!"#!$%&'(
)*+,"-.'/0"#!&'&"12
34%567888&90(:6;<
,#&&<=11
#"#1%>1"0&?&#);<
3;))@+1;"A)
6&,<&BC1;DEF%
@$&&2,&D&9G
# 31HI@!")&!"!)&)9&
1#&%J#&HI@K)&KL;:
MM;:7N;:*;;61"&!&)&"CO"0
1B&3$#FD1PQRRC
C"1Q&1&C&*)
&%
S$&;<R';T(6U11@
<"!R*=A1@;TV
T=W$5$.;TS6J1MXY
!&9;TY"!<=1J@S@
<,<";=1B9SS"=*=YSY
J*=ZC1X"#$&@;T&D&9
GYC1[6#%
\)(")&!),T]&!^
!"#!$%&!'!(
()*+,%_1@F3`;C1&<C@1
R*=AT#&2,%
J0"6,1IaF^
bF7^@#&%
bFM^W*c&@#&%
bFK^>A,1G*"-YC1@"
C@1#&%
bFa^W*c"&C;<%
/0123
.4516712/844516129:.)51);1<
3=3>-4?@1.4;1AB41.CDE.F4.)51);1<
+`*4dc
. *$KN;
1[&2F$&)
"#L13$7N2"#&2#c3^
eWc. 1f
eWc5V1b*f
eWcgThSf
eWcS*:6J*:6if
&90(:66788j%>
cA187;
M
1&&)Tj%aMaMk
B=*3$c#Q&K7l7MlMN7N7Mk%j8aQ%
7k&F"2cR'^J\S*J0
SS5]J1SJ1SgISb*
:bQ1J1iW@HWm5nSQ
VS*:SH"2)%
SY3`o,5*>*&?$K8p2)
%
F);<=2"#q]T
R*=A<KKLrF@"=2"Y=2<KLLrT
<K7Nr%/CR)TeT&'<
[,#="T3C9$&6`i>W,*
K6sMNNLeMNNtu&@7kkr%S(t6MNNt&<t6MNN8
23CR)T"T1$=1
&@G7%aM7q&IB*3#&@
7%LjaLq&I%
!"#$
&'"&;R*=A!;&T2#Y
TQ],"$<"#3$"$&&G
Yq&T%
$$
!T3CSSB<<,<=Z
C1SYJ*%g*<@"=2"Y=
2;<9"#6!"-%
%$&'"(
jLQG1]]F3`
]BTCT0"Y1&7LQ]&@
v$f7Q1&w7]&&2
,%
)*'&+,-
eS(6MNNM&2,&"!
11R*=A&"61;$F&F"2"6
1%56MN7Mjkr&&@=&"61fMk
jMF&@="61f
e@#<&'7NNrR'2)&!@<%5!6
Y["[q=*3$Af
3=G:./012./812:.964?1B41.CDE.F4.)51);1
<
_1@;<&2,
&91$;<R'&2,
"%
S1&1@MN77eMN7L=A&2,&AFA
;3T&"#3$9"T#F&1@#sMNNje
MN7Nu%G<=A&'"&A3x11&1@
")&G"1$6MN7L%.#3&1@MN7jeMNMN=A
3x&"13CR)B&2D&H@<,`3A3C1
2R*=A%
!
S<YA52<SFk;1\"!T
T =* T T% b =2 @ F ) ; < T
TTF3`1@ 3CR)"#2Q"&v
@D=Y;1]T#%"T
3CR)1C*C&C,C1v)91Y"Y
G2Q@;<@U1#:pb;P
;c6T=YT1 3CR)"#<,<"2Q
Y3Cv%
S<YA&!;<TU1
"-&"-3CR)1R*=A
F%
/CR)C "#<,<"Y3Cv+6
213CvT%V<;cG;<
!<,<T3Cv"&G13Cv
T%
V$2QY3CvT#
$5;YTQ]X
!"# !
