!"#$%$&'()*+',-$
!"!"#$%#
!! ! " " " # " #
#
&'#(')*$+,-./#,(0)'123.#$(#'4.)$++#3'*5+.6#*2+0,5+,3$0,4.#7$30')#$(1#8'+4.#7')#09,8#7$30')#
:;#,*5'8,(<#09.#(')*$+,-$0,'(#3'(1,0,'(=#
!! ! ! #" " " # "
! ! !! !!
$
! %! # " " " # " $& %! # " "
$
! ! $! # % " " " !& " " " !& " " " !'
#
! !
&
$&
" " $ ! ! ! # &( $ #
"# "
$
!
&(
>.3$28.#$(#'4.)$++#59$8.#,8#59;8,3$++;#*.$(,(<+.88/#?.#39''8.#!#0'#:.#).$+#$(1#5'8,0,4.=#
! ! ! " "##@.(3.#09.#(')*$+,-.1#,(520#80$0.#,8#
!! !
#
"
#
" " $# " "#
A,B.?,8.=#
! ! ! ! # " " !" "
$
%
&%
$& ! ! ! # " "
" ! ! # # " " !" " $ ! # " " !" "
#
!! !
"
%
" "
#
"$ " " $! !
!
#%$ #
"
!"
%
$(1#
! ! ! ! # ! " " "## ! "
#
% #
$
" ! ! # ! " " ""## ! "
!! !
!
"&
" "
"
"&
$&%! # ! "
" "## ! "
$& ! ! ! # $ " "
#
"" " " $ ! !
%
#"& $ #
"## ! "
:%##&9.#5)':$:,+,0,.8#7')#80$0.#!#$).#
#
P!"! " ! ! !
#
" !
#
$
%
! ! &% "
$
#
"
$
%
! ! ! &% ! "
#
"
$ #
%
"
'
#%
#
#
P!"! ! ! " !
#
! !
#
$
%
" " &% !
$
#
!
$
%
! " " &% ! !
#
!
& #
%
!
!'
#%
#
C')#09.#'09.)#$6.8/#?.#<.0#
#
P!"! ! "
P!"" ! "
!"##"#$%
! !!
#
!
#
!
" !!
#
"#
"
!
#
! !
!
#
!
#
! "
!
#
$#
" $#
"
%
$
%
! ! &% "
$
#
"
! $
# %
!
! &
# %
$
%
! ! &% "
$
#
"
! $
# %
"
! &
# %
#
"
&'
%(
#
"
!
%(
#
#&#%
!"#$%$&'()*+',-$
!
P!"! ! "
!
P!"" ! "
!
! !!
#
" !!
#
#
"#
"
!
#
! "
"
#
!
#
! !
"
#
$#
" $#
"
$
%
! ! &% "
$
#
"
! $
# %
"
" &
# %
$
%
! !
$
#
"
! $
# %
"
" &
# %
&
%
"
#
"
!
#
#
"
!
#
!
"#$!%&'()(*+*,*$-!.'&!-,),$!/!)&$!
!
P!"! " ! ! !
!
" !
#
#
$
! !
!!
$
"
$
!
P!"! ! ! " !
!
! !
#
#
$
" "
!!
$
!
$
!
!
P!"! ! "
!
! !!
!
P!"" ! "
!
" !!
!
P!"! ! "
! !!
!
!
!
!
" !!
P!"" ! "
#
"#
#
!
! !
#
!
#
!
! "
#
!
$#
" $#
#
!
! "
"
!
"
#
!
! !
"
!
"
#
"#
"
"
$#
" $#
!
"
#
$
!
!
!!
$
#
$
! !
!"
$
#
$
! !
!"
$
$
" $
#
$
! !
!"
$
"
#
$
! !
!"
$
"
$
" $
!
" #$ !
!
! %$ !
!
"
#
#%
!
!"
#%
!
"
#
#%
"
!"
#%
!
"
#
#%
!
!
#%
!
"
#
#%
"
!
#%
!
"
#
!
!
"
#
!
!
" #%&
!
" #%#
!
!
"#$!%&'()(*+*,*$-!.'&!-,),$!0!)&$!
!
!
#
P!"! ! ! " !
P!"! ! "
!
"
!
P!"" ! "
!
P!"! ! "
!
"
P!"" ! "
"
!
#%
!
!
"
#%
" !!
!
#%
"
$
#%
" !!
! !!
!
#%
!
"
"
#%
#
" !
! !
! !!
!
#%
"
!
#
P!"! " ! ! !
$
#%
"
#
"
#
#
#
!
$%
! "
!"# ! "
$
$%
!
$%
" !
$
$%
!"# ! !
$
#
! !
$
#
"
$#
!
$%
$
#
"
! !
#
#
"
#
$
#
! "
$
#
"
$#
!
$%
! "
#
$
#
! "
"
#
"
$#
!
$%
! "
#
$
#
! !
"
#
"
$#
!
$%
! "
#"# ! " # #%& ! #%$ ! #%! # '() #! $ "
#
$
$%
$
#%
$
$%
$
#%
$
$%
#
" $%& !
#
!"# ! ! $%$ !
"## ! "
$
#
*
#%
$
$%
"## ! " # #%& ! #%$ ! #%! # '() #! $ "
#
!
$%
$
$%
"## ! " # #%& ! #%$ " #%! # '() #! $ "
#
"
#
! "
#"# ! " # #%& ! #%$ " #%! # '() #! $ "
#
$
"
## !
"
$
#
!
$!
#%
#"# ! "
$
#
#$% " ! ! $ $ %*#+ !
# " $
#$% ! ! ! $ $ %*,"# !
#
!
!
!
!
!"##"#$%
%
#&$%
!"#$%$&'()*+',-$
!"##$%&'()#*+&%&(+*,#
" $ %
! ! ! !" # $
# % '&
!& !
#
!$ !
!
-"##.'+/%/(0(&(12#(*#3%&'()#*+&%&(+*#
P!"! " ! ! !
#
P!"( " ( ! !
#
P!"! ! "
!
"
"
#!
#
$
$ !
#!
!
"
" ! %
#$
# &! '&
"
$ %
#$
!) $ '
# ("
&
!
!'
#
$
" ' %
!
"
% &$
# ( '&
$
" ' %
!
"
% &$
# ( '&
P!"! " "
P!"( " "
!"##"#$%
!
"
"
' #
%
"
)
#%
( #
%
"
!*
#%
#
$
#
!
%
" ' %
&$
"
# ( '&
! !!
#
( !!
#
"
!
#
#!
(!
$
" ' %
!
"
% &$
# ( '&
! !!
#
"
!
#
#!
(#
$
!
%
( !!
#
"
!
#
#! #$
!
%
" ' %
&$
"
# ( '&
"
!
#
!
#
P!"! ! "
#
! '
# %
!
! (
# %
#
"
()
%$
#
#
! '
# %
(
! (
# %
! '
# %
(
# (
# %
#
"
!
%$
#
"
!
#
"
!
#
#
" ' %
&$
"
# ( '&
#
%
! '
# %
!
# (
# %
#
#&'%
!"#$%$&'()*+',-$
P!"! " ! ! !
!
P!"( " ( ! !
!
P!"! " "
"
"
"
!
! !!
##
#
$
$ #
"
#
!
##
!
$
" # %
#
&
"
% $
# !! '&
$
" # %
#
&
"
% $
# !! '&
P!"! # "
P!"( # "
P!"! " ! ! !
#
P!"" " " ! !
#
P!"! # "
#
! !!
"
"
#
"
#
#
#$
#
"
! !!
!
"
#
!
##
( !!
!
"
#
!
## !$
%
% $
$
#
#$
P!"! $ "
P!"" $ "
#
$
$
#$
"
'
%
#
#$
!
!!
#$
!
"
#
!
!
!
$
$
" # %
#
&
"
% $
# !! '&
#
%
" # %
&$
"
# !! '&
#
#$
(
!!
#$
#
#$
!
!
#$
!
"
!
" #$(
#
!
!
!
$
$
$
! '
$
&
"
"# ! )
$% &
% "!
(
#
#$
(
!
#$
!
" #$#
!
$%
#
" $%'
#
$
$
#
! !!
#
"
$
#
#$
" !!
#
"
$
#
#$ "$
$
#
!
" # %
#
&
"
% $
# !! '&
(#
(!
!!
%
#
" !!
"
#
%
!
$
! '
$
&
"
"# ! )
$% &
% "!
(
"$
""
" !"# !
$%
#
" $%$
!
#%
"
#
$
$%
!
P!"! # "
##
!
#
!
"
" # %
#
&
"
% $
# !! '&
$
#
( !!
"
!
!
!
P!"! " "
#
%
$
! '
&&
"
"# ! )
% "!
(
$
#%
#
!"# ! "
(
#%
!
#
$
$
! '
$
&
"
"# ! )
$% &
% "!
(
$
$
! '
$
&
"
"# ! )
$% &
% "!
(
#
!
#%
!
$
#%
!"# ! "
!
#%
!
"
#%
!"# ! "
#
#
#
$
$%
$!
#%
$
! '
&&
"
"# ! )
% "!
(
!
#%
"
"
#%
#
!"# ! "
$
#%
$
#%
#$% " ! ! $ * %)#*
#$% ! ! ! $ * %)(+
!
!
!
!
!
!
!"##"#$%
%
#&'%
!"#$%$&'()*+',-$
!"#$%&$
'(%()$!$
!! !
" "!
!
"
"
#
"
#! ! " " " # "
#! ! ! ! $!!!$!!!# "% " " #% " $
$
"%
!
"
" !#%
#
"
#
#! !
#
"
!
"
" "!
$
#
"
" !$
!
#
" !$
$
! $!!!$!!!"% ! "!#% #
" " # ! !!!!$!!! " "
#
#
#
" "!
!
"
"
" "
!
#
"
#
! !!!!$!!!" !
"
#
#
"
'(%()$#$
!! !
"
#
#! ! ! " " " "
#! ! ! ! $!!!$!!!# !% " " "% " $
$
!%
"
#
" "%
!
#
!
#! !
!
"
#
"
" " !"" $
"
#
!
#
"
#
" "
$
$
! $!!!$!!!!% ! "% !
! " " ! "!!!$!!! ! "
!
#
" "
!
!
&
! "!!!$!!!! !
!
#
'(%()$*$
!! !
"
#
#
$! ! # " " $ #
$
$ ! ! ! ! %!!!%!!!# #& " " $& # $
#&
"
#
" !"" $ $&
"
#
#
"
#
" " !"" $
$! !
#
"
#
$
# !%
! %!!!%!!!#& ! #!"" $ $& !!!%!!!$ ! ##!"" $
# " $ ! "!!!%!!! # " # ! "!!!%!!!# !
#
"
#
#
" # !"" $
"
#
#
$
"
#
#
+&$$,--).$/.0123(4$
!"##"#$%
%
#&'%
!"#$%$&'()*+',-$
!
"
" "!
#
"
!! ! #
!
"
" "!
#
"
!
"
" "!
#
"
!
$
" "
#
$
!
$
" "
#
$
!
$
" "
#
$
!
#
" ""
!
#
" ""
!
#
" ""
!! ! "
! # !!
!# !#
!
!# !"
! " !!
!" !#
!" !"
!
"#$!
#
!#
!#
!#
!#
!#
!#
!#
!#
!! !! !
$#
" $#
" $#
" $#
" $#
" $#
" $#
" $#
" $#
"
!
"
!
$
!
#
!
"
!
$
!
#
"!# %
#
"!# %
#
"!# %
#
$
" " " $!
"
! #! " ! # # $
" "
" $! "
! ## " !$
" "! " $!
"
! #! " ! # # $
" " " $! " !!
!
" "
" $!
"
! #! " # " ! # $
" "! " $! "
! ## " !$
" " " $!
"
! #! " # " ! # $
" "
" $! " !!
" "!
" ! !" " #" ! !
#
"
# #!
!$
#
$
!
!$
"!# %
#
!
&
#
"
!
!$
#
$
%
!
&
#!
!$
!
$
!
!$
%
$
"!# %
#
#"!# %
!'
!
!'
#
"
!
"
#!"!#
&
!
!$
!
!'
!
&
#!"" !#
&
#"" !# %
!'
!
$
#
$
!
!'
!
#
"!# %
#
!
#
%
!
&
!
!'
!
#
%&'()(*+*,-!'.!/0)12&*34!!3!*3!1,),0! ! !*1!
!
P!" ! !" !
!
!
%&'()(*+*,-!'.!1)/0!/0)12&0/03,!*.!1,),0!*1!56)3407!,'! !"! " !*1!
P!" !#$% ! !" &'!"
"
! &'! !" "
"
!
!
"
! !" "
8'!,60!9&'()(*+*,-!*1!2356)3407#!
!
"#:!
!
!
!
" " ! !# !
!
"$ ! !% !
!
!"
#
!
P#"" ! !
#
!
"!
P#"! ! !
!!
#
!
P!"! ! !
!
#
! #$
! #"
P!"! ! !
!"
#
!
!
P#"" ! !
"!
#
!
! !# !
P#"! ! !
!!
#
!
!
#
! "$ ! " !!!"!!! " !
#
! %$ ! % !!!"!!! % !
#
! # $ ! # !!!"!!! # !
$"
!$!
!$!
! "$ " " # $ !
$
" " %$
$
" " #$
!
#
!
#
#
#
#
#
#
#
#
!
#
#
#
!
#
!
!
#
!
!
!"##"#$%
%
#&!%
!"#$%$&'()*+',-$
!"#$%&$$'())*+,-$.-)/,0)$(1$%$2-%)/.-2-30$(1$04-$)5*3$6(25(3-30$!7$%.-$%,8%9)$!! ! ! $1(.$%$
)5*3:!$5%.0*6,-"$$'.(+%+*,*0*-)$%.-$
$
#
"#
P!! ! " ! !
!
" !
!
"#
! !!
#
"#
P " "!
! "! !
!
"
!
"#
! !!
#
"#
$
" $
"
!
"
!
"#
!
"
#!
"#
!
" "#$
!
"
$
%
"#
+&$ $ '())*+,-$.-)/,0)$(1$ %$ 2-%)/.-2-30$(1$04-$)5*3$ 6(25(3-30$!;$%.-$%,8%9)$ !! ! ! $ 1(.$ %$
)5*3:!$5%.0*6,-"$$'.(+%+*,*0*-)$%.-$
$
P! ! "
P" ! "
!!
!
!
!
!
"!
6&$$<*)0(=.%2>$
#
"#
"
"
!
! !
"
!
"
!
! "
"
!
$#
" $#
"
!
"#
! !"
#
"#
!
"#
! !"
#
"#
$
" $
"
!
"
!
!$
!"
#
!$
!
"
!
!$
""
#
!$
P
P-
!
"
"
!
!
"
"
!
$
P
1
1
P-x
P+x
- —2
—
2
P+
- —2
Sz
—
2
Sx
$
$
!"?$%&$$'())*+,-$.-)/,0)$(1$%$2-%)/.-2-30$(1$04-$)5*3$6(25(3-30$!7$%.-$%,8%9)$!! ! ! $1(.$%$
)5*3:!$5%.0*6,-"$$'.(+%+*,*0*-)$%.-$
$
P!! ! " ! !
!
#
"#
" !
!
!
"#
! ! !"
#
"#
"
!
$
$
!
"
!
!$
!
!"
#
!$
!
"
!
"
!
$
P " "! "
! ! !"
" ! "
""
"
! "! !
+&$$ '())*+,-$.-)/,0)$(1$ %$ 2-%)/.-2-30$ (1$04-$)5*3$ 6(25(3-30$!;$%.-$%,8%9)$ !! ! ! $ 1(.$ %$
)5*3:!$5%.0*6,-"$$'.(+%+*,*0*-)$%.-$
$
P! ! "
P" ! "
!"##"#$%
!!
!
!
!
!
"!
"
"
!
!
!
"#
#
"#
!
#
"#
!
"#
! ! !"
#
"#
"
!
"#
! ! !"
#
"#
"
%
!
!$
!
!
$
$
#
!$
!
"
!
"#
!
"
#"
"#
!
" "#$
!
" "#%
"
!
$
#&'%
!"#$%$&'()*+',-$
!"##$%&'()*+,-#
P
P
1
1
P-x
P-
P+
- —2
—
2
P+x
Sz
- —2
—
2
Sx
#
#
./0#+"#$1+2&#(*#'+%3&-##$#(*#4#
5"#6+!7#*1&83'#%&#198+33:#3%;13:#&(#
#
P! !
!
"
P" !
!
"
!"##$%&'()*+,-#
#
P
1
PT
PH
Tails
Heads
Side
#
#
./<#+"#=%>#&%21&#?%'7#.@#A@#B@#C@#D@#(*#E#2('&/#
5"#6+!7#*1&83'#%&#198+33:#3%;13:#&(#
#
P! ! P" ! P# ! P$ ! P% ! P& ! !& #
!"##$%&'()*+,-#
P
1
1 2 3 4 5 6
Roll
#
#
#
#
#
#
#
!"##"#$%
%
#&'%
!"#$%$&'()*+',-$
!"#$%&$'($)*++,-./$0,/$1*2-,3%4,*3+$5,46$!!$)*++,-./$372/8,1%.$8/+7.4+9$
! ! """
# ! " " !$ ! " "
% ! " " #$ ! " !$ # " "
& ! " " %$ ! " #$ # " !$ % " "
' ! " " &$ ! " %$ # " #$ % " !$ & " "
( ! " " '$ ! " &$ # " %$ % " #$ & " !$ ' " " $
) ! ! " '$ # " &$ % " %$ & " #$ ' " !
* ! # " '$ % " &$ & " %$ ' " #
"+ ! % " '$ & " &$ ' " %
"" ! & " '$ ' " &
"! ! ' " '
$
-&$ :%16$ )*++,-./$ 0,/$ 1*2-,3%4,*3$ ,+$ /;7%..<$ .,=/.<>$ +*$ 46/$ )8*-%-,.,4,/+$ *?$ 46/$
372/8,1%.$8/+7.4+$%8/$46/$372-/8$*?$)*++,-./$1*2-,3%4,*3+$0,@,0/0$-<$'(9$
$
P! !
"
#$
%!P# !
!
#$
! "&" %!P' !
#
#$
! "!" %!P( !
P& !
(
#$
%!P) !
'
#$
! ") %!P"+ !
#
#$
! "!" %!P"" !
! ") %!P$ !
'
#$
!
#$
%!P* !
(
#$
! "&" %!P"! !
$
#$
! "$ %
"
#$
$
A*4/$46%4$46/$+72$*?$46/$)8*-%-,.,4,/+$,+$73,4<$%+$,4$27+4$-/"$
1&$$B,+4*C8%29$
P
1
Roll
2 4 6 8 10 12
$
$
!"!D$%&$E6/$)8*-%-,.,4,/+$?*8$+4%4/$!$%8/$
!"##"#$%
$
" $
#
" !
$
%
! ! ! %& "
#
"
P!"" " " ! !
#
"
$
%
! ! ! %&
#
" ! %& "
! !!
#
"
P!"" " "
#
"
" !!
P!"! # "
! !!
#
#
P!"" # "
" !!
#
#
P!"! " "
$
#
"#
P!"! " ! ! !
#
"#
"#
"#
"
!
#
! !
!
#
!
#
! "
!
#
!
#
! "
!
#
!
#
! !
!
#
$#
" $#
" $#
" $#
"
%
$ #
%
"
#
!'
#%
(
#%
$
%
! ! ! %& "
$
#
"
! $
# %
!
! &
# %
$
%
! ! ! %& "
$
#
"
! $
# %
"
! &
# %
$
%
! ! ! %& "
$
#
"
! $
# %
!
! &
# %
$
%
! ! ! %& "
$
#
"
! $
# %
"
! &
# %
#
"
!
#
#
"
!
#
#
"
$(
%)
#
"
!
%)
$
#&'%
!"#$%$&'()*+',-$
!"#$%&'()(*+*,*#-$.'&$-,),#$/$)&#$
$
#
"#
$
" $
P!"! " ! ! !
!
" !
#
$
! " ! $% "
!
"
P!"" " " ! !
!
"
#
$
! " ! $%
!
" "! $% "
P!"! " "
! !!
!
"
P!"" " "
" !!
!
"
!
#
! !!
!
#
" !!
P!"! # "
P!"" # "
#
"#
"#
"#
"
&
!
! !
&
!
&
!
! "
&
!
&
!
! "
!
!
&
!
! !
!
!
$#
" $#
" $#
" $#
"
# !
$
"
&'
!$
!
(
!$
#
$
! " ! $% "
$
!
"
& #
! $
"
! %
! $
#
$
! " ! $% "
$
!
"
& #
! $
!
! %
! $
#
$
! " ! $% "
$
!
"
& #
! $
"
& %
! $
#
$
! " ! $% "
$
!
"
& #
! $
!
& %
! $
#
" "
& $
# %
!
! !
# %
!
"
&
!
!
"
&
!
!
"
&
$)
!
"
#(
$)
$
!"#$%&'()(*+*,*#-$.'&$-,),#$0$)&#$
P!"! " ! ! !
#
P!"" " " ! !
#
$ "" "
" " #" ! ! ! " $ " ! "
"# ! !
" $# " ! ! ! " $
$
%
#
"
! !!
#
"
" !!
P!"! # "
#
#
! !!
P!"" # "
" !!
#
#
P!"! " "
$
" ! # " $% ! ! ! %! "
P!"" " "
#
"#
"#
"
&
#
&
#
! "
&
#
&
#
! "
!
#
&
#
! !
!
#
$ #
%
#
!
%
&
#
#
! #
%
$
%
$# "
" $# "
" $# "
"
&'
#%
(
#%
!
%
$
%
! ! ! %! "
$
#
" "
& $
# %
"
! !
# %
$
%
! ! ! %! "
$
#
" "
& $
# %
!
& !
# %
$
%
! ! ! %! "
$
#
" "
& $
# %
"
& !
# %
#
"
&
#
#
"
&
#
#
"
&
%)
#
"
$(
%)
$
(1$$2,),#-$/$)34$0$4*..#&$'3+5$(5$)3$'6#&)++$%")-#$'.$ !"! ! "! 7$-'$,"#$8#)-9&#8#3,$&#-9+,-$
)&#$ ,"#$ -)8#:$ ,"#$ -,),#-$ )&#$ %"5-*;)++5$ *34*-,*3<9*-")(+#=$ $ 2,),#-$ >$ )34$ /$ ")6#$ 4*..#&#3,$
&#+),*6#$%")-#-$(#,?##3$,"#$;'#..*;*#3,-7$-'$,"#5$%&'49;#$4*..#&#3,$&#-9+,-=$
$
>=>>$)1$$@'--*(+#$&#-9+,-$'.$)$8#)-9&#8#3,$'.$,"#$-%*3$;'8%'3#3,$!A$)&#$)+?)5-$!! ! ! $.'&$
)$-%*3B!$%)&,*;+#=$$@&'()(*+*,*#-$)&#$
$
#
"#
P!! ! " ! !
!
" !
"
"#
! !!
$
"#
P " "!
! "! !
!
"
"
"#
! !!
$
"#
$
" $
"
!
"
!
"!
"
"#
!
$
"#
"
!
%
"#
"
# &'!(
!$
"#
$
# &')#
(1$$C.,#&$,"#$8#)-9&#8#3,$&#-9+,$'.$,"#$-%*3$;'8%'3#3,$!A$*-$ !! ! ! 7$,"#$-5-,#8$*-$*3$,"#$
! $#*<#3-,),#$;'&&#-%'34*3<$,'$,"),$&#-9+,=$$$!"#$%'--*(+#$&#-9+,-$'.$)$8#)-9&#8#3,$'.$,"#$
-%*3$;'8%'3#3,$!D$)&#$)+?)5-$!! ! ! $.'&$)$-%*3B!$%)&,*;+#=$$!"#$%&'()(*+*,*#-$)&#$
$
P! ! "
P" ! "
!"##"#$%
!
!
! ! "#$%&
!
" ! "#$%&
!
"
"
!
!
!"
!
""
!
#
"#
"
%
"
!
! !
"
!
"
!
! "
"
!
$
"$"
" "
!
"
!
" "
"
!
!
"
!
"
"
!
!
"
$
"
!
#&#'%
!"#$%$&'()*+',-$
!"#
$%&'(&)*#
|+〉
Z
|−〉
26
74
#
#
|+〉
26
|+〉x
X
Z
|−〉
|−〉x
37
37
#
#
+,+-# # ./(# &# *0*12)# 3%14# 14(22# 5/**%672# )2&*8(2)291# (2*871*:# !+;# !-;# &9<# !=;# 142# 14(22#
2%'29*1&12*#&(2# !! ;# !! ;#&9<# !! #
>(14/'/9&7%10:#
!! !" ! #
!! !$ ! # #
#
!" !$ ! #
?/()&7%@&1%/9:#
!! !! ! !
!" !" ! ! #
#
!# !# ! !
A/)5721292**:#
! ! !! "! " !" "" " !# "# #
#
#
+,+=# &"# ./(# &# *0*12)# 3%14# 14(22# 5/**%672# )2&*8(2)291# (2*871*:# !+;# !-;# &9<# !=;# 142# 14(22#
2%'29*1&12*# !! ;# !! ;#&9<# !! #&(2#
#
!
! ! $
! "
#
&
!! ! " !!!! !# ! # !
#
&
#
" " %
" "
$
! "
& !!!! ! ! # "
$
&
#
%
" !
