Ondelettes sous Matlab

"!$#%&#'
()*+,.-/1023546)%7/8%9:.2312;3
<1=?>A@CBED6F @HGI=KJLM@HNPOQ=SRUTWVJXITWXIF=
YTIJMZ\[AN@]TIF_^`ba`dc&`
ef[AJL6>WgIgh>
2
0
−2
0
200
400
600
800
1000
2
1
0
0
−2
−1
0
200
400
600
5
0
0
−5
−1
0
100
200
300
5
2
0
0
−5
0
50
100
−2
150
5
1
0
0
−5
0
200
400
600
0
100
200
300
0
50
100
150
1
0
20
40
60
−1
80
i
0
20
40
60
80
"!$#%'&(*)+!,
i/b. i02135456/78351:9;1:<=3?>A@CBD7FEG<H6(IJ.K...........K............K.
i/.NMO0$6P35456/<HBRQTSG4D9;U 1K1 <SG<H>A1 IF1:3V3D1*BW.........K............K.
XZY\[^];_`!a'&(*)+!,]b^#
MAb. i0$6P35456/<HBRQTSG4D9;U 1K1 <SG<H>A1 IF1:3V3D1*B?dSG<=3D7e<[email protected].
MA.NMO0$6P35456/<HBRQTSG4D9;U 1K1 <SG<H>A1 IF1:3V3D1*B?>A7hBDd:4Di:3D1j.....K............K.
-OY\[^];_`!a'&(*)+!,]lXH#
Lnb. io456/<HBRQTSG4D9;1 4pIe1 B7e9q6(EG1 BP..K...........K............K.
Ln.NMOs?<a6(Iet^BD19u@nIF3D7e45U BDS/Ie@A3D7eS/<v.K...........K............K.
Ln. Lws?IeE/SG4D7F3DxH9j1>zy 6(<a6(Iet^BD1>A1|{}6/IFIh6~3........K............K.
Ln. € s?IeE/SG4D7F3DxH9j1>A1451 d:S/<HBV3D45@Hd3D7eS/<>n1|{}6(IeIe6(3W...K............K.
w‚„ƒH…z%[= ]q#‡†F!,'#[^ˆ+[= [^]
cwŠq%'[^ˆ+ˆ‹[=]P!a'#'[=ˆ‹[=: [^]Œ
Ž P!a'&/ˆ‹%]*)+!,
M
L
c
L
k
g
Am
i*r
i*r
iKi
i*L
n‰
X2
XaŽ
$q '
"!$#%&'()
<35456/78351:9;1:<=3>A@BD7FEG<H6(,I +SG<KU:3D@H>n7F1 I y 7F<AQTSG4D9q6(3D7eS/<.-aSG4V35U:1-H6/42@n<|BD7FEG<H6(I .:06p3D4 6(<HBVQTS/459;U:1
A> 10/HS/@n457e1:401‹o2/34-a1 4D9;1:3>A1C35456/<HBRQTSG4D9;1 4q@n< BV7eE/<a6(I?1 < @n<n1 BDS/9;9;1 165=@n77-a1 @A398:3D451
7e<:H<n7e1;3>A1|BDU:457e1>n1 QTSG<Hd 357FSG<HB?BD7F<^@HB1:3„dS=BV7e<^@HB:.
*
=?< >A@B'CED F G =>6IBKJ HMLON%PQ I
H G
TS VU 2WX[3 \:
TS
(- ]a- `TS VU
R 13D3D1„3D4 6(<HBVQTS/459q6~3D7eS/<q45U G1:4 BV7 nIe1 a1 4D9;1:3p>A1 H6/B5BV1 4‡>A@>AS/9q6(7e<n1351:9 ,S/451:I6(@ >ASG9q6(7e<n1
QT45UY5=@n1:<=357F1 IZ1T13 7F<%S/1 45BD1:9;1 <G3 \6 H<C>A19;13V354D11 <U ^7e>n1:<Hd:1KIe1 B n4DS n457FU:3DU B>A@CBD7FEG<H6(I .^ 1
<nSG_9 Un451:@HBD1 B`6 --nIe7ed 6~3D7eS/<aB@A3D7eIF7hBD1:<=3?IF1*B4DU*BV@HI83 6~35B1:3?IF1*B n45S n457FU:3DU*Bp>n1Ie6;o2/p.
0$6;d 6(4 6/d 35U:457eBV3D7b5=@n17-n4D7e9;S/4 >A7h6(Ie1K>A1d:13V3513D4 6(<HBVQTS/459;U:1K1 BV3„BD6j45U G1:4 BV7 n7eIF7F3DU]+^6/7F<aBV7zSG<6c
F G ?
=>dIBZCeD = < >A@BJ LfN%PKQ @
H G
g5
X`- \U
kj
TS
\- `U
9lm5
0221 -H4D]S UnIFi 9;1>n1Ie62o / 1 BV3\BVSG<P9q6(< G@H1?>A14DU*BVSGIF@n3D7eS/<P3D1:9 ,S/451:IeIF1G. R 1:Ih6BV7eE/<H7f:H1BD7F9X-nIe1
h
9;1:<=3Z5=@n1pBD7AS/<P1 BV3'1Ti,1*d 357OSG1:9;1:<=3 d:6 H6 nIe1>A1pd:S/<n<a6 h3D451\35S/@A351 B'IF1*BQT4DU;5G@H1:<Hd:1 B?-n45U BD1:<=3D1*B
>n6/<HB@n<BD7FEG<H6(,I +2SG< 1 BV3|1:< 451 ~6(<Hd xH1q7F<Hd 6 H6 nIe1l>A1l>A7e4D1 =@n1 I\9;S/9;1 <G3|1 IFIe1 BPBV1n-H4DS`h
>A@n7hBD1:<=3„>n6(<aBIF1BD7FEG<H6(I .
o <T1 p^1 X
9 -nIF1|>n1 35456/<HBVQTS/459jU 1K>n1 /nS/@H4D7e1:4>zy @n<n17e9q6(E/11*BR3„>ASG<n<nU1:< :HEG@n45U1 iG.
qsr]tkuwvxft.y4z {}|~`€%K‚Aƒ]|„uw~k…[†‡ƒ]€wˆ%tŠ‰‹ƒ]Œ%|[†‡t;|(ˆ†fŽ
|
…t.ˆM‡Œ€4†‡‘‹€‹~`xM’\ˆM“
”[”4•[–„—„˜n™[šT—„›„šœ
”[”9TžKŸ[ [¡œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§TžKŸk¨\œb¥
›kž©
¦«ªK˜
¤¥;¬ž®­;Ÿ
”[”X¢[¢[ [¢[¢[¦]§TžKŸk¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§®›
¤[—
•\§®¢[¢k¨[¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§ž®­k—„Ÿ]§®¢[¢k¨[¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§,—š;¯§®¢[¢k¨[¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§,—©
ŸT•„¤`§®¢[¢k¨[¨\œ
”[”±°T¤
•Ž¥¬²™
¦
”[”X¢kžKŸ„£
›
¤%œ®²Ž Y²™
¦]§TžKŸ³µ´`¶A·[¸%³[¹A˜„šTº¹[³T¹6•»T•%¹µ¨\œb¥T›kž©T¦«ªK˜
¤¥;[²¼¬²
”[”X¢kžKŸ„£
›
¤%œf­k¤T°‹§²T¨\œ®²„–[•[–›­k—¥‹§6°;–¦k¨]œb¥
›kžK©
¦«ªK˜
¤¥;[²¼m²½„˜
S/@n?4 -H6/IFIe7F1 4'6/@-n45S`UnIei:9;1p>A1‡9q6/<¿5=@n1‡>A1p45U BDS/Ie@A3D7eS/<À+¯Á6\U,S/46?7e<=3D45SA>A@n7F3'Ih6„o2/ml?QT1:<8:3D451
E/Ie7hBDB56(<=3D1G.\^ 6/<HB d:13V3519;U3DxHS^>n1`+(SG<;d:S/<HBD7h>Ai:451IF1?BD7FEG<H6(Il6/<H6(IetABV1 4 dS/9;9;16\--a6(4D3D1:<a6(<=3
lj@n<n1QT1 < 8354D1|>A1IeS/<nEG@n1:@H4a:pA1.5=@n7$E/Ie7eB5BV1BD@n4IF1|BD7eE/<H6/I}-a1 <H>n6(<=3?Ih6P3D4 6(<HBVQTS/459q6~3D7eS/<$.
¾
= << >,Â]ÃK@BZCD F G =>6IBµÄ}>dI?ÅÆÂkBKJ H LfN%PKQ I
H G
kS
±5
%S
l
R 13D3D1?`6 --n45S^d xH
1 -,1:459;13\>zy 6 /SG7F4'@n<n19;1:7eIeIF1 @n4D145U BDS/Ie@A3D7eS/< =@n1Ie6o2/Ç+(9q6(7hBIe6 3 6(7eIFIe1Ç:pA1
>A1PIe6;QT1 <8354D1P1 BV3 @n< E/45SGB7e<HdSG< /U:<H7F1 <G3*.a0\y SG@A3D7eI7h>AU*6(IBD1:4 6(7F3„@n<H1|QT1:<¿83D451w5=@n7B y 6G>n6\-A351
6(@ p9S~6(457e6(3D7eS/<HB>A1QT45UY5=@n1 <Hd1>n6/<HBIF1|BD7eE/<H6/I q6/<H6(IetABV1 4 .
®È
É"#‹Ê„ËZ¿ÌÀÍÎË'"")KÀ‹#
$0 6 3DxHU:S/457e1j>A1*BKS/<H>A1 IF1:3V351 B1 BV36\--H6/4D@H1P7eIt 65=@n1 IV5=@n1*B6(<n<nU 1 BBD@n78351q6(@pC35456kS~6(@pC>n1
{CSG4DIe13p13"ÁK4DS=BDBD9q6(<mÏbi
Ð2BD@n4‡Ih6jd:6(4 6/d3DU 4D7hBD6(3D7eS/<q>A1BV7eE/<a6(@plBD7eBD9;7V5=@n1*B:.^ 1T-n@n7hBY+=Ie1 B‡35456\h
S~6(@pq>A1?451 d xH1:4 d xn1BV@n4\IF1*B S/<a>A1:Ie13D3D1 B\BV1„BDS/<=3 9P@nI8357O-HIF7eU BpBVSG@HBI y 7e<ÑH@H1:<Hd:1„>A1„d xn1 45d xH1:@n4 B
L
50
100
150
200
250
50
‹6
1 ]3
100
150
50
50
100
100
150
150
200
200
250
200
250
50
100
1dUg3
150
250
200
250
50
50
50
100
100
150
150
200
‹d
1 Y3
100
150
200
250
150
200
250
200
250
50
100
+>
1 ¿3
150
250
200
250
50
+1
1 ;3
100
im1‹]6 3
9q6(EG1 SG4D7eE/7e<H6(Iew
1 16Ug3p9;SA>A@nIeX1 1‹Yd 3p6(45E/@H9j1 <=3.1‹>¿3-H6(4D3D7e1 45U:1 IFIe1K131T1k3Ç-H6(4D3D7e1
7e9;6/E/7e<H6(7e451K>A1Ih6P3D4 6(<HBVQTS/459;U:1>A1/nSG@n457F1 4>n1I‹y 7F9q6/E/1
QT4 6(< 6(7hB <nS/356(9;9;1:<=37Ï LkÐ`.%^„1K<nS/9wUn451:@HBD1 BSGS/7e1 B\<nS/@SG1:IeIF1*B\BDS/<=3\1 <dSG@n4 B >zy 1
p-nIeS/4 6~3D7eS/<$.
021*B\`6 --nIe7ed 6~3D7eS/<aB\>A1*B S/<a>A1:Ie13D3D1 B\3DSG@Hd xn1 <G3\3DS/@aB Ie1 Bp>AS/9q6(7e<n1*B\>A@q35456/78351:9;1:<=3‡>n@ BV7eE/<a6(I .
0$6 Ua\S je351 lCSG@A3D7eIhBP{}6(3DIh6\U1*BR3PQT456/<:6/7eBD1`+1:IeIF1b6CU35U 45U 6/IF7hBVU 14-H6/4P{C7hd xn1:I{C7hBV7F3D7,+ZS/1*B
{C7F3D7hBV,7 +ÁK1:SG4DEG1 B W--,1:<Hxn1:7e9 13 /1*6(< h {C7hd xn1:I ¾ SGE/EG7‹. * IFIe71 -n4D]S -aS=BV1 >A1 B\3D4 6(<HBVQTS/459q6~357FSG<HB
i >13 M/}> +n>A1<nSG_9 Un451:@aBV1*B\Q+6/9;7FIeIF1*B?>zy S/<H>n1:Ie13V351 YB +n>A1 B„6(IeE/S/457F3Dxn9;1 B>A1d 6(Ihd@nIhB:. .:.
02n1 -H4DU*BV1 <G3>ASAd@H9j1 <=3u6 -,S/@H4 S/SAd:6(3D7eS/< >An1 -n45U BD1:<=3D1 4KIe1 B -n4D7e<Hd:O7 -H6/IF1*B QTS/<Hd3D7eS/<HBSG<H>AT1 h
Ie13V351 B>A1;{}6~35Ie`6 U2.z0$6 4DU:QTU:451:<Hd:1u451 BV3D_1 UH7F1 < 1:<=351:<H>A@ Ie6b>ASAd@H9j1 <=356~357FSG<}S ld:7F1 IFIe1j>n1uIh6
3DS^SGOI U,kS p k6 SG1:Ie13 -H6/4oxH1{ 6~3Dx pS/4 AB:¯. ^K6(<HBIh6BV@n7F3D]1 +~IF1*B -n457F<Hd:O7 -a6(Ie1 BQTS/<Hd3D7eS/<HB i*_> -H@n7eB
M(>bBD1:45S/<=3?>AU d:4D7F3D1*B13?@A357FIe7eBDU:1*B>n6(<aBIF1|d 6/>A451K>n13D4 k6 S"6/@ p4-n4 6~35V7 5=@n1*B:.
!
€
¯ \
Èa
É"#‹Ê„ËZ¿ÌÀÍÎË'"")KÀ‹# Ë'Ža!(
0$6P35456/<HBRQTSG4D9q6(3D7eS/< 1 <S/<H>A1 IF1:3V351 BdSG<=3D7e<=@H1K1*BR3„>nU
:H<n7e1dSG9j9;1|[email protected]
>dIB Q I
F G =>6IB
=s> MÃ BZC D s
H
d> IB
wU G
X- p
K6(<HB‡d13D3D1 UY5=@H6~357FSG<À+ 1*BR3‡I‹y 1:<HBD1:9 nIe1 >A1*BQTS/<ad 3D7eS/<aB\>A1WUH6/BD1„6\-¿-a1 IFU 1 B SG<H>A1 IF1:3V3D1*B:.
0 y U35S/7eIF1451T-n45U BD1:<=351 Ie1d:S/9 nIe1 A1CdSG<R@nE/@HU/.0$6 Q+6(9;7eIFIe1C>zy S/<H>A1 IF1:3V351 B;1 BV3qE/U <nU:45U:1¬l
-H6/4V357F4\>n1„Ih6|>A7eIe6(356~357FSG<q13‡>n1„Ih63D4 6(<HBDIh6~3D7eS/<q>zy @n<n1 S/<H>n1:Ie13V351?9;i:451 W>6IB .^021*B S/<a>A1:Ie13D3D1 B
BDS/<=3?>AS/<Hd>ATU :H<n7e1 2B -a6(Š4 c
^
0 y UY5=@H6(3D7eS/<d7Oh`>n1 B5BV@HB>A1YS^7F1 <G3c
>dIB'C 7> IÅ B
=?> MÃ TBZC
IÅ B Q I
F G =>6IB `>
D H G
>AU*BV7eE/<H1Ih6}QTSG<Hd 357FSG< SG<H>A1:Ie13D3D1b9;i:451b>ASG<=3;Ie1 B;>A7eIh6~3DU 1 Bj13j3D4 6(<aBVIh6~35U:1 BjBDS/<=3jIe1 B
H6GBV1*B>zy @H<b1*B-a6/d1>zy 6(<H6/IFtABD11:<S/<H>n1:Ie13V351 BBD@n4Ie1Y5=@n1:Iz1*BR3(-H4DSR13DU 1Ie6PQTS/<ad 3D7eS/< =>dIB .
