Pensamiento matemático

PRINCIPIA
INTRODUCCIÓN AL PENSAMIENTO MATEMÁTICO,
ARITMÉTICA Y GEOMETRÍA
JOSÉ ALFREDO DEL OSO ACEVEDO
ISAÍ MORENO ROQUE
RAFAEL TORRES SIMÓN
MYRNA VELARDE SALDAÑA
INTRODUCCIÓN AL
PENSAMIENTO MATEMÁTICO,
ARITMÉTICA Y GEOMETRÍA
José Alfredo Del Oso Acevedo
Isaí Moreno Roque
Rafael Torres Simón
Myrna Velarde Saldaña
Academia de Matemáticas
Colegio de Ciencia y Tecnología
Programa de Integración
TALLER DE MATEMÁTICAS
COORDINACIÓN ACADÉMICA
UNIVERSIDAD AUTÓNOMA DE LA CIUDAD DE MÉXICO
Esther Orozco Orozco
RECTORA
Facundo González Bárcenas
COORDINADOR ACADÉMICO
Carlos Ruano Cavazos
COORDINADOR DEL COLEGIO DE CIENCIA Y TECNOLOGÍA
©
Principia. Introducción al pensamiento matemático, aritmética y geometría,
primera edición, 2006
primera reimpresión, 2007
segunda reimpresión, 2009
tercera reimpresión, 2010
©
José Alfredo Del Oso Acevedo, Isaí Moreno Roque, Rafael Torres Simón
y Myrna Velarde Saldaña
D.R.
Universidad Autónoma de la Ciudad de México
Av. División del Norte 906, Col. Narvarte Poniente,
Delegación Benito Juárez, C.P. 03020, México, D.F.
ISBN: 968-5720-76-2
Academia de Matemáticas, Colegio de Ciencia y Tecnología, Programa de Integración,
Coordinación Académica, UACM
Materiales Educativos: matsedusuacm@gmail.com
Responsable de la edición: Ana Beatriz Alonso
Diseño de la portada: Aarón Aguilar. Diagramas elaborados por integrantes de la UACM.
Imágenes tomadas de images.google.comFRQREMHWLYRVGLGiFWLFRV\VLQ¿QHVGHOXFUR
Material educativo universitario de distribución gratuita para estudiantes de la UACM.
Prohibida su venta
Hecho e impreso en México / Printed in Mexico
La Ley de la Universidad Autónoma de la Ciudad de México, en su Exposición de
motivos, establece:
“7. Contribuir al desarrollo cultural, profesional y personal de los
estudiantes:
(...) El empeño de la Universidad Autónoma de la Ciudad de México deberá
ser que todos los estudiantes que a ella ingresen concluyan con éxito sus
estudios. Para ello deberá construir los sistemas y servicios que éstos
necesiten para alcanzar este propósito de acuerdo con su condición de vida
y preparación previa. (...).” 1
De igual manera, en su Título I, Capítulo II, Artículo 6, Fracción IV, dice:
“Concebida como una institución de servicio, la Universidad brindará a los
estudiantes los apoyos académicos necesarios para que tengan éxito en sus
estudios. (...).” 2
Atendiendo a este mandato, los profesores - investigadores de la UACM preparan
materiales educativos como herramienta de aprendizaje para los estudiantes de
los cursos correspondientes, respondiendo así al principio de nuestra casa de
estudios de proporcionarles los soportes necesarios para su avance a lo largo de
la licenciatura.
Universidad Autónoma de la Ciudad de México
Nada humano me es ajeno
__________________
1
Ley de la Universidad Autónoma de la Ciudad de México, publicada en la *DFHWD2¿FLDOGHO
Distrito Federal el 5 de enero de 2005, reproducida en el Taller de Impresión de la UACM, p. 14.
2
Ídem., p. 18.
Imagen de la portada:
El Triángulo de Penrose, también llamado tribar, es un objeto imposible.
Fue creado por el artista sueco Oscar Reutersvärd en 1934,
y popularizado en los años 1950s por el matemático inglés Roger Penrose.
El tribar aparenta ser un objeto sólido hecho con tres barras cuadradas
que forman un triángulo; sin embargo, su fabricación en el espacio Euclideano
o tridimensional no es posible: sólo puede ser concebido mediante el dibujo
en dos dimensiones.
Imagen tomada de en.wikipedia.org
<0+660+"+ +&4=!"=%#&
)
,+06+
+
"+67++!""0
"+)
*
+
"++9+=
"%+
""+
%+++67)
#6!"0
+) ,+
2+$>=#=
!"
%
+"0
20+0
"+"
6+%
+)
0
+%6
) 0+?=!"
+-+
0"
"+"%6
"0
=
2&
2=)
2 @+ !" + "+ 4 " 0
+ ) " + : "
+
++6)
<+"600+!"!"!"++4+
"64
"+%+
"+"+*"+,"-
!"
""
20+0
)
; +6=5>!"17
0 6 + +4+
5 $ :A+%+4+
%1"+9+ ")>+=6
!"
6 + + + + !" 1
+4+
5++
%+)
<"+4+
+%+!"
"!"++"++++
"+6
"6"7):+++"
+6"6
!"+"0+%"=-+0!"-0
++4+
)>6=+4+
"!"
7"!"
+%+
!"+
="
1
1+
+)
<++-+1
+
+"
+"
+
"4+%+"1")2
+6
"+
+"
+)2+!"+
"=
+"+!"+4+
2%6B
-
+
"6+C)#1""+4+
+
"+2+
"0+" )<+"
+
++"%""++5"+"
!"%6+4+
%!"
"607 " 6)>
""%6++!"+"+=+
"
+0")+="+"
+"+)1+
7"01++
+"
+0
E)
:"+ +-+
" !" !" !" " ) 20 + !" ++0
%"
+=):<+
!"
0
4++!"
+)#+!"6"%@
-+
4
+!"0""+-+%60+++"
+"
+0
+):+!""1
1
+4+
!"
"%
6)2++@
"1
++!"
+-+ 4
6 +
+ <+ F0 0
FB
64
44
C)<+
6+4+
)
<61"
+-
"*"+,"-
"+
'
"-1"+6606+%-
+""+)<+"+0
1"1+"
0!"!"%!"
++"+"
#+4+
)
<
"+61
+
%
6
67+
!" +"+ !" = " + " "+ " % "
=7 0 40 +-+) 2 ""+ + 660
+ % 0 ++ +-+ + " + "+
+G !"
+67+
++
+"+%"
+
+4"
)>
+4+
++"7
+
%
=
"=+4")
+ ! + !" 6 "6 "!"
+"+!"!"
++
%0++)2"
+-+
+"+"
20+0
%
"6"6
"+
"+
++"+,
94
%$")
1
++!"6+0"+"
+")H"+6"
%!"+
!"+"6),
++++
I+%+
" =+"
++
+7
"+
% + 1+
!" + !" "
600"+
+4+
)
< 6+"7
++"+7++ ) #$ %
4 6 !" 6 ) < + + " = +
%+67
7"+)
.+1+"%!"6
406
%0):7
"6"40)<
+1+67
!" "6"7+
+"=
+"+
+
+++)<+++++04
%'+1!"7+
6=1+
+0""%!"++4+
"+)
<16
"+67+)<+"+60
=61
+0
%"+4+
%+)
&'! (
)!#*)
'
J2< *#5,K,< , $<:*<$# >9 "! L)L9@!"+5=+"
+
#$"" L)&
65=+"
+
%!
$&'
!
/
L
L3
L)M7++0"
6
M
)L:@+
M
)L)L
):@
N
O
))L>@
++"+
O
)).
!"+%
ON
))M
M
))M)L"+
M
))M)
O
))M)M$"%+
3
))M)N:@-+
P
))N26
)M
PP
3
)M)L#
3
)M)#
3N
)M)M
6
%
3P
)N:@
%
7"+@
3/
)O =%
/
)O)L =
/
)O)2
/O
)O)M 0+5
+
/3
)O)N2
+7
L
&!
($")*
M)L."+0+5"+
+%
!
L3
M)L)L2+%0+"
LL
M)L),
"
LL
M),
++"+4
LLO
M))L"
"40"64
LL3
M)M#
+0+
LM
M)M)L&"
LM
M)M)20"
LM
M)M)M =4"5++++
%0+
LMO
M)M)N,+"
0%
4
LMP
M)M)O.
+
LN
J.*<:#<$
LNO
$+,
-./
<++%16"0"G"+67
7"+%+=
4+
++++%+%
+!"+0
+"!"+0)
6%+67++4+"
+
+"%
+
"++4+
!"++-++4+
"
7+"
=7")
<"+4+
++"
++
"0%"+
")2+
==
+6+4!"-+
+"+
-+
+7
"
!"
++67"+!")
< * 5 +"
2+ +4+
6 + 16 +!"
+++)#6+-+
"066%!"4"+=
"!"
0""+)
2"+!"++
+%+
%"+
+4
"%
!""+G
+=+
!"1
++"+67%
=
+"
")
2++*5++
+67
+
=+"
+
"600"
0
G%
+"+0
6+"+
+6)
< + 4 -+ % 0" % !" " + " "
1 =7+)2++4+!"6"
7%
7
4
+
)
2@+*5I++67
++4+
!"""=
6"7%
64+06)<+
4"4
+
+"+"++="+"=++4+
)>
"++4%!"
"%4"+
+!"+
+0+
-+++"=)
2 + = + " +4 " % + 0" 6
+ "+
G % +
+"
46+
+0+
+""+"
+"
0%
4%00
+
++
!"0+
)
.+!"
+!"+"1+67"
+
+%
+!"+
""
"
%%
!"4+
+
605
L)
$$6!"+4
"
+"
!""
"4+"
+6+G
!"6"!"++!"
%6!"
"%")
)
2++ 0 15 < -
" "
+
++
0)
M)
<<2>5!"++6"+!""+
"
+)
N)
2$
<+
64
+
+""
=7%"+"
)
O)
3/1 .$ < +4 + 6 " 6 +-+) > ++1+!"+%""+
+)#6
+
!"""+"=7
"++"
=+"+67)
)+ -,,4. ,
-!".
/)
"!"61
"+++"%
"
+
!""
+0
+!"
+)
"
#
2 2K$#
./0 .. !/. .)
#/.! ""%!%)
:# *,,K:
>+++-+
++4+
6"7%6
+=6+6+%66
+0QQQ%QQ+"+)4
<0+ "+ +4+
+ 6
)
+
+
""
60
1"
+!"1
+6"
+4+
++4!"
4
+
)
<
4
"0+"+4+4+
+0
"
6
+
"+"0
%+"
+"
+4+
)
<+"-+4++6 %6 "4 ++16=+0
E+4+
!")
"!"567$
8
2 "
+ !" + + +"
!" " +) @+!"%
"+"6"
64
6%
4+
+0")
"
<
"+"+0"+
"
0")R,"40"+0"+S
TU
T6U
T
U
TU
TU
TU
<-
7"++"
'!"
"4"
+!"0"%!")
%
R,"4+!"0"++S
*#,,$$)))
R,6+"S
&
+0"++466
@)
LML3M3MM)))
L3PNLO)))
LLLLLLLLLLLL)))
R,
+0"+
+S
R2
"%1
"
"+
++!"
"1S
9
23+42
5 46
7('++
3. 1 1 1 1 % 81%12% 91.! :<
V+"61++4+
%
=6
=.'.
++4+
+>2T.6
U'L)>+6"+
@
7
%
)
!:0
-.. .:-,
!:1
00: .:
!:0
-;.-:-,
L
L
L
L
L
M
L
M
N
M
O
O
O
M
3
3
O
LM
P
LM
3
L
3
L
LM
MN
/
MN
L
OO
L
OO
MN
3/
LL
3/
OO
LNN
L
LNN
3/
MM
0"
"+6
6.G+"
5
"<"<%<&<'<=<"&<%"<&9<''<=><"99<!!!
R2
6!"0+40""
S,"+
+"0
0+
+4+
)
R,"44+L"
S
<0"7+4+
R
6+!"+"
S%++")
'
+
+"1700+3+0""
+""+3
=%"
+)R2"6+0@+-
++O=S
<6""++0!""+=
++)#6
6!"!"+"
!""-+)
3?, .-. - /1 .+ , ,:. 0 -1 -? : - .1.:: 0-:$/1- .@0/A-/0+0 :: --!B,.;,-<- -./.:---, C!
* C""
"+
6
+"+
+
")
3-;,@D:0/:A-1- .1.::.- ,,..: .1!
<,..: .1
+=6+"
"0T1
"
7+"U
+6
+7
)>
7+"")5
,..: .1!"
!"
=++
"00)
$"!"0
+0"
%"
!"4+"
"!"
1%6)
2
>0"+7
"+67!"")#"+4
)
3.0-?+ 1-1 .+:,.:.1.:-<?.,@1.
01.,- .+"!&
25
< A@-- 4C,0-:--:/ +,/:A-10/-,!
"!<
"+@!"0"0"++5
/LLOL3)))
ML3N)))
M/LONM/)))
L8M8NO8P83/8L)))
<-
"4"+"=+%
4
0")
%!$0"++0"
UR,"4++0"+164
"+0"S
6UR,"4+0"@
S
UR,"4+0"S
URW0"S
&!$
"!"@%0"+5
U"+
)
6U"+@)
U>!""++)
U"++@
!"=+)
U++""+)
<
+@
++G6U@3)++""+)R,1
"+S2"+
+G6U1@L)
9!R,"40"+0"
+"
"6
+66"0S
TU
T6U
T
U
TU
TU
TU
T0U
<
6=+-
"
6)$6
@+
+"
'!")
'! >0"++@+"
.6
),7+""
"
!"
+
"N
")
LXEL
LYMXOEL
LYMY3XLMEL
LYMY3YLXMNEL
LYMY3YLYOOX3/EL
L L L O
M LM
M O MN
O 3 3/
LXL
LYXM
LYYOX3
LYYOYLMXL
LYYOYLMYMNXOO
L M
M L 3
O L
3 M OO
E! -1"+=
++=+"
++0@6
+)R#"
"
"
+S
R2!"S
*!U7!"
"="+")<6+
6)$
16"%
0"+!"""
"7!""!"%
6+
+16)R,0
"=S
6U #7!"
"="+")<6+
6)$
16"%
0"+!"""
"7!""!"%
6+
0"+16)R,0
"=S
UW
"+7R
"4
+S
UR,0="+
"!"@7S
=!$++5M"%M+
0"+
0"
5
ZZZ
>!"61
=!"
164+0"+05
[=+"%""0=)
["+"+7"+
=%)
[$"\6
\""0)
3? .$.0.,-C . . ,:!
R,1
1S
R2"0=+ S
"++""+
+!"%+
-
)
"
4=)(7=4' 4=6
4=3 (
=$
>47.1. !11$.?@ABC .12.1 DE "4. .F#7)
!1
!1.75
G4%%/)
H..:)
+!. %I
V+"%
=
+0""
@"%0)2+
4
+
+%+67
+%7"+691)
""!"0"+
+5
U,+0"++65
!::. !:0
.,0FG
,:.0 .-FG
L
M
N
O
,:.-$
6UR<-+"++@
%@S++
++%
+
+5
!::. +H!:0
L
M
N
O
]]]
]]]
L
]]]
]]]
U*=!"1%
++@
+ "
0"7++91
"+!"+++N
%
"!"
"+="+!"++++6
U)<
6"+="
"
+
)
,+!"6+"+
-*0@+
0
)+0
0@
)
$0@+""+R+0"!""+4+S
4.!!
.?.#
-C
"DE4
3%++3%3'
"
"!%
5$
8
6 + !" + +"
+ ++0 + 6"7
!""+1+!""+
)"
++""+
++"
')
E
*
"@"
"
+
!""@
"%0)+"
)27+"
"40
/
5
E "" 9
'
*
>
") &
=
<+
"40
"40
L)2"
6"
+
1=+%0)
,
@+"L/
"0"++"+!"40
%
!""LO)
RH"
+"+0!"+"
""40
S
!+#
.+1+
0=.GJKD?HGHC
-,??KEH0BGEC"
!/
+.
!/
,
$.@)
*
4+!"467!",)467!",1+)R,"4
+64+S
RH"
+0"+
+S
R2!"S
=
*16"=
+
+
"%
MO%3+
++)
,!"
++40"R!"
60"
-
++N
+0"S
>
*+=
+T"+"
+ L%U%
"+0+BNC6+
@LL)275
NN
XL
NN
R<-+"
+
+
@LLS
")
,!"+7!"
+O%/"+
++)R,"4
44
+1"1""+LM"+S$++"
"7
-+
)
<6""++0!""+=
++G+6
6!"!"+"
%
@+
+"
')
R*+=++=+%++0!"0"
++S
<
%+
"4"
)
3?.A,.@ /:.-..@1 ---,:,. :: .1!
<0,.:: .1+
+00
1
6
+
")&0+
")
<=+"
++
6!"
7
)
<+6+"
+"=+!"
"%0+
"T"""
"%"0"+
+U)
27=+"
++"
!""+0"LM^+46"
T
U!"LO%!"L"+!"
6)
3.?-,<-0 .@1.@; - .1.::.</ -A ,0/:!
L
<"
+"+"+
@)
<00++
7+
"+6
=+"
+)2
46
"+
+")
2
>0"+7
"+67!"")#"+4
)
3.0 -@.+1-1 .+:,.:.1.:-<?.,@1. 01.,- .+"!&
25
< A@-- 4C,0-:--:/ +,/:A-10/-,!
>!R,"4+
+F+4=F
L
"+
N
"%MS>"1=++
0)
R;%"
+S
")!
6"
%!"16
%=)$P++%
"1
N/OR
"4+
"16"
S
R,6+"+"+S
@+
+"
')
""!*+4"=+"),+N+1
6G
160M+)R"
"4+
=46
=S
"%! <60"+
++"0+
)$"!"61
"+
++R!"0+++S
222
Y
ZZZZZZZZZZZZZZZZZ
999
R,
++
+S
<
+!"0"+R"!"+"
'S
"&!0!"+3)+P"++
%L
""
!"
4)#+6"6=+!"""+M
)
"6M7)
"++"
+
+"
')
1"+
+
+@
+7)
"9!#+
++M5LN_0O_0N_0O/_0N/_0M_0%L/_0)<"
)>++60"+
"%0!"+0
-
++)R,"4!"6S
R2!"S
"'! ;"02
%>"+
")<
7"+5
1+-+
@
+7%"!")
$6!"5
[<
1@
)
[<@
%7"
;"0)
[<+"6
1+-+)
[
10"+61+)
[>"6O7)
[2
>"%+%")
R,+";"0%+2
S
%
='=5L
+' 44
2#4
4.!4%% 4 ."JBM./%+"$ HM
)
,
5
[#
""
)
[,"+""'
+)
[>
"'6666+"
+%+
++)
+5
L)<"0
7"+
=")
)<!"
++
1)
M)<0
7)
N)>
+"
")
M
<+"
!"!"_0"67+G!"!"
+16
"67+)T<!"_0G%N)U
O)<66+)
)>
+=!"
6
)
P)<
+
)
3)<!""2
47)
/)<
""1)
L)<!""97"+!"+0+)
LL)<!"+
67"+!"""1)
L)<!""666
=)
LM)<4",)
LN)<!""9+"
!"660")
RH"+
+S
3. : .:. 0 < - . ,/. : .: ,A .,0! I @< :,4 : :. .,. ,0K<0: -1.0;I!
-/..!"
%/!OO
"#I +)
"!&
2
5
< 1 "+ 4
+
++ 6@!" + " =+"
+++%"
6)#1+6!"
67"+
+"!"""
!"1"+)
3?,D:: :@D.:M. -,-@-D0-:$- 1-1.-?:--,:.@,N< -?;+,-N-?,4<-A:
-0/-,A:-- .+NA, D<0AA!
<+ "6 !" -+ "% + % 6 " 6
++6+"=7+4+
)
+"
++"!"!""+@++67+++-+%
"!"+"
!"++"6+"++"+"%!"
1
+
"+++%"
6"+-
"+
)
<+"!"""+"%
+
"
6) ." +4+
I0 2% TL333EL/3OU) > "
+"
5
)(+42( 4=(2+3'#)('2(2 45=P'')'=')42(=3+
5 4)(7=4'2
GC 4#
4 44=)(7=4'
4../4.."%% "$,9Q.<
HC 6()3='3='
- ! . " '" ,
4..)
7)
)%.)
4.%)
2!.$)
*%%.1)
)/%!)
3/)
3$
2..%..)
RC ==4*''+'7(4=='
3%/"!./,2/% .$!/.9<
EC )4*
2'P+()347'
+.%"/.,92!.<9- ".<9%. !/<
?+-A.
;A++T,U
(7-JK:
4"!. ., >.",
"$"8
/I)
3-C,0-@ . .+0<K-,-??.@0:?.
-- .+:0/-,0.:- 0:+-A!
<<2>L
*'$)+=$)2= $)#%$)I="
)$"
6 1
1 !" " !"'6%@
+16 "
+)
[,"+!"+++)
[*"7+!"++
[+!"6
[+!"
%
[++!"+6+)
$5
["+6+
[++<+1
$)I="
[0+0
4!"
""%
[$)2="0""0+">"
%$)#
R
"40+S
.?.:-0:+-A5
G 4#
4 44=)(7=4'5
-+"
60"+
5
+
0++++!"
)
H 6()3='3='5
;%66)*%
"+6!"0
"
"
'%
"
+
)>+641
!"6
++)
D
?.
I
R ==4*''+'7(4=='5
&
"
%
!"'
)$""
"
0 !" + 4 +) < 0"+ "
!" )0"+0
5
TLU"+
D
TU"
?.
I
TMU
0+
TU"+
0
4
6+!"
!""
"%6+
TNU"+
"!""
TPU
6+!"
6
T3U>"
"%6+
2=%!"
"0"
I=%"
TOU"+
"0 TLU
%!"
+">"
%
+6
6+!"
<+1#%
$)#%
%
"%6+
!""
>"
"+
!""
0""0
6+6
2=
">"
!""
%$)#!"
%
T/U@
+6+
6!"
!"!"
1%
+%6
6+
0$
++
0++=)
E )4*
2'P+()347'5
2
6!""+"+
+6
"6)
<+
""
%!"
"+"+1%0"
+
)
>@!"
+6"
!""0
"
")<+
!"
+++0"!"+4
+
6)
<<2>
< " +6" = + +
+"!" " +
6 +
+0"+!"
5
[*
%"=
6"
")
[*=
6"
%"
"
1)
[
"
6+
"
1)
R
"4+
!""=S
.?.:-0:+-A$
G 4#
4 44=)(7=4'5
< 6 !" + " +"!" +
") > 6 "
!"
G0"!"0"+)
H 6()3='3='5
2 +"++!"
66
+
"
"+)1"+!"
+"6
5
G+
G=/
G+
G4
S+
S=
ST
S4
>!"
6!"