$
&#
&
%
#
!"##"#$%
%
#&##%
!"#$%$&'()*+',-$
!"#$%#&'()*+#%,('(*,%-#(./#0('(/#*0#
# ! &
#
! ! % "" ( #
%
(
$ # '
!
1./#0('(/#2*3/%#*0#%,(#%,)&'4*5/6-#0,#7*)0(#8/#%,)&'4*5/#*(9#
#
# ! &
! ! ! % "" (
%
(
$ # '
! ! ! ! ! !$
"
# ! &
$
! "" # ! % "" ( ! ! ! "! $ % $ "# # ! !!!!)!!!! ! !
%
(
$ # '
#
#
&'
1./#:),!'!*4*(*/0#')/#
"
P!! ! !! !
"
!
"!
# #
#
# ! &
! %
"" ( !
$#
%
(
$ % '
#
# ! &
! %
"" ( ! "
$#
%
(
$ % '
#
# ! &
! %
"" ( !
$#
%
(
$ % '
!
$#
"
!
!
$#
"
!
!
"%
$#
"
#
P!" ! !" !
"
!
"
# ! #
"
$#
&
$#
#
"
P!$ ! !$ !
"
!
"
;*0(,2)'&9#
# # !
"
P
Pa3
1
Pa1
Pa2
a1
a2
<"#$%#&'()*+#%,('(*,%-#(./#0('(/#*0#
#
%
$#
a3
A
#
" ! %
! ! $ "! ' #
$
'
# # &
!
#
!"##"#$%
%
#&#$%
!"#$%$&'()*+',-$
!"#$%&'&#$()*#+$)%$+,&$+,-.'/)0#12$%,$3)-%&$4#$+,-.'/)0#$)&5$
" ! %
! ! ! $ "" '
$
'
# # &
$
! ! ! !$
"
" ! %
$
! ("" # ! $ "" ' ! ! ! " % $ & $ # # ! '!!!)!!!! ! ' '"
$
'
# # &
$
#
!"#$6-,7'7)/)&)#%$'-#$
"
P!! ! !! !
"
!
"!
# #
#
" " %
! $
$" ' !
!$
$
'
# # &
#
" " %
! $
$" ' !
!$
$
'
# # &
#
" " %
! $
$" ' !
!$
$
'
# # &
"
!$
"
! !$%
"
! !$& $
"
!#
"
P!" ! !" !
$
"
!
"
# ! #
$"
!$
"
P!$ ! !$ !
"
!
8)%&,(-'.5$
"
# # !
#
!$
P
1
Pa2
Pa1
Pa3
a1
a2
a3
A
$
$
9:9;:$ !"#-#$ '-#$ 3,<-$ 6,%%)7/#$ .#'%<-#.#+&$ -#%</&%5$ =$!"2$ ;$!"2$ >$!"2$ '+1$ ?$!":$ $ !"#$
6-,7'7)/)&)#%$'-#$
P! ! !" ! !!!" !
!
P% ! !" ! %!!" !
!
"
# !!!" " # %!!" " !!## & &!!" " ' $!!"
#$
! %!!"
"
# !!!" " # %!!" " !!## & &!!" " ' $!!"
#$
$
!"##"#$%
#
! !!!"
#
%
$
!
$
!
!
$
#$
$
!
"
#$
#&#'%
!"#$%$&'()*+',-$
P! ! !" ! !!!" !
"
P% ! !" ! %!!" !
"
#
! "!!"
#
$ "!!" " # &!!" " "!## ! !!!" " ' %!!"
$%
! "!!"
#
$ "!!" " # &!!" " "!## ! !!!" " ' %!!"
$%
!
#
"#$%&'()*+!
$
"
$
"
!
&
$%
!
!
"'
$%
P
1
P9
P2
2
P4
P7
4
7
9
E (eV)
!
!
,-,.!/01!2(&3)3#4#%5!#$!
!
!
P! ! ! ! ! ! "
!
" """
# #
"
!
! "
# $
#
#" "
"""
#
!
!
"
#
"
$
#! "
"
#
" "
" !
#
"
$
##
! " !
"
%
&
%
$#
#" "
"
#
!
#
#!
$
!
!
'
%
!
,-,6!/01!*1)$7(18!2(&3)3#4#%#1$!)(1!
!
P! "
!
"
P! ! "
#
$
P! " " %&%'(
P! "
!
"
P! ! "
!
$
P! " " %&)##
!
9(#%1!%01!#:27%!$%)%1!)$!
! ! ! " "" " !
!
;<7)%#:'!%01!2(18#=%18! !" !2(&3)3#4#%#1$!):8!%01!1>21(#*1:%)4!(1$74%$!'#?1$!
!
P! " ! !
!
P" " " !
!
" ! #! ! ! " "
$
!" " $
!
" ! " "! !!!#!!!! "
"
!
" " #! !
!
" " " "! !!!#!!!" "
"
!
!
!
#$$
!
)44&@#:'! A&(! )! 2&$$#341! (14)%#?1! 20)$1-! !;<7)%#:'! %01! 2(18#=%18! !" ! 2(&3)3#4#%#1$! ):8! %01!
1>21(#*1:%)4!(1$74%$!'#?1$!
!
P! ! "
!
"
"
#
!!
!
"
"
!
# ! ! "$ #!
"
!
#" ! " $#" ! " $ " #" ! " ! "
##
"##
"
#
$ " #" ! " $
$ " #" ! $%&#$ "
! "## "
##
! ""##
!
"
!
"
!
##
!
'
#
!
$%& # " "! !!!$!!!# " %' !!!$%!!! (%'
!
!
!"##"#$%
%
#&#'%
!"#$%$&'()*+',-$
!"#$%&'()%*+),-+.&/%+.) !" ),-01$1&2&%&+3)$'.)%*+)+4,+-&5+'%$2)-+3#2%3)(&6+3)
)
P! ! "
!
"
"
#
!!
!
"
"
!
# ! "" " $ # !
#" " "# $#" ! "# $ " #" ! " " "#
"#
""#
$%& # " "'(+))!!!$!!!# "
7+'/+)%*+)&',#%)3%$%+)&3)
)
! !
"
#
#%
,
!
"
"#
!
! "#""#
!!!$%!!! -%, !!!$!!!# "
# " "!
$ " #" " "# $
$ " #" ! $%& #$ " '(')* )
! #"# "
"
!
"#
"
!
!
"
!
-%
,
$
" #$"
# ! " !% #$ ! " &!% ! # " $ )
"
$
)
898:) ;0220<) %*+) 302#%&0')5+%*0.) (&6+')&') %*+)2$1)*$'.0#%9))=&>) ;0-)#'?'0<')'#51+-)8@)
%*+)5+$3#-+.),-01$1&2&%&+3)$-+)
)
P! " ! P! ! "
!
"
P! " "
!
"
P! " # P! ! "
!
"
P! " "
!
"
)
A-&%+)%*+)#'?'0<')3%$%+)$3)
!! ! ! " " " " )
)
!"#$%&'()%*+),-+.&/%+.) !" ),-01$1&2&%&+3)$'.)%*+)+4,+-&5+'%$2)-+3#2%3)(&6+3)
)
P! " ! ! !
"
P" " " ! !
"
" ! #! ! ! " "
$
!" " $
"
" ! " !!!!#!!!! " !
" " #! !
"
" " " #!!!#!!!" " #
"
"
)
7+'/+)%*+)#'?'0<')3%$%+)&3)
!! ! " )
)
<*&/*),-0.#/+3)%*+),-01$1&2&%&+3)
)
P! " ! ! !
"
" !!
P" " " ! !
"
" !!
P! ! "
! !!
"
!
P" ! "
" !!
"
!
P! " "
! !!
"
"
P" " "
" !!
"
"
#
"#
"#
"#
"
"
"
"!
"#
!
"
! !
!
"
!
"
! "
!
"
!
"
! "
#
"
!
"
! !
#
"
$
"$!
"$!
"$!
" !
"
"
!
"
"
"
!
"
"
"
!
"
"
"
!
"
)
&')$(-++5+'%)<&%*)%*+)+4,+-&5+'%9)
)
!"##"#$%
%
#&#'%
!"#$%$&'()*+',-$
!""#$$%&'$()*)&+)$)(,-.'$/0$12.$,.34('.5$6'&-3-"7"1".4$3'.$
$
P! "
!
"
P! ! "
!
"
P! " " #
P! "
!
"
P! ! "
!
"
P! " " !
$
8'"1.$12.$()*)&+)$4131.$34$
!! ! ! " "" " $
$
9:(31");$12.$6'.5"<1.5$ !" $6'&-3-"7"1".4$3)5$12.$.=6.'",.)137$'.4(714$;">.4$
$
P! " ! ! !
!
P" " " ! !
!
" ! #! ! ! " "
$
!" " $
!
" ! " "! !!!#!!!! "
"
!
" " #! !
!
" " " "! !!!#!!!" "
"
!
!
!
#$$
$
377&+");$ ?&'$ 3$ 6&44"-7.$ '.731">.$ 6234.@$ $9:(31");$ 12.$ 6'.5"<1.5$ !" $ 6'&-3-"7"1".4$ 3)5$ 12.$
.=6.'",.)137$'.4(714$;">.4$
$
P! ! "
!
"
"
#
!
! !!
"
"
!
# ! ! "$ #!
! "## "
"##
! ""## "
"
!
#" ! " $#" ! " $ " #" ! " ! "
##
"
#
$
!
"
"
!
#" ! " $
##
$ #" ! $%&#$ "
##
"
!
!
"
!
$
$%& # " '!!!$!!!# " %! !!$%!! (%!
9:(31");$12.$6'.5"<1.5$ !" $6'&-3-"7"1".4$3)5$12.$.=6.'",.)137$'.4(714$;">.4$
$
P! ! "
!
"
"
#
!
! !!
"
# ! "" " $ # !
"
!
! #"# "
#" " "# $#" ! "# $ " #" ! " " "#
"#
""#
$%& # " ""!!!$!!!# "
A.)<.$12.$()*)&+)$4131.$"4$
$
"
!
!! !
"
!
"
#
"#
! "#""#
$ " #" " "# $
$ " #" ! $%& #$ " ' $
!
"#
"
!
!
"
!
(%
!
# " "!
" #"
!
$
# !
"
!
#"
#" # $! # #$
+2"<2$6'&5(<.4$12.$6'&-3-"7"1".4$
$
!"##"#$%
$ "
"! " $ "
# ! ! " $ # ! "! " $ "
$
# ! " " $ # ! "! " $ "
# ! "! " $ # ! "! " $ " #
# ! !! " $ # ! "! " $ ""
P! " ! ! !
!
" !
"
!
P" " " ! !
!
" "
"
!
P! " "
! !!
!
"
"
"
!
P" " "
" !!
!
"
"
"
!
P! # "
! !!
!
#
"
"
!
P" # "
" !!
!
#
"
"
!
#!
#!
!
"! "
!
"
!
"
!
"
!
"
!
%
"
!
"
!
!
"
!
!
"
!
!
!
#&#!%
!"#$%$&'()*+',-$
!"#$%&''('")#*!)+#)+'#',-'&!('").#
/!!!0##12&#3"4"2*"#"3(5'&#67#)+'#('$83&'9#-&25$5!:!)!'8#$&'#
#
P! "
!
"
P! ! "
!
#
P! " " $%$&'
P! "
!
"
P! ! "
(
#
P! " " $%)((
#
;&!)'#)+'#3"4"2*"#8)$)'#$8#
!! ! ! " "" " #
#
<=3$)!"%#)+'#-&'9!>)'9# !" #-&25$5!:!)!'8#$"9#)+'#',-'&!('")$:#&'83:)8#%!?'8#
#
P! " ! ! !
"
P" " " ! !
"
" ! #! ! ! " "
$
!" " $
"
" ! " #" !!!#!!!! "
#
"
" " #! !
"
" " " #" !!!#!!!" "
#
"
"
"
#$$
#
$::2*!"%# @2&# $# -288!5:'# &':$)!?'# -+$8'.# #<=3$)!"%# )+'# -&'9!>)'9# !" # -&25$5!:!)!'8# $"9# )+'#
',-'&!('")$:#&'83:)8#%!?'8#
P! ! "
!
"
#
$
#
"
! !!
"
#
"
# ! ! "$ #!
! "## "
"##
! ""## "
#
"
## ! " $## ! " $ " ## ! # ! "
##
%&' # " " #" !!!$!!!# "
"%
!
#
$
##
$
"
"
#
"
## ! " $
##
$ ## ! %&'#$ "
#
"
"
#
$
#
!!!$%!!! $!%
<=3$)!"%#)+'#-&'9!>)'9# !" #-&25$5!:!)!'8#$"9#)+'#',-'&!('")$:#&'83:)8#%!?'8#
#
P! ! "
!
"
#
$
"
! !!
"
#
"
# ! "" " $ # !
#
"
## " "# $## ! "# $ " ## ! # " "#
"#
""#
%&' # " "(),**!!!$!!!# "
$%
!
A'">'#)+'#3"4"2*"#8)$)'#!8#
!! !
#
#
$
"
#
! #"# "
"#
! "#""#
!!!$%!!! -%! !!!$!!!# "
# " "!
$ " ## " "# $
$ " ## ! %&' #$ " ()(*+ #
"
#
"
"#
"
#
"
$%
!
$
" $!"
# ! " !% #$ ! " &!% ! $ " $ #
#
!
*+!>+#-&293>'8#)+'#-&25$5!:!)!'8#
P! " ! ! !
"
" !
#
"
P# " # ! !
"
" #
#
"
#
P! # "
P# # "
!"##"#$%
#
! !!
"
"
#
# !!
# ! !!
# ! !!
" $!"
" $!"
$"
# $ "
# ! !!
# ! !!
#
"
#
"
"
#
"
"
#
"
# ! ! #$
#
"
"
#
"
# ! # #$
#
"
%
" $!"
" $!"
$
# $
#
"
"
#
"
#
"
## ! %&' $ "
"
#
"
## # %&' $!" $ " $!
$"
!
#
$
#&#'%
!"#$%$&'()*+',-$
P! ! "
"
!
! !!
"
#
"
# ! "" " $
#
"
"
!
" !!
"
#
"
# ! !" " $
#
"
!
P" ! "
#
# ! !#
! !#
$
" $
" $!#
"
" $!#
"
"
"
#
"
## ! %&' $!# $ " #" ## "
!
"
"
#
"
## " %&' $!# $ " #" ## !
!
"
$ " ()(*+
!
$ " (),!!
"#!$%&''('#)!*")+!)+'!',-'&"('#).!
/"01!!23&!4#5#3*#!#4(6'&!78!)+'!('$94&':!-&36$6";")"'9!$&'!
!
P! "
!
"
P! ! "
#
$
P! " " %&'$(
P! "
(
"
P! ! "
!
$
P! " " %&#!#
!
<&")'!)+'!4#5#3*#!9)$)'!$9!
!! ! ! " "" " !
!
=>4$)"#%!)+'!-&':"?)':! !" !-&36$6";")"'9!$#:!)+'!',-'&"('#)$;!&'94;)9!%"0'9!
!
P! " ! ! !
"
P" " " ! !
"
" ! #! ! ! " "
$
!" " $
"
" ! " #! !!!#!!!! "
#
"
" " #! !
"
" " " !$ !!!#!!!" "
$
"
"
"
#$$
!
$;;3*"#%! @3&! $! -399"6;'! &';$)"0'! -+$9'.! !=>4$)"#%! )+'! -&':"?)':! !" ! -&36$6";")"'9! $#:! )+'!
',-'&"('#)$;!&'94;)9!%"0'9!
P! ! "
!
"
#
%
!
&'( # "
"
! !!
## !
$
"
"
$"##
#
"
# ! ! $" " $
$ " ## ! $ ! $" !
# ! ! "$
$## !
$""##
##
#
"
"
"
##
#
%
## ! $" $
$ " #" ! $ &'(# $ " !
##
#
" "
$""##
"
#
!
)
%
!!!$!!!# " %* !!!$%!!! ##%
*
=>4$)"#%!)+'!-&':"?)':! !" !-&36$6";")"'9!$#:!)+'!',-'&"('#)$;!&'94;)9!%"0'9!
!
P! ! "
!
"
#
%
! !!
## " "
"
"
$#"#
#
"
# ! ! $#
$ " ## ! $ " "
# ! "" " $
$## ! "
&'( # " ")*+)!!!$!!!# "
,%
-
$#""#
#
"
"#
#
%
"
$
"
"
$#"# ! "
## " " $# $
$# $ " #" ! $ &'( # $ " )*"%$ !
"#
#
"
" "
""#
#
!
##%
!!!$%!!! ##%
- !!!$!!!# " -
A'#?'!)+'!4#5#3*#!9)$)'!"9!
!
!! !
"
#
" "
$
#
!
" """
%
# ! &'( "$ " " ()* "$ !
" """
%
# ! " !+ #$ ! # " ,!% ! """ $ !
$
%
*+"?+!-&3:4?'9!)+'!-&36$6";")"'9!
!"##"#$%
%
#&#'%
!"#$%$&'()*+',-$
!
P! " ! ! !
"
" !
#
"
P# " # ! !
"
" #
#
"
"
#
! !!
"
#
"
P# # "
"
#
# !!
"
#
"
P! $ "
! !!
"
$
"
#
"
"
$
# !!
"
#
"
P! # "
P# $ "
#! !
#! !
$!
$!
$
# $
" ##"
%
#
" ##"
%
"
"
"
#
!
"
$
!
#
$ " #" ! $ &'(
# ! # # $ # ! ! $! # $ " # " # $ &'(
# ! # " # $ # ! ! $! # $ " # " ! $ (+,
# ! ! " # $ # ! ! $! # $ " # " # $ (+,
# ! ! #$
! ! $!
#
"
" ##"
%
" ##"
%
#
"
#
"
" ##"
%
#
"
" ##"
%
#
"
#
!
##"
%
#
!
##"
%
"
"
$"
$"
$ " # " # $ " -."*$
$ " # " ! $ " -.)#)
)
*
#
*
#
!
##"
%
#
!
$
"
#
!
##"
%
#
!
$
"
"
!
"#!$%&''('#)!*")+!)+'!',-'&"('#).!
!
!
!"##"#$%
%
#&#'%
!"#$%$&'()*+',-$
!"#$%&'$
! # $ $
$
!" ! #
% & &%
"
!
()*$+,-'&$'.&$ !" $&-/&)0(12&$&32('-4)5$-)$6(',-7$)4'('-4)$
$
$
! ! " $ ! ! ! $
! ! ! ! $
#" # $ &% " #" ! &% ! " " " #" ! &%
! ! " $ ! ! ! $
! ! ! ! $
!
'
#" # $ &% " #" '! &%
" " #" '! &%
!
$
+.-8.$9-&1*5$
$
! ! " " ! !! !!!!!!!!!!!!# ! $ " ! !!
!
!
!! ! " " ! ! !!!!!!!!!!!!# ! $ " ! !
:410&$;9$(**-)/$()*$52;',(8'-)/$'.&$&32('-4)5$'4$/&'$
$
!
!
!! ! !!!!!!!" ! " !!!!!!# ! " !!!!!!$ ! ! $
<&)8&$'.&$6(',-7$,&=,&5&)'-)/$ !" $-)$'.&$ !" $;(5-5$-5$
$
$
"! " # $
!" ! #
$
! " # " &%
!
%&'$
! # $ $
!" ! #
$
% & &%
"
!
()*$+,-'&$'.&$ !" $&-/&)0(12&$&32('-4)5$-)$6(',-7$)4'('-4)$
$
$
! ! " $ ! ! ! $
! ! ! ! $
#" # $ &% " #" % &% ! " " " #" % &%
! ! " $ ! ! ! $
! ! ! ! $
#" # $ &% " #" '% &% ! ' " " #" '% &%
!
$
+.-8.$9-&1*5$
$
! ! "# " ! !! !!!!!!!!!!!!$ ! "% " !" !!
!
!
!! ! "# " ! ! !!!!!!!!!!!!$ ! "% " !" !
:410&$;9$(**-)/$()*$52;',(8'-)/$'.&$&32('-4)5$'4$/&'$
$
$
!
!
!! ! !!!!!!!" ! !# " !!!!!!$ ! # " !!!!!!% ! ! $
$
!"##"#$%
%
$&#%
!"#$%$&'()*+',-$
!"#$"%&'"%()&*+,%*"-*"."#&+#/% !" %+#%&'"% !" %0).+.%+.%
" " " !# %
!" ! $
%
! # # " '&
!
%
%
121%%3456"%&'"%."$75)*%"87)&+4#%
!"# !" ! " # ! $ %
%
%
!
!"
!
!
!
!
!"
!"%
3456"%&4%9+#:%&'"%"+/"#6)57".%
!
# !&
! "% ( ! "
$ !'
!
# !&
! !% (
$ !'
!
!
%
%
!
!!"
!
!
;'+$'% ;).% &4% 0"% ",-"$&":<% 0"$)7."% ;"% =#4;% &')&% &'"% 4#5>% -4..+05"% *".75&.% 49% )%
(").7*"("#&%49%)#>%.-+#%$4(-4#"#&%)*"% !! ! ! 2%%?+#:%&'"%"+/"#6"$&4*.2%%?4*%&'"%-4.+&+6"%
"+/"#6)57"@%
%
!! " # $! ! $
!! ! $
!
"
%
! #" # " &% #" " &%
! #" " &%
!
>+"5:.%
!!"%
%
A'"%#4*()5+B)&+4#%$4#:+&+4#%>+"5:.%
! ! ! ""
!
%
!
! "
!
"
!
%
C'44."%!%&4%0"%*")5%)#:%-4.+&+6"<%*".75&+#/%+#%
%
!!
!
"
"!
!
"
%
%
%
!"##"#$%
%
$&$%
!"#$%$&'()*+',-$
!"#$%&#&'(&)*&+$",#+",,&!-").')(#$"#$%&#-"!'$'*&#&'(&)*/01&#'!#
!
#
!
!
!
"
! ! $
#
##
" ! &%
!
2'3&4'!&5#$%&#&'(&)*&+$",#6",#$%&#)&(/$'*&#&'(&)*/01&#'!#
#
#
!! " # $! ! $
!! ! $
!' #
#
#
&
#
&
!" # " %" " %
! " " &%
!
! ! !" #
7%&#)",8/0'9/$'")#+").'$'")#:'&0.!#
! ! ! ""
!
#
!
! "
!
"
!
#
;%""!&#!#$"#<&#,&/0#/).#-"!'$'*&5#,&!10$')(#')#
!!
#
!
"
"!!
!
"
#
!"#$%&#&'(&)*&+$",#+",,&!-").')(#$"#$%&#)&(/$'*&#&'(&)*/01&#'!#
!
#
!
!
!
!
"
" ! %
#$
#
# !! '&
#
=>?#@,"8#AB>#CD>?EF5#4&#3)"4#$%&# !" #&'(&)!$/$&!#')#$%&# !" #</!'!G#
#
! "
!
"
! "
!
"
#!
#!
!
!!!!! !
!
!
!!!!! !
!
$
#
$
2&$#$%&#,&-,&!&)$/$'")#"6# !" #')#$%&# !" #</!'!#<&#
! # $ $
!" ! #
#
% & &%
"
!
/).#4,'$&#$%&# !" #&'(&)*/01&#&B1/$'")!#')#8/$,'H#)"$/$'")#
#
#
! ! " $ ! ! ! $
! ! ! ! $
#" # $ &% " #" ! &% ! " " " #" ! &%
! ! " $ ! ! ! $
! ! ! ! $
#" # $ &% " #" '! &% ! ' " " #" '! &%
!
#
#
#
!"##"#$%
%
$&'%
!"#$%$&'()*+',-$
!"#$#%&'#()%
! ! " " ! !! !!!!!!!!!!!!# ! $ " ! !!
%
!
!
!! ! " " ! ! !!!!!!!!!!!!# ! $ " ! !
*+(,#%-&%.))'/0%./)%$1-23.42'/0%2"#%#51.2'+/$%2+%0#2%
%
!
!
!! ! !!!!!!!" ! " !!!!!!# ! " !!!!!!$ ! ! %
6#/4#%2"#%7.23'8%3#93#$#/2'/0% !" %'/%2"#% !" %-.$'$%'$%
%
"! " # $
!" ! #
%
!# ! " #
" &%
!
%
:+;%)'.0+/.('<#=%
%
!
!"
!
!
!
!
!"
! "!!!!#!!!! " ! ! " !! # ! "!!!!#!!!! " ! $ !! %
!
.$%#89#42#)>%?'/)%2"#%#'0#/,#42+3$=%
!! " # $! ! $
!! ! $
!" #
!!!!'!!!!" ! ! %
#
&
#
&
!" # " %" " %
! " " &%
!
%
&'#()'/0%
! !
%
!
!"
!
"
! ! $
##
%
" ! &%
@'A#;'$#%
!! " # $! ! $
!! ! $
!!!!(!!!" ! '! %
!' #
#
&
#
&
!" # " %" " %
! " " &%
!
%
! !
%
!"
!
!
"
" ! %
#$
%
# !! '&
6#/4#%2"#%#'0#/,.(1#%#51.2'+/$%.3#%
%
!! " # $
! #" # " &%
!! " # $
! #" # " &%
!
#
!
! # $
!
$#
!"
&
!
" # %
#
!
! # $
!
