I*%4LI6
qDv (*+5/+/%49(+Y ! )/4!J*{%#*&1;y$9?p]#34+=/#I+2
01*+/[G%:Q",%)*L'%#I+F!/J#V9F&-#*.-89:;
:I*%K4'.3#+F!*% ~&3#*0J&$:I&T[zA- U*./=-#R/*YI2
3 :;B%(*+/0J!*%V(+/*0#\0J%#43#&*%N'+F&4V- *.3
#+1%l/#J,*+/W4.:;)\,*3#$l-Q#6b%/&'.I*.34D/*
'.I%#+/&Y#=Q:I*%K4'.3#+F!*% I?J@A#$C#N$C3#%4+\%#2
6.='.!/*.%<?
®Q´
±X°
% #&
"!
p4
$#%!'&
4&
)(
µ¿8)º*
$*
g
%!
%
,+
#
.-/
X #&
10
2&
*"
43
£ #
5+
#&8"
46
 #&
17
80
90$
Xa
:<;
!&8 #
=&>+ -
?*@(AB0
#"X$
DC&>E
µ*
&F0
*
G;&>0
-( Ë
IH
£"X
26
'Ë
G7
&8
80;KJ L
¦*
$#
B'"
D0$
% #&
(M&?(
µ¿
NEK;OCP;
XX
2&IQ"&=6
&?#
Â
&
*&
E
µ"s&
GA(R7
(
µ*
G0
#"
%(&
4
G0"EK;S3
10
RTU- V
é-
WW
,-
XV!'&
HV+.-é+
Y7Z[
*3'2'2
?\O&
*"6
3
10
RT.-
+¬0
BW
s0
RV^]=[
'2
?\F7
2
<]]
2'2
F3)J?
%
_&?AR0$
%4&
P!
A+
`+
#
,#
a0
0$M&
*"
B#
0$
%K&
10
K4)
b0$
X£
:K;
!&8
5&?+P-
*@(BAB0
#"%$
^c
é
?A(.&>0
-é #
H
£"X
26
'Ë
G7
&8
80;
5
ed
é"X
,#fc
£*V!'"E
g0
Ë&8Ë"Ù5
RC&
H&p/
N6
'Ë$
e&?&
4V
@&
*"%
@h
L*
G0
Ë"
C
Ù #"6å
g0
Ë&8"
I&>0_H
£"X
26
'Ë&8
80;
*)Ù0Â
AR0$
%Ë"
^i
:"
B*j&
4
$#
:)º4
0$
X ð
*@*
gË"
<0
&
&
*"6B&
GA(B(
µ*
G0=J