0$6P35456/<HBRQTSG4D9;U 1„1:<SG<H>A1:Ie13D3D1*B1 BV345UTSG1:4 BV7VUnIe1`+=S/<-a1 @A3„>ASG<Hd7-H6/B5BV1 4>A1I‹y 6(<H6/IFtABD1K>2y @n<H1
QTS/<ad 3D7eS/<¬lqB56P451 d:S/<HBV3D45@Hd3D7eS/<9-a6(4.c
U
! =>6IB'CeD F G D FG ?
= > MÃ B
>6IB Q Q
H
H G
Çl G
7/
Y+
`+
Zb5 ?VU
5 ]S f:
Šnc
" 1 9;6/4 5=@nSG<HBÇ5G@H1 dSG<=3D4 6(7e4D1 9j1 <=3 |Ih6u3D4 6(<HBVQTS/459;U:1 >n1 HS/@n457F1 4 =Ih6QTS/<ad 3D7eS/< <$y 1*BR32-H6GB
7e9±-,SGBDU:1G. ¾ 6(4 d:S/<=3D451 >ASG783 ,SGB5BDU >A1 4 d1:4D356/7F<H1 Bd:6/456Gd 3DU 4D7hBV3D7 G@H1 B aSG@n4'5=@n1Ih6K3D4 6(<HBVQTS/4Žh
9;U:1‡1:<S/<a>A1:Ie13D3D1 B'BDS/7F3 aS=BDBD7 nIF1G. oS/@A351 QTSG<Hd 357FSG< G@H7 GU:457 H1Ih6„d:S/<H>n78357FSG<|>zy 6G>A9;7eB5BD7OUn7eIe7835U
dO7 h >A1 B5BVSG@HBp1 BV3?@n<n1S/<a>A1:Ie13D3D1 ,S(3D1 <=3D7e1:IeIF1
F G
D H G
2l
# W< >d@B # Q %@ $'&)(
#@ #
y 1 BV3hl¯h >A7F451"5=@n1KI‹y S/<a>A1:Ie13D3D1„1*BR3 |U <n1:45E/7e1(:a<n7F1G.^„17-nIe@HBT+^SG< 6 # W< >*]B #
R
>A7F31 BVIe6P3?>AQTS/1<a9;d 3DS~7eS/t/< 1 <n<n11 BV<^3@n@nIFIe<9`1 +A:a1 I8IF35Ie4D1|1.>A-HSG6G783BDBDSG1
B5hµdUH7e6(IeIF<a1 >AY4 +1/. 1 1:BVIh3?6j@n7F9X<n1-nIeSG7V<H5=@n>A1G1Š. 5=@n1-, H FG G
R
/.
0.
qsr]tkuwvxft wz {}|~`€%K‚Aƒ]|„uw~k…[†‡ƒ]€_t;€4ƒ]€%ˆ%t;xft
…Ž…Žt;Ç
ƒ]€¯…[†O€‹Œ‹t YˆM“
”[”4•[–„—„˜n©Y–Yž[Tž©œ
”[”±™[°Y–

”[”9TžKŸ[ „©Y–Yž[Tž©œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§TžKŸk¨\œb¥
›kž©
¦«ªK˜
¤¥;[²¼¬TžKŸ
”[”X¢[¢[ [¢[¢[¦]§TžKŸk¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§®›
¤[—
•\§®¢[¢k¨[¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§ž®­k—„Ÿ]§®¢[¢k¨[¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§,—š;¯§®¢[¢k¨[¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§,—©
ŸT•„¤`§®¢[¢k¨[¨\œ
”[”±°T¤
•Ž¥¬²™
¦
”[”X¢kžKŸ„£
›
¤%œ®²Ž Y²™
¦]§TžKŸ³µ´`¶A·[¸%³[¹A˜„šTº¹[³T¹6•»T•%¹µ¨\œb¥T›kž©T¦«ªK˜
¤¥;[²¼¬²
”[”X¢kžKŸ„£
›
¤%œf­k¤T°‹§²T¨\œ®²„–[•[–›­k—¥‹§6°;–¦k¨]œb¥
›kžK©
¦«ªK˜
¤¥;[²¼m²½„˜
g
+* A6(@A354D1 9;1:<=3
+* >AS/<ad
C +
W>6IB Q '
I C
<;d xH6(45E/1pIFa1 :,d xn7F1 4BV7eE/<H6/I l6(<H6/IFtABD1:a
4 c
‹. <P451:E=6(4 >A1‡d:(1 5G@$y 7eIndSG<G357F1 <=3
/E 4/d:17l xHSGB . <6`--,1:IeIF1<nS/3D451|BV7eE/<H6/I(. <C6qd xH1KIe1|BD7FEG<H6(I . <bd 6(Ihd@nIe1Ih6u35456/<HBh
QTS/459;U:1u>n1_/nSG@n4D7e1:4 >A@ BD7FEG<H6(I(+HS/<}d 6(Ihd@nIe1!j13#" 5=@n7$451T-H4DU*BV1 <G351:<=3?Ih6n-H6(4D3D7e1|45U:1 IFIe1
13K7F9q6/E/7e<H6(7e4D1|>n1$2+%1:3&'CBVSG<=3„4D1*B-,1 d3D7VS/1 9j1 <=3„IF1P9;S^>n@nIF1P13KI‹y 6(45E/@n9;1 <G3K>A1$.
<b`S UA357F1 <G3?Ie145U BD@nI83 6~2
3 -n45U BD1:<=3DUK1:< :HEG@n451LH.
1.5
1
0.5
0
−0.5
−1
−1.5
0
100
200
300
‹6
1 ]3
400
500
600
700
800
900
1000
By scale Values of Ca,b Coefficients for a = 1 5 9 13 17 ...
121
113
105
140
97
89
120
81
100
scales a
73
80
65
60
57
40
49
41
20
33
0
40
25
17
30
9
20
1
100
200
300
16Ug3
400
500
600
time (or space) b
700
+d
1 Y3
1000
800
600
400
10
800
900
1000
200
0
0
M 1‹6]3!(^7eE/<H6/IzS/457FEG7F<a6(I =>dIB 16Ug3p3D4 6(<aBRQTSG4D9;U:1K1:<SG<H>A1:Ie13D3D1*BdS/<=357F<^@n1|>A1 =>6IB 1+d;3
@n1|LG>>A1Ih6P3D4 6(<HBVQTS/459;U:1K1:<S/<a>A1:Ie13D3D1 Bd:S/<=3D7e<^@n1/.
)
0.
/.
qsr]t;|Y†f[t ±z {}|~`€%K‚Aƒ`|[uw~k…„†fƒ]€_t;€nƒ‹€%ˆ%t;xft
……tYa[ƒ]€\…„†V€‹Œ‹t ;ˆM“
*+,.-
/1032403560879/8:;/80<.:;=&08-924>01?@+,>.A%>CB 03D08/32'E.0874=F+G-'A87H:;0%>.0I297'+,.-HJK7H?@+29:;K,$>.0L=B 03508?!M.=;0GNO-'E.7P=;0O-9:;Q,&+=
,.K?!?!ASR3=;01=;08/8/8E.?UT ?@+2VRT
Èa®È
!
É"#‹Ê„ËZ¿ÌÀÍÎË'"")KÀ‹# "# WÀ%
0$6?3D4 6(<HBVQTS/459;U:1 1 <|S/<a>A1:Ie13D3D1 B'dSG<=3D7e<=@H1\1 BV3$354Di*B$451 >nS/<H>n6/<=3D1/.*s2:H<j>zy 6\--nIe7b5G@H1:4$Ih635456/<HBh
QTS/459;U:11 <lS/<H>n1:Ie13V351 B 6/@pqBV7eE/<H6/@pj>n7eB5d4513 BT+(7eIad:S/<%S^7F1 <=3\>A1 >A7hB5d45U3D7hBD1:4Ih6QTS/<Hd3D7eS/< 1 <
@A357FIe7eB56(<=3„>A1*aB S~6(Ie1:@n4 aB -n457eBD1 BBD@n4@n<n1EG4D7eIFIe1>A7hBDd:4Di:3D1/.
± <C 7eY±9 ZX -,SG13BD1 2>AC\SG<H[ dq Z @nY<HZX 1 k6 E/S/451*7eIFd Ie1l >AZ^14]`S~_ 6(Ie1:1:@H3 45 BPZ^>A]a7eB5_ d45. i351 BŠ-H4D7hBV1*BŠ-H6/4uIh6QTS/<Hd3D7eS/< . <«-,SGBD1
0$6P35456/<HBRQTSG4D9;U 1 1 <bSG<H>A1 IF1:3V3D1*B>A7hBDd:4Di:3D11 BV3„>AS/<H<nU:.1 -H6/Š4 c
^72SG<bd xHS/7hBV7F3
(
Z
=>cb Ã1[BZC
Cih
13
ZHed f
F G =>dIB 7> Z H X I?Åg[ Z B Q I
D H
.- G
V5
Z C * +ASG<bBD1 nIh6/d1>n6/<HBIe1d:6/B>ntG6/>n7 =@n1G. <b6;6(IeS/4 B7c
=? >cb Ã1[B'Cjh H#d f D FG =>dIBW>'h H X IB Q I
H
0 y 1
pA1 9±-HIF1M9;S/<=3D451„I y 6(<H6/IFtABD1?1:<lSG<H>A1 IF1:3V3D1*G B\1:3pIh6|451 d:S/<HBV3D45@Hd3D7eS/<l>zy @n< BD7FEG<H6(IBD7F<^@HBDSk®h
>n6/I}Un4D@H7835U/.
k
.
qsr]tkuwvxftŠ’nz {}|~`€%K‚Aƒ]|„uw~k…[†‡ƒ]€4t;€ ƒ]€%ˆ%t;xft
…Ž…ŽtY.ˆ†O
|T…Žt Yˆ¬Œ€ KtkŒx€†`tT~`Œ¬tT…7…„|~`€%K‚Aƒ`|
uw~k…„†fƒ]€n†V€ \t;|„Kt\“
”[”4•[–„—„˜n©Y–Yž[Tž©œ
”[”±™[°Y–

”[”9TžKŸ[ „©Y–Yž[Tž©œ
”[”4•[–Ž©
ŸYTžKŸ[ T•„¤©
Ÿ[¦„°‹§TžKŸk¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§TžKŸk¨\œb¥
›kž©
¦«ªK˜
¤¥;[²¼¤
¼;ª[´
”[
” A—%³A˜ [ [˜„™
¦]§TžKŸ³[¹A˜„šT¼%¹µ¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§,—;¨\œb¥
›kž©
¦«ªK˜
¤¥;[²¼¤ ¼;ª¼
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§®˜k¨\œb¥
›kž©
¦«ªK˜
¤¥;[²¼¤ ¼;ª½
”[”n—;´K „£[¥;²„–„¤„¢]§Y¹d—%¹[³d—%³[¹A˜„šT¼%¹[³µ´\³6•
–Ž©
ŸkTžKŸk¨`œ
”[”X˜k´K „£[¥;²„–„¤„¢]§Y¹A˜¹[³A˜³[¹A˜„šT¼%¹[³µ´\³6•
–Ž©
ŸkTžKŸk¨`œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§,—;´[¨\œb¥
›kž©
¦«ªK˜
¤¥;[²¼¤ ¼;ªKº
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§®˜k´[¨\œb¥
›kž©
¦«ªK˜
¤¥;[²¼¤ ¼;ª ”[”n—[¸„ kžK˜„™
¦]§,—%³A˜³[¹A˜„šT¼%¹[³6•[–Ž©
ŸYTžKŸ¯¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§,—[¸;¨\œb¥
›kž©
¦«ªK˜
¤¥;[²¼¤ ¼;ª ”[”n¤„›[›
¤£
›[ YTžKŸkª—[¸%œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§,¤„›[›
¤£
›k¨\œb¥
›kž©
¦ ªK˜
¤¥;[²¼9¤ ¼;ª
K6(<HB;d1:3P1Tp^1 9X-nIF1]+IF1BV7eE/<a6(I & 1 BV3;d xa6(45E/U >n6/<HBj{}6~35Ie6`UÀ+BD6}356(7eIeIF1b1 BV3jBV3DSAd /U 1
>n6/<HB&C(.z06q3D4 6(<aBRQTSG4D9;U:1u1:<}SG<H>A1:Ie13D3D1*BK>n7eB5d45i351|1 BV3K45U 6/IF7hBDU:1|EG4Gd1llIh6qQTSG<Hd 357FSG<
G .0 y \6 --H4DkS pA7e9;6(3D7eS/< 1:3jIe1 Bj>AU3 6(7eIeB;BDS/<=3j6 ld xnU ±
B l}I y U*d xn1:IeIe1b>A1I‹y 6(<a6(Iet^BD1/. ¾ @n7hYB +'SG<
451 dSG<HBV3D45@n783 I y \6 --n45kS pA7F9q6(3D7eS/<j13‡Ie1 B‡>AU3 6(7eIe'B lI‹y U d xH1:IeIF1„>n1?I‹y 7e9;6/E/1SG4D7eE/7e<H6(Ie1?k6 S/1*d .
021*sB :HE/@n451 B'BDS/<=?3 l <nS/¿@ S/1 6/@u6 ld xnU 1 B . * < :HÀ< +~Ie1pBD7eE/<H6/I=>A1>AYU -H6(4D3'1*BR3451 dSG<HBV3D45@n783 l?I y 6/7e>n1
>A1|Ih6;QTSG<Hd 357FSG< HG .,0\y 1 4D451:@n41 <=3D451|Ie6jQTSG<Hd 357FSG<}>A1P>nTU -H6/4V3?1:3 Ih6jQTS/<Hd3D7eS/<C451 dSG<HBV3D45@n78351
1 BV3?TU S~6/IF@nU 113?1 BV3<nU:EGIF7eE/1*\6 UnIe1/.
^
qsr]t;|Y†f[t’4z {}|~`€%K‚Aƒ`|[uw~k…„†fƒ]€_t;€nƒ‹€%ˆ%t;xft
……tYaˆ†O
|
…t±Œ€4t;ŒxÀ€†\tY~`Œg“
*+,.-
/1032403560879/8:;/80<.:;=&08-924>01?@+,>.A%>CB 03D08/32'E.0874=F+G-'A87H:;0%>.0I297'+,.-HJK7H?@+29:;K,$>.0L=B 03508?!M.=;0
,.K?!?!ASR3=;01=;08/8/8E.?UT ?@+2VRT
-'E.7P=;0O-9:;Q,&+=
s :a<;>n1p45U 6/IF7hBD1:4@n<n1p3D4 6(<aBRQTSG4D9;U:1p1:<jS/<a>A1:Ie13D3D1 B l7-nIe@HBD7F1 @n4 B<nO7 SG1 6/@pu>A14DU*BVSGIF@n3D7eS/<À+~BDS/7F3
2
@n<n1U*d45783@n<n1KQTSG<Hd 357FSG<5=@n7z7F3Di 4D1KIF1d 6(Ihd@nI}-nIe@HBD7F1 @n4 B\QTSG7eBY+nBDS/7F3SG< @A357FIe7hBV1Ih6|QTSG<Hd 357FSG<b>n1
d:6/Ied:@nÀI l±-nIe@HBV7e1:@H45B45U BDS/Ie@A3D7eS/<aB !"#$QTS/@n45<n7e.1 -H6(4Ih±6 Ua\S je351 lPSG@A3D7eIhB:.