#
$
!(
&
! #
!
" (# %
! # $
!
$#
!!!!!!!!'!!!!!" " ! " " !!!!#$
&
!
" # %
! # $
!
#
$
!!!!!!!!'!!!!!" ( ! ( ( !!!!#$
&
! #
!
" (# %
%
%
%
%
!"##"#$%
%
$&'%
!"#$%$&'()*+',-$
!"#$$%&'$(')'*+,$-+.*/0$/1$
! " # $
$
!!#
$ % &%
"
!
$
%&'$-+.*/0$','-').1$+*'$
! !! "
#!
! " # $! ! $
"
" #
" $ % &% #" " &%
#!
! " $
""
" #
" $ &%
! !' "
#!
! " # $! " $
"
" #
" $ % &% #" ! &%
#!
! # $
"#
" #
" % &%
$
$
$
' !! "
#
! " # $! ! $
"
" ! #
" $ % &% #" " &%
' !' "
#
! " # $! " $
"
" ! #
" $ % &% #" ! &%
$
$
$
$
#
! " $
"$
" ! #
" $ &%
#
! # $
"%
" ! #
" % &%
$
$
$
2')3'$4'$('.$
"
!!$
$
! #
$
! !! %
'$
! ! ! '&
! !!
! !!
$
!"5$%&'$36--7.+.6*1$+*'$
!!" " !# # !
$
! '$ % $ +
! " $ (! $ % $
! # & *#
'
#" % $ &% " $ % *)" % '$ &%
,$
! " $ ! $$ % $
! "$ ! & % $
!# & #
! $" # & #
&
" $ % " % '$$ %
" $ % " % '& &%
$
!
" " & % % " " % !$ %
" " % !$ % " " & % %
!!!!!
$ $# % !& '& $ $# $ % '&
$ $# $ % '& $ $# % !& '&
$
" % !$ % +
" " % (" % $ %
! $ ' *$
!
$# !$ % '& # $ & *)# $ % '&
,$
" " % " % $$ %
" "% " % & %
!$ ' $
! $" $ ' $
'
# $ & # $$ % &
# $ & # & % '&
$
!
$
! '$"!%
!!" " !# # !
!"##"#$%
" ! % '$ $ " ! % & $
" ! % & $ " ! % '$ $
!!'!!
$ #" $ % &% $ #" & % &%
$ #" & % &% $ #" $ % &%
$
! '$"!%
%
$&'%
!"#$%$&'()*+',-$
!!" " !# # !
"" & % % "" % & %
"" % & % "" & % %
!!!!! $
$
'
$
'
$ # % & '& $ $# & !% '&
$ # & !% & $ # % & &
(" & % %
" & !% % +
! $
*$
'
# % & '& -,
*)# !% & &
$
" "% " & $ %
" " % " & !$ %
!$ ' $
!
$"
$# '& $
# $ & # !$ & '&
$ # $ & '&
" "%
!$ '
# $&
!
$
!
! '$"!%
!
!
"#$!%&'!()*+!,-.)-+'+/!-)'01/-0!!+!*(!
!" ! !""!
!
! !# "#$ ! %&" " " !$ "#$ ! "#$ " " !% %&"!
!
2(*+3!/&'!.1/0*4!0')0'('+/1/*-+(!5-0!!46!!76"1+8!!9!3*:'(!
!
!" !
!
!
"! " # $
" ! " )# $
"! # " $
$%& ' '($ ( ! #
$%& ' $%& ( ! #
'($'
#
&
&
!" # " %
!" # " %
! " " )# &%
!
'($'
$%& ' '($ ( ) # $%& ' $%& ( $
"!
#
&
) '($'
! " $%& ' '($ ( ! # $%& ' $%& (
%
!
" ! '($'
#
! " $%& ' $#(
!
$%& ' $)#( $
&
) '($' %
!
"#;!<*13-+1=*9'!!+>!
" $ "#$!
!" ! &
! % $%& ! #$#
!
!
$%& ! #"$# '
)!
" "#$! (
?-@!8*13-+1=*9'>!
!
!
!
"#$! " #
!
!
$%& ! !"$
!
!
$%& ! !""$
" !! "#$! " #
!'
!
# ! " " !! # "#$ ! ! " " !! # $%& ! ! ! '!!!!%!!!! # ! " " !! # ! '!!!!%!!!! # ! $ !!
!
!
!
!
1(!'4)',/'8#!!A*+8!/&'!'*3'+:',/-0(>!
!"##"#$%
%
$&!%
!"#$%$&'()*+',-$
! $ "#$!
&
! % $%& ! !"#
!
!$ # '
$%& ! !""# ' $ # '
!
"
)&
)
! &% $ )(
" "#$! ( % $ (
# "#$! " $ $%& ! !""#
!
"#$!%&'()*+,)-+&%!.&%/+-+&%!0+$*/1!
' " "#$!
! #!!!!*!!!!$ ! #!"#
$%& !
!
! # " ! #$% " &
! !! %
""
$ %&' " ('
!
!
!
%&' ! "
( %&' ! "! #$% ! "!
! "
"
" #$% ! "!
! "
! ! ! #$%"
( %&' !
!
!
0+$*/+%2!
!
!
!
" !"# !$ ! ! "#" #%& !$ # !
3+4$5+1$!
! $ "#$!
&
! % $%& ! !"#
!
!$ # '
$%& ! !""# ' $ # '
!
"
)&
)
! &% $ )(
" "#$! ( % $ (
# "#$! " $ $%& ! !""#
!
"#$!%&'()*+,)-+&%!.&%/+-+&%!0+$*/1!
' " "#$!
! "#!!!!*!!!!$ ! "#!"#
$%& !
!
! " " ! #$% ! %
! !! $
""
# %&' ! '&
!
!
!
%&' ! !
( %&' ! !! #$% ! !!
! "
"
" %&' ! !!
! !
! ! ! #$%!
( #$% !
!
!
0+$*/+%2!
!
!
!
! !"# "$ " ! "## %&! "$ ! !
!
678!!"#$! ! ! !$+2$%1-)-$!+1!
!
!
!
" !"# !$ ! ! "#" #%& !$ # " !"# $' ! ! "# ( $ ) #%& $' # !
"#$!9'&:):+*+-+$1!)'$!
!"##"#$%
%
$&'%
!"#$%$&'()*+',-$
P! ! "
!!
!
!
"
"
#
"
!
! !
#
!
!
$# #$%
"
&
! ! $# ' " ( %)* "& !
$
!
!
" "! #$% "& ! #$# ' " ( %)* "& " "! #$% "& ! %)* "& %)* '(" ! # %)* "& #$% '("
!
# #$%
"
"
!
"
"
!
P! ! !
!
! "
&
! %)*
! "
&
%)*
! '"
(
! %)*
! "
&
#$%
! '"
(
! ! #$% %)* %)*
"
&
"
&
'"
(
#" ! ! #$% "& %)* "& %)* '(" $ # +,"-.
!"
!
"
!
#
"
!
" "
#
!
!
$# #$%
"
&
" " $# ' " ( %)* "& !
$
!
!
"
!
!
"
!
# #$%
! "
&
" %)*
! "
&
%)*
! '"
(
" %)*
! "
&
#$%
! '"
(
! ! #$% %)* %)*
"
&
$
!
!
! "! #$% "& " #$# ' " ( %)* "& ! "! #$% "& ! %)* "& %)* '(" " # %)* "& #$% '("
!
!
"
&
#" ! ! #$% "& %)* "& %)* '(" $ # +,&+-
'"
(
!
$
!
!
"#$!!%&'!'()'*+,+-./!0,12'!.3! !" !-4!',45!+.!6.!-/!7-8,*!/.+,+-./9!
!
!
!
" ! "" ! !
!
!
!
!" ! " !" " ! "
!
!
%&'!'()'*+,+-./!0,12'4!.3! !" !,/6! !" !,8'!',4-'8!-/!:,+8-(!/.+,+-./9!
"!
"
# !# #"
!" !
"!
"
# !# $#
!
!
! " ! $! ! $ !
! " $
!
!
"
#" ! &% ! "! !
! " &% #" " &% #
!" !
!
"
#
" " !# % " ! % !
" " %
!
! "! !
! " $
'
$
'
# " &# " & #
# # '&
"
#
!
%.!3-/6!+&'!2/*'8+,-/+-'4;!<'!/''6!+&'!'()'*+,+-./!0,12'4!.3!+&'!4=2,8'49!
!
!
!
!
!
!
!
"
!
!
!
!
!
"
!
""
""
#
#
#
#
!
"
!
! ! # " $ ! ! # " $ ! " $ ! !$
!# &
! #" " # &% ! #" " # &% #" # &% " ! %
%
! " $ ! !$!
!# & !
" # #
" # &% " ! %
"
!
! " # !# % ! " # !# % " " % " ! %
!$ '
! $# # # '& ! $# # # '& $# # '& # ! &
!
%&'!2/*'8+,-/+-'4!,8'!
!"##"#$%
!
!!
! !$
! !$
! "! " ! "
" !# & " " !# & !
" !%
" !%
!!
!
"
#
"
" " % " !%!
!$ ' !
" # $
# # '& # ! &
#
$&'%
!"#$%$&'()*+',-$
!!" !
!
!
"
" !"
!
" !#
!
" !$
!
!
!
# !& # !&
! % ( " % ( ! "!
$ !' $ !'
!
!!# !
!
!!$ !
!
!
!
#
!
!
$
# !&
# !&
! % ( "" !% (
$ !'
$ !'
!
!
# !&
# !&
! % ( "" !% (
$ !'
$ !'
!
"#$%!&'()(!(*+(,-.-/01!2.34()!.5(!(.)/(5!/1!6.-5/*!10-.-/017!
" # ! % ! " ! % !
!
! # '& " $# # '& $
!" !
!
"
"!
!#
# !" $#
!$ !
!
"
"!
!#
# !" $#
!% !
!
"
"!
!#
# !" $#
!
!
"!
" # %
! #!
!# $
# ! '&
#
" # !# % ! " ! % !
!
# # '& " $# # '& $
"!
" ! % !
!
!# $
# # '& "
" ! # % ! " ! % !
!
# !! '& " $# # '& $
"!
" ! %
! #!
!# $
# !# '&
#
!
#
&0!8/19!-'(!41,(5-./1-/():!;(!1((9!-'(!(*+(,-.-/01!2.34()!08!-'(!)<4.5()7!
!
!
!
"
"
!
!
!
!
$
"
!
!
!
%
"
!
!
!
!
!
""
""
""
!#
!#
!#
#
!
! " # " % ! " # " % " " " % " " !%
! $ '
! $# " # '& ! $# " # '& ! $# # '& ! # ! &
#
!
! " # !# % ! " # !# % " " " % " " ! %
! $ '
! $# # # '& ! $# # # '& ! $# # '& ! # ! &
#
!
! " " # % ! " " # % " " " % " " !%
! $ '
! $# # !" '& ! $# # !" '& ! $# # '& ! # ! &
"
" " % " !%!
!$ '
" !# $
# # '& # ! &
#
"
" " % " !%!
!$ '
" !# $
# # '& # ! &
"
" " % " !%!
!$ '
" !# $
# # '& # ! &
#
#
&'(!41,(5-./1-/()!.5(!
!
!!" !
!
!!# !
!!$ !
!
!"##"#$%
!"! " !"
!
" !#
!
" !$
!
!
!
!
#
!
$
# !&
# !&
! % ( "" !% (
$ !'
$ !'
!
!
# !& # !&
! % ( " % ( ! "! !
$ !' $ !'
!
# !&
# !&
! % ( "" !% (
$ !'
$ !'
%
$&'%
!"#$%$&'()*+',-$
!"#$%&#'&($)*#+),&-.#/%)0"#1&-)0.#$%&#/23"#3/#2*&(&//3"4#5*)6",#$%&#!7583/#5$#5#()"/$5"$#
5"4-&# /6(%# $%&# !7()+2)"&"$# )9# $%&# /23"# 3/# ()"/$5"$# 5",# "7# 5",# #7()+2)"&"$/# )/(3--5$&#
51)6$#:&*);#
a)
b)
z
√3!
2
-
√3!
2
y
!
2
!
2
!
2
- !
2
y
S
S
x
#
#
#
<;==#>%&#()++6$5$)*/#3"#+5$*38#")$5$3)"#5*&#
!! " # !" $ !
" ! ( ' $ %" " ! ' ( $
%" " ! ' ( $ " ! ( ' $
!!'!!
& #" ( ' &% " #" ' ( &%
" #" ' ( &% & #" ( ' &%
! ( ' $+
%" % (! ( ' $
!
'
*#
#" ' ( &% ) *)" ' ( &%
-,
!(
!! " # !# $ !
%" " ! ' ( $ " ! ( '$ $
" ! ( '$ $ %" " ! ' ( $
!!'!!
& #" ( ' &% " #" $ ( &%
" #" $ ( &% & #" ( ' &%
! ( '$ $ +
%" % (! ( '$ $
' #
*#
&
) *)" $ ( %
" $ ( &% -,
!(
!
#
!! " # !% $ !
#
%" " ! ' ( $ " ! ' ( $
" ! ' ( $ %" " ! ' ( $
!!'!!
& #" ( ' &% " #" ( '' &%
" #" ( '' &% & #" ( ' &%
! ' ( $+
%" % (! ' ( $
' #
*#
&
) *)" ( '' %
" ( '' &% -,
!(
!
!
#
#
!"##"#$%
%
$&#'%
!"#$%$&'()*+',-$
!"#$%&'($)'#"*'$'+*",#'-.#)*//0'$'*(&#$(.#
!! " # !" $ ! !" !"" " !#" " !$" # !" #$ ! !" !"" # !" #$ " !" !#" # !" #$ " !" !$" # !" #$
! !"" !" % !" !"" " !#" !" % !" !#" " !$" !" % !" !$"
! !"% % !"% " !# !# !" % !" !# !# " !$ !$ !" % !" !$ !$
#
$ #
$
#
$ #
$
! & " !# !" !# % %!!$ % !# !" " %!!$ !# " !$ !" !$ " %!!# % !$ !" % %!!# !$
! !# !" !# % %!!# !$ % !# !" !# % %!!$ !# " !$ !" !$ " %!!$ !# % !$ !" !$ " %!!# !$
!&
!! # !# $ ! !" !"" " !#" " !$" # !# #$ ! !" !"" # !# #$ " !" !#" # !# #$ " !" !$" # !# #$
"
! !"" !# % !# !"" " !#" !# % !# !#" " !$" !# % !# !$"
! !" !" !# % !# !" !" " !#% % !#% " !$ !$ !# % !# !$ !$
#
#
$ #
$
#
$ #
$
#
! !" !# !" " %!!$ % !" !# % %!!$ !" " & " !$ !# !$ % %!!" % !$ !# " %!!" !$
! !" !# !" " %!!" !$ % !" !# !" " %!!$ !" " !$ !# !$ % %!!$ !" % !$ !# !$ % %!!" !$
!&
!! " # !$ $ ! !" !"" " !#" " !$" # !$ #$ ! !" !"" # !$ #$ " !" !#" # !$ #$ " !" !$" # !$ #$
! !"" !$ % !$ !"" " !#" !$ % !$ !#" " !$" !$ % !$ !$"
! !" !" !$ % !$ !" !" " !# !# !$ % !$ !# !# " !$% % !$%
#
$ #
$
#
$ #
$
! !" !$ !" % %!!# % !" !$ " %!!# !" " !# !$ !# " %!!" % !# !$ % %!!" !# " &
! !" !$ !" % %!!" !# % !" !$ !" % %!!# !" " !# !$ !# " %!!# !" % !# !$ !# " %!!" !#
!
!&
#
1231##4*(# !" #'-.#5+$6*"$7+8$'+*"#9+.75&#'-.#.+6.":$70.&#
! " # "
" #
!" !
# " #
!#
" " # "
#
! '( "
"
!
#
# "! ' ( "!
#
"
'(
#" "
!
"
#
$
&
&
%
$
&
!
& ! "!!!)!!' ( ( ! ' "! '
&
&%
"
#
"
!
" '( # ! "! #
"
!
( ( ! ' " ! ! "!!!)!! ( ! #"$ "$ '#"
!
$"5#'-.#.+6.":.)'*(&#
!"##"#$%
%
$&##%
!"#$%$&'()*+',-$
"!! !
! ! $
$! ! $
& # " & ! #! # " & !!!'!!! ! " # ! " !
#
&
&#
&
" # %
%" # %
"!# !
! " # "
! #
# " #
!#
" " # "
!
! " " " # ! #!!!'!!! "
!
!
!
# $ ! #! # "
!
# #! " # " #! $ ! #!!!'!!!" !
!
!
" $!
#
!
$ ! ! #! $ # ! #! !
! ! $
$! ! $
"!"
& # " & ! "! # " & !!!'!!! ! " # ! "
#
&
&
&#
"!"
" # %
%" # %
! " " " # ! #!!!'!!! ! ## " #$ ! #!!!'!!!! !
!
#
!
" " #! (#
#
!
! " # "
! #
# " #
!#
" " # "
!
!
!
# (
!
#
!
#
!
$" ! "$ # ! (
#
!
!
(#
" ! '! !
! ! $
! " # " $! ! $
! #
#
&
#
&
&
# " #
" ! '#! " !!!(!!! ! " # ! '" !
&
#
&
&#
!#
" # %
" " # " %" # %
" ! '# !
!
! " " " # ! #!!!(!!! "
!
!
!
!
# #! " # " #! $ ! #!!!(!!!" ! '
#
!
$ ! ! #! $ # ! #! !
'# ! # # ' #! " " #! '#
! $ !
"#$! !" !%&'!()*+#,*-).*%)#,!/)'-(0!
" " !# " %
" $
!" !
# " !# '
'
!$
# " # " &
" ! ( !#" "
!
$
#"
$ ! ! ( !#"!
$
#"
!(
$# "
!
!
"
#
%
'
!
' ! "!!!)!!! ( ( ! ! "! ! !#"! ! (
'
'&
"
#
"
#"
!
# ! "! !
( ( ! ! " ! ! "!!!)!! ( ! "# "# !"
!
*,(!%&'!')+',1'2%#$0!
!!# ! " !
" " !! " % " " %
" " %
! $
'
$
'
$
'
! " !!
# ! #! # !!!(!!! !" ! !$ ! # !
'$
'
$
'
!$
# " ! " &# $ &
# $ &
!# ! $ !
!
" " # " $ ! #!!!(!!! #
!
!
# !## "
! % !
!"##"#$%
!
!
!
!
# #! " # " #! $ ! #!!!(!!!# !
!
!
$ " ! #! $ $ ! ! #! !
" ! #! !#
%
$&#$%
!"#$%$&'()*+',-$
" " %
" " !! " % " " %
!!# ! "
! $
$
'
'
# ! "! $ # ' !!!(!!! !" ! !$ ! "
! " !!
$
'
'
'$
!$
!# ! "
# $ &
# " ! " &# $ &
" " # " $ ! #!!!(!!! " ## " #$ ! #!!!(!!!" !
!
!
!
!
" %!
#
!
!
# "
!
#
!
#
!
$# ! "$ $ !
#
!
!
!#
!!# ! !" !
" " %
" " !! " % " " %
! $
! " !! ' $ # ' ! !#! $ # ' !!!(!!! !" ! !$ ! !# !
$
'
'$
'
!$
# $ &
# " ! " &# $ &
!# ! !$ !
" " # " $ ! #!!!(!!! #
!
!
!
!
!
!# % ! #! # !
!
!
!
# #! " # " #! $ ! #!!!(!!!# ! !
!
!
$ " ! #! $ $ ! ! #! !
" ! #! !#
!
"#$%!&'(!)*++,-.-*/0!./(!
! % & % $
! % '$ % $
! % '$ % $
! % & % $
" #
" #
" #
" #
&
&
&
!!" " !# # !
& % &
$ % '$ !!'!!
$ % '$
& % & &
#
&
#
&
#
&
#
&
$
$
$
$
" % & % %
" % $ % %
" % $ % %
" % & % %
!
(! $ % '$
" $ *#
! * % % %
$ #
*" $ % '$
)
$
! '$ % '$ $ +
& ' # % % % &&
#
&%
" $ % $ % -,
! $$ % %
"$ #
!
% % %
$#
" % % '$$
! & % %
$
& ! $"" # % % %
#
&
" % % '&
%
!
$
&
&
%
! '$"!%
!
" % !$ % % " & % %
" $
!!" " !# # !
$ % !$ ' " $ % % %
' $
$$
# % $ % & # % % !&
(" %
*$
*$ $
*)# %
" %
"$ $
!
$
$$
# %
"$
!
$
!
!
!"##"#$%
%
" & % %
' !!!!!" $ % % %
'
$
&
# % % !&
" % !$ % % +
% % %
'
! $ % % % '% $
'
$
'
% % &
# % !$ % & -,
" % & % %
$ % %
" $
'
% $ ! $"
& % & '
'
'
$$
$ % &
# % & % &
" % !$ % %
%
' " $ $ % !$ '
'
' $$
# % $ % &
&
!
! '$"!%
%
$&#'%
!"#$%$&'()*+',-$
" $ % %
!!" " !# # ! " $ % % %
$
# % % !$
" % $ % %
" % $ %
%
' " $ $ % $ ' !!!!! " $ $ % $
'
' &$
&$
# % $ % &
# % $ %
&
(" % $ % %
" % % % %+
" & *$
'
!
% % % ! $ $ % !$ ' *
$
'
$
'
&
*)# % !$ % &
# % % % & -,
" % $ % %
" % !$ %
"& $
" $
'
!
!$ % $ ! $"
$ % !$
'
&$
&$
# % !$ % &
# % $ %
!
% " $ % %
' "$ % % %
' $
& # % % !$
%
'
'
&
!
%
'
'
&
! '$"!%
!
!
"#$%!!&'()*!+,-!./01/)-)+!02+3(.-'!4-!5()6!
! ! ! !"! " !#! " !$!
! " # "
" #
!
# " #
!#
" " # "
!
$
! " # " $
! " '% " $
! " '% " $
& " # # " # & " " # % " '% & " # % " '% &
& !#
&
& !#
&
!#
%
" " # " %
" " % " %
" " % " %
! # " "
"" # " " "
#
" " " '#
$ ! # " "
& "# " " "
& #
% " " " '#
$
&
&
%
! # " "
"! #
!
" ! "
!#
" " " #
$
! # " "
!
"
&" # " ! "
& !#
%
" " " #
!
! # " "
$
& " "# " " "
#
&
" " " #
%
$
&
&
%
! # " " $
! !" # " # " &
#
&
" " " # %
!
!
7,-!-(*-)829:-!-;:2+(/)!('!
!
!
!
!! !" ! " # ! " #$ ! !" !
</3!'1()=$!+,('!('!
!
!
!! "! ! !! "! !
>-).-!+,-! !! !/1-32+/3!0:'+!?-!!!! ! !+(0-'!+,-!(6-)+(+@!02+3(AB!
!
!
!"##"#$%
! " # #
! ! !" # # " #
#
" # # "
!
!
!
%
$
&!
&
%
$&#'%
!"#$%$&'()*+',-$
!"#$% &'% ()*% +,--./0*% 1*-203-% ,4% &% 5*&-21*5*63% ,4% 3)*% -+.6% 7,5+,6*63% !" % &1*% &08&9-%
!!!!"!#!"!!!! %4,1%&%-+.6:#%+&13.70*"%%()*%+1,/&/.0.3.*-%&1*%
"
P! ! ! ! !"
%
!
!! "
"
"#
"
P! ! ! ! !"
%
!
"
!
! ! #$
! "
"
"#
"
"#
! "!
$ "
%!
"#
$!
"#
&
"#
"
!
! "
"
! "$
&
"#
! "
!! % !
$!
"#
% "
$!
"#
&
"#
!! "
%!
"#
! !! #$
!! ! "
"
"#
"
"#
!% "
$!
"#
!$ "
"
"#
P!! ! !! " !"
%
! ! #$
"
"#
"
%
!
&
"#
"$ %&
!
%!
"#
&
"#
!! %&
% !
"
!! !!
&
"#
"
"! %&
"
! !
&
"#
"
%
!
&
"#
#
"#
"
"
%
!
!'
"#
()*%3)1**%+1,/&/.0.3.*-%&;;%3,%26.39<%&-%3)*9%52-3"%%
/'% ()*% +,--./0*% 1*-203-% ,4% &% 5*&-21*5*63% ,4% 3)*% -+.6% 7,5+,6*63% !" % &1*% &08&9-%
!!!!"!#!"!!!! %4,1%&%-+.6:#%+&13.70*"%%()*%+1,/&/.0.3.*-%&1*%
%
P!! !
!
%
!
"$
P! ! !
%
!
!
"
!
!
P!!! !
"
! ! "#
!
%"
" "$
"
! ! "#
"
"
" "$
$
!! " "#
!
"$
#
!
!
%"
" "$
!"
!
"
"
"
"$
"
!
"
&
" "$
"
!
!
#
!
'(
"
!
%'
()
!
"
"$
" " " %" !
#"
!
'(
$#
"
#
"
!!
!
"
"
"$
!
# " !" "!
!
"
!
"
#
"
"#
#"
"
# $
$#
! " ! %" !
%"
"$
# "
&
"$
"!
$
"
%
!!
'(
"
"$
# " !" !!
! "
"
"$
%"
"$
! "
! "
%"
"$
&
"$
"#
# !
&
"$
#
"
%
!!