+
5
+U=S4
=S+UT
H4SRT
R ==4*''+'7(4=='5
$=S+UT+
R=SR+URT
?GC
6+6!"H4SRT
?HC
"++"%?HC?GC+!"R=SR+UH4
?RC
+66!"4S=U+
?EC
"+"++"%?EC?RC"+R=SR+UH+UH=
+R=S@+UH=
!"+=600"+05
05=S@+
5"=!"
)
E )4*
2'P+()347'5
$
6
6!""+"+
+)
<<2>M
,+
6
+!""0"+"+
)64"+
0+TLM)))/U-
++"=%0!""
+
+5
)
%
&
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
'
.?.:-0:+-A5
G 4#
4 44=)(7=4'5
<6
6
0++++!"+)
6 !" + + G @
+ @ !" "+
%"+)
H 6()3='3='5
L0+%+4
) % & % ')2++!"
@"9E*=%>)
2"+!"
"
+
0+7
+0+
@
1&%0"@!"
7+4
6
=!"))#+
+"++
+%%)
R ==4*''+'7(4=='5
<+
7
@"9E*=%>
"+5
"<9
"<E
"<*
"<=
"<>
9<"
9<E
9<*
9<*
9<>
E<"
E<9
E<*
E<=
E<>
*<"
*<9
*<E
*<=
*<>
=<"
=<9
=<E
=<*
=<>
><"
><9
><E
><*
><=
;
++6"=+'+%+
+),"
"
160"+)H"=41
0"7
"+4+
+%1"
+67)
2764
+6+!"
"
7
+0"+
5
9
)
%
&
"
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
"
%
9
)
)
E
%
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
"
%<
9
E
%
+
!"@%+%!""
"0"+
@
1 %)<+
1@ "+
!"7!"
"!""+4+
+
+)
#6"6!"+!"7!"
E
"!"+6
+)
W=6
67++)27"+=0"+
"++6
79"5
"
)
%
&
9
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
&
9
)
)
E
=
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
)
&<
9
E
=
&!""+
+%!"+)%9G%'++6
)
$6
79E5
E
)
%
&
9
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
"
%
9
)
=
)
E
=
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
%
)<
9
E
=
0"!""+
+%!"'+6
%9%E
+)
+"60!"
7>9+0"+"+5
05
9
)
%
&
>
OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
&
E
"
"
%
)
E
"
'<
E
*
=
=
E )4*
2'P+()347'5
+"
6!""+"+
+)
2
>0"+7
"+67!"")#"+4
)N
"E!*'!"1"++
+),"+1""
50
+%
++@1"!"
5
<'
'"
+5B$+
+!"461"0!"
+)CR20"!"
++416S
"*! <
0@+")$"L0"%+6+"+
@)$"L+
%+0"6+"
"+@)$"L
"+%
++
6+"!"+@),+@+
1+!"
"6"+)
R,"4+S
"=!0"'+4"
")$
"++
"
+%
"
)<
"+'
"+-
+++"
')R,"4+'1%
"S
N
$4
+
+""
"6,)/'
,1)&<);%<)1;6% )<+2<"
+)
">!<+
"
7
-M-N
"+"'!"!"+
"+
6
7)R,"4+
!"6
S
%)! < " 1%
+ @ " ) * 7"0 + 0 " "!"+"
%!"+
"
"
+0")
I7"0!"06+"+"
"+0-
+++
)$?
7"0+"
"
L
R""0""
7"0
0S
R2!"S
%"!6"7"0!"
"
0"+"@475B
"67"%"+C)
%%!#/+
+3"++
%)R2
+
40
+"-
++76=S
$1PR
"4+7
+
+S
? .$,
/)
%&! >"%$6+4+
""++F+@+6%6
+F%
1%!"
+) 0"+@+66
+>"
0"+@+6)R,"4++
"S
%9!,
+0"+
5LMN%O_0
++)
>
6
"="6+!"+"
0OP_0
O
4P)6!"+"
"=+%!"6+6+)
'"++0!"!"
64
"=67+
)
%'! V2 2(7)4 =' 24+34+
' 6
7('++
, = 6. ! ! "/)O <0"+
4
++++)
> 6 @.6
E
"
)275
6 L L +"
6 L 0"+
6 M +
6 N M "+%"
+)
O
27676
1
"61"!"1+=G"67
1+"5"
16)2+67616
"61"+="6716+5"
1%
"16)6!"0
1%"670"1%"67+
1%67+
) V++
"
.6
)4=
0"0
@6716 "
%=
+
0
@67
1
"
)
6!"5
6 L 6 6 M
6 6 M 6 N
6 N 6 O 6 <0 6 6 L6 M)
3@I<M. ,/1,-0NA.,00 .0/<- - -.0.: .+,,4. !
<
-+@.6
/3P%
+LO/P)R,"4
+
@.6
S
"!" 6 +@.6
E
"
)R,"4
@
!" 6 S
6 M 3OP 6 OPOO) R,"4 6 N S
$+"
"
.6
R+0"+S
,"6
"+7@)
+ "+ 1
"
.6
!" + @ +" "
-
""@.6
"@"4"=)2
7OXLYMYL)<-
"0"+@+5
UMP
6UN
UO
P./ ..
"%
.1
/)
&
*
"+4LP!""LM)))L)9"= @%"@L"0
"+1+@O"0/
1+@LN%
+@1+!" O %
)R<!"
+4
S
? .5 L M N LL
)
9
$
6"+@+P%30"+5P3LNLLN)))%@!" @+
"
6"=)RH"@
OS
'
< 0"+ "+ + 0 "6 !" 0" L % M
++5
R,"4+
40"LSR,"4+0"S
? .5 $ + "!" + "+ ++ 0 0++
%"+5
L L L
)
E
4=34*(4=432
2
41GJ@J% $
+
! 1<"411/W. !, 41!"% "$!)
>0"+0!"6+
"7"0)))!"!"+"
5
L)<4
"!""7"061
"0
+T+"
+U)>0
+
6
660`"176
"+"
)<4
""
"%"+!"7"0
)
)<4
"+LN
+=67"0TN4-3U%0"
)
M) < 4
" " + -+ =!" "
7"0) 2
+!"7"0
7"04
"
"++
7
%+7"0!"0"@
+
)
N)<4
"4+00%
+
4
1
+
6
T1=+UG "%
+
4
++67
+7"0++
%4
+47"0
+")
O)$0@7"0+"%!"10"7"0"
MN
+"
+)<7"06
++6+!"+
7"06"
)
)$"4
+
7"0
+4
"
!"
+
+%7"06
+!"67 '
+
+
)
P)$7"0+"
++0"
+!""
7"00+64 BC% +" + 7"0) $ 4
"
!"7"0+4
+%"+N
++0
=%7"0+)$7"0+4
+%+O
+4"0
=%"""
"+
+!"+
+)
3)$7"0+4
+
!"BC4
"+""
+
+%
)<7"0!"
+"
+%O
4)
/)<7"0+"
"!"++"
5
U$-
+7"0"1
"%
07"0!"+0
@
+)
6U$0@7"0++"
++++6
)
J%
2 2K$#
+$
!"/%%% '.%"$!/" >I$!% ).!1$ 1)
:# *,,K:
<@"
4@+!"1++1""
+
6+
!""0
+)
<+"
=
+0"
6"
@+=
6+
+
+67+1+0"++
"60+
4
75+0"60@
!"
")<+++!""0++
)
>%%7++"
0"
)>0
%
1"+
"
460+
@
!"
+"+"+=)!""
+7+"
5 D.?.0 .%
,A5
< + " +674 ++
b
@ +" + %
b " "0 0 1+G + %++
+
+6"
)
%!"6
>@!""0"M,-+6
"
5
LMNO)))
<+
7"+@+
6 )4+5
X LM) ))
> @ +" "
+ + 6 % "
7"+40@)<0"+7"+!"++@+"
"
+5
RH"@+"+!"
0"+
!"
"+
@!"
S
3 LL
N
OO <
!"6
6@M!"3YMXLL)<0"
1%
6
+"@!""
N)#@-+)0"
6
+0@@!"
"++O
0)
+
+6
@)+
"0
+
7"++M,6= )
X ))) NM L L M )))
<
7"+M,+4
++"@+"
%%%+5
X ))) NML L M))))
<+
7"+"+"
+"
0"5
EEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEE
)))ENEMEELLMN)))
>@=!" @?.1)
>!"1
1 @0..1)
< +0+)
<.1:..1"@+"@Q+!"RFQGS))
6!"+"
7"+@"6+)5
N
OO
2%"
++@5
N ,
EEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEE
)))EMEELL%MNO)))
OO ,
EEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEE
)))EMEEL)LMNO)))
<
=N"
1%10
"+)
20"=O"
1%10O"=!"
0@+)> ,B. %"+%"=
"
@+)>@+=
1%0+=!")>
"+'!"7)
3-.?. .1.:: ,0A:. -: ,0K!
"
<
6@+
"0"+
),"6!"
++
+
+""+6"7"
+"
)
U NL
6U O M
U P M
U 3
U /
P
>"+@0+"+"
!""0)27
+ @ 0+ - ++" !" 67 ) >
6
+T++"U%!"167
0+T"U)$"
'"0
0+)
+
"6+4+
++%0
0
"
++
@+%
@0+)
<<2>L
260/%7"0%0"L%)R,"4+%0S
$>*,K:
6"/+%L0+5 /LM )<++26M%)
,4+
="
+"
!"=!"
"+0+)
%
<ML/NM++" N/ 6 "+$1_+")$
++"
" N 6 R
"4"++""+4+S
&
<"+7"0
"+;
1d_0N%M%%%)
RH"@+0++"0
+++%7"0S
9
<"6++++
%!"
6T"
"+0++6UG"+45
"
Me
0"
EMe)
R,"4+
40"
LOeS
W0"
EOeR
"4+
4S
>@+
+"%"+
)<+"+
++%!"!""+
+
!"
5
0.:::-M,
$.%@++
5
$
" ,.15
U.S.U%.S.
$
" ..15
UT.UUSTU.UU%T.UST.U
<-+"@+:..1+!"
US%US
<-+"@+L,-.0-. .1+!"
L % L
2
@+-+"@+f
.1:..1+!"UTfUS%TfUUS
$
"00.:::../.15
T.UUS.U%TU.USU.
$0@+6++P P +L
L + O OO + L LL
+
)
<0+!"
"!"@+5
$"@++
<<2>
<
++"4+<+*5LMNX6"0+&"+
,L/LM)<
++"467" 3 6 2
+,__
L/PL)R,"4
+++"4+%467S
$>*,K:
6
+""++++"4+
+++"4
67
+
+5
LMN3LMN3LN )
6!"0"+
1"+0)
+++"4+%467 LN 6 )
'
>+6"++"
++'%"0"5
K
-
F0.G
0.+
;:.::
F0.G
._
LPN
.
EM//O
d
LNN
,4
ENPL
2_
LNLL
EMMP
UR,"4
++"+._%".S
6URH"++4",4!"S
UR,"4
++"+2_%"S
E
<
+@0"+"@+)
U
6U
U
U
U
N3
PL
N/
L
MM
%!"!"
6
" @ + % " + "
"= % + ++0)<+%"4
7+
)
$0..1@
!""40..1)
$@?.1"4?.1)
$@+.?:.;
+@+""5+@@%G
0+"!"
0@%)
<<2>M
&
0"+"@+5
U LPLP 6U MLOL3 U LL U MOL
U LNLM U L3 )
0U LNO/ )
1U LLML )
U LN )
<+
"
6"+=
+"
)27
U5
EcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcE
ELPELELOELNELMELELLELE/E3EPEEOENEMEEL
=L"=!"%1=P"4=!"0
ELP!""+"EL%EP)
*
<7
"
+"
+)
6
>"+
+@+"")<"+"+
:.; .)
<<2>N
>
+3%MO
5
3fMXO)
<++6"
6
5
3YTfMUXO)
5
PfNXPYTfNUXM)
<+""0"+5
$.@+f.XYTf.U)
204
+
+0"+75
<<2>O
&
0"++5
U L3L3)
6U LLN U LLLL U MLML U OMOM3 U PNPNLL
0U MO3MO3L 2" 6 !" U % U % " " "+ !" ++%0!"5fTfUX
,
"
"%+
6"6)<+
6
+"%
%".?:?0 .+T5FG,TU+
)U!""+=
0"
7"+@
"
++
)
,""
+00"
!"
1
+!"
+""
"+6+=4
)275
<-OYTfMU!"
+@
fM%"
"O"+)
<-TLMf3UfTLOYMUYTNYU'!"6
+"
'+%"
"+6+7
"++
!"
)
,""400"
"+
++
6
+"+1
"""
"60"
)
<<2>
2=
LOY OM3 6
+"
!"
"++)
LOYgOYTYMUfTf3fUhXLOYgOY/fTfLUh
XLOYgOY/YLh
XLOYgNh
XM/)
=
=0"+"@+)
UfOYTfMUYTfUX
6ULYTfOUX
UfPYX
UMYTfLUX
U3fOX
UMfLX
0UfLf3X
1ULfTNfPUX
UTMfOUYTOfMUYOX
7UYgTfY3UYTOfLLUhX
6
6+"
+"0"+
"@++%"
0+6+0"+"
+P5
MOLO
MNL
MM/
M
MLM
M
MLR S
RH"@60"
+ ML +!"+0++S
>@=!"0BXC"%LL%"
+
1
M
M)<+
++"
+@+"+
M"!"
+fMG
MLM )
<+
+@0""+
0"++0+
M
MM/
MNL )
%"
+)40
M
MM/
MNL)
20"!"
"+
@0+60"++5
NML
N3
NLN
N
NLR S
:+!"@=!"00""%LL%"
+
1"+NN)<+
"
+ NL 6N"4!"
NLN )
P
"!""
+"+"+
@)
!"+6+
N3
NML
NNL )
2"+
0"5
A:-.?0-,-.0-. .+
.?.?-5
<0"
+@+
00..1)
.?:.;5
<0"
+@+
0+?.1)
<<2>P
U OM)
6U ON )
U PLN)
U MNLLN U NN3NL U O3MMO N 0U MMNMOMOML M 27(
," +" @ + !" 6
" % "+
@+ + ) <+ 6 !" !" = "
=!"
1+
%+6)
27
OM )
,@+=+OfM%""+
"+)
<+5 OMN <+I0. !"
+)
<6
+""+
M-%"6+O+"+5
OMOL)
&!""++!""
+)
40+"
3OL 6
+""+
%"+)
5
3OLNLM/)
<<2>3
UMfTMfLUXMfTUXMfNXfL)
6U3YTNfPUX3YTfMUX3YTfUX)
ULfTOfUXLfTMUXLfXfO)
UNfMgfTMfOUhXNfMgfTfUhXNfMgYNhXNfMghXNfL3XfLN)
UOfgOfTOfUhXOfgOfTMUhXOfgOfhXOfgfLhXOYXP)
6!"
"
++"!""
!"1%+
+%"+
5"+
%""
+)
0 . ,/.:@+
"+""+
%+"+)
!"%""+
!"+"+
)$+!"+"@%"
+
1+6
+"""+
)
>
=0"+
5
UTf3UTfMUX
6UTfOUTNUX
UTPUTfNUX
UTfPUTfLUYMTf3UX
UTfMUTUfTfMUX
UTfOUgTf3YUfTNfUhX
0U3fNTOfUX
1UTNf/UfOX
ULYMgT3f/UYTLf3UhX
7UfgLfTfNUhX
6
1:.1..++@+)$.%@+ . +
0
.)
.
@ .)<
"+!"6+@+
+)
<<2>/
U
/
M !" /MM )
M
6U
O !" NO )
N
U
LO
M !" LOOM)
O
U
LO
M !" LOOM)
O
++7!""+@+
.?.?-7
" @ + 0..1 % "+ @ + .? :.; ?.1)<+"0"+5
A:-.?0-:.1..+
T U
T U
T U
T U
T U
T U
T U
T U
1
"
+
G
++0"+0"+5
R,"4
++
"!"@+ S
>"++5
!" )
A+
"!"@++
A
R,"4
+3+S
<+
60"+R!"@"+
3S:-++@%!"
"
+
"!"@+)2!""
!"1%"
+
3
)
2++"+
"!" @ + )<+
-+"@+ +
"+%!"
+"6@
)
+"
!"5
>+A+4)
R,"4
+
/
S
R!"@+"+
P/S
P
>"+!"-+0@@+!""+
P/!"1%
+
+G600"+
+"
+"
+)
20"+
+"
7"+M, .-)
2D-P.:. D?GKKK0GB@@C !!!
4
)/#
!V.#$
.)+2.1
.L-.781
+L%LL
.YY.
4!"
",Z=
Z
2
"!<
+@0"+
+"
=)
UPYTfNUX
6UfMYTfLUX
UfLfTfOUYOX
UffTfUX
UfYLX
UfLX
0Uf3fTfLUX
1UOfYTfMUfTfNUX
%!<
+@
@+)
UfTMfUYTNf3UfTfPfUX
6UfLOfTfMUYYTfPUfgf3fTfMUhYNX
UPYTfNf3UfOfTPfMUfNgMfTfLUhYLX
UOTfOUYTfLYMUYPTfUX
UfMYfMg3fTf3UhX
UfMYT3fLLUfMTfMYMUfMX
0UfNfNTMfLUYOTffUX
1UMYTNfPUYT3fNUYTfLfMUYTfUX
UfTfMY3UfTfPUfTfMfLUfTfNUX
7UfgfTMf3UYTNfPUfTfMfMUYLhX
%!%6
$
!""0
!""=
"+=
L
L L L
M
+
)
75
+
)4+"7
+
M N
M N
!"
0"1
4
"
++)
$604+66"
=++
!"
++6
-
++) 2"++
4
0"-
"
4
"0
""!)
<+""+0
7!""
=
0"1+
+)>66"+6"+="+
3-
@
+")
<+
4@
4
+"
++
%
"+=4"
64
+
)
%!%!"6
;+ 1 @
+ 1 +67 @ +" % @ +)
.
"++
++6!"
"0+"+)
27+
""++""L"6"
L
+),
+""
L
L
=L"6"
++
"
++
+"
L
+),"+
+)
,
7"+@
1+1T+"%+U
+"
+
/
+"@!"
"!" M-O)
O
, 7"+ 7"+@ !" "+= "
6+%6)
3 - .?. .1.::< M ,0K A :. - 0 :.,. A
0!
3
>-"
"6%6761@G
+6@1=+!"
+"5646)
")
$+"==+M
"%+!"+
4
+
")R#+
44+S
<-
+""+)
""
6
+40"%+65
R !" - "
+ + 6 L M % N + +40"%S
RH"
+40"0+
"+"S
"%
2="
+"+"+
+"
+40"
+"
0"+
++
5
45 L 05 L
ZZ
R,"464
1
+"!"
"
++
!"S
,+164
"+"+
++
+"
7"+4
@
"+67)+@!"1"%!"0"+
+
$/!5
C:-M, .-5
*M, .-"@!""-
.
%.@+% .)
/
+@
+6
!%6"+=6"+!"%"-
+!"
+)
<7@
5
M
N
L
P
M
LP
O
L L
L
M)L/ ML/
)
L
<+
"+@+
%!""
65
M
6"
M
+
)
L
L
M
&,:%':,.:)<'0
!"
O
"+'+%&
"4++++
+"
)
270"5
<
+40"+4O+0"%+46!"
!"
+6+!"++4++)
<+
6
5
)
O
6!"
@
"0"
%!"
+
+4)
"&
<6+M)0!"
"),++65
I
P .+:-,@0
"
>"
$46%0
N
M
RH"+%++6S
R$4%S
"9
$'
6
+
0"5
,/.4?-".4?-%::
P.?
P .+
6
#40"L
#40"
,"
0!"@
++46"
+40"L),6++
L
N
+40"0)R<+!"+
6
"S
<-
+""+)
"'
$+"+
+0"!"1+0"%16
"+)RH"++16S2"%+"6"7)
"E
<
6"@
!"+0"+
7"+"+5
>+
+40"
+++"++)
>++40"
+++)
>"+40"%
+40"
+++)
%!%!%P7V
P
R2" + @S V+ % + 0"+ 4 +
)0
"@
-+
!"+@)
;6!"%
"+0
!"-
++"!"
6+)
4"
1
+"
G
+"4) "
+
!!)
"*
20"+0
0"+
"0"5
L
N
::"
3
::%
RH"
"L+46S
RH"
"+46S
RW
"MS
R$0"+6
"
"S
R2!"S
M
L
::&
"=
#="
+"
)
L
S
R2
"+
RW
0"
"+
+"
RH"6+S
R$+'+"
+"
%"0"+"
'S
R
++=
+S
S
N
%+6
+4"6
)
M
/
,"*
6+!"
L M
%
N 3
L
+@)I4
+
6+"=!"++
L
)
%
%
N
M
/
+
++!"1%
+'
+"
++"
')
!"
"%670"+
5
>; .@.1-!"+)
#++"%G)
+R
"4+
!"++"
S
">
,7
L
) $"+
""%"@++
M
)))R6+"
!"+S
<-
+""+)
< + " +" " + !"+ + 5 "
" +" + !" !"+ +
.
"+
"%"@++5
– W GW @+% W x )
.–W .
275
N 3 L L
)))
O L LO L M
N
)))
P LN L 3
46!"
"+
!"+"+
/ "
0" % " 0" "+
)
+!)<
5
@.1- .:; .5
$
%
+
%+ . . .
. )
%)
$
0"+
%"
+6!"
"
!"+
"Q)67"+5
P
MO
L
3
M
LN
L
L3
N
O
O
P
3
LO
N
P
P
L
O
O
O
L
O
LO
N
N
N
L
N
L
-,
P .@.1-
L
L
L
L
M
L
N
L
O
P
MO
L
P
M
N
,+""+
++"!")
<<2>L
U+
LP
MN
%
)
NL
3
, LP3LM/N % NLMNLM/N +
!"+ % +
5
L
LP MN
)
NL 3
6U+
N
L
%
!"+)
L
O
"+
NO % LL "+!" NOLL +
!"+)$
60+
"4
%)2"+!""+
/ "+%=!""+!"
=!"%)<+
+
N L
L O
<<2>LL
<
"+@ "
L O
O
)
%
3 L
2!"
O L
O
L )
+!" LO !" L
L
L
2!"
L O
+!" L3O !" 3ON 3 ;+
+"
"
+"
!"+
"%
%0)$60+661
)<+5
+"
"
+4)
2"+=0"
–W .–W .
W x .,0-.;. ; .
6"
!LL"%%
+)
<<2>L
L3
M
M
!"+
4%44
7
) $60
N
N
N
L3
L3
M
) )
%
+
!"
N
N
N
>
L
*
+6"++
"=%0"=
"
)T<+
+44+U)
LL
20"++"4
!)
6!"@L3%N+++
"T
+U%6+"
!"++5
L3 / /
)
N L L
T "!"
, !" !"
L U
/
++ + +G !" 1 L
+T%!"/@UG60++/
L+"
+
@!"
M)
+5
/ MM M
)
L NM N
T "!"
M
L U
M
$!"