0.
qsr]tkuwvxft%4z {}|~`€%K‚Aƒ]|„uw~k…[†‡ƒ]€_t;€4ƒ]€%ˆ%t;xft
…Ž…Žt;Çˆ†OT|ŽT…Žt Yˆ&wvxVŒ%Ž†ft;Œ%|„2€†\tY~`Œ‹r¿“
”[”4•[–„—„˜n©Y–Yž[Tž©œ
”[”±™[°Y–

”[”9TžKŸ[ „©Y–Yž[Tž©œ
”[”4•[–Ž©
ŸYTžKŸ[ T•„¤©
Ÿ[¦„°‹§TžKŸk¨\œ
”[
” 6²]³6$• [ „™T—„»
¤„˜
¤T²¯§TžKŸ³Aº³[¹A˜„šT¼%¹¨\œ
”[”n—¥
º[ —¥[¥;²„–„¤„¢]§²]³6•‹³[¹A˜„šT¼%¹[³Aºk¨\œ
”[”n—¥T½„ —¥[¥;²„–„¤„¢]§²]³6•‹³[¹A˜„šT¼%¹[³d½;¨\œ
”[”n—¥T¼„ —¥[¥;²„–„¤„¢]§²]³6•‹³[¹A˜„šT¼%¹[³d¼;¨\œ
”[”n—¥¯´K —¥[¥;²„–„¤„¢]§²]³6•‹³[¹A˜„šT¼%¹[³µ´[¨\œ
”[”X˜[º[ [˜
¤„¦Y²„–„¤„¢]§²]³6•‹³Aºk¨\œ
”[”X˜
½„ [˜
¤„¦Y²„–„¤„¢]§²]³6•‹³d½;¨\œ
”[”X˜
¼„ [˜
¤„¦Y²„–„¤„¢]§²]³6•‹³d¼;¨\œ
”[”X˜k´K [˜
¤„¦Y²„–„¤„¢]§²]³6•‹³µ´[¨\œ
”[”X¢kžKŸ„£
›
¤%œ
”[”9£[š[¥Y•[–¦]'§ %³d¼%³µ´[¨\œb¥Y•[–¦]§TžKŸk¨\œ
(
1.5
1
0.5
0
−0.5
−1
−1.5
0
100
200
300
400
‹6
1 ]3
500
600
2
0.8
1.5
0.6
1
0.4
0.5
0.2
0
0
−0.5
−0.2
−1
−0.4
−1.5
−2
700
800
900
1000
−0.6
0
100
16Ug3
200
300
400
500
−0.8
600
1.5
0
100
+d
1 Y3
200
300
400
500
600
0.6
0.4
1
0.2
0.5
0
0
−0.2
−0.5
−0.4
−1
−1.5
0
100
200
300
400
‹>
−0.6
1 ¿3
500
600
700
800
900
−0.8
1000
0
100
200
300
400
T1
1 ;3
500
600
700
800
900
1000
−13
1.5
5
x 10
4
1
3
2
0.5
1
0
0
−1
−0.5
−2
−3
−1
−1.5
0
100
200
300
400
500
TQ
1 3
600
−4
700
800
900
1000
−5
0
100
200
+E
1 ‹3
300
400
500
600
700
800
900
1000
L 1‹6]3!(^7eE/<H6/IzS/457FEG7F<a6(I =>dIB 16Ug36\-¿-n4DSkpA7e9q6~3D7eS/<13_1‹dY3>AU:356(7eIhB?>A1Ih6j3D4 6(<HBVQTS/459;U:1
1:<SG<H>A1:Ie13D3D1*Bu>A1q<n7VS/1*6(@ i 1+>g36\--H4DSkpA7e9;6(3D7eS/< 131+1;3>AU:356/7FIhB451 dSG<HBV3D45@n783 B6(@<n7VS/1*6(@
r 1 Q 3BD7eE/<H6/I'451 d:S/<[email protected] l-H6/4V357F4>A1;Ih63D4 6(<HBVQTS/459;U:1j1:< S/<H>A1 IF1:3V351 B7e<‹SG1:4 BV11TE%3K1:454D1 @n4
Æ
dSG9;9j7hBD1KIeS/4 B>A1Ih6P451 d:S/<HBV3D45@Hd3D7eS/<2.
”[”9£[š[¥Y•[–¦]§'%³d¼%³d½;¨\œb¥Y•[–¦]§,—¥¯´[¨\œ
”[”9£[š[¥Y•[–¦]'§ %³d¼%³Aºk¨\œb¥Y•[–¦]§®˜k´[¨\œ
”[”9£[š[¥Y•[–¦]'§ %³d¼%³ ;¨\œb¥Y•[–¦]§,—¥T¼;¨\œ
”[”9£[š[¥Y•[–¦]'§ %³d¼%³ ;¨\œb¥Y•[–¦]§®˜
¼;¨\œ
”[”9£[š[¥Y•[–¦]'§ %³d¼%³ ;¨\œb¥Y•[–¦]§,—¥T½;¨\œ
”[”9£[š[¥Y•[–¦]'§ %³d¼%³d·;¨\œb¥Y•[–¦]§®˜
½;¨\œ
”[”9£[š[¥Y•[–¦]'§ %³d¼%³ ¨\œb¥Y•[–¦]§,—¥
ºk¨\œ
”[”9£[š[¥Y•[–¦]'§ %³d¼%³µ´¸;¨\œb¥Y•[–¦]§®˜[ºk¨\œ
”[”±¥
›kž©
¦mªK˜
¤¥;[²¼¤ ½;ª[´
”[”X›
¤T²—¥T½„ „™
›Y²„–„¤„¢]§Y¹d—%¹[³®²]³6•‹³[¹A˜„šY¼%¹[³®½;¨\œ
”[”X›
¤T²Ž˜k´K „™
›Y²„–„¤„¢]§Y¹A˜¹[³®²]³6•‹³[¹A˜„šT¼¹[³µ´T¨\œ
”[”X›
¤T²Ž˜
¼„ „™
›Y²„–„¤„¢]§Y¹A˜¹[³®²]³6•‹³[¹A˜„šT¼¹[³d¼¯¨\œ
”[”X›
¤T²Ž˜
½„ „™
›Y²„–„¤„¢]§Y¹A˜¹[³®²]³6•‹³[¹A˜„šT¼¹[³d½¯¨\œ
”[”X¢kžKŸ„£
›
¤%œ
”[”9£[š[¥Y•[–¦]§®º³µ´\³µ´[¨\œb¥Y•[–¦]§®›
¤T²—¥Y½;¨\œ6¦kžK¦T•[¤`§Y¹[¥[¥
›Y–$kž®­¯—„¦kž„–Ž© —[½%¹µ¨\œ
”[”9£[š[¥Y•[–¦]§®º³µ´\³d¼;¨\œb¥Y•[–¦]§®›
¤T²Ž˜k´
¨\œA¦\žK¦T•„¤]§Y¹A˜
¤[¦
—;ž•
˜k´\¹µ¨\œ
”[”9£[š[¥Y•[–¦]§®º³µ´\³d½;¨\œb¥Y•[–¦]§®›
¤T²Ž˜
¼k¨\œA¦\žK¦T•„¤]§Y¹A˜
¤[¦
—;ž•
˜
¼%¹µ¨\œ
”[”9£[š[¥Y•[–¦]§®º³µ´\³Aºk¨\œb¥Y•[–¦]§®›
¤T²Ž˜
½k¨\œA¦\žK¦T•„¤]§Y¹A˜
¤[¦
—;ž•
˜
½%¹µ¨\œ
”[”±¥
›kž©
¦mªK˜
¤¥;[²¼¤ ½;ª¼
”[”4–›kžKŸ[ „™T—„»
¤„›
¤T²¯§²]³6•‹³[¹A˜„šT¼%¹µ¨\œ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§µ–›kžKŸk¨\œb¥
›kž©
¦«ªK˜
¤¥;[²¼¬–›kžKŸ
”[”X¢kžKŸ„£
›
¤%œb¥Y•[–¦]§µ–›kžKŸkªTžKŸk¨\œb¥
›kžK©
¦ ªK˜
¤¥;[²¼9¤
½;ª¤„›[›
¤£
›
02145U BD@nIF356~3?>A1I y 1
pA1:9X-nIe1|Lj1 BV3>nS/<n<nU1 <:HE/@n451K€H.
Approximation a3
2
2
0
−2
0
0
200
400
600
800
1000
2
1
0
0
−2
0
200
400
−1
600
5
1
0
0
−2
0
100
200
300
400
500 d1
details
600
700
800
900
1000
0
100
200
300
400
500 d2
details
600
700
800
900
1000
0
100
200
300
400
500 d3
details
600
700
800
900
1000
0
100
200
300
400
500
600
700
800
900
1000
1
0
200
400
0
600
−1
0.5
−5
0
100
200
−1
300
5
2
0
0
−5
0
50
100
−2
150
5
100
200
300
0
−0.5
0
50
100
0.5
150
1
0
−5
0
0
0
0
20
40
60
−1
80
0
‹6
−0.5
1 ]3
20
40
60
−1
80
1dUg3
−12
1.5
2
1
1.5
0.5
1
0
0.5
−0.5
0
−1
−0.5
−1.5
0
100
200
300
400
500
+d
1 Y3
600
700
800
900
−1
1000
x 10
0
100
200
‹>
1 ¿3
300
400
500
600
700
800
900
1000
€ n1‹]6 3$3D4 6(<aBRQTSG4D9;U:1‡1:<jS/<H>n1:Ie13V351 B l7-nIe@HBV7e1:@H45B'<nV7 S/1*6(@ p|>A145U BDS/Ie@A3D7eS/< 1dUg3'\6 -¿-n4DkS pA7Oh
9q6~357FSG<1:3„>AU3 6(7eIeBŠ1‹dY3BD7FEG<H6(I451 d:S/<HBV3D45@n7F3Š1‹>¿3p1:45451:@n4a-H6/4456`--aSG4V36(@CBD7FEG<H6(Iz>zy S/457eE/7e<n1/.
qsr]t;|Y†f[t 9
% z {}|~`€%K‚Aƒ`|[uTtWt;€nƒ‹€%ˆ%t;xft
……tY wvxVŒ%Ž†ft;Œ%|„2€†\tT~`Œ‹rnˆ%t|Yƒ]xOŒ]…[†‡ƒ‹€g“
*+,.-4/803240356017H/8:;/80 <:;=01-H24>.08?@+,.>.AO>CB 03D01/329E.087I=F+G2979+,.-9JK79?@+29:;K,>.0%=B 035601?!M=;0 -'E7=;0O-9:;Q,&+=,.K?!?!A
R3=;08=;08/1/8E.?UT ?@+2VRT
!
¯ \
a
±"#‹Ê„ËZ¿À
)K# &Z#
s S"6/<=3 >A1b3D4 6(<HBVQTS/459;1:4q>A1 Bl7F9q6(EG1 Bj1:< SG<H>A1:Ie13D3D1*TB + 7eI1 BV3l@A357FIe1}>A1C4 6\--,1:Ie1:445=@n1 IV5=@n1*B
s
QTS/<ad 3D7eS/<aB{}6~35Ie6`UUn7e1:<@A357FIe1 B"lu35456kSG1:4 Bp@n<1TpA1:9X-nIe1/.
qsr]tkuwvxft9z M tY[…„Œ%|tŠˆM Œ€‹t†Vu_~¯‘`t"~`Œn‚Aƒ]|„uw~k…v¿tT‘“
”[”ž®­; kž®­;›
¤[—„˜]§Y¹6•„¤©T—
¥
Ÿ¹µ¨\œ
”[”ž®­; kž®­k¼„˜T–Ž£[šY•„¤`§®›[Ÿ„šT¼„Ÿ[›
— ]§ž®­]¨
¨\œ
”[”±™[°Y–

—K­k¤
;ž ¤
[¦
¤T
 •„—T[
;´¼ ;´¼
½ [¼ ´Kº ˜T–Ž£[šY•„¤9—„›[›
—
›
—©
˜9¦T–¦
—
•¬ž [ ·„ º
½[¼9¤
•„¤K­k¤©
¦Yn£;Tž©
Ÿ&[¼ ´Kº nš[¦
¤T
”[”X¢kžKŸ„£
›
¤%œµž®­\°Y–Ž™‹§ž®­]¨\œd—k ž¯§Y¹µž,­k—„ŸY¤%¹µ¨\œ6—k ž –Ž©
ž®­
”[”±¥
›kž©
¦mªK˜
¤¥;[²¼¬•„¤©T—A¤¥;
<bIF7F33DS/@n3>2y 6`UaSG45> I‹y 7F9q6/E/1 ¾'* ÁIF1 <H6n. K-nE„13SG<Ih6PBV3DSAd G1K>n6/<HBpIe6±S~6(457h6\UnIe17F9(.
>A1 I y 7e9q6(EG1 7e9 dSA>AU:11 <|1:<=357F1 45Bz1 <@n<n1 7e9q6(EG1\dSA>AU 11:<45U:1:IhB . <.-H6/B5BD1\>zy @n<
1 BŽ-H6Gd1ud:S/@nIe1:@n.4 ll@H<}1 BŽ-H6/d:1u<n7VS/1*6(@pC>A1PE/457eB . < 6 ld xn1|I y 7e9q6(EG1P6kS/1*d@n<n1PU d xn1 IFIe1u1 <
-nO7 pA1:IhB:. * < :H<|SG<B56(¿@ S/1I y 7e9q6(E/16 qd xHU:1 >n6/<HBzIe1 4DUY-a1 4V35S/7e4D1d:S/@n4 6(<=326(@QTSG4D9q6~3}-,SGBV35B5d457O-n3
1:<ad:\6 -aBV@nIenU 1 *Z¾ (3BDS/@HBIe1<nS/
9 Ie1:<H6H. Y1 -HB (.A02145U BD@nI83 6~31 BV3?>AS/<H<nU1:<:HE/@H4D1|gA.
Š
< -H6GBDBD1
50
100
150
200
250
300
350
400
450
500
50
100
150
200
250
300
350
400
450
500
g * p^1 X9 -nIF1|>n1IF1*d 3D@H4D1>A1I y 7e9q6(EG1
a®È
!
Ie1:<H6H. K-HEH.
()"2#‹ !W)KÌs#]Ë)!2Ë'
(^SG783?@n<1 <HBV1 9_UnIe1|>A1|BDS/@HBh`1 BŽ-H6/d:1 Bp>A1$# >&%B 1+I‹y 1:<HBD1:9wUnIe1|>A1 BBD7FEG<H6(@pl;U:<n1 4DEG7F17:H<H7F1k3
3D1 IeB"5G@H1±c
. .:(. '*) '*),+'-) Z '-) H +' .:.:.('*). +/'0).1' .:. .
