Fermionic systems Electron gas The ideal Fermi gas is a good

!#"#$&%(')+*
,&-/.10324.65879/.6:;<0>=?58@&03@A5=CBDBD2E5GF#F/:BIH40J;K5ML0JB8NPOQB8:A.H458;<F/7R.
OQBC:&L-/.TSB8N#24UVSWL0JN/=<.7J.6S
L:XB8N#@&0JN5Y;Y.LX587[Z a
\]-/.6NEL-/.T@0RN#=87J.^FV5G:L03S
7J.^.6N/.:X=80J.6@&58:.`_Wa^bdegc hf i f 03@
vxwMy h€
jkMl _nmob prt8qCu s h {z h|~}X _
h€
b p w u q s vxwM{ y h | }X _g‚
ƒ @+L-/.T24.6N#@0„L†…‡x.1=8.L
€
h ‹Œ
z
v
G
w
y
‰
_ ‚
_
ˆ b p bŠt8qCu s h {z h |~}X
ސ ‘6’/“J”†•—–M˜—™›š
,&-/.1.6N/.:X=8…œF—.:AFV5G:L03S
7J.^‡A0J7J7V.
Œ
f
_+z b(‰ ž z b Ÿ Ž Œ  __ ¥§¦6¨„©[”¢ª8¡¤£ «
f ¬¢­ k ‚
Ÿ Ž  ¥ ¦6¨„©[”¯ª8® £ «
¬ ­ k
°±G²D±8³—±G´
µ?¶n±8·¹¸—±G´6ºE» ²Dµ?¼
½ U#F/FVB?@¾.^LX-#5ML~¿CÀÂÁ›ÃÅÄÆZ
Ç.
L6È @&‡A:X0„LX.
š
b›É ÄÊ_nm ™ { l _ÊËÄmWÌ
‘6’/“J”†•—–M˜—™›š l
‡A-/.6:.
{ lQÍ mb›@0J=8N l¢Í m š ‚
‘6’VÎ Ï?Î6™›š
,&-/.^OQU/NVSWL0JB8N { lQÍ mA24.ÐD035MLX.6@+OQ:XB8;ÒÑ6.:XBYBCN/7J…P5ML&L-#.`N#5G:X:BM‡
24BC;K5G0JNÓ Í Ó¢Õ Ô ¿ À Á]ÃÄÆZ
h
( x
)
x
=
e -
m
Ç.
L6È @&.ÐM587RU#5GL.^L-#.`0RN?L.6=8:n5G7
‹ Œ
_ Ö l _Wm
Ž  ‹ ‘ ’/Œ “J”†•—–M˜ ™›š
b
_ l _Wm>Ø É l ÄEÊ_Wm ™ { l _ÂÊÙÄm¤Ú
Ž‹ ׏ Ö
‹ÛŒ
b – _ Ö l _Wm ™
_ { l _Wm>Ø Ö l Ä ™ _nmÊ Ö l ÄÊ_nm¤Ú
Ž‹ Ҍ 
ސ
_ { l _Wm Ö l ÄÊ_nm
‚
™
– 
,&-/.17358@¾LAL.6:;Ò03@AB8OL-#.`B8:n24.:
aÜ Ý
{ l Ämb aWܗš Ý
ß
•
–
‘
‘–
™›šÞ 

58N#2S65GNEV.T2/0J@XS58:X24.g2>Z
à§O Ö l _Wm+:.6=8U/735G:&.6N/B8U/=C-0JNEL-/.`ÐD03S
0JN/0RL†…œBGOÆ_ Äه+.`S5GN
Þ
.HDFV5GN#2
š
Ö l Ä ™ _nmÊ Ö l ÄÊ_Wm Þ w ֗á l Äm¾_ ™ w â/ã ÖVá á á l Äm¾_ } ™]ä6ää ‚
åBM‡
‹Œ
_
ސ
Þ
™
Ö l _Wm
‹ ‘ ’/– “J”†•—–M˜ ™›š
_ l _nm
ŽÒ Ö
w ֗á l Äm l ¿ À Á~m h ‹ Œ
Ž ‹?æ Œ ‘Içxæ ™›š
™ w ֗á á á l Äm â/š ã l ¿CÀÂÁ~m†è
Ž×?æ ‘Içxæ ™›} š
™Ûää6ä
58N#2‡x.1.NV2U#FE‡A0RL-Ëé>êMëYë<ìíQî
ì
ïJðñ òYìXó
ô/õGö/òW÷¢êMö
‹ Œ
‹ –
_ Ö l _Wm
_ Ö l _Wm ™ u ø h l ¿8ÀÂÁ~m h Ö á l Äm
Ž  ‘6’/“J”†•—–M˜>™]š Þ Ž 
u
™â8ù øCú è l ¿CÀxÁ~m¤è ÖVá á á l Äm ™›ää6ä ‚
û ?± ºPü±G´
µ?¶ný—´
±<þ ÿ åBM‡
58N#2 { l¢Í mÂb ú Z
,&-#. ìíWë÷xìö—ìí~03@
z l _nmb›É l ÄEÊ_Wm
h
_
]
b Ä b {z Gw y ¿ h ‚
,&-#. ìíWë÷ëKêMëKìö4ë 03@
b {z ¿ ‚
,&-#.12/.N#@0„L†…0J@
€
vÂwGy h ‹
ˆ b t8qCu s h {z h | }X Ž – _ _

h
Â
v
G
w
y
_
b ø qCu s h {z h| }n
BC:
ˆ b ø qCu s h ¿ ‚
,&-#.1@F/0JN24.=C.N/.6:X5CS
…<O¢58S
LBC:ABGO .67R.g} SWLX:BCN#@&0J@
k
qCs b w ä h ™›š b w @¾B
¿
ˆ b â u } h ‚
9#B8:&LX-/.`.N/.6:=C…KFV.6:F#58:¾LX0JS7R.1‡+.^=C.
L
k
_ z b _
Ÿ Ž k  ÍÍ }nk  hh b]_
ww â
Ÿ Ž  ÍÍ 
â
b _ ‚
,&-#.~LXBGLn5G7.6N/.:X=8…K03@
â _
Ɖ(b ⠉ {z h v ø u h ˆ h ‚
b
wGy
ž qCs | X}
½ 0JN#S.
‡+.1-#5IÐ8.
h
Á b v š ‚ ?w | š ⠂ ø ä8š8š ø8ú t&>T‚
s
9#B8:587RU/;<0JN/0JU/;ÒLX-/.T9/.6:;<0ßL.6;<FV.6:X5GLU/:X.`0J@&Á b š â8øúCú8ú >`Z
à¤N=C.N/.6:X587 L-#.`;Y.LX587J@A@X5MLX0J@¾OQ…
Á]ÃÅÁ Ì
@BYL-/.`;<.LX5G7J7J0JS^.7J.6S
L:XB8NE=C5C@&0J@A@¾L:XB8N/=C7R…œ2/.=8.6N/.:n5MLX.62>Z
é8ô/?ì ÷ @ACB/ìnõ Ç.
LN#BM‡ E
Á D ú /U4LÁ›ÃÅÁ Z
\Ë.`N/.6.62Ä b]Ä l Á~m ‡A-/.6N F c b ˆ 03@ # N/BM‡ANZ
\]0RL-ELX-/.`-/.7JFBGOL-/. ½ B8;<;<.:OQ.732P.HDFV5GN#@0RBCN‡+.1=8.L
w _ h b t8u h v {z h h b ‹ Œ _ _ k h
}X ˆ Ž  ‘’#“J”¤•ß–M ˜ß™›š
â }X
qw Cs wMy u | h
š
â Ä }X h ™ š w l ¿8ÀÂÁ~m h € Ä ™›äää
s b Ì
Þ
Ž
@B<‡x.`S65GNE‡A:0RL.
‡A-/.6:. Ž 03@+L-/.+B8-#:A:X5C240RUV@
w Ä Hh G u h ¿CÀÁ^m h š
w _ h‚
h
b
{
8
t
u
_
x
š
™
l
]
™
6
ä
ä
ä
I
z
Ž
h
%
_
â
â
8
w
ƒ
Ì
Ž b y ‘h b ú‚
}n
}X
#
9
:
C
B
;
L
/
3
0
&
@
+
‡
^
.
C
=
.
+
L
Q
O
8
B
+
:
L
#
1
.
n
S
#
.
<
;
J
0
6
S
G
5
>
7
—
F
G
B
X
L
.
?
N
L
3
0
G
5
—
7
L
#
^
.
.H4F/:.g@@0JB8N
‡+.`S5GN@..^L-#5GL
h
Ä l Á~mÆb›_ EJ š Ê u w h v ¿ _ À Á | ™›äää K ‚
bˆ š ‚ ø š â äCš ú } Ž ; š ‚
š
s}
}
9#B8:A;<.
Ln5G73@&‡x.1-#5IÐC.
LÂ;<F/7RBM…D0JN/=<5G=C580RNPL-/. ½ B8;<;<.:OQ.732.H4F#5GN#@0JB8NE‡x.1=8.L
‹ Œ
š ‚ ÕÔ s ÕÔ ‚ ø ‚
_ _ }n h
Ž  ‘6’/“3”¤•ß–M˜ß™›š h
,&-/.`9#.:X;Y0‡+5IÐC.~ÐC.6SWLXB8:&‡A0J7R7—.6SB8;<.
w ÄM h u ¿8ÀxÁ~m h € Ä
™›ää6ä
C
w
u
‚
Þ  ™ t l
¿ b š ¡ t b š ‚
Ž s
Ž s
w _ h J u h v ¿CÀÂÁ h
b
 šx™ š w
_ | K ™›ää6ä ‚
,&-/. ì
íWëY÷Mì
ïRê ÷ 103@
{z ¿ ‚ ?w {z
åBM‡›LX-/.`.N/.6:=CO… NIF#58:¾LX0JS7R.~0J@
! b y b y b yš Ž s
Œ
f
b tV‚ w ä8š ú" ; @ ‚
_z l Á^mob Ÿ Ž Œ  __ ¥§¦6¨„©[”¢ª8¡¤£ «
f ¬¢­ k
s
Ÿ Ž  ¥§¦6¨„©[” ª8® £ «
¬¢­ k
9#B8:A.