+"
+66!"M%N+
+
"++
M
-4)
N
%"
$
L O LOPO
) ,+""+
+"
')
M LO LO
2
@+ !" +67 0"+ 7
) "+ "+ + +"
'%
+")
%%
<-
+60"+0"5
R;%
!"+S
R2!"S
%&
<-
5
U
6U
U
U
M%L31")
O1%M"+")
R;%"-+
+S
"+
+""+)
%9
2
"0"+0"0+
6
5
3
$
P
3
O
L
O
O
L
R
++
60"0+
S
3 N
%'
!"+0+6"7
"
"5
N
O
U,0+" '7 0+"+0+)27 '7 46 '7
'7
'7
'7
XZZZZ
XZZZZ
XZZZZ
XZZZZ
+
L
&
T=
M
N
6U1
0+"
"0+
'7 )27 + '7 ) 46
L &
T=
XZZZZ
XZZZZ
XZZZZ
XZZZZ
'7
'7
'7
'7
%E
+=0"+0"-
!"+5
)
6)
>"+!"
"+40"%
+40"
+++)
>+
+40"
+"+40"%
+40")
)
<
"+"0"+%"0"
"%+
+0
L
"
"0)RH"6S
L
N
R<61
"0"!"
+0
++"+SR2!"S
M
%+0"!"
+0
)
M
++"+
P
%*
<
"+@
!"+46
+4++
0")
,
@!"+46
)
RH"
"
46
"=+S
RH"
"
46S
%=
<
"+
@
+L%)
R,"4+4"
+SR2!"S
%>
2
"+
@
+
"40"!"+)
U
LP 3/ PLN
NL /P L3
6U
NM3 L/ MM
O/ M M/L
U
LL LLL OM
/L /LL /M
&)
0"+
6++!"+
)
M / O P
3 L P LL
&"
$
0"+
)
LLL LP P N3 M LO 33
MN L3O O LO LNNN ON L N
&%
<
"+++!"0"+
!"+)
U
O
N
X
L
6U
L
M
X
/
U
P
N
X
N
60"+
+"
%
6
+5
EcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcE
L
L
EcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcE
L
N
N
EcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcEEEEEEEcE
L
3
3
3
3
&&
<
"+@
!"+++
+@5
U
M
%
O
6U
M
%
O
U
O
%
/
LM
U
N
/
%
LN
L
%!%!&
%!%!&!"
60")+!"
"
N
)
M O
R "
"4"
+40"S
RH"
0
+40"%+0
+40"6S
RH"
1
+40"%+
1
+40"6S
N
0
+40"%%+"
M
O
N
+40"%)
1
+40"%)!""44+
M O
<
++
+40"6+6
1
"+
"4+
+40"!"'+4
+40"%)
R,
"4++4
+40"6S
R,-+"+
S
3
4 +40" %)
LO
, + 164 "+ + 6 + ,
"+
!"
N 3
) 6!""++66+"+
M O LO
"%)
-.0-. .+:; .5
2,-.0-. 4@
"+
""
%""
++5
)
. .
<"
+6++@
)
<<2>LM
"+
%
"-0"+
5
U
O
%
L
LM
6U
O
N/
%
M/
O
$>*,:<$
U
O
O
M
M
M
O
%
X
LM L LML LO
LO
LO 6U
O N/ ON/
LO
LO
LOLO
L
)
%
M/ O M/O L/
L/ L/LO L
<<2>LN
"+
M
N
M
P
L
)
$>*,K:
0"++!"
>"0
M
P
M
L
)
LN
M
N
M
P
L
M
N
X
/
M
)
LN O
3WM@.00/C-.?. .1.::!,00!
&9
"0"+"+
%
+""+)
L
P
O
L
U
/
N
O
U
LO
L
O
L
U 6U
U
U
M
M
O
L
P
L/
N
M
3
L
M
L
3
&'
+++%0"+6)$"%+
6"7)
,1
+
+"
6=!"_0%+"
)
R,"4+SRH"
6=0S
*+"
M
_010)<"=
!"++%
N
+)R,"4+1
S
>
N
M
+"@0"N)R,"4+4
+@S
O
L
%!%!&!%
+"+
!"%6
+"4
)2
4@+"
5
@
I0 "+""
+L)27
L
M
L
M L )
%M
%!"
M
M
M
<0 I0 .
.)
.
L M
O O
L
) <"5
O!"
O
16!" M MO !" M +O !""+
M .1..+:; .5
2@
"+
@
0"
5
. . .
. )
/1 .+5 <-+"4%"+
/ 5
++
!"
@+
N5
. w . .
<<2>LO
<
+@0"++@
5
U O
6U
LO
O O
M/ N/
!"
$
%&$!'($' ')+
,-'%($'' $.-&$!
/0
1-&$2$
--'3&'+!-0(.
'0+-/.
'0+-,-'%($'' !&.-&$!
/01 &./
0%(
.!'.$0-.-&$!
/0-
0+!&- 0%(
4.0-
/
¥ ´
¦ w µ
§ ¶
3
¥ ´
¦ w µ
§ ¶ 6
'
¥¦ w ´µ
§ ¶
7
– +!+!
($
+!
.,.-0$2.$0--'3&'+!-(.0$%
-'$0/-
-8(&/-
(0,
.! 0+/'&70-
/$'!.0-(&/+$$+
. 0+&+
0!$$
/
/$'!.0;
9&:+!
- 0(
-/
+
!
$
%'/%!.0-/$0+3'!&/9&:$-$
$0+3'!&// /
('<
$ 0.!
.$
+ '+ 0(/
<0-
'3&
$-;
+
(.-0+
6
3
-!
/0
/-&-&$/0%+-&
$'$=&/
+>89 &:+!03
+
(0.%-;
0."$!'%08
(.+/.%0- )%0 $ &$
.$
-&%
,.-!
/.
'0+-
.
$$08+ -'!
%0-/'2'/'.$
-&%
/.
'0+-+/0- -0-
?@A1?B?B1
0+-'/.
$0-/'&70-@
0%0$
-.3'0+--0%.
/
--!:+/'2'/'/
-+=&'+!
-(
.!-/$:.
0+-'/.
/
8(
.
$ &$
.$
-&%
/-!
-.3'0+-8
-!
-&%
.$
+!'/
//=&'+!
-(
.!-=&6
,+$!0!
$/$
-.3'0+--/ '.8$
-&%
/$
-:.
--@
/:.
! !"#! ! $
.
-&%
.0.-!
..
'0+-=&!'++$ ! ! 8
--&%
+0.-!
+$0-+&%.
/0.-,(.%
+ $%'-%0/+0%'+
/0.
-!0-@
$ &$
$
--&%
-,.-!
-/.
'0+-C-'%($'' +/0!&.-&$!
/0
@
.
-!
0(.
')+8(.'%.0-.-&$2$0=&-!:/+!.0/$(
.D+!-'-@
,
&30@
?@A1?BEEB?B1
B-
%0- $ &$
.$
-&%
/$
-.3'0+--0%.
/
-=&-+ &+!.
++$
(
.!/
70
-.2
=&-'.- .''%0-$
-.
'0+- 0+&+/+0%'+
/0.
8$
-&%
-./& $ -0-!0-8
+ -'!
%0-+ 0+!.
..
'0+-=&'2
$+!-
,
!0/
- 0+$%'-%0/+0%'+
/0.@+
-! -08$3'.%0-
$ 0%0/+0%'+
/0.8,
=&,-0+-&-%"$!'($0-
?-F=&@
, 0+2'+=&(.%
+< '3&
$
0+$$08
H0%D!.' %+!8$
0(.
')+-2
-F@
! !!! ! $
.
-&%
.0.-!
./0-.
'0+-/! ! ! 8
- %'
+$
-.
'0+-
/+0%'+
/0. 0%"+
-!0-@
!
B
/0-$0-+"%.0-.
'0+
$-
,
$
-&%
,.-!
+!.$0-/0-+"%.0-.
'0+
$--!:/'+'/
0%0@
v
-'$0-/+0%'+
/0.--0+'3&
$- ,8
-'$0-/+0%'+
/0.--0+/'.+!- x 8
,
v
1-&$2$
--'3&'+!--&%
-/.
'0+-@
@
8
8
8
8
8
8
8
8
8
8
8
8
8
!"
$
--'3&'+!-0(.
'0+-@
@
%&')*)
+
$3&+
-0 -'0+-8-&-&
$=&-(.-+!+0(.
'0+- 0+&+
$
-/+"%.0-$$
%
/0-
.
0+0 .$0-8/'+'.%0-(.'%.0$0--'3&'+!-!'(0-/.
'0+-
+,!- --
=&$$
+$
=&$+&%.
/0.-%+0.=&$/+0%'+
/0.
?-F8 &
$=&'..
')+(.0('
-%+0.=&$
&+'/
/
7%($0-@
+,!- --
=&$$
&,0+&%.
/0.-%
,0.=&-&/+0%'+
/0.
7%($0-@
&. / -&++"%.00.%
/0(0.&++"%.0+!.0(0-'!'208
-3&'/0/&+
.
')+(.0('
7%($0-@ $-'3+'' /0/&++"%.0%'I!0-8+.
$'/
/8$.-&$!
/0/-&%
.$+"%.0+!.0,$
.
')+0.
7%($0@
8 8 8 ?-F=& 8 8 8 01)23 4!# !/! 43#!,!- -
+
%
+.
%:-: '$/ 0+2.!'.&+
.
')+%'I!
.
')+'%(.0('
- 0%0-'3&@
&$!'($' %0-$+!.0(0.J$/+0%'+
/0./$
.
')+8,
$.-&$!
/0-&%
. 0+K-!-.:$
+&%.
/0./$
.
')+'%(.0('
$ /+0%'+
/0. / $
.
')+ '%(.0('
-.:$%'-%0=&$ / $
.
')+%'I!
-!0-.-&% 0%0-'3&@
'-&++"%.0+!.0,
&+
.
')+8+!0+ - 0+$0-+"%.0-%'I!0-!
%'D+(0/%0- !&
.0(.
'0+-
$ &$
$
--'3&'+!-0(.
'0+-,./& $.-&$!
/0
-&%F+'%
I(.-')+
L
'+/0&-0/$0-.-&$!
/0-
,@
5&6)
0127!4- # "!- 2# -# # ! -8 ! /:-,!#- -.2
$
'3&.
,.-(0+/@
9M&D.
')+/$ &
/.
/03$0
$-0+$
-.3'0+-888N,N;
$ &$
$
.
')+=&.(.-+!
$
-&%
/$
-:.
-+$0- -0--'3&'+!-@
O
OON
OON
9M&D.
')+.(.-+!
$
.3')++0+&%.
/
;
%9M&D +!'/
/6
,=&-&%
.$
(
.
0!+. ;
; !"
$
--'3&'+!-0(.
'0+-@
/
¥ ´
¦ µ § ¶
3
¥ ´ ¦ w µ § ¶ 6
'
¥ ´
¦ µ § ¶
7
P
¥ ´ ¥
´
¦ µ ¦ µ § ¶ §
¶
$
¨ ¥ ´ ¥ ´·
© ¦ µ ¦ w µ¸ ª § ¶ § ¶¹
0%($!
$0-+"%.0-=&
$!
++$-'3&'+! &
/.0%:3' 08-
'+/0=&$
-&%
/$0-+"%.0-/
/
'$
8 0$&%+
0/'
30+
$-
6
/'2'/'/0&+!..+0+!.-$0!-$(.'%.0%'/
/$
-&(.' '!0!
$8$-3&+/0
/$
-&(.' '!0!
$
9&:$$0!-$%
,0./$0-!.-;
<+&+
0 -')+8&+
(.-0+
0%(.)&+
.!F &$0+>8$02+/')+>8$020$2')
0%(.
.+
>,'+
$%+!$02+/')
>
9&:+!
3
+
+ '
0!&20;
= !"
$
--'3&'+!-0(.
'0+-@
¥ ´¥ ´
¦ µ¦ µ § ¶§ ¶
/
3
6
¥ ´¥ ´
¦ µ¦ µ § ¶§ ¶
'
7
¥ ´
´ ¥
¦ µ ¦ µ § ¶ §
¶
>?'&+
(.-0+
6
2'2'/0
>>+
(.-0+
%'+
/-'3$0%:-
/
40-89=&D/
/!'+;
P%(0.60.
/&.
+! 6.-9M&D/'-!
+ '
. 0..')/&.
+!-!'%(0;
>
/'
30+
$/&+ &
/.
/0-
(.0I'%
/
%+! 2 -$
$0+3'!&//$$
/0+ &+!.
$
$0+3'!&/
/$
/'
30+
$/&+ &
/.
/0/ %/$
/0
>'- 0.!
&+(/
<0/
$
%./ %!.0-/$
.30/&+.0$$0=&!'+%!.0-/
$
%.8
9 &:+!0
$
%.=&/
+$.0$$0;
>%90. &:$+"%.06
,=&/'2'/'.
>;+
. !
&!'$'<
(
.
0!+. ;
/ & 6
.
/'!
/
$
+/
/0.(
.-
<0+
. /
P'$03.
%0/ .+
.
0 '+
.
P'$03.
%0-/ .+89 &:+!
- & 6
.
/'!
-/
$
+/
/0.-+ -'!
+;
>+
!
$
%'/ ('-/$0+3'!&/9&:$-$
$0+3'!&// /
('<
$ 0.!
.$
+ '+ 0(/
<0-
/'3&
$$0+3'!&/;J3+0.
$3.0-0./$0- 0.!-
>
+&+($
!'$$0/&+
$
+<
-6
(&-!0&+
..
0%($!
/7
)+8+$0!.08
7
)+'3&
$,&+
(-
/
(
.!-/&+
/P3
$
+<
-!:+=&'$'.'09&:+!0(-
$!.0<0+!.0/7
)+;
)23,!$ + $ -+!'/0 0$0=&'
$ &!'$'<
%0- $ !D.%'+0 + !D.%'+0- 0.%
$- / $
F-' $
(.3&+!
-0.%&$
-F@9&:$-$
/$
..
0%($!
/7
)+;
%@)AB)&)&B
E.
!%0-
60.
/
0./
.(.0$%
-+$0-=&-!:+'+20$& .
/
-$
-.
'0+-0/.:-/
.! &+!
/
)%0+&-!.
2'/
0!'/'
+
-!:(.%
/
(0.-!!'(0/+"%.0-
1"+!+=&'(0(
.
!.
!
./.-0$2.$
--'3&'+!-
!'2'/
/-?+0!
$
--!.
!3'
-,($
+!
%'+!0-
=&&!'$'<
-+!& &
/.+0
<
%
3'+
=&!'+-$0--'3&'+!-+2
--=&%'/+ '.!
+!'/
//
<" . /
&+0/$$0-@
P'$0 QP'$0 QP'$0
B-
%0-.&+'.&+P'$03.
%0/
<" . 0+$0-+2
--9B &:+!
-%
+.
-/'.+!-(&/-.&+'.P3
/
<" .;0%0(&/-0-.2
.8/$0=&-!.
!
=&F-/-&%
..
'0+- 0+ P38 P3, P3 1-(0+/+!0+ -@
9B &:+!
-%
+.
-/'.+!-(&/-.&+'.,%/'0P'$03.
%0/
<" .;
9B &:+!
-%
+.
-/'.+!-(&/-.&+'.RP'$03.
%0/
<" .;
!'$'<
+/0$0-%/'0-,$0- &
.!0-89(&/-6
.P'$0-;
9)%0;
/ '=&'.-SP'$0-/
<" .&!'$'<
+/0-)$0$0- &
.!0-89(0/.F
-6
.$0;
9)%0;
0%(
.
!&-.-(&-!
- 0+$
-/!&- 0%(
4.0-
=
/
2<=& $-&$08&+
($0!
.0!
$
-
(
.!-/$
$!&.
/-/$
=&6
F/0'-$/7
./&+
$!&.
/%!.0-
9?=&D
$!&.
$$3
.:/-(&D-/$(.'%..0!;
9?=&D
$!&.
$$3
.:/-(&D-/$-3&+/0.0!;
9?=&D
$!&.
$$3
.:$
($0!
/-(&D-/$!. ..0!;
&/-6
.&-0//'&70-(
.
,&/
.!
.-(0+/.$
-(.3&+!
-
%?
+
0!$$
!'+
/$'!.0/7&30/+
.
+7
80!.
!'+
/$'!.0,&+
!. .
!'+
9M&D +!'/
//7&30/+
.
+7
!'+++!.$
-!.-0!$$
-;
9&:+!07&30/+
.
+7
!'+$
(.'%.
0!$$
%:-=&$
-3&+/
;
%>
'$6I:30+0-'3&'+!.(.-+!
&++!.08
9M&D.
')+.(.-+!
/
&+
/$
--'3&'+!-0.%
-;
9M&D.
')+/$6I:30+0.(.-+!
9M&D.
')+/$6I:30+0.(.-+!
;
B'/0
$%
$!'%(08&+ ' $'-!
2'
7)$/F
/
,.-0$
%+!
/F
/60,8,
/-&. 0..'/0B '/')2'
7
.
$
$/F
/%
4
+
9&:+!0$
$!
.:(
.
$$3
.
$'+
$/-&. 0..'/0(
-
/0%
4
+
;
B+0!
.%0-
$. 0..'/0 0%($!0=&/ !&
.$ ' $'-!
0%0$
! '
,.2'
7)
/$
,%
4
+
=&'.. 0...
/D$8+!0+ -6
.:. 0..'/0+!0!
$6
-!
$/F
/
%
4
+
O
O
/$ . 0..'/0 $!
(0. . 0... @ T
/$
. 0..'/0860,
. 0..'/0
+. '('+! 0+!'+
3&
6
-!
$0-
/-& (
'/
/'--
$
%'!
//$
3&
=& 0+!'+8
9M&D.
')+/$
(
'/
//$. '('+!-6
-
/0;
'$
(
'/
//$. '('+!-/$'!.0-89 &:+!0-$'!.0-=&/
++$%'-%0;
' $ . '('+! 0+!'+ 3&
$0-
/ -& (
'/
/8 $ -
. $
%'!
/ /$ 3&
+0- =&/
/$
(
'/
//$. '('+!
/$$
,(0.$0!
+!0
'$
(
'/
//$. '('+!-/$'!.0-8 0%0"+' %+! 0+!'+
. '('+!6
,
/-& (
'/
/8 +$
$'!.0-
?60.
8-'-I!.
$
%'!
//-!0-$'!.0-+0-=&/
.F
+"+' %+!$'!.0-+$. '('+!
0%(.)&+ 0-!
$$$+0/
$('-!(
.
$'%+!
.
&+ +
.'0$(.'%./F
8$ +
.'0- 0%')
!0!
$/
$('-!$-3&+/0/F
- 0%')
/$
/$
$('-!.-!
+!,$!. ./F
0%')
/$-0.
+!
B$!0!
$/
$('-!=&6
F
+$ 0-!
$89=&D.
')+=&/
;
1(.-+!%0-
$ 0-!
$$$+0/
$('-! 0+$
&+'/
/
$(.'%./F
8- 0%')%/'0 0-!
$/
$('-!8$0.(.-+!
%0-
-F@ 0-!
$/
$('-!-
0-!
$/
$('-!
$-3&+/0/F
- 0% /$
$('-!.-!
+!@
- 0%/$ 0-!
$/
$('-!8,$
/ 0-!
$/
$('-!
=&/
@
$!. ./F
8/$0=&$=&/
8=&/$ 0-!
$/
$('-!8- 0%
=&.(.-+!
%0-
-F@
?-F8/-(&D-/$!. ./F
$=&/
/$ 0-!
$/
$('-!
0%'),$=&/
01- 2#2C!- #3!"D:!! #3# !
5&6)
(
.!--0+
$&%+
-
><+&+
$
-6
,-!&/'
+!-8/$0- &
$-$
9&:+!
-
$&%+
-6
,+-!
$
-;
9U &:+!0-
$&%+0-;
&-!'' !&.-(&-!
>= 9M&D2
.'
')+I(.'%+!
&+
.
')+-' - %&$!'($' (0. $ +&%.
/0. ,-/'2'/+!. $
/+0%'+
/0.;
&-!'' !&.-(&-!
?
$08&+
.' +!/ 0.!'+
-8/-
6
.!.-(
.-'/D+!' 0-/ 0.!'+
-' /
(
.+ -'!
%!.0-/%
!.'
$89 &:+!0%
!.'
$+ -'!
+!0!
$;
>?&+
(.-0+
=&$(.3&+!
+ &:+!0(-
8.-(0+/@V
%'!
//$
&
.!
(
.!/%'(-0-'3&
$
P'$03.
%0-9&:+!0(-
-
(.-0+
;
+
. !
/ 0 '+
+ -'!
(.'%.0 !
<
-/6
.'+
8,$&30-/
3.3
. !
<
-/
6
.'+
%:-9&:+!
6
.'+
+ -'!
$
. !
;
-'+-!.& '0+-(
.
(.(
.
.&+(
20'+/' +=&-'D-!(-
/
P'$03.
%0-8/60.+
.-
W /&.
+! %'+&!0- (0. P'$03.
%0 B'
+
/-
60.+
. &+ (
20 / P'$03.
%0- 9&:+!0
!'%(0/-!
.$(
20/+!.0/$60.+0;
%+
+.%.
/-&%'+'-!.
.
/%/' %+!0(0. /
P'$03.
%0/%
-
/$(
'+!'&+
(.-0+
(-
J0 !'+ &+ %
-
/ P'$03.
%0-8 /!.%'+
$
+!'/
/ / %/' %+!0 =& /
-&%'+'-!.:.-$
;+&+(&-!0/.2'-!
--6
+2+/'/0
$0$
.30/$
%
4
+
$0-
/&+$0!/(.')/' 0-0.$
!
./-6
2+/'/0$
%'!
//$0-=&6
F
+=&/
/0+$
%
4
+
9M&D.
')+/$!0!
$/(.')/' 0-
.(.-+!
+$0-2+/'/0-(0.$
!
./;
'+0-6
+2+/'/0(.')/' 0-89 &:+!0-6
F
$%(<
.$
2+!
;
+ 0%. '
+! !'+ !.- !'(0- / D@ %I' +08 &
+0 , 0$0%'
+0 $ (-0 !0!
$ - / P'$03.
%0-'$(-0/$ D%I' +0-$0-
/$!0!
$,$/$ 0$0%'
+0$0/$0=&=&/
8
9 &:+!0-P'$03.
%0-/ D6
,/ /
$
-;
+!D.%'+0-0.%
$-/$
F-' 8$0-P'$03.
%0-+0%'/+$C-'+0$
%
-
8+-! -08
+
0!$$
!'+&+
(
'/
//
/$'!.0,0!.
/
/$'!.0I($' @
9&:$/$
-/0-0!$$
-!'+%
,0. (
'/
/;
'$
-/0-0!$$
--!:+$$+
-/
3&
89=&D!
+!
3&
6
,+$
-/0-0!$$
-7&+!
-;
'/$
(.'%.
0!$$
!0%0$
%'!