Y R* =A &9 ; T @1 3A
=2@"!F);<U1#6q]n"AT
1F);<;<;cTT1
T<TG!"Ty99<
@c*TzTQ;C6m!1&
&2,@1F3`1=2"Y%bm]"
&BF)1&R*=A`;=2"Y"&1@1=@
!1T*"Q1&%gv@"R*=A
!T! "#3CR)T
TT&@1!"C,#Q1&=y
;"ATT%gv@!T
`TTR*=AYT<,<T3CAv
1CRR!D613m"0R*=AXV<
;c@1&!;1&F3`*!
!$%*1=c*IT^***
T*=*+X&@1I@y
!T%
gv@R*=A*)F3`@G&&QQ@
1%
W)&)23CR)TeT6MN7L
&@6`,*67tr%
W)&)&<6MNMNF,C`T
U1#&@%
$%&'()*+
S0;<@=2"Y%gv@T
1@R*=A*)`@#9-9"#
A<`(;"A"U11@&'&9=%
V<;cG;<&G1@
;=1=2"Y&2,@1&!;11@;=1
=2"Y#;3@*F@X&GR*
=A;=1%W*1)9=2"Y"0C1
;&@1%
gv@1@&F@=2"Y<#F$
=1"0["H&@1*%
W)&)23CR)F@"=26MN7L&@$&
6`,*6kLr%
S1&1@MN77eMNMN1@;<
!,<cA"#3A;T
Rc"3A;TY!!$%g*c
&Am&v;<01&1@%
,-.
.'$$'/0+001234$'/0+0)5!
'/6&789:;<=!73#1>?#
@'/-$&(AB$$46CB$$46"4
A!DEFEG1B$$46.*$H'$1I?#15!'/&
$$!E$1H:J&1..$I !-$#
KL!6&78!4'$M$*A>
3=H.4516712.5.I12-12-J:451.)51);1<
3=H=31K'!(
5I&&9)($&!. %b
YCY&2,&90&<(@77N;:"
@KL;:3^
./A0H//'N,H//'*H A+O$9:PQ$" !
)-RST%
e'=*=E^pb8LLNf
eb;1C"9&?,f
{M8tp÷M88"9$K8p%
{Ka8÷KLN"93TJAg!%
./A0+UD/AN,UD/A9:;<O$9:PQ$
" !1A/V6%RST)%RST)
e>*=Epb7LNpb8Lf
eV1C"9&?,f
{t÷8"9$L%
{7t÷78"9&QMNj%
{bja÷jL&=#&Q=*MMN;:%
{kj÷kk"9$K8%
{kMb÷7sYT=u"9$K8%
./A).UO$H'$N,O$H'$;<O'O$9:PQ$
" !0
$&/ 01!
%&!'!(HLMN^J#&KL;:<34=Y&Q=*
;T)&1G<YC&2,(KkM@
77N;:J@g@1s|%Mt%au%
JKkM)&1R'J\S*J0SS5]J1
SJ1SgISb*:bQ1J1
2);TS6J1M"3$T%SB
!=<7a7t;&QY34=Y=*;T<==*
pb7MN% J KkM ) & 1 7jS.pl78 "# BT 3) &?
j%jLN;:p&2,%JKkMT"##&<
V1b*=1@KLj%
%&!'!(GGMN^J#&MM;:&2,B
!=8t;1&<&Q=*;T%@#&
MM;:&9)(@77N;:iW@s|%Mt%Luak7"akK%
{Jak7^b)&<13$T"YT>
W$5$.%SB!=1<LM;&QY34=Y=*
pb7MNpb8L%Jak7)&1KkS.plLK"#B=9&?
K8%LjN;:p&2,ak7T"#KkKes|%Mt%au%
{JakK^b)&<1R'iW@HWm
5n%SB!=1<aj;&QY34=Y=*
pb7MNpb8L%SB3$KaS.plaKB=9&?M7%MMN;:p%
JakK1=,TFB1%
%&!'!(3OMN^bB!=7K;&QY34=Y=*
;T%J#7N;:&2,&9)&(@
,<sS.pSiuJ1s7%tNN;:puM8k7"8kKM
1=,TFB"#&AhS%
{J8k7^b)&1YCR'SQVS*:
"#B!=&Q=*&2,7N%N;
<=*pb7MN,1IkS.plk"#B=9&?