H/58;YF#7R.10JN587RU#;Y0JN/0JU/;
â _ PJ šx™ u h v ¿8ÀÂÁ h K
b
_ |
;
šw
! b w ú w# @ b š t&$ % ‚
b â _ ™ u t h ¿ Àh _
Á h ‚
,&-/. ì
íWëY÷ §ìëô#ìíõ 4íìxB8:+L-#.12/.=8.6N/.:n58S…YL.;<F—.:n5G:XU/:X.Á [email protected]/.62@BLX-#5ML
,&-#.^-#.65MLS65GF#5CS
0RL†…K‡A-/03Sn-S65GNEV.`‡A:X0RL¾L.6N58@
¿ À Á b›_
&‚
F
åBM‡
Q
b ‰ Á _z b]‰ u w h ¿ _ Àh Á
h
_
b wMy {z h h v š ‚ ?w | b ⠂ ø h š ⠂ ø .=<`‚
b ‰¹¿8À u w h Á Á Ì
Ž
s
s
' () *
+-,/.
0,/.-1
03@A@;<587R7‡A-/.NS
BC;YFV5G:X.62.8Z =#F Z‡A0„LX-EL-/[email protected]
R0 VS1-/.g5MLABGOL-/.
2 . 243 1658769
S¹5MH4‡x.67RR7 TUxBC7„LXÑ;K5GN#NP=C5C@ l Q b›‰¹¿8À m
Z,&-/0J@0J@
:;5-0 3 7 1 2 .
U#N#24.:n@¾LX5GNV2/5G/7J.`@¾0JN#S.~LX-/.`NDU/; —.:AB8O LXh-/} [email protected]#5G:L03S
7J.6@+LX-#5ML
½ 0JN#S.
S65GNEV.`.H/S
0RL.62E‡A0RL-EL-#.1L-/.6:;K5G7>.6N/.:X=8… ¿CÀÁ 0J@~V
à SW
.š =< b š8š øCú tD¿8À>YÌ
BC: XL [email protected]@A24U/.^LXB<L-/. YÆ58U/7R0ß.H4S7RUV@¾0JB8NEF/Õ :X0RN#S0RF#7R.CZ
ž b›SB8N#@¾LX58NCL‰ } p • h X} Ì
‡+.1-#5IÐ8.
Ê b v žp | b Ê âw žp
BC:
w
p b ⠞ ‚
±G¶nµ
3»<±J±g¶n´4³²Dµ?¼
\]-/.6N‡x.1‡A:X0„LX.~LX-/.T24.6N#@¾0RL†…5C@
‰z
ˆ b p b è u š 58N#22/.#N/.1LX-/.T240J;<.N#@0RBCN/7J.6@&NDU/; } —.: }
xµ?ý 3» „¼1üßµC´
µ4ºµC²4³—±G¶W»3¼
º
,&-/.1;K5G=CN/.
LX0JS^;<B8;<.6NCLB8O LX-/.`.7J.6S
L:XB8N0J@
b Ê y‘
BC:
Ä ç b ÊAÄ À ç Ì
‡A-/.6:.
Ä À b wG‘ y {z b ‚ øCø äGš ú • .6, <
58N#2
w
ç b {z gç b š ‚
à¤N5GN.
HDLX.:XN#5G7>;K5G=CN/.
LX0JS #.67J2LX-/.`.N/.6:=C…KBGOÆ5GNE.7J.6S
L:XB8NE0J@
_ ~b]_ b wGy h ÊËÄ ç b _ ™ ÄÀ ç
‡A-/.6NPLX-/. # 0RN#.
L03S1.N#.:X=8…œ03@
_ b wMy h ‚
\Ë.T@†LX0R7J7>LX:.g5MLA.7J.6S
L:XB8N#@&58@&N#B8N0RN?LX.:n58SWLX0RN#=Y@BYL-/.`=C:X58N#2
S65GN/BCN/0JS65G7ßF#58:¾LX0„LX0RBCNPOQU/NVSWL0JB8N03@A58@&—.
OQBC:. F/:BMÐD0324.62PL-V5MLA‡x.
:X.F/7358S.^_ _ ™ Ä À ç Z
,&-/.1B4SSU/F#5GL0JB8NEN?U#; —.:n@&BGOL-/.T@¾LX5GL.6@A58:.1N/BM‡
z ^b z b ‘ ’#“J” ­ – Ü À š •ß–M˜ ™›š ‚
n
à§OL-#.T@†LX:.6N/=GLX-B8O LX-/.1;<58=8N/.L03S #.732E0J@
_
Ž b ÄÀ Ì
LX-/.`;K5G=CN/.
LX0JS^.N#.:X=8…K03@ABGO L-/.T@X5G;<.1B8:n24.:5C@+L-/.T9#.:X;<0
.6N/.:X=8…CZÆ9/B8:A;<.LX5G73@A_ 6. < @B Ž š ú ,1Z ½ BYL-/.
:X.6587R03@¾L03S~;K58=8N/.L03S V.732/Þ@A5G:X. à Ž 58N#Þ 2‡x.TS65GNE‡xBC: # 5GL+LX-/.
@;K5G7J7 7R0J;<0„LgZÇ.LU#@24.6N/BGLX.
¿ b ¿ G¿ Ì
@B
{z h ¿ h Ä À b {z h ¿ h {z h ¿ G¿ Ä À
wGy
wMy
y
h
h
b Ä b {z wMy ¿ ‚
9#:BC; L-#0J@A‡+.1=8.L
G¿ b Ê {yz h Ä ¿À
58N#2
¿ ¿ h G¿ ø u} h w u h
b ø ¿ u } h ¿w u y h {z Ä h À ‚
,&-#.YíXì
ïRõ [÷ Mìô/êGïRõMíW÷ gõ [÷¢êGöP03@
ˆ ­ Ê ˆ • b Ê â y ÄÀ
{z h ¿ h
ˆ­ ™ ˆ•
b Ê âw Ä_ À ‚
,&-#.^;K58=8N/.L0JÑ65MLX0RBCNF—.:Ð8B87JU/;<.1.7J.;<.N?LA03@
b ‰p Ä ç b Ê ˆ Ä À ç b Ê ˆ Ä À BC:
b âw ˆ Ä _ Àh ‚
,&-#.1@U#@XS
.6F4L0JÐD0„L†…0J@ 58S6S
B8:n240JN/=LBK0RLX@A24=. #N/0RL0JB8N b b Ä Ž ‚
õ 4ï ÷
ñ ò&ô#õMíõGë<õ Gößì ¯÷ ò Dò nì¤ô ¯÷ 6÷ ^0J@&LX-/.N
b âw Ä Ž ˆ Ä _
hÀ
F#:BMÐD0324.62œL-#5GLÁ]ÃÅÁ 5GN#2Ä À à _ &Z
à¤N587RU/;<0JN/0JU/;ÒLX-/.`.7J.6S
L:XB8N24.N#@0RL†…œ0J@
ˆ b š ‚ % w ä8š ú h ; •
}
58N#2PL-/.T9#.:X;Y0.N/.6:=C…
h
_
b v wš ‚‚ Cú w | š ⠂ ø .6<›b š8š ‚ .=<T‚
ù
ù
ˆ
b
!
#"
s
p
n
n
p
p
%$
-
+
e
½ 0JN#S.~LX-/.`;<.
Ln5G7J7R03S1.7J.6S
L:XB8NE=C58@+03@@¾L:XB8N/=C7R…œ24.6=8.6N/.:n5MLX.62
l Á]ÃÅÁ m ‡x.`S65GNE:.g@†LX:03SWL&LB<LX-/.1L.6;<FV.6:X5GLU/:X.1Á]b ú Z
e
k
e
-
e
k
k
p
e
&
+
=
F
m
*)
('
'
&
k
k
k
,&-/.`9#.:X;Y0‡+5IÐC.~ÐC.6SWLXB8:n@&S5GNE—.T24.
LX.:X;Y0JN/.g2POQ:XB8;ÒL-/.
SB8N#240RL0JB8NV@
{z h ¿ h ­ ÄÀ b Ä
wMy ™
{z h ¿ h • ÊËÄ À b ÄÆ‚
wMy
½ 0JN#S.~LX-/.`NDU/; —.:~24.N#@0RL†…œ0J@
ˆ bŠø qCu s h ¿ Ì
}
LX-/.T@¾F#0RNEFVBCF/U/735MLX0RBCN2/.N#@0„LX0R.g@A5G:X.
¿
ˆ ­ b ø } u ­ h
¿
ˆ • b ø } u • h ‚
F
-
F
+
*)
&
+
&
-,
.
+
0/
,&-/.`@U#@XS
.F/L0JÐ?0RL†…
b âw ä t8u äGš ú • äGš ‚ % w äGš ú h ä l ‚ ø8ø ä8š ‚ ú • m h
š8š ù
~< @ š l .=<^m h
ƒ ; ; , h .=<
h
b ‚ t ä8š ú k }.6ƒ <; <~è @ v ; <~@h |
b ‚ t ä8š ú k } ä8š ‚ ø äCš ú • k
b š ‚ ä8š ú • } 03@&N/BM‡ @;K5G7J7@¾0JN#S.`B8N/7J…KL-#.`.7J.6SWLX:BCN#@&Ð8.6:…œS7RB?@¾.^LXBLX-/.
9#.:X;Y0@U/:O¢58S.1S65GNEV.`F—B8735G:X0JÑ.62;K5G=CN/.
