!"
#$%" ! "#!$%&'()*+(,-+
.*#*'/0$#/
*#'/1&
"%
#/#!+,#$/#
23&
4$"56%-#7*##$6&4$"%-#+/*#
*#&
8*$*#//0#&9:+(+"56%/*#"
≤ ≤
%)
";56%#0##/0/*#&<0#(33$
33+/./+8*#+"56%*#
≡
"*,%#/0#*#
";56%
='#$33+/./>'/*#?
*'//0##
;"?%@"%
;+7*#A5@>>B>&&&&>
>/0*#&
#//0(+/*#*$#2 &9/
≤ &
C)$(
≤ >**#*'//0#&
8*#*#+"56A%>@>>&&&>
56@>>&&&> &
9:+(>*##//0##+/*#7 &
&
C$(>+(,-+0)*-#@ &
&
!"
#$%"+(
≥
&8D
+(,/0
+
+
− = −
>/*$&&
− = ⇔ ≤ ≤ ∀ =
"%
E<0$/
C)
≤ ≤ ∀ =
−
+ − −
=
= − = − + − + + − = + + + − + + + + −
= + + + + + − + + + + − = + −
∑
FG>,:+(
+
≤ − ≤ − ∀ = −
+
− = + + + − = −
− =
E<0$0
#+
−
+
=
= − + − = − + =
∑
FG>.,+D($/++
.+
,,
δ δ
=
= ∈ − ∀ =
∑
δ δ δ
δ δ δ
+ + + =
EH+,'(
δ δ δ
!/++ #/0#'(D+
)'$/,'(*#/+A#!'&
4$
>
>&&&>
"
>
>&&&>
%-0->!+$D
>
-#+2">2%D+(&
#E/
δ
= = = = =
= − ≤ − − − = − = =
∑ ∑ ∑ ∑ ∑
#/(3
δ
@**#
I#/0#
δ
@A**#
≤
"J%
!
"#
$% &
δ
δ
− = ≤ = −
= − ∀ =
≤ ≤ ∀ =
$3K0*++(/L5 M&N-#$330*+$3
:K&C*:$338$>$*"8%-#)$++
$8&<G
'
=
∑
/(.-+(+$338$&'(D*&
{
}
" ( '
∈ =
∑
/(.-+(+$338$*#
'
=
&
8++)$$3K&9:+(*G
)
−
$38$*#
'
=
&K(
) )
)
' )
'
"#
− −
−
= = =
= + + + =
−
= = = =
= − = =
∑ ∑ ∑ ∑
∑
'()*++(,*'/
)
= >-#+(+
)
N3-#*$(+
)
&N*-#+*'33.
)
&'
*
$
≤
N->
$ * !
$
> =
$ $
$ $ $ $
− −
= − + − + + −
C!
∈
»
L!M;I!
≥
L!M
+ +
⇒ − ≤
&
9/>#"J%(*
≤
*A&F.&K(/O*&
#+2#*/
) )
= ⇔ = = ⇔ =
B
+(,*>*P >P & ! +/*$
&<0+/'# ! " #5
$%*:+//0##*://0+&
-#Q!+Q++7*/+*+7*#$#/0#+
+7*##&C*:/0+-#+Q!+Q+$/&
'()*D+R
'#.2#>( 3# 2&
7332(33;2>'*
, $ $
≥ − −
9:,#.*//"J%/+3!3*#3;2@5B5S&
N"J%/3!2*#3;2@&
83!2*#3;2@;&9:+("J%/+*@3G@2&
83*P3#P2&-#Q+--Q"Q+--Q%++
7*/++"*+%7*##"#$%&F:
#2A+!+#>*:$3A*+!+$&
H+3!2>*:!+#'/0#-#!+$#->)
@"3A*%"2A%>3#(/O*&
N>3!21!+#"$%>G1!+$
"#%&N-#++++7*$(&4*+.