$
"
%
!!
'(
()*%3)1**%+1,/&/.0.3.*-%&;;%3,%26.39<%&-%3)*9%52-3"%%
7'%%=,1%3)*%4.1-3%5*&-21*5*63<%3)*%*>+*73&3.,6%?&02*%.-%
%
!
!#
!" ! ! #!P# ! !! #$" " %! #$$ " # "!$ ! !&
#$ ! "! #$ %
#
=,1%3)*%-*7,6;%5*&-21*5*63<%3)*%*>+*73&3.,6%?&02*%.-%
%
!
%&
!!
!" ! ! #!P#" ! !! !!
"# " $! "# " # "!$ ! "# ! $! %
#
()*%).-3,@1&5-%&1*%-),86%/*0,8"%
!"##"#$%
%
$&#'%
!"#$%$&'()*+',-$
P
P
1
1
P0 x
P-1
P0
0
-—
P-1 x
P1
Sz
—
P1 x
0
-—
—
Sx
!
!
"#$%! &'! ()*! +,--./0*! 1*-203-! ,4! &! 5*&-21*5*63! ,4! 3)*! -+.6! 7,5+,6*63! !" ! &1*! &08&9-!
!!!!"!#!"!!!! !4,1!&!-+.6:$!+&13.70*#!!()*!+1,/&/.0.3.*-!&1*!
"
P! ! ! ! !"
!
!
"
"#
!
" !
"# "
!! # "
"
"
"#
!$#"
!
"
"#
!
"
"
!
!
"
"#
!
" !!
"# "
%!
"#
"
"
!% #"
"
"
"#
!
"
! !! #$
!
'(
" " " $! !
!
$!
"#
!! % # !
!
& !!
"# "
"
!
!
#
"
! #"
%!
"#
$
'(
! #" " & $ !
!
#
"
% #!
&
"#
%)
'(
!! # %&
"
!! !!
"
"
!
#
" " $! !
!
'(
"
"
! "$
&
"#
!!
'(
"$ # %&
&
"#
&
"#
$!
"#
"
"
! "!
!#"
"
"#
"! # %&
&
"#
&
"#
$#"
& "!
"# "
% #"
$!
"#
!! #"
!"
$! !
"# "
"
& !
"# "
%!
"#
!! ! # "
!#"
"
"#
! ! #$
!
P!! ! !! " !"
$!
"#
$! !
"# "
"
P! ! ! ! !"
!
! ! #$
!!
'(
()*!3)1**!+1,/&/.0.3.*-!&;;!3,!26.39<!&-!3)*9!52-3#!!
/'! ()*! +,--./0*! 1*-203-! ,4! &! 5*&-21*5*63! ,4! 3)*! -+.6! 7,5+,6*63! !" ! &1*! &08&9-!
!!!!"!#!"!!!! !4,1!&!-+.6:$!+&13.70*#!!()*!+1,/&/.0.3.*-!&1*!
P!! !
!
! ! "#
"
!
!
!
!
P! ! !
"
"# !
!
!! ! "
! ! "#
"
!
!
!
!"##"#$%
"
"# !
!$!"
! #$
$"
"# !
!
!!"
!% !"
! #$
%"
"# !
"
"#
"
"#
$"
"#
&
"# !
$!"
!! !"
%
%"
"#
&
"# !
% !"
! "!
"
!
!
! !"
&
"#
! "$
"
!
"
"! ! %&
&
"#
!
"
"#
"
!
!
"$ ! %&
%"
"#
"
&
"#
"
!
!
#
"#
$&#!%
!"#$%$&'()*+',-$
P!!! !
!
"
!! " "#
!
!
!
!
"
"# !
!! ! ! "
!! #$
$"
"# !
"
"#
!!"
!! % ! !
$"
"#
&
"# !
% !!
!! !!
!! ! %&
&
"#
"
!
! !
"
"
&
"#
!
!
!'
"#
"#$!%#&$$!'&()*)+,+%+$-!*..!%(!/0+%12!*-!%#$1!3/-%4!!
56!!7(&!%#$!8+&-%!3$*-/&$3$0%2!%#$!$9'$5%*%+(0!:*,/$!+-!
!
!
%&
!!
!" ! ! #!P# ! !! !!
"# " $! "# " # "!$ ! "# ! $! !
#
7(&!%#$!-$5(0.!3$*-/&$3$0%2!%#$!$9'$5%*%+(0!:*,/$!+-!
!
!
!#
!" ! ! #!P#" ! !! #$" " %! #$$ " # "!$ ! !&
#$ ! "! #$ !
#
"#$!#+-%(;&*3-!*&$!-#(<0!)$,(<4!
P
1
P0
1
P-1 y
P-1
-—
P
P0 y
P1
0
Sz
—
P1 y
0
-—
—
Sy
!
!
=4>?! *6! "#$! '(--+),$! &$-/,%-! (8! *! 3$*-/&$3$0%! (8! %#$! -'+0! 5(3'(0$0%! !" ! *&$! *,<*1-!
!!!!"!#!"!!!! !8(&!*!-'+0@>!'*&%+5,$4!!"#$!'&()*)+,+%+$-!*&$!
"
!
P! ! ! !
"
!
"!
# #
#
" ! %
! $
" ' !
$#
$
'
# %! &
#
" # %
# $
" ' !
$!
$
'
# %! &
#
" " %
" $
# ' !
%$
$
'
# &! &
!
"
!
!
$#
"
&
!
$!
!
$#
! !
#
$!
" !
"
%$
&! !
"
!
P! ! ! !
"
!
"
! # !
#
!
P! ! !" !
#
!
"
$ $ "
!
"#$!$9'$5%*%+(0!:*,/$!(8! !" !+-!
!
!" ! P! ! " P! ! " P! ! # !! $ !
!
)6!!"#$!$9'$5%*%+(0!:*,/$!(8! !" !+-!
!"##"#$%
#
#&
!
%$
"
$
%&
%$
$
!"
! " # !! $ ! ! ! ! ! ! !
#!
#!
#!
#!
&
%
$&#'%
!"#$%$&'()*+',-$
"!
!
!" ! ! !" ! !
"#
!
!
!
! !
"# $
"
# # ! # &
# ! &
! %
! %
(
! # !
$ (
%
(
%
(
$
"#
$ # ! # '
$ %# '
#
$ "%#
# $
! $ "%# % ! $ %#
%
$ $
&
( ! ! ! " $ $ $ "! $ %# # " %# ) $ # ! $ !
( "# $
!%
'
#
!
!
!
"#$%! ! &'! ()*! +,--./0*! 1*-203-! ,4! &! 5*&-21*5*63! ,4! 3)*! -+.6! 7,5+,6*63! !" ! &1*! &08&9-!
!!!!"!#!"!!!! !4,1!&!-+.6:$!+&13.70*#!!()*!+1,/&/.0.3.*-!&1*!
!
!
!
#
#$
"
!
!#
! ! #$
"
!
!#
#
#$
# "
! !! #$
"!
!#
"
! "#
!
$
!#
!
!#
!"
% "
!
! !#!
"
!
! #$&
% "
#$
"
!! %&
"!
!#
"
!! !!
"
"# %&
"!
#$
"
"
"! %&
"!
!#
! "
%
#$
"!
#$
!! % "
$
!#
! "!
! !
!
!#
% "
$
!#
"!
!#
!! "
%
#$
!! ! !
! "
!% "
$
!#
!# "
P!! ! !! " !"
!
! ! #$
!! "
!
!#
P! ! ! ! !"
!
!
"
P! ! ! ! !"
!
!
"
"!
!#
! !##
/'! ;43*1! 3)*! !" !5*&-21*5*63<! 3)*! -9-3*5!.-!.6!3)*! -3&3*! !! #!!()*!+,--./0*!1*-203-!,4!&!
5*&-21*5*63! ,4! 3)*! -+.6! 7,5+,6*63! !" ! &1*! &08&9-! !!!!"!#!"!!!! ! 4,1! &! -+.6:$! +&13.70*#!!
()*!+1,/&/.0.3.*-!&1*!
!
!
!
P!! !
!
P! ! !
P!!! !
!
!
#
"
!
! ! "#
"
! ! "#
!! " "#
"
!
"
!
!
#
!"
$
# " !" "! "!
!
"
"
#
"
!
"
!!
#"
!
"
#
"
#
"
"# "#
"
!
$
# " !" !! !!
!
! "
"
"#
"
"
"
!
! !$ !
! #" !
! "
"
! !$ !
7'!!=7)*5&3.7!,4!*>+*1.5*63#!
|1〉x
Z
0
|−1〉
X
0
25
|0〉x 50
|−1〉x
25
!
!
!"##"#$%
%
$&#'%
!"#$%$&'()*+',-$
!"#$%%&'(%)*+,-,./.01%.2%
%
P! ! ! ! ! ! "
!
!
#
""
"""
##
$ "
&
%
"
! "%'
" " " " ! " !" " & " " & " ! ! " $ " "! % " " " ! " &
!
!
"
" """#
" " "
# % !
"
!
%
"
#
"
!
!
%
!
%#
$ ""
!
""" " "
# % !
"" " "
"
#
!
%
"
" "
# %#
" """# "
"
!
"
&
% #
"" $ "
& "
% !
"
" "" "
" "
! " & "
# % !
"
" $ " """# "
$#
"
%
!
#
!
!
%#
""
"
##
$" "
""" "
# %#
" " " """#
!
##
" " &
# % #
"
! " "
# % !
! "
# %#
""
!
%#
$
!
$$ "
! " &
# % #
$ "" "
!
"" ""
!
%
!
#
$"
" " & "
# % !
%#
!
"
"
! "%'
( " ! ! " !" " " & " "! % ! "%'
("! !
#
$
$ " #! "
!
&"! %
$&
!
"
! "%'
%) " ' ! " ) & " ' % # $*(!)
%
+*%.3%4-0*.5%3+0-0.+3%
%
P! ! ! ! ! ! "
"
! "%'
!
" "$ !
!
!
% "
"""
#
"
!
""
!
#$ "
""
!
"! ! " " !
"
!
!
#
#
"" $ ! !
!
$
"
!
# "
%
% " !
%$ " &
#$ "
"
##
&
(
(
('
"
!
"
!
""
!
#&
# "
" %
" !
% %
%$ " &
&
(
(
('
!
"
#
"
"
! "%'
" $ ! ! $ ( $ !" " " & $ "! % ! "%'
%( $ ' ! " ( & $ ' % ) $)*!(
%
%
!"!6% % 7).3%#%8393+:32"% % ;+//+:% 0'(%2+/80.+3%4(0'+<% =.>(3%.3%0'(%/-,% '-3<+80"% %?.@%;+*%
8393+:3%384,(*%#A%0'(%4(-28*(<%)*+,-,./.0.(2%-*(%
%
P! !
!
"
P!! !
!
"
P!" ! !
P# !
!
$
P# ! !
!
$
P# " ! # %
P!! !
!
"
P!!! !
!
"
P!!" ! #
B*.0(%0'(%8393+:3%20-0(%-2%
!"##"#$%
%
$&#'%
!
!"#$%$&'()*+',-$
! ! ! ! ! " " " " # "! !
!
"#$%&'()!&*+!,-+.'/&+.! !" !,-01%1'2'&'+3!%(.!&*+!+4,+-'5+(&%2!-+3$2&3!)'6+3!
"
P! ! ! ! !
!
P# ! # ! !
! ! #! ! " " # " # "! $ ! ! ! !$ !!!#!!!! !
"
P"! ! "! ! !
"
"
!
"
! # #! ! " " # " # "! $ ! " ! !" !!!#!!!" !
"
"
!
"
$%$
!
! "! #! ! " " # " # "! $ ! # ! !$ !!!#!!!# ! !$ $%%
"
"
"
%2207'()!80-!,033'12+!-+2%&'6+!,*%3+39!!:0!(07!&*+!$(;(07(!3&%&+!'3!
! ! ! !" ! "
!
!
"
!"" # " !" !"# $! !
"#$%&'()!&*+!,-+.'/&+.! !" !,-01%1'2'&'+3!%(.!&*+!+4,+-'5+(&%2!-+3$2&3!)'6+3!
P! ! !
!
!
"
$
#
! !"
!
!
"
#
"""
"" #
"
" $
"
#
"" " " #"" " " # ! "" $ " " "
#$
"#$
"
$
"
#
#$
"## ! $ "# "#$ ""
""
"#$
#
#
!
# ! "" " &'( $ # !
"
%
# #
"
#
"" " " #
#$
"
#
% &'( $ ! "" % $ ! &
!
<'6'()!&*+!3&%&+!
! ! ! !" ! "
!
!"" # # !" #! !
!
"
"#$%&'()!&*+!,-+.'/&+.! !" !,-01%1'2'&'+3!%(.!&*+!+4,+-'5+(&%2!-+3$2&3!)'6+3!
P!! !
!
!
!
$
!
! !!
"
!
"
!
"
!"
"
"
# " !" "!
#"
"! " "# #"! $ "# # ! "! $ ! " "#
"#
""#
!
$
!
"
"#
! $
$ "#
!
"
""#
#"# # " !" "!
#
"
!
!
$
" "" #"# $ !$
"
# ! "! $ %&' # # ! ! $ %&' # ! ! $ # !
!
"
%
"
!
=+(/+!&*+!$(;(07(!3&%&+!'3!
!
! ! ! !" ! "
!
"
""
! " # # !" #! ! !" ! "
"
"
# # !" #! ! ! # !
>''?!@0-!$(;(07(!($51+-!AB!&*+!5+%3$-+.!,-01%1'2'&'+3!%-+!
!
P! !
!
"
P!! ! !$#
P!" ! %&'(%
P% !
!
)
P% ! !
P% " ! %&!)+ !
P!! !
!
"
*
'
P!!! ! !$!
P!!" ! %&%%+
C-'&+!&*+!$(;(07(!3&%&+!%3!
!
! ! ! ! " " " # " # "" !
"#$%&'()!&*+!,-+.'/&+.! !" !,-01%1'2'&'+3!%(.!&*+!+4,+-'5+(&%2!-+3$2&3!)'6+3!
!"##"#$%
%
$&$'%
!"#$%$&'()*+',-$
!
! ! #! ! " " # " # "! $ ! ! ! !$ !!!#!!!! !
"
"
P! ! ! ! "
"
P# ! # ! "
!
"
! # #! ! " " # " # "! $ ! " ! !" !!!#!!!" !
"
"
P"! ! "! ! "
"
"
!
"
$%$
!
! "! #! ! " " # " # "! $ ! # ! !$ !!!#!!!# ! !" $%%
"
"
"##$%&'(!)$*!+$,,&-#.!*.#"/&0.!+1",.,2!!3$!'$%!/1.!4'5'$%'!,/"/.!&,!
! ! ! "! " "
!
"
!
!"" # " "! !"# $" !
674"/&'(!/1.!+*.8&9/.8! !" !+*$-"-&#&/&.,!"'8!/1.!.:+.*&;.'/"#!*.,4#/,!(&0.,!
P! ! !
!
!
#
$
!
! !"
"
!
#
"
"#"
"# #
"#$
#
$
!
!
#
"
# $
"# " " #"# " " # ! "# $ # " "
#$
% &'( $ ! " #" % $ !
P!! !
"
!!"
"
!
#
#
!
"
! !%! ! " ""## " "#$
!"
!
"
"&
)
"##
"## ! $ #" "#$ "#
#
"
!
# "# " &'( $ # !
" ""#$ !
#
%
#
" "
"# " " #
#$
)
$
"
!
* %)&
# " !" "!
$#! " ""
#$
#
"
$#
!
"
! "
$
!
"
"## # " !" "#$ "!
$
"
!
!
$
" !" "## " !$ "#$
"
" ""#$ ! !%! #% " $ &'( # " " &'( $ " $ &'( %# " $ &$
!
#% " $ &'( # " " &'( $ " $ &'( # &'( $ " $ ()* # ()* $ $
! !%! #+ " " &'( # " $ ()* # ()* $ $ ! !%,
!
!
!%
%1&91!<&.#8,!
!"# ! ! $ #%& ! #%& " " $
$ #%& ! #%& " " $ # !"# !
' #%& $ ! #%& $ " " ' # ' !"# ! ! !"# $ !
#
' ( # !"# $ !
!
$
)
'
" ' # ' !"# ! ! !"# $ ! !
' !"# $ ! # ' !"# ! ! ( " *
$ !"# ! # ( " *
!"# ! "
(
$
$ ! " %) + ,%)
674"/&'(!/1.!+*.8&9/.8! !" !+*$-"-&#&/&.,!"'8!/1.!.:+.*&;.'/"#!*.,4#/,!(&0.,!
P!! !
!
!
!!"
"
"
!
"
!
"
!"
! !%! ! " ""#"# " #"$
!
!
!%
!
!
!%
"
"
# " !" "!
#"! $ ""#
""#
#"
!
"
! $
#
!
"
#"# # $ !" #"$ "!
#
"
!
!
$
" "" #"# " !$ #"$
" #""$ ! !%! "% $ $ &'( # " " )*& $ " $ &'( %# " $ &#
"% $ $ &'( # " " )*& $ " $ &'( # )*& $ $ $ )*& # &'( $ #
"+ $ % &'( # $ $ )*& # &'( $ # ! #,-+
"
!
%1&91!(&0.,!
!"##"#$%
%
$&$#%
!"#$%$&'()*+',-$
!"#$ ! ! % &'" ! "#$ " " !()* # % !
% &'" ! "#$ " " % ! $ !"#$ !
) &'" % ! "#$ % " " +% $ +% ! "#$ ! ! , "#$ % !
#
) + $ "#$ % !
!
$
!
)
" +% $ +% ! "#$ ! ! , "#$ % !
!
"#$ % ! $ ! "#$ ! ! )! " "#$ ! $
!
%
"-
"#$ ! "
% ! " &! . %&! % ! "
!
%
&
!
% ""
%&
!
"#$%#!&'#!($)$*+$!,&-&#!.,!
! ! ! "! " "
!
"
!
""
! # $ " "! !
" !#"
#" ! " ##$ ! " % % ! " $ !
!
#
/...0!1*2!($)$*+$!$(34#2!56!&'#!3#-,(2#7!82*4-4.9.&.#,!-2#!
!
P! !
!
"
P!! !
!
#
P!" ! $%$&'#
P$ !
!
"
P$ ! !
&
"
P$ " ! $
P!! !
!
"
P!!! !
!
#
P!!" ! $%()!*
!
:2.&#!&'#!($)$*+$!,&-&#!-,!
! ! ! ! " " " # " # "" !
!
;<(-&.$=!&'#!82#7.%&#7! !" !82*4-4.9.&.#,!-$7!&'#!#>8#2.3#$&-9!2#,(9&,!=.?#,!
#
P! ! ! ! "
!
P$ ! $ ! "
#
P"! ! "! ! "
! ! #! ! " " $ " # "! $ ! ! ! !" !!!#!!!! !
#
#
!
"
! $ #! ! " " $ " # "! $ ! " ! !" !!!#!!!" !
#
#
!
"
$%$
! "! #! ! " " $ " # "! $ ! # ! !" !!!#!!!# !
!
"
#
#
#
!
$% %
-99*+.$=!@*2!8*,,.49#!2#9-&.?#!8'-,#,A!!B*!$*+!&'#!($)$*+$!,&-&#!.,!
!! !
!
"
!
" "
"
!
!"" # "
"
!
!"# $" !
;<(-&.$=!&'#!82#7.%&#7! !" !82*4-4.9.&.#,!-$7!&'#!#>8#2.3#$&-9!2#,(9&,!=.?#,!
!
P! ! !
!
!
$
%
! !"
#
!
$
#
"$"
"$ #
"#$
$
%
$
"
"$ $"
"$ " " #"$ " " # ! "$ $ $ " "
#$
#$
##
! $ "#$ "$
#
#
!
$
%
# "$ " &'( $ # !
" ""#$ !
$
"
"$ " " #
#$
#
"
#
!
% &'( $ ! "$ % $ ! &
;<(-&.$=!&'#!82#7.%&#7! !" !82*4-4.9.&.#,!-$7!&'#!#>8#2.3#$&-9!2#,(9&,!=.?#,!
!"##"#$%
%
$&$$%
!"#$%$&'()*+',-$
!
P!! !
!
!
!
"
#
!!"
"! "
"
#
" ! " $ " "! # " ! $ # $ " "! #
#"! $ # # ! " $ # %&' # # ! $($#)*
!
#"#
!
#
"
#
$ %&' # ! "! $ # !
"
#
!
#
""#
!
"
"#
!
"
#
!
!
"
%
!
#
"
"
#
#"# $ !#
"
#
&
#
!
"%
#
"#$%#!&'#!($)$*+$!,&-&#!.,!
!! !
!
"
!
" "
# "
!
!
"
!
"#
""
"
#
#!
/.01!2*3!($)$*+$!$(45#3!67!&'#!4#-,(3#8!93*5-5.:.&.#,!-3#!
P! !
!
!
"
P!! !
!
#
P!" !
!
#
P$ ! $
P$ ! !
!
"
P$ " !
!
"
P!! !
P!!! !
!
#
P!!" !
!
#
!
"
!
;3.&#!&'#!($)$*+$!,&-&#!-,!
! ! ! ! " " " # " # "" !
!
<=(-&.$>!&'#!93#8.%&#8! !" !93*5-5.:.&.#,!-$8!&'#!#?9#3.4#$&-:!3#,(:&,!>.0#,!
#
P! ! ! ! "
!
P$ ! $ ! "
#
P"! ! "! ! "
! ! #! ! " " $ " # "! $ ! ! ! !# !!!#!!!! !
#
#
!
#
!
! $ #! ! " " $ " # "! $ ! " ! $!!!#!!!" ! $
#
#
#
! "! #! ! " " $ " # "! $ ! # ! !# !!!#!!!# !
#
#
$% $
!
#
-::*+.$>!@*3!9*,,.5:#!3#:-&.0#!9'-,#,A!!B*!$*+!&'#!($)$*+$!,&-&#!.,!
!! !
!
"
#
" "
"
#
!"" #" !
<=(-&.$>!&'#!93#8.%&#8! !" !93*5-5.:.&.#,!-$8!&'#!#?9#3.4#$&-:!3#,(:&,!>.0#,!
!
P! ! !
!
!
$
"
! !"
#
!
$
#
"$"
"$ #
"##
$
"
$
#
"$ $"
"$ " " #"$ " " # ! "$ $ $ " "
##
##
##
"$
#
#
!
$
#
"$ " " #
##
# "$ " %&' # # !
" ""## !
$
#
#
$
#
!
$ %&' # ! ! $ # ! %# ( )%#
C.0.$>!
!! !
!
"
#
#"
" ! "" $ !
+.&'! $*! 4*3#! .$@*! @3*4! B?7! BD7! BE! 4#-,(3#4#$&,A! ! F$! &'#! BGFHB! 93*>3-4! %'**,#! !! -&!
-$>:#,!!!I!JK!7!"!I!6L!7!MML!!&*!,##!&'-&!&'#!($)$*+$!,&-&#!.,!
!
!! !
"
#
" " " ! "" # !
$ "$# ! $ % % ! $ % ! $ "$# ! $ % % ! & $ % !
#
!
#
!
!
!"##"#$%
%
$&$'%
!"#$%$&'()*+',-$
!"!#"$ $ %&'$ ()*+,#$ *+-'./'.01'-'.$ &23$ 2+$ !! $ 45$ 3'6*7'8$ 2+$ !! $ 3'6'*7'8$ 2+3$ 2+$ !! $ 45$
3'6*7'"$$%&'$ !! $'*9'+(-2-'($2.'$ ! " # " !! "$$%&'$ !! $'*9'+(-2-'($2.'$
!
!
!
! "
# " !!
"
"
"
!
!
# !!
! !
!!
"$
"
"
!
!
!
!! ! ! ! !
# " !!
"
"
"
!!!
$
:'-$ ! ! $ ;'$ -&'$ <=2+-=1$ (-2-'$ 2/-'.$ -&'$ !-&$ 4-'.+,5'.>27&$ 3'6*7'"$ $ %&'$ /*.(-$ 45$ 3'6*7'$
-.2+(1*-$)2.-*7>'($?*-&$!!! ! "! 8$(0$-&'$(-2-'$ ! ! $*($
! ! ! ! "$
$
%&'$ ('70+3$ 45$ 3'6*7'$ -.2+(1*-($ )2.-*7>'($ *+$ #8$ !8$ 0.$ @$ 0/$ -&'$ !! $ '*9'+(-2-'($
! ! " # ! " !! ! "$$%0$/*+3$ ! ! 8$?'$=('$-&'$).0A'7-*0+$)0(-=>2-'B$
!! !
$
!" ! "
$
! " !" ! "
?&'.'$"+$*($-&'$).0A'7-*0+$0)'.2-0.$0+-0$-&'$1'2(=.'3$(-2-'("$$C0.$'D21)>'8$*/$-&'$('70+3$
45$3'6*7'$-.2+(1*-($)2.-*7>'($?*-&$!!! ! "! 8$?'$9'-$
$
!! !
!"" ! "
! " !"" ! "
!
"
" !! "
" "
" "
" !! "
" "
! " "$
2($'D)'7-'3"$$E+$12-.*D$+0-2-*0+8$-&'$ !! $'*9'+(-2-'($2.'$
! !" $
! ! "
&
#
#
$
! ! ! # ! " & ########## $ ! ! #
$
# !" &
# '! "
"
%
"
!