LX0JS65G7J7R…CZ
$ %`* $&%T)+Y !#"#$&%(')+*
,&-/. ~5G;<0R7RLBCN/035GNEOQB8:5OQ:X..1.7J.6S
L:XB8NE0RNEL-#.`;<58=8N/.L03S #.732
Ò
b 03@&=80JÐ8.6ND…
š
‘ h
Ž b
wMy ÊA0 {z ™ $ ‚
BCN?ÐC.N/0J.N?L&U/N/0RLBGO
LX-/.`.N#.:X=8…<OQB8:AN#B8N T§0RN?LX.:n58SWLX0RN#=.67R.gSWL:XB8NV@&0J@ {z j ‡A-/.6:.
I
y
b
3
0
+
@
L
/
T
.
S
D
…
S
R
7
8
B
L
X
:
8
B
N
Q
O
:
.
?
/
U
.
#
N
S
8
…
Z
j ‘
$
LX-/.`.N#.:X=8…<OQB8:A0JN?L.6:X5CSWL0JN/=<.7J.6S
L:XB8N#@+03@ ‘ h _ Ž ‡A-/.:X.
@ Ž b l {z $ ‘ m f® Ì4LX-/.`;K5G=CN/.
LX0JS^7J.N/=8L-Z
LX-/.`7J.N/=8L-E0J!
BCN#@¾0324.6:+.67R.gSWLX:BCN#@
SB8N VN/.62PLB #Í " T§F/735GN/.CZ
2 ('*+ ) Z
@U/% $†.gSWLX.62PLBœ5YFV.6:F—.NV240JSU/735G:A;K5G=CN/.
LX0JS #.67J&
,&-/.1.60R=C.N/.6N/.:X=80J.6@&5G:X.^L-/.T2/0J@XS
:X.
LX-. , õMößð8õ ïRì Mìï ò
v š {z Ì b ú Ì Ì w ̂6‚‚W‚
b
š
ž . K™ w | j /
-/BDB?@¾0JN/=L-/.TÇ 5GN#2/58U=?5GU/=C.
b l ú Ì Í Ì ú m
LX-/.T@¾0JN/=C7R.1F#58:¾LX0JS7R. 58;<0R7RLBCN/0J58N03@
š J h ™ v #0A™ ‘ Í h K ‚
Ž b
|
wMy Ï
$
,&-/.1.60R=C.N4OQU/NVSWL0JB8NV@5G:X.
Ê 8 Ì
0 4a 3 0 ‘ •“RÏ8•1&˜ f 6h 5 7f v Í 9
b
‘
.
Ž |
Ö .21

‡A-/.6:.^LX-/.TS
.6NCLX.:AB8OL-#.`BC@XS
0J7R735MLXB8:X…K;YB8L0JB8NE0J@=80JÐ8.NED…
8 b Ê¿ 0 Žh ‚
BCN #N/.^LX-/.T@¾…4@¾L.6; 0JNE5<:X.6S
LX5GN#=8U/735G:&S
.67R7
æ>
/
+
;
?
Í
>
"
<
=
/
,
@
;
= 0
:
;
<
A~@¾0JN/=<F—.:X0RB42403S1VBCU/N#2/58:…œSB8N#2/0„LX0RBCN#@A‡+.^-V5IÐ8.
¿ 0 b w u= B 0 Ì 0 b ú Ì š Ì w ̂‚6‚
0
58N#2
b Ê w u= B0 Žh Ì úDC 8FEG= Ï ‚
0
,&-#.^NDU/;V.6:BGO5G7J7RBM‡+.62ÐM5G7JU/.6@&B8O 0 0¯Z .8ZL-#.T24.=C.N/.6:X5CS
…
B8O .g58Sn-Ç5GNV2/5GUE7R.6Ð8.67 03@
‰ s b = w HuÏ = h 0 b { ‘ b IK Ì
Ž
Ž
$JI
‡A-#.:X-. K Ž b { $ ‘ 03@&L-#M. L#U4NH ?U#58N?LU/;Z
,&-DU#@ êMöìnõ ?BO, õMößð8õ ïJì Mì
ï B#ì
íì ÷3ò ìóD&õ ¯ï êGö—ìT
ò ¤õ ¤ìî
êGí
ìn&õ B-P 8Nó Q #õMö 4ë õGö—ðî
êMí ìnõ ?Bò¯ôß÷ öKô#êMïRõGíW÷ 6õ [÷¢êGö#Z
\]-#.N‰ ¥ 0J@+LX-/.`NDU/; —.:BGO .67R.gSWLX:BCN#@&0RN58NE58:.g558N#2‰ s
LX-/.`NDU/; —.:AB8RO LVU4OH ?U#5GN?Ln5‡+.`24. VN/. B#ì @Âï ï ÷ ö ~îní&õ ¯÷¢êMöP5C@
v b]tV‚ â8ø Ž , ‚
‰
S b ‰ ¥
š šú k; • h |
s
, BYL:X.65GL+LX-/.T@F/0RN‡+.1N/BGLX.1L-#5GL
. T—.6.;K5GNS
BCU/F/7J0RN/=YLX.:X;
L-/.6:.`@-/B8U/732EV.1LX-/U
WVYXZXZ[\
]Kb
ä Òb Ê q Ä À ç
0RNEL-#-. 5G;<0J7„LXB8N/035GNZ .:X. q 0J@+LX-/.TÇ58N#24.1O¢5CSWLBC:A5GN#2
ÄÀ L-/. +B8-#:+;K58=8N/.LB8NZ
. Tß..;K58NPLX.:X; L-/.6:.T58:.^N/Bœ@F/0JN
0RN582#240„LX0RBCNPLXB<L-/U
24.F—.N#2/.N?LAL.6:;K@&0JNLX-/-. 58;<0R7RLBCN/0J58N N/B8LA.Ð8.6N0JNEL-/.
0RN?L.6:X5CSWLX0RN/=Y;K5GND…œ—B424…@…4@†LX.;Z
L-/.`F/:XB8#7R.6; S58N—.T@¾BC7RÐC.62E2403@¾:X.=?5G:n240RN#=TL-#.T@¾F/0JNZ ƒ L
7J5GL.:@¾LX58=8.g@x‡+.`S58N5C2/2PL-/.1LXBGLX58R7 T—..6;K5GNE.N/.6:=C…
ž VYXZXZ[\
] b q Ä À D^ ç ‚
8
#"
Ï
< BCN#@¾0324.6:&58N.
H4FV.6:0J;<.N?LA7R0 # .
Ï
?
>
Ê
™
™
™
ž
Ê
0
;
p
Ê
Ê
™
p
\Ë.`B8V@¾.6:ÐC.LX-#5ML
. ~5G7J7>:.g@¾03@†LX0RÐD0RL†…P24.6Ð8.7JB8FV@&F/7J5GL.g5GU#@&‡A0RL L-/{
ˆ Ï 0 b ‘ h Ì b š Ì w Ì â ̂‚6‚W‚
,&-/0J@ ?U#58N?L0JÑ65MLX0RBCNESB8N#2/0„LX0RBCN03@AB8—.…C.62‡A0„LX-.
HDL:X.;<.
58SSU/:n58S
…CZ à¤NEO¢5CSWL L-/.TSU/::X.N?L&à ½ @†Ln5GN#2/58:X2œOQB8:
:.g@¾03@†LX0RÐD0RL†…P24=. #N/.6@
w % š w ‚ % ú ‚
ˆÏ0 b
ù
žÏ
Ž ‘ h
y
š
šx™ l j m h
Ê Ž ‘ $ ™ ÏgÏ Ì
j
w
h
w
h
c
c
D
D
( E
( E
)
Ï6Ï b
Ï0 b
5ML&L-/.T@X5G;<.^L0J;<.1L-/.T2/0J58=8B8NV5G7ß:.g@¾03@¾L0JÐ?0RL†…œF/:n58S
L03S587R7J…
IÐ 58N/03@¾-/.g@Z
9#B8:&LX-/.`;<B8;<.N?LA‡x.T@U/F/F—BC@.^L-#5GLAL-/.`.67R.gSWLX:BCN#@&5G:X.
F—B8735G:X0JÑ.62Zà§OL-#.TS
U/:X:.6N?L&S65G:X:…D0JN/=.67R.gSWLX:BCN#X@ #7J7U/F.
H/58S
L7J…
Ç58N#2/5GUE7J.Ð8.67J@ 0RLS5GNE—.T@¾-/BM‡ANL-V5ML ˆ Ï 0 b { ‘ h 5GN#2
ˆ ÏgÏ b ú Z
,&-#.^F#7J5GL.658U#@AS58NV.`.HDF#7J580RN/.g2PD…œN#BGL0JN/=YL-V5ML
0RN5GNE0324.6587>F/U/:X. w L LX-/.T24.6N#@¾0RL†…œB8O@¾LX5GL.6@&03@5
@¾.6:0J.6@+BGO T§FV.g5 # @A@¾.6F#5G:n5MLX.62P?… {z j Z
à¤N5Y:X.6587—0J;<F/U/:X.T@¾…4@¾L.6; L-/. T§F—.65 # @A58:.`@F/:.g5825GN#2
V.L†‡x.6.NL-/.TÇ 5GN#2/58U7J.ÐC.73@+L-/.6:.T58:.^7JBDS65G7J0RÑ6.62E@†Ln5MLX.6@6Z
)
,&-/b .`S B8N#Ì 24UVSW L0JÐDb 0„L†ˆ … ‚ 85 J7 N#5C2P@@L03S-/5G.`7J7J:X…<.6@L0J-/@¾.TL0JÐD240„03L†5G… =CB8ˆ N#5G58:X7>.15G2/N#.2N#N/.g582E7R7 ?…
SB8N#24UVSWL0JÐD0„LX0R.g@A5G:X.