2 .354 ) . C # >&%B
6 .354). C+*
798 ]`_ Ã=>&:MB ] ) .;<
7= ]`_ Ä=>>M: B ] ) Z ;<
F
=>9h H + :MB ]
=>>:4Å = B ]
). +
) ZF
1 B H4DS n4D7eU35U B>AUT:H<n7hBDBD1:<=3@n<n1|6/<H6(IetABV1K9u@HI8357F45U BDS/Ie@A3D7eS/<BD@n4?# &> %B .
R a- ]-
ir
0 y 6(<a6(Iet^BD1 9P@nI8357F45U BDS/Ie@A357FSG<u6?U:3DU>AU
:H<H7F1Ç-H6(4{}6/IFIh6~3ÇÏ L\Ð .~0 y 7h>AU:1‡1 BV3>A1Ç-n45S R1:3D1:4@n<PBD7eE/<H6/I
=>dIB ] # >&%ZB 6\--H6/4V351:<H6/<=3'l@n<q1 BŽ-H6Gd1 ).„BV@n4‡@n<lBDS/@HBh 1*B-a6/d1). +13‡@H<lBVSG@HBKh`1 BŽ-H6Gd1
. +>n6/<HBpIF1.Un@A3„>n1K45U >n@n7F451Ie6P45U BDS/Ie@A3D7eS/<b>A19jSG78357FUG.H021B5d xnU:9q6PF 1 BV3?>AS/<n<HUK1 <9:aE/@n451
kn. F IH
1 pA7eBV3D1?>nS/<Hdp@n<;`S -,U:4 6~351:@n4>A21 -H4DS R1 d 357FSG< .1:3 @n<;`S -,U:4 6~351:@n4>A21 -n45S R1*d 357FSG< .a5=@n7
-n45S R1:3V3D1 <=3K451 ŽB -a1*d 35O7 SG1:9;1:<=3 Ie1;BV7eE/<H6/I =>6IB BD@n$
4 ). +P13 . +~. ). +P1 BV3KIe1;BVSG@HKB h`1 ŽB -H6Gd1
>zy \6 --H4DkS pA7e9;6(3D7eS/<b13 . +Ie1uBDS/@HB h`1 ŽB -H6/d:1K>A1P>AU3 F 6(7eIeB . ¬< -aF 1 @A3 >AF U 9;S/<=3D451:"4 5=@2y 7eI2
1 pA7hBR351
@n<n1uQTS/<Hd3D7eS/< >2y U*d xn1:IeIF1 F >dIB ] # > %B 5=@n71:<HE/1:<a>A4D_1 -H6(4K>A7FIh6~3 6~357FSG<}13 3D4 6(<HBDIe6(3D7eS/<C@n<H1
UH6GBV1|SG4V35xnS/<HS/459jU 1>A1 ). +|13 @H<n1|QTSG<Hd 357FSG<}>zy SG<H>A1 IF1:3V3D1*B 7>dIB ] # >&%B 5=@n71 <nE/1 <H>A451
-H6/4 >A7FIh6~3 6~357FSG<P1:33D4 6(<HBDIe6(3DF 7eS/<P@n<n2
1 UH6GBV1S/4D3DxHS/<nSG4D9;U:1>A1 . + ./021*B1 ŽB -H6/d:1 B`S Un3D1:<^@HB<H1
BDS/<=73 -a6/.B 5=@n1:IhdSG¿< 5=@n1 YB +7FIh7B -aS=BDBDi >A1 <=3>A1*.B -n45`S -n457FU:3DU*B„7e<=3DU:451 F B5B56(<=3D1*B:. ¾ 6(4dSG<HBR354D@ad 3D7eS/< +
Ie1 B1*B -H6Gd1*BK>2y `6 --n45kS p^7e9q6~357FSG< ) . + 1:3u>A1l>AU3 6(7eIeB . + BVSG<G3|BD@ --nIeU:9;1 <G3 6(7e4D1*XB c ) . C
) . + . + .
F
F
F
F
k ¾
457F<Hd:7O-,1|>A1I y 6/<H6(IetABV1K9u@HI8357F45U BDS/Ie@A3D7eS/<$.
021*BpQTS/<Hd3D7eS/<H.#B" >n1ŠUH6/BD. 1 B>A7eIh6~3DU 1 BBDS/<=3?>AS/<H<nU:1*Ba-H6(4Ie1 B451:.#Ih6~" 357FSG<HB7c.
9. ! >6IBZCjh H >'h H IsÅ [B k6 S/1*d [ ] _ 13 . ! >dIB'Cih H W>'h H I?Å [B k6 S/1 d [ ] _
< 6 >AS/<Hd . =C%$ $ =MÃ .
.
1:3 . =¬C($ $ =MÃ . .
S $ =>dIB[ÃÄ}>dIB & >AU*BV7eE/<n1 ! Ie1 -n 4D!'SA&>A@H783 ! B5d:6/Ie6/7F451 >n1 =>6I! B -H6(4 )! Ä}& >dIB ! c
$
, H FG =>dIB Ä}>dIB Q I
@n7hB G@H1PIe1 B QTS/<ad 3D7eS/<aG B„@A357FIe7hBVU 1 B6\--a6(4D3D7e1:<n<n1 <=3„3DSG@A3D1*B.l # >&%ZB +S/< 6 Ä>6IB"C Ä>6IB . <
,SGBD1 /$ =MÃ 9. ! & 13 Q . ! C/$ =MÃ . ! & . . ! 13 Q . ! BVSG<G3P4D1*B-,1 d3D7VS/1:9;1 <G3|Ie1 B
dS^1 qd:7F1 <=35B>zy 6\--n45SkpA7F9q6(3D7eS/< 13}>A1>AU:356(7eIhBb>n1 Ih635456/<HBVQTS/459jU 1 1 < S/<a>A1:Ie13D3D1 B>A1 Ih6
=>dIB[ÃÄ}>dIB
¾ 5
.! C
&
C
QTS/<ad 3D7eS/< = .
02145U BD@nIF356(3>n1I‹y 6(<H6/IFtABD19u@nIF3D7e4DU*BVSGIF@n3D7eS/<>zy @H<n17F9q6/E/11 BV3„>AS/<H<nU1:<:HE/@H4D1 H. <SGS/7F3
Ih6>A7e9j7e<^@A3D7eS/< >A1 Ih6 45U BDS/Ie@A3D7eS/<À+\I‹y 7F9q6/E/1 >zy 6\-¿-n4DSkpA7e9q6~3D7eS/< 1:3Ie1 Bl7e9q6(EG1 B >n1 >AU3 6(7eIeB
xnSG4D+7 *:SG<G3 6(@ p}+%S/1 4V357ed 6(@ pl1:3„>A7h6(E/SG<H6(@ p.
a !
)K&'ËZ¿,W E.-d()"2#‹ (0/
)Ž)K?
(=35TU -nxH6/<n1{}6(IeIh6~36j>nS/<n<nU@n<6(IeE/SG4D7F3DxH9j1K>A1>AU d:S/X
9 -,SGBD7835S/< 1 <SG<H>A1 IF1:3V3D1*2B 5=@n}7 -a1 4D9;1:3
z> y S`UA351:<n7e4@n<n1?6/<H6(IetABV1p9u@HI8357F45U BDS/Ie@A3D7eS/<;>A@qBD7FEG<H6(I . R 13\6(IeE/SG4D7F3DxH9j1‡3D4 6kS~6(7eIFIe1Ç-H6(4 :HIF3D4 6(EG1
>A1 I y 7F9q6(EG1BV@n7VS~6(<=3$Ie1 BzIe7eE/<n1*B}-n@n7hBzIe1 B2d:S/IeS/<n<n1*B}-H6/42>A1:@p7:HIF3D451 BY+!Ä -H6GBDBD1
h`xH6/@A3z13 1 -a6/B5BV1Th
UH6GB:. 1 S~6>ASG<HdjB:y 6~3D356(4 >A1 4 BD@n4IF1*BWUa6/B5BV1*B?QT45UY5=@n1 <Hd1*B >n6/<HBKI‹y 7e9;6/E/11TI y 6`--n45Skp^7e9q6~357FSG<g3
13 Ä BD@n4Ie1 BxH6/@A3D1*BQT45YU 5=@n1:<ad1 ŠB 1+IF1*B>AU3 6(7eIe„B 3 .
ii
$&% !
#" !
!
!
' (!
( s?IeE/SG4D7F3DxH9j1>zy 6(<a6(Iet^BD1>A1{}6(IeIh6~3 .
0 y 1
pA1 9±-HIF1|BD@n7VS"6/<=37eIeIF@HBV3D451I y 6/<H6(IetABV19u@HI8357F45U BDS/Ie@A3D7eS/<>zy @n<n17e9q6(E/11 <b<H7OSG1 6(@p>A1E/457hB
BD1:IeS/<bI‹y 6(IeE/SG4D7F3Dxn9;1>A1|{}6/IFIh6~3*.
qsr]tkuwvxf*
t )nz +W€‹~`-x ,%KtwuwŒx …[†f| ;Kƒ]xVŒ]…„†fƒ]€±ˆM Œ€‹t±†Ouw~¯‘\t.t;€¬€†\tT~`Œ‹rˆ%t‘`|[†f 4Œ€¬€†`tT~`Œˆ%t
|Yƒ]xOŒ]…[†‡ƒ‹€Xt
…(|tY[ƒ‹€%…|[Œ%„…[†‡ƒ‹€g“
”[”9²„•„¤[—„›œ
”[”ž®­;Ÿ[ kž®­;›
¤[—„˜]§Y¹6•„¤©T—
¥
Ÿ¹µ¨\œ
”[”ž®­;Ÿ[ kž®­k¼„˜T–Ž£[šY•„¤`§®›[Ÿ„šT¼„Ÿ[›
— ]§ž®­kŸk¨[¨]œ
”[”9²„–[•[–›­k—¥‹§®Ÿ[›
— k¨\œ
”[”X¢kžKŸ„£
›
¤%œµž®­\°Y–Ž™‹§ž®­;Ÿk¨\œd— kž¯§Y¹ž®­k—
Ÿ
¤%¹µ¨`œd—kž„m–Ž©œb¥
›kž©
¦ ªK˜
¤¥;[²¼9¤ ;ª[´
”[
” A—¥³A˜„°³A˜[»³A˜[˜ [ [˜„™
¦
¼`§ž®­;Ÿ³[¹b°Y—[—„›¿¹µ¨\œ
”[”X¢kžKŸ„£
›
¤%œµž®­\°Y–Ž™‹§ A—¥³A˜„°œA˜[»³A˜
˜ k¨]œd— kž„¯§Y¹µž,­k—„ŸT¤%¹µ¨\œ6— kž[m–Ž©œb¥
›kž©
¦0ªK˜
¤¥;[²¼¤ ;ª¼
”[”X¢kžKŸ„£
›
¤%œf­k¤T°‹§ A—¥³A˜„°œA˜[»³A˜[˜ ¯¨\œb¥Y›kž©
¦ ªK˜
¤¥;[²¼9¤ ;ª½
”[”X¢kžKŸ„£
›
¤%œµž®­\°Y–Ž™‹§ A—/¥ .„¼%³A˜„/° 0Y´ œA˜[1» 0Y´ %³d˜[2˜ 0Y´ k¨`œd— kž„¯§Y¹Kž®­k—„ŸT¤%¹µ¨\œ6— kž„m–Ž©œb¥
›kž©
¦ Kª ˜
¤¥;[²¼9¤ ; ªKº
”[”±™[°Y–

—K­k¤
;ž ¤
[¦
¤T
 •„—T[
—¥
˜[˜
˜„°
[˜ »
ž®­;Ÿ
¼
¼
¼
¼ ¼
¼ ¼
¼ ;´¼ ;´¼
[¼„º
¼[·[·
[¼„º
¼[·[·
[¼„º
¼[·[·
[¼„º
¼[·[·
¼[¸ ; ´[ ¼
˜T–Ž£[šY•„¤9—„›[›
—
˜T–Ž£[šY•„¤9—„›[›
— ˜T–Ž£[šY•„¤9—„›[›
— ˜T–Ž£[šY•„¤9—„›[›
— ˜T–Ž£[šY•„¤9—„›[›
— ›
—©
˜9¦T–¦
—
•¬ž [¼„º
¼[·[·9¤
•„¤K­k¤©
¦Yn£;Tž©
Ÿ4ºk´
º
½[¸„º4
š [¦
¤T
”[”n—¥¯´K „£[¥;²„–„¤„¢
¼`§Y¹d—%¹[³d—¥³[¹b°T—[—„›¹
³µ´[¨]œ
”[”X˜„°¯´K „£[¥;²„–„¤„¢
¼`§Y¹A˜¹[³A˜„°³[¹b°T—[—„›¹
³µ´[¨]œ
”[”X˜[»k´K „£[¥;²„–„¤„¢
¼`§Y¹A˜¹[³A˜[»³[¹b°T—[—„›¹
³µ´[¨]œ
”[”X˜[˜k´K „£[¥;²„–„¤„¢
¼`§Y¹A˜¹[³A˜[˜³[¹b°T—[—„›¹
³µ´[¨]œ
”[”X¢kžKŸ„£
›
¤%œ®²„–[•[–›­k—¥‹§®Ÿ[›
— k¨\œ
”[”9£[š[¥Y•[–¦]§,¼%³d¼%³µ´[¨\œµž®­k—„Ÿ
¤`§6™;²„–˜T¤K­k—
¦]§,—¥\´\³µ´ ¼;¨[¨`œ
”[”9£[š[¥Y•[–¦]§,¼%³d¼%³d¼;¨\œµž®­k—„Ÿ
¤`§6™;²„–˜T¤K­k—
¦]§®˜„°\´\³µ´ ¼;¨[¨`œ
”[”9£[š[¥Y•[–¦]§,¼%³d¼%³d½;¨\œµž®­k—„Ÿ
¤`§6™;²„–˜T¤K­k—
¦]§®˜[»¯´\³µ´ ¼;¨[¨`œ
”[”9£[š[¥Y•[–¦]§,¼%³d¼%³Aºk¨\œµž®­k—„Ÿ
¤`§6™;²„–˜T¤K­k—
¦]§®˜[˜¯´\³µ´ ¼;¨[¨`œ
”[”±¥
›kž©
¦mªK˜
¤¥;[²¼¤ ;ª ”[”4–›kžKŸ[ kžK˜„™
¦
¼`§,—¥³A˜„°³A˜[»³A˜[˜³[¹b°Y—[—„›¿¹µ¨\œ
”[”X¢kžKŸ„£
›
¤%œµž®­k—„Ÿ
¤T[²¯§µ–›kžKŸk¨\œ®²„–[•[–„›­k—[¥‹§®Ÿ[›T— k¨\œ6—kž„¯§Y¹µž,­k—„ŸY¤%¹µ¨\œ6—kž –Ž©œ
”[”X¢kžKŸ„£
›
¤%œµž®­k—„Ÿ
¤T[²¯§µ–›kžKŸkª[ž®­;Ÿk¨\œA¥
›kž©
¦«ªK˜
¤¥;n¤ ;ª¤„›[›
¤£
›
”[”­k— ]§b­k— ]§µ–›kžKŸkª[ž®­;Ÿk¨[¨
—©;± ;´½[¤;ª¸;´
i*M
50
100
150
200
250
300
350
400
450
500
50
100
150
200
250
300
50
50
100
100
150
150
200
200
250
250
300
300
350
350
400
400
450
450
500
350
400
450
500
500
50
100
150
200
250
300
350
400
450
500
50
100
150
200
250
300
350
400
450
500
o <;
1 pA1 9±-HIF1>A1?>AU*dSG9±-,SGBD7F3D7eS/<u1 <;S/<H>A1 IF1:3V351 B>zy @n<n17e9q6(E/16(@±-n451:9;7e1:4<n7VS/1*6(@
>A145U BDS/Ie@A3D7eS/<$.
[G~&G)+&/[ c ƒnˆ2] [ %'ˆT*)T
^] !,ˆ+% )‹!a[=;~[^&/!,] :~%'&( )‹!a #‡†F%''[C)ƒ,[
* i1 d3D@n1 4I‹y 6(<H6/IFtABD1?9u@HI8357F45U BDS/Ie@A3D7eS/<b>A1KI‹y 7F9q6/E/1 d:S/<=3D1 <^@n1 >n6/<HB/ 2UH6/4ŽU$. 9q6~3 ~.=s I y 6/7e>n1
>A1*BBVt^9;IF1:35ŠB 1 `g 3[+n>nU dSGX9 -aS=BV1 4p1:3„6 ld xn1 4pI y 7F9q6(EG1>A1>AUT-H6/4V32-n@H7eB451 d:S/<HBV3D45@n7e4D1w-a6(4D3D7e4
>A1Ih6;>AU d:S/X9 -aS=BV7F3D7eS/< +n6 ld xn1:41:3„dS/X9 -H6/4D1 4IF1*B4DU*BV@nIF356(35B1:3„dS/<adIe@n4D1G.
))?
0$6l4D1*dS/<aBR354D@Hd3D7eS/<C>A1*B„BD7FEG<H6(@pC6(<a6(Iet^BDU B?1 BV3 1
i1 d3D@nU 1_llI y 6(7h>A1u>zy @n< UH6/<Hd|>A1_:HIF3D451 B 1
13 Ä 5=@n7zBVSG<=3pIe1 B:HIF3D451 BdSG<R@nEG@nU B>A1 1 13/Ä .(^1 IFSG< I y SG<H>A1 IF1:3V3D1d xnSG7eBD7e1"-,S/@n4I y 6/<H6(IetABV1]+
a
!
)K&'ËZ¿,W E( Ë'W#`¿! MKË'Î(0/
Ie1 BW:HIF3D451 B>zy 6(<H6/IFtABD1P1:3>A1;451 d:S/<HBV3D45@Hd 357FSG< -,1:@SG1:<=378:3D451j>n1j9X8 9j1j3 6(7eIFIe1`+zBDt=9;U:3D457V5=@n1*B
S/@ Un7e1:<C>A13 6(7eIFIe1>Af7 iU:451:<=35`1 +n<nSG<bBDt^9;U3D45b7 5G@H1 B .