2+3$-&'$).0A'7-*0+$0)'.2-0.($2.'$
!"##"#$%
%
! !"
$
#
&
& ########## '! ! ! # '! "
# !"
&
%
"
$
&
&$
&
%
$&$'%
!"#$%$&'()*+',-$
!!" ! !
!
!$ " ! $
!
#
! !#
#
"
" !! "
" !! "
!'!" ! '!
!
#
$ !#
#
"
" !! "
!
!
!
$
&
&
&
%
"
"
"
!
"
$
&
&
&
%
"
$
'!
!
#
'! ! #
#
"
"
!
"
"
!
"
"
"
'!
!
!
!
$
&
&
&
%
!
'!
"
#
"
'!
$
"
"
!
"
!
#
!#
#
"
#
"
!
"
!
!
!
#
!
" "
!
!
#
!
"
#
"
!
'!
#
$
&
&
&
%
$
&
$ &
!
&
" %
'!
"
'!
#
" "
!
" "
!
#
" "
!
" "
! !" $
!# $ $
#
#" '! " $
!
#
!#
#
"
!
" "
'!
#
!
!
'!
"
" "
#
" "
!
#
$
&
&
&
%
!
"#$! %&'()(*+*,-! '.! /$)01&*23! )! &$01+,! ).,$&! ,#$! ,#*&4! 56! 4$7*8$! *0! ! ! ! ! ! "
!
;)2,!,'!8)+81+),$!,#$!,#&$$!%&'()(*+*,*$0!
9! ! :$!
"
P! ! ! ! "
"
P# ! # ! "
!
!
!
"
P"! ! "! ! "
.'&!)++!%'00*(+$!<=>!8)0$0!'.!?!($)/@!A!($)/0@!'&!B!($)/0!.&'/!56A9!
<*>!:#$2!,#$!0$8'24!56!4$7*8$!,&)20/*,0!%)&,*8+$0!;*,#!!!! ! ""! !'2+-C!
!! !
!"" ! "
! " !"" ! "
"
$
!"" " ! $
$
#
"
"
" !"" " !
!!
"
"
#
" !"" "
"
! !
"
! !
"
!
"
#
!"" "
!
"
!
! !
"
! !
"
$
" $ $ $
$
#
"
" $
!
" # $$
#
"
#
! !
"
#
#
"
#
"
%"
% "
'$ " ' $
'$ $ ' !$
'# $ & $
#
&
#
"
! !
"
% "
' $
' !$
' $
& #
#
#
"
"
"
!
!
!
%
'
' !" #
'
&
"
"
#
! !
"
#
%
'
'
'
&
!
%
'
'
'
&
!
;#*8#!*0! ! ! !)0!$D%$8,$49!!"#$!,#&$$!%&'()(*+*,*$0!)&$!
!"##"#$%
%
$&$'%
!"#$%$&'()*+',-$
P! ! ! ! "
!
P# ! # ! "
"
!
"
P(! ! (! ! "
!
"
"
"
!
"
"
$
! # # $
$
#
!
"
#
!
"
!
"
"
$
# ! # $
$
#
#
"
"
$
# # ! $
$
#
#
%
'
!
' !
$
'
&
"
%
'
!
' !
"
'
&
!
"
!
"
!
"
!
"
!
"
!
"
!
"
%
'
!
' !
$
'
&
"##$! %&'(! )&'! *'+,(-! ./! -'0#+'! )12(*3#)*! 421)#+5'*! 6#)&! !!! ! "! 7! ! ! ! " ! ! 2(-! )&'!
)&1''!41,828#5#)#'*!21'!
"
P! ! ! ! "
"
!
"
" ! %
$ " '
!
! # # $ # ' !
"
$ ! '
# " &
"
" ! %
$ " '
# ! # $ # ' !#
$ ! '
# " &
#
"
!
P# ! # ! "
"
!
#
!
"
P(! ! (! ! "
"
!
"
" ! %
$ " '
!
# # ! $ # ' !
"
$ ! '
"
&
#
#
"###$!%&'(!)&'!*'+,(-!./!-'0#+'!)12(*3#)*!421)#+5'*!6#)&! !!! ! !"! 7! ! ! ! "" ! !2(-!)&'!
)&1''!41,828#5#)#'*!21'!
!"##"#$%
%
$&$!%
!"#$%$&'()*+',-$
P! ! ! ! "
!
P# ! # ! "
"
!
"
P"! ! "! ! "
!
"
"
"
# !
"
%
!
! # # % " "
% !
$ "
&
(
!
( !
$
(
'
"
# !
"
%
!
# ! # % " "
% !
$ "
&
(
!
( !
"
(
'
!
#
"
#
"
# !
"
%
!
# # ! % " "
% !
$ "
#
!
"
&
(
!
( !
$
(
'
"#$%! &'()! *'(! +(,-).! /0! .($#,(! *12)+3#*+! 421*#,5(+! 6#*'! !!! ! "! ! !"#! !!! ! "! ! #)! 2!
,-'(1()*!7(23!
!! !
# !"" " !# " $ ! "
! " # !"" " !# " $ ! "
!! !
!
8'(!*'1((!41-727#5#*#(+!21(!
!"##"#$%
""
!
# "$
%
# !"" " !# " $ " ! % " ! !
% "$
$
" # !"" " !# " $ " !
# !"" " !# " $ "
" # !"" " !# " $ "
&# " & # " !
%
(
# (% # ( !% #
%
(
"
(
%$ "" !
! '$ # '
# "! #
!# " " ! % # #
%
%$ "" ! #
!
!
#
& # "! & # %$
( %
( %
( "% # ( !% " ! !
( % "" ! ( % "" $
' $
' $
# %$
%
" # # % "! !
% "" $
$
# %$
" %
% "! !
%$%
$ "" $
&
(
(
('
$
& #
% !
( %
( !% " &
( %
' %$ "" ! %
%
&
(
(!
(
'
&
(
(!% $
(
'
&
(
(
(
('
$&$'%
!"#$%$&'()*+',-$
"
P! ! ! ! "
!
!
"
P# ! # ! "
P"! ! "! ! "
"
&
(
$
( !
&
(
('
"
#
$ "
%
# ! # % ! %
%
%$ "! " $
&
(
!
( !
%
(
('
!
"
"
#
$ "
%
! # # % ! %
%
%$ "! " $
#
#
"
!
#
$ "
%
# # ! % ! %
%
%$ "! " $
#
"
!
"
&
(
!
( !
!"
(
('
"#$! %&'(! )&'! *'+,(-! ./! -'#0+'! )12(*30)*! 421)0+5'*! 60)&! !!! ! "! ! !"#! !!! ! !"! ! 0(! 2!
+,&'1'()!7'23!
!! !
!"""
!
# !"" " !""" $ ! "
! " # !"" " !""" $ ! "
#
%
" !%
%
$
"
""
#
""
"
! !
"
#
! !
""
!
! !
# "#
%
# !"" " !""" $ " ! % " ! !
% "#
$
" # !"" " !""" $ " !
!!
#
"
""
#
! !
"
# !"" " !""" $ "
" # !"" " !""" $ "
!
#
&#
&
"#
& #
(% " ( %
(
( % $ ( ! % "" ! ! (
($ $ ' %
(
"#
'
$
'
& #
& # "!
"#
( %
( %
( " % "" ! ! ( ! % $
( %
( % "!
"#
' $
' $
&
(
( !
('
# "! &
(
%
" $ $ % $ ( !" !
%$ " ! ('
$
# "! & # " ! &
(
" %
( %
!
$ ( !% $ (
%
"!
%$ " ! (' % " ! (
'
$
!
8&'!)&1''!41,727050)0'*!21'!
!"##"#$%
%
$&$'%
!"#$%$&'()*+',-$
"
P! ! ! ! "
"
!
"
" ! " %
'
$
!
! # # $ # ' !
"
$ ! " '
&
#
"
" ! " %
'
$
# ! # $ # ' !#
$ ! " '
&
#
#
"
!
P# ! # ! "
"
!
#
!
"
"
P(! ! (! ! "
!
"
" ! " %
'
$
!
# # ! $ # ' !
"
$ ! " '
&
#
#
"#$%! &'()! *'(! +(,-).! /0! .(#$,(! *12)+3$*+! 421*$,5(+! 6$*'! !!! ! "! ! !"#! !!! ! !"! ! $)! 2!
,-'(1()*!7(23!
!! !
# !" " " !"#" $ ! #
! # # !" " " !"#" $ ! #
!
# !" " " !"#" $ #
# # !" " " !"#" $ #
& #
#$
%$
# #! & #
( %
( %
%
# !" " " !"#" $ # ! % " ( " % "# ! ! ( ! % "# ! !
( % "# $
%$ "# ! (' %
#$
' $
$
!
# # !" " " !"#" $ # !
!! !
#
%$
# %
% "# ! !
%$%
$ "# $
!
8'(!*'1((!41-727$5$*$(+!21(!
!"##"#$%
#
#
%$
%
# " " % "# ! !
% "# $
$
$
& #
% !
( %
( ! % "# &
( %
' %$ "# ! %
%
&
(
(!% $
(
'
&
(
(
(
'
!
&
(
(
(
('
$&$'%
!"#$%$&'()*+',-$
P! ! ! ! "
P# ! # ! "
!
"
!
"
P"! ! "! ! "
!
"
"
"
#
$ "
%
! # # % "! %
%
%$ "! " $
&
(
$
( !
&
(
('
"
#
$ "
%
# ! # % "! %
%
%$ "! " $
&
(
!
( !
%
(
('
!
#
#
"
#
$ "
%
# # ! % "! %
%
%$ "! " $
#
"
!
"
&
(
!
( !
!"
(
('
"#$$%! &'()! *'(! +(,-).! /0! .(#$,(! *12)+3$*+! 421*$,5(+! 6$*'! !!! ! "! 7! !!! ! "! 7! !"#!
!!! ! !"! !$)!2!,-'(1()*!8(239!
!! !
!"""
!
# !"" " !# " " !""" $ ! "
! " # !"" " !# " " !""" $ ! "
#
"$
%
" ! % "" ! !
%
%$
"$
"" ! !
"!
"" ! !
# "$
%
# !"" " !# " " !""" $ " ! % " ! !
% "$
$
" # !"" " !# " " !""" $ " !
!!
!
#
!
# !"" " !# " " !""" $ "
" # !"" " !# " " !""" $ "
&
&
#
"$
(# " & %
(
"" ! ! ( % # ( ! % "" ! ! (
(% # ( %
(
' $
"$
(' $
"$
'
"$
& # "! & #
& #
"$
&
( %
( % " (
%
(
( " % # ( " % "" ! ! ( ! % # ( !
( % "" ! ( %
( $ # '
"$
' $
' $
'
# " &
" # # % # ( !"
%
(
$ # '
$
# " &
!% # (
%
(
$ # '
6'$,'!$+! ! !2+!(:4(,*(.9!!;'(!*'1((!41-828$5$*$(+!21(!
!"##"#$%
%
$&'(%
!"#$%$&'()*+',-$
"
"
P! ! ! ! "
!
"
" ! %
! # # $ # ' !!
$
'
# # &
"
" # %
! # # $ ! ' !# !
$
'
# # &
!
" # %
! # # $ # ' !#
$
'
# ! &
#
"
"
P# ! # ! "
!
!
#
"
P(! ! (! ! "
"
"
#
"#$!%&'&()*$+!,$-&(*-!),$!
!!
P"
P#
P""
"
!
"
$
"
!
"
$
#
!
"
!
#
"
!
"
$
"
!
"
$
&
$
"
'
"
"!
""
!
!
"!% #
!
" ! % ""
!
"
!
#
"
!
# ! % ""
!
&
$
"
'
"
"!
"
#
#
" ! % # ! % ""
!
!
!
./..!!)0!"#$!1,23)34(4*5!26!'$)-&,478!-147!&1!)*!*#$!.7+!9*$,7:;$,()%#!)7)(5<$,!)7+!-147!
+2=7!)*!*#$!>,+!9*$,7:;$,()%#!)7)(5<$,!4-!*#$!1,2+&%*!26!*#$!47+4?4+&)(!1,23)34(4*4$-@!
P!!! !!" " " P!!! ! P! !!" " "
!
!
!!
!
"!
!
!
!
"#$! ! ! !$48$7-*)*$!4-!
!
!
!
" !"# !$ ! ! "#" #%& !$ # !
-2!*#$!1,23)34(4*5!4-!
!
#
$
P!!! !!" " " !"# #$ ! ! #"$$ #%& #$ " !
$
#
" !"# #$ ! ! #$$ #%& #$ "
$
" !"# $ #$ #%& $ #$ " '( #%& $ #
$
!
30!!"2!')A4'4<$!*#$!1,23)34(4*5!,$B&4,$-!*#)*! ! ! " ! C!)7+!*#$!1,23)34(4*5!4-!
!
P!!! !!" " " !" #$% & #& " !" !
%0!!D6!*#$!.7+!9*$,7:;$,()%#!)7)(5<$,!4-!,$'2?$+C!*#$7!*#$!1,23)34(4*5!4-!
!"##"#$%
%
$&'#%
!"#$%$&'()*+',-$
P!!" ! " " !
!
!
" "!
"#$%&'#!()#!(*+!'(%(#'!%,#!+,()+-+.%/0!
!
1012!!3%4!5)#!$+66&(%(+,!7'!
" #" #
$
! !! " " # !" ! "! ! $ # #$
$ # #
#
!
" #"$"
#
$
#
!$ #
$ # #$
% $
#
# % " $" #
'$
# '$ # #
#% '& $# # $$
% " #"$"
#
' $
#$$$ ' ! $ #
#
# '& $# # #$$$
#
" #
#
#
$
#
$$ $ #$ ! #% %
!$ #
$ # $ $# ! # %
#
$
%
$
#
# % " $" #
' $
$$ ' ! $ # #
# '& $# # $$
# % " #" #
'$
$$ ' $ # #$
# '& $# # #
%
'
#%$$ '
# '&
# %
'
# '
#% '&
#
!
%
'
' (#
'
&
!
'+!()#8!9+!.+(!$+66&(#0!
3"4!!!!7'!%/,#%98!97%-+.%/:!'+!()#!#7-#.;%/&#'!%.9!#7-#.;#$(+,'!%,#!+"(%7.#9!"8!7.'<#$(7+.0!!
5)#!#7-#.;%/&#'!%,#!
!
!! " !# " !$ !
%.9!()#!#7-#.;#$(+,'!%,#!
!
! ! $
! "
!! ! ! ! # " & #!!! !$ ! $ ! # !
#
&
#
" " %
" "
!
=+,!":!97%-+.%/7>%(7+.!87#/9'!()#!#7-#.;%/&#'!
!
# !! ! " "
"
%
"
! " !#
%
%
"
!# ! "
$
$
! "
& #!!! ! ! % ! # "
%
&
#
%
" !
$
&!
&
%
&
(
#
#
( ! "!!!)!!" !! ! " # " ! !# ! "! !
(
'
"
#
!)!! " ! !! $!# $ !!#
%.9!()#!#7-#.;#$(+,'!
!"##"#$%
%
$&'$%
!"#$%$&'()*+',-$
! !! "
#
# " "
# " !
#
"
!
" $! "
&
!# & # #
#
" &% " $
!!" ! !!"
$
! " $
& ! ! # # & !!!'!!! ! $ ! ! # !!!'!!!$ ! # ! "
#
!
!
&
#
&
$
%
"
%
!# # ! !!$
!
! ! $
" " # " $ ! !!!!'!!! " ! !!!!'!!!" ! !$ # ! "$ $ ! "!!!'!!! !! ! ! ! # " &
#
&
" %
"
!
#
! !! "
#
# " "
# " !
#
"
!
!
#
" $! "
&
!# & # #
#
" &% " $
#
!!" ! !#"
$
! " $
& ! ! # # & !!!'!!! ! $ ! ! # !!!'!!!" ! "$!!$ ! #
#
#
#
&
#
&
$
%
"
%
!# # ! !# $
! " $
# ! &
#
#
!# !# ! !!!'!!! # " $ ! !!!'!!!" ! "$ # ! !# $ $ ! !# !!'!!! !# ! !# # # " % $ ! # # &
# ! &
" # %
!
! !! "
#
# " "
# " !
#
"
!
!
#
" $! "
&
!# & # #
#
" &% " $
!
!!" ! '!#"
$
! " $
& ! '! # # & !!!(!!! ! $ ! '! # !!!(!!!" ! "$!!$ ! '#
#
#
#
&
#
&
%
" $ %
!# # ! '!# $
! "
# !
#
#
'!# '!# ! !!!(!! # " $ ! !!!(!!" ! "$ # ! !# $ $ ! ' !# !!(!! '!# ! !# # # " % $ ! # #
# ' !
#
"
"#! ! $%! !!&'! ()*'+,)-.!/0)!12''&34)! ,)'+4/'!*,)!/0)! *4425)-!)&6)78*4+)'! !! "!# " !!# 9! ! $%! /0)!
&7&/&*4!'/*/)!&'! ! ! ! ! .!/0)7!/0)!1,23*3&4&/&)'!*,)!
!
P!! ! !! ! "
"
! !"
P!" ! !" ! "
"
!
P"!" ! "!" ! "
"
"
!#
# " " $$ " !
! # " " $$ " !
"
!
"
!
"
!
"
"
!
!
"
$%!"!&'!/0)7!()*'+,)-.!/0)!12''&34)!,)'+4/'!*,)!/0)!*4425)-!)&6)78*4+)'! !! " !# " !$ 9!!$%!#:!5*'!
/0)! %&,'/! ,)'+4/.! /0)7! /0)! 7)5! '/*/)! &'! !! ! *7-! 50)7! "! &'! ()*'+,)-! /0)! '+3');+)7/!
1,23*3&4&/&)'!*,)!
!"##"#$%
%
$&''%
$
&
&
&
%
!"#$%$&'()*+',-$
!
#" " # $ !$
#" " #$ !
#" " #$ !
"
P!! ! !! ""
"
! !
P!" ! !" ""
"
! "
!
"
P!# ! !# ""
"
! #
!
"
!
"
"
!
"
"
!
!
"
"#! $!%! &'(! )*+! #,-()! -+(./)0! )*+1! )*+! 1+&! ()')+! ,(! !!! ! '12! &*+1! "! ,(! 3+'(.-+2! )*+!
(.4(+5.+1)!6-74'4,/,),+(!'-+!
!
"" ! # # !$
"" ! ## !
"" ! ## !
P!! ! !! !""
"
! !
P!" ! !" !""
"
! "
!
"
P!# ! !# !""
"
! #
!
"
!
"
"
"
"
!
"
!
!
"
28! ! "#! )&7! 76+-')7-(! 27! 17)! 9733.)+0! )*+1! )*+! 97--+(6712,1:! 74(+-;'4/+(! 9'117)! 4+!
3+'(.-+2!(,3./)'1+7.(/<=!!>'-)!?'8!)+//(!.(!)*')!)*+!76+-')7-(!"!'12!#!17)!9733.)+=!!>'-)!
?98!)+//(!.(!)*')!3+'(.-+3+1)!#!@2,().-4(@!)*+!3+'(.-+3+1)!7#!"!(7!)*+!)&7!3+'(.-+3+1)(!
'-+!17)!9736'),4/+!?9'117)!4+!3'2+!(,3./)'1+7.(/<8=!
!
%=%A!!?'8!!B*+!+,:+1;'/.+!+5.'),71(!#7-!)*+! !" !76+-')7-!'12!)*+!#7.-!+,:+1()')+(!'-+!
!" ! "! " ! "! ! ! "!
!" ! #" " ! #" ! ! #"
!
!" ! #" " ! #" ! ! #"
!
! ! ! " ! "! ! ! "!
!" "
?48!!B*+!3')-,C!-+6-+(+1)'),71(!7#!)*+! !" !+,:+1()')+(!'-+!)*+!.1,)!;+9)7-(!
!
! "!
!
#
!#
#
#"
#
$
$
$
$
! $
&
# #
& %!! ! #" ! #
&
# $
&%
#" $
$
! $
&
# $
& %!! ' #" ! #
&
# #
&%
#" $
$
! $
&
# $
& %!! ' "! ! #
&
# $
&%
#" #
$
&
&!
&
&%
!
?98!!B*+!3')-,C!-+6-+(+1)'),71!7#!)*+! !" !76+-')7-!*'(!)*+!+,:+1;'/.+(!'/71:!)*+!2,':71'/D!
" ! !"
"
$
$ #
!
!" ! $
#
$
$# #
!
?28! ! B*+! +,:+1;'/.+! +5.'),71(! #7-! )*+!
!
!
!! !"! ! ! # ! " "$ ! !"! !
!"##"#$%
%
'
#
# '
! $" "
!
# '
#
! $" "
'
#
#
! "! " '&
#
#
#
! ! ! 76+-')7-! #7//7&! #-73! )*+! :+1+-'/! +5.'),71!
%
$&'(%
!"#$%$&'()*+',-$
! ! ! !" " #$% ! ! ! !"
! ! ! #! " #$% ! ! ! #!
!
! ! ! #! " #$% ! ! ! #!
!
! ! ! !" " #$% ! ! ! !"
!
"#$%$!"$!#&'$!()**%$(($+!,#$!!"!-&.$-/!
0$1!!2#$!3&,%45!%$*%$($6,&,476!78!,#$! ! ! !7*$%&,7%!#&(!,#$!$49$6'&-)$(!&-769!,#$!+4&976&-:!
!
!
#
#
!! ! #
#
#
"
!
"#
$
"!
%
"#
$
%
%
"!
%
%
%
%
%
"#
$
"!
%
$
&
% &
&!
% &
"# ! &
$ "
%
%
!
;/;<!!2#$!*%7=$>,476!7*$%&,7%(! !! !&6+! !! !&%$!%$*%$($6,$+!.?!,#$!3&,%4>$(!
! ! " $
! " " $
!! ! #
#!!!!!!' ! #
!
&
" " %
" ! &%
"
"
!
2#$! @$%34,4&6! &+=746,(! 78! ,#$($! 3&,%4>$(! &%$! 7.,&46$+! .?! ,%&6(*7(469! &6+! >73*-$5!
>76=)9&,469!,#$3A!?4$-+469!
!
! " # $
! # # $
!!! ! #
$!!!!!!'! ! #
!
&
# # %
# " &%
"
"
!
B46>$! ,#$! @$%34,4&6! &+=746,(! &%$! $C)&-! ,7! ,#$! 7%4946&-! 3&,%4>$(A! ,#$($! 7*$%&,7%(! &%$!
@$%34,4&6/!
!
!
!"##"#$%
%
$&'(%
!"#$%$&'()*+',-$
!"#$$%&'$()&*+,-./'*$'0123-4.$54*$2$/'.'*26$7323'$-7$
"
!! ! $% ! # " &% # ' ! $% ! # " &% $
%
! "# %
$
84*$2$394:7323'$7;73'<=$3&'$()&*+,-./'*$'0123-4.$-.$<23*->$54*<$-7$
" ! $! ! # " $ ! %!
!! #
& ##
"# #" $" ! # " &% #" #
!
$
# $ ! $! ! # " $
&$
&#
%" &% #" $" ! # " &%
%&-7$/-?'7$3&'$394$'0123-4.7$
"
$! ! # " # %!$! ! # "
"#
$
"
!! $" ! # " # %" $" ! # "
! "#
!!
$
@&'.$*'9*-33'.$27$$
!"! ! # "
%
# !$ ! "! ! # "
!#
!
$
!"" ! # "
%"
# !$ "" ! # "
!
! !#
$
3&'7'$2*'$'01-?26'.3$34$A0"$B!"CD"$
$
!"E$$%&'$'?4613-4.$45$2$/'.'*26$7323'$71FG')3$34$2$3-<':-.,'H'.,'.3$I2<-634.-2.$-7$
! ! ! " # # "# $"%&#! ! &# $
#
!
%&'$H*4F2F-6-3;$45$2.$'.'*/;$<'271*'<'.3$-7$
$
P!" ! !" ! " # #
!
! !"
#$ &
!
"'!% # !
%
!
!%
%
$
!
#$ &
%
#$ &
!
"'!% # !
%
! " !%
%
$
!
$ "% ! $" &
"'!% # !
"'!" # ! !
! $"
!
!
9&-)&$-7$-.,'H'.,'.3$45$3-<'"$$%&'$H*4F2F-6-3;$45$<'271*-./$2.43&'*$4F7'*?2F6'$!$-7$
%
!
!
P!" ! !" ! " # # ! !" # $% &
(% ! # $% &
!" (% $
%
%
!
J5$!$2.,$"$)4<<13'=$3&'.$3&';$7&2*'$'-/'.7323'7=$2.,$2771<-./$3&23$3&'$-.,'>$62F'67$2*'$
3&'$72<'=$ !" #$ ! #" #$ ! ! "$ $2.,$3&'$H*4F2F-6-3;$
$
!"##"#$%
!
"'(% # !
%
"'(% # !
&'#%
!"#$%$&'()*+',-$
P!" !
!
"#!$%#&!"'()*)'()'+!&,!+"-).!
!
/./!!01)!2$-"%+&'"$'!"#!
!
"# %
!
!
!
# "$ ! #" %!&'" ( ! ! #" !
!&'$ ( !
$
$
!!
!
!
" # !#
"%
! %$ ! $
!$ &
(!