‡A-/.6:. 0J@AL-/.`:X.735MH/5MLX0RBCNœLX0R;<.8ZÆà¤NF#58:¾LX0JSU/735G:
ˆÏ0 b Ê Ž‘$‚
LHDF—.:X0J;Y.6N?LX5G7J7J…<L-/.`:X.6@0J@¾L0JÐD0„LX0R.g@&V.6-#5IÐ8.17J0 # .
F
E
i l l e d
E
E
m
p
t y
E
,&-#.M~5G7J7S
BCN#24U#S
L0JÐD0„L†…PS65GN—.`‡A:0RL¾LX.NE0RNEL-#.1OQB8:X;
Ž‘ ™ 0Ì
Ï0 b Ê $ Ï
F
85 :.`@;<587R7>0JN?L.6=8.:n@ l Õ Ô šCš m
Z
03@A5GN ê6ðCð10JNCLX.=C.:gZ
,&-#0J@&—.-#5IÐD0JB8U/:[email protected]@+LX-/. íõ [÷¢êGö—õGï
#õMö 4ëõMï ï
ì? l 9 L+m&58@&BCF/FVB?@¾.g2œLXBYL-/.`F/:X.ÐD0JB8U#@
ö¤ì Cìí
#õGö4ë õGï ï ?ì l à LxmWZ
.=C58:X2/0RN/=L-#.`à L ‡x.1N/B8L.1LX-#5ML
L-/.`F/735MLX.658U#@AS
BC::X.6@FVBCN#2KLXBYOQU/7R7 Ç5GNV2/5GUE7R.6Ð8.67J@ L-/.TÇ 5GN#2/58U7J.ÐC.73@A5G:X.~.6N/.:X=8.L03S587R7J…<O¢5G:AOQ:XB8; .658SnBGL-#.:58@ASB8;<F#58:.g2KLB<L†…DF/03S587>.7J.6S
L:XB8N T§.7J.6S
L:XB8N
0RN?L.6:X5CSWLX0RBCNP.N#.:X=80J.6@ l 5GL7R.g58@¾LA‡A-/.N S Õ Ô m
Z
L-/.`;U4LU#587>.7J.6S
L:XB8N/03S^0RN?L.6:X5CSWLX0RBCN#@&F/735I…œF/:n58SWLX0JS65G7J7R…KN#B
:BC7R.CZ
\]-#0R7J.1L-/03@@0RN#=87J.^FV5G:L03S
7J.^F#0JS
LU/:X.`0J@A@U œS
0J.N?L0JNEL-/.`à L
0RLS58N/N/B8L&.H4F/7J580RNL-#.T9 L ‡A-/.6:.
L-/.TÇ 5GN#2/58U7J.ÐC.73@A5G:X.~BCN/7J…œF#5G:L035G7J7J… #7J7R.g2 @BLX-#5ML
L-/.6:.103@A:BDBC; OQB8:&L-#. B8U/7JB8;0JN?L:n57J.ÐC.7>0JN?L.:n58S
L0JB8NZ
à§LALXU/:XN#@&B8U4LALX-#5MLALX-/.TS
BC::X.735MLX0RBCN#@+24U/.1LBYLX-/.`.7J.6S
L:XB8N
0JN?L.6:X5CSWL0JB8NE5G:X.1.6@X@¾.6NCLX0J587>0RNELX-/.T9 LZ
µDýV² 3»3³ „¼1¶ —± D´ 9#B8:5Y‡A-/0J7R.`‡+.1‡xBC: # 0JNEL-/.T@…D;<;Y.L:X0JS^=?5GU/=C.
Òb š l Ê " Ì Í Ì ú m
w
åBGL0JN/=YL-V5ML
58N#20RNEL-#.TS
…D7R0JN#24:X03S5G7SBDB8:n240RNV5ML.1@…D@¾L.6;Z,&-/.T@¾0JN/=C7R.
FV5G:L03S
7JM. ~5G;<0J7„LXB8N/035GNE0J@N/BM‡
bS ‰‰ ¥ b w uH Žh Ž Ž Ì
s
h š
š y j h h ‚
24.gS
:X.65C@¾0JN/=Y;<58=8N/.L03S#.732S
B8:X:X.6@FVBCN#2/@ÂLBK0JN#S
:X.65C@¾0JN/= #7R7J0JN/=
db
™ w j ~™ %
G
w
y
O¢5CSWLBC: 0¯Z .CZ24.6S:.g58@0RN#= LX-/.`;K5G=8N#.
L03S #.67J20J@. ?U/0JÐI587R.6N?L+LXB
0JN#S
:X.65C@¾0JN/=L-/.`NDU/;V.6:ABGO.7J.6S
L:XB8N#@6Z
à¤N#S:.g58@0RN#= LX-/.`;K5G=8N#.
L03S#.732 l 0¯Z .CZÆ:.g24U#S0RN/=YLX-/.`.7J.6S
L:XB8N ,&-#. ½ Sn-/: B? 240JN/=8.6:+. ?U#5MLX0RBCNPLn5 # .g@+L-/.1OQBC:;
h
24.6N#@0„L†…/mÂOQU/:L-/.6:;<B8:X.1B8N/. #NV2/@A:X.6@0J@¾L0JÐD0„LX0R.g@+LB<V.6-#5IÐ8.17J0 # .
Ê wM{zy G š v ! | š h h ! h I
Ö
Ê #wš " {z j ! ™ v %š y j h h Ê ž | ! b ú ‚
Ö
à§Ln@A@¾BC7RU/L0JB8N#@AS65GNV.`‡A:X0RL¾L.6NE5C@
ã I f® ‘ • i •% f è 5 f7
! i l MÌ mÂb G
w Hu Žh w i y ã
.$
Ö

v Îi Î = Îi Î v h ‚
w Žh |
Ž |
.
,&-#.1SB8:X:.g@¾F—B8NV240RN#=.6N/.:X=80J.6@&5G:X.
š
ž/.&$ i b w l w œ™ Ó y Ó ™]š Ê y m {z j ‚
,&-/.1F/735MLX.658U#@+0RNL-/.-~5G7J7>:.g@¾03@¾L0JÐ?0RL†…œ5GNV2œLX-/.1;Y0JN/0J;K50JNL-/.
7JB8N/=C0„LXU#240JN#5G7>:X.6@03@†LX0RÐD0RL†…PS
BC::X.6@FVBCN#2KLXB #7R7J0JN/=<OQ:X5CSWLX0RBCN#@
y ' úm
à¤NF#58:¾LX0JSU/735G: 0JNEL-/.`7JBM‡+.6@¾L&Ç 5GN#2/58U7J.ÐC.7 l b ú Ì (
X
L
/
`
.
&
‡
I
5
8
Ð
~
.
Q
O
/
U
#
N
W
S
X
L
R
0
C
B
#
N
@
8
5
:
.
Ì
S b
š I f® v i ‘ •Î çgÎ f è 5 f7 Ì
! i l mb G
‡A-/.6:.
h
w
w
u Ž i y ã æŽ |
H
æ

‡A-/.6:. 58S6S
B8:n240JN/=LBYL-/.>1U#VBYOQB8:X; U#7J5 L-/.TSB8N?L:X0R#U4L0JB8N
OQ:XB8; 5Y7JB4S5G7J0JÑ.62E@¾LX5MLX.PÓ LB Ï 0 0J@
Ï 0 b l ž m ‘ $ ‚
.:X. l m+03@+L-/.T9#.:X;Y0 240J@¾L:X0J/U4L0JB8NEOQU/NVSWL0JB8NZ
\]-/.6NEL-/ž .`NDU/;V.6:ABGO.7J.6SWLX:BCN#@&Sn-#5GN#=8.6@+‡+.`B8#@.:XÐ8. l 5GL
Á›b ú mxL-#5GL
5C@&7RBCN/=K58@xL-#.T9/.:X;<07J.Ð8.67>7R0J.6@‡A0„LX-/0RNELX-/.`7RB4S65G7J0RÑ6.62
@¾LX5GL.g@ Ï 0 :.6;K5G0JN#@&S
B8NV@†Ln5GN?L6Z
0ROÆ5G7J7@†Ln5ML.g@&V.67RBM‡ L-#.19#.:X;<07R.6Ð8.675G:X.^7JB4S587R0JÑ.g2 L-/.
LX.:X;K@&0RN Ï 0 S5GNVS
.7>.H/58SWLX7R…5GN#2 Ï 0 b ú Z
: LLB<.HD03@¾LAL-/.6:.1; UV@†L—.`.
HDL.6N#24.g2E@¾LX5GL.g@&0RN
OQBC
Ç 5GN#2#5GUE7R.6Ð8.73@6Z
ƒ @A5TOQU/NVSWL0JB8NB8OL-#.12/.N#@0„L†…œL-/.`S
BCN#24U#S
L0JÐD0„LX0R.g@&V.6-#5IÐ8.^7R0 # .
)
58N#2
D
( E
)
e
2
h
x
y
n
0
e C
- s
B
s
x
x
0
2
p
l
2
0
n
0
1
‡A-/.6:.1‡+.1-#5IÐ8.^‡A:0RL¾LX.N
b ‘ • b Í Ê "" ‚
æ
à§L03@&.65C@¾…KLXBK@¾-/BM‡ LX-#5MLALX-/.-?U#5GN?LXU/;ÒNDU/; —.: y S5GNELn5 # .
LX-/.`ÐM5G7JU/.6@
y b ú Ì š Ì6‚‚‚̉ s Ê š Ì
‡A-/.6:.
‰ s b w Hu h
Ž
03@+L-/.T2/.=8.6N/.:n58S…KBGO5YÇ 5GN#2#5GUE7R.6Ð8.7¯Zà¤NEL-/.`7JBM‡x.g@†LAÇ58N#2/58U
7J.ÐC.7ßL-#.`‡+5IÐC.OQU/NVSWL0JB8NV@5G:X.LX-/.:X.