^K6(<HBjIh6 451 d:S/<HBV3D45@Hd 357FSGÀ
< +'S/< 3D4 k6 S"6/7FIeIe16(IF3D1 4D<a6~3D7VS/1 9;1:<=3jBD@n4;IF1*B;dS/IeS/<H<n1 B±-n@n7hB;BV@H4jIe1 B
Ie7FEG<n1 BIeS/4 BŽ5=@n1KIe1 BSG<H>A1:Ie13D3D1*BBVSG<G3?BDUT-H6/456`UnIe1 B .
qsr]tkuwvxf
t 4z +W€‹~`-x ,%Kt_uwŒx …[†f|Yƒ]xVŒ]…„†fƒ]€XˆM Œ€‹t_†Vuw~¯‘\tŠ[ƒ]Œxft;Œ%| wvxVŒ%Ž†ft;Œ%|„"€†\tT~`Œ‹r4ˆ%t_|
Kƒ‹xOŒ]…[†‡ƒ]€nt
…(|tY[ƒ]€%K…|[Œ%„…[†‡ƒ]€g“
iL
$&% (!
#" !
!
!
s?IeE/SG4D7F3Dxn9;1>A1451
”[”9²„•„¤[—„›
”[”4•[–„—„˜n™[šT—„›„š
”[”±™[°Y–

—K­k¤
;ž
¤
¡
­k—¥
¼
¼
´ ¼ ½
dSG<HBV3D45@Hd 357FSG<>A1|{}6/IFIh6~3*.
[¦
¤T
•„—T[
[¼„º
¼[·[·
º [ ¸[·
˜T–Ž£[šY•„¤9—„›[›
—
˜T–Ž£[šY•„¤9—„›[›
— ›
—©
˜9¦T–¦
—
•¬ž ;´[´¼9¤
•„¤K­k¤©
¦YX£;Tž©
Ÿ [¼[·[· nš[¦
¤T
”[”X¢kžKŸ„£
›
¤%œµž®­k—„Ÿ
¤`§®¡k¨\œ®²„–[•[–›­k—¥‹§A­k—¥`¨\œ
”[”±¥
›kž©
¦mªK˜
¤¥;[²¼¤ ;ª[´ A¤¥;
”[
” 6²]³® [ „™T—„»
¤„˜
¤T²¼`§®¡³d½%³[¹®²„–YžK¢
¼¹µ¨\œ
”[”n—[½„ —¥[¥;²„–„¤„¢
¼`§²]³®]³[¹®²„–YžK¢
¼%¹[³d½k¨\œ
”[”X˜„°T½„ [˜
¤„¦Y²„–„¤„¢
¼`§Y¹b°¹[³®²]³®]³d½;¨\œ
”[”X˜[»
½„ [˜
¤„¦Y²„–„¤„¢
¼`§Y¹A»¹[³®²]³®]³d½;¨\œ
”[”X˜[˜
½„ [˜
¤„¦Y²„–„¤„¢
¼`§Y¹A˜¹[³®²]³®]³d½;¨\œ
”[”n—[¼„ —¥[¥;²„–„¤„¢
¼`§²]³®]³[¹®²„–YžK¢
¼%¹[³d¼k¨\œ
”[”X˜„°T¼„ [˜
¤„¦Y²„–„¤„¢
¼`§Y¹b°¹[³®²]³®]³d¼;¨\œ
”[”X˜[»
¼„ [˜
¤„¦Y²„–„¤„¢
¼`§Y¹A»¹[³®²]³®]³d¼;¨\œ
”[”X˜[˜
¼„ [˜
¤„¦Y²„–„¤„¢
¼`§Y¹A˜¹[³®²]³®]³d¼;¨\œ
”[”n—;´K —¥[¥;²„–„¤„¢
¼`§²]³®]³[¹®²„–YžK¢
¼%¹[³µ´
¨\œ
”[”X˜„°¯´K [˜
¤„¦Y²„–„¤„¢
¼`§Y¹b°¹[³®²]³®]³µ´[¨\œ
”[”X˜[»k´K [˜
¤„¦Y²„–„¤„¢
¼`§Y¹A»¹[³®²]³®]³µ´[¨\œ
”[”X˜[˜k´K [˜
¤„¦Y²„–„¤„¢
¼`§Y¹A˜¹[³®²]³®]³µ´[¨\œ
”[”X¢kžKŸ„£
›
¤%œ®²„–[•[–›­k—¥‹§b­k—¥¯¨\œ
”[”9£[š[¥Y•[–¦]§,¼%³d¼%³µ´[¨\œµž®­k—„Ÿ
¤`§®¡k¨\œ
”[”9£[š[¥Y•[–¦]§,¼%³d¼%³d¼;¨\œµž®­k—„Ÿ
¤`§,—;(´ .„¼k¨\œ
”[”9£[š[¥Y•[–¦]§,¼%³d¼%³d½;¨\œµž®­k—„Ÿ
¤`§,—[¼ .º¯¨\œ
”[”9£[š[¥Y•[–¦]§,¼%³d¼%³Aºk¨\œµž®­k—„Ÿ
¤`§,—[½ .„·k¨\œ
”[”±¥
›kž©
¦mªK˜
¤¥;[²¼¤ ;ª¼ A¤¥;
”[”ž®­;Ÿ
½„ A—[½ .„·%³A˜„°T½ 0„¼%œA˜[»
½ 0„¼%³A˜[˜T½ 0„¼ œ
”[”ž®­;Ÿ
¼„ A—[¼ .º³A˜„°T¼ 0„¼%œA˜[»
¼ 0„¼%³A˜[˜T¼ 0„¼ œ
”[”ž®­;Ÿk´K A—;(´ .„¼%³A˜„°¯(´ 0„¼%œA˜[»k(´ 0„¼%³A˜[˜¯(´ 0„¼ œ
”[”X¢kžKŸ„£
›
¤%œ®²„–[•[–›­k—¥‹§b­k—¥¯¨\œµž®­k—„ŸT¤`§žµ­;Ÿ
½;¨`œb¥
›kžK©
¦ ªK˜
¤¥;[²¼¤ ;ª½A¤¥;
”[”X¢kžKŸ„£
›
¤%œ®²„–[•[–›­k—¥‹§b­k—¥¯¨\œµž®­k—„ŸT¤`§žµ­;Ÿ
¼;¨`œb¥
›kžK©
¦ ªK˜
¤¥;[²¼¤ ;ªKº9A¤¥;
”[”X¢kžKŸ„£
›
¤%œ®²„–[•[–›­k—¥‹§b­k—¥¯¨\œµž®­k—„ŸT¤`§žµ­;Ÿk´[¨`œb¥
›kžK©
¦ ªK˜
¤¥;[²¼¤ ;ªA¤¥;
”[”n—„›
¼„ „™
›Y²„–„¤„¢
¼`§Y¹d—%¹[³®²]³®]³[¹®²„–YžK¢T¼%¹[³®¼;¨\œ
”[”X˜„°
›
¼„ „™
›Y²„–„¤„¢
¼`§Y¹b°¹[³®²]³®]³[¹®²„–Yž¢
¼%¹T³d¼;¨\œ
”[”X¢kžKŸ„£
›
¤%œµž®­k—„Ÿ
¤`§,—„›
¼;¨\œ®²„–[•[–›­k—„¥‹§b­\—¥¯¨\œA¥
›kž©T¦«ªK˜
¤¥;[²¼¤ ;ªA¤¥;
”[”X¢kžKŸ„£
›
¤%œµž®­k—„Ÿ
¤`§®˜„°
›
¼ 0Y´ ;¨\œ®²„–[•
–›­\—¥‹§b­¯—¥¯¨\œA¥
›kžK©
¦«ªK˜
¤¥;[²¼¤ ;ªA¤¥;
”[
” 4›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž©
”[”X¡[›
¤T²Ž „™T—„»
¤„›
¤T²¼`§²]³®]³[¹®²„–YžK¢
¼%¹¨\œ
”[”X¢kžKŸ„£
›
¤%œµž®­k—„Ÿ
¤`§®¡[›
¤T²T¨\œ®²„–[•[–›­¯—¥‹§d­k—¥¯¨`œb¥
›kžK©
¦ ªK˜
¤¥;[²¼¤ ;ª· A¤¥;
i:€
' (!
10
50
20
30
100
40
150
50
60
200
70
80
250
50
100
150
200
250
10
20
30
40
50
60
70
80
20
50
40
100
60
80
150
100
200
120
250
140
20
40
60
80
100
120
140
50
50
50
100
100
150
150
200
200
250
100
150
200
250
250
50
100
150
i r9^„U*dS/9X-,SGBD7835S/<b13?451
200
250
50
100
150
200
250
d:S/<HBV3D45@Hd 357FSG<l±-nIe@HBD7F1 @n45B<H7OSG1 6(@p>A145U BDS/Ie@A3D7eS/<2.
[G~&G)+&/[ Ž ƒHˆ2]*[ %ˆ+ )T
^]*!aˆ‹%$*)+!, [=~[=&G!a'] :~%&/ )‹!a}#‡†F%''[|)ƒ a[ˆ+%
]*)+[^%$~];')a[^ƒn% #'[C
^] !,ˆ+% )‹!a * i1 d3D@n1 4\I y 6/<H6(IetABV113‡Ie6K451 dSG<HBV3D45@Hd 357FSG<j>A1„I‹y 7F9q6/E/1$ E=6~3DIe7e<2. 9q6(3 ÇlI‹y 6(7h>A1?>A1*B >n6/@UnIe135B
1+‹L 3?l„354DSG7eB<HO7 SG1 6(@ pu>A14DU*BVSGIF@A357FSGÀ
< +~6 ld xn1 4Ie6K>AU d:S/X9 -,SGBD78357FSG<P1:3 4D1*dS/<aBR354D@n7e45`1 +"dS/9X-H6/4D1 4
Ie1|BV7eE/<H6/IS/457FEG7F<H6/I13?Ih6P451 d:S/<HBV3D45@Hd3D7eS/À< +AdSG<HdIe@n451/.
0$6wU,S¯jh3D1ŠluSG@A3D7eIhB-,1:459;13>A1d xnS/7hBD7F4pIe6P9q6(<n7ei:451BV1 IFSG< Ih6`5=@n1:IeIe1„I y 7e9q6(E/1BD1:4 6udSG9X-nIFU:3DU 1
,1:<H>n6/<=3Ih635456/<HBVQTS/459;6(3D7eS/< 6\:H<>n1 Ie7F9;7F3D1 4IF1*B‡1Ti,1:35B>A17U,S/4 >nBp1:< @n3D7eIF7hBD6/<=3pIh6|QTSG<Hd 357FSG<
G' 6#. I1Tp^7hBV3D1n5=@H6~354D1j9;U3DxHS^>n1 B>zy 1
p^3D1 <HBV7eS/<aB75=@n1;<nSG@HB6(IeIFSG<HB>AU3 6(7eIFIe1:49q6(7e<=3D1Th
<H6/<G3*.
* p^3D1 <HBD7FSG¬
< l* U:45S c
-
[ 'ˆ‹[‰ *[^]*)+!, #\†e%'[C)ƒ a[ƒa[^&C#[^]
G~!,] "!$#
&%('*),+.-/1021'43567)(85)9+;:.=<79!#
>0/?='4@35(0A)9'),+*),+;:.1<7)8=!$#
CB,D0ED'4;D0A(0A),+B.5FD04 )HG4!!!#
^3D1 <HBD7FSG<BDt^9;U3D457b5G@H1±c
* p
i*g
[ 'ˆ‹[ *[^]*)+!, #\†e%'[C)ƒ a[ ƒA] =:~)+[
9+.: "!$#
&%('*),+.-/1021'43567)(85)9+;:.=<79!#
>0/?='4@35(0A)9'),+*),+;:.1<7)8=!$#
CB,D0ED'4;D0A(0A),+B.5FD04 )HG4!!!#
^3D1 <HBD7FSG<-H4DSGE/451 B5BV7VS/1c
* p
[ 'ˆ‹[ *[^]*)+!, ~!H~[^] ]*),[C#\†e%'[C) ƒa[
9+; "!$#
&%('*),+.-/1021'43567)(85)9+;:.=<79!#
>0/?='4@35(0A)9'),+*),+;:.1<7)8=!$#
CB,D0ED'4;D0A(0A),+B.5FD04 )HG4!!!#
^3D1 <HBD7FSG<-,U:457eS^>n7V5=@n1>A1I y 7e9q6(EG1±c
* p
[ 'ˆ‹[
A m ‚=")‹#)‹] ƒn )+!, #\†e%'[C) ƒa[
I?1Tp^7hBV3D1C>n6(<aB;Ie6ÆU,S¯jh3D1mlS/@n3D7eIeB;@n<H1C1
p^3D1 <HBV7eS/< -,U:457FSA>A7hBVU 1C>A1CIe6 35456/<HBRQTSG4D9q6(3D7eS/< 1 <
@A357FIe7eB56(<=3„Ie1 B?QTS/<Hd3D7eS/<HB > Ž3 -,1:;4 +a> Ž3 -,1:4 M +H7h> 3 -a1 4„13K7e> 3Ž-,1:4 MA.H0$1|IF1*d 351:@n4KdS/@H456/E/1:@p
BD1:4 6u1 <b9;1*BV@n451>A1Ie1 Bp3D1*BR351:24 -H6/4IF@Hf7 h`X9 8:9;1/.
!
ik
Xp b p2'
021-n457F<Hd:7O-,1>n1lIe6}3D4 6(<HBVQTS/459q6~357FSG< 1 < -H6]5G@H135BP>zy S/<H>A1 IF1:3V351 BP1 BV3P>AS/<H<nU 1 <«:HE/@H4D1 ŒAŒ .
0$6P>AU d:S/9X-,SGBD78357FSG<l1:<-H6`5=@n1:35B>zy S/<H>A1 IF1:3V351 Bp1 BV3‡Ih6uEGU:<nU 456/IF7hB56~3D7eS/<q>A1KIh6P>AU*dSG9±-,SGBD7F3D7eS/<
9u@HI8357F45U BDS/Ie@A3D7eS/<$.as d xH6`5=@n1|<HO7 SG1 6(@}>n1u45U BDS/Ie@A3D7eS/À< +aI‹y \6 -¿-n4DkS pA7e9q6~3D7eS/<C1:3 Ie1 BK>AU3 6(7eIeBKBDS/<=3
>AU*dS/9X-,SGBDU B .=0635456/<HBRQTSG4D9q6(3D7eS/<q1:< -H`6 5=@n1:35B>zy S/<H>n1:Ie13V351 B‡QTS/@H4D<n7F3 h ! Q+6 :S/<b>A1K>nU dSG±9 h
-,SGBD1:4l@n< BD7eE/<H6/I„6(IeS/4 n
B 5=@n1CI‹y 6(<a6(Iet^BD1C1:< SG<H>A1 IF1:3V3D1*Bq<2y 1:< >ASG<n<H6/783 5=@n1 [& . R 1:3V351
3D4 6(<aBRQTSG4D9q6~357FSG< 1*BR3l451 >ASG<H>n6/<G3519;6/7eB;`S i,451CIe1}d xnS/O7 p >A1CIh64DY1 -n45U BD1:<=356(3D7eS/< >n @ BD7eE/<H6/I
BD1:IeS/<b@n<Cd457835i:451>2y 1 <G354D]S -n7e1K>ASG<n<nUG.
ii
¾
4D7e<Hd:7O-,1|>A1I y 6/<H6(IetABV1K1:<¬-H6]5G@H135B>2y SG<H>A1:Ie13D3D1*B:.