7%MMN;:p%
{J8kK^b)&1YCR'SHS*:
"#B!=jj;<=*;T<=
pb7MN,1IjS.plk"#=97%8tN;:p%
G<<<)m
C;T&!"<&=AH1)&%
$$&/ (1!
J#&@<B!=ajkLM;)
& KtNlMMN:Ka =* <=*G pb8L pbkNpbLN
pbKLp.b%
SB!=&QY@<&Q=*;T7at;%
SB!=x@<&Q=*;TK78LM;%
J#&@234;*=<&D
GYC&#R),;c)&,Na}
NL;#&;T*U11@c) "
&?,1[;0&T=*%
gQ=*&1=-&]1@=*^gIT
~;=*&1@&;P1&%/D&34=Y&1@%
$&&)#@)D@+2X5!&QY
;T&C,C11*1Q%
J#&Na;:;T;<)@"H,;c
)&#=1"0;T&C,C1G)&1YC%
%23&'
.'$$,@3!&27A#:15!'/6&7
+,-1W$Q:: 4/$$W>44/8
!49:;<W/X64&6)110A$?Y$
8>4ZO$9:'$Q[!7\X64&68>$
">4$89:;<Z]X64&6
.'$M$*A> !&!41Z>48
!49:;<8!'#8!4;<O'4!O4
/>4:3!48!Q$" !:B$1A-?E
!]^&1_6&`a/'4`$6/A$
>4]bAc-'d&3E$X6E$?V1?cB$
aA3a'$ !6=$4
/012G
:.P1Q 91.249.4516712/84451
6129:.)51);1<
G=3>-4?-R/844516129:
@#&K)&KL;:
MMV:"7N;:%J#KL;:"MMV:0&(@77N;:J@g@1
|Mt%a"77N;:iW@|Mt%LfJ#7N;:0&(@
J1%:I@3131,)&;1#
0c2341Q;•&B)
&%
:I@3131,)&KL;:MM;:"7N;:&2,
&'C3$=AH*;;6#1TCO
"0&?,;RC3A$%
G=G.451671212S1/84451.45174
@RcF3`3C3)3C9&
Y#G<&9)&)KL;:MMV:"#&Q=*
"<,2)&KL;:&9R*=A(*%bFc
#"Q]F";=*&9)&<
,`)&7N;:%
114&5
2X
g6)1=-&,<&B=@6
9;Y"Y13CR)"&Q3$%3)<,2&
;TY"1,C*<,2HY"1)9
&mY%b)9&;T[&?1D&
34=Y&9&6H&?1C;<"
34=Y1@69%bc""0C&)9&%
dX`$?E
eb)9G3$&9&,+&G3$31"#G3$
&2D$&%gG3$&9c3^
ۥ
,
‚s•
ĥ
&
u%7NNrl•
&
sM%7u
S1&^
•
7
ƒSG3$A<
•
&
ƒSG3$&2D
gG3$1[]&)
9&6%SG3$T3$c)$%
eb)9G3$&9&=A&=1&G3$&9
&?,`&[2#)"2„)G3$;
$&G3$,<F7rl3%
dX`$4&6
eb)9&&9&=A&&A
<,2=-&31"#&&2D@&f
€…
,
‚s…
ƒ…
&
u%7NNrl…
&
sM%Mu
S1&^
…
ƒgA<
…
&
ƒg&2D
g&&9&23^
g$"#&F&`RcT%
eLr†€…†{Lr
g$"#<,2<31RcT1T3`
"<3T%
eMLr†€…†{Lr
g$"#<,2=-&&)"1@&T%
e7Nr†€…†{kLr
S1@3A$1P6#@3^
e7Nr†€…†{7Nr
eb)9&&9&=A&=1&&&9
R&23^
€:‚s…
R
ƒ…
u%7NNrl…
&
sM%Ku
S$&,<(…
R
&<…
;T„F7rl3
S-U1(YC"!&=1&&1=C
G<"93x*C`R)&<<,2=-&%
eg;T&$RDf
WYC;T&$RD=E&<&;T&$
RD*G&DA2…
M
%
gDA2CC1@&"B]
YCC;C6C#&"*B)&6%
eg;T3f
b<,2=-&‡G41$&G
<&!G4c<,<,
31XG4&!,<=@&I2&1
;TH3[%\)G3,01
G3GC&6B)3 (
1&FB)&T1&6B)1#&
"<,2=-&%
b)9&&9&C,C1Q,&!&
1C#!C‡#*$%
3=!T'!(U'V$(
g!&U1&+&C,C1311&&
31"#&&2D`)C<,2=-&+1@"
1P%
b)9&C&9&C,C1`@&@c3@
,<*$"C&9&C,C1`A<,2=-&34
=Y&1F<%
G=-%W'!T'!(
eg!&&,+&!=H&
;c(f
eg!&,<6"@,+
&B&G*9Of
eg!&&Q=*C&,+,<&!