"! # ('
3#"'4!+1)!(),"'"+"&'!
!"# ! !
!
"$
!
"%
5)!+6)$+! ! ! !$'(! ! ! !$#!+1)!#"()#!&,!$!6"41+!+6"$'4%)!+&!&7+$"'!
!"# ! !
!
"$
" ""
&
%
&
$
'!!!!()!! !
"%
" %& " " $&
!
$'(!56"+)!+1)!2$-"%+&'"$'!$#!
$ %&'" '() " '
"
!
!!
! "! ! ! #! $ &
'() " # %&'" )(
!
%
!
8"$4&'$%"9"'4!+1)!2$-"%+&'"$'!4":)#!+1)!)')64;!)"4)':$%<)#!
!
!
!
! "! ! ! #! $%&" # $
! "! ! ! #! &'( "
!
!
""
!
!
!
!
!
!
! " ! ! # &'( "
#
! " ! ! # $%&" # $
!
!
!
(% !
( %!
(
%!
! "! ! ! #! $%&" # $ * ' #
! "! ! ! #! $%&" # $ * # '
! "! ! ! #! &'( " * " "
'&
)& !
) &!
)
!
!
!! !
!! !
!
!
!
#
! " ! ! # $%& " ! $ #
! " ! ! #! &'( ! " " "
)
)
!
!
$! #
! "! ! ! #! " "
)
!
$"%
! "! ! ! #!
!
!
#
$
#
#
$
!
$
$#!)=*)>+)(!$'(!+1)!)"4)'#+$+)#?!
!"##"#$%
%
&'$%
!"#$%$&'()*+',-$
$ %&'"
!
! "! ! ! #! $ &
!
% '() "
$ ! '
!
'() " ' $ ! '
! "! ! ! #! &
"#
)
&
)
# %&'" ( % " (
!
% " )(
! %&'" ! " '() " " #!!!!!*!!!!" " !
## # %&'"
'() "
$ ## # %&'" '
! !! &
"#
% '() " )(
!
!
!
!
+ %&' ! "
'() "
* '() %&'
!
!
"
",
! "
!
"
! " ! %&'"
+ '() ! " / - '() !
! .
*,
! " 0
-. %&' ! -1
! # " %&' "! ! ! '() "! #
! "
!
!
!
#
#
! "
!
/
0
-1
!
" '() "! ! # %&' "! #
!
"#$!!%&'!()*+,-./+)/!+0!
"! !
!!
"
!
!
# $ ! &
#%
!
$ ! "$ ('
%&'!1.**2-)-.3!4+-&!-&'! !" !+0!
!! " "# # !
!
"! $
%
# ' $ & "# ' $ &
" # ' $ & "! $ # ' $ &
&%
!!"!!
&
% %$ $ "' (' % %$ $ "' ('
$ $ "' (' % %$ $ "' ('
%
)# ' $ &
# ' $ &,
# "&
! % ( ! $ +%
"
(
%$ $ ' (' . ! $
$ %'
+*$ $ ' '
.-
!
!
%&'!1.**2-)-.3!4+-&!-&'! !" !+0!
!! " "# # !
!
!
"! $
%
# ' $ & "# $ ' &
" # $ ' & "! $ # ' $ &
&%
!!"!! %
(
%
(
% $ ' $ (' % %$ $ "' ('
$ $ "' ' % $ ' $ '
%
)# $ ' &
# $ "' & , # " & % # $ % &
# "&
! % ( ! $ +%
"
(
%$ ' $ (' . ! %$ % (' ! $ %$ "% $ (' / $
$ %'
+*$ "' $ '
.-
!
%&'!1.**2-)-.3!4+-&!-&'! !" !+0!
!! " "# # !
!
!
!"##"#$%
"! $
%
# ' $ & " # $ "$ &
" # $ "$ & "! $ # ' $ &
&%
!!"!! %
(
%
(
% $ $ $ (' % %$ $ "' ('
$ $ "' ' % $ $ $ '
%
)# $ "$ &
# $ $ & , # " & % # $ "%$ &
# "&
! % ( ! $ +%
( " %$ $ $ (' . ! %$ % (' ! $ %$ "%$ $ (' / $
$ %'
+*$ "$ $ '
.-
%
!
&'&%
!"#$%$&'()*+',-$
!"#$%&'($&#)*)%%'"($"+$,$%&'(-./0$&,#1'*2)$3'14$,$5,6()1'*$5"5)(1$'($,$7('+"#5$5,6()1'*$
+')28$ ,2'6()8$ 3'14$ 14)$ !-,9'%:$ 14)$ &#";,;'2'1<$ "+$ 5),%7#'(6$ 14)$ !" $ *"5&"()(1$ '%$ 1'5)$
'(8)&)(8)(1$;)*,7%)$ !" $*"5571)%$ 3'14$14)$=,5'21"(',(>$$?"(@)#%)2<:$14)$&#";,;'2'1')%$
"+$5),%7#'(6$14)$ !" $"#$ !" $*"5&"()(1%$,#)$1'5)$8)&)(8)(1$;)*,7%)$14)<$8"$("1$*"5571)$
3'14$14)$=,5'21"(',(>$
$
A>B$ C,D$ $ E4)$ &"%%';2)$ #)%721%$ "+$ ,$ 5),%7#)5)(1$ "+$ 14)$ %&'($ *"5&"()(1$ !" $ ,#)$ ,23,<%$
!! ! ! $+"#$,$%&'(-!$&,#1'*2)>$$E4)$&#";,;'2'1')%$,#)$
P! ! "
$
P" ! "
"
!
! ! #!$
!
" ! #!$
"
#
"#
"
#
"
! !
#
"
#
"
! "
#
"
$
"$!
" !
"
"
#
"
"
"
#
"
"
"
#
"
"
"
#
"
$
C;D$ $ F($ ,$ +')28$ ,2'6()8$ ,2"(6$ 14)$ "-,9'%:$ 14)$ )()#6<$ )'6)(%1,1)%$ ,#)$ ! ! $ ,(8$ 14)$ )()#6<$
)'6)(@,27)%$ ,#)$ !! !! ! " $ 3'14$ ! ! ! !"! #! >$ $ E4)$ '('1',2$ %1,1)$ @)*1"#$ 3#'11)($ '($ 14)$
)()#6<$;,%'%$'%$
$
!
"
!
! ! ! " # $ # $ ! ! ! $ !$! " ! ! ! " $ #
#
$ ! !$!
"
#
"
"
#
!
"$
$$
!
!
!
!
"
"$## #!
!$!
""
"$
!
$
!
E4)$1'5)$)@"2@)8$%1,1)$'%$
$
! !! " #
!
!
"
""#$$ !
$ % !$!
!
!
"
""#$" !
!
" %#
!
"
""## #!
"
"
!
"
"$## #!
"
,(8$34)($)9&#)%%)8$'($14)$ !" $;,%'%$'%$
! !! " #
#
$
!
"
!
"
""## #!
!"
"
"## # ! "
!
!
"
$ $#
$ "$## #!
"
" !$!
!
"
" $ !$!# ! "
!
"
"## # ! "
$ % !$!
!
$ "#
!
"
" "$## #!
# $%& !# #! " " $ !$!&'( !# #! " " "
"
!
"
""
"
" %$
"
"
$
C*D$$E4)$&#";,;'2'1<$"+$5),%7#'(6$ !" $1"$;)$!! ! ! $'%$
P! ! "
$
"
"
! ! #" $
!
"
!
"
!
!
"
#
"
!
#$% ## &" ! $!!!
! !
"
!
"
!
"
$# #$% ## " ! $ ! !!!%'( ## " ! $ " $
&
%'( ## &" ! $ "
!
#" ! %'( # &" $
"
!
!
&
#" ! ! #$% ## " ! $ %'( ## " ! $$ $
&
&
C8D$$!'67#)G$
Z
Y 42
X
?
?
!"##"#$%
%
$
&'(%
!"#$%$&'()*+',-$
!"#$%&'$$()*$+*&,-.*+*/0$1233&4,*,$0)*$,0&0*$02$$
! !!" # $ ! $
$
%5'$ $ 6/$ &$ 78*39$ &38:/*9$ &32/:$ 0)*$ !;&<8,=$ 0)*$ */*.:>$ *8:*/,0&0*,$ &.*$ ! $ &/9$ 0)*$ */*.:>$
*8:*/?&3-*,$ &.*$ !! !! ! " $ @80)$ ! ! ! !"! #! "$ $ ()*$ 8/808&3$ ,0&0*$ ?*102.$ @.800*/$ 8/$ 0)*$
*/*.:>$5&,8,$8,$
! ! ! " # $ ! # ! $ ! $ !$! " ! " " $ ! # ! $ $
$
#
"
#
$ !$!
!
" $ !$!! " $ " "
!
$
"
"
#
()*$08+*$*?23?*9$,0&0*$8,$
! !! " # !" ""#$$! ! $ !$! !" ""#$"! ! " # !" ""## #! " $ !$! !" "$## #! " " $
!
%1'$ $ 6/$ 0)8,$ /*@$ 78*39$ 0)*$ */*.:>$ *8:*/,0&0*,$ &.*$ ! ! $ &/9$ 0)*$ */*.:>$ *8:*/?&3-*,$ &.*$
!! !! ! " $@80)$ ! ! ! !"! #! "$$$A*$,0&.0$0)*$1321B$2?*.$72.$0)8,$/*@$08+*$*?23-082/"$$()*$
8/808&3$,0&0*$?*102.$@.800*/$8/$0)8,$/*@$*/*.:>$5&,8,$8,$
$
! !!" #
"
#
#
!
#
"
#
!""# !#
"
#
$ !$!
#
"
#
!$"# !#
!""# !# # ! $ $ $ !$!
!!
""# ! # #
"
#
!
" # $ $ ! $ $ !$! " $ ! $ "
#
!$"# !# # ! $ $ "
"
!
"$
$
!$!
!
"
#
!!""!!$"# !# # ! $ $ !$ "# ! !""# !# # !!$!"!$"# !#
"!
"
#
!""# !#
#
$ !$!
!""# !# # ! $ " $ !$!
#
""
"
#
"
#
!$"# !#
#
"
!$"# !# # ! $ " "
$
$
()*$08+*$*?23-082/$27$0)8,$,0&0*$8,$
! !! " #
!
"
#
!
"
#
!
"
$
!"
!"
!"
"## # ! "
"## # ! "
"## # !
"
!""
!!!$!#"
!!"#!"$## #! " ! ""#$$ %
!!"#!"$## #!
"## # ! "
"
"
!"# $ & !$ !"
!
$ & !$ !"
$## # !
""
!
()*$4.25&58380>$27$+*&,-.8/:$ !" $02$5*$!! ! ! $8,$
$
P! ! "
!
! ! #" $
!
"
!
!
##
"
!
!
!! "
$ & !$ !" ! ""## #! " !!$!#"$## #!
"## # ! "
"
!!$!#"$## #!
""
""
"
"#$" % !
"
$## # ! "
&
" &$
&
$
#
$
#"$# #" !"$ ! % !! "! "!!!$#!$# #" "
%
$
!
$
C,8/:$+&0.8<$/20&082/=$@*$)&?*$
P! ! "
$
!
"
#
#
+) !#" $
! ! * !" " # !!#
+,
$ #
$
$
# ! & !
!
! " !!!!#"!#" #$
(
" %
#
$
'
#
#
$
" !$! "!#" #$ !!# #! ! # $ ! !!!!#"!#" #$ #! ! # $
"
!
"
"
"
$
" !$! "!#" #$ ! #"!#" #$ ! # ! ! ! ! ! # ! #"!#" #$ ! "!#" #$
" !% ! ! # ! &'( " #$ ! # &'( " #$ "
$
# ! & +!
.
" %
$ !# (' +/
"
#! ! &'( " $ $ " # ) ! &'( "" $ $
"
#
!
%
#
$
!"##"#$%
%
&'(%
"
""
$
!
!"#$%$&'()*+',-$
!"#$%&'$()*+,-$'.)&,/*
X
Z 42
Y 42
?
X
?
*
*
012*!"#$%&'$()*+,-$'.)&,/*
Z
X 42
?
Z
?
*
3-$*'$.+4%$'$()*.)*)-$*5&%+)*.(.678$%*,966.#+$+*)-$*+).)$*)9**
! !!" # $ *
*
:(* )-$* 5&$6;* .6&<($;* .69(<* )-$* !=."&+>* )-$* $($%<7* $&<$(+).)$+* .%$* ! ! * .(;* )-$* $($%<7*
$&<$(?.64$+* .%$* !! !! ! " * @&)-* ! ! ! !"! #! 1* * 3-$* &(&)&.6* +).)$* ?$,)9%* @%&))$(* &(* )-$*
$($%<7*A.+&+*&+*
! ! ! " # $ # ! $ ! ! ! $ !$! " ! ! ! " " $ # ! ! $ $
*
#
"
#
$ ! !$!
"
"
#
"$
!
!$!! ! " $
""
!
*
!
3-$*)&'$*$?96?$;*+).)$*&+*
! !! " #
!
*
!
"
""#$$ !
!
$ % !$!
!
"
""#$" !
!
"
%
#
!
"
""## #!
3-$*#%9A.A&6&)7*95*'$.+4%&(<* !" *)9*A$*!! ! ! *&+*
P! ! ! " " ! #
*
!
"
!
"
!## # ! !
!
! !
"
"
!
! $ $ !$!
"!## #!
"
!
"
!
$ $ !$!
$## # ! !
!!
"
!
!
$
"$## #!
!
! "
"
!
!
$ % !$!
"
$
!## # ! !
#
!
"
"$## #!
"
" %*
!
"
!
!!! "
$## # ! ! !
#!
! $%& #
!
*
!
39*-.?$*)-&+*#%9A.A&6&)7*$B4.6*)9*CDE*%$B4&%$+*
*
P! ! !"# $
!"%# &
!" # #
! !!"!!! % ! *
$$! '
$$! (
3-$*)&'$*)9*)%.?$%+$*)-$*;&+).(,$*"*&+* ! ! " # >*7&$6;&(<*
*
! $! %
!"! # !
! !!!"!!!# !
!!! *
"$! % #
$!"!
*
*
!"##"#$%
%
&'!%
!"#$%$&'()*+',-$
!"#$%&'()*+(,-$./0(+1-*/2$
^n
Z
?
Y
42
?
$
30($+(1.4)(+(,-$1-$-0($5*).-$1,1678()$/9661'.(.$-0($.-1-($-9$$
! !!" # $ $
$
:,$ -0($ 5*(6;$ 16*<,(;$ *,$ -0($ !"='61,(>$ -0($ (,()<7$ (*<(,.-1-(.$ 1)($ ! ! " !"# !$ ! ! #%& !$ " $
1,;$ ! ! ! !"# "$ " ! %&! "$ ! $ 1,;$ -0($ (,()<7$ (*<(,?164(.$ 1)($ !! !! ! " $ @*-0$
! ! ! !"! #! "$$30($*,*-*16$.-1-($?(/-9)$@)*--(,$*,$-0($(,()<7$A1.*.$*.$
! ! ! " # $ # ! $ ! ! ! $ !$! " ! ! ! " " $ # ! ! $ $
$
# "#$ $ ! !$ $&' ! "
#
%
#
%
"$
!
!$!! ! " $
""
!
$
!
30($-*+($(?96?(;$.-1-($*.$
! ! ! " # !"# "$ "##$$ ! ! $ % !$ #%& "$ "##$# ! ! ! # % # !"# "$ "##$ '!
!
30($')9A1A*6*-7$95$+(1.4)*,<$ !" $-9$A($!! ! ! $*.$
$
P! ! "
$
!
! ! #" $
!
"
!
#
! "#$ "! ##$$ %"
!
$
$ % !$!#%& "$ "$#$ '!
! % !!!$&' "! #!$$ %"
!
#
%
$
!
$
# %$
$
B.*,<$+1-)*&$,9-1-*9,>$@($01?($
P! ! "
!
"
#!
!"
" !" #$% "" #!"# &$
$
$
*
,
" !"# $
+#$% " # &
,-
"
# #$% "" ! " %'( "" $ ! %'( "" #!"# $ " #%'( "" ! " #$% "" $
$ #$% "
"
"
&
&% %'( ""
'
!"# $
) ! %'( "" # &
)(
&
$ %'( "
"
"
&
&% ! #$% ""
' .,
)/
)( ,
0
"
"
" !" #$% " "" #!"# &$ " ! " %'( "" #$% "" #!"# &$ " ! %'( " "" #!"# &$ " ! " %'( "" #$% "" #!"# &$
" !" #$%
"
!
"
"
!
"
# &$
"
%#$%
! " #$%" %'(
" # &$
"
# &$
"
! %'( " " %'( "
# &$
"
%##$%
# &$ "
"
"
!
"
! " %'( " %'(
# &$
"
#$%
! %'( " %'(
# &$
"
%! ! %'(" %'( # &$ &
# &$
"
! %'( " %'(
! #$% " " %'( "
$
&
# &$ "
"
# &$
"
" "
! #$% " " %'( "
$
# &$
"
&
C9)$ ! ! ! >$ -0($ ')(/(..*9,$ *.$ 1)94,;$ -0($ "=1&*.>$ @0*/0$ /14.(.$ ,9$ /01,<($ -9$ -0($ 9)*<*,16$
! ! ! " # $ $.-1-(2$
$
P! ! #! " ! $ " "# $
C9)$ ! ! "! >$ -0($ ')(/(..*9,$ *.$ 1)94,;$ -0($ !=1&*.>$ @0*/0$ /14.(.$ -0($ 9)*<*,16$ ! ! ! " # $ $
.-1-($-9$')(/(..$-9$5466$16*<,+(,-$1,;$1,-*=16*<,+(,-$169,<$-0($#=1&*.2$
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
P! ! #! "
!
"
!
$ " "! %" # #$% $ &" & !
!
"#$!%&'()*+(,-!./0(+1-*/2!
^n
Z
?
Y
42
?
!
30(!+(1.4)(+(,-!1-!-0(!5*).-!1,1678()!/9661'.(.!-0(!.-1-(!-9!!
! ! ! " # $ ! # "#$ "% $ $ "## $&' "% $ !
!
30(!1,:6(.!59)!-0(!5*).-!1,1678()!1)(! ! ! "! !1,;! ! ! "! <!.9!-0(!*,*-*16!.-1-(!*.!
! !!" # $ ! #
!
"
#
$ $ "#" $
"
#
# !
=,! -0(! 5*(6;! 16*:,(;! 169,:! -0(! !>1&*.<! -0(! (,():7! (*:(,.-1-(.! 1)(! ! ! 1,;! -0(! (,():7!
(*:(,?164(.!1)(!!! !! ! " !@*-0! ! ! ! !"! #! #!30(!-*+(!(?96?(;!.-1-(!*.!
!
! ! ! " # !" ""#$$ ! ! $ $ "## # !" ""#$" ! ! " # !" ""#$ $! " $ $ "## # !" "$#$ $! " " !
!
30(!')9A1A*6*-7!95!+(1.4)*,:! !" !-9!A(!!! ! ! !*.!
P! ! "
!
!
"
"
!
$
"
!
$
"
!
"
#
$
! !" &
&
%
!
"
$
!
"
#!"" #$
"
#"# $ #!"" #$
"
'
)
)
(
"
#
$
"
#!"" #$ " ! "#!"" #$ " #"# $ " !" #"# % #!"" #$ " #!"# % ! "#!"" #$ " #"# %
#! ! ! ! "# # ! "# #
#! ! &'( #" $ ! $$ " #! ! &'( " $ !
!"" # $ !"# $
#
#
$
$
"
!
!"" # $ !"# $
!
"
!
"
#
!
"
)*& " #$
$
!
"#BC!%&'()*+(,-!./0(+1-*/2!
Z
^n
Z
42
?
?
30(!+(1.4)(+(,-!1-!-0(!5*).-!1,1678()!/9661'.(.!-0(!.-1-(!-9!!
!
!
! !!" # $ !
=,! -0(! 5*(6;! 16*:,(;! 1-! DE!! *,! -0(! "!>'61,(<! -0(! (,():7! (*:(,.-1-(.! 1)(!
! ! " !"# !$ ! ! #%& !$ " ! 1,;! ! ! ! !"# "$ " ! %&! "$ ! ! @*-0! ! ! " ! ! 1,;! -0(! (,():7!
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
!"#!$%&'(!)* &+!* !! !! ! " * ,"-.* ! ! ! !"! #! /* * 0.!* "$"-"&'* )-&-!* %!1-2+* ,+"--!$* "$* -.!*
!$!+#3*4&)")*")*
! ! ! " # $ # ! $ ! ! ! $ !$! " ! ! ! " " $ # ! ! $ $
*
# "#$ $ ! !$ $&' ! "
#
%
#
%
"$
!
!$!! ! " $
""
!
*
!
0.!*-"5!*!%2'%!6*)-&-!*")*
! ! ! " # !"# "$ "##$$ ! ! $ % !$ #%& "$ "##$# ! ! ! # % # !"# "$ "##$ '!
!
0.!*7+24&4"'"-3*28*5!&)(+"$#* !" *-2*4!*!! ! ! *")*
*
P! ! ! " " ! #
*
!
"
! ! "#$ #! "!#$ %!
$ % !$!#%& "$ "$#$ '!
$
$ $ !$!$&' #! "$#$ %!
!
!
!
$
#
!
$
# %*
*
9)"$#*5&-+":*$2-&-"2$;*,!*.&%!*
P! !
"
*
,
!"# #
! " +#$% "& ! !
,-
#
$ #$% "
&
&
&
"
&% %'( &
'
$"# #
) $ %'( "& ! !
)(
! #$% "& %'( "& !!"# !# & ! %'( "& #$% "& !$"# !#
*
! !&" %'( "& #$% "& %'(
# !# &
&
! %'( & " %'( &
$ %'( "
&
&
&
&% ! #$% "&
' .,
)/
)( ,
0
&
& &
# !#
&
*
! "& %'( &
# !#
&
*
</==*>:7!+"5!$-*)1.!5&-"1?*
^ 42
n’
^n
?
Y
?
*
0.!*5!&)(+!5!$-*&-*-.!*8"+)-*&$&'3@!+*12''&7)!)*-.!*)-&-!*-2**
! ! ! " # $ ! # "#$ "% $ $ "## $&' "% $ *
*
0.!*&$#'!)*82+*-.!*8"+)-*&$&'3@!+*&+!* ! ! "! *&$6* ! ! "! ;*)2*-.!*"$"-"&'*)-&-!*")*
! !!" # $ ! #
*
$ $ "#" $
"
#
# *
"
#
A$* -.!* 8"!'6* &'"#$!6* &-* BC!* "$* -.!* !"D7'&$!;* -.!* !$!+#3* !"#!$)-&-!)* &+!*
! !! " !"# "$! ! ! #%& "$! # * &$6* ! !" ! !"# #$" " ! %&! #$" ! * ,"-.* " ! ! # ! * &$6* -.!* !$!+#3*
!"#!$%&'(!)* &+!* !! !! ! " * ,"-.* ! ! ! !"! #! /* * 0.!* "$"-"&'* )-&-!* %!1-2+* ,+"--!$* "$* -.!*
!$!+#3*4&)")*")*
*
! ! ! " # $ ! # ! $ !" ! !" $ !$! # !" ! !" # " $ ! # ! !" $ $
!"##"#$%
#
!
"
#
$%& $#" $
"
#
"
"#% ' &() $#" $
!$!
!"
%
!
"
#
&() $#" #
"
#
!
"$
!"
!$!
"
!
!"
"#% ' $%& $#" #
#$
!
"#
!"
*
!"
&'(%
!"#$%$&'()*+',-$
!"#$%&'#$#()*(#+$,%-%#$&,$
$
!
#!
! !! " #
!
!
"
#$% #"" $
!
"
!
"
#$% $
!
"
#"
"
"
""
"#$ & %'( #"" "%#$$ !
"
#$ &
%'(
#"
"
!
%#& ) ! "
$
$
%"
%"
!
!$!!
!$!
!
"
%'( #"" %
!
"
!
"
%'( %
!
"
#"
"
"
""
"#$ & #$% #"" "%#$% !
"
#$ &
#$%
#"
"
!
$#& ) ! "
%
%"
%
%"
$
!"#$./)0-0&*&%1$)2$'#-,3/&45$ !" $%)$0#$!! ! ! $&,$
P! ! "
"
$
"
!
"
#!
#"
"
"
"
$
#
"$ &
#"
"
$
$
%'( #"" # #$% #"" ! " %'( #"" $ #!"% )$ " !
"$ &
$
#$% #"" # %'( #"" ! " #$% #"" $ #!"% )$
!
&
!""#"$ & %'( #"" #$% #"" %'(
#! ! "# $ #
!"% ) $ "
!
&
!""#"$ & #$%
% )$
"
!
&
#
" !!
"
!
!!"
"
!"
!
"
% )$
"
#
$
$
! ! ! "#"$ & %'( # " %'(
$# #$%
% )$
"
"
% )$
"
! " %'(
" !!
"
% )$
"
$!#
!
"
% )$
"
!
!"
"
" !!
"
$#! ! #$%# " $ %'(
% )$
"
!
"
% )$
"
!
"
% )$
"
% )$
"
"
% )$
"
673-/&45$-4+$,&'.*&21&45$5&(#,$
$
P! ! "
!
"
"
!
#
"
!
#
%# # ! $ $ $ %&'
%$ !