OQBC:.1B8OL-#.1OQB8:X;
š Ì Ì h Ì6‚‚6‚Ì • k L0J;<.6@ 158U#@X@¾035GN>‚
æ æ
æ
,&-/.1=C:.g5MLA0J2/.65YBGOÆÇ58U/=8-/7J0JN‡&58@xLBKF#:BCFVB?@¾.~L-/. ?58@¾L:XBM‡
L†…DF—.~OQU#N#SWLX0RBCN
i b a l æ Ê æ aGm i ‘ •Î ç
Î f è 5 f7

k
Ô
5C@+L-/.`;K5GND…œ—B424…œ=C:BCU/N#2E@†Ln5ML.1‡&5IÐ8.~OQU/N#S
L0JB8NZÂ, B<=8.L+LX-/.
9#.:X;Y0@¾LX5GL03@†LX0JS6@ y ; UV@†L—.`B42/2>Z
Ç 5GU/=C-/7R0JNÈ @&‡+5IÐC.OQU#N#SWLX0RBCNE-V58@A@B8;<.1:.6;<58: # 58/7R.^F/:XB8F—.:L0J.6@
0JNEL-/.1LX-/.:X;<B424…DN#5G;<03S5G7ß7J0R;<0RLL-#.`F#5G:n5G;<.
LX.: y 03@
:X.735MLX.62PLBYL-#C. #7R7J0JN/=<OQ:X5CSWLX0RB S 58@
y b š‚
!
L-/.UT—.6.;K5GNS
BCU/F/7J0RN#= q Ä À D^ ç LX.N#2/@ALB<FVBC7J58:0JÑ.^LX-/.
@¾…4@¾L.; 587„LX-/B8U/=C-PLX-/.TÇ58N#24. q T[O¢5CSWLBC:&0J@A:n5MLX-/.:A@;K5G7J7
l 0JN 15 ƒ @ q Þ ú ‚ m
Z
\Ë.TS
BCN#S
7JU#24.^LX-#5MLALX-/.`=8:XB8U/NV2@¾LX5GL.`5ML S b š 03@&F—B8735G:X0RÑ6.62>Z
!#"$%&(')!"+*,-'./
\Ë.`‡A0J7R7‡+B8: # 0JNE:X.6S
LX58N/=8U/735G:+=8.6B8;<.
LX:…P‡A0„LX-EF—.:X0JBD2/0JS65G7
—B8U#N#2/5G:X…PSB8N#240RL0JB8NV@Z
"
>
=
:
1
1 1
1
1
1
1
1 1
1
1 1
1
1 1
1
1
1
1
1 1
1
;
1
1
1
0
1
1
1 1
1
S
R0 LS58N—.`;K5GF/F—.62LXB<5KSn-V5G:X=8.N#.U4LX:X587>L†‡xB
2/0R;<.NV@¾0JB8N#587S
7358@X@¾03S587ßF/7J5C@¾;K5 ‡A-/0JSn-E;K5 .6@&0RLFVB?@@0R#7R. U#:/5G;<0J7„LXB8N/035GNE03@
LXB<U#@¾.TS7J5C@@03S5G7>@¾LX5GL03@†LX0JS65G7>;<.6Sn-#58N/03S@+LB<# .6ÐI587RUV5ML.1.CZ =VZ
b Ž ™ X32 X ™ X3254 [ ™ X3276 ™ 68256 Ì
LX-/.`.N#.:X=8…8Z
A‡ -#.:X.
@;K5G7J7@¾…4@¾L.6;<@ l Õ Ô š w F#58:¾LX0JS7R.g@Xm+S58N—.T@B87JÐ8.62P.
H/58S
L7J…8Z
‡x.`@U/F/F—[email protected]/BC;<B8=8.6N/B8UV@xF—BC@0RL0JÐ8.`#5CS # =C:BCU/N#2 BC;<F#5G:X0J@0JB8N#@x‡A0„LX- Ç58U/=8-/7J0JNÈ @+‡&5IÐ8.~OQU/N#S
L0JB8N @-/BM‡
LX-#5ML0RL03@&F/:X5CSWLX0JS65G7J7R…KLX-/.`.
H/5CSWL@¾BC7RU/L0JB8NEBGOLX-/.`;K5GND…
Ž 0J@+LX-/.T@¾0JN/=C7R.1F#58:¾LX0JS7R.58;<0R7RLBCN/0J58N —B424…PF#:BC/7R.6;
X32 X 03@&L-#. B8U/7JB8;P0JNCLX.:n58S
L0JB8NEV.L†‡x.6.N5GN
.7J.6SWLX:BCNE58N#2E5G7J7>BGL-#.:A.7J.6S
L:XB8N#@A58N#2L-/.60R:A0J;K5G=C.6@
6 Æ
Y
@¾U/;<;<.62EBMÐC.:A5G7J7>.7J.6S
L:XB8N#@ \Ë.TS
BCN#@¾0324.6:xLX-/C. #7J7R0JN/=<OQ:n58S
L0JB8N S b š 0¯Z .8ZL-#.`7RBM‡+.6@¾L
X3254 [ 03@+L-/.`0JN?L.:n58S
L0JB8NEV.L†‡x.6.N5GNE.7J.6S
L:XB8N5GN#20RLX@
Ç 5GN#2/58U7J.ÐC.7>03@+OQU/7J7R…BDS6S
U/F#0R.g2>ZÆ\Ù.1LXU/:XNEBCNPLX-/.
0R;K5G=C.6@ .67R.gSWL:XB8N T¯.67R.gSWL:XB8NP0RN?L.6:X5CSWLX0RBCNE58N#2PN#BGL.1LX-#5ML
X3256 0J@&LX-/.`.7J.6S
L:XB8N T§#5CS # =C:BCU/N#2<0JN?L.:n58S
L0JB8N L†…DF/03S587R7J…KLX-/.TÇ58N#2/5GUE7J.Ð8.67@¾.6F#5G:n5MLX0RBCN {z j 03@
l ; U#Sn-—m+7J58:=C.:xL-#58NLXh -/ .TSn-#58:X5CSWL.6:03@¾L03S BCU/7RBC; 
6256 03@&L-/.`V58S # =8:XB8U/NV
2 T¯V58S # =8:XB8U/NV20JN?L.6:X5CSWL0JB8NZ
0JN?L.6:X5CSWL0JB8N.N/.6:=C… ‘ _ Ž Z
,&-#-. Tß..;K58NESB8U/F/7J0JN/=K0J@+LX:.g5MLX.62E5MO L.6:‡&5G:n2/@6Z
Ë
\
.
0ROL-/.`.67R.gSWL:XB8NV@x:X.;K580RNEFVBC7J58:0JÑ.g2œLX-/.`0JNCLX.:n58S
L0JB8N
S65GN/N#BGL24B<; U#Sn- 5G7J7>.N/.6:=C.
L03S587R7J…<O¢5IÐ8BC:X58/7J.^@¾LX5GL.6@A58:. š Z&:.g@†LX:03SWL&LBYLX-/.`7RBM‡+.6@¾LÇ58N#2/5GUE7J.Ð8.67[Z
587R:X.65C24…KB4SSU/F/0J.62>Z
w Z&‡xBC: # 0JNBDS6S
U/FV5ML0JB8NE:X.F/:[email protected]?LX5GL0JB8NZ,&-/.6:.
½ B ‡x.17J.
L.67R.gSWL:XB8NV@+LDB L#0JFLX-/.0J:@F/0JN#@Z BM‡x.6Ð8.6: b 9 =< C
5
S
S
8
B
n
:
4
2
R
0
#
N
=
X
L
B
/
U
#
N
>
2
È
A
@
X
:
/
U
J
7
~
.
X
L
/
`
.
X
:
.
/
F
/
U
3
7
@
R
0
C
Ð
^
.
J
0
?
N
L
6
.
X
:
C
5
W
S
L
J
0
8
B
E
N
3
0
@
;:
LX-/.T@;<587R7J.:+LX-/.`7J58:=C.:+L-#.1LBGLn5G7@F/0JN ^ Z
™ 9
® f ¡ 3> (< ® ® (< f f 3> > Ì
¡ ¡
à¤NL-#.158#@.N#S.^B8OLX-/. T—..6;<58NESB8U/F#7R0JN/=<5G7J7>FVB?@@0R#7R. ^>ç
k k h h
@¾LX5GL.g@A5G:X.^24.6=8.6N/.:n5MLX.8Z
è è
} }
1
1
1
1 1
1
0
1
1
1 1
1
0
0 0
0
1
1
Ï
1
1
1
1
1
! 5*67847
9 6 2 3
2 34
:;
"!
‡A-#.:X.^BCFV.6:X5GLBC:X@ (< l m&S
:X.65MLX. l 24.g@†LX:BM…/m+5GN
.67R.gSWLX:BCN‡A0RL-@F/0RN 0RN5K@0RN/=C7R.1F#58:¾LX0JS7R.`@¾LX5GL. Z
â ZA#H‰ s LX-/.`NDU/; —.:BGO LVU4HN?U#58NCLn5 l š ú m
ZÆ,&-/0J@&03@
587J@BL-/.`NDU/;V.6:BGO5G7J7RBM‡+.62@¾0JN/=87J.1F#5GÞ :L03S
7J.`@†Ln5MLX.6@6Z
tVZA#H‰ ¥ LX-/.`NDU/; —.:BGO .67R.gSWLX:BCN#@Z ƒ LAOQU/7J7Ç 5GN#2/58U7J.ÐC.7
l S b š mx‰ ¥ b›‰ s Z
AZ #HKL-/.1F—B8735G:X0RÑg5ML0JB8N ^>ç 5GN#2œL-/.^LXBGLX587ß;YBC;<.N?LU/;d@¾0JN#S
.