",<,B9f
eg?<,2,-&!&&BB)&
&Q=*%b=-,Y&,-&I,1?&F&
&I,&!;c(f
eg?<,2,-=]&Q=*&&B&;&Q=*
+&BB)&f
eS&B)m#"FD"0f
:!&2&A&!&`&
@&;"A"`@&&2F1?&?@<,2=-&%
g&!&6IT3)C;1?
*,B@T3)C;1$&F
C;$&&T3)C;%V$&
<T3)C;F=)&&!&
6IT3)C;%
>13AD@"!)m$&"!<&"
YC"3A*)1<;<T"CO"0"&!
&$)11$&;TA
&9%5"Y&!&&9*1(;"A
$&%ˆy;"A"&!&+&C,C1
G"!&`&G&9v%ˆ&&!&
+&C,C1&"1@&;"A;&!C
mO&<)9&YCA=-%ˆ@&;"AC
&C,C1&@;"A&'&9&2%@&&2
FA<)&61YC"&!&
`&*)]""Yc&&C,C1)9&
%:$<&&<<`;"A%
bFD&!&&!0"&!
Y,%g!0+&B&1;"A
H&!Y,&BD&,01&
@&%S1A<&&C,C1)9&Q;<9C
FD%
Vc1&!&GRP<&&?
YC&<&T3)A&@sRu"<&T3)A
su%5<&C,C1)9&`<&3x&C,C1)
9&<&H@%g$"##&@"c1
G<@3$&G<"]%
:)&!&C,C1)9&C&9(
<;<&<"0@&%V<;<C6D"1&?&
"01FA]&mG4@&U1&!
;&A]&m"&?&my<,2&!&%
S1"0CQRU1=d&`&;&!
FD&!c9&,C1&C)9&;
YCT&BGC;2Q&!"A,31
1)9&T&@v&2%
6)+!789:4:;<=114&5 >4&/
01!? @9A
d?b!&$&X`$4/&8/A3&6
‰&$&X`$4e'&6$6&6?
eSU1&#@&f
eSU1vc*&f
eSU1TR$;f
eSU1F[T3)"&f
e>AF3`*cG&$RDf
gU1Fc*&"FF
T3))D@";;61c1%g)9
&U1&&;Td)9&U1Q%
WF&)9&U1TR3)$;
1,<&G&T"!&U1QF3`&<
&!&9O"1Q&;U13A,<
YC&%5T<&2A]F%
iC<&&1@&&@9E
*U10*$v"0&R3)%
( )
( )
M
M
%M
%
M
7
3
ef
σ
πσ
−−
=
sM%au
S1&^
"eg&f
"
,
ei2&&f
σ
"
σ
M
"
egv"F3&&f
( )
"
.
.