I1
pA7hBR351b>n1
BjQTS/<ad 3D7eS/<aBj>n135456/<HBVQTS/459;6(3D7eS/<1 < -a6`5=@n13 B;>zy SG<H>A1 IF1:3V3D1*Bn5=@n72-a1 4D9;1:3V3D1 <=3
>zy 1
i1 d3D@n1 4KIe1 Bd 6(Ihd@nIhB„9q6/<=@H1:IeIF1 9j1 <=3 . R 1T-,1:<H>H6(<=3Y+7eI'1*BR3.-n45UQTU 456`UnIF1w-aSG@n4>A1 BK4 6(7hBVSG<HB
>A1Q+6Gd7eIF7F3DU>zy @A3D7eIe7eBD1:4?Ie1 BpQTSG<Hd 357FSG<HB?>zy 6(<a6(Iet^BD1KE/4 6\-nxn7b5=@n1 B .
/. .wz (…„†VxO†OK~k…[†‡ƒ‹€wˆ%t_xd‡†O€\…Žt;|Ž‚A~\
t"‘`|~\v"!†#‹Œ‹t.ˆM ~`€‹~`x %Kt7t;€v%~$#‹Œ‹tT…aˆM ƒ‹€%ˆ%t;xft
……tY
“
qsr]tkuwvxft
,
”[”±™T—„»
¤K­k¤©[£
!
i(
i*M
i L
0219;1:<^@C>A1I y SG@A3D7eIzE/4 6\-nxH7V5=@n1S/<a>A1:Ie13D3D1 B .
021*Ba-H6`5=@n1:35B>zy S/<a>A1:Ie13D3D1 Bi >9h\d xH6(45E/1 9j1 <=3>zy @n<CBD7FEG<H6(I .
i
i:€021*Ba-H6`5=@n1:35B>zy S/<H>n1:Ie13V351
B i*>9h 1 <CdS/@H45B>zy 6(<H6/IFtABD1/.
i*g 20 1*B2-H6`5=@n1:35B>zy S/<a>A1:Ie13D3D1 B?M/>h\d xH6(45E/1 9j1 <=3>zy @n<n17e9q6(EG1/.
i
i k
021*Ba-H6`5=@n1:35B>zy S/<a>A1:Ie13D3D1 B M(>9h 1:<CdSG@n45B>zy 6(<a6(Iet^BD1;.
M(r
b bp2
oS/@A351 QTSG<Hd 357FSG< 5=@n7?B56~357eBVQ+6(7F3jIh6 dS/<a>A78357FSG< >zy 6/>n9j7hB5BV7VUn7eIF7F3DU¬-,1:@A3n8354D1Cd xnSG7eBD7e19-,S/@n4;Ih6
3D4 6(<aBRQTSG4D9;U:1 1:<bS/<H>n1:Ie13V351 B .ns?7e<HBD72d xH6/d:@n< 1*BR3?d:6`-H6\UHIF1>A1d45U:1:4BD1 BÇ-n45S`-n451 B‡S/<a>A1:Ie13D3D1 B
1:<bQTSG<Hd 357FSG<b>A¬@ -n45`S UHIFi 9jŠ1 lP3D4 6(7F3D1 4 .
0$46 Ua\S je35w1 lqSG@A3D7eIeB k6 S/1:Ie13 BQTS/@H4D<n7F3„@n< 1:<HBD1:w9 UnIF1j>A1QTSG<Hd 357FSG<HB >2y SG<H>A1:Ie13D3D1*B„dIh6/B5BDV7 5=@n1*B
5=@n7$>ASGO7 SG1:<=a
3 -a1 4D9;13D3D451|>A145U BDS/@H>A451K@n<EG456/<H><nS/w9 Un4D1>AŠ1 -n45`S UHIFi 9j1*B:.
qsr]tkuwvxftwz ‰]~`uX†VxOxftYˆM ƒ‹€%ˆ%t;xft
……tYaˆ%t ~k…[x‡~M“
”[”±™T—„»
¤K­Y©
Ÿ[›]§Y¹A›
¤[—„˜¹[³µ´[¨\œ
—©;± [ [—[ [—„› [ [ [ [ [ [ [ [ [ [ [ [ [ [°T [—[ [—„ [› [ [ [ [ [ [ [ [ T [ [ [ [ [—£[ [šT [ [¤T [²°¯ [ [ž [¤T [ [ [ [ [ [ [ [˜„ [š [ [ [ [ [ [ [ [ [ [ T [ [ [ ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª
ª[ª[ª[ª
ª[ª
˜„š¯´_˜„šT¼n˜„šT½4˜„š
º4˜„š 4
˜„š n ˜„š 4 ˜„šT·n˜„š
˜„š¯´¸
˜„/š 0'0
[ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ T [ [ [ ­¯•„¤„¦Y
 ­
ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª
ª[ª[ª[ª
ª[ª
 ­k¼
 ­k½
 ­;º
 "­  "­  ­"
 ­k·
 ­ 0'0
[ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ T [ [ [ –YžK¢T•„¤„¦Y
²„–YžK¢
ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª
ª[ª[ª[ª
ª[ª
²„–YžK¢k´ ²„–YžK¢
¼ ²„–YžK¢
½ ²„–YžK¢[º¬²„–YžK¢ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ T [ [ [ kžŽ–› ¥Y•Yž©T¤T
š¯žŽ–›
ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª
ª[ª[ª[ª
ª[ª
š¯žŽ–›k´ ,´_š¯žŽ–›k´ A½4š¯žŽ–›k´ 4š¯žŽ–›
¼ A¼4š¯žŽ–›
¼bº4š¯žŽ–›
¼ 4š¯žŽ–›
¼A·nš¯žŽ–›
½,´
š¯žŽ–›
½ A½nš¯žŽ–›
½ 4š¯žŽ–›
½ 4š¯žŽ–›
½ š¯žŽ–›[9º bº4š¯žŽ–› 4š¯žŽ–› A·
[ [¤„»
[ [¤„›Y [ [ [¤ [k [žŽ [– [› [ [ [ [ [ [›„ [š¯ [žŽ [– [ [ [ [ [ [ [ [ T [ [ [ ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª
ª[ª[ª[ª
ª[ª
›„š¯žŽ–Y´ ,´w›„š¯žŽ–Y´ A½9›„š¯žŽ–Y´ 9›„š¯žŽ–„¼ A¼9›„š¯žŽ–„¼ bº9›„š¯žŽ–„¼ 9›„š¯žŽ–„¼ A·4›„š¯žŽ–„½ ,´
›„š¯žŽ–„½ A½4›„š¯žŽ–„½ 9›„š¯žŽ–„½ 9›„š¯žŽ–„½ ›„š¯žŽ–9º bº9›„š¯žŽ– 9›„š¯žŽ– A·
[ [¤ [ [¤„› [ [ [ [ [ [ [ [ [ [ [ [ [­k [¤ [[ [› [ [ [ [ [ [ [ [ T [ [ [ [ [ [¤ [ [¤„ [› [ [ [ [ [ [ [ [ [ [ [˜ [­k [¤ [ [ [ [ [ [ [ [ [ T [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ T [ [ [ —£;[Tž—©
Ÿ
—£;
ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª[ª
ª[ª[ª[ª
ª[ª
Ÿ
—£;T´ Ÿ
—£;¼ Ÿ
—£;½ Ÿ
—£;Žº9Ÿ
—£;$ Ÿ
—£;$ Ÿ
—£;$ Ÿ
—£;·4Ÿ
—£;
[ [¤ k [ [ž [² [—© [ [Ž°T [ [—„ [¦ [ [ [ [ [ [­k [¤ [„ [° [ [ [ [ [ [ [ [ T [ [ [ [ [–›T [ [•„ [¤„ [¦ [ [ [ [ [ [ [ [ [ [ [­¯ [– [›T [• [ [ [ [ [ [ [ [ T [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ T [ [ [ )
0'0
S/7hd7$Ie6jIe7eBV3D1>A1*BS/<H>n1:Ie13V351 Ba-n45U BD1:<=351 B>n6/<HBIe6±U,S¯jh3D1ljS/@n3D7eIeBŠc
021 BSG<H>A1 IF1:3V3D1*B?>A1„6G6(4y xH6/6/4 Vy +
021 BSG<H>A1 IF1:3V3D1*B?>AŠ1 ^K6(@ U,1 d xn7e1 B|y > Uuy ] à * +
021 BBDt^9;IF1:35By BVt^9uy ] hà +
021 B R SGf7 Ña135By dSG78QPy ] Ã +
021 BBŽ-nIe7F<H1 B2Un7eS/4D3DxHS/E/SG<H6(Ie1 B y Un7FSG4 y
]! #" Ã #" $ Ã %" Ãh " hÃh " & Ãh " ' Ãh " Ã $" Ã $" $ Ã $" % Ã $")( Ã $" * Ã &" & Ã+ " %Ã '" -, +
Mi
021 BŽB -nIe7F<H1 B2Un7eS/4D3DxHS/E/SG<H6(Ie1 B‡7e<‹SG1:4 BV1*B„y 4Un7FSay
]! #" Ã #" $ Ã %" Ãh " hÃh " & Ãh " ' Ãh " Ã $" Ã $" $ Ã $" %Ã $")( Ã $" * Ã &" & Ã+ " %Ã '" -, +
021 BSG<H>A1 IF1:3V3D1*B?>A1{C1 t/1:4y 9;1:t^4*yA13|y >A9;1:tyO+
021 BE=6(@HB5BD7F1 <n<n1 BKy EG6/@HBDBuy ] Ã +
021d xH\6 -,1 6/@9;1Tp^7hd:6/7F< y 9j1TpAx2yO+
IF1*BS/<H>A1 IF1:3V351 B?>A1{CSG4DIe13y 9;S/45I‹ye.
¾ S/@n4`S UA351:<n7e4>A1 B 7F<AQTSG4D9q6(3D7eS/<H9
B -nIF@a9B -n45U d:7eBD1 BBV@H4@n<H1}Q+6(9;7eIFIe1 >2y SG<H>A1:Ie13D3D1*BT+p7FI Q+6(@n3
@A357FIe7eBD1:4Ih6jQTS/<ad 3D7eS/< ! ld:S/9;9;17F<H>nV7 5=@nU|>n6/<HBI y T1 p^1 X9 -nIF1 H.
qsr]tkuwvxft4z K €‹‚Aƒ`|[uw~k…„†fƒ]€%ZŒ%|"Œ€‹tŠ‚A~`uX†OxVxft"ˆM ƒ‹€%ˆ%t;xft
……tYaˆ%t
~k…[x‡~M“
”[”±™T—„»
¤;ž©
¢T–\§Y¹® ­M¹µ¨\œ
©
¢T–›­k—„¦kžŽ–Ž©0–Ž©4©T¤[—„›¬ ­[­k¤„¦[›kž²X™T—„»
¤
•„¤„¦Y ­¯•„¤„¦YT —„»
¤
•„¤„¦Y
¤©T¤„›
—
•²°T—„›
—T²Ž¦
¤„›kžŽ¦kž²[‹¶/
–­Y¥T—T²Ž¦T• m
£[¥[¥Y–›[¦
¤„˜™T—„»
¤
•„¤„¦Y±™¯žK¦„°
•„¤[—TŽ¦—T[ ­k¤„¦[›
—©
˜n°¯žKŸ„°T¤TŽ¦9©[£Ž­YšT¤„›–¢4»
—©¯ž°¯ž©
ŸX­¯–­k¤©
¦Y
¢T–›9—4ŸkžK»
¤©¬£[¥[¥Y–›[¦9™¯žK˜[¦„° Y[„–
²Tž—„¦
¤„˜ [²—
•Yž©
Ÿ9¢kžŽ•¦
¤„›Y9—„›
¤X©T¤[—„›•Yž©T¤[—„›kª¥[°T—T¤¢kžŽ•¦
¤„›Y —K­]žŽ• ­¯•„¤„¦Y
 °Y–›[¦9©T—K­k¤
 ­
›[˜
¤„› 9¼%³"½%³ —K­Y¥Y•„¤T
 ­k¼%³7 ­k·
›[¦„°Y–ŸT–Ž©T—
•
¤T
k žŽ–›[¦„°Y–ŸT–Ž©T—
•
¤T
–­Y¥T—T²Ž¦m£[¥[¥Y–›[¦
¤T
¥Y–
[TžšY•„¤
¥Y–
[TžšY•„¤
 £[¥[¥Y–›[¦9™¯žK˜[¦„°
¼ ª[´
žŽ•¦
¤„›Y9•„¤©
Ÿ[¦„°
¼
¤„Ÿ„£Y•„—„›kžK¦
­[­k¤„¦[›
©T¤[—„›4¢[›T–­
£Ž­YšT¤„›¬–¢4»
—©¯ž°¯ž©
Ÿ
­¯–­k¤©
¦Yn¢T–›n¥;Tž
¤„¢
¤„›
¤©;²¤¶ —£[šT¤T²°¯ž¤T]³
¤©•„¤T²Ž¦„£
›
¤T–Ž©4™T—„»
¤
•„¤„¦Y]³
% ³ ³ ;´\³´ º³Š´ ºkª¼[¸[¼
021*B>A7Oi,U 4D1 <G351 BpQTSG<Hd 357FSG<HB?>A1Ih6j3DS^S/IVUaSkp BDS/<=37e<G351:454DSGE/1*6\UnIe1 B-H6(4I y 6(7h>A1/.