//$
3&
,/$
-3&+/
!0%0/0-!. .
-(
.!-/-& 0+!+'/08
9 &:+!
3&
%=&/
+ /
0!$$
;
9&:+!
3&
=&/
+$
-/0-0!$$
-7&+!
-;
A'+
$%+!89 &:+!
3&
0+-&%F;
<+ .!.0/7)+&+
0' '+
&+-I!0/$!0!
$/$
- .!
-=&$$2
C+&+
+ 0/7
/0-+02+0-
/$.-!0,!0/
2F
!'+ .!
-(0..(
.!'.9&:+!
- .!
-$/'.0++$
0' '+
/ 0..0-(
.
=&
.(
.!'.
;
=+
(.-0+
(-
+X!0+-+$
E'..
'+.
+0-&(-09 &:+!0(-
+.
+0;
/$(-0=&!'++$
E'..
8
B
E+%0-
60.
($+0 0+0 '%'+!0/ )%0-/'++80(.
+,-
($' +$0-+"%.0-.
'0+
$-8!
%'D+
0+0 '/0- 0%0 .
'0+- '+ %
.308 $0- +"%.0- .
'0+
$- !
%'D+ - .
!.'<
+ (0. !+. &+
/-
..0$$0
>&+)5&+)&B
%0-=&&++"%.0.
'0+
$(&/-.- .'!0/$
0.%
0+
+"%.0-+!.0-,
Y?$
!&
.$
/'2'-')+/+!.
$$3
%0-
$
##!. !#
0.7%($08(
.
- .''.$
0.%
/ '%
$/
!&
%0-$
/'2'-')+@
&,0.-&$!
/0-&/-2.'' .=&$.-'/&0/-!
/'2'-')+- .0
B'3&
$%
+.
=&'2
$
!&
.$
/'2'-')+@
U/
0%0.-&$!
/0
-.2
=&$.-'/&0/-!
/'2'-')++&+ 2
-. .08,=&$+"%.0-.(!'.:'+/'+'/
%+!
/-(&D-/$(&+!0/ '%
$
E
%'D+
-(&/- .''. 0%0
$ !&
.$
/'2'-')+/+!.
0+$0-7%($0-
+!.'0.-8+0-/
%0- &+!
/=&$
(
.!/ '%
$/&++"%.0.
'0+
$-'+'!
80'+8
6
,/ '%
$-=&-.('!+J'+/'+'/
%+!+!D.%'+0-0.%
$-8$/-
..0$$0/ '%
$/&++"%.0
.
'0+
$(&/-./!.-!'(0-@
>B '%
$-/ ! @-0+
=&$$0- &,
(
.!/ '%
$!'+&++"%.0'+'!0/ '.
-
0.7%($08
,
B '%
$--, - @+-!
I(.-')+8!0/
$
(
.!/ '%
$-.('!'+/'+'/
%+!
+$0=&-0(.'0/0-/+"%.0-
+ -! -08 $-.('!'+/'+'/
%+! /' +!0+ -=& - $
(.'0/0 , $ +"%.0 / '%
$ - (&/ - .''. -F@ B '3&
$ %
+.
,
0.7%($08
& $
..
'+/' $3.&(0/ '.
-=&-.('!+'+'+'!
%+!+-0./+$(.'0/0/&+/ '%
$
(.')/' 0 - $ 3.&(0 / '.
- =& - .('!+ '+/'+'/
%+! ?-F
!'+ (.'0/0 8
!'+(.'0/08! B '%
$--, / @+$
0.%
/ '%
$+ 0+!.
%0-&+
(
.!=&+0-.('!
,0!.
=&-.('!'+'+'!
-2 -
0.7%($0
+$
(
.!/ '%
$$+0-.('!,$-.('!'+'+'!
%+!8/%
+.
=& E
%'D+
,(0."$!'%0
& $?$ 0+7&+!0/ '.
-=&+0-.('!++0-$-(0+
..
0/%0- 0+ $&'.=&$
.(.-+!
')+ / '%
$/$+"%.0.
'0+
$
/ '%
$'+'!
0/ '%
$(.')/' 0+ +!.0-, Y8-
&+)5&B+)&
L
-!
=&F-6
2'-!0=&!0/0+"%.0.
'0+
$(&/I(.-
.- 0%0&++"%.0/ '%
$'+'!00/ '%
$
(.')/' 09$(.0 -0
$
'+2.-
-.: '.!0;
.-(&-!
--F$(.0 /'%'+!0-/'.+!(
.
/
&+0
/$0-!'(0-/+"%.0-/ '%
$-
?@B?AE
0+-'/.%0-$+"%.0/ '%
$'+'!0 ,!.
!%0- / - .''.$0 + 0.%
/ .
')+
'/
-
%&$!'($' .,/'2'/'.$+"%.0/ '%
$,
-
(0.888! 8J/(+/'+/0/ &:+!0-+"%.0--
+ &+!.
+
$
/. 6
/$(&+!0/ '%
$+-! -086
,!.-/F3'!0-/-(&D-/$(&+!0/ '%
$8
-F=&
%&$!'($' %0-,/'2'/'%0-+!.@
0.$0!
+!08 ?@B?1B1
+-! -08 %'
.%0-&+/ '%
$(.')/' 0(&.0
.
')+
0+-'/.%0- $ / '%
$ $
%
.%0- $ / '%
-!0 -8
0%0$
+!'/
///F3'!0-=&0.%
+$(.'0/0-&+0J+-! -0$(.'0/0-8
+!0+ -%&$!'($' %0-(0.
%0-$
/0-/$
'3&
$/
/@
J
J
?60.
8.-!%0-J/J@
ZZ
ZZZZZZZZZZZZZ
0."$!'%08.-0$2
%0-$
&
')+ B-(7
+/0@
&/- 0%(.0
.$.-&$!
/08 !&
+/0$
/'2'-')+/+!.
-!0-8(0.(0!+ '
-/@
! 0+-'/.%0-
60.
8$/ '%
$ $
%
.%0- $/ '%
$ -!0
-8 0%0$
+!'/
///F3'!0-=&0.%
+$(.'0/0-/0-J+-! -0$(.'0/0-
8+!0+ -%&$!'($' %0-(0.
%0-$
/0-/$
'3&
$/
/@
J
J
?60.
8 !&%0-$
.-!
J/J@
EE ZZZZZZZZZZZZZZZZZZZZ
0."$!'%08.-0$2
%0-$
&
')+ B-(7
+/0@
&/- 0%(.0
.$.-&$!
/08 !&
+/0$
/'2'-')+/+!.
?@B?1B[E
?+
$' %0-$ -0(
.
0+2.!'.&+/ '%
$(.')/' 0%'I!0
.
')+
E0%%0- 0%07%($0$+"%.0/ '%
$ $
%%0-
$+"%.0 -!0-@
J
&$!'($' .%0- ,
-
(0.888! J$0=&+ -'!%0-(
.
=&$+&20+"%.0-
&+
/ '%
$(.')/' 0 (&.0+-! -08
%0-$
/0-/$
'3&
$/
/ J -/+%&$!'($' .(0.,
$
!&
.$
%&$!'($' ')+$0=&.-&$!-
&+/ '%
$(.')/' 0(&.0@
J
-.2
=& $ +&20 +"%.0 ,
- (.')/' 0 (&.0 13.-%0- +!0+ - $ (.0 /'%'+!0 /$
? 0%0 $
+!'/
/ / /F3'!0- =& 0.%
+ $ (.'0/0 - /0- J+ -! -0 $ (.'0/0 - 8
%&$!'($'=&%0-
%0-$
/0-/$
&
')+J(0.@
J! J
J
J
1-!%0-$
&
')+J/$
&
')+J@
ZZ
ZZZZZZZZZZZZZZZZZZZ
B-(7
+/0/$
.-!
+!.'0.8$$3
%0-
=&
0+-'/.%0-
$/ '%
$(.')/' 0%'I!0 $
%%0-
$+"%.0 -!0-8
J
+-! -08
%0-$
/0-/$
'3&
$/
/J-/+%&$!'($' .(0.8,
$ !&
.$
%&$!'($' ')+$0=&
.-&$!-.:&+/ '%
$(.')/' 0(&.0@
J
-.2
=& $ +&20 +"%.0 ,
- (.')/' 0 (&.0 13.-%0- +!0+ - $ (.0 /'%'+!0 /$
? 0%0 $
+!'/
/ / /F3'!0- =& 0.%
+ $ (.'0/0 - !.- J+ -! -0 $ (.'0/0 - 8
%&$!'($'=&%0-
%0-$
/0-/$
&
')+J(0.@
J! 1-!%0-$
&
')+J/$
&
')+J@
ZZ ZZZZZZZZZZZZZZZZZZZZZZZZZZZ
B-(7
+/0/$
.-!
+!.'0.8$$3
%0-
=&
J
J
5&6)
?- .'$
--'3&'+!-.
'0+-+0.%
/ '%
$@
8
8
8
8
8
8
8
8
,
>- .'+0.%
/.
'0+-$0--'3&'+!-+"%.0-/ '%
$-@
8
8
8
8
8
8
8
8
8
8
,
8
)@)&)A&&)B+)&
0%0!+%0-/'.+!-.(.-+!
'0+-/+"%.0-8- 0+2+'+!,=&'<:+ -
.'0 0%'+
.+"%.0-
=& -!D+ - .'!0- + 0.%
- /'.+!- ' - -&%
+ +"%.0- - .'!0- 0%0 / '%
$- , 0!.0- 0%0
.
'0+-8+!0+ --.=&.'.: %'
.!0/0-$0-+"%.0-
$
%'-%
0.%
\/ '%
$0.
')+\ ,
!&
.$
0(.
')+'+/' /
&%
, %'
+/0 / '%
$@ %'
+/0
.
')+@ &%
,
%'
+/0
/ '%
$@
%'
+/0
.
')+@
&%
, %'
+/0 / '%
$@ %'
+/0 .
')+@
8
1-!
/,
%'
+/0
/ '%
$@
%'
+/0
.
')+@
5&6)
!"
$
-0(.
'0+- 0%0+$0-7%($0-?,>@
%&'))&B
)&6&)B)&')B
&'))&B
L%0- 0%+!
/0+(:3'+
-
+!.'0.-=&$
.(.-+!
')+/ '%
$/&++"%.0.
'0+
$
0+
+"%.0-+!.0-,
Y-&+#! 0&+#-, 1-&$!
=&$
(.0(0-' ')+'+2.-
!
%'D+-2./
/.
@
E0/0+"%.0"
0#-&+!. !#C
-/ '.8-(&/.(.-+!
. 0%0&+
,!
.089I'-!'.:++"%.0- &,
(
.!/ '%
$+0!+3
(.'0/0;
.-(&-!
--F@
7%($0-@
8
]0.%:-=&'+!+!-.(.-+!
.-!0-+"%.0-/ '%
$- 0%0.
'0+-.-&$!
.:'%(0-'$6
.$0^0-
7%($0-
+!.'0.-- 0+0 + 0%0
$%
?$0-+"%.0-=&+0-0++'+!.0-+'.
'0+--$-$$
%
# " !#
0- +"%.0- '..
'0+
$- (
. + + $
6'-!0.'
/ $
- %
!%:!' - 2'+ &$
/0- $
30%!.F
8 &
+/0
0+-'/.
+(0.7%($08&+!.':+3&$0. !:+3&$0/ !!0-
v
1-&$!
=&$
%/'/
/$
6'(0!+&-
/-!!.':+3&$0-7&-!
%+!&++"%.0'..
'0+
$ 0+0 '/0
0%0 .
!.F-!' (.'+ '(
$/$0-+"%.0-'..
'0+
$--=&-&I(.-')+/ '%
$+0!'+
(.'0/0B6 608!0/
-$
-F=&+0-0+I
!
-8-0+7%($0-/+"%.0-'..
'0+
$-@
&(&-!
%+!8 $
-%
3+'!&/- '+ 0+%+-&.
$- &.0+ /- &'.!
- (0. $
- &$
'!
3).' 8 + $ -'3$0 N
8 %'+!.
- -
'+!+!
+.-0$2.(.0$%
- 0%0$
.$
')++!.$
/'
30+
$,$$
/0/&+(+!:30+0.3&$
.
%
!%:!' ('!
3).' -
-
+$0-+!.0-(0-'!'20-,+!0/0$0=&-I(.-
$+!D.%'+0-/0(.
'0+-+!.$$0-C(0.$0!
+!08
$0-&%0-$$3)
0+-'/.
..
'0+-(0-'!'2
-,-+ 0+!.)=&-!
- +!'/
/-+0.
++'+"%.0-+!.0-+'.
'0+--!0-/')
=&-
0+ F
+$
-'3&.
- 0%0 0+-!'!&'/
-(0.&+
+!'/
/'+'!
/(&+!0-$/- &.'%'+!0/%
3+'!&/-'+ 0+%+-&.
$-(&-0+
2'/+ '
=&!
$-&(0-' ')+.
$-
8,=&%& 6
-/%0-!.
'0+-/$
30%!.F
.
+!
%'D+
$-
-0-!
+'+ 0%($!
-&/0I0
J_
8-!&/'
+!/$
? /%'
/$
!)+8/'+')$
'3&
$/
//(.0(0. '0+-
($' $(
.
$0- -0-.
'0+
$'..
'0+
$8,
(.%'!')$
2
+ /$
30%!.F
/-(&D-/-&-!
+ %'+!0!%(0.
$'$!%
!'+!.-
8('/'+0.%
')+
!&(.0-0.
v
!.0+"%.0'..
'0+
$
%0-0-$+"%.0 H =&.(.-+!
$
$0+3'!&//&+
'. &+.+ '
/
/':%!.080'+8$
.
<)++!.$
$0+3'!&//&+
'. &+.+ '
,-&/':%!.0
v
?-'%'-%08I'-!&++"%.0'..
'0+
$=&-@
8 0+0 '/0 0%0!. 0I,!D
01!#!$" F:! !D ! ,! 2 !. :F #"! -# !#3 !
)&6&)B)&')B
.
0%(.+/.%70.$
'+!..$
')+=&I'-!+!.$0- 0+7&+!0-/+"%.0-86
.%0-&+. &+!0/$0-
=&6%0-&-
/06
-!
60.
@
v
+' '
%0-!.
7
+/0 0+$ 0+7&+!0/$0-!. !#888888,$0-/+0!
%0- 0+$
$!.
v
0- +"%.0- +
!&.
$- 0.%
+ (
.! / 0!.0 3.&(0 %:- 3.
+/ =& 0+-!
/ $0- +"%.0- +!.0-
+3
!'20-8$+"%.0 .0,$0-+"%.0-+!.0-(0-'!'20-?-! 0+7&+!0-$-$$
%
$ 0+7&+!0/$0-
!. ! =&-0+@ T8T8T8T88888,$0-/+0!
%0- 0+$
$!.
B-!
%
+.
8$0-+"%.0-+
!&.
$-!
%'D+-0++!.0-
v
B-(&D-8 /'+'%0- $ 0+7&+!0- / $0- !. !#8 %70. 0+0 '/0- 0%0 .
'0+- 0-
/'+'%0- 0%0$0-=&-(&/+I(.-
. 0%0
/0+/,-0++"%.0-+!.0-8 8,$0-
/+0!
%0- 0+$
$!.
1 0./%0- =& /
+"%.0+!.0(&/- .''.- 0%0&++"%.0
.
'0+
$8,
=&"+' %+!$ 0$0 %0-
/
&+0/$$0-8$/+0%'+
/0. U
/'7'%0-=&$0-
+"%.0+
!&.
$--0++"%.0-+!.0-,8
-&2<8$0-+"%.0-+!.0--0++"%.0-.
'0+
$-B-!
%
+.
8!
+!0$0-+"%.0-+
!&.
$- 0%0$0-+"%.0-+!.0-8-0++"%.0-.
'0+
$-
v
U(0."$!'%086
$
%0-/$0- !. !#@ =&D$$0-=&+0-0++'+!.0-+'.
'0+-C0
'+8
=&D$$0- &,
(
.!/ '%
$+0!'+(.'0/00-/+0!
%0- 0+$
$!.
0-
+!'3&0-3'( '0-J6
'
,
-
F
+\-3&.
%+!/0.%
'+!&'!'2
\=&I'-!F
&+
.$
')++!.$
$0+3'!&//$
'. &+.+ '
,-&/':%!.0C,+!.$:.
/$ F. &$0,$.
/'0
$ &
/.
/0+$&'(
(&/$.-$0-'3&'+!@`0.!
Q /$ /':%!.0 , 0+-!.&, &+ &
/.
/0 -0. $
$0+3'!&/ .-!
+! -! &
/.
/0 !'+ $
%'-%
:.
=& $ F. &$0` +
-0(0!
%'
8%:-0%+0-(0.$
%'-%
D(0 8$0-
'$0+'0-&!'$'<
+$2
$0.OQ8-3"+=&/
.3'-!.
/0+$
)*+
3&.
%+!8-'6' 'D.
%0-&+
+ &-!
(.-0+
-(.3&+!:+/0$-
. /-&+"%.0(..'/08+'+3&+
0+!-!
.F
=&-$
a.0-3"+(
. 8D-!-,6
-'/0$+"%.0(..'/0/$
6&%
+'/
//&.
+!%'$-/
40-06
,%:-=&!0%
.&+
!
.7!
/ .D/'!08&+0$'00&+$'.08,/'2'/'.-&
$!0+!.-&
+ 60(
.
!0(
.- 0+$ L
$
+/0%
!%:!' %+!8$ +"%.0 &(,-! \=&
-F-$$
%
\ -$.-&$!
/0//'2'/'.&+
/'
30+
$ &
$=&'.
+!.&+$
/0 &
$=&'.
/&+(+!:30+0
.3&$
..0!
%'D+$0(0/%0- $ &$
.%/'
+!$
-('+!&.
-%:-
/%'.
/
-J0+
./0B
N'+ '8B
$F8,
!.
2D-/$
.=&'! !&.
%:-
(. '
/
J'.:%'/-/b0(-80!.B
%8
.!+)+-!
-0.
-3&
./
+$
#
.++ /
&+
/-&-(
.!-
v
$ 0+7&+!00.%
/0(0. $0- !. !# !#8 - $$
%
0+7&+!0 /$0- !. #,-/+0!
0+$
$!.
?60.
!(.-+!
%0-3.:' %+!$
.$
')+=&!'+ /
0+7&+!0/+"%.0- 0+$.-!08 0+0.%
+/0
-F$
!0!
$'/
//$0-+"%.0-=& 0+0 %0-,&!'$'<
%0-@
JB)&6&)B)&')B
;K)&@)@))&
;>K)&
+0/$0- 0+ (!0-%
!%:!' 0-%:-&!'$'<
/0--$/$
/#
0.7%($0@$
'+ $'+
')+/&+!7
/08
$
-
%($'
'0+-0./& '0+-/0!03.
F
-,$(.0%/'0//F
-$&+-=&6
,+/0--%
+
-(&/+
I(.-
.- 0%0&+
.
<)+
?+!.'0.%+!!.
!
%0- 0+$0-+"%.0-.
'0+
$-@$0-=&-(&/+I(.-
. 0%0&+ 0 '+!
0
0 /0+/ 0 -0++"%.0-+!.0-
.
<)+-- .' 0%0&+
.
')+J+3+.
$(0-'!'2
$
&
$-$(&//
.0!.0!'(0/'+!.(.!
')+C=&%:-
/$
+!2.%0-
0@!! !- :! !#"!3"#I#
! 4- ! 4- # # 2! : F # - !
#4 ! 4# 4
%
%
3'+
=&/-(&D-/6
. 0%(.
/0+$
(
($.F
&+
0$-
/3$00-(
.
&+
'-!
8$$3
-
!& -
,
!+ &+!.
-=&/$0-3$00-/$
0$-
8-0+.070-8
<&$-8
%
.'$$0-82./-,+3.0-
I(.-
+0.%
/.
'0+-@
9&:$-$
.
<)+/$0-3$00-.070-.-( !0
$!0!
$/3$00-;
9&:$-$
.
<)+/$0-3$00-
%
.'$$0-.-( !0
$0-3$00-.070-;
9&:$-.:$
.
<)+/$0-3$00-2./-,+3.0-8.-( !0
$!0!
$/3$00-;
9E'+-+!'/0-!
"$!'%
(.3&+!
;
&-!'' !&.-(&-!
%
&(0+3
%0-=&!
($' +&+
+ &-!
/(.3&+!
-(
.
0+0 .!&0('+')+.-( !0/&+(.0/& !0
=&-
$')
$%. /08,=&/$
-(.3&+!
-8+0.-(0+/'-!8,/$
-=& 0+!-!
-!8&.0+.-(&-!
-
$-
-
9&:$-$
.
<)+/$
-(.3&+!
-=& 0+!-!
-! 0+$!0!
$/$
-=&!+F
$
+ &-!
;
9&:$-$
.
<)+/!&-.-(&-!
-
$-
-.-( !0
$!0!
$/$
-=&.-(0+/'-!;
'!'+-$
-'3&'+!.
<)+@
9 )%0$
(0/.F
-'+!.(.!
.+$
+ &-!
;
- .'&+
.
<)+(
.
/
&+
/$0--'3&'+!-+&+ '
/0-
!
!
.
<)+/60.
-
60.
-
.
<)+/60.
-
/F
-
!
-!
.
<)+(&/- .''.- 0%0
!
.
- .''.-!
.
<)+8(.'%.06
,=& 0+2.!'./F
-+60.
-@
%0-=&/F
!'+60.
-C/-!
%
+.
8/F
-J60.
-60.
-
B-!
%
+.
8$
.
<)+/60.
-
/F
--
+
(.-0+
8
$ 0%(.
.&+
7
0+%
+<
+
-80-.2)=&-
$'.0+%
$!.
!
/
-9&:$-.:$
.
<)+
/$
-%
+<
+
-%
$!.
!
/
- 0+.-( !0
$!0!
$;
?$ 0%(
.
.$
-%
+<
+
-%
$!.
!
/
- 0+$!0!
$8$0.(.-+!
%0-%/'
+!$
.
<)+@
-'%($'' +/08!+%0-=&
-!0$0(0/%0-'+!.(.!
.
-F@V/ /
%
+<
+
-8&+
-!:%
$!.
!
/
c
+ -.2' '0 / $'%('<
/ $0%.
- 0.
> (0. $'%('
. &
.!0- $0%.
/0- / $
- %'-%
-
/'%+-'0+-9&:+!0 0-!
.F
$'%('
.&+-)$0 &
.!0
$0%.
/0;
.'%.0=&.%0-+ 0+!.
.$ 0-!0(0. &
.!0@
-!0$00!+/.%0-
$+ 0+!.
.$
.
<)+@
B-!
0.%
8 /
&
.!0 0+$
-%'-%
-/'%+-'0+-!+/.:&+ 0-!0/>
0+$0-7%($0-
+!.'0.-8(0/%0-/
.&+
/'+' ')+/.
<)+@
I,!-$.-&$!
/0/ 0%(
.