3
∫
−=
N
M
M
us
7
σ
sM%Lu
SeJQ;C13f
i[&v"&&I@$
r7NN%
g
g
σ
σ
=
sM%ju
S1&^…
eg&2Df
j
R
gg
g
−
=
σ
e&&sM%ku
SU1 Š,Rc‹&+1@"
…
‚…
,
eKσ
…
≤…≤…
,
{Kσ
…
‚…
R
sM%tu
…
,
ei2&,&9cU1,D3f
g
g
3
∑
=
=
7
sM%8u
…
ei2&&1`QDf
e/$P&1f
1?2&,R&2U1,D
M
R
gg
g
3
−
=
g,&
7NN%
3
3
g
gg
−
=
sM%77u
S1&^…
ei2&&2Df
5"0<,<2A&@"A&R&2
&92σ
…
""
,
<3D&FC%
\3))9
bJ
R3)&&"@&
+1#@1P%
( )
( )
usus%
M%
7
us
M7
M
M
M
hh"e"f66
6
6
3
6
6
66dH
−===<<=
∫∫
+
−
+
−
−−
+−
σ
πσ
sM%7Mu
:#
g
36
g
66
σσ
−
=
−
=
++−
M7
f
ŒsRuU2U&9c3•%
.<&9R3))9
bJ
=z=R&2&9%
SQ)9^S
bJ
‚
bJ
S
g6)9^p
bJ
‚
bJ
p
pB&6Y1QRPS%
d?b!&$&\X4*$1\XB$?X'\
4&6:&-
i.\XB$?X:Q$" !A&!3&6
eSB)T3)&Q=*YCf
( )
( )
usus%
M%
7
us
M7
M
M
M
hh"e"f66
6
6
3
6
6
66dH
−===<<=
∫∫
+
−
+
−
−−
+−
σ
πσ
:#
g
36
g
66
σσ
−
=
−
=
++−
M7
f
ŒsRuU2U&9c3•%
.<&9R3))9
bJ
=z=R&2&9%
SQ)9^S
bJ
‚
bJ
S
g6)9^p
bJ
‚
bJ
p
peB&6Y1QRPSf
g6)1=-&,<&B=@6
9;Y"Y13CR)"&Q3$%3)<,2&
;TY"1,C*<,2HY"1)9
&mY%b)9&;T[&?1D&
34=Y&9&6H&?1C;<
"34=Y1@69%bc""0C&)9&%
eSB)T3)&Q=*YC,+BB)
&1@@f
eSB)T3)1,<=*f
M
M
W
. N V N
… r%//
/ W W % Ž _
/ 7NN%/
∆ = ∆ + ∆ + ∆ +
÷
sM%7au
S1&^
∆W
N
∆_
N
e1BT3)=Y"C;;;TC
,<f
∆W
V
e1BT3)=Y;`<& @,<f
…
W
reg @rGC;,<f
/
/ebT3)&2D,<T3)YCf
i.\X4&6:Q$" !=A-6(a
g
jD
g
%% +
=∆
sM%7Lu
SB)&&Q=*YC,+BB)&1@
iO'\4*$
eSB)&6&Q=*f
∆p‚∆W
==
%τsM%7ju
eSB)&61,<f
∆p‚∆p
ŒU
{∆p
‚∆W
ŒU
%S{∆W
%τ‚W
ŒU
%S{W
V
s/l/
=
u
M
%τsM%7ku
S1&^SeSQ"0,<f
τeSQ1BT3)A&@f
k$"($6AA;3&$&\X4*$!49:;<
3=B!X$XY
,G&G&931@C1,`b%.%1U(678kk&<6
78tL`F#";T(,C#
Y<,C‡1&<&',"U31k%t%
$,&9R*=AF3`01"!0D
&AFc1C)01c1"!;
0&&4F]cX,"@<&
F"0`y<&,&![D6"3A
"%,HC<")&!3^Sc1$
$&!;@F1TQ*ccT„=@
3X1TQ)=z34=Y1&,1"Q
C&9,=zU1;O1]U%$,
1PQ34=Y3AA]'Fc"#&
cR1"$&%
$,ILGc
{5T[,^JT[0lC)1"#
*)m=["1lc60%51P
0D=Y(„&<D=Y#"D@%
{TQ",^g*,TY"F
,@34=Y"#Q=-1?Q0,%
5,1IF1"CO,<1;T
"•1;3U‡R)0;v=[%5‡,1IT
YCO~$"&2e•UD=Y,%
{\4O&I1@^g*$&I1@%5,1I1)
1A=[!",!R4OCC&%%%5‡
)))1P,@•,<1=&I1@‡R*
=A1=&I1@11D=Y,%
{S"1],^g*09;BI01
c1(F,C3133$]D%%%#
D@F2&C1020,<&B
Œ1U%
{i1=FD=Y,pW•sp1W1
•U•Uu^g*"1P,@"<Fb"
Œ1Fc"#,%
51H/;F&;‘"#,
$F"#"T„$&]<%
5F&I1@34=Y&11PT
$,+"x3F&I;$%5
""#$<c<$YU1Q
&1@U1Q&,<%%%
B9CD:E)+#:9:4:;
dY?\8;3
.ZG=32!X!([X\]^_XX$XY=
S43BcG!,&!,);•T
3$1G!U1G,1^g!3 T
[=@R)=[%S43Bc‡`1?