LX-/.…E5G:X.~F#:.g@¾.6:ÐC.62œD… BCU/7JB8; E0JNCLX.:n58S
L0JB8NZ
ø ZxOQBC:;ÒL-/.`#5C@¾03@&D…PS
BCN#@¾L:XU#SWLX0RN/=K587R7>F—BC@X@¾0J/7J.
] n)! M*D! !#"#$&%(')+*
N#B8N T§0RN?LX.:n58SWLX0RN#=T@†Ln5ML.g@Â@X5MLX0J@¾OQ…D0RN/= L-/.^5G—BMÐ8.SB8N#240RL0JB8NV@Z ,&-#^. :X.6@¾L.N#.:X=8…KBGOÆ5GNE.7J.6S
L:XB8NE0J@
Z+:X.F#:.g@¾.6NCL+L-#-. 5G;<0J7„LXB8N/035GN58@A5<;K5GL:X0„HP0JNL-/.`#5C@¾03@
y $ h b ú ‚ šCš # .6<
ù SB8N#@¾L:XU#S
L.62E5G—BMÐ8.CZ
58N#2PL -/.`:X.735MLX0RÐD03@†LX0JS~LB8LX587>.N/.6:=C…
%#Z&2/0J58=8B8NV5G7J0RÑ6.LX-/.`;K5ML:X0RHßZ ƒ @5Y:.g@¾U/7RLA‡x.1-#5IÐC.^L-/.
.6N/.:X=8…œ@F—.6SWLX:U#;d5GNV2SB8:X:.g@¾F—B8N#2/0RN/=Y.0J=8.6NDÐ8.6S
LBC:X@6Z
_ b
l y $ h m h ™›l $ m h
ZxOQBC:A.65CSn-.60R=C.N#@¾LX5GL
. #N#20RLX@+LB8LX587@¾F#0RN ^ Z ½ 0JN#S
.
b y $ h ™ wG y h ™]ä6ää ‚
Ø ¹Ì ^ ڗb ú ‡x. # N/BM‡›L-#5GLAL-/.g@¾.`.60R=C.N#@¾LX5GL.6@&58:.
.60R=C.N#@¾LX5GL.g@xB8O@F/0JN LXB?BVZ
.N#BGL.`D…
¿ b y {z $ b w ‚ äGš ú k h ; • k
\Ë^ .`ç N/BM‡ -V5IÐ8.~L-/[email protected]:U/; ž Ž Ì ž k Ì ž h ̂‚6‚4OQB8:&LX-/.
LX-/. B8;<F4LXB8NE‡+5IÐC.~ÐC.6S
LB8:&B8O58N.67R.gSWL:XB8N5GNV2D…
0JN?L.:n58S
L0JN/=Y;<58ND…œF#5G:L03S
7J.`@¾…4@¾L.6;EZ, BKS587JSU/7J5GL.^L-#.
F—B8735G:X0RÑg5MLX0RBCNP‡+.^N#BGL.1LX-#5ML
wu
b ¿ b w ‚ t â äGš ú • k h ;
: ?U#58NCLXU/;
LX-/.`.N#.:X=80J.6@ ž 58:.158@X@¾B4S0J5GL.62‡A0RL-BGLX-/./
NDU/;V.6:X@&7J0 # .^L-/.1LXBGLn5G7@F/0RN ^ 58N#2E0„Ln@ T¤S
BC;<FVBCN/.N?L 0RLX@ B8;<F4LBCN‡&5IÐ8.^7J.N/=8L-Z
æ
Z
½ 0RN#S. b {z ¿ ‡+.`-#5IÐ8.
^ ç
@0JN#S
.^L-#.:X.T5G:X.~N/BK@F/0JN2/.F—.N#24.6N?LAL.:X; 0JNEL-/.
_ a b $ { z ¿ h ™ ¿ h ‚
~5G;<0J7„LXB8N/035GN5G7J7@†Ln5MLX.6@A‡A0RL
- ?U#5GN?LXU/;ÒNDU/; —.:n@
l ž Ì ^ Ì ^ ç b Ê ^ m l ž Ì ^ Ì ^ ç b Ê ^ ™]š m ‚6‚‚ Y.6:0JB42403S—B8U/NV2/5G:X…PS
BCN#240RL0JB8N#@A58:.^LX-/.T@58;<.15C@&0RNL-#.`N/B8N
l ž Ì ^ Ì ^ ç b ™ ^ m&58:.124.6=8.N#.:n5ML.CZ ½ B LX-/.
X
:
.735MLX0RÐD03@†LX0JS1S658@.~0¯Z .CZ
.H4FV.gSWLX5GL0JB8NEÐM5G7JU/.`BGO ^>ç ‡+B8U/732P—. ú Z
b w = u l Ï Ì 0 Ì ç mWÌ
LX-/.UT—.6.;K5GNE0RN?LX.:n58SWLX0RBCNP;U#@†L—.1LU#:N/.g2EB8NZÆ,&-/.
.6N/.:X=80J.6@+‡A0J7R7 @¾-/0RO L7J0 # .
@B<‡x.1-#5IÐC.
_ b ž Ê q Ä À D^ ç ‚
¿
ˆ b â u } h ‚
à§LxLU/:XN#@BCU4LÂLX-#5ML [email protected]—.6S
L.g2 L-/.LBGLn5G7—@¾F/0JNœ0JNKL-#.=8:XB8U#N#2
@¾LX5GL.10J@ ^ Ž b]‰ ¥ Gw l @U/F/F—BC@0RN#=œ‰ ¥ LB<V.`.6Ð8.6NVmWZ U/.1LB<LX-/. \]-#.N ¿ b l â u h ˆ m k 03@&BGOL-#.`B8:n24.:¿ L-/.`:X.735MLX0RÐD03@†LX0JS
SB8:X:.gSWLX0RBCN#@Â;U#@¾LV.1XLn} 5 # .6N0JN?LBK58S6S
BCU/N?L6Z,&-/.
T—.6.;K5GNS
BCU/F/7J0RN#=LX-/.`=8:XB8U#N#2P@¾LX5GL.`03@&FVBC7J58:0JÑ.g25GL&Á b ú Z
SB8:X:.g@¾F—B8NV240RN#=24.6N#@¾0RL†…P03@
,&-/.`@F/0JN#@ABGO L-/.`.H/S
0RL.62@¾LX5GL.6@ -/BM‡+.ÐC.: -V5IÐ8.15G7J7ßL-/.
F—BC@X@¾0J/7J.1ÐI587RU#.6@ ú Ì š Ì6‚‚‚̉ ¥ 8w Z ½ B ‡x.1.
H4F—.6S
LAL-/.
¿ b ‚% ú š
F—B8735G:X0RÑg5MLX0RBCNœLBK24.gS
:X.65C@¾.^‡A0„LX-0RNVS
:X.658@0JN/= LX.;<F—.:n5MLU#:.CZ
*ˆ b
u}h
â
,&-/.`24.6FV.6N#24.6N#S
.`BCNLX.;<F—.:n5MLU#:.103@&.ÐM5G7JU#5MLX.62E0JNLX-/.
ù äCš } ;
ú " 24.N#@0RL†…PBGO;<.
} LX587R7J03S1.7J.6SWLX:BCN=?58@
S65GN/BCN/0JS65G7ß.NV@¾.6; /7J.`58@
Þ š
\Ë.`-#5IÐC.^58N 4ï ¯íõGíì
ïJõ ¯÷ 6÷3ò ¯÷ YìïR?ì [íêGö ?õIò+‡A-/.N ¿ ¿ BC:
b š 9 ^ ç ‘ • “ ¯• W– ÜßÀ ˜ aWÜßÝ Ì
^ ç
SB8:X:.g@¾F—B8NV240RN#=87J… ˆ ˆ Z

Ç.
LU#@ASB8N#@0324.8: nêMïJð^:.67J5GL0JÐ?03@¾L03S~;K5GL.:X035G7 0[Z .8ZÆ7J.
LU#@
‡A-/.6:. 03@&L-#.1S65GN/BCN/03S5G7>FV5G:L0RL0JB8N@¾U/;
@U/F/F—[email protected]Á]à Á Z
,&-#.~LXBGLn5G7.6N/.:X=8…K03@
ß
Ü
À
W
a
ß
Ü
Ý
]b 9 ‘ •“ ¯• n–
˜ ‚
a ¿A¿ h {z ¿ h ¿ h

Ž
b
‰
x
_
b
‰
z
Ÿ
a $ ¿&¿ h ™ Ì

G
5
L
b
ž
S
š
^>ç
ŸŽ 
#%$"&('*)(+-,/.10
<
1=
>
)
'
?
>
@
'
)
BA
A
(C
>
'
(C
)
‡A-/.6:.
a a
h
Ž
_z b y $ Ÿ  a
ŸŽ
b y $h ™ y $h
€
ÍÍ h šx™ Í h
 a Í Í h
 a  a ÍÍ h € šx™ Í h Ê š
ŸŽ   a a
h
Ÿ Ž   ÍÍ
03@+L-/.T5IÐC.:n5G=C..7J.6S
L:XB8N/03S^.N/.6:=C…8Z
ƒ LALX-/.`N/B8NE:X.735ML0JÐD0J@¾L03S^7R0J;<0„L‡+.1-#5IÐ8.
a a
k
h
Ž
y $ J šx™ Ÿ  a ÍÍ ah Ø h Í h ™]ä6ää Ú K
_z
Þ
Ž   ÍÍ h
Ÿ
h
b y $ h J šx™ â ú v ¿¿ | ™]ä6ää K Ì
š
OQ:XB8;҇A-#0JSn-EB8U/:A.g5G:X7R0J.:&:X.6@U/7RLX@AS58NV.T24.6:0JÐ8.g2 F/:XBMÐD0J24.g2
LX-#5MLALX-/.`:.g@†LA.6N/.:X=8…KB8O.67R.gSWL:XB8NV@x03@&Ln5 # .6N0JN?LBK58S6S
BCU/N?L6Z
ƒ LALX-/.`U/7RL:n5G:X.735ML0JÐD0J@¾L03S~7R0J;<0„L~¿ ¿ ‡x.1=C.