./0- +!'/
/-@
-$
-,!- !//0-+"%.0-+!.0-(0-'!'20-
-! 0 '+!-'+!.(.!
0%0$+"%.0/2 -=&&+0/$$0--%
,0.=&$0!.0
-.
<0+--.(.-+!
+%/'
+!.
'0+-/$
-'3&'+!%
+.
@
/0+/ E
%'D+6
,0!.
0.%
/.(.-+!
.$
.
<)+@
'-!'+$
.
<)+
-&.(.-+!
')+=&'2
$+!- 1 0B"!3 !L#- 4- M! !# - !: # !#"! # -8 !#- 5&6)
- .'$
.
<)+(
.
/
&+
/$0--'3&'+!-+&+ '
/0-@
!
!
.
<)+/$0-/F
-$&+-+/0--%
+
-
.
<)+/$0-+"%.0-(
.-+$0-(.'%.0-+"%.0-+
!&.
$-
%B!.%'+
$
.
<)+,- .F$
+-&%F+'%
I(.-')+
!
!
!
2!
%'+&!0-
60.
-
/F
-
60.
-
%'+&!0-
60.
%
%!.0-
;+0-')$030-%
.'+0-6' '.0++&+$
30$
-!'%
')+/$+"%.0/( -, $ &$
.0+=&6
,
?$3&+0-/D-!0--0+ .(
-,0!.0-$0'+
-0-')$030-.
-!.
.0+$$
30,(- .0+ .(
- ,
$0'+
-
!
!
9&:$-$
.
<)+/ .(
-.-( !0
$
-$0'+
-(- /
-;
9&:+!0-( -6
,/ /
!'(0;
+!'+
0!'+ (
'/
/(
.
$'!.0-' 0+!'+
/
3&
/-& (
'/
/!0!
$8, /
&+0/
$0--'- %'%.0-/&+
%'$'
&-
$'!.0-(
.
4
.-89
$ +<
.:$
3&
(
.
=& !0/0-(&/
+
4
.-;
+&+I
%+/0( ')+%"$!'($8&+0/$0-
$&%+0- 0+!-!) 0.. !
%+!/$
-(.3&+!
-
!
9&:$-$
.
<)+/(.3&+!
- 0.. !
-8.-( !0
$+"%.0!0!
$/(.3&+!
-;
!
9&:$-$
.
<)+/$+"%.0/.-(&-!
-'+ 0.. !
-.-( !0
$+"%.0/.-(&-!
- 0.. !
-;
!
9&:$-$
.
<)+/$+"%.0/.-(&-!
-'+ 0.. !
-.-( !0
$+"%.0!0!
$/(.3&+!
-;
2!
9B=&D%
+.
(0/.F
-0!+.$
.-(&-!
+!.'0. 0+$
.-(&-!
/$'+ '-0!;
<+-!&/'
+! 0+!-!
(.3&+!
- 0.. !
-/+&+I
%+8,/+0!.0I
%+9+=&D
I
%+0!&20%70. $'' ')+;
=
.30,
+ 60/&+. !:+3&$0-!:++&+
.
<)+/@'-&(.F%!.0-/ %8/!.%'+$
$0+3'!&//$$
.30,
+ 60/$. !:+3&$0
;@)@))&
+ 0+ (!0$'3
/0 0+$
-.
<0+--0+$
-
?-'%'-%08$
-(.0(0. '0+--!:+.$
'0+
/
- 0+
$
-.
'0+-=&'2
$+!-0.7%($08(
.
.-0$2.$
-'3&'+!(.0(0. ')+
'%($' + 0+!.
. $ 2
$0. / $
8 (
.
$ &
$ $
- .
'0+- -0+ =&'2
$+!-C , -!0 - &%($ -'
.
. 0./
..
'0+-=&'2
$+!-8(&/-. &..'.
$
(
.!
/0
--'3&'+!-
!'2'/
/-!(.%'!'.:+'.
-0 '
+/0-!0-/0- 0+ (!0-
%%
+&+%
(
/$
1("$' I' +
- $
: .(.-+!
'/0- '&/
/--!:+-(
.
/
-
(0.+$%
(
89 &:$-$
-(
.
')+.
$/$
-/0- '&/
/-;
%;
'$-0+'/0. 0..+$
'.&+
/'-!
+ '
/+ 3 9 &:$-.:$
/'-!
+ '
=&. 0...:+
%'+;
'$-0+'/0. 0..')89 &:+!0!'%(0$$$2). 0...-
/'-!
+ '
;
%
+
(.0('/
/2
$&
/
+>8/(
3
.
$
!-0..F
/$30'.+0/$BA(0.'%(&-!0-
+&
$-
>9M&D'%(&-!0-/.: 0.
.$
!-0..F
(
.
&+
(.0('/
/-'%'$
.2
$&
/
+>;
+-
-!. 0%(.)%!.0-/!$
,(
3)(0.$$
>'+ -'!
%!.0-/$
%'-%
!$
89 &:+!0
/(
3
.;
!'$'<
+/0.
<0+-8(0/%0- $ &$
.$(. '0/$%!.0/!$
0+$0-/
!0-=&!+%0-
.
<)+/$0-
%!.0- 0+.-( !0
>-@
?-F%'-%08-!
.
<)+/-.'3&
$
$
.
<)+(
.
%!.0-C-!0-@
/0+/-$2
$0.=&/(
3
.(
.
%!.0-
?-F=&@
B-!
0.%
8$0-%!.0-/!$
0-!
.:+>
+ &+!.
$2
$0./$
'+ )3+'!
8+$
-'3&'+!(.0(0. ')+@
?$0!+.$0-(.0/& !0- .&<
/0-@
I
I
I
'-.=&'.+6&20-,P3/6
.'+
(
.
$
$
0.
')+/&+(
-!$89 &:+!0-6&20--.=&.'.:+
(
.
P3/6
.'+
;
"%.0/6&20-.=&.'/0-(
.
P3/6
.'+
B-!
%
+.
8(0/%0- $ &$
.$
.
<)+/
6&20-(0.P3/6
.'+
0%0
-'%'-%08-!
.
<)+/-.'3&
$(
.
P38-!0
B-!
%
+.
0!+%0-@
?-F8(
.
P3/6
.'+
8-+ -'!
+6&20-
0+-!0-7%($0-8(0/.%0-/
.&+
/'+' ')+/(.0(0. ')+@
@ - ,!-$
=&'2
$+ '
+!./0-/
B0-/
0.%
+&+
- - ,!-0$
%+!-'$0-(.0/& !0- .&<
/0--0+'3&
$-
-!0+0-$$2
$
- -!!##- - !@
-',-)$0-'8/0+/45
5&6)
%? 3"+$
'+0.%
')++&!.' '0+
$/&+
7
/-(:..
30-8 &
!.0('<
-/-(:..
30- 0+!'++
$0.F
-9&:+!
-('<
-/-(:..
30- 0+!+/.:+ $0.F
-;
%>3"+&+
!
$
+&!.' '0+
$=&2'++&+. !
.'08!.-0+<
-/6&
6'+
+30(.02+3.
%0-/
(.0!F+
-9&:+!
-0+<
-(.0(0. '0+
.F
+3.
%0-/(.0!F+
-;
%+
&!0%)2'$(&/. 0...&+
/'-!
+ '
/P% 0+$'!.0-/3
-0$'+
9&:+!0-$'!.0-.=&.'.:
(
.
. 0...P%;
% +%0!0./&+
$' &
/0.
3'.
.20$& '0+-+!.--3&+/0-9&:+!
-.20$& '0+-3'.
.:+&+
%'+&!0;
%%1-&$2$
--'3&'+!-(.0(0. '0+-@
/
/
6
%;'&+0 0+-&%3.
%0-/ '.!0 .
$8$ &.(0-!
.F
-0.'+/0 $0.F
-9M&D +!'/
//
.
$+ -'!
.F
%0- 0%.(
.
-0.. $0.F
-;
+
&!0%)2'$3
-!
$'!.0-/3
-0$'+
(0. /
P%'=&/
++$/()-'!0$'!.0-89 &:+!0-
P'$)%!.0-(0/.:. 0...$ 0 6;
;JB@B$&
.3$
/!.--'%($-
(0,
+$0- .'!.'0-/$
-(.0(0. '0+-C-&+
0(.
')+=&!'+(0.07!0 6
$$
.$ &
.!0!D.%'+0/&+
(.0(0. ')+8 &
+/0- 0+0 +!.-/-&-$%+!0-
.3$
/!.--'%($-!: 0+-!'!&'/
/++3+
1
0-- -0+$0-/
!0-/$
(
.!/$(.0$%
=&,
- 0+0 +8
,$
--"!-0+(
.!/$(.0$%
=& 0+!'+$
'+ )3+'!
.3$
/!.-(&/-.0
2
(.0(0. '0+
$@
+ #"#
-!
.3$
-&!'$'<
&
+/0$
-%
3+'!&/-/$
(.0$%
-0+/'. !
%+!(.0(0. '0+
$-
$
'+ )3+'!
!3
-!
.3$
-&!'$'<
&
+/0$
-%
3+'!&/-/$
(.0$%
2
.F
++0.%
'+2.-
%+!
(.0(0. '0+
$
$
'+ )3+'!
.
+!+/. &:+/0
($' . /
&+
/$
-/0-0.%
-/$
.3$
/!.-8 0%+ %0-(0.$
--'3&'+!-
!'2'/
/-
0"4 #2 !4- # ! !#- ! 4- %
+&+
-
/'!0.'
$8(.-0+
-!
./
.0+6.-(
.
/'!
.&+
.2'-!
9&:+!
-60.
-0 &(
.:+(
.
/'!
.$
%'-%
.2'-!
(.-0+
-;
%<
+
0!03.
F
%&-!.
&++'40(
.
/07&+!0
&++0.% !&-'$+'40%'/+.
$'/
/(&$3
/
-,
+$
0!0$+'40%'/(&$3
/
-,$ !&-(&$3
/
-89 &:+!0%'/+.
$'/
/$ !&-;
%=
'&+
%'$$
=&'2
$
(.0I'%
/
%+!
P%,$
/'-!
+ '
+%'$$
-/
+B'30
+A.
+ '- 0-/
%'$$
-89 &:$-$
/'-!
+ '
+!.-
-/0- '&/
/-+P'$)%!.0-;
;?
+&+
'/+!/!.:' 0-('./+
/$
.3
/&+ %')+=&!.
+-(0.!
%$0+-'$%0+!0
/$
(D./'/
-/>,!.
+-(0.!
P3+%$0+-8
9&:$.
$%0+!0/$ .3
%+!0 0%($!0;
9&:+!0-P3/%$0+--(./'.0++$
'/+!;
9&:+!0-$ 0-!0/(D./'/
(0.P3/%$)+;
'+&+
$'..F
$'.0-/$%'-%0!%
&-!
+>89 &:+!0 0-!
.:+$'.0-;
/+!''=&%0-$
'+ )3+'!
@
(. '0/$0-$'.0-
(.0(0. ')+-.F
$
-'3&'+!@
B-(7
+/0!+%0-B-!
%
+.
8$0-$'.0- 0-!
.:+>
I'-!0!.
0.%
/($
+!
.$0
+!.'0.8%/'
+!$-'3&'+!
..3$08$$
%
/0"#$
$'.0-7
$'.0-
0%0$
'+ )3+'!
2
.F
/%0/0/'. !
%+!(.0(0. '0+
$
$
-%
3+'!&/-/$(.0$%
8.-0$2'+/0(
.
80!+%0-
$.-&$!
/0 0'+ '/ 0+$%D!0/0
+!.'0.
+&+
0.
860%.-!.%'+
+!0/0$!.
70+/F
-9+ &:+!0-/F
-(0/.F
+6
.$
%'-%
0.
60%.-;
E+'+/0+ &+!
=&!0/0-$0-60%.-!.
7
+(0.'3&
$,
$%'-%0.'!%08'/+!''=&%0-$
2
.'
$
$+"%.0//F
-+=&!.%'+
+$
0.
$0-60%.-$
+!
+/0+&-!.
.3$
/!.-@
60%.-8
60%.-
0%0
60.
(0/%0-+0!
.8$
'+ )3+'!
2
.F
'+2.-
%+!(.0(0. '0+
$
$0-/
!0-8.-0$2'+/0(
.
@
60%.-!.%'+
.:+$
0.
+/F
-
'&+
$&%+06
.
$'<
/0
/-&!
.
+%'+89 &:+!0!'%(0$$$2
.:.
$'<
.$
0%($!
;
/+!'' %0-$
'+ )3+'!
/ !'%(0=&$$$2
.:.
$'<
.
$
$&%+0$
!
.
0%($!
$
+!
%0-$
.3$
/!.-@
!
.
/
!
.
0%0$
'+ )3+'!
2
.F
/'. !
%+!8,
=&-$%'-%0
$&%+0,+06
,0!.
(.-0+
=&$0(&/
,&/
.
(
.
6
.$0%:-.:('/08$
-0$& ')+(
.
/-@
/
/%'+
5&6)
%
+&+
- &$
8(0.'+/
408$0-
$&%+0-('+!
.:+$
-(
./-/-&-
$)+/ $
--'
$&%+0-$0
6
++%'+89 &:+!0-
$&%+0--.=&'.+(
.
(0/.('+!
.$0+60.
;
%< ' =&.%0- +/&$<
. 3&
/ %$)+8 , -
%0- =& 3.
%0- / <" . - /'$&,+ + $'!.0-8
9 &:+!0-$'!.0-/
3&
/%$)+6
,=&
4
/'.(
.
=&$
%< $
0+!+3
3.
%0-/
<" .(0.$'!.0;
%='!.
7
/0.-!
./
+/F
-+6
.&+(=&40/'' '089 &:+!0-/F
-
(.0I'%
/
%+!!
./
.F
+
!.
7
/0.-+6
.$%'-%0!.
70;
;? +3
+
/.0!'+(
-!&.
-&' '+!(
.
$'%+!
.
0..30-/&.
+!/F
-90. &:+!0-/F
-
(0/.:
$'%+!
.$3
+
/.0
0..30- 0+$
%'-%
+!'/
//(
-!&.
;
;>+%($
/0=&!.
7
( /'
.'
-8. ' 0%0-
$
.'0>
$%-&7$6
'+0.%
/0
=&-$
&%+!
.:+/0-60.
-/!.
709&:$-.:-&+&20-&$/0%+-&
$;
; + 0%. '
+!/!$
-/-
-
. &:+!0-%!.0-/!$
/2+/.(
.
0!+.&+
3
+
+ '
/
>8-'(0. /
%!.0-/!$
2+/'/0-3
+
>90/.F
-/!.%'+
. &:+!0-%!.0-/
2+/.;
; +2&$0 0%. '
$=&(
.!/$
'&/
//DI' 0 0+/-!'+0
I' $'8!
./
2$0 '/
/(.0%/'0/ %'-%
/'-!
+ '
+ (
0+&+
9?=&D2$0 '/
/2'
7
$
2')+-'&+
-%
+
/-(&D-. 0..$
(
( ;
;%@)&6
+
/$
-(.'+ '(
$-
($' '0+-/$0-+"%.0-/ '%
$-(.02'+/$&-0/(0. +!
7-+
$3&+
-
0 -'0+-6%0-- & 6
/0.
-- 0%0@$F+/' / (0.<
/'-%'+&,)+!.-(0. '+!08$
%!
/$
30'.+0-./& '.+&+ '+ 0(0. '+!0$F+/' / .'%'+
$'/
/+$
.("$' 8$
&%+!0/$-
$
.'0
%F+'%0&/&+ '+ 0(0. '+!08! E
%'D+$0-(0. +!
7--!:+.$
'0+
/0- 0+$
-(.0(0. '0+-8,
=& $ &$
.$!
+!0(0. '+!0 N8/
&+
+!'/
/ 0+-'-!++ 0+!.
.&+
+!'/
/A8/0.%
=&,A-!D++$
%'-%
(.0(0. ')+=&
>??,?-F8-'$N/&+
+!'/
/-0!.
+!'/
/A8-2.'' @
0.7%($08 &
+/0%+ '0+
%0-=&Ve/$
-(.-0+
-=&0.%
+&+(
.$
%+!0-0+/$
0(0-' ')+c8
--!:/' '+/0=&/ /
(
.$
%+!
.'0-8-0+/$
0(0-' ')+0.!
+!08 0+!+./0-/-!0-
/
!0-8-(&/
2.'3&
.$!. .0
--'3&'+!-
!'2'/
/-!(.%'!'.:+ 0%(.+/.-! 0+ (!0
;>
+&+
$
-/
$&%+0-8(.
!' +$
+
!
')+,7&3
+
$"!0$
9&:$-$(0. +!
7/$0-
$&%+0-=&(.
!' ++
!
')+;
9&:$-$(0. +!
7/$0-
$&%+0-=&7&3
+"!0$;
;
'+&+
(
.
/0./&+ +!.0 0%. '
$8-+ &+!.
=&&+
.!F &$0!'+&+(. '0!'=&!
/0/>8,
!'+&+/- &+!0/$e89 &:$-$(. '0=&-(
3
.:(0.$
.!F &$0;
;
+!.
7
/0./&+
%'+
/$+0.!/$(
F-3
+
>
$%-8(.0 0%0 0%(+-
')+(0.&+
'/+!8
$'+ .%+!
.0+$-&$/0
>9&:$&$(0. +!
7+$=&-'+ .%+!)-&-&$/0;
;%
0.'+/!%(0.
/
8&+
%
. /.0(
+&+ '
=&!0/
-&%. + F
-!: 0+V.
7
--0..
7
-c'
&+(
+!
$)+ &-!
>,!'+&+
.
7
'+' '
$/e8,/-(&D-!'+
/' '0+
$%+!&+
.
7
/$e8
9 &:$-.:$(. '0'+
$/$(
+!
$)+;
9.:'3&
$-!(. '0-'-$
($' -)$0&+/- &+!0/$e;
I($' !&.-(&-!
-!0-(.0$%
--(&/+($
+!
.&!'$'<
+/0$
.3$
/!.-0+-&$!
$
- ')+
+!.'0.
$- !7-/.'2
/$
-(
$
.
-V(0. '+!0c,-.(.-+!
0%(
4
/0/$-F%0$0N
?$- .''.e8=&-$V&+0(0. '+!0c8$0=&-!
%0-/' '+/0-@V&+
(
.!/ '+c8,$0- .''%0-
0%0&+
.
')+(.0('
0 0%"+8
e
0.$0=&+3+.
$/'+'%0-
e
'+$
0%(.
/&+
.!F &$0+0-6
+&+/- &+!0/>8,+0-/' +=&$/- &+!0&/$e8
9 &:$-$(. '0 0+$=&-!:%
. /0$
.!F &$0;
9&:+!0-(
3)(0.-
.!F &$0;
/+!'' %0-$
'+ )3+'!
@ . '0/$
.!F &$0-!
$ '+/0$(0. +!
7+ 0.%
/(.0(0. ')+8
!+/.%0
1-0$2'+/0(
.
0.$0!
+!0$(. '0/$
.!F &$0-/>8,$0=&-(
3)(0.D$$00!+%0-/$
.-!
@
_
+
(.-0+
/-
.+!
.&+
(
.!
%+!0+$ +!.06'-!).' 0/$BA'
$ 0%'+<0/$
40$
.+!
-/
>,
&%+!
.:&+e$%-//' '%.89 &:+!0(
3
.:/.+!
+/' '%.;
.'%.0 '/+!'' %0- $
2
.'
$@ ?&%+!0 + $ %- / /' '%. ?+0!
+/0 $ (0. +!
7 0%0
(.0(0. ')+80!+%0-
1-0$2'+/0(
.
B-!
%
+.
8$
.+!
=&-/.:(
3
.+$%-//' '%.-/>
+&+
.
!
/$F+
$
+ 8&+..'3.
/0.!'+&+(. '0/>8,-0. &+/- &+!0/$eC
(.0-'-(
3
+ !'2086
+&+/- &+!0
/' '0+
$/$e9&:+!0-(
3
.:(0.$..'3.
/0.-'$
(
30-+ !'20;
/+!'' +/0 $
2
.'
$ (
.
$ (.'%. /- &+!0@ +!'/
/ /$ (.'%. /- &+!0 - .''%0- $
(0. +!
7 0%0(.0(0. ')+
1-0$2'+/0(
.
B-!
%
+.
8$(. '0/$..'3.
/0. 0+$(.'%./- &+!0-/@T
?60.
6
3
%0-$-3&+/0/- &+!0@0+!0/$-3&+/0/- &+!0$(0. +!
7$0/
$
(.0(0. ')+
0..-(0+/'+!
1-0$2'+/0(
.
B-!
%
+.
8$(. '0'+
$(0.(
3
.$0+ !'20-/@T
& $'6
%0-$/- &+!0/'. !0/$e
$
.!F &$08$(. '0-.F
/>C/-!
0.%
+0-$0
%'-%0&+-)$0/- &+!0/$e8=&&+(.'%./- &+!0/$e,$&30&+-3&+/0/- &+!0/$e
L
,.3$
-%&,-+ '$$
-(
.
(
-
.// '%
$-
(0. +!
7-8/.
')+
(0. +!
7-,2' 2.-
?
0+!'+&
')+$0-+&+ '
%0-@
!3,!
@ !7#$
M&'!
$-'3+0e,%&2$(&+!0
/ '%
$/0-$&3
.-
$
'<=&'./
'-+ -
.'08'+-.!
.0-
(
.
0 &(
.$0-$&3
.-
$!
+!-
#@ !7$
&2$(&+!0/ '%
$/0-$&3
.-
$
/. 6
,
4
/ .0-\-'-
+ -
.'0\(
.
0 &(
.$0-$&3
.-
$!
+!-A'+
$%+!
4
/$-'3+0e
+,!@ !7$
?($' +/0$
-.3$
-
+!.'0.-8 0+2'.!
$
.
')+
/ '%
$,8+-3&'/
8
0+2'.!-!/ '%
$
(0. +!
7
A'+
$%+!
4
/$-'3+0e
5&6)
;%'&+0..0+-(
4
3
+
&.0-
$%-,-&%(.-
$'+ .%+!
.:$-&$/0&+e89 &:$-.:
-&+&20-
$
.'0;
;;+ &+!.
$(0. +!
7'+/' /0(
.
$
--'3&'+!- +!'/
/-@
e/
e/
e/
;
.
$
--'3&'+!- +!'/
/-9=&D(0. +!
7/@
.(.-+!
;
.(.-+!
;
.(.-+!
;
/.(.-+!
;
;
+&+I
%+/(.3&+!
-8&+-!&/'
+!!&20
'.!0-9&:$--&(0. +!
7/.-(&-!
-
0.. !
-;
;<+=&'(0/
'.
0+/' '0+
/0&2+/'/0+>$&30/
($' .$&+e//- &+!09&:$-
-&(. '0+0.%
$;
;=+!..+0/6 !:.
-- &$!'2
/0/$
-'3&'+!0.%
@e/
..0<8e/%
F<,e/
.'70$9M&D +!'/
//6 !:.