2>-#!+#&4/>+"3A*%!+$$'/0
#-#"3A*%!+&$>'$/3!"2A%*#*$
#(-#!+)-#!+3!2&C)3;"2A%@+2(3+
!+3!"2A%"3A*%"2AA%&9/>+!+3!2
"3A*%"2AA%;"3A*%@"3A*%"2A%&
(-(2(3>"J%/*&
(#'1/0+#+$/+!+7
"3A*%"2A%&KT3!+33!2+U,0>0/>-0-/0+#
2(T#!+,>#23&
9:+(>+$/#/0+#+!+7"3A*%"2A%&
C$(
, $ .
= − −
&
V3,+2###/'
,
= − −
8+(I&H#*+*#++*#!>/
/0$//0#*'
EF:+/*#>#*:*#/0/,#/.++&
E.+/*$#*#-#+#*#/
.$/33*#(>+
E@ R
E@ BR
E8@ >'F7-##3#(-#QQ
$$(>>->.++7*#!>/*:+
/*#>*:*#/0/,#/.++>#. +/#
S
*#-#+#*#/&4/>,++/*#!#++/
*#/
;0+
*#
/*#!#+
@
;/*#/&
;0+
I
*#
/*#/#+
@
;/*#!&
;0+
I
*#
/*#!#+
@
;/*#/&
;0+
I
*#
/*#/#+
@
;/*#!&
&&&
;0+
I
*#
/*#!#+
@
;/*#/&
;0+
I
*#
/*#/#+
@
;/*#!&
*->0 +
/*$# +
/*$
*'/0#/0$
"% +
/*#!5# +
/*#/
"%
− −
= + = −
*@>>&&&>
A#/0$"%(+
= + + + + /*#!#+
= + + + + /*#/&
A#/0$"%,:,#(@&9/#3/#*#>*./0#
$/&#/(/03*&
EC@ B>!*#++W*#!#++-
*#/&9:+(#*'+(0#&C$(>#3#(>
-##-#QQ&
C*:+(I>$
-#+D
+(,/0
>*#*:D
/0+
≤ − ≤ =
F=
, , ,
− −
< <
"%
+'!(,*$$(0
C*: >$
-#$33+DV@
*'/
/0#&
NIS&8DV@
+
+)$
&#+(
(
−
= + = +
J
−
= +
>/3
(
= − = −
AH+
@A)3
@&9/#(V,
/ !
− − −
= + − ∈ "S%
AH+
@A)3
@AG
@&
;H+
@A)3
@&9/#(V,
/ !
− − −
= + − − ∈ "X%
;H+
@)V,
{
}
{
}
{
}
/
− −
= + − = − "Y%
J
= +
&4/
(
+ +
= = −
AH+
@)V,
/ !
− − −
= + ∈ "Z%
AH+
@A)V,
{
}
{
}
/
− −
= + − = −
"[%
X
#"S%A"[%(33/GO
/ ! !
/ ! !
/ ! !
/ ! !
/ ! !
+ 0$ ! ! !
+ − −
+ − −
+ −
+ − −
+ −
+ −
∈ ∈
∈ ∈
∈ − ∈
∈ ∈
∈ − ∈
∪
! !
− −
∪ ∪
{ }
1 ! 1 !
1 ! !
, 0 , ! ! ! ! ! ! +
"# ,
+ − −
− − −
+ − − − −
∉ ⇔ = − ∈ ≠
⇔ = − − − ∈ ∈
− ∪ ∪ ∪ − − −
, , , , ,
! , , , , , ,
, , , , , ,
+ − − − −
+ − − − −
+ + − − −
= + + + − ∀ >
− = + + − ∀ >
− = + + − ∀ >
2 , , , ,
, , , ,
+ + − −
− − −
− − − = − ∀ >
− = − ∀ >
)3 , ,
"# , ,
4 , , , ,
,
, , , , , , , ,
− −
−
− − −
− − − − − − −
− > ∀ >
< ∀ >
> + + ∀ >
∀ >
> + + > + + =
7/+*+3>/
@ 5
@5
@5
@S&#/>,#"\%/
@Y5
@B5
@S#
@SX&+2#(+(
I>ZX&
#
I>ZX&
&)+>
, , " 0 , , ,
− − −
> ∀ > < < ∀ >
.3
").3 E X%
)*+2$3*$-3>#+(
EB+//.**'/0#//.**C$-(5
EB+//.**C$-('/0#//.**CU5
EB+//.**CU'/0#//.**]D5
EB+//.**]D'/0#//.**5
F=-3+*$//.*+*>C$-(>CU>
]D&
N>]>C>K-#$33//.**>](>CU>K
* 2 2 2 " " " !