qsr]tkuwvxft4z s
 ~`†fˆ%t.ˆ%t
~k…[x‡~Xt;…"Œ€‹tŠtTr%[t;xVxft;€\…ŽtŠKƒ]Œ%|„[tŠˆM‡†O€‹‚Aƒ]|„uw~k…[†‡ƒ]€%
“
”[”±°T¤
•Ž¥4™T—„»
¤
•„¤„¦
T—„»
¤
•„¤„¦T–[–[•ŽšY–$9
¤„›YTžŽ–Ž© ´ A ¼ § ´[´[¨9´¸;ª£Y•Yª[´ ·
[°T—„¦¹®w©T¤™ ¤[—„˜­k¤ ª ¤™9¢
¤[—„¦„£
›
¤T]³Wš[£
Ÿ4¢kž ¤T]³W—©
˜¬²°T—©
Ÿ
¤Tž©9¦„°¯ž±»
¤„›YTžŽ–Ž© T –X˜kž¥Y•„—
¦„°T¤ ¤[—„˜­k¤4¢kžŽ•„¤n¢T–› ¤„›YTžŽ–Ž©0´ A¼%³"¦„¥T¤
™[°T—„¦Y©T¤™9™T—„»
¤
•„¤„¦ ž©9¦„°T¤ m
²„–­[­k—©
˜4™¯ž©
˜T–Ž™ M/M
T—„»
¤
•„¤„¦T–[–[•ŽšY–$ § ›
—¥[°¯ž²—
• ¤„› ©
¦
¤„›[¢
—T²¤;¨ ™T—„»
¤K­k¤©[£
ª —£[©;²°¯ž©
Ÿ¥Y–Yž©
¦4¢T–›4¦„°T¤mž©
¦
¤„›
—T²Ž¦kžK»
¤ T —„»
¤
•„¤„¦  T—„»
¤
•„¤„¦Y ¤©T¤„›
—
• š¯žŽ–›[¢kžŽ•¦
ª k žŽ–›[¦„°Y–ŸT–Ž©T—
•9™T—„»
¤
•„¤„¦9¢kžŽ•¦
¤„›m¤„¦9
˜
—„˜[˜T–Ž™[©
ª —„˜kž²X˜T–Ž™[©;—K­Y¥Y•Yž©
Ÿ9
˜
—„˜„£[¥
ª —„˜kž²±£[¥;—K­Y¥Y•Yž©
Ÿ9
ž©
¦„™T—„»
¤
ª ©
¦
¤„Ÿ[›
—„¦
¤9™T—„»
¤
•„¤„¦9¢„£[©;²Ž¦kžŽ–Ž©9¥;Tž –›[¦„°
¢kžŽ•¦
ª ›[¦„°Y–ŸT–Ž©T—
•4™T—„»
¤
•„¤„¦9¢kžŽ•¦
¤„›¬¤„¦9
ªŽ£T—„˜[›
—„¦„£
›
¤X­]žK›[›T–›9¢kžŽ•¦
¤„›9
­;¢
™T—„»
¤„¢„£[©
ª T —„»
¤
•„¤„¦—©
˜¬[²—
•Yž©
Ÿ9¢„£[©;²Ž¦kžŽ–Ž©; ™T—„»
¤K­Y©
Ÿ[›
ª T —„»
¤
•„¤„¦±­k—©T—„Ÿ
¤„›9
™
¢kžŽ•¦
¤„›Y
ª T —„»
¤
•„¤„¦9¢kžŽ•¦
¤„›Y ™Ž­k—T•„¤„»
ª —kž®­Y£Ž­¬™T—„»
¤
•„¤„¦˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž©0•„¤„»
¤
• T—„»
¤
•„¤„¦ —K­]žŽ•Yž¤T š¯žŽ–›„™T—„»[¢
ª k žŽ–›[¦„°Y–ŸT–Ž©T—
•m¥Y•Yž©T¤X™T—„»
¤
•„¤„¦¢kžŽ•¦
¤„›Y ²„–YžK¢„™T—„»[¢
ª –YžK¢T•„¤„¦Y±™T—„»
¤
•„¤„¦¢kžŽ•¦
¤„›Y ˜„šT—£ ª —£[šT¤T²°¯ž¤Tn™T—„»
¤
•„¤„¦9¢kžŽ•¦
¤„›Y9²„–­Y¥[£
¦
—„¦kžŽ–Ž© ˜„š[™T—„»[¢
ª —£[šT¤T²°¯ž¤Tn™T—„»
¤
•„¤„¦9¢kžŽ•¦
¤„›Y Ÿ
—£;™T—„»[¢
ª —£;[Tž—©9™T—„»
¤
•„¤„¦Y ­k¤kž°T—„¦
ª ¤kž²—©9°T—„¦4™T—„»
¤
•„¤„¦9
­k¤
¤„›
ª ¤
¤„›4™T—„»
¤
•„¤„¦9
­k¤
¤„›
—£ ª ¤
¤„›4™T—„»
¤
•„¤„¦—£ kžŽ•Yž—„›
¢„£[©;²Ž¦kžŽ–Ž© ­¯–›T•„¤„¦
ª –›T•„¤„¦4™T—„»
¤
•„¤„¦9
›„š¯žŽ–Ž™T—„»[¢
ª ¤„»
¤„›Y¤ k žŽ–›[¦„°Y–ŸT–Ž©T—
•m¥Y•Yž©T¤4™T—„»
¤
•„¤„¦9¢kžŽ•¦
¤„›Y  ­k—£ ª ­¯•„¤„¦Y±™T—„»
¤
•„¤„¦¢kžŽ•¦
¤„›Y²„–­Y¥[£
¦
—„¦kžŽ–Ž©  ­Y™T—„»[¢
ª ­¯•„¤„¦Y±™T—„»
¤
•„¤„¦¢kžŽ•¦
¤„›Y –Ž©
¦kž©[£Y–Ž£; T —„»
¤
•„¤„¦¶Š´[ª ²™
¦
ª –Ž©
¦kž©[£Y–Ž£;n™T—„»
¤
•„¤„¦¬²„–„¤„¢[¢kž²Tž¤©
¦Y ´[ª ž[²Ž›
¤„¦
¤ T —„»
¤
•„¤„¦Y‹¶´[ª —¥[¥;²„–„¤„¢
ª [¦[›
—T²Ž¦ ´[ª —¥[¥
›T–$kž®­k—„¦kžŽ–Ž©0²„–„¤„¢[¢kž²Tž¤©
¦Y ˜
¤„¦Y²„–„¤„¢
ª [¦[›
—T²Ž¦ ´[ª ˜
¤„¦
—;žŽ•²„–„¤„¢[¢kž²Tž¤©
¦Y ˜„™
¦
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•˜kž[²Ž›
¤„¦
¤m´[ª ™T—„»
¤
•„¤„¦¦[›
—©;Ž¢T–›­,
˜„™
¦„¥T¤„›
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•˜kž[²Ž›
¤„¦
¤m´[ª ™T—„»
¤
•„¤„¦¦[›
—©;Ž¢T–›­ §6¥T¤„›kžŽ–˜kž
¤„˜k¨ ˜„™
¦­¯–˜
¤
ª ž[²Ž›
¤„¦
¤n™T—„»
¤
•„¤„¦¦[›
—©;Ž¢T–›­ ¤[¦
¤©;TžŽ–Ž©4­¯–˜
¤
žK˜„™
¦
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•0ž©
»
¤„›Y¤4˜kž[²Ž›
¤„¦
¤ ´[ª ™T—„»
¤
•„¤„¦¦[›
—©;Ž¢T–›­,
žK˜„™
¦„¥T¤„›
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•0ž©
»92
˜kž[²Ž›
¤„¦
¤m´[ª ™T—„»
¤
•„¤„¦9¦[›
—©;Ž¢T–›­ §6¥T¤„›kžŽ–˜kž
¤„˜k¨ £[¥;²„–„¤„¢
ª žK›
¤T²Ž¦9›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž©m¢[›T–­ ´[ª ™T—„»
¤
•„¤„¦¬²„–„¤„¢[¢kž²Tž¤©
¦Y £[¥[™Y•„¤„»
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž©0–¢m´[ª ™T—„»
¤
•„¤„¦9˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž© ™T—„»
¤„˜
¤T²
ª £Y•¦kž[ªŽ•„¤„»
¤
• ´[ª ™T—„»
¤
•„¤„¦˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž© ™T—„»
¤„›
¤T²
ª £Y•¦kž[ªŽ•„¤„»
¤
• ´[ª ™T—„»
¤
•„¤„¦›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž© ™
›Y²„–„¤„¢
ª ¤T²„–Ž©;Ž¦[›„£;²Ž¦ Tž©
ŸT•„¤nš
›
—©;²°¢[›T–­«´[ª ™T—„»
¤
•„¤„¦¬²„–„¤„¢[¢kž²Tž¤©
¦Y ž[²Ž›
¤„¦
¤ T —„»
¤
•„¤„¦Y‹¶W¼;ª —¥[¥;²„–„¤„¢
¼
ª [¦[›
—T²Ž¦¼;ª —¥[¥
›T–$kž®­k—„¦kžŽ–Ž©0²„–„¤„¢[¢kž²Tž¤©
¦Y ˜
¤„¦Y²„–„¤„¢
¼
ª [¦[›
—T²Ž¦¼;ª ˜
¤„¦
—;žŽ•²„–„¤„¢[¢kž²Tž¤©
¦Y ˜„™
¦
¼
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•˜kž[²Ž›
¤„¦
¤9¼;ª ™T—„»
¤
•„¤„¦¦[›
—©;Ž¢T–›­,
˜„™
¦„¥T¤„›
¼
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•˜kž[²Ž›
¤„¦
¤9¼;ª ™T—„»
¤
•„¤„¦¦[›
—©;Ž¢T–›­ §6¥T¤„›kžŽ–˜kž
¤„˜k¨ ˜„™
¦­¯–˜
¤
ª ž[²Ž›
¤„¦
¤n™T—„»
¤
•„¤„¦¦[›
—©;Ž¢T–›­ ¤[¦
¤©;TžŽ–Ž©4­¯–˜
¤
žK˜„™
¦
¼
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•0ž©
»
¤„›Y¤4˜kž[²Ž›
¤„¦
¤¼;ª ™T—„»
¤
•„¤„¦¦[›
—©;Ž¢T–›­,
žK˜„™
¦„¥T¤„›
¼
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•0ž©
»92
˜kž[²Ž›
¤„¦
¤9¼;ª ™T—„»
¤
•„¤„¦9¦[›
—©;Ž¢T–›­ §6¥T¤„›kžŽ–˜kž
¤„˜k¨ £[¥;²„–„¤„¢
¼
ª žK›
¤T²Ž¦9›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž©m¢[›T–­m¼;ª ™T—„»
¤
•„¤„¦¬²„–„¤„¢[¢kž²Tž¤©
¦Y £[¥[™Y•„¤„»
¼
ª ; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž©0–¢9¼;ª ™T—„»
¤
•„¤„¦9˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž© ™T—„»
¤„˜
¤T²¼
ª £Y•¦kž[ªŽ•„¤„»
¤
•¼;ª ™T—„»
¤
•„¤„¦˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž© ™T—„»
¤„›
¤T²¼
ª £Y•¦kž[ªŽ•„¤„»
¤
•¼;ª ™T—„»
¤
•„¤„¦›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž© ™
›Y²„–„¤„¢
¼
ª ¤T²„–Ž©;Ž¦[›„£;²Ž¦ Tž©
ŸT•„¤nš
›
—©;²°¢[›T–­0¼;ª ™T—„»
¤
•„¤„¦¬²„–„¤„¢[¢kž²Tž¤©
¦Y T—„»
¤
•„¤„¦Y
—T²T¤„¦Y T•ŸT–›kžK¦„°Ž­\ šT¤TŽ¦[¦[›
¤[¤
ª ¤TŽ¦4¦[›
¤[¤Æ§6™T—„»
¤
•„¤„¦4¥T—T²T¤„¦k¨ šT¤TŽ¦T•„¤„»[¦
ª ¤TŽ¦•„¤„»
¤
•4¦[›
¤[¤ §6™T—„»
¤
•„¤„¦9¥T—T²T¤„¦k¨ ¤©
¦[›„£[¥
˜
ª ©
¦[›T–Ž¥4
£[¥
˜
—„¦
¤Æ§6™T—„»
¤
•„¤„¦9¥T—T²T¤„¦k¨ ™T¤©
¦[›T–Ž¥
ª ©
¦[›T–Ž¥] §6™T—„»
¤
•„¤„¦¥T—T²T¤„¦k¨ ™[¥T¼™
¦[›
¤[¤
ª [¦[›
—T²Ž¦4™T—„»
¤
•„¤„¦¦[›
¤[¤4¢[›T–­™T—„»
¤
•„¤„¦9¥T—T²T¤„¦9¦[›
¤[¤
M(L
ª T—„»
¤
•„¤„¦4¥T—T²T¤„¦m²„–„¤„¢[¢kž²Tž¤©
¦Y ª £
¦n™T—„»
¤
•„¤„¦9¥T—T²T¤„¦9¦[›
¤[¤
ª T—„»
¤
•„¤„¦4¥T—T² T¤„¦˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž©Æ´[ª ª T—„»
¤
•„¤„¦4¥T—T² T¤„¦˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž© ¼;ª ª T—„»
¤
•„¤„¦4¥T—T² T¤„¦¢„£[©;²Ž¦kžŽ–Ž©; ª ¤T²„–­Y¥Y–
¤9™T—„»
¤
•„¤„¦4¥T—T² T¤„9¦ ª ¤T²„–Ž©;Ž¦[›„£;²Ž¦™T—„»
¤
•„¤„¦4¥T—T² T¤„¦¬²„–„¤„¢[¢kž²Tž¤©
¦Y
ª T—„»
¤
•„¤„¦4¥T—T² T¤„¦›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž©Æ´[ª ª T—„»
¤
•„¤„¦4¥T—T² T¤„¦›
¤T²„–Ž©;Ž¦[›„£;²Ž¦kžŽ–Ž© ¼;ª ª ¥Y•YžK¦Æ§®˜
¤T²„–­Y¥Y–
¤;¨±™T—„»
¤
•„¤„¦4¥T—T² T¤„9¦ ™[¥;²„–„¤„¢
™[¥;²£
¦[›
¤[¤
™[¥
˜
¤T²
™[¥
˜
¤T²¼
™[¥
¢„£[©
™[¥ –Yž©
™[¥
›Y²„–„¤„¢
™[¥
›
¤T²
™[¥
›
¤T²¼
™[¥;¥Y•¦
¤;ª©Y–YžTž©
Ÿ¬—©
˜ –­Y¥
›
¤T[TžŽ–Ž©¬¢T–› ;žKŸ„©T—
•
n—©
˜ ­k—„Ÿ
¤T ˜[˜
¤©;²µ­Y¥
ª ¤„¢
—£Y•¦9»
—
•Ž£T¤Tn¢T–›4˜
¤;ª©Y–YžTž©
Ÿm–›²„–­Y¥
›
¤T[TžŽ–Ž© ¦„°;¤
•„¤T²Ž¦
ª „°
›
¤T°Y–[•˜ ¤
•„¤T²Ž¦kžŽ–Ž©¢T–›9˜
¤;ª©Y–YžTž©
Ÿ9
™
˜Y²šŽ­
ª T—„»
¤
•„¤„¦ ´[ª ˜
¤©Y– "—©
˜²„–­Y¥ (£;Tž©
Ÿ kžK›[Ÿ
¤;ª —T[—„›[¦0Ž¦[›
—„¦
¤„Ÿ9
™
˜Y²šŽ­k¼
ª T—„»
¤
•„¤„¦¼;ª ˜
¤©Y– "—©
˜²„–­Y¥ (£;Tž©
Ÿ kžK›[Ÿ
¤;ª —T[—„›[¦0Ž¦[›
—„¦
¤„Ÿ9
™
˜
¤©
ª „£
¦T–­k—„¦kž²m´[ª ˜
¤;ª©Y–YžTž©
Ÿ9£;Tž©
Ÿ9™T—„»
¤
•„¤„¦Y ™
˜
¤©;²µ­Y¥
ª ¤;ª©Y–YžTž©
Ÿm–›²„–­Y¥
›
¤T[TžŽ–Ž©£;Tž©
Ÿ9™T—„»
¤
•„¤„¦Y ™[©Y–Yž¤
ª ¤©T¤„›
—„¦
¤n©Y–Yž 9™T—„»
¤
•„¤„¦9¦
¤TŽ¦˜
—„¦
—
™[©Y–Yž¤TŽ¦
ª Ž¦kž®­k—„¦
¤n©Y–Yž¤–¢m´[ª ™T—„»
¤
•„¤„¦m²„–„¤„¢[¢kž²Tž¤©
¦Y ™[¥
˜
¤©;²µ­Y¥
ª ¤;ª©Y–YžTž©
Ÿm–›²„–­Y¥
›
¤T[TžŽ–Ž©£;Tž©
Ÿ9™T—„»
¤
•„¤„¦4¥T—T²T¤„¦9
™[¥