--!:+-%.
/
-/%
F<8
..0<,.'70$;
?'&+
(.+/
&-!
>J-'+N?89-(0/.: 0%(.
.$
(.+/
0+>;
> +
!'+/
/(
.!
%+!
$ 6
/- &+!0- (0. '+ / !%(0.
/
-0. $0 ,
.
7
/0 b
.+ /-
0%(.
.&+
.!F &$0 &,0(. '0-/>,=&!'+&+/- &+!0/$e
(.0%0 ')+'+/' &+e
//- &+!0
/' '0+
$-0.$0,
.
7
/09&:+!0(
3
.:b
.+
$'+
$(0.$
.!F &$0;
&
J)O
1E
:
.."#+.38+8."3+ 3;
.
3;
E1B
<=
0+80+
2
38<
%:I'%
+!.'0.-+ 0+!.
3.
/
$
+!.
/
/$
? /%'
/$
!)+8(
.
%0-!.
.$
0.%
+
=&-&-/'- F(&$0-(.'2'$3'
+
$
30%!.F
388!'%0$)3' %+!8-'3+'' @#
8
$0 &
$+0--&3'.=&$0-
+! /+!-/-!
/'- '('+
-..F
+
(.0$%
-(.: !' 0-(
.
%/'.!'..
-
,!..'!0.'0-0.0.!&+
8$
30%!.F
,$0-3)%!.
-&.0+%:-
$$:/-)$0%/'.!..+0-\$0 &
$+-F
+0-+
/
'+!.-
+!\,8 0+$!'%(08-!
:.
-'+/(+/'<),
/=&'.')$
- &
$'/
/-=&
60.
(0-
,=&.(.-+!
+&+.!0(
.
=&'+--
2+!&.
++-&-/0%'+'0-
& 60-
40-
+!-/.'-!08$0-3.'30-8+!.$$0-E
$-/'$!086
F
+0-.2
/0 &'/
/0-
%+!$
-
%
!%:!' -=&6
F
+-&- 0+!%(0.:+0-/0!.
-+
'0+-8 0%0$0-3'( '0-8
'$0+'0-8(.-
-8! f
-
/0-+-0\,$$0 0+-!'!&,$
..
+=&/$
-%
!%:!' - 0%0- 0+0 +
60.
\80.%&$
.0+$
%
+.
/7. .$
- 0%0&+
-&+!0/$'+!$ !0
$'3&
$=&/$
.!8,+0I $&,.0+$
(0-''$'/
//=&
(&/'.
+-.
!.
!'2
-
>+&&)BJ)O@B&$
@&):@B&)
.
$
-
!'2'/
/-=&+ 0+!.
.:-+-!
&+'/
/8."+!+=&'(0,/'- &!-&(0-'$-0$& ')+8- .F$
/$
%
+.
%:- $
.
(0-'$, 0%(:.!$
0+!&- 0%(
4.0-
B)J&BJ)O@&@&)
.
'+' '
.$-!&/'0/$
30%!.F
(0/.F
%0-(
.!'./$ 0+ (!0/ -! @&+
+!'/
/%
!%:!' -'+
%
3+'!&/+'/'%+-')+8(.0 0+&' ')++$-(
'0%
3'+
&+(&+!0%&,/'%'+&!0@
g
- $
.0=&$/'&70
+!.'0.+0.(.-+!
&+(&+!0+$-+!'/0
$=&+0-..'%0-8(&- &+!
0+
/'%+-'0+-8
&+=&D-!
--
+%&,(=&4
-B+!.
/
8
-F 0%0$0-3.'30-$0 0+ ''.0+8$0-+!-
%
!%:!' 0--0+&+
-&+!0=&.=&'.=&%($%0-%& 60+&-!.
'%
3'+
')+
?60.
'+8'%
3'+%0-=&
$/($
<
.--!(&+!0+ '.!
/'. ')+8/- .'&+"! @
K-!8
$/-($
<
.-86
/
/0$&3
.
&+07!0=& &+!
0+!!,!8-/ '.8!'+# !"
$2%0-%:-$70-+&-!.07. ' '0/'%
3'+
')+8
60.
(+-%0-=&-!-3%+!0-/-($
<
8(0.
7%($086
'
708$
%'-%
/'-!
+ '
=&-&$0+3'!&/@
]-!6 606
/
/0$&3
.
&+
"!"#^K-!
&+!
0+ ! !@# !",
!L$0=&8(0.0!.
(
.!8'%($' =&(0-&+D
B6 608$-3%+!0/. !
(&/06
..0!
/0
$.//0./-& +!.08$0=&6
.F
/
/0$&3
.
&+
F. &$0C'3&.
=&/'3&
$%
+.
-!: 0+!+'/
+/0-/'%+-'0+-,(0-&+D@
+!+/.%0- 0%0
#
=&$$
=&+0-(.%'!/'+'.$
.308
+ 60,
$!0+!D.%'+0-/$0+3'!&/-
.02
,
%0-%:-$70-+-!7. ' '0@(+-%0-=&$ &
/.
/0
+!.'0.-
..6
'
+&-!.0-070-0
=&0 &..'.:8,=&!
$2<,
!6
,
-'%
3'+
/08-=&-3+.
.:&+
'3&.
! !#8(.0('
%+!
&+2 @
E
$ &.(030%D!.' 0!'+! !@#" 8!L ,# 0-&+3 #!
0-3.'30-+0!
.0+=&$
-+!'/
/-%
!%:!' -=&$$0-/- &.F
+8,=&-&.3F
+8(0./ '.$0
-F8/$
+
/
8!+F
+(.0('/
/-=&+0/(+/F
+/=&'+$
-I
%'+
.
0-+!-%
!%:!' 0-8
"+ &
+/0+0-
$-(&/'.
/'+'. 0+(. '-')+8 0+0.%
+&+%&+/0'+/(+/'+!/$60%.830.+
/0(0.$,-
(.0('
-
?$ -!&/'
. $
- (.0('/
/- / $0- +!- 30%D!.' 0-8 $0- 3.'30-8 /-(&D- / %& 60- 40- / -!&/'08
$$3
.0+ &+ (. '0+
%'+!0 + $ .! / $
30%!.F
8 , ($
-%
.0+ -&- 6
$$
<30- + &+
0.
%0+&%+!
$8 &,
2
$'/<(.2'26
-!
$
6
@ >?
8&+ 0+7&+!0/$'.0-. 0('$
/0(0.$
%
!%:!' 0?+%& 60
+!-/+&-!.
.
8,=&8/-(&D-/$
86
-'/0&+0/$0-$'.0-%:-
(&$' /0-
##7!F
,@ABC%!.
3
330+
+
38
B #! ,+
+
.3
0+8+!
&-/- &.'%'+!0-6
+
'+$&+ '
/0$/-
..0$$0
&+'2.-
$/$
-%
!%:!' -
/&.
+!$0-"$!'%0-
40-
>>@O)B)&J
0+$'+/
/+!.
.+0-+$!%
82
%0-
.
$'<
.&+
!'2'/
/..+!
$-F 8/!
$%
+.
=&
(.0(0. '0+%0-&+
(.'%.
/'+' ')+/-&-'3+'' /0
>
-2+!
+
-/$
-
/&+
(.-0+
!'++$
--'3&'+!- .
!.F-!' -@
'$
(.-0+
/-
/0.+
.-&-2+!
+
-
$.//0./$$
-8-/ '.8+$
-0.'$$
-0+$ 0+!0.+0/
-!
-'3&.
-89 &:+!0-%!.0-/
/0.+0+ -'!
.F
0%(.
.(
.
/
2+!
+
;
+0/$0- 0+ (!0-=&&!'$'<
.%0-,=&
(.+/.%0-
$ &$
.8- 0+0 0%0@ -F 8 0+ (!0
%($'
%+!&!'$'<
/0(
.
%/'.$0+3'!&/-
$0+3'!&/=&+ 0+!.
-!(
.
/
'3&.
30%D!.' +!.'0.8-7&-!
%+!$(.F%!.0:-
/$
+!8
(.+/.%0-!
%'D+
$ &$
.(.F%!.0-/'3&.
- &,0-$
/0-+0-0++ -
.'
%+!$F+
-. !
-8 0%0
(0.7%($0 0+!0.+0- '. &$
.-&0!.
-0.$%0%+!0+0- 0+ +!.
.%0-+
=&$$
-'3&.
- &,0-$
/0-
-0+$F+
-. !
-
9)%00!&2'-!$(.F%!.0/$
-'3&.
-
+!.'0.-;
+!+!%0-0!+.$(.F%!.0/-!
-'3&.
-@
/
L
.:- +0!
/0 =&8 (
.
$ &$
. $ (.F%!.0 / &+
'3&.
0%(&-!
/ $F+
- . !
-8 - -&%
+ $
-
$0+3'!&/-/-&-$
/0-B
&./0
$
-
!'2'/
/-
+!.'0.-/$ :$ &$0/(.F%!.0@
B- .' 0+!&-(.0('
-(
$
.
-$-'3+'' /0/(.F%!.0/&+
'3&.
30%D!.' 0%(&-!
(0.
$F+
-. !
-
!'$'<
$
/'+' ')+=&6
-/
/0(
.
$ &$
.$(.F%!.0/$
--'3&'+!-'3&.
-30%D!.' -8$$
%
/
-
83
3+ J&+- #F" ! "#-
=&$ &,0-$
/0-,:+3&$0-%'/+$0%'-%08/0+/ B-$
%/'/
/ /
&+0/-&-$
/0-0.7%($08$(.F%!.0/$
(.'%.
'3&.
JD!"# 4#D 8-@
BPBPBQB
+- #F" ! "#-&+
'3&.
30%D!.' ($
+
+$
=&!0/0--&-$
/0-!'++$
%'-%
$0+3'!&/8,-&-:+3&$0--0+'3&
$-
%
B
&./0
$
/'+' ')+
+!.'0.89 &:$-$
).%&$
(
.
$ &$
.$(.F%!.0/&+- #F" ! "#/
!$
/0-8/0+/$
$0+3'!&//&+0/-&-$
/0--B;
I($' &:$&!&.
<0+
%'+!0
$-F /&+
'3&.
($
+
8 0%(&-!
/-3%+!0-/$F+
8
-$
-&%
/$
-%/'/
-/-0--3%+!0-
L
'+/0&-0/$
'%
3'+
')+8(+-%0-=& 0+&+
&./
-0%0- (
-/.0/
.$ 0+!0.+0/&+
'3&.
($
+
/
/
8,
0+!'+&
')+I!+/%0-$
&./
,%/'%0--&$0+3'!&/-!0-=&'2
$+!
%/'.
(0.-(
.
/0$0-$
/0-/&+
'3&.
,$&30-&%
.$
-%
3+'!&/-0=&-!
.%0- $ &$
+/0-.:$
(.F%!.0/$
'3&.
>OB)
.
$ &$
.$(.F%!.0/&+ F. &$08 0+-'/.%0-&+ F. &$0/ 8D ,!!
J(0.!!+!+/%0-$
$0+3'!&/=& 0%(.+/$ 0+!0.+0/&+ F. &$08-!0-8$(.F%!.08
0%0+$
-'3&'+!'3&.
@
0%0$ -$
/'-!
+ '
/$ +!.0/$ F. &$0
&+(&+!0/$
'. &+.+ '
8+!0+ -$D -
$/0$/$.
/'08-!0-@Q
;
0+$
,&/
/&+
&./
8%'/$
'. &+.+ '
/&+ F. &$0/ &
$=&'.!
%
40? 0+!'+&
')+8%'/
$/':%!.0/$%'-%0 F. &$0 0+0!.
(0. ')+/ &./
8,
2.'3&
&:+!
-2 - $
$0+3'!&//$
/':%!.0+$
'. &+.+ '
1('!-!(.0 -0 0+ F. &$0-%:-3.
+/-0%:-(=&40-
9M&D0-.2
-+-!I(.'%+!0;
9&:+!
-2 - $
$0+3'!&//$/':%!.0+$
'. &+.+ '
;
9%(0.!
$!
%
40/$ F. &$0;
!'2
%+!8$/':%!.0/&+ F. &$0 &
$=&'.
2 -+$
'. &+.+ '
8,-'%(.-0.
&+
!.
%0-!(
!.)+-.('! 0+ F. &$0- &
$=&'.!
%
40
'/'-(&-'D.
%0-/&+
%/'/
%:-'+
8+0-/
.F
%0- &+!
/=&$/':%!.0/&+ F. &$0 2 -
(.0I'%
/
%+!+-& '. &+.+ '
C-/ '.8-'/'2'/'%0-$
'. &+.+ '
+!.$/':%!.0/&+
F. &$08$.-&$!
/0--'%(.$.-&$!
/0/-!
%/' ')+-+.
$'/
/&+
(.0I'%
')+(
.
$
+"%.0 D @. 0./%0-=&$+"%.0 D 2
$
(.0I'%
/
%+!
0-3.'30-/- &.'.0+=&+ !0I'-!F
&+!. -#=&8&+ '0+
+/0 0%0&+
(.0(0. ')+8
.$
'0+
$
$0+3'!&//$
'. &+.+ '
0+$/':%!.0hh-'+'%(0.!
.$!
%
40/$ F. &$0
-!0-8(
.
&+ F. &$0 &
$=&'.
8
-&
$%+!8 $ 2
$0. =& - $ /
$ +"%.0 H - '+ %
.308 -& 2
$0. (.0I'%
/0 -@
@$%$A CA@AE F @@E%CC%@@E@F A-!+"%.08 0%0-
.:-8-&+/ '%
$+0(.')/' 080-
&+
8,+0-!.'2'
$$ :$ &$0/-&-/F3'!0-
0-3.'30-
(.0I'%
.0+$+"%.0H 0+$
.
')+
.0&.0+$0- 6'+0-=&'+-!&2'.0+%70.-
. %'+!0-
D$
- 0%(&!
/0.
-%0/.+
-(.%'!+
$ &$
.%'$$0+-//F3'!0-C(.0+&+ -!.%'+
.F
8(&-D-!0--0+'+'+'!0-,8
/%:-8+0-.'3+(0.&+
(
!.)+ 0+0 '/0hh%'-!.'0=&6
-!
$
6
-'3&'+-('.
+/0
$0-%
!%:!' 0-
&.'0-
%+!8$0-
+!'3&0-3)%!.
-3.'30-+0%($
.0+-!
$!.
3.'3
C&0+
./&$.8%
!%:!' 0-&'<08=&'+$
'+!.0/&70
6
-!
$-'3$0[N-)$
(.'%.
$!.
/$!D.%'+03.'30"+8-/ '.8"J D -$
$!.
3.'3
(
.
13.-
+/0
$
'3&
$/
/
+!.'0.8!+%0-=&
H :
-F=&-' !&
%0-&+-+ '$$0/-(780!+%0- :D ?60.
8!0%
+/0+ &+!
=& Q $
'3&
$/
/
+!.'0.-- .' :i. =&-$
%0-F-'%
).%&$
=& 0+0 %0-
!!/&+ F. &$0/D -0!'+(0.%/'0/$
).%&$
:D E
%'D+$
!!/&+ F. &$0/ -/
(0.$
).%&$
:i. 0R 4F L -# # # - ! /#3! # !! S-F T!F# !2" :-! !!:L " ! ##@- ! #-F #4"
B/& $
).%&$
(
.
$ &$
.$(.F%!.0/&+%/'0 F. &$0/.
/'01J0'+ $&,
-$
$F+
(&+!
/
?(
.!'./$
.$
')+
+!.'0.8(.0(0. '0+
.&+
).%&$
(
.
$ &$
.$(.F%!.0/$
%'-%
F3&.
8-)$0
=&
60.
/-'+ $&'.$
$F+
(&+!
/
@
<
?60.
+0!-.:/'F '$//& '.$
).%&$
(
.
$ &$
.$(.F%!.0/@
$-3%+!0/&+ &
.!0/ F. &$08,
$(.F%!.0/&+ &
.!0/ F. &$0
& $ -'%(.=&+&+
'3&.
(
.< +$F+
-(&+!
/
-8D-!
-+0-/.:+!0%
.+ &+!
(
.
$
:$ &$0/$(.F%!.0
=
0+3
%0-+(.: !' $
-).%&$
-
+!.'0.-(
.
$ &$
.$(.F%!.0/$
--'3&'+!-'3&.
-@
/
9L
.:(.F%!.0-=&-.$
'0++%/'
+!&+%"$!'($0+!.0;-!0-8=&
$/'2'/'.$(.F%!.0
%
,0.+!.$%+0.8$.-&$!
/0-
&++"%.0+!.0
I($' >?
?60.
!-.:-'%($ $ &$
.$(.F%!.0/$
--'3&'+!-'3&.
-8 0%(&-!
- 0+$F+
-. !
-, &.2
-
?=&F!
%'D+-.:+ -
.'00 &(
.
$3&+
-/$
-).%&$
-=&,
0!&2'-!+!D+!
$0@
/
9&:$/$$
-!(
. ')%:-/'F '$/ $ &$
.;
90.=&D;
)&@)&)U
?60.
+0- 0 &(
.%0- /$ 0+ (!0 / D $ -'3+'' /0 / :.
/ &+
'3&.
30%D!.' +0 /
0+&+/'.-/+'+3"+%0/0 0+$/-F N
%0-$
-/'+' '0+-@
@F
$(.F%!.0-8-+ '
$%+!8
&+
# !"8,-0!'+%'/'+/0
$ 0+!0.+0/$
'3&.
($
+
/
/
U
$:.
+0(&/%/'.-/'. !
%+!@
-$.-&$!
/0/&+
0(.
')+.$
!'2
$- &-&+'/
/-/%/' ')+-0+$'+
$-@ &-&+'/
/-/%/' ')+-0+
! &
/.
/
-@! 0.7%($08$:.
/&+ &
/.
/0'+20$& .
%/'.
-,
$!&.
J+0!0/0$(.F%!.08,%&$!'($' .
%
-
$0+3'!&/-:-
/$
+!-/!
$$
$
).%&$
>>
0+!&-(.0('
-(
$
.
-8%+ '0+
9=&D/'.+ '
I'-!+!.$0- 0+ (!0-/:.
,(.F%!.0/&+
'3&.
30%D!.' ;
>
'+!
/&+ 0$0.$(.F%!.0,/0!.0 0$0.$:.
/$
--'3&'+!-'3&.
-
9E0/
-$
-'3&.
-
+!.'0.-!'++:.
;
'.-(0+/'-!=&+08 0%+!
(0.=&D
0+!&-(.0('
-(
$
.
-%+ '0+
=&D+!'+/-(0.:.
/&+
'3&.
30%D!.' 9M&D!'(0/'3&.
-!'++:.
, &:$-+0;
90.=&D;
>
1 0./%0-=&+$
).%&$
(
.
$ &$
.$D!D!"# -%&$!'($' -&-&+
$ &$
$:.
/$-'3&'+!. !:+3&$0B-(&D-8 $ &$
-&(.F%!.0
-.2
.:-=&+0 0'+ '/+
%0- :$ &$0-$:.
-$
-&(.' '/$%'-%08-/ '.$'+!.'0.C%'+!.
-
=&$(.F%!.0-$ 0+!0.+0/$
'3&.
0%0%+ '0+
%0-
+!.'0.%+!8-0+/0- 0-
-!0!
$%+!
/'-!'+!
-
+ !&- &.-0- (.2'0- / 30%!.F
8 &!'$'<
-! + $3"+ %0%+!0 $
- ).%&$
- (
.
$ &$
. $ :.
/$
!.':+3&$08 F. &$08 (
.
$$03.
%08 ! '+ %
.308 =&'<: +&+ ! (.3&+!
-! / /)+/ -&.3F
+ /' 6
-
).%&$
-
.
%'$'
.'<
.+0- 0+$
($' ')+/
$3&+
-/$$
-86
.%0-
!'2'/
/-/ :$ &$0/:.
-8,%:-
/$
+! 2.%0- )%0 - //& + /' 6
- ).%&$
- -.2
$
-'3&'+! !
$
(
.
$ :.
/ '3&.
-
30%D!.' - 0%&+-@
+"" C
-!,!"D
+,#
1 !:+3&$0
&
/.
/0
E.':+3&$0
F. &$0
>%
?(
.!'./$
).%&$
/$:.
(
.
$ F. &$08//& $
).%&$
(
.
$ &$
.$:.
/&+%/'0 F. &$0,
/&+ &
.!0/ F. &$0
>;
B
&./0
$
-).%&$
-=&0!&2'-!8 $ &$
$:.
/$
--'3&'+!-'3&.
-?=&F!+/.:-=&6
.&+
-&-!'!& ')+/$2
$0./$.
/'0
>
+!+!
$ &$
.$:.
/$
--'3&'+!-'3&.
-8=&-0+ 0%'+
'0+-/. !:+3&$0-8!.':+3&$0-, F. &$0-
? 0+!'+&
')+/
%0-$ 0+ (!0/:.
@
U-$
%/'/
/$
.3')+0(0. ')+$'%'!
/
/&+($
+0
>5&+5B
@BU+JAU
?60.
8//& '.%0-$
-).%&$
-(
.
$ :$ &$0/:.
/
$3&+
-'3&.
-30%D!.' -8(
.!'+/0/=&
0+0 %0-$
).%&$
(
.
$ &$
.$:.
/&+. !:+3&$0
U&JB)
.!
%0-/$0,
0+0 '/0(
.
&+. !:+3&$0E0%%0-&+ D!"# /
- ,
$!&.
0%0+$
'3&.
@
$D?/-!. !:+3&$0-G
$-F /$. !:+3&$0-.:$
-&%
/!0/0-$0-$
/0-@&,!
?(
.!'./$0
+!.'0.8(0/%0-//& '.$
-:.
-/0!.
-'3&.
-($
+
-
)
-.2%0-=&-'$
-,$
$!&.
0'+ '/+,-0+8(0.7%($08+!0+ -!+/.%0-&+ /
:.
$D?/-! &
/.
/0- $-F /$ &
/.
/0-.:$
-&%
/!0/0-$0-$
/0-@&%
-.2%0-=&:.
,(.F%!.0+0 0'+ '/+
U&JB)
&2
%+!8 0+0 '+/0$
).%&$
/$:.
/$. !:+3&$08(0/%0-//& '.$
).%&$
(
.
0!+.$:.
/$D!"# %( %0- 0+&+ D!"# D!"# J. 0./%0-=&&+!.':+3&$0. !:+3&$0-
=&$=&!'+&+
:+3&$0/W0.
3+@
1-&$!
'+%/'
!02.=&$:.
/$!.':+3&$0-$
%'!
//$:.
/$. !:+3&$0+$=&-!:!.
<
/0C(0.
$0!
+!08$:.
/$!.':+3&$0. !:+3&$0-@
.
$ &$
.$:.
/&+!.':+3&$0+3+.
$J
&+=&+0-
!.':+3&$0. !:+3&$08'%
3'+D%0-$0'+- .'!0
!
%'D+/+!.0/&+. !:+3&$08 0%0+$
'3&.