L
a a
_z y $ h Ÿ Ž a  a  ÍÍ } b tâ $ {z ¿ ‚
h
Þ
Ÿ Ž   ÍÍ
,&-DU#@+LX-/.`.N/.6:=C…œ24.NV@¾0RL†…P03@
žp b tâ l â u h m k $ { z ˆ è
} X}
58N#2œLX-/.`F/:X.6@X@¾U#:.
v
b Ê žp | 5GL+LX-/. 4ï ¯íõMíXì
ïRõ [÷ g÷3ò [÷ ï ÷ ëY÷ b ⠚ žp b t š l â u h m k $ { z ˆ è ‚
X} X}
ß»J¶n±P
· µ?´ à¤N5<F/:XB8F—.:X7R…<OQU/NVSWL0JB8N#0RN/=œ@¾LX58:&L-/.`.6N/.:X=8…K:X.7J.65C@¾.g2P0JN
NDU#S7R.g5G:&:.g58S
L0JB8N#@ l ;K580RN/7J… w .Im&5GN#2L-#.TS
B87J735GF#@0RN#=
=C:X5IÐD0RLX5MLX0RBCN#5G7VOQB8:nS
.`58:.^0RN#587J58N#S
.CZ\]-/.NEL-#.`N?UVS
7J.65G:&OQU#.7
03@AS
BC;<@U/;<.62PL-#.T@†Ln5G:LS
B87J735GF#@.6@6Z à§OL-#.`;<5C@@&B8OLX-/.T@†Ln5G:A03@
735G:X=8.A.6N/.BCU/=8-œ587R7—;K5ML.6:035G7V‡A0R7J7—V.gS
B8;<.0JB8N#0RÑ6.62>Z .F—.N#240JN/=
BCNPLX-/.`;K58@X@&BGOLX-/.T@¾LX5G:&LX-/C. #N#587@¾LX5MLX.`S5GNE—.1OQB8:A.
H/58;YF#7R.
B4÷ §ìYð õGíQî 0ROL-/.`F/:X.6@X@U/:.^BGO L-/.T2/.=8.6N/.:n5MLX.62
.67R.gSWLX:BCN/0JS^F/7358@;K5 F#:BC-/0R#0„Ln@&OQU/:L-/.6:S
B8;<F/:X.6@X@0RBCNZ
ößì ¯íêGö
ò ¤õMí+0RO LX-/.`.7J.6S
L:XB8N/03S^F/:.g@@U/:X.~03@AN/B8LA.N/BCU/=8LXBKS
B8;<F—.N#@X5MLX.^L-/.`=C:X5IÐD0RLX5MLX0RBCN#5G7VOQB8:nS
.CZ,&-/.1;K5ML¾LX.:
SB8;<F/:X.6@X@¾.g@xOQU/:¾LX-/.:&LXBKN/.U/L:XB8N#@A58N#2œLX-/.0J:24.6=8.6N/.:n58S…
F#:.g@@U/:X.~F/:XB8-#0R/0RLX@+OQU#:¾LX-/.:SB87J7J58F#@.8Z
,x…DF/0JS65G7ßF/:XB8F—.:L0J.6@&B8O5Y‡A-/0RL.T24‡&5G:O
ú ;Z
LX-/.T24035G;<.
LX.:AB8OL-#.T@†Ln5G: w Þ š è #
ú Z
LX-/.1LB8LX587>N?U#; —.:ABGONDU#S
7J.0‰
Þ š ú Ž = ‡A-/.6:.
LX-/.`;K58@X@
Þ š ú š Ž } # =<# 0J@AÞ L-/.`;K58@X@&BGO L-/.T@U/NZ
Ëb š ‚ % ä8
}
C
(C
C
(C
(C
C
L-/.`;K58@[email protected]#@¾0RL†… ˆ i š ú k Ž # =Æ; • 03@5G—B8U/L š ú " L-#.
24.N#@0RL†…œBGOL-/.T@U/NEB8:AÞ B8O LX-/.`.658:¾LX-Z }
L-/.`NDU/;V.6:24.N#@0RL†…PBGO.7J.6S
L:XB8N#@ ˆ
š ú " ; • Z,&-/.6N
¿ ¿ @BLX-/.`.7J.6S
L:XB8NE=C5C@x03@&B8N#7R…Þ ;YB4} 24.6:X5GL} .67R…
:.67J5GÞ L0JÐ?03@¾L03SGZà¤N0RN/N#.:AF#58:¾Ln@+L-/.`=?58@&S58NE—.`; UVSn24.N#@.:58N#2PL-DU#@AU/7RL:n5G:X.735MLX0RÐD03@†LX0JS8Z
ú hXh YÆ5 š ú k 5GL;Z
L-/.`F/:X.6@X@U/:. Þ š
Þ
L
/
1
.
X
L
.
<
;
V
F
6
.
X
:
G
5
L
/
U
X
:
1
.
R
0
N
J
0
/
N
/
N
6
.
A
:
F#5G:LX@&Á š ú > Á &Z
½ 0RNVS
.1L-#.T9/.:X;<0ßL.6;YF—.:n5MLXU/:X.^03@AÁ Þ š ú k Ž Þ> Á ‡+. -/BM‡x.6Ð8.6: -#5IÐ8.`5<S
BC7J2.7J.6S
L:XB8NE=C5C@Z Þ
Ç.
L l Gm+V.1LX-/.`F/:X.6@X@¾U#:.`5ML&LX-/.T2403@†Ln5GN#S. OQ:XB8; LX-/.TS
.6NCLX.:
B8OLX-/.T@†Ln5G: q l Gm+L-/.TSB8:X:.g@¾F—B8NV240RN#= =8:n5IÐD0„Ln5MLX0RBCN#5G7
5CSS.7J.:n5ML0JB8NE5GN#2 ˆ i l Mm&L-/.T24.6N#@0„L†…CZ
A
p
p
+
d
A
p
r +
A
( p
(C
C
&
&
&
+
d
p
) A
d
r
r
p
r
A
m
d
r
g
,&-#.1SB8N#2/0„LX0RBCNOQBC:&L-/.`V5G735GN#S.^B8O -D…424:XBC@¾LX5MLX0JS~;<.6Sn-#58N/03S5G7
OQBC:XS.6@+03@
 b Ê q l Gm ˆ i l GmW‚

åBM‡
b h l Gm Ì
lq GmÂ
‡A-#.:X. l Gm+0J@&LX-/.`;K58@X@&0RNV@¾0324.1BGOL-/.`:n582/0RU#@ Y5GN#2
b ø ‚ ø â äGš ú • kXk å; = h h
ù
#
03@xL-/.1=C:X5IÐD0RLX5MLX0RBCN#5G7—S
BCN#@†Ln5GN?L6Z\Ë.1=8.
L+L-#.^FV5G0J:+B8O . CUV5ML0JB8NV@
l Mm
l Gm ˆ i l Gm
 b Ê h
 l Mm b tCu h Mm
‚
ˆi l
 +.gS5GUV@¾.^0RNNDU#S7R.60> L-/.6:.`58:.1:XB8U/=C-/7R…œ5C@&;K5GND…œN/.6U4L:XB8N#@A5C@
F#:B8LB8NV@ 5GNV2 B8NL-#.`BGL-#.:A-#58N#2 LX-/.:X.`5G:X.15C@&;K5GND…
F#:B8LB8NV@+5C@&.7J.6S
L:XB8N#@ ‡x.1-#5IÐC.
ˆ i l Gm Þ wMy ˆ—l Mm
‚
.:X.
y `b š ‚ ø â äGš ú • h # =
ù
03@+L-#.`F/:B8LBCN;K58@X@A5GNV2 ˆßl Gm+LX-/.`NDU/; —.:2/.N#@0„L†…PBGOL-/.
.67R.gSWLX:BCN#@Z
ƒ @A5<=8BDB4258F/F/:XBIH40R;K5MLX0RBCNKL-#.`.7J.6SWLX:BCNE2/.N#@0„L†…BGO5Y@¾LX58:
S65GNEV.1Ln5 # .N58@A5<S
BCN#@†Ln5GN?L ˆ @5I…CZ,&-/.6N
%
l GmÂb â u y ˆ }
58N#2PL-DU#@&LX-/.1LB8LX5G7>;K5C@@
b %â u y ˆ Ì
}
&
&
&
&
&
&
‡A-/.6N 0J@+LX-/.`:n58240JU#@&BGOL-#.T@†Ln5G:gZ,&-#.^F#:.g@@U/:X.~;U#@†LN#BM‡
@X5MLX0J@¾OQ…KL-#.T240 ß.:X.N?LX0J587>. ?U#5MLX0RBCN
šø
 b Ê â u y hˆh ‡A0RL-L-/.^—B8U/N#2#5G:X…œ S
B8NV240„LX0RBCNœLX-#5ML&L-#.^F#:.g@@U/:X.ÐM5GN/03@-/.6@&5ML
LX-/.T@¾U#:¾O¢5CS
. 0¯Z .CZ
l mb ú ‚
à¤N?L.6=8:n5MLX0RN/=L-#.T240 ß.:X.N?LX0J587>. ?U#5MLX0RBCN‡+.1=8.LAOQB8:&L-#.
F/:X.6@X@U/:.15ML&LX-/.TS
.6NCLX.:
%Gu
b â y hˆh h‚
½ 0JN#S.~LX-/.`.7J.6S
L:XB8NE=C5C@&0J@&N/B8L ?U/0„LX.`U/7RL:n5G:X.735ML0JÐD0J@¾L03S~‡x.