% 2 2 " "
5 % 5 2 " !
= ∩ = ∩ = ∩
> > >
∩ ∩ ∩ >
Y
4*+.2>-#$3030+
2 2 2
"# 2 2 2 2
2 2 2 2 2
2 2 " 2 " 2 "
"# 2 " 2 " 0 6 " " ,
∩ = + − ∪
∪ ⊂ ∪ ≤
∩ > + − = − ≥ ≥
− ∩ ∩ = ∩ + − ∩ ∪
− ⊂ ∩ ⊂ ⊂ ∩
2 " "
2 " " "#
2 " " " " "
47 2 " ! 2 "
∪ ⊂
∩ ∪ ≤
∩ ∩ > + − = − ≥ ≥
∩ ∩ ∩ = ∩ ∩
C)+#"S%/O*&
F$/D.*-**+-$3-D/0#U* Y(0
EK+#(/0U*0.+#(U*
E4#(/0#/*$0-:
EF=.-$3/-D/0#*'(0>+7U* Y
BYX#(5
E.-$3/+-D/0#$(R
<+#(U* Y>>&&&>BYX&8-D00#'#(**#
≡
&.+'#(#(-#[B&+#(2.+#(
U*>30//3#(0#&
A4$
{
}
/ / /
= ≤ ≡ = = ≠
&H$(+#(0
V
2Z>+#(0V
#-2Y>#.+#(0
2Y&Y;Z@[B&C$(*:-D0*'(0/0#3[B#(&
A(#!/D$33[B#(*'(0/0#&K+#(V
/!/D,(+"10*#(,S;%&C#*:
≠
>/ZY
#(V
$#0-+3>/G,'(
"/
D -##(,S;#D-##(,S;Z;%&H$(>.-$3/
+Z
-D0*'(0/0#&
!
*#-#+(-B#*!"*##$%
33/G#*:-0>/GS#S
"*:%*#S/#),/(
7./G#+*:
/07(>+
Z
E*@ S#@ YR
E*@ X#@ YR
EH$+(7$-033/G>./G#*:S!
*$&.3 S! Y#S!&#/>7$+
'-033/G/0#./G#+ S! Y
+*:/07"7%
E73>*-##-#QQ&$$(>->
+'-0$33/G/0#>/'/G/#*:
X! Y-#&
A+$#-*#/#/*#
*#T&4/>+*#/7& B#+*#T7 Y& &
+(>*:-0/G>/0/G/#*#/#/#
*#T&9/>*:-0/G>+*#/#+*#T-
7&
K(>*:>3& B&@ Y& &>(@ &<0-#(
/0-#>)+/0*+*&
8$33+K Y3&*$$3K-#$3Q1Q++
##((".7%$-;$&F=
EH+K-#$30* Y+(,/0)*:$3Q1QK/0
2 B3
EH+K-#$30* Y+(,#(()0$3Q1QKYY\3&
E8V-#$3Q1Q!30
{
}
+
% !< < < = &4/>
{
}
+
1
= − − − -#$30*!A3$3K&9V-#$3Q1Q
/ 1 + + +
∩ = ∅ ⇒ + − ≤ ⇒ ≤
EN$33/'-#
{
}
! = &N^-#++-
=
∏
&9:
+(0+(+3,3@B;-#3B^;&K+(+3#((+#
++
/'&C*:+
! $
∈ −
-#*$D>>&&&>3A
*,30$33V
0*;+(!