43B;G!U1(G(,1Y%
dY?\l6@'AA"m"'m
.ZG=G2!X!([X\]$` Z_XX$XY=
g*43B0G!,=H
0(,c?&2G!1?Q
=-&'03•=#=@e•U&c1*c,1
1=43B
c""U31
bTY
G!
VO`
/;
b
TY
b43B0
c
S
>H
AU1GY%S43B‡&B3$
T3$?&2G!‡`43BD6
;%
e dY?\G;fe
.ZG=H2!X!([X\]$XMab!$U_XX$XY=
g$"#,1#&01T0T
=Y<3DC1,&[=[,
1=#=@0&9=#=@e•U%
g@1e•UG!<3^S1
43BcG!,"1TYŒU]5U’"
].;eŒU1?)c ,cbe543B|=1e
>U,UR)%S<=[,1=#=@
03&&?1e•U&%V0&)3$,1
G0(,ce•U&43Bb1=’=1’"
)|U=[3xR)%
Vc11,1FA3$&BG
`e•U&'@1#&"&B3$9‡3$#"
@3&0FA,@3x;<C;TC@&
&*13$&#)G!%
e dY?\h';fe
g$"#,1#&1F="
c1?@FA<@1c11C
,1#[=#=@e•U%
:-=[
.ZG=c2!X!([X\]b!ab!$U_XX$XY=
g@11,1G!,<3^
S143BcG!,"1TY
ŒU]5U’"]Œ1eŒU43B|=1e>U,UR)%
S<0@11,1U1)m3^f'n:
A?Eop:AN:&3'PI[=#=@e•U"#
&']%
V0G"<FDT3$&9[
1?0(,c")|U3x1;<C,1%
g;<C2"#&G&TY
=>3••?&23•&$"#G!%
B,F&E;-#:!789:4:;
e,G!=Y1)!;&?,
)C1;0"&f
e,R*=AF3`01"!0C"PF%
“)c91"c1*c,1!T3$=[
",1&Yf
e,1P[3$;T#@=#=@
0C"PF%b=[&91,3x&9&@=
"#e•UY"&3x&9,11
,%V0&3x&@=11,=[1&%V
b
TY
c
1
c11,1FAG0@3$;TG
0@,"E1;<C#%
e,‡)CG!];$&"Q
R4O=["cRf
eJ0,&FC,)c9"#[,
1#"#!Pc"!;f
G=!]d'!(e *$%&!'!( ()*+
Xfg\h$Vi
jg\h$VHkGaHLMN%\Xl
amW'KYh ^ Y!n *$VHkGo
pbKL ‚Na;
MLN;:p ‚NL;pbKL‚Nk;pbLN
pbkNKMN;:p KMN;:ppbLN LjN;:p‚NK;
‚77; LjN;:p ‚Njk; LjN;:p LjN;:p
pbkN‚Nj;pbkN LjN;:ppbkN‚Nk;
pb8Lf‚Nt;pb8Lpb8Lpb8L ‚7LfpbkN 7tN;:p
‚Na;‚NL;‚Nk;MLN;:p ‚Nj;pbLN‚NLj;
pbkN ‚N8 MLN;:ppbLNpbLN
‚7M;MLN;:ppbKLpbKL
pbLNf‚Nj ‚NL;KMN;:p‚NaL;
MLN;:ppbKLf‚NL MLN;:p
MLN;:p KMN;:p
KMN;:p KMN;:p
GHIqW3E&/A3&6:-R