%$ !
$
"
% )$
"
% )$
"
!
*
"
!
# $ " #$% ! # ! " $ %'(# " %'(
%#! ! " $ #$% ! ##$%# " ! # " ! !$%'(# "$%'( & !
!" %! #$% ! ## " ! !$ #$%# " ! %'( # " $ %'( &
% )$
"
"
! "#"$ & %'( " #"" #!"% )$ " ! "#"$ & #$% " #"" #!"% )$
! "" ! ! "#"$ & #$% " #"" %'(
#
0
.
.
.
1
).
+.
+* .
2
"
#$% " #"" #!"% )$ " ! %'( " #"" #!"% )$ " ! " %'( #"" #$% #"" %'(
"$ &
"
#
$
!"
# #$% ! #
! # %'( ! #
!
&
,
& #$% # " )
"
. ! #$% #"" ! ! #"$ & %'( #"" #!"% )$ " (
+
"
"
#"
(' %'( " +*
.
.
& %'( # "
. !
"
"$ &
!"% ) $ "
#"
#"
!
(
.! " %'( " ! " # #$% " #
(' ! #$% #""
./
$ ! ("
$
#
$
! # " $ $ ')* $
$ %&' ! (" ! $ %&'$ # ')* ! ("
$ %&' ! (" ! ')* ! ("
&
! ("
$
! # $ %&'$ # %&'
&
! ("
$
')*
! ("
$
&
$
$
89:;$$!"#$#&5#4,%-%#,$-4+$#&5#4(-*3#,$)2$!$-/#<$01$&4,.#=%&)4>$
$
!"##"#$%
! ! $
! & $
! ! !! " !# $!!!! !! ! % #
"!!!
!
!
%
#
#" ! &% $
& &%
"
!
%
&'#(%
!"#$%$&'()*+',-$
!"#$""%#&'#()$%#&*"#")+"$,"-&'./#'(#!0##
! ! " $
#
!!#
" ! &%
"
!
#
1'2#%)3+'$34)5"0#
#
"
!" !
! !!!!!#!!!! " " ! " ! # ! !!!!!#!!!! " ! $! #
! !"
6)$%#&*"#")+"$,"-&'./0#
#
! " $
! ! ! $! " $
!
"!
#" # &% !!!!'!!!!# ! " #
#" ! ! &% #" # &%
7)"4%)$+#
!! "
#
!
!
"
#"
!
! ""
$!
!
"
! ! $
##
#
" ! &%
8)9"2)/"#
#
! ! ! $! " $
! " $
!
'!
#" ! ! &% #" # &%
#" # &% !!!!(!!!# ! '" #
!! !
#
!
!
"
""
!
! ""
#!
!"
$ "#
!
"
" ! %
#$
#
# !! '&
:*"#)$)&)34#/&3&"#)/#
! ! ! " # $! #
!
:*"#&);"#",'4,"%#/&3&"#)/##
#
"
#
"
"!
! ! ! " # !" ! ""#$!! ! $! $ ""#$"! ! $" " "
!
:*"#"<="-&3&)'$#,34>"#'(#!#)/#
#
!"##"#$%
%
"
#
" " %
$$
#
# " '&
!
"
# ""#$!! ! &
# % "#$ ! ! ( #
$ " " '
&'##%
!"#$%$&'()*+',-$
! ! ! "" # ! ! "" # !
!
!
!
!
"
"
#
$$%!" !
#
!
"
$$%" " !
#
"
#
" &#($%"" ! %
!
$
($% " ! '
# &# ! &
#$$%!"
#$$%""
!
!
&
"
# "$#
"#
$ & %
& $ '&
$$ " %! (%" #" !
!
"
" #($%!" ! %
# $ ($% " ! '
# # " &
$ #$$" %" (%! #"
!
#
!
" % ( %! %
! & %&' $ "
" ' ! & %&' ") '()* " #
&
# !
"#$%#!&'#!()'*!+*#,-#$%.!/0!1#&#*2/$#1!&'#!#$#*3.!1/++#*#$%#4!
! !"#$ !
!
!
%! " %"
!
!
!
5675!!8/*0&!9#!$##1!&)!+/$1!&'#!#$#*3.!#/3#$:;<-#!;$1!#/3#$0&;&#06!!=/;3)$;</>/$3!!!./#<10!
&'#!#/3#$:;<-#0!
!
# !! ! "
%
!
%
%
"
$
!
!" ! "
!
$
&
(
#
#
!
( ! !!!!)!!" !! ! " # " !" ! " # ! " " !" ! " # ! !!
!
!! ! " ('
"
%
!)!!" !" ! " # " !! ! " # ! " # ! !!!!)!!! " ! !" $ !! & "$ !! ! "
#
;$1!&'#!#/3#$:#%&)*0!
!
! !!
#
# !
# "
"
!
!"
!
" $! #
&
! &# $
#
!! &% " %
!!# " "% ! !"#
$
! # $
& ! ! # $ & !!!'!!!
!"$ ! !"$
!!!'!!!# ! % ! !
"
&
#
&
%
" % %
"# " !! % ! !"%
!
! ! $
# " $ " % ! "!!!'!!! $ ! "!!!'!!!# ! !$ $ ! "$ % ! !!!!'!!! !" ! # ! # " &
#
&
! %
"
!
#
!"##"#$%
#
#
#
%
&'#$%
!"#$%$&'()*+',-$
!
! !!
#
# !
# "
"
!
!"
!
" $! #
&
! &# $
#
!! &% " %
!!# % "% ! # !! " " $ #
$
! # $
& ! # ! " " $ # $ & !!!'!!!
!"$ ! # !! " " $ $
!!!'!!!$ ! !## ! "%
!
&
#
&
%
" % %
"# % !! % ! # !! " " $ %
# % $ % % ! "!!!'!!!$ # ! "!!!'!!!# !
$
$
$
$
!!!'!!! !! " " !
"
$
" "
"
$
# $ ! !# % ! "
"
$
! " $
% ! "$ # ! &
#
&
" "" %
"
$
!
!
"#$!!%&'!()(*(#+!,*#*'!(,!
" ! %
! ! ! " # " # !# ! $ $ # ' !
$
'
# ! &
!
!
%&'!*(-'!'./+.'0!,*#*'!(,!!
! !! " # "
!
"#$!! !
!
#
#
% "#$!!
$! " " % "
#
$
!
&
(
(!
'
%&'!12/3#3(+(*4!/5!-'#,62()7!*&'!,4,*'-!*/!3'!()!,*#*'! ! !(,!
P ! ! ! "! #
!!
!
!
! ! ""#$"!
!!
!
!
! ""#$"!
!! !
! "!
!"3$!!%&'!()(*(#+!,*#*'!(,!
! !!" # " #
!
#
$
!
!
%&'!*(-'8'./+.'0!,*#*'!(,!!
! !! " #
"$
!
!
"
!"
!
"
"# ! $# $ % "! !
"
!"##"#$%
$# $ % " ""#! $# " %"!
"# ! $# $ % "! ! !
"
" !" ""#$#!
!
# ! &
!! $ " " !! " " " ! % % ! ( !
%
(
$ # '
# ! &
% # ("
%
(
$ ! '
# ""# %&' ! %! ! "
%
!
#
%
% " ()% ! %! ! "
$
%
!
"
"
!
$# " %
"# ! $# " % "! ! !
"
"
# ! &
% # (!
%
(
$ "! '
&
(
(
(
'
&'#&%
!"#$%$&'()*+',-$
!"#$%&'()(*+*,-$'.$/#)01&*23$,"#$0-0,#/$,'$(#$*2$0,),#$ ! $*0$
P ! ! ! "! #
!!
$
"
! #" ""#$$! ! " %&' " %! ! # ! %&' " " %! ! # !
"
#
"
"# $ %&' " "%! ! ## $
$
4567$$)8$$9#.'&#$:#$;'$)2-$<)+<1+),*'20$:#$/10,$2'&/)+*=#$,"#$0,),#5$
$
! ! ! " # ! "# " "# $ $ "% $%
# # ! ! # ! & "# " "# $ $ "% $% ! "# " "# $ $ "% $% # ! "# ' "# "# $ #( "% "% $% # ! %)
#
!#
)
%
%
$
>#$ )&#$ .&##$ ,'$ <"''0#$ !$ ,'$ (#$ &#)+$ )2;$%'0*,*?#$ 0*2<#$ )2$ '?#&)++$ %")0#$*0$ 2',$ %"-0*<)+5$$
9#.'&#$ :#$ .*2;$ ,"#$ ,*/#$ ;#%#2;#2,$ 0,),#$ ?#<,'&$ :#$ /10,$ .*2;$ ,"#$ #2#&3*#0$ )2;$ #2#&3-$
#*3#20,),#0$0'$,"),$:#$<)2$:&*,#$,"#$*2*,*)+$0,),#$*2$,"#$#2#&3-$()0*05$
! " #$
! ! "! #
" # " &%
""! ' (
"!
!!
""! ' (
"!
" ""! ' ( #" ' "!" ! !
$
$
""! ' ( ! $"!
!( ! ""! $ "! ! "! !$!%"!
! "# ! "# "#
! '# $
! " # $ ! '# $
!
"
"! #
#
&
&
##
#" (# &%
" # " &% #" (# &%
"! # "' # " (# $ ! "#' #
$
"# ! "! $!!"! # "' # " (# $ ! "!' # !)!' # ! * (#
$
"# ! %"! $!!"! # "' # " (# $ ! %"!' # !)!' # ! " (#
!
"# !
#
"
#$
#
* $"
$!
#
"
! # $
#" *# &%
"" !
#
"
#$
" $"
$!
#
"
! # $
#" # &%
#
$
$
$
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
!"#$#%&'($')($&*&'&+,$-'+'($&*$')($(*(%./$0+-&-1$
! ! ! " # " !" !" ! ! ! "
"
! ! ! " # " !" !"
"
$
! !!" #
"
#
! !!" #
"
#
"
#
#$ $ #" $ % #& %&
!" #$ $ !" #" $ % !" #& %& $
!" #$ $ "& ' % "& %& $
! ! ! " # ' # " & !" $ # ' & !&
"
#
!& #$ $
!& #$ $ !& #" $ % !& #& %& $
"
#
"
&
$%
"
&
%
&
2&*3($ ')(-($ 0+-&-$ -'+'(-$ +%($ (*(%./$ (&.(*-'+'(-4$ #($ -&56,/$ 57,'&6,/$ 0/$ ')($ +66%"6%&+'($
6)+-($8+3'"%$'"$8&*9$')($'&5($(:",:(9$-'+'(1$
! ! ! " # " # " $ !" $ # % $ !$
$
! !" " #
#
"
#
"
#
# "#"$ !" " ! $ %#"$ !$ " ! % #
"
$
$ $
&
!
#
$
"$
!!
"
!
!
# " ! $ %#"$
"
$
$ !!
"
!
"
#
# "#"$ !! " ! $ %#"$
"
$ $
!
& !!
"
!
!$ % $
&
!$ %
&
!
2&*3($')(%($+%($'#"$(*(%./$(&.(*-'+'(-$&*$')($-'+'($:(3'"%4$')(%($+%($'#"$6"--&0,($(*(%.&(-$
')+'$3+*$0($5(+-7%(91 !! ! !" # !$ ! %!" ;$$<)($6%"0+0&,&'&(-$+%($
P!" ! !" ! " # #
$
$
P!" ! !"
!
"
#
$
!
!
"%
!$
#
!
# " ! $ %$"%
"
$
" #!
!" # !
$
P!! ! ! # " $
P&!!
'
$
"
#!
()
#!
# $
! !$
#
!
!! %
&
!
$
! !%!$
! !%)*
$
2&*3($')($(*(%./$-'+'(-$+%($-'+'&"*+%/$-'+'(-4$')&-$%(-7,'$&-$'&5($&*9(6(*9(*';$
0=$$!"#$8&*9$')($(>6(3'+'&"*$:+,7($"8$')($"6(%+'"%$!;$$?($)+:($'#"$5(')"9-$'"$9"$')&-4$
')($"6(%+'"%@5+'%&>$5(')"9$+*9$')($6%"0+0&,&'/$#(&.)'&*.$5(')"9;$$2&*3($#($9"*A'$)+:($
')($5+'%&>$8"%$!4$')($6%"0+0&,&'/$#(&.)'&*.$5(')"9$#&,,$0($7-(9;$
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
! ! ! " " # ! ! " " # ! " #$ P#$
$
P#$ ! #$ ! " " #
P#" !
"
#
%
!
#&
'$
"
!
!
P#! !
"
# !
%
#&
'$
"
!
"
P#! ! "$$
" $ %%
#&
! '$
"
!
#&
! '$
"
!
!
$
!
#
%
!
#&
!
$ # ' $ %%#&
"
%
'$
"
!
!
" $
! "$$
% #$ # "& '()
"
#
%
!
#&
!
'$
"
!
$#
%
"
!
$%
#&
! '$
"
!
!
!
" " #&'
$ #$ # "& '() " " # & $ #
%
'
"
# !
%
#&
'$
"
!
$
%
"
!
$%
#&
! '$
"
!
%
!
&
'
!
!
"
! "$$
$ #$ $ "& '()
%
" " #&'
! '$
!
" "#
! '$
!
"
$% &!!'%#
"
"# %
"$ ' &
%
!
! '$
!
! '$
!
!!" $% " ! !'% ! # &!!'%#
%
&
'
! '$
!
!
"#$%!&'()*+*'*+,-!*./!-/,/012!/,/0-3!)*1*/!)'4/045)+*+5,! ! ! ! " # # "# $"%&#!
#
!
&6.078+,-/0!/9'1*+5,!:50!1!*+;/<+,8/4/,8/,*!=1;+2*5,+1,!3+/28)!
!!
%
!
" " #&'
#! '! & !
'
! '$
"
!
" $
! "$$
% #$ $ "& '()
#" $ #! % " #! # #" #
$
'()
!
#$
'! &
'
! '$
"
!
#" '! & !
'
! '$
"
!
$ # # ' $ %%#&
!
"
%
"
! ! " #$ P#$ ! #" "$$
! !
"
$ # # ' $ %%#&
"
"
%
"
P#" ! "$$
#" $ %%
!
! #$
!
%
!
!!'% # !
%
'% ! ( " $% &!!'%#
'% ! " $% &!!'%#
!
!
!
&# !+,*5!*./!
'%
" '% # '%
!
%
'% ! " $% '% &!!'%#
!
'%
!
&5! *./! &6.078+,-/0! /9'1*+5,! +)! )1*+):+/8#! ! &'()*+*'*+,-! *./! -/,/012! /,/0-3! )*1*/!
)'4/045)+*+5,! ! ! ! " # # "# $"%&#! ! &# ! +,*5! *./! /,/0-3! /+-/,>12'/! /9'1*+5,!
#
!
! ! ! " ! !3+/28)!
%
! " "# $!%&#'
!
%
!
#
"" & $
#
#
!%&# ' !
&# ! & " "# $!%&#'
!
&#
&# ! & " "# $!%&#'
!
&#
#
!
#
!#
?./0/! +)! ,5! >12'/! 5:! !! *.1*! @+22! )1*+):3! *.+)! /9'1*+5,A! )5! *./! -/,/012! /,/0-3! )*1*/!
)'4/045)+*+5,!85/)!,5*!)1*+):3!*./!/,/0-3!/+-/,>12'/!/9'1*+5,#!
!
!
!
!
!
!
!"##"#$%
%
&'#!%
!"#$%$&'()*+',-$
!"#$%%&'(%%)*+%,-./+0,-'-1+%234+.+5,6723,-%+87'23,-0%&!"9:(%'/+%
!" !
!" !
!!!" ! " " # $
! # " " ##!!!!!!!!!!" # " " # $
! ! "" # %
"
"
!
%
;7<0232723-=%,-+%3-2,%2*+%,2*+/%=35+0%
# !"
!!
! ! "! # $ " ! ! "! # %
#
!
%
>32*%=+-+/'6%0,6723,-0%
! ! " ! # $ "#!$"!! " ! %##$"!! " #!!!!!!! # " ! # $ #"#!$"!! " ! %##$"!! " %
%
)*+%02'2+%5+12,/%0,6723,-0%?80"%&!"9@(%'-A%&!"9B(%C,/%'/<32/'/D%3-323'6%1,-A323,-0%'/+%
!
% !! ! ! " # "#$$"!! " $ %##$"!!
!
"
" $ $ ! #"#
$$"!! "
$ %##$"!!
"
"#
$ "#$$"!! " $ %##$"!! " '
%
"&
$$" ! "
#$" ! " )
% #"# ! $ %# ! (
! ! ! " # ! "#$$"!! " $ %##$"!! " " ##$" ! " $ $ ! #"#$$"!! " $ %##$"!! " " #$" ! " #
$ "#$$!"! #" "! " $ %##$!"! $" "! "
!&
&% #"#$$!"! $" "! " $ %##$!"! #" "! "
%
!
)*+%3-323'6%02'2+%5+12,/0%'/+%
'
)
)(
%
# !# " &
# !# " &
!! ! ! " " %
"!!!! ! ! ! " " %
%
(
"! # " '
"! # " ('
$
$
!
E,/% '% 0F3-.#G@% 0D02+4H% 2*+% =+-+/'6% 3-323'6% 02'2+% 30% 2*+% 0F3-% 7F% 02'2+% 3-% 2*+% A3/+123,-% !! %
A+C3-+A%<D%2*+%'-=6+0% ! %'-A% ! I%
%
$ "#$ "
%
! ! ! " # $ ! ! & ## "
&% " $&' %
!
%
'
)%
)(
)*30%=35+0%
!!
%
!
"
" #$%
!
"
#
" "## %&' !" (!!!!$ !
!
"
" #$%
!
"
#
$ "## %&' !" %
%&<(%%J%!.F760+%& ! !! ! " (%=35+0%2*+%02'2+%5+12,/0%
%
$ #$* "#$ +
$ "##$" ! # %##$" ! '
$ #" # % '
!
!
$ #$ &
$ #$ &
! !! " " &
)
#$ " !
#$ " ! )
+
&% %&" !
% "# % (
# %#
% #"#
(
!
!"##"#$%
$
"#$ +!
$*
" #$# & #$*
&% # %&" +!
'
$ %&" " #+
!
$*
) $ #$# & #$*
)(
&% # "#$ " !#+
%
'
) $ #$#$* #
)(
'
)
)(
%
& ,!" #+ '# * "
&'#(%
!"#$%$&'()*+',-$
!
$ $""# ! ! ! "# # % "
$ "#$""# ! ! " "%$""# ! ! '
& #"# ! !
$
""
! !! " ! &
)
#"# ! !
&% $
" "%$#"# ! ! (
! # # %"
% ""#$
!
$
%&" , !"+
""# ! ! "*
! ""$
$ & ""* #"# !
&% $
"#$ , !"+
'
) $ ""$""# ! ! $"* #
)(
'
$ $""# ! ! $"* "#$ +
!
) $ "" &
#"# ! !
+
&% $
)(
%&" !
'
)
)(
!
& --!, "+ '" * ## ! "
"#$!%&'()*+&,$-!.$/%+&! !! ! ! " !0(!%#$!&+%'%0(1!*&',$!0)!2*3044$-2!*&+,! ! ! !-$*0($-!56!%#$!
!
'(13$)! ! !'(-! ! !%+! ! !! !7,+-83+!'(!+.$&'33!4#')$9!-$*0($-!56!%#$!'(13$)! ! " # !'(-! !" :!!
"#0)!0)!/+()0)%$(%!;0%#!%#$!4&$/$))0+(!0(!%#$!&+%'%0(1!*&',$!)#+;(!5$3+;<!
!
!
=(!%#$!(+(&+%'%0(1!*&',$>!%#$!)%'%$! ! ! ! " !0)!*3044$-!*&+,!+($!!!#$,0)4#$&$!%+!%#$!+%#$&!
?8)%!')!%#$! !! ! ! " !)%'%$!-+$):!!@)!'!/+()$A8$(/$!%#$!)40(!84!'(-!-+;(!4&+5'5030%0$)!'&$!
!
*3044$-<!
!
P! " ! # $ ! ! " ! #
!
P" " ! # $ " ! " ! #
!
$ ""#""# ! ! #"$ "#$ %! $ "#$ ! %! $ P" " % #
!
$ ""#
!"# ! !
&'"
%
!
!
$ &'"
! %
!
$ P! " % #
!
B8%!%#$!*&',$!&+%'%0+(!/'8)$)!%#$!0(0%0'3!)%'%$!0(!%#$!(+(&+%'%0(1!*&',$! ! ! !-$*0($-!56!%#$!
'(13$)! ! ! '(-! ! ! %+! $.+3.$! %+! %#$! )%'%$! ! !!! ! 7,+-83+! '(! +.$&'33! 4#')$9! -$*0($-! 56! %#$!
'(13$)! ! " # !'(-! !" ! # ! :!!C$(/$>!%#$!4&+5'5030%0$)!+*!,$')8&$,$(%)!+*!%#$!"!'(-!#!)40(!
/+,4+($(%)!-$4$(-!+(!%#$!D'&,+&!4&$/$))0+(!*&$A8$(/6!7 ! ! ! ! 9:!
7/9!E+&!'(!0(0%0'3!)%'%$! ! >! ! ! !" #!!!!" ! !" >!'(-!'!!FGH483)$!7 ! !! ! " " 9!60$3-)!!
!
!"##"#$%
$ ! "##" # # ! "##" #
"
"
!! ! ! " " &
##
"
#
&% # !" "
# !" "##" #
!
%
'
)$
)(
!
"
$ ! '
&% ## )( $ # $ !
&'#(%
!"#$%$&'()*+',-$
!
% ! ""## ! " "##$ # # ! ""## ! " ""#$ #
"
"
! !! " ! '
### ! " ## $ #
!
'& " " "
"
# !" "### ! " ""#$ #
%
"## ! "
'
!"
'
&
!
"
!
"
""#$ "### !
( % ! ""## ! "
"
* $'
*) ' "# !" "### ! "
&
(
* $ ""## ! " # $ + $$ "$, $" $ "## !
!
"
*
)
(
*
*
)
!
!
"#$! %&'()*+&,$-! .$/%+&! !! ! ! " ! 0(! %#$! &+%'%0(1! *&',$! 0)! 2&+%'%$-2! 34! ! ! ! *&+,! ! ! %+!
!
! ! 5!!"#0)!0)!/+()0)%$(%!60%#!%#$!7&$/$))0+(!0(!%#$!&+%'%0(1!*&',$!)#+6(!3$8+65!
!
!
9:%! %#$! *&',$! &+%'%0+(! /':)$)! %#$! 0(0%0'8! )%'%$! 0(! %#$! (+(&+%'%0(1! *&',$! ! ! %+! 2&+%'%$2!
-+6(!%+!%#$!!"#!78'($!'(-!%#$(!&+%'%$!'&+:(-!%#$!$;'<0)!'%!*&$=:$(/4! ! 5!
>-?! @(! %#$! &+%'%0(1! *&',$A! %#$! )%'%$! .$/%+&! 0)! *0<$-A! 6#08$! 0(! %#$! +&010('8! *&',$! %#$! )%'%$!
.$/%+&!&+%'%$)!'%!%#$!7&$/$))0+(!*&$=:$(/45!
!
B5CD!!"#$!7&+3'3080%4!%#'%!'(!$8$/%&+(!($:%&0(+!/#'(1$)!%+!'!,:+(!($:%&0(+!0)!
P! ! "!!
!
!
#
$
% "%$ $ "$$ #$ & (
" !"# # !"# '
*!
'%!
&
)
$
$
"#$!7&+3'3080%4!+)/088'%$)!*&+,!E!%+!'!,'<0,:,!.'8:$!+*! !"# $ ! A!6#0/#!+//:&)!6#$(!%#$!
'&1:,$(%!+*!%#$!)$/+(-! !"# $ !%$&,!0)! ! ! 5!!"#:)!%#$!-0)%'(/$!0)!
!! "!
!! !
!
#" " #!! $ #
!
"
"
!%
"
&
F)0(1!!!! ! !" ! # " !$ !"# $ A!6$!1$%!
!
!
!"##"#$%
"
#
!! "!#
$!%&' ""!#%!&'($
!! !
!
! "'!# # "% & $ ! "!#!)$ !
"&
!
#
!
$ # "% !&'
$" " $! #
!
"
#
%
&'#(%
!"#$%$&'()*+',-$
!"#$%#$%&'(%")*+%&+%)'%&$,#**)-#&'.%$&%-"(%+/**%&$,#**)-#&'%*('0-"%#$%1%-#2($%-"#$3%%!"(%'/24(5%
&+%&$,#**)-#&'$%#$%-"('%
! ! " !#
"#$ " "%"" ,
! (#%& " "% $ %
$
!#&' " "% ,
! " (#)* " "% ( ,
!
! $"#&
!#&' " "% $ ,
! $%&!'()*+ !
%
! '()*+
%
6378%%!"(%95&4)4#*#-:%-")-%)'%(*(,-5&'%'(/-5#'&%#$%;(-(,-(;%#$%7%2#'/$%-"(%95&4)4#*#-:%-")-%)%
2/&'%'(/-5#'&%#$%;(-(,-(;<%
#
$
% "!% # "%% #$ & (
P! ! "! ! ! ! # P! ! "!" ! ! # "#$ % $ "#$ % '
*%
'%!
&
)
!