{
}
$
∈ −
/.!&*,3$
{
}
/
= + + +
&C*:!
{
}
$
∈ −
>$K
@
{
}
! + /
∈ ∈
>
$
!
! ! ! /
−
∈
+ + + = = +
∑
&9/0!
+
!
+
≥ >
+
-#$30*YY\3
+
!
>/-#*$$3Q1QK&
$$(>+
8 1
∈
".7%>)
+ + + 8 /
∈
&
4.*+(
+ + + 8
+ ≠ "*,3%>
8
+ ≠
[
""
*$//0 Z/1&)*+(,+*'+
*:/1/-0S/1#*$-0*#B+S
-#B//'&
"%
N/1//0/'-#
/ / /
&
(-#"#S+/1/%B-#B/#1
S/1/-#S/1-+3/&
NV-#$3/1
{
}
/ / / / / / /
"//1V
>@>&&&>X #V
%
4$
/
-#+3$3V&.
/
@X X#VS/1-+3
# / & 9:+(> * $3 V /0 S /1 - +3 / & C$(
≥
&'F*X Y/1#((/)'0S/1-+3/
X Y/1/&$$(>-#*$$30*X Y/1#((/&^
$3/1/#$33
{
}
{
}
{
}
{
}
1 / / / / 1 / / / / 1 / / / / 1 / / /= = = =
NS/1-+3/&]/*:@&&&X >$3
$>-#*:$3
/'+*$/1$&4/
≤ =
1
= ⊂
#*:$3
"@>&&&>X %/B30$
/ / / , /
/ / / / / / / / / /
* 90 $ / / / / 3
"
∈ ∉
⇒ ∈ ⇒ ∉ ⇒ ∈ ⇒ ∈
∈
=
#$%.T7! ZAX Y@X /.*#-/##
+3//0/'2X >#3*$
>
/1-+3&
!
+++\*#*:+0*+/ ['+#/
+'+\R
"%
N8-#$3++H/0
/0>0)*
'
>$
/ : . ,
/ /
/ / , % ,
= ∈
= ∈ ≡
= ∈ =
8++)$V
5*'+&9+*'+ #(+H
-#*(/.+/7+* [A*'+ #(+>*$
.,:>*#.,:// ['+&.,:$(-#.,:
"J%&<.$.,:"J%0* ['+>/$-0-"#23%
*
\
/ , ,
=
= ≡ =
∑
.+37
&'
' / / / # / / / / / ' / / /= ∪ ⊂ ∩ = ∅ = − +
$!
/ =
*/V
>,:+(
/
∈ ⇔ ∈ ∀ = = −
/-#+($/L5\M*#
=
≡
∑
&K(>
/
7+,'( Z
'+.-$3/#'+ >>>&&&>[&C)+
/ =
/ =
*9:+(>+",.,:"J%$V
./#$$-
+3
J# >>&&&>[-$3,'(0* Z'+.'+,'(+\
JC,'(-$3/>'+\#('+/0G#(
'++#G#''+-0,'(&
]$3-$30*H8&&+(\
$&#/>,
[X$ [&\
3$-+3&F:
3+$V
>3+&C)+
/ =
J#$!#,
/ '
− − +
= + =
&'
' / # / / / ' /
=
=
= ∪ =
∑
"%
$!
/ / )
−
= = ∀ =
*
.
/
=
8
∈
9:+(>+","J%%$V
!
./#$$-+3
JD,'(0* [D+0/0#*:D'+\5
JC [AD+#->/0#*:D*$'+\.'
+//0"#(%+\
30*:-+-;<;>F/\
""!""
$&#
/>,
)
$\
""!""
&
)
3$-+3
&F:3+$V
!
>36+&
C)+
/ )
−
= ∀ =
#$!#"%/
' ) ) )
− − −
= = =
= + = + − −
− +
= + − − − =
∑ ∑ ∑
#$%9(FH8#>.F/+2.2
()----0--,--%--
≤ ≤
<-=--0-$-$--%--,------>-
- - ,- 5- - - - - ,- - - - - - - - - ,- ><- - - ??- @- ;A- - - @- - -
)
− −
= <
B<--- %-A--7-#-
' ' /
=
=
∑
-
-
!