-'3&'+!@
-.2%0- =& 6%0- /'2'/'/0 +&-!.0 !.':+3&$0 + !.':+3&$0- . !:+3&$0- (
.! / $
- /$
!.':+3&$0+$$
/0'<=&'./0
$
$F+
(&+!
/
- $
(
.! 0%($%+!
.'
/ $
- -@ $ &$
+/0$:.
/
%0--&!.':+3&$0-. !:+3&$0-8!+%0-@
-/ '.8$:.
/$!.':+3&$0-@
=&-8/+&208$
).%&$
=& 0+0 F
%0-/+&-!.0--!&/'0-:-' 0-/%
!%:!' -C(.0=&]-!
2<
6%0-//& '/0^
@BB)J)
0+-'/.%0-
60.
$-'3&'+! -## " J'3&.
/ &
!.0$
/0-=&!'+
%0-(
.-/ +@
'. 0.!
%0-$!.':+3&$0-0%.
/0,$0(3
%0-
$
/. 6
8$
'3&.
.-&$!
+!-&+. !:+3&$08 0%0
-
(. '
+$
'3&.
@
$ :.
/ -! . !:+3&$08 0%0 ,
$0 -
%0-8 -@ $0 &
$ / 0'+ '/'. 0+ $ :.
/$
(
.
$$03.
%0
0.$0!
+!08$:.
/$(
.
$$03.
%0-@ ]3&
$
$
/$. !:+3&$0^
@)
0+-'/.%0-0!.
'3&.
%:-8&+- 0+8
,+(8 0%0-%&-!.
+
$
'$&-!.
')+J&+!.
( '0!'+-)$0$
/0-(
.
$$0-@
-.2%0- =& -' (3
%0- /0- !.
( '0- '/D+!' 0-8 &+0 / $$0- '+2.!'/08 $
'3&.
.-&$!
+! - &+
(
.
$$03.
%0@
-!(
.
$$03.
%0!'+
-,
$!&.
(&:.
+!0+ -- ( &-!0=&$:.
/$(
.
$$03.
%0-$/0$/$
/$!.
( '00.'3'+
$8+!0+ -$:.
/$!.
( '0-$
%'!
//$:.
/$(
.
$$03.
%0
-!0-8$:.
/$!.
( '0-@
(
0- !! 4:!4#,!-#D#4-!# # " F:! #L !!#/ :-#! ,# # 2D/-LL N0$2'+/0
$!.':+3&$08I'-!0!.
).%&$
(
.
0!+.-&:.
).%&$
=&6%0-/'- &!'/06
-!
=&F
'%($' =&- 0+0< +$
-,$
$!&.
&(0+3
%0-=& 0+0 %0-$
$0+3'!&//-&-$
/0-C(.0$
$!&.
+0+ -
.'
%+!- 0+0 $(.F%!.0/-!!.':+3&$0-8 0%0-
%0-8$
-&%
/$0-$
/0-@&.089,-&:.
;
L.)+ / ?$7
+/.F
8 (.0$F' 0 '+2+!0. / $
+!'3j/
/8 %0-!.) =& - (&/ $ &$
. $ D !
D!"# ! ! ,# # J0-&(.F%!.0
).%&$
=&D$/- &.')-@
/0+/.(.-+!
$-%'(.F%!.0/$!.':+3&$08/
/0(0.$
).%&$
@
7%($0/$
H#+I#
@
B
/0&+!.':+3&$0'-)- $-/$
/0-8,8/!.%'+
.-&:.
0!%0-=&
&308$:.
-@
).%&$
=&/- &.')L.)+!'+
$ + -'+-0-( 6
/0-8,
=&+0-(.%'! $ &$
.h+3+.
$h$
:.
/ &
$=&'.- #F" ! -'(.'%.0$0!.'
+3&$
%0-
0.7%($08$
).%&$
/L.)+-(&/%($
.(
.
$ &$
.$:.
/-!0-- #F" ! "#J&+
83
3+-&+
'3&.
30%D!.' ($
+
+$
=&
$3&+0/-&-$
/0-!'+/'.+!$0+3'!&/8,
$3&+0/-&-:+3&$0--/'-!'+!0@
+ -0(
.!' &$
./$0-(0$F30+0--$/$0-- #F" ! "#8=&,
-!&/'
%0-
!.:-
.
. 0./
.
&+(0 08-0+$0-=&!'++!0/0-$0-$
/0-'3&
$-8(0.7%($0@$!.':+3&$0=&'$:!.08$ &
/.
/08$
(+!:30+08$6I:30+08! ).%&$
(
.
$:.
/$0-(0$F30+0-.3&$
.-+0-/'F '$///& '.8
%($
+/0\+!.0!.
-!D +' -\$
($' ')+/$
).%&$
/L.)+
R,!#7!F,$5BF5!
3
3#
3
33"++
2
.8"
3J*+
+(L
.0+
2+
H+;
23
"..
"8
+.
N+#;"#+0+2+
,A).%&$
/L.)+!
+++.
+0+.
3+
3
++
+
OB)
.
$ &$
.$D/&+F# 8$0-3.'30-J- .=&0+8+0!
.0+=&!
%'D+-'+20$& .
$
+"%.0i
.
$ &$
.$:.
/$ F. &$08?.=&F%/-(.0 /')/$
-'3&'+!0.%
@!0%)&+ F. &$0/.
/'0 ,$0
- '0+)+.
+
/
--%7
+!-
3
70-8.
0%0/:+/0$0-+&+
- &+ '
@
H
'+!.
-%:-(=&40--6
3
+$0- 0.!-8$
'3&.
/$
/. 6
%:--
(.0I'%
.:
&+. !:+3&$00-
$
/0-/-. !:+3&$0h-/'0 &+!
?.=&F%/-h 0..-(0+/F
+
$.
/'0%&$!'($' /0(0.&+
!0.8]=&
+&2
%+!.-&$!)-.$+"%.0i^B
6F=&$:.
/$ F. &$0-
@
D N
%0-
$3&+0-7%($0-/ )%0
($' .$
-).%&$
-=&6%0-//& '/0'!.
7
-+=&'(08 0%+!
0+$0-'+!3.
+!-0!.
-0.%
-(0-'$-/-0$& ')+
B!.%'+
$:.
/$
--'3&'+!-'3&.
-@
?=&F$/':%!.0-C8(0.$0=&$.
/'0@+!0+ % % ).%&$
=&0!&2'-!(
.
&+%/'0 F. &$0/.
/'0&
?=&F$.
/'0-@%+!0+ % %
).%&$
(
.
&+ &
.!0/ F. &$0/.
/'0-@
?=&F$.
/'0%+!0+ -!+%0-=&
% %
/
.
-!
'3&.
!+/.%0-=&-&%
./0-:.
-8$
/$!.':+3&$0,$
/$%/'0 F. &$0
l.
/$!.':+3&$0@
% % %
% l.
/$%/'0 F. &$0@
% %
0.$0!
+!08$:.
!0!
$-@
-!
F3&.
-0.%
(0.&+. !:+3&$0,&+%/'0 F. &$0
l.
/$. !:+3&$0@
% % % l.
/$%/'0 F. &$0@
% %
0.$0!
+!08$:.
!0!
$-@
$ &$
.$:.
-0%.
/
/$
--'3&'+!-'3&.
-@
' $ &$
%0-$:.
/$ &
/.
/0,$.-!
%0-$:.
/$ F. &$0'+- .'!08!+/.%0-$:.
.=&.'/
0.$0!
+!08$:.
/$
.3')+-0%.
/
-
% % % % $ &$
%0-(.'%.0$:.
/$ F. &$03.
+/8,$.-!
%0-$:.
/$ F. &$0(=&40?-F8$:.
/$
.3')+-0%.
/
-
% % % % 022;H! H;M:- 2#!. -C##""-SHT
$ &$
.$:.
-0%.
/
/$
-'3&'+!'3&.
@
%($%0-8(
.
&I'$'
.+0-8&+
+#
E.
%0-/0-$F+
-2.!' $-/$
-'3&'+!%
+.
@
'0-.2
%0- 0+
!+ ')+8$0=&/%
. +$
-$F+
-(&+!
/
-$
!.
$--&+ &
/.
/00.0!.
(
.!8$0-
-%' F. &$0-+3.0-8
$
'<=&'./
,
$
/. 6
/$ &
/.
/08!'++$
%'-%
:.
=&$0--%' F. &$0-
$
+ 0-
$0-$
/0-/$
$F+
+!.
$(&+!
/
%
3'+%0-=&. 0.!
%0-$0--%' F. &$0-+3.0-,$0-
0$0 %0-+$-'!'0=&0 &(
+$0-$
+ 0-
0=&-!+/.:-.:7&-!
%+!&+ &
/.
/08/$
/00.$0!
+!0$:.
/$
(
.!-0%.
/
-@
B$0-/0-!.':+3&$0--'3&'+!-8 9 &:$!'+%
,0. :.
; J$0- . !:+3&$0- +$0-=& -!:+ '+- .'!0- -0+
'/D+!' 0-+!
%
40@
$:.
/ &
$=&'.!.':+3&$0-'3&
$
$(.0/& !0/$
-(0.$
$!&.
/$. !:+3&$0+$=&-6
$$
'+- .'!08/'2'/'/0+!./0-U,
=&$0-. !:+3&$0--0+'3&
$-8$
-,
$!&.
-.:+$
-%'-%
-+ /
-00.$0!
+!08$:.
-$
%'-%
?+!-/(.0(0+.$
-'3&'+!$'-!
/(.0$%
-J=&%:-'+/+2.- 0%0.!0-,-!F%&$0-
$&-0/$
'+!$ !08. $ .%0-=& /
(.0$%
!'+&+
+
!&.
$<
(.0('
8$0=&6
/$
%
!%:!' &+
7. ' '0 / $
'%
3'+
')+ %& 60 %:- '+!.-
+! ?=&F '!
.%0- &+
- (
$
.
- / H0.3 )$,
8
%
!%:!' 0(0$
0/$-'3$0[[@
<O
3
+
+2+
3
+#
+0+(
+
/+
)+++
++
(0+
P+3+"+
2
2+2
+
.
#
3/.+
"+
<
5&6)
>0+-'-(
$'$$0-8 0+-!.&, &
!.0!.':+3&$0-=&'$:!.0-/'3&
$!
%
40
0+/0 (
$'$$0-8 0+-!.&,-'- &
/.
/0-8!0/0-/'3&
$!
%
40
9-(0-'$!.
<
.8-'+/-(3
.$$:('<8$
-'3&'+!'3&.
;
%
$ &$
$(.F%!.0/$
--'3&'+!-'3&.
-8
(0,:+/0!/&+/'&70(
.
/
'+ '-0@
+ &
/.
/0/$
/0 %
+. !:+3&$0/$
/0- %, %
+.0%0/$
/0 %
/+
'. &+.+ '
//':%!.0%
;
$ &$
$(.F%!.0/$
--'3&'+!-'3&.
-@
12'-
$
+'/
//-!$'.0,0-.2
$
2
.'/
//%D!0/0-I'-!+!-=&(.0(&-0H)$,
(
.
.-0$2.(.0$%
-
/
$ &$
$:.
/@
+ &
/.
/0/$
/0 %
+!.':+3&$0/$
/0- %8 %, %
+!.
( '0/
-%+0. %8
-%
,0. %8,
$!&.
/ %
/+ &
/.'$:!.0/
- %,
$!&.
%
+ F. &$0//':%!.0%
$ &$
$:.
/$
--'3&'+!-'3&.
-@
/
<B!.%'+
$
&
.!
(
.!/$
-&(.' '/&+ &
/.
/0/ 9&:+!0%'/-&$
/0;
=B!.%'+
$
$0+3'!&//&+
'. &+.+ '
8-'$(.F%!.0/$ &
/.
/0=&$
'. &+- .'-/ %
>?$e/$
&
.!
(
.!/$(.F%!.0/&+ &
/.
/0-/ %9&:+!0%'/$$
/0/$ &
/.
/0;
>>0-$
/0-/&+. !:+3&$0-!:++$
/#
$@89 &:+!0%'/-&$
/0%+0.-'-&:.
- ;
>0-(.F%!.0-//0- &
/.
/0--0+ %, %9&:$-$
.
<)++!.-&-$
/0-;
>
$ &$
$
-:.
-/$
-.3'0+--0%.
/
-+$
--'3&'+!-'3&.
-8I($' +/0/%
+.
$
.
!&-
.-(&-!
-@
:N-&+ &
/.
/08Q=&R8-0+$0-(&+!0-%/'0-,= %
:N-&+ &
/.
/0 &,0$
/0%'/%8,$
-0 60-%' '. &+.+ '
--0+'3&
$-
:8$:+3&$00.%
/0(0.$2D.!' :-. !0,: %
:N-&+ &
/.
/0/ %/$
/0,?-&+!.':+3&$0=&'$:!.0
.
.2'-
.-!
+0!
')+8. &..
$
- ')+@1
<0+-
:N-&+ &
/.
/08? %,$0-
. 0--0+/&+
'. &+.+ '
'3&.
.(.-+!
&+ &
/.
/0/ %
:N-&+ &
/.
/08: %, /
$
/0-!:/'2'/'/0+!.-(
.!-'3&
$-
&
/.
/0/$
/0- %
## "
0+
(#
+
L
+
(+
*+"
0++2
0+
+
+++ "+
:
0++22P#28
#3
.+;
H+;0+
+P38
S
B)J)O
--'3&'+!-- '0+--0+0( '0+
$-(
.
$$ !0.?
. +$0-!%
-/@20$&%+8(0$'/.0-.3&$
.-
J-)$'/0-($
!)+' 0-8 0+-!.& '0+-
.3$
, 0%(:-8.
<)+:&.
,.
!
$--!0-!%
--0+%&,
!.
!'20-
'+!.-
+!-(
.
=&'+-3&-!
+/$
30%!.F
>)B&
#!-$
%/'/
/$-(
'00 &(
/00/-
$07
/0(0.&+ &.(0
.
(0/./!.%'+
.&+20$&%+8+ -'!
%0-!.-/'%+-'0+-+3+.
$8-&-&+'/
/-/%/' ')+-0+
$
-/$0+3'!&/
$ &0@@@@@! @BB@O@)
.
20$"%+-(+-%0-8
+!-=&+
/
8+ )%0-3+.
+
$3&+0-/D-!0-'
..%0-+&+
$0+3'!&/
&+. !:+3&$0/:.
6
'
06
'
+&-!.
%'.
/
8-3
.&+ &.(0 0+20$&%+8$0=&
/+0%'+
%0-&+(
.
$$(F(/0@
0.
+
$03F
$
0!+ ')+/$:.
8$20$&%+/-! &.(030%D!.' 0-.:
-(0.
$!&.
8 0+-'/.
+/0
=&$
--+-! -0&+:.
J,$
$!&.
@T
+$&3
./(.F%!.08-!(
.
$$(F(/0!'+-&(.' '8=&-$0=&$'%'!
$20$&%+!.
0.%
/
/'+'. -& -&(.' ' - %/'
+! $
-&%
/ :.
- $'%'!
+!- /$ &.(0 30%D!.' 0 .
+&-!.0 -0
!+%0-/0-!
(
-/:.
8/0-/:.
,/0-/:.
+!0+ -8$
-&(.' '-.:$
-&%
/-
-
-'--&(.' '-=&8/-(&D-/-'%($'' .8-./& @*,!
B&)
-!
%0-
0-!&%.
/0-
(+-
.=&&+ '$'+/.0-&+
'3&.
!.'/'%+-'0+
$/$!'(0-'3&'+!@
/0+/$
-0- ')+-!:/
/
(0.&+ F. &$0/.
/'08,!+%0-&+
$!&.
(-!0-2./
/C(.0+
%
!%:!' -!
%'D+-&$ 0+-'/.
.-
&+ '$'+/.0 0%0&+ &.(030%D!.' 0/- ')+ 0+-!
+!8-'+
=&+ -
.'
%+!D-!
-
'. &$
.
7%($0-/ '$'+/.0-!
%'D+-0+$0--'3&'+!-@
+$(.'%. -0$ '$'+/.0!'+- ')+!.'
+3&$
.,+$-3&+/0(+!
30+
$$20$&%+/&+ '$'+/.0
/-!0-!'(0--@ T ( 8/0+//+0!
$:.
/$
-,($
$!&.
B+
%
3'+%0-=&!+%0-&+ F. &$0,=&$06
%0-.0!
.-0.&+760.'<0+!
$02.!' $0=&D-!
3+.
.:-.:&+
-.
J. &./
$0=&-0-.2
&
+/06
-3'.
.&+
%0+/
-0.$
-&(.' '/
&+
%-
$20$&%+T/$
-.
/.
/'0-!:/
/0(0.$
).%&$
@ T -&(.' '*/$
-.
8=&(&/-.'%
3'+
/
0%0&+ - .)+8-!:/
/
(0.@ * @)B)JB
?$0- - # "# !
%'D+-$- 0+0 0%0 ##
E0%%0-&+(0$F30+0.3&$
.
+-%0-+$%:--'%($@$.
3+0+.?60.
'+86
3:%0+0-$
-'3&'+!(.3&+!
@9 &:+!0-
!.':+3&$0-=&'$:!.0--.=&'.+(
.
0+0.%
.&+ &.(0!.'/'%+-'0+
$/0.%
.3&$
.;
f'+8-'!0%
%0- &
!.0/$$0-8(0/%0-&+'.$0-(0.$
-
.'-!
-
$
(. ')+,!+/.%0-&+ $
&+(0$'/.0/ &
!.0$
/0-'3&
$-0.0!.0$
/080-.2
%0-=&!'+%3C::%
'(.0 /%0-/'3&
$%
+.
0+$-'3&'+!(0$F30+0.3&$
.8$+82.%0-=&$
'3&.
!.'/'%+-'0+
$0!+'/
-&+2 8
$7&+!
.
/ &
/
%+!-'- &
/.
/0-+-! -086
'+/0&+
0+!08!+%0-<3C:>
9M&D0 &..'.F
-'!.
!:-%0-/6
.$0%'-%0 0+$-'3&'+!(0$F30+0.3&$
.@$6I:30+0;]68-0.(.-
^
1-&$!
'%(0-'$ 0+-!.&'.&+(0$'/.0.3&$
. 0+6I:30+0-0-3.'30- 0+0 F
+-!6 60=&$0-
'+!.'3)$$0--0-( 6
+=&-)$0I'-!+A(0$'/.0-.3&$
.-@
@ #
&. ! - E!.
/.0
&
!.0
E.':+3&$0-=&'$:!.0-
&0
'-
&
/.
/0-
!
/.0
60
E.':+3&$0-=&'$:!.0-
B0/ /.0
B0 +!:30+0-
0-
/.0
N'+!
E.':+3&$0-=&'$:!.0-
U-!
++$0 0.. !08
&+=&+0(&/'.0+(.0
.$0B%0-
&$.$
3
.
+!F
/=&8 !'2
%+!8
I'-!+ -)$0 '+ 0 (0$'/.0- .3&$
.- .
/%0-!.
.$0 I($0.)8 +!- / '+' '
. -& '+2-!'3
')+8 &+
(.0('/
/=&0/ &+(0$'/.0 &
$=&'.
J'+ $&-0&+'..3&$
.
:@-&+$
/0/$(0$'/.0+ &-!')+8(0.7%($08&+ &0!'+-'- .
-@-$-3%+!0/$F+
/0+/ 0+$&,+/0-
.
-T;@-$(&+!0/0+/-'+!.- !
+$
-
.'-!
-
0+6
./&$.JT86
-'/0$%
!%:!' 0-&'<0%:-(.0$F' 0/$
6'-!0.'
E.
--&%&.!8-'+' ')&+
%' '0-0(.0, !0
(
.
(&$' .$
!0!
$'/
//-&0.
'+!F' 8 0%(&-!
(0.%:-/0 60 '+!0-!.
!
/0-=&
. +'+'+'/
//!%
-%
!%:!' 0-8
F-' 0-,
-!.0+)%' 0-
+ 0+!.) 0+&+
).%&$
=&.$
'0+
$+"%.0/2D.!' -8/
.'-!
-,/ .
-/&+(0$'/.0/
/0
E
$).%&$
$$2
-&+0%.8,/- .'&++"%.0$$
%
/0$
?+8
$=&/+0!
.%0- 0+$
$!.
3.'3
@V?-F8(
.
&+(0$F30+08$+"%.0m-!:/
/0(0.@
U T : 8
/0+/T-$+"%.0/2D.!' -8$+"%.0/
.'-!
-8,:$+"%.0/ .
-
N
+/B !L#,$F5FB$FE@!
..
+;?
+
13
38+
P
#
0+2+
#
3
8/
+
+. ..
#.
"+ .
82
+
#
#8
(0+3+ 3
3
.(
9&:$-$+"%.0/&$.8m8(
.
&+!!.
/.0;
N
%0-@(
.
- -08T8,:0.$0!
+!08N_?O_O8(0.$0=&m
9 &..$0%'-%0(
.
$ &0;
+ !08
=&F@T8,:&2
%+!$+"%.0/&$.8m8-
'-
($' -!
).%&$
(
.
$0-/%:-(0$'/.0-.3&$
.-8$+"%.0m-'3&-'+/0&$./%0-!.)=&
-'+'%(0.!
.$!'(0/(0$'/.0=&-!0%8$+"%.0m
-0 '
/0
D$-'%(.-.:-/ '.@
$
.
!0/0(0$F/.0!.'/'%+-'0+
$0 &..=&@ T : %($
+/0-!6 60/%
+.
/ &
/
, !&
+/0&+0- :$ &$0-.$
!'2
%+!-'%($-8 &$. (&/0
/%0-!.
. =& -)$0 I'-!+ '+ 0 (0$'/.0- .3&$
.-8 0+0 '/0- !
%'D+ 0%0 # #
8 +
60%+
7
&#
8=&'+$0-
-0 ') 0+$
(. ')+,$
$$<
0%06%0-%+ '0+
/08,(0.$0=&-%&-!.
..'
8+0-(0-'$+ 0+!.
.&+(0$'/.0.3&$
.=&
!+3
-)$06I:30+0- 0%0 .
-CD-!
-+0-
0%0/
.F
+86 60=&0-.2)&$.
'+%
.308-F-(0-'$%
+&
!&.
.&+(0$'/.0&+'+/0
/ &
/
%+!6I:30+0-,(+!:30+0-+
/
$
-(.'%.
-(.-0+
-+ 0+-3&'.$0&$.'$$
+!
.=&'! !0-!
/&+'/+-+
H+8
%/'
/0-
/$-'3$0[[E
$(0$'/.0-+ &+!.
+
$3&+
--!.& !&.
- .'-!
$'+
-
+'2$%0$ &$
.,8+60+0.
-!
3)%!.
$$2
$+0%./"+
00-!
+!8 -
%0-=& !
%'D+ $ %
!%:!' 0 3.'30 E!!0 ,8 /-(&D-8$ ('+!0. '+2+!0. '!