S65G73S
U/735MLX.^;<BC:.158S6S
U/:n5MLX.7J…KL-#58N—.
OQBC:.CZ,&-/.T5IÐ8.6:X58=8.
.67R.gSWL:XB8N#0JS~.N/.6:=C…œ03@
€
a a
h
_z b y $ h Ÿ Ž  a  Ía Í Í h ™›š
ÍÍ h
a Ÿ a Ž   k k
b y $ h Ÿ Ž   Ía Í } a šx™ h Ï f ™›ää6ä Ž   ÍÍ h
Ÿ
b y $ h G tâ ¿ ¿ ™ tâ ¿ ¿ ™]ä6ää I ‚
9#:BC; L-/03@A‡+.`S5GNE=8.LAOQB8:&LX-/.`F/:X.6@X@¾U/:X.
{z
b š w u $ h l ¿4è Ê¿ h ¿ h ™›ää6ä m
b t š l â u h m k {z $ ˆ è G š Ê {z h ây u h h $ h m h ™›äää I ‚
l ˆ
} X}
,&-/03@+L-#.`. ?U#5MLX0RBCNB8O@¾LX5GL.1BGOL-#.`:.67J5GL0JÐ?03@¾L03S~X.6} 7R.gSWLX:BCNP=C5C@Z
\Ë.`:. ?U/0R:X.~L-#5GLAL-/.`F/:X.6@X@U/:.g@+B84Ln5G0JN/.62POQ:BC;ÒLX-/.`. ?U#5GL0JB8N
B8O@¾LX5MLX.T5GN#2POQ:XB8; LX-/.`-D…D2/:B424…DN#58;Y03S^#5G735GNVS
.`S
BCN#240RL0JB8N#@
58:.^. ?U#587>0RNEL-#.TS
.N?LX.: 0[Z .8Z
%8u y h h b
⠈
š l â u h m k {z ˆ è G š Ê y h $ h ™›ää6ä I ‚
t
{z h l â u h ˆ m h
X} $ X}
\]-/.6N‡x.`@U/#@¾L0RLU4LX.1L-/.`.67R.gSWL:XB8N24.6N#@¾0RL†… l 58X@A} 5OQU/N#S
L0JB8NBGO
LX-/.`;K58@X@A5GN#2:X5C240JU#@Xm
ˆ b %Gu â y }
‡+.1=8.
L&LX-/.TS
BCN#240RL0JB8N
h
v
v h v h Ì
b
Ê
š
| }
|
| }
‡A-/.6:.
v u k h v {z $ h ú ‚ 8w ú y
y
b
ä8š
š w |  y h | }X Þ
k
k
b y {z v % u | } v y | X} t ú8ú # ;‚
Þ ù
$
C
(C
C
(C
&
&
&
&
&
&
&
9#B8:&LX-/.`:X5C240JU#@&BGO L-/.T@¾LX58:A‡x.1=8.L
k
v
v
b | X} J š Ê
k
| } K ‚
\Ë.T@..^L-#5GLAL-/.`‡A-#0„LX.T24‡+58:¾O-#58@+LX-/.`;K5MH40J; U/;Ò;K5C@@
b Z ƒ ;<B8:X.`S58:.OQU/7S587JSU/7J5GL0JB8N@¾-#BM‡@ÂLX-#5MLALX-/.`;K58@X@
B8O5<‡A-/0RL.T2/‡+58:¾O S65GN/N#BGL.
H/S..62 B/õGö—ðMíXõIòì B/õGí/ñ òï ÷ ëY÷ 58VBCU4L š ‚ t ‡A0„LX-/B8U4LSB87J7J58F#@0RN/=LBœ5YN/.6U4L:XB8N@¾LX5G:ABC:A5
#7J5CS # -/B87J.8Z
! 1" 1 " $&% X * 1*D!# *
&
&
&
&
&
&
&
<ý J±GµC´YºPµ?¶n¶n±G´
,&-#.^;K5C@@A24.6N#@0„L†…BGO -#.65IÐD…œNDU#S
7J.0>03@
ˆ i Þ w ‚ % äGš ú k # =Æ; • ‚
\]-#.N‡x.`5C@@U/;<.^L-#5GLAL-/.`F/:XBGLXB8N5GN#2N/} .6U4L:XB8N24.NV@¾0RL0J.6@
58:.^. ?U#587ßL-/.T9#.:X;<0‡+5IÐC.~ÐC.6S
LB8:n@+BGOVB8L-=C5C@¾.g@&5G:X.
¿ š ‚ âCø ä8š ú k ; • k
Þ
58N#2PL-/.T9#.:X;Y0.N/.6:=C0R.g@
_ â %&S=. < ‚
Þ
½ 0RN#S. y . $ h b â %S =. < LX-/.`NDU#S
7J.658:A;<5GL¾LX.:A03@&N/B8N
:X.735MLX0RÐD03@†LX0JS8ZÆ,&-/.T5MLL:n58SWLX0RÐC.~NDU#S7R.6B8NE0RN?LX.:n58SWLX0RBCN#@AS58N#S
.67ßL-/.
F#:.g@@U/:X.^24U#.1LBYL-/. # 0JN/.
LX0JS1.6N/.:X=8…CZ
Y±8ý—¶n´ 4³¼n¶nµC´
\]-#.NEL-/.`;K5C@@&B8O5K@¾LX5G:&.H4S..g2/@+L-/. -V5GN#24:n58@. # 58:+7J0J;Y0RL
LX-/.T9/.6:;<0>F/:X.6@X@U/:.1B8OL-#.`.7J.6SWLX:BCN#@&03@&N/BGL.6N/B8U/=C-PLXB
S65GN#S.7ßLX-/.`=8:n5IÐD0„Ln5ML0JB8NV5G7VOQB8:nS
.8ZÆ,&-/.T@¾LX58:S
BCNCLX0RNDU/.g@+0„Ln@
SB87J7J58F#@.8ZÆ,&-/.`@†Ln5G:&OQBC:;K@A5Y=8035GN?LANDU#S
7J.U#@&‡A-#.:X.^;<B?@†L
.67R.gSWLX:BCN#@&5GN#2EF/:XBGLXB8N#@+-#5IÐC.~LX:X58N#@¾OQB8:X;Y.g2œÐD035 LX-/.`:X.658S
L0JB8N
F ™ .• N ™ SX
LXB<N/.U4LX:BCN#@6Z,&-/.1:X5C240RUV@&BGOL-/.`@¾LX5G:A03@
ú ;Ì
Þ š #
LX-/.`NDU#S
7J.BCNESB8U/N?L
‰ šú
Þ
58N#2PL-/.`;K58@[email protected]#@¾0RL†…
ˆ i Þ š ú k # =Æ; • ‚
,&-#.^F#:.g@@U/:X.15CSWLX0RN/=K58=C5G0JN#@¾LxLX-/.`=8:n5IÐD} 0J5GL0JB8Nœ03@A;<BC@¾L7J…P24U#.
LXBYL-/.`F/:X.6@X@U/:.^BGOL-#.T9/.:X;<0=C5C@&5GN#2LBYLX-/.T@†LX:BCN/= 5GL
@-/BC:¾L2403@†Ln5GN#S.6@&ÐC.:X…K:.6F/U/73@¾0JÐ8.1NDU#S
7J.658:+OQB8:nS
.6@6Z
ýVµ?´ ˺Pµ?¶n¶n±G´
\]-#.NNDU#S
7J.658:+;K5GL¾L.6:03@AS
B8;<F/:X.6@[email protected] w š ú LX0R;<[email protected]#@.:
LX-#5ML0JN5MLXB8;<0JS^NDU#S7R.60[ZL-#.`N?UVS
7J.B8NV@A@†Ln5G:L+LXB GBMÐC.:X7J58F T5GNV2
LX-/.0J:S
BCN#@¾L0RLU/.6NCL ?U#58: # @xOQB8:X;d5 ?U#58: # F/7358@;K5/Z
» #ýß»3· ±
,&-#.^NDU#S7R.6U#@A03@&F ™ F ™ N5GN#2LX-/.`NDU#S
7J.658:&@F/0JN hk Z
ƒ L 7JBM‡]L.6;<FV.6:X5GLU/:X.6@+LX-/.`NDU#S
7J.658:@¾F/0JN24.
LX.:X;<0RN/.g@+L-/.
@¾LX5GL03@†LX0JS6@ 0¯Z .CZ .T5MLBC;K@A5G:X.19#.:X;<0RBCN#@Z
,&-/.`9#.:X;Y0L.;<} F—.:n5MLXU/:.`SB8:X:.g@¾F—B8N#2/0RN/=LBYLX-/.`N/B8:X;K5G7
24.6N#@0„L†…œ03@
Á b ¿C_ À >Y‚
Þ
½ 0JN#S.~LX-/.`; U/LU#5870RN?LX.:n58SWLX0RBCN#@+V.L†‡x.6.N .T5MLXB8;K@A5G:X.
SB8N#@0J2/.:n5G/7J.LX-/. .`;K5ML¾LX.:&OQBC:;K@A5GN0J}N?L.:n58S
L0JN/= ìíWë÷
ï ÷ Q 4÷¢ðMZx,&-/. .`7R}0 ?U/0J2E-#5C@+L†‡xB<@U/FV.6:F/-#5C@¾.g@ l ƒ 58N#2 Am
Z
,&-/.g@¾.15G:X.^0RN} #587J58N#S
.^‡A0„LX-PLX-/.`N/BC:;K5G7ßF/-V58@.^5GL+LX-/.`S
:X0„LX0JS65G7
F—B80JN?L
Á w ‚ H; > E Á ú8úCú ‚
š
Þ ù