)+(,&4$-#$330*+(,/0&+
$3K+K0+>*#
#
− ∈
"]($3:/-#$3+%
"%
C*:
∈
»
>$,-#+0)*(0/0#&
8!&<0#>
-0-#!+,>#23>+#/+&
N # # # -# /G $& 4 / +
%
∈ − ∈ #17*+G/G$
C)+>,
7++".+/7 %*#*:
0G/G$/&
C*:
∈
»
>$
;
-#+*#*:0/
;
-#+*#/*:/G$#
0
,
= −
*+
9:+(>+*'/0$"J%0*
;
*#*:#$$
/
;&
*#*:/0$$
/5/
-#+*'/0$"J%#(+/!")%
9/
− −
= +
]>+*'/0$"J%#(+/!0*
;
*#*:/,+Q!Q/
;
*#*:/,+Q!Q/0/
C)+
− −
= +
#/#"%(
− − − − −
= + + = + ∀ ≥
7/+*+3>
@B#
@Z"B%
$(0"%^/G!
A!A@
! ) ) = + + − ∀ ≥
"B%>)*/
) )
+ −
= =
C$(
+ +
+ + −
=
J
9:+(>
@ >
@
@#
≥
S
@
>/
-#+*'
/0$"J%#(+3!"&B%
9
@>/G
@&7/+*+3>
@S&
8
≥
B9:+(>+"J%#(+
3!0*
;
"
*#*:V#/0/
;&
*#*:/V>/5
;
"
*#*:V##/
,
"# ,
"
− − − − −
− −
−
−
−
−
−
= + + = + ∀ ≥
− = − ∀ ≥
− = − ∀ ≥
+ −
= = ∀ ≥
− + −
= = = ∀ ≥
)B×B#-#*$+(,&)*+*#
*:*#&"*#-#+$/#
332(2*%
=%< C-%----D-
V
VS
V
S
VB
B
/+)'&$+(1B332(+)#)
-# 33 2( \
> [
# Z
0 * /0 0 "33 2( BY
'
()%&
332()-/.&
C332(\
)V
V
V
V
V
#
&
332(Z
)V
V
V
V
V
#
&
9/332(#('*$33+'#1V/#*#
#/#*#&
C332([
)V
PAIV
>V
PAIV
>
PAI
>
PAI
,/332(#(*$
33+'#1G3"V
>V
%>"V
>V
%>"
>
%>"
>
%/#*#&
(#T/0 !!"&*#&+*#[!2>
-#*B-&
]&N0**#V/#*##/#*#&
*#/.V#*#/.&K(
-&C-#()
332(*+-/#2
332(-#
&
]&N0**#G3"V
>V
%>"V
>V
%>"
>
%>"
>
%/#*#
#($-&9:+(
_
$("./+#
2332(%&C-#()332(\
#Z
'*"'3-
/%#(#&H$(
−
+-/#
2332(&
]B&N0**#+SG3/*#&9:+(
_
$(&(>*:*$'*B/2332(
\
>[
#Z
&H$(+-B/#2332(-#
−
&
H$(>+0)*-#
++
=
−
+
−
+=
&
,-./&##(##)`)&(3-3#)3
+-`*,*-#*&C#/('$,#,:/3+&
C0,#)*$+#"---- -"3E-%-#--5%&
C/F3G-;>>HD-4--%-#--I-×-I--- 6--<-)---0--- 6--%<-
4-----0-------7----- 6--$$ --
(-$J-%-#-< &-,-------<-
C*A-- - --5-K-0-%-L-%-!--!$D<-&-----
$-- 6-A---$-0-,--<-4%-- ------ 6--<-4--
---0-----7----- 6--$$ <
<3+#VaFb-#
=+
−
"+(+R%&
<3+#4-#
+
−
&(#+2#((/D-(c*&