¦„°;²„–„¤„¢
ª T—„»
¤
•„¤„¦4¥T—T²T¤„¦m²„–„¤„¢[¢kž²Tž¤©
¦Y9¦„°
›
¤T°Y–[•˜kž©
Ÿ9
™
¦„°;²„–„¤„¢
ª T—„»
¤
•„¤„¦¬²„–„¤„¢[¢kž²Tž¤©
¦Y9¦„°
›
¤T°Y–[•˜kž©
Ÿ ´[ª ™
¦„°;²„–„¤„¢
¼
ª T—„»
¤
•„¤„¦¬²„–„¤„¢[¢kž²Tž¤©
¦Y9¦„°
›
¤T°Y–[•˜kž©
Ÿ¬¼;ª ª ¤„›[¢T–›­ „–¢[¦¬–›X°T—„›[˜9¦„°
›
¤T°Y–[•˜kž©
Ÿ9
™
¦„°
›
¤T°
—©T—„Ÿ
¤K­k¤©
¦
— •[•Ž©Y–˜
¤T
ª
˜
¤¥Y–„¼;ž©
˜
ª
ž©
˜
¼„˜
¤¥Y–
ª
ž©Y–˜
¤
ª
žŽ¦„©Y–˜
¤
ª
•„¤[—„»
¤T
ª
­k— T¤„¦[›
¤[¤
ª
©Y–˜
¤[—T[²
ª
©Y–˜
¤„˜
¤T[²
ª
©Y–˜
¤ –Yž©
ª
©Y–˜
¤¥T—„›
ª
©Y–˜
¤T¥Y•¦
ª
©Y–[•„¤[—„»
¤T
ª
©
¦„©Y–˜
¤
ª
¥Y•[–¦[¦[›
¤[¤
ª
¦„©Y–˜
¤T
ª
¦[›
¤[¤„˜„¥
¦„°
ª
¦[›
¤[¤
–›[˜
ª
™
˜
—„¦
—K­;Ÿ[›
ª
™
¦[›
¤[¤K­;Ÿ[›
ª
[›
¤[¤
¦kžŽ•YžK¦kž¤T [›
¤[¤X©Y–˜
¤T [›
¤[¤
–˜
¤n˜
¤¥
¦„°¯ª¥Y–
TžK¦kžŽ–Ž©m¦T–±©Y–˜
¤ ž©
˜
¤9
–˜
¤¬ž©
˜
¤¦T–±©Y–˜
¤n˜
¤¥
¦„°¯ª¥Y–
TžK¦kžŽ–Ž© [›„£T¤n¢T–›9¤kžŽ¦kž©
Ÿ©Y–˜
¤
[›„£T¤n¢T–›4¦
¤„›­]ž©T—
•4©Y–˜
¤T ¤„— T›­]¤nž©T¦[—
›
•X¤[¤©Y –˜
¤T –˜
¤4—T[²¤©
˜
—©
¦Y ¤T–˜
²„¤n–­Y¥Y˜
–
¤T[¤9²¤©
©Y˜
–—˜
©
¤¦Y  –˜
¤X¥T—„›
¤©
¦9
 ¥Y•YžK¦Æ§®˜
¤T²„–­Y¥Y–
¤;¨±©Y–˜
¤
–¦ ¤„›­]ž©T—
•4©Y–˜
¤T £Ž­YšT¤„›–¢9¦
¤„›­]ž©T—
•X©Y–˜
¤T T•[–¦4¦[›
¤[¤
¤„›­]ž©T—
•X©Y–˜
¤T [ ›
¤[¤n˜
¤¥
¦„° [ ›
—©T¤[¤9—„Ÿ
¤„–›9›[˜
¤„¢T›9–›9 ˜
—„¦
—Ž¦[›„£;²Ž¦„£
›
¤
—©T—„Ÿ
¤„›9¢T–›9¦[›
¤[¤Ž¦[›„£;²Ž¦„£
›
¤
¦kžŽ•YžK¦kž¤T ² °
Ÿ„™[©T—K­k¤
ª °T—©
Ÿ
¤4¦„°T¤n©T—K­k¤9–¢n™T—„»
¤
•„¤„¦ ž©— 4˜
—„¦
—Ž¦[›„£;²Ž¦„£
›
¤
˜[›
—™
¦[›
¤[¤
ª › —™ T—„»
¤
•„¤„¦ —T²T¤„¦ ¤T²„–­Y¥Y–
TžK¦kžŽ–Ž© [›
¤[¤ § ¨ ›
¤[—„˜[¦[›
¤[¤
ª [¤ —„˜ T—„»
¤
•„¤„¦ —T²T¤„¦ ¤T²„–­Y¥Y–
TžK¦kžŽ–Ž©m¢[›T–­ —X¢kžKŸ„£
›
¤
¤©T¤„›
—
•
˜
¤šY•„—© Y•
¤„›[›
—„›[Ÿ„©
¤„›[›
—„›[Ÿ[¦
©[£Ž­k¼K­\Ž¦[›
™;²„–˜
¤K­k—„¦
™;²„–­[­¯–Ž©
™T¤ [¦
¤©
˜
™ T¤[¤¥
™
›
¤„»
¦„°T¤„›9
ž©;Ž¦[˜[¢[¢[¦
©;Ž¦[˜[¢[¢[¦
¦kžŽ•YžK¦kž¤T ª –Ž©
»
¤„›[¦¬Ž¦[›kž©
Ÿ¦T–4•[–Ž™T¤„›Y²—T¤9™¯žK¦„°Y–Ž£
¦4šY•„—© ; ª °T¤T² ¢„£[©;²Ž¦kžŽ–Ž©¬—„›[Ÿ„£Ž­k¤©
¦YX©[£Ž­YšT¤„9› ª °T¤T² ¢„£[©;²Ž¦kžŽ–Ž©¬—„›[Ÿ„£Ž­k¤©
¦Yn¦ „¥T¤ ª –Ž©
»
¤„›[¦4©[£Ž­YšT¤„›¦T–9Ž¦[›kž©
Ÿ ž©X­k— kž®­Y£Ž­¬¥
›
¤T²TžTžŽ–Ž©
ª [¦
¤©
˜
¤„˜4¥;¤£
˜T–
²„–[•[–›4­k—„¦[›kž m[²—
•Yž©
9Ÿ ª ž©
˜²„–­[­¯–Ž©¬¤
•„¤K­k¤©
¦Y ª [¦
¤©
˜— ¤T²Ž¦T–›¬–›9— —„¦[›kž 9
ª ¤[¤¥4¥T—„›[¦¬–¢9—X»
¤T²Ž¦T–›–›9—­k—„¦[›kž 9
ª •Yž¥9»
¤T²Ž¦T–9› ª
ª
©
»
¤„›Y¤n©Y–Ž©¯ªŽ¦
—©
˜
—„›[˜ ´[ª ¢
—TŽ¦ –Ž£
›kž¤„›9¦[›
—©;Ž¢T–›­,
–Ž©¯ªŽ¦
—©
˜
—„›[˜ ´[ª ¢
—TŽ¦ –Ž£
›kž¤„›¦[›
—©;Ž¢T–›­,
M~€
T—„»
¤
•„¤„¦Y ©
¢T–›­k—„¦kžŽ–Ž© ™T—„»
¤;ž©
¢T–
ª ©
¢T–›­k—„¦kžŽ–Ž© –Ž©4™T—„»
¤
•„¤„¦Y ¤K­¯–Ž©;Ž¦[›
—„¦kžŽ–Ž©; ™T—„»
¤„˜
¤K­¯–
ª T —„»
¤
•„¤„¦ T –[–[•ŽšY–$˜
¤K­¯–
 ”[”±°T¤
•Ž¥9˜„™
¦
; ž©
ŸT•„¤;ªŽ•„¤„»
¤
•˜kž[²Ž›
¤„¦
¤m´[ª ™T—„»
¤
•„¤„¦9¦[›
—©;Ž¢T–›­,
n¥T¤„›[¢T–›­\9—9Tž©
ŸT•„¤;ªŽ•„¤„»
¤
•0´[ª ™T—„»
¤
•„¤„¦9˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž©
™¯žK¦„°9›
¤T¥T¤T²Ž¦¦T–n¤;žK¦„°T¤„›9—n¥T—„›[¦kž²£Y•„—„›9™T—„»
¤
•„¤„¦«§Y¹b™[©T—K­k¤%¹[³
¤[¤ ;¨4–›n¥T—„›[¦kž²£Y•„—„›™T—„»
¤
•„¤„¦9¢kžŽ•¦
¤„›Y
§ T– —©
˜ ž ¨ T–Ž£¬¥T¤T²TžK¢9
³> ]§®¡³[¹b™[©T—K­k¤%¹µ¨²„–­Y¥[£
¦
¤TX¦„°T¤9—¥[¥
›T–$k ž®­k—„¦kžŽ–Ž©
²„–„¤„¢[¢kž²Tž¤©
¦Y9»
¤T²Ž¦T–› 4—©
˜˜
¤„¦
—;žŽ•9²„–„¤„¢[¢kž²Tž¤©
¦Y9»
¤T²Ž¦T–› ³
–Žš
¦
—;ž©T¤„˜š4—X™T—„»
¤
•„¤„¦9˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž©0–¢4¦„°T¤4»
¤T²Ž¦T–›9¡9
¹b™[©T—K­k¤%¹_žX—Ž¦[›kž©
Ÿ¬²„–Ž©
¦
—;ž©¯ž©
Ÿ¦„°T¤X™T—„»
¤
•„¤„¦9©T—K­k¤
>³ ]§®¡³ T– ³ ž ¨²„–­Y¥[£
¦
¤TX¦„°T¤X™T—„»
¤
•„¤„¦˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž©
T— X—šY–»
¤9ŸkžK»
¤©9¦„°T¤T¤4¢kžŽ•¦
¤„›Y4—Tž©[¥[£
¦¶
T–ž žžXX¦„¦„°T°T¤n¤n˜
˜
¤T¤T²„²„––­Y­Y¥Y¥Y–
–
TTžKžK¦k¦kžŽžŽ–Ž–Ž©0©¬°¯•[–ŽžK™¯Ÿ„°¯ª¥Tª¥T—T—T[n[n¢k¢kžŽ•žŽ¦
•¦
¤„›¤„9› — ©
˜
T– —©
˜ ž ­Y£;Ž¦nšT¤n¦„°T¤—K­k¤•„¤©
Ÿ[¦„° ¢ [¡9 9•„¤©
Ÿ[¦„°‹§®¡k¨X—©
˜ ž±¦„°T¤9•„¤©
Ÿ[¦„°¬–¢9¢kžŽ•¦
¤„›YX¦„°T¤©
•„¤©
Ÿ[¦„°‹§ k¨X •„¤©
Ÿ[¦„°‹§ ¨X ³2™[°T¤„›
¤ 4 ]§ [¡2.„¼;¨
žK¢4¦„°T¤ 9¤[¦
¤©;TžŽ–Ž©n­¯–˜
¤mž±¦„°T¤X¥T¤„›kžŽ–˜kž
¤„˜n­¯–˜
¤
4 §[§ [¡ ª[´[(¨ .„¼;¨¢T–›4¦„°T¤9–¦„°T¤„›¤ [¦
¤©;TžŽ–Ž©n­¯–˜
¤T –›4¦„°T¤4˜kžK¢[¢
¤„›
¤©
¦mTžKŸ„©T—
•9¤ [¦
¤©;TžŽ–Ž©n­¯–˜
¤T]³Š¤[¤ ³> ]§®¡³[¹b™[©T—K­k¤%¹[³[¹f­¯–˜
¤%¹[³f­¯–˜
¤k¨–›
³> ]§®¡³ T– ³ ž ³[¹f­¯–˜
¤%¹[³f­¯–„˜
¤;¨m²„–­Y¥[£
¦
¤Tn¦„°T¤X™T—„»
¤
•„¤„¦
˜
¤T²„–­Y¥Y–
TžK¦kžŽ–Ž© —©
˜4¦„°T¤4¤[ ¦
¤©;TžŽ–Ž©4­¯–˜
¤²—©4šT¤¥T¤T²TžK¢kž¤„˜9
[¤[¤4—
•
„– ³ ³ %³ !
M/g
p b$
0$6UaS\je351"lS/@A357FIhB 6kS/1 IF1:35B >n1?9q6~3DIh6\U;QTSG@n45<n783‡@n<q1:<HBD1:9wUnIe1„>A1QTSG<Hd 357FSG<HBZ-,S/@n4\IF1„d 6(Ihd@nI
>A1*BS/<H>n1:Ie13V351 B i*>b13KM/>b6GBDBD1 *d:S/9X-nIe13„1:3?1 ld:6Gd1/. R 1|>ASAd@n9;1:<=3 6X-H4DU*BV1 <G35UIF1*B(-n457F<h
d7V-H6/IF1*BuQTSG<Hd 357FSG<HB;>n6(<aBuIe1:@n4;1 <HBV1 9_UnIe1/.06 9;1:7eIeIF1 @n4D1BDS/@n4 d1b>A1451:<aBV1 7FEG<n1:9;1:<=3;4D1*BR351
3DSG@A3D1:QTS/7hBIF19q6/<=@H1:I2>A1I y @n3D7eIF7hBD6(3D1 @n4?>A1Ih6u35S^S/VI UakS p k6 S/1 IF1:357B ÏNkg Ð`.
* < d:w
1 5=@n7dSG<Hd1 4D<n1uIe6;35xnU:SG4D7e1u>A1*B„SG<H>A1 IF1:3V3D1*TB +>A1P<nS/w9 Un4D1 @ pSG@ S^456/E/1*B3D4 6(7F3D1 <G3K>A1Pd:1
BD@ R1"3 Ï ¯€ Ð,13\>A1?<HS/_9 UH4D1 @ pPBD78351 B BD@n4 <=3D1 4D<H1(3 ÏNkM п-n45`S -,SGBD1:<=3 >A1*B3D@n3DS/457h6(@ p}+(>A1*B
1 pA1:X9 -nIe1 B
>zy \6 --HIF7hd:6(3D7eS/<2. .:.
^ 1 <nSG@ S/1 IFIe1 B 35xnU:SG4D7e1 B 7eB5BV@H1 B >n1 B SG<H>A1 IF1:3V3D1*B d:S/9;9;1:<Hd:1:<=E
3 l \6 -¿-H6(4 k6 jh3D451 1T9P@nI835f7 h
S/<a>A1:Ie13D3D1 YB +?SG<H>A1:Ie13D3D1*B}4 6~3D7eS/<H<n1:IeIF1*TB +2Ua6(<H>A1 IF1:3V351 B .:.:. 31:3}IF1*B}451 d xn1 45d xn1*BBV@n4 IF1 BD@ R1:3
k6 S~6(<Hd:1:<=(
3 l±S=V7 S/16/IFIe@n451/.
* < :aÀ
< +(d1 4V3 6(7e<HB6/ŽB -a1*d 35B>A1*B'S/<H>A1 IF1:3V351 B<2y S/<=3 -H6/B'U35Up`6 UaSG45>nU B>n6(<aB'd:1‡9q6/<=@H1:%I -aSG@n4>A1 B
4 6(7hBVSG<HB >A71 -nIh6/d1„S/@ >A1KdSG±9 -HIFT1 p^7F3D±U 1TSG<H>A1:Ie13D3D1*B‡<HS/< BDTU -H6/45`6 UnIe1 YB +`5=@n7F<adS/<ad1 YB +Gd:S/<HBV3D45@H
d h
3D7eS/<>n1;Q+6(9;7FIeIe1 Bu>2y SG<H>A1:Ie13D3D1*B:. .:. 3[+>n1q3D45i B<HS/_9 UH4D1 @ p IeO7 S^451 BT1 p^7hBV3D1:<=w3 lCd:1lBV@ R1_3 -,S/@n4
5=@n1:bI 5=@2y @nm
< 5G@H72BVSG@nxH6(7F3D1BDŠ1 -nIeS/<nEG1:41:¬< -n45S(QTSG<H>A1:@H4>H6(<HBIh6P3DxnU S/457F1G.
' ‡
bi |s|.ZÁK45SGB5BV9q6(<H<6(<H> a.{CS/45IF1:3 .Æ^„1*dSG9±-,SGBD7F3D7eS/<S/Q „6(4 >At QT@n<Hd3D7eS/<HBP7e<G35S B5=@H6(451
7F<=351:E/4 6\UHIF16kS/1 IF1:35BS/Qd:S/<HBV356/<=3uBVxH6`-a1G.
&$&V+Ci*g¿1T€%3±c ( M(L ( LGk+
i (€H.
Ï Ð
NM |{}6~35xHBDS(Q 3 H< d(. 9 &C 3 & !" H Y' Y ! 9
.\{ 6(<^tl6\--HIF7hd:6(3D7eS/<HBS/Q6kS/1 IF1:35B‡7F<9q6(<^t >A7Oi1:451:<=3„>AS/9q6/7F<HB .
Ï ¯L Ð(=3DYU -nxH6/<n
1 Áj.${}6/IFIh6~3*.s 35xn1:SG4Dt QTS/4|9P@nI8357F451 BDS/Ie@A357FSG< BD7FEG<H6(I‡>A1 d:S/9X-aS=BV7F3D7eS/< c$oxH1
pk6 SG1:Ie1345T1 -n451 BD1:<=356(3D7eS/<2
. "!V 9H &$#!&' $$
&&%. ' #
P F $T+ iKi]1 ( 3"c k ( € Ak GL +/@nIet i H.
Ï \€ Ð(=3DYU -nxH6/<n¬
1 Áj.{}6/IFIh6~3*(
. *) ! '! &+#eVC/.sd:6G>A1:9;7hd ¾ 451 B5YB +
i n.
ÏNkg Ð|{ .n{C7hBV7F3D,7 +P.n{}7eBD7835®7 +¿Áj. W-¿-a1 <nxn1:7e¬
9 +n6(<H> H. h { . ¾ SGE/EG7‹,. ) ! -!&/.10G. o BV1 45B y B
E/@n7h>A.1 S/1 45BD7eS/S< i.h\oxH1|{}6~35x pS/4 AB:.
Ï kÐ
M(k