$'
+0
0+
./0/
N'+ '86
F
++ 0+!.
/0-!(0$'/.0
' !0%
%0- &+ $)+ / "!0$ , $0 0-.2
%0- 0+ &'/
/08 2.%0- =& -!: 0+-!'!&'/0 7&-!0 (0.
6I:30+0-,(+!:30+0-8&+'/0-%/'
+! 0-!&.
-?$ " &+&$.+0 0+-3&'%0-&+
$)+/ "!0$
]0.0!.
(
.!8.-&$!
-0.(.+/+!=&$+"%.0/ .
-82D.!' -,
.'-!
-/$&$.+0-
!'-
+!
%'D+
$
.$
')+/&$.8,$+"%.0m-'3&-'+/0^
#
381
+#! 3+
"(.3
.3
);
' 0-
/.0!.&+ /0
K5&U$
B+)&&WJ)O
+$
(.'%.
&+'/
//-!$'.0 0+0 '%0-$
- &+ '
/+"%.0- 0+0 '/
0%0$
- &+ '
0-& -')+
/A'0+
'0-(.'%.0-!D.%'+0-/-!
- &+ '
-0+@
888888888888
' 0+-'/.
%0-$0- 0 '+!-/$0-+"%.0--& -'20-/A'0+
'8-&.3&+(
!.)+@
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
Q
?$ (
. .8 $0- 0 '+!- - (.0I'%
+ &+ +"%.0 /!.%'+
/08 . +0 $C$E5@@ -! -
2./
/.
%+! $ -0 0+0.% %:- 2
+<
%0- + $
- &+ '
/ 0 '+!-8 -!0- +"%.0- - 2
+
(.0I'%
+/0
&++"%.0-( '
$8&+
(.0(0. ')+8$$
%
/
!. D %80/0.08/+0!
/0(0.$
$!.
3.'3
@X
9M&D!'+/-( '
$-!+"%.0;90.=&D+0- 0%0$0-/%:-;B$%'-%0%0/0=& H-.$
'0+
0+$
'3&.
30%D!.' %:-(. !
\$ F. &$0\8$+"%.0:&.0 - -$+"%.0/$
$$<
?
0+!'+&
')+2.%0-(0.=&D
$+"%.0-(.!+ $ 0+7&+!0/$0-+"%.0-'..
'0+
$-8-!0-8$0-=&+0(&/+I(.-
.- 0%0
0 '+! / /0- +"%.0- +!.0- 0. 7%($08 . 0./%0- =& $ +"%.0 - '..
'0+
$ 0/%0-
0%(&!
.
$+"%.0- 0+&+
$ &$
/0.
8-'3&'+/0$
-'+-!.& '0+-/
/
-
0+!'+&
')+@
$ &$
%0-$
.
F< &
/.
/
/A8$-&%
%0-$8,/'2'/'%0-$.-&$!
/0+!.0.!
+!08$
).%&$
(
.
0!+.$+"%.0:&.0-@
- !%:!' %+!6
$
+/08(0/%0-/'+'.$+"%.0:&.0 0%0
=&$
$=&-'$-&%
%0-&+08=&'2
$
$2
.$0
$ &
/.
/0@ L
-!
=&F!0/0(&/(
. .+0-
.'!%D!' '+%
.308$02./
/.
%+!%'-!.'0-0,
- '+
+!-=&
-!+"%.0
(
. +$
.!@+$
.=&'! !&.
8$
('+!&.
,$
%"-' C+$
+
!&.
$<
@+$
/'-!.'& ')+/
$
-607
-+&+!
$$08+$
0.%
')+/$0- .
0$- 0%0$!##J2.'%:3+-8,
"++$ &.(0
6&%
+0
+$
!F+-$$$
%)$.+-/ '.8- ')+:&.
80(.0(0. ')+:&.
+/
!0/'+!.D--=&$
-!
.7!
-/ .D/'!0,$
- ./+ '
$-/'/+!'' ')+-!:+$
0.
/
--3"+
-!+"%.0@-'-%'/$$
.30,-/'2'/+!.$
+ 608-!'+$+"%.0 -8(0.$0=&3&
./
+&+
(.0(0. ')+
.%0+'0-
,8-'+I
3.
.8(0/%0-/ '.=&-&-(.0(0. '0+--0+$$
-
U&JB)U)
+. !:+3&$0:&.0-&+. !:+3&$0!
$=&-&$
.30,-&
+ 603&
./
+&+
(.0(0. ')+:&.
?-F8-'-$
$
.30,/+0!
$
$!&.
8-!+/.:@
- +
&+
(.0I'%
')+
&+. !:+3&$0:&.08-$
607
!
%
400' '08=& 0+0 -%&,'+K-!
%'/
%/
-(0. %/
$!&.
'/'2'/-$$
/0%
,0.+!.$%+0.0!+/.:-8 '.
%&,
(.0I'%
/
$ +"%.0 :&.0 :- /$
+! 2.%0- )%0 0+-!.&'. &+ 2./
/.0 . !:+3&$0 :&.08 -'+
(.0I'%
'0+- 0%0$
+!.'0.8%($
+/0.3$
, 0%(:-
+
/$
-(.0('/
/-/$0-. !:+3&$0-:&.0-%:--0.(.+/+!,
- '+
+!-$
/=&8-'-!0%
+/0-
/$$0-,- 0$0 +7&+!0-8&+0/%
+.
60.'<0+!
$,$0!.0+0.%
2.!' $8I'-!&+
. !
=&&+
!.-/-&-2D.!' -K-!0-)$00 &..(
.
. !:+3&$0-:&.0-8,+'+3"+0!.0. !:+3&$0 &%($!
$(.0('/
/@
+'+/0 &
!.0. !:+3&$0-:&.0-8,%($
+/0$
(.0('/
/
+!.'0.8(0/%0-+ 0+!.
.+0- 0+'3&.
-
%&,$$
-8=&(0-+$%+!0-/-'%!.F
'+!.-
+!-,=&+0-6
+-0-( 6
.=&8+ !08+!.$
+"%.0-,$
.!I'-!&+
F+!'%
0+I')+@
%)&)&JB)@U
.3$
,$ 0%(:--0+ 0+0 '/0- 0%0$
-6..
%'+!
-+
+$
0.
>?
8 0%('$
/
(0.& $'/-8-+0-%&-!.
$
$ + /-!0-/0-'+-!.&%+!0-(
.
!.
<
.'3&.
-, 0+0 .(.0('/
/-/
$0-07!0-30%D!.' 0-
.3$
& $'/'
+
- 0%0$
=& 0+0 %0-8(.0-'+- $
/+'+3&+
-( '$ 0%(:-/$0-3.'30-
.
/'-!'+!0
$+&-!.08(.0+!.$=&$$0-%($
.0+,$+&-!.0+0I'-!/'.+ '
+$0-.-&$!
/0-C
-F
=&$ 0%(:-
!&
$(&/-. 0+-'/.
/0&+
6..
%'+!
& $'/'
+
12'-%0-
$3&+0-7%($0-/
)%0 0+-!.&'.'3&.
-30%D!.' -&!'$'<
+/0.3$
, 0%(:-
>
.
0+-!.&'.
.3$
, 0%(:-&+D!"# 4#D 8(.0 /
%0- 0%0-'3&@
E.
%0-&+-3%+!0 /$0+3'!&/
.'!.
.'
?.
%0-$ 0%(:-/%0/0=&
.=&!
$-3%+!0
B-/$(&+!0,$&30/-/$(&+!0!.
<
.
. 0-/ '. &+.+ '
=&-'+!.- !++&+(&+!0:?$
&+'.$0-(&+!0-8,:8!+/.%0-&+!.':+3&$0=&'$:!.0
><
B
/
&+
. !
8 0+-!.&'.
.3$
, 0%(:-&+
--!#
D-!
$'7
%0-/0-(&+!0-,+$
. !
?.
%0-$ 0%(:-/%0/0=&
.=&$
$0+3'!&//$-3%+!0
E0%
+/0 0%0 ..+ '
$ (&+!0 , (0-!.'0.%+! $ !.
%0- . 0- / '. &+.+ '
=& -
'+!.- !++$0-(&+!0-:,N
. !
=&(
-
(0.$0-(&+!0-:,N-(.(+/' &$
.
$
. !
=&(
-
(0.$0-(&+!0-,
>=
)%02!D!"# .3$
, 0%(:-@
B-/$2D.!' /$:+3&$0!.: -&+
. 0/ '. &+.+ '
/.
/'0
.'!.
.'0=&(
-(0.$0-(&+!0-,
: E0%
+/0 /
&+0 / -!0- +&20- (&+!0- 0%0 ..+ '
8 !.: +- /0- . 0- / '. &+.+ '
8
.-( !'2
%+!=&-'+!.- !
.:+/+!.0/$:+3&$08+&+(&+!0N
. !
=&(
-
(0.$0-(&+!0-,
N8'- !
$:+3&$0/
/0
?
+ $
- ')+ +!.'0. 6
$
%0- / $
(.0(0. ')+ :&.
N
%0- )%0 0+-!.&'.8 .3$
, 0%(:-8 &+
D!"# D 8-/ '.8 &,0-$
/0-J
-,
$!&.
!+3
+&+
(.0(0. ')+:&.
@
E0%%0-&+ &
/.
/0 &
$=&'.
+ 0+!.%0-8%/'
+!
. 0-/$ 0%(:-8$ +!.0 : , / /
$
/0
60.'<0+!
$/$ &
/.
/08,!.
%0- 0+$
.3$
&+-3%+!02.!' $=&/'2'/
$ &
/.
/0+/0-(
.!-
'3&
$-8,+/0/$(&+!0
$(&+!0:0+$
.3$
8"+
-$
(
.!%/'
/$
-8 0+$2D.!' -&(.'0.
/. 60N8%/'
+!&+
/'
30+
$l.
-$ 0%(:-/%0/0=&
.=&!
$/'
30+
$,!.: -&+
&.2
6
'
70 0%0-'+/' +$
'3&.
8 0+$
(&+!
/$ 0%(:-+$(&+!0 E0%
+/0 0%0
-$
-3%+!0?, 0%0
$!&.
&+-3%+!0/$0+3'!&/:8!+/.%0-&+. !:+3&$0:&.0(. !0
5&6)
?60.
=& 6
- I(.'%+!
/0 $
$)3' , $ &+ '0+
%'+!0 / -!
- 6..
%'+!
-8 '+!+!
.-0$2. $
-
-'3&'+!-
!'2'/
/-/%
+.
'+/'2'/&
$?$'+
$'<
.80-'!'+-/&/
-8 0%(
.!$0-.-&$!
/0- 0+!&-
0%(
4.0-0!&(.0-0.
>%0+-!.&'.&+ &
/.
/0.3&$
.
.3$
, 0%(:-
>;0+-!.&'.&+6I:30+0.3&$
.
.3$
, 0%(:-
> +!+!
.+ 0+!.
.$
%
+.
/!.
<
.&+(+!:30+0.3&$
.
.3$
, 0%(:-J-!7. ' '0.=&'.
%& 6
'+2+!'2
8(.0 0+-!'!&,&+I $+!.!0(
.
=&'+$0'+!+!
>
L
'+/0&-0
/ &
/0/!0/0$0I(&-!08!.'- !
.&+:+3&$0/ 53.
/0-
>< 9.:(0-'$!.'- !
.&+:+3&$0/ C5 3.
/0-;9U8+3+.
$8&+:+3&$0 &
$=&'.
;'$0 0+-'/.
-
+ -
.'08(.3&+!
!&(.0-0.
;+B
?"$!'%
- 6
- $
30%!.F
6
/
/0 &+ 3'.0 '%(.-'0+
+!8 $&30 / =& $0- %
!%:!' 0- 6
+6 60
$3&+0-/- &.'%'+!0-=&
$(.'+ '('0$0-/- 0+ .!
.0+$
$%:+H0.3
+!0.8=&'<:$%:!%
!' 0
%:-0.'3'+
$/!0/0-$0-!'%(0-'+!.0/&708-'+(.0(0+D.-$08$ 0+ (!0/#
+!0.6'<0$0-'3&'+!@!0%)&+-3%+!0/. !
8$0/'2'/')+!.-(
.!-'3&
$-,.!'.)$
/+%/'0?
0+!'+&
')+8.('!')$(.0 /'%'+!0 0+ /
&+0/$0--3%+!0-.-!
+!-B-(&D-6'<0$0%'-%0 0+
$0-=&&.0+=&/
+/08D-!0- /
2<%:-(=&40-8,
-F-& -'2
%+!
-'3&.
-.-&$!
+!-&.0+$
-
-'3&'+!-
+!0.'%
3'+)$0=&0 &..'.F
-' 0+!'+&
-!(.0 /'%'+!06
-!
$'+'+'!0,8(
.
-0.(.-
-&,
8-0
=&(
. F
+(&+!0-=&--&%
.F
++$
+
/
8 0+!'+&
I'-!'+/08,+0.
$ 0+7&+!02
F0L
F
&+
-0.(.-
%:-@ /
-& 0+7&+!0/(&+!0-.
-'%'$
.
&
$=&'.
=&-$'3'.
8-'+'%(0.!
.$!
%
40
0.7%($08+$!. .(
-0/$
'3&.
6
,/0- 0+7&+!0-=&-0+'/D+!' 0-
$/$
'3&.
+!.'0.J$
/$
(
-0 C -)$0 =& %:- (=&4
- -!0 - 0+0 0%0 +8 , - (.0('0 / $0- 0+7&+!0-
0+0 '/0- 0%0#
.0 $!
&+ .-&$!
/0 '3&
$ / -0.(.+/+!@ $
/'%+-')+ / -! 0+7&+!0 /- &'.!0 (0. +!0.
J$$
%
/0&2:
+-&60+0.8.
+0+!.
?$'+' '0/-!!%
/ F
%0-=&$
/'%+-')+/$
. !
0/&+-3%+!0/. !
-&+0,$
/'%+-')+/&+(&+!0- .0&-'+8$
/'%+-')+/$&2 :
+0-+' .0+'&+08-'+0=&-+ &+!.
+&+(&+!0'+!.%/'08(0.$0=&-/' =&-
"
@/
6F2'+$+0%./.
!
$
& 60-.
!
$-+0-
,&/
+
7. '!
.+&-!.
'+!&' ')+0+&-!.0(+-
%'+!0'+/& !'20.08
/%:-8
$30
=& .
!.'<
$0-.
!
$--=&-0+07!0-%
!%:!' 0-/3.
+$$<
? 0+!'+&
')+%0-!.
.%0-
)%0 0+-!.&'. $3&+0- 0!.0- .
!
$- / /'%+-')+ .
'0+
.'
+!. &+0 , /0-8 =& -0+ "+ %:-
'+!.-
+!-=&$&2:
%( %0- 0+&+0%&, 0+0 '/08/+0%'+
/0$ ).
3+*
8/'/0
$%
!%:!' 0(0$
0
*
L
, =& !0%
. &+ &
/.
/0 /$ !
%
40 =&- /-8 /-(&D- /'2'/'.$0+ &
!.0 &
/.
/0-
'3&
$-,.!'.
.$-&(.'0./. 608 0%0-%&-!.
708/0+/$
-3&+/
'3&.
-0!'+/$
(.'%.
@
? 0+!'+&
')+8 /
&+0/$0-!.- &
/.
/0-.-!
+!--/'2'/+&2
%+!+ &
!.08,/+&20-.!'.
$-&(.'0./. 6087&-!0 0%0$(.0 /'%'+!0
+!.'0.
'3&.
.-&$!
+!-$
-'3&'+!@
'-'3&'D-%0--!(.0 -0'!.
!'2
%+!%& 6
-2 -%:-J'+ $&-0(0/.F
%0-'%
3'+
.=&$06
%0-
6
-!
$'+'+'!08$.
!
$.-&$!
+!!+/.F
$
0.%
=&-%&-!.
'.('+-P'-6'<0
%0-0(0./- &.'.
-!.
!
$@
!.0.
!
$8!
%'D+
!.'&'/0
$%
!%:!' 0(0$
08, 0+0 '/0 0%0$
?
P*
8- 0+-!.&,
-F@E)%-&+ &
/.
/08/'2F/
-+(
.!-'3&
$-,=&F!-7&-!0$
/$ +!.08 0%0-%&-!.
+$
'3&.
/ $
'<=&'./
B-(&D-8 /
&+0 / $0- &
/.
/0- .-!
+!- .(F!
-$- $ (.0 /'%+!0
+&+ '
/08=&/
+/0$0-
..3$0-/$
'3&.
=&
(
. +$ +!.0'- 0+!'+"
$(.0 -06
-!
'+'+'!0
!+/.%0-&+.
!
$ 0%0$/$
I!.%
/. 6
@
L
,%& 60-.
!
$-=&(&/+ 0+-!.&'.-8'+ $&-0!"(&/-/- &.'.
$3&+0-'+!.-
+!-/'&7
+/0+
607
-/ &
/.F &$
$0-
..3$0-=&-2
+0!+'+/0B
.%0-
$3&+0-7%($0-%:-/.
!
$-8+$0-
=&-'+/' .:$
(
.!' ')+8,$.
!
$.-&$!
+!8!"(&/-//& '.: '$%+!$0=&-6'<0,-3&'.$0-
(
-0-8 0%0+$0- -0-
+!.'0.-
B&+
&
/.F &$
0+(
.!-'3&
$-8.!F.+-8=&/
+/0&+
E 0%0-%&-!.
70B-(&D-/$
(.0 -08$.-&$!
/0-&+
)"@
?60.
8/&+
&
/.F &$
0+(
.!-8.!F.+-8/%0/0=&=&/$
'3&.
/
70?$'+
$/$(.0 -0
-0!+/.:&+
'3&.
-'%'$
.
$
/$
/. 6
@
? 0+!'+&
')+8/&+
..3$0 0%0$/$
'<=&./
8/-(&D-/'!.
.8-0!'+&+ "J
.!F &$
'+' $-/ &
/.
/0-'3&
$-8/$0-=&--&-!.
+
B&+
L8=&.-&$!
=&'!
+/0- '0+-/&+
&
/.F &$
/+&280!+%0-&+
I"@
B$
..3$0=&-!'+
$.!'.
.- ')+/&+
&
/.F &$
/8'!.
+/0
$'+'+'!08-0!'+&+
/0+"@
+&
*)+&AAB)J+O
f
$/0.8?;DI' 0@
!.'
&$!&.
$8
f$$8EIQ.DI' 0@A0+/0/&$!&.
0+)%' 8
0$8b?O
2/;1Q.2/f
. $0+
@/'!0.'
$f8
H
./+.8
.!'+H2.3B.
/.'/@/'!0.'
$?$'
+<
8
b$'+80..'- Q.+
I+
DI' 0@A0+/0/&$!&.
0+)%' 8
+/
2./8:+S8DI' 0@/'!0.'
$.03.-08
&=&&+
8?$.!0?
S8?+
DI' 0@'%&-
8
'$$.86
.$-8Q.1'/
DI' 0@
.-0+8
0!6+.8.
Q(&f0-!0+@f'.P6
&-.f0-!0+8
'
3!88
+/<%'+-P
8?)(:(V
"3?@.+!' L
$$8
.$%
+8U
P02;2f
. $0+
@/10 8
)$,
8H0.3I62.'+ !0+@.'+ !0++'2.-'!,.--8
3
+8
.$Q
f
. $0+
@/' '0+-f8
!X
.!8
+N0+8
"
f
. $0+
@/.F!' 8
E
6
+8
$
?(0++?.3+!'+
@/$&%
,
($8
E60%(-0+8?S8
DI' 0@/'!0.'
$EL?8
)YA)&B
6!!(@QQ0%3
'$ /&%I@Q-'!-Q!$- Q &.-0Q6!%$Q- Z6!%$
6!!(@QQ($
!
(+!' % -Qn
+&+< Q
,&/
-Q%
3+'!&/-Q%
3+'!&/-Z(.0(0. '0+
$-6!%oN1
?
6!!(@QQ($
!
(+!' % -Qn
(.<Q
6!!(@QQ($
!
(+!' % -Qn7- &/.Q
$3.
6!%
6!!(@QQ---- !0.%
!%
!' $Q 0%. '
$Q!
+!0(0. '+!06!%$
6!!(@QQXXXT!-'&3.-Q(.0-0.-Q7%
.0<
Q
+
/0!
.'0Q
+ /0!
.'06!%
6!!(@QQXXX
%70. 0%Q%
!-Q$0=&-Q!0/0-(.0$%
-Q/$ZZ
$Z'+
$6!%
6!!(@QQXXX30 '!'- 0%Q?!6+-Q? .0(0$'-QQ &%
!6!%
6!!(@QQXXX7&+!
/
+/
$& '
-Q
2..0-Q'-
..0,0Q%
!%
!' -Q%
!.'
$-Q-0Q+&%.0-Q.
'0+-Q.
'
0+-6!%
6!!(@QQXXX$'.,- 0%Q!
+!0(0. '+!0
6!!(@QQXXX%
.'-!
- 0%
.Q 6
%(
3+
!Q(0$'Q%
!6!%
6!!(@QQXXX-
'
-=&'+0Q%
!%
!'
-6!%
6!!(@QQXXX- !0.%
!%
!' $Q 0%. '
$Q!
+!0(0. '+!06!%
6!!(@QQXXX!..
-Q(.-0+
$Q'7'
Q!
+3.
%6!%
6!!(@QQXXX2
+3&
./'
/&
!'2
0%Q 0+!+'/0-T'$'0! Q 0+!+'/0-e%
!%
!' 6!%
6!!(@QQXXXI! -Qn30+<
$Q &.'0Z'..
6!%$
6!!(@QQXXX.'+P-!. 0%Q%
.!'+<Q
.'!%!' 6!%
Esta obra se terminó de imprimir
en el mes de agosto de 2009
en el taller de impresión de la
Universidad Autónoma de la Ciudad de México
con un tiraje de 3500 ejemplares.
Principia es un libro dirigido, en general, a todo aquel que le interese adentrarse en la matemática a un nivel básico universitario, y
especialmente a los estudiantes de la Universidad Autónoma de la
Ciudad de México que cursan el módulo inicial del Programa de
Integración.
La propuesta metodológica se basa en la comprensión de los principios matemáticos como elementos esenciales para el entendimiento
de un universo tan maravilloso como vasto. Privilegia, antes que el
conocimiento, el pensamiento y la imaginación; el uso creativo de
la razón.
Siguiendo la ¿losofía del matemático Pólya, quien habla de la “excitación del descubrimiento”, Principia se estructura bajo la consigna de aprender por medio del razonamiento y la resolución de
problemas. Cada sección, tanto la de aritmética como la de geometría, y en particular la de razonamiento inductivo, incluyen ejercicios y notas históricas amenas que permiten que el lector perciba
la génesis de algunos tópicos matemáticos.
Introducir al lector en este mundo y despojarlo de sus miedos, ayudarlo a comprender lo que ocurre de manera natural y sumergirlo en su goce y disfrute son los propósitos fundamentales de esta
obra.