%
=&5%)'%8%>(?%(*(,-5&'%'(/-5#'&%)-%-"(%&5#0#'.%-"(%95&4)4#*#-:%)$%)%+/',-#&'%&+%;#$-)',(%#$%
$"&@'%4(*&@<%
P
1.0
0.8
0.6
0.4
0.2
0.0
1000
104
105
106
107
L(m)
%
%
=&5%)%4()2%@#-"%)%5)'0(%&+%('(50#($.%@(%2/$-%)A(5)0(%&A(5%-"(%#';(9(';('-%95&4)4#*#-#($%
%
P! ! "! ! ! 1
%*++!)
%&'(!)
"
#
+
% "!% # "%% #$ & ( .
-! # "#$ % $ "#$ % '
* 0 , " % # -% %
'%!
-,
&
) 0/
!
B$$/2#'0% )% /'#+&52% ('(50:% ;#$-5#4/-#&'% +5&2% C% >(?% -&% 8% >(?% 0#A($%
! ! " " # ! ! "!#$% " 3%%D'-(05)-#'0%#'%>)-"(2)-#,)%0#A($%-"(%9*&-<%
!"##"#$%
%
&'$(%
!"#$%$&'()*+',-$
P
1.0
0.8
0.6
0.4
0.2
!
0.0
1000
104
105
106
107
L (m)
!
"#$!%&'())*+(%,&!-*&#!%.+!-(+#!*!&/0$*1!(,!$,$023!(,!+#$!4$*56!
!
!"##"#$%
%
&'$#%
!"#$%$&'()*+'n-$
!"#$ $ %&'()*+,$ -.+$ /0-)&'$ &1$ /$ ()'23+45/,-)03+$ (-/-+$ &5+,/-&,$ !1" $ &'$ /$ -6&45/,-)03+$ (-/-+$
7+0-&,"$$8+-$-.+$-6&45/,-)03+$(-/-+$7+0-&,$./7+$(5)'$95$1&,$5/,-)03+$#$( ! 1 )$/'*$(5)'$*&6'$
1&,$5/,-)03+$<$( ! ! )"$$$=&,$/$5,&*90-$(-/-+>$6+$2+-$
$
!1" ! = !1" +
1
"
2
(
= !1" +
1
)"
2
&
# !
= % + + 1( "
'
$ 2
2
=+
!
+
2
1
"
2
=+
!
! $
2
=&,$/$(9?$(-/-+>$6+$2+-$
#
!!" ! ! !!" " ! " "
$
"
$ ! #!
!"
" ! " !!" "
"
$ ! #%$ " !" "
!
&
" !!" " " ( ! ### $
'
=&,$ /$ 5,&*90-$ (-/-+>$ -.+$ ,+(93-$ ?/@+($ (+'(+>$ 6.)3+$ 1&,$ -.+$ (9?$ (-/-+>$ -.+$ ,+(93-$ )($
/?A)29&9($A+0/9(+$)-$)($'&-$03+/,$.&6$ !!" $/0-($&'$ ! 2 >$)1$/-$/33"$
$
!"<$$(/)$B0-$&'$ ! $6)-.$ !!" $
#
!
S!z " ! " " !"!!S!z "
"
! !
" ! " " !"!! " ! "
!
""
S!z ! !
$
#
!
"
"
"
$!
! ## !&
%%" ( "
" $$ "'
!
# !&
" " !"!! % " ( "
$ "'
!
&
" "(
'
$)* !
$
C.+$,+(93-$)($'&-$5,&5&,-)&'/3$-&$ ! >$(&$ ! $)($'&-$/'$+)2+'(-/-+"$
(A)$$%.+0@$'&,?/3)D/-)&'$
#
$ #
$
!
!
" ! " " !"!! " ! " "
" ! " " !"!! " ! " "
"
"
!
!
" ! " " ! " ! " " !"!! " ! " " " ! " " !"!! " ! " " " ! " " !"!! " ! " " "
"
!
!
" " ! " " " !"!! " " ! " " " !"!! " " ! " " " !"!! " " ! " " "
"
!
! #!"!!"!!#"#!"!!#"#!"!!!"!$
"
!!
! ! !
#
$
!
#
$
!
"
"
$
$
E&$-.+$(-/-+$ ! $)($'&,?/3)D+*"$
$
!"F$$C.+$5,&A/A)3)-G$-./-$&A(+,7+,$!$?+/(9,+($5/,-)03+$#$-&$./7+$(5)'$95$/3&'2$/'$/,A)-,/,G$
*),+0-)&'$)($-.+$(9?$&1$-.+$H&)'-$5,&A/A)3)-)+($&1$&A(+,7+,$!$?+/(9,)'2$5/,-)03+$#$-&$./7+$
(5)'$95$/'*$&A(+,7+,$"$?+/(9,)'2$5/,-)03+$<$-&$./7+$(5)'$95$/'*$*&6'"$$E&$1),(-$0/3093/-+$
-.+$ 5,&A/A)3)-G$ -./-$ &A(+,7+,$ !$ ,+0&,*($ /$ I+I$ /3&'2$ -.+$ 2+'+,/3$ *),+0-)&'$ !! $ /'*$ -./-$
&A(+,7+,$"$,+0&,*($/$I+I$/3&'2$-.+$#4/K)("$$L+$2+-$
!"##"#$%
%
&'#%
!"#$%$&'()*+',-$
!
P! !"!
! ! "
#
"
#
%
! !% ! $ !
#$!!
#$!!
%
"
#
#$!!
! !% !
$ #
#
!
%
! ! # ! % ! " % !#$!! ! " # !! % ! !
#
#
#%
(
" ' &'( !# ! ! ""#$ ()* !# " * "
)
%
%
%&
%
%
%
"
#
#
" %" "
"
#
%
#
!
!"
#$!!
$
%
%
%
!
#
# %#
()*
%
%
"#$!%&'%('&)*!)+*!,-#.&./'/)0!)+&)!#.1*-2*-!!!-*%#-31!&!454!&'#67!)+*!7*6*-&'!3/-*%)/#6! !! !
&63!)+&)!#.1*-2*-!"!-*%#-31!&!484!&'#67!)+*!#8&9/1:!!;*!7*)!
P! !"!
! ! "
#
#$!!
!
#
"
%
! !% ! $ "
%
"
#
#$!!
! !% !
$ #
#
!
%
#
#
(
%
!#$
'& &'( !# ! ! " ()* !# ! *) !
%
%
%
#
#
! % !! !
#
!
%
$
%
!
#
#
" &'( %
%
%
"#$!1(<!)+*!)$#!,-#.&./'/)/*1=!
P! !!
! " P! !,!
! " ! P! !,!
! " "
!
" 1
1 2" 1
sin ! cos 2 " !
2 2
2 2
2
!
>:>!!?&'%('&)*!)+*!,-#.&./'/)0!)+&)!#.1*-2*-!!!-*%#-31!&!454!&'#67!)+*!3/-*%)/#6! !! !#-/*6)*3!
&)!&67'*1! ! ! " !&63!)+&)!#.1*-2*-!"!-*%#-31!&!484!&'#67!)+*!1&<*!3/-*%)/#6:!!@#-!1)&)*! ! ! A!
$*!7*)!
P! !"!
! !! =
(
#$!!
#
=
%
! ! %$!! ! ) " !
%
=
(
#$!!
! ! %$!! ! )
(
#
!
%
#
! % !! !
#
!
%
)
%
#
#
#
(% #
(
%
!i$
!i$
'& &'( !# ! !!!" (in !# ! *) '& (in ! % ! !!!" &'( ! % ! *) !
%
%
%
%
(
#
! % !! !
#
!
%
)
%
#
#
#
#( #
#
#%
= !"!i$ &'( % ! "!i$ (in %
= ' &'( % ! (in % * =
%
%
%
%) %
%
%&
%
!
S/</'&-'0A! #6*! 7*)1! P! !"!
! !! " P! !""
! !! ! # A! /63/%&)/67! ,*-C*%)!
! !! " 1 2 A! 1(%+! )+&)! P!"#$ ! P" !"!
&6)/%#--*'&)/#6:!!@#-!1)&)*! ! ! A!$*!7*)!
!"##"#$
&'$
!"#$4$&o()*+o,s$
P! !"!
! !! "
#
! ! %$!! ! $ " !
#$!!
%
"
#
! ! %$!! !
#$!!
$
#
#
!
%
#"
!
%"
!! !
#"
!
%"
$
%
#
#
#
(% #
(
%
!i$
!i$
'& &'( !# ! !!!e ()* !# ! *) '& ()* ! % ! !!!e &'( ! % ! *)
%
%
%
%
#
"
%+ #
#
#
#
! #! ! #
! %! ! % !
! #! ! #
! %! !
,
%
%
%
- %
#
$ #
$
#
$ #
#
#
#
(% #
(
%
!i$
!i$
# '& &'( % !# ! !!!e ()* % !# ! *) '& ()* % ! % ! !!!e &'( % ! % ! *)
"
%
! ! # ! % !!! ! # ! %
#
%
%
$./0
%
$
#
#
#
#( #
#
#%
" e!i$ &'( % ! e!i$ ()* %
" ' &'( % ! ()* % * "
&
%
%
%
%) %
+
%
%
"#$#%&'%() *+, -,./ P! !"!
! n! + P! n"+
! n! = # ) &-&#+ #+3#1&.#+! !! " # $ ) /012 .2&. P!"#$ = P+ n"!
4,'5,1. &+.#1*'',%&.#*+6
768 9&%10%&., .2, 4'*:&:#%#.( .2&. *:/,';,' ! ',1*'3/ & <=< &%*+- .2, 3#',1.#*+ !! 1
*'#,+.,3 &. &+ &+-%, !! >#.2 ',/4,1. .* .2, "?&@#/ &+3 .2&. *:/,';,' # ',1*'3/ & <=< &%*+.2, 3#',1.#*+ !! " *'#,+.,3 &. &+ &+-%, ! ! >#.2 ',/4,1. .* .2, "?&@#/6 A,. ! ! ! #+ :*.2
1&/,/6 B, -,.
P+ !! " #+ !! $ =
#
"%!! "
"
=
$
$
+ ! $%!! $ + !
$
=
#
"%!! "
+ ! $%!! $ +
$ #
"
+
$
"
" $ "! "
"
+
$
#"
#"
#$
#$
'$
'
$
&% &'( !" + !+!(i* !" " )( &% &'( ! $ + !+!(i* ! $ " )( +
$
$
$
$
#
$
$
" $ "! "
"
"
+
$
$
$
#
#
#
#
"
"
$# "# '
&'( " (i* $ " (i* " &'( $ = (i* $ & " $ )
% $ (
$
$
$
$
$
$
$
=
C*> 1&%10%&., .2, 4'*:&:#%#.( .2&. *:/,';,' ! ',1*'3/ & <=< &%*+- .2, 3#',1.#*+ !! "
*'#,+.,3 &. &+ &+-%, !! >#.2 ',/4,1. .* .2, "?&@#/ &+3 .2&. *:/,';,' # ',1*'3/ & <?< &%*+.2, 3#',1.#*+ !! 2 *'#,+.,3 &. &+ &+-%, ! ! >#.2 ',/4,1. .* .2, "?&@#/6 A,. ! ! 0 #+ :*.2
1&/,/6 B, -,.
P! n! " #! n! $ "
#
"%n! "
"
"
$
$
! ! $%n! $ ! "
$
"
#
"%n! "
! ! $%n! $ !
$ #
"
!
$
"
! $ !! !
"
!
$
#"
#"
#$
' $ #$
'
$
&% &'( !" ! !!!()* !" ! )( &% ()* ! $ ! !!!&'( ! $ ! )( !
$
$
$
$
#
$
"
$
! $ !! !
"
!
$
$
$
#
#
#
#
"
"
$# !# '
" ! &'( " &'( $ ! ()* " ()* $ " &'( $ & " $ )
% $ (
$
$
$
$
$
$
$
!"11"12%
%
&'(%
!"#$%$&'()*+',-$
!"#"$%&$'( *+ ,+P! !! " #! !! 2 =
(
"%!! "
"
=
2
)
! ! 2%!! 2 ! "
2
=
(
"%!! "
! ! 2%!! 2 !
) (
"
+
2
"
! 2 !! !
"
+
2
#"
#2
' $ #2
'
$ #"
&% &'( !" + !!!)*& !" ! )( &% &'( ! 2 + !!!)*& ! 2 ! )( +
2
2
2
2
(
)
"
2
! 2 !! !
"
+
2
)
2
$
$
#
#
#
#
"
"
$# !# '
= ! &'( " )*& 2 + )*& " &'( 2 = &'( 2 & " 2 )
% 2 (
2
2
2
2
2
2
2
%./
P! !! " #! !! $ "
#
"%!! "
"
"
$
$
! ! $%!! $ ! "
$
"
#
"%!! "
! ! $%!! $ !
$ #
"
!
$
"
! $ !! !
"
!
$
#"
#$
#$
'$
'
$ #"
&% &'( !" ! !!!)*& !" ! )( &% )*& ! $ ! !!!&'( ! $ ! )( !
$
$
$
$
#
$
"
$
! $ !! !
"
!
$
#
#
#
#
"
"
$# !# '
" &'( " &'( $ ! )*& " )*& $ " )*& $ & " $ )
% $ (
$
$
$
$
$
$
$
0+.1+ -2+ 3&45%5"$"-' 64& 7%#+ &+78$-7 "7
#" !" &
P!"#$ ! P" !! " #" !! $ " P! !! " #! !! $ ! %&' $ % " $ (
$ $ '
%./ -2+ 3&45%5"$"-' 64& 43347"-+ &+78$-7 "7
#" !" &
P!"#$ ! P" n! " #! n! $ " P! n! " #" n! $ ! %&' $ % " $ (
$ $ '
94* 87+ -2+7+ &+78$-7 -4 1%$18$%-+ -2+ %:+&%,+ 3&45%5"$"-' -2%- -2+ &+78$-7 %&+ -2+ 7%#+
%./ -2+ 3&45%5"$"-' -2%- -2+ &+78$-7 %&+ 43347"-+( 14.7"/+&"., %$$ 3477"5$+ #+%78&+#+.-7;
<2+&+ %&+ = /"66+&+.- 14#5".%-"4.7 46 #+%78&+#+.- /"&+1-"4.7 64& -2+ 3%"& 46 457+&:+&7;
! #! #! D %./ @E>? ". EAB 46 -2+
<2+ %.,$+ !! " ! " "7 >? ". @AB 46 -2+ #+%78&+#+.-7 C !!" "! ""
! !c! " "! !" "! c! " c! !" c! "! D( 74 -2+ %:+&%,+ 3&45%5"$"-"+7 %&+
#+%78&+#+.-7 C !""
'" &
!&'" !
!
& " !
! #i% & + ! #i% &
= !' + ! =
& "
&
"
"
" ( &
'" &
!&'" !
!
& ! !
= ! )o# & + ! )o# &
= !! + ! =
& "
&
"
"
" ( &
P!"#$ =
P%&&
<2+7+ 3&+/"1-"4.7 46 F8%.-8# #+12%."17 %&+ ".14.7"7-+.- *"-2 -2+ ".+F8%$"-"+7 /+&":+/
6&4# 2"//+. :%&"%5$+ -2+4&"+7; <2+7+ 3&45%5"$"-"+7 2%:+ 5++. +G3+&"#+.-%$$' #+%78&+/ -4
-+7- *2+-2+& $41%$ 2"//+. :%&"%5$+ -2+4&"+7 %&+ 3477"5$+; <2+ &+78$-7 %,&++ *"-2 F8%.-8#
#+12%."17 %./ 2+.1+ +G1$8/+ -2+ 3477"5"$"-' 46 $41%$ 2"//+. :%&"%5$+ -2+4&"+7;
!"##"#$%
%
&'&%
!"#$5$&'()*+',-$
!"#$$%&'$()**+,-,.)/$)0'1-,)1$.2$3'4./'3$56$.,2$-(,.)/$)/$-$2,-,'$7'(,)1$ ! $-28$$
! !"! "! " !
$
# !!"! ! " "! !! ! $
9/$ :-7'$ 4+/(,.)/$ ;-/<+-<'$ =,&'$ 0)2.,.)/$ 1'01'2'/,-,.)/>?$ :'$ '@01'22$ 0)2.,.)/$ -2$ -$
*+;,.0;.(-,.7'$4-(,)1?$ !!! ! ! $ $-/3$*)*'/,+*$-2$-$ 3'1.7-,.7'$)0'1-,)1$ !! ! !"" # #$ ?$ -/3$
,&'$2,-,'$7'(,)1$.2$1'01'2'/,'3$56$!! ! ! ! ! " "$$%&'/$,&'$()**+,-,)1$5'()*'2$
$
! !"! "! " !
$&
$&
#
#
! ! % "#" ( ! # ! $ " % "#" ( !! # ! $
$
$
$! '
$! '
! !"! "! " !
! "#"!
!
%&'$2'()/3$,'1*$1'A+.1'2$,&'$(&-./$1+;'?$6.';3./<$
$
$! # ! $
$! # ! $
% #"!
% #"! # ! $ $
$!
$!
! #"! # ! $
%&.2$.2$7'16$(;'-1;6$/)/BC'1)?$-/3$,';;2$+2$,&-,$,&'$0)2.,.)/$-/3$*)*'/,+*$)0'1-,)12$3)$
/),$()**+,'"$
$
$
!"D$ ->$ 9/.,.-;$ 2,-,'$ 7'(,)1$ .2$ ! " t ! ! # ! " " E" " E# $ i E$ # $ :&'1'$ !" $ -1'$ '/'1<6$
'.<'/2,-,'2"$$%)$/)1*-;.C'?$:'$1'A+.1'$$
1 = ! ! = !" " "1 " "2 " # "3 # ! " "1 " "2 $ # "3
= !" ! " "1 "1 $ "2 "2 $ "3 "3
$
=3!
#
#
$
2
"
#
%&'1'4)1'8$ ! ! ! " -/3$ ! " ! ! ! # ! " # " "" " "2 $ # "# # $
$
=5>$$%&'$)/;6$0)22.5;'$)+,()*'$)4$-/$'/'1<6$*'-2+1'*'/,$.2$-/$'/'1<6$'.<'/7-;+'$
!" !
$
"2!2!2
"!!!" ! 1$ 2$ 3&&&$
2#$2
%&'$01)5-5.;.,6$)4$*'-2+1./<$-/$'/'1<6$'.<'/7-;+'$.2$
PEn ! En ! " ! #
$
"
$
C;'-1;6$-;;$01)5-5.;.,.'2$4)1$*'-2+1./<$'.<'/2,-,'2$),&'1$,&-/$#?D?$-/3$F$-1'$C'1)"$$G&-,$
1'*-./2$,&'/$.28$
$
P!1 = !1 ! ( " )
(
= 1
3
2
)( !
1
(
= !1 1
3
)( !
1
" !2 + " ! 3
!1 " !1 !2 + " !1 !3
)
2
(
= 1
)
2
)
2
3 (1 " " + "" ) =
$
1
3
-/3$;.H':.2'$
!"##"#$%
%
&'#%
!"#$%$&'()*+',-$
!
P!2 = !2 ! " 0 #
2
P!$ = !$ ! " 0 #
2
" $ #" !
"1 $ #" !
= !2 1
= !$
1
1
" !2 + " ! $
#
2
=
1
$
" !2 + " ! $
#
2
=
1
$
!
"#$!!%&'!()'*(+'!)(,-'!./!0&'!'n'*+2!34!
!
!
!
! ! " P!" !" ! " !" # " " #
"!1
#
"!1
"#
!
$#!#
1 # $#!#
$#!# #
!
"
!
1 $ # # $ $#
"
#
#
#
##$
##$
%#$
"!1 $
"
&$ # ! # 1'
!
! !1
$#$#
$
#
!
!
"5$!!643n+!0&'!7#&*853n+'*!*'#39':!0&'!03;'<').,)'5!40(0'!34!
!
! " "! "
# !! " " ! "
! !! " # !
"#$!! !
$! " ""#$#!
"## # !! # %&#
!
$# $ #""#$"!
$! " ""# $ # !!
#
# %&#
!
$"
"
$# $ #""# %# !!
#
# %&#
"
$"
!
!
"'$! ! =0! 03;'! ! = ! "! :! 0&'! 9.443>,'! .-0#.;'4! ./! (! ;'(4-*';'n0! ./! 0&'! 'n'*+2! (*'! 0&'!
'n'*+2!'3+'n)(,-'4?!!%&'!9*.>(>3,303'4!(*'!
!
" # #" #
! "! # # " #
! "! # # " #
P!! = !! ! " " #
"
= !! !
P!" = !" ! " " #
"
=
P!# = !# ! " " #
"
=
"$
!! " #"$$ !" + $#"%$ !#
"$
!! " #"$$ !" + $#"%$ !#
"$
!! " #"$$ !" + $#"%$ !#
"
#
#
#
#
"
=
!
#
"
= !# !
"
=
!
#
@&3#&!(*'!3n5'9'n5'n0!./!03;':!(4!'A9'#0'5?!
!
B?C!!=44-;'!0&'!4.,-03.n!!
! ! ! " " # #$%&" $ '$"%&" !
!
%&'!>.-n5(*2!#.n5303.n4!23',5!
!
! ! ! ! " "!!!" # # $ !!!!"!!!# $ #"
! ! ! $ " "!!!"%&'$ # #%#&'$ $ !!!!"!!!" ! %&'$ # %#&'$ " $ #&"$%& '$ $ !
!
D'n#'!@()'!)'#0.*4!0&(0!4(034/2!0&'!'E-(03.n!(*'!
!
!" ! #!
!
!
!# ! # !!!# ! "# $# %#&&&
"
F-40!(4!>'/.*'?!!%&'!(,,.@'5!'n'*+3'4!(*'!0&-4!
!
!"##"#$%
! ! #"! " ! ! ! ! !
!" !
!
"!!!" ! #$ !$ %&&& !
!$
!$%!
!
%
&'$%
!"#$%$&o()*+on-$
!"#$%&&'(#)$#i+#,-.%.#-$%/#$
! ! ! " " # #$%!" " & # #$#%!" " & # !#% "i$
$
!" "
$
&
("i0"$%1.#/$,'/2%&i3%.i',$%/#$
! ! !"" !
$
#
!""
$%&
'!!!!!! ! ! (' #' )'*** $
#
#
$
456$$7--82#$."#$/#%&$-'&8.i',-$
! ! ! x " # #!"# kx $ % $%! kx $
$
!"#$9'8,)%/:$0',)i.i',-$:i#&)$
! ! ! "" " :!!!"#sin $" # % cos $" $ '!!!#!!!% cos $" $ #sin $"
$
! ! ! " " :!!!#sin $" # % cos $" $ '!!!#!!!(#sin $" $ '!!o'!!(% cos $" $ '
$
!"i-$:i#&)-$.('$;8%,.i3%.i',$#;8%.i',-<$
!"# !a = $!!!!!!!!a = #"
$
%&! !a = $!!!!!!!!a = ( ## + '( ) "
$
%,)$;8%,.i3#)$#,#/+i#-<$
#
"!!!!!
%
"!!!" ! #$ !$ %&&&
! ! #"! %
!$% !
!" !
!$
$
!$ % # "" " #! $! ! ! ! !
"!!! "" ! '$#$ !&&&
%
!$% !
&
!
$
=#,0#$."#$#,#/+i#-$%/#$
$
! ! # ! # ! ! # ! # % ! # ! # & ! # ! # #' ! # ! #
!" !
$!!
$!!
$!!!
$!!
$!!"
# #$ # " #$ #
" #$ # # #$ # " #$ #
$
!#!#
!#!#
!#!#
!#!#
!#!#
#
#
#
#
#
!!
# $!!#
# $!!(
# $!!!&
# $!!'
# $!!!"
##
#$
##
#$
##
#$
##
#$
##
#$
"
#
"
#
"
#
"
#
"
#
!
("i0"$%/#$."#$-%2#$%-$."#$>?@A$(#&&B$CD!$(i."$."#$18&&$(i)."$,'($E!5$$!"#$;8%,.i3%.i',$
0',)i.i',$ !"# !" ! $ $ /#;8i/#-$ ."%.$ ! ! 0 B$ -'$ ."#$ -'&8.i',-$ %/#$ -i,#$ 18,0.i',-B$ ("#/#%-$
!"# !" ! $ $/#;8i/#-$."%.$ ! ! ! B$-'$."#$-'&8.i',-$%/#$0'-i,#$18,0.i',-5$$!"#$,'/2%&i3%.i',$
/#;8i/#2#,.$1'/$."#$-i,#$18,0.i',-$i-$$
$
1 ! ! ! ! $ " ! ""# #" ! $ %%&' ( !%"
$ ) #" ! %
$
#$
2
$
2
#$
2
$
$
#$
%&' 2 ( !%"
$ ) #" ! % $ $
2
!"#$0'-i,#$18,0.i',-$:i#&)$."#$-%2#$,'/2%&i3%.i',B$-'$."#$,'/2%&i3#)$#i+#,-.%.#-$%/#$
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
$
&
&
! ! !"" ! %
&
&
'
!
#
!""
$%&
a
a
! ! #' (' 3'***
!
#
# !# " #( $ "" !# ! -'#' ('***
+,$
a
a
"#$%$!&''(!)#$!%a+$!,-%,.$!)#$!/$&&!a%!)#$!0123!4a%$5!67)!/$!-$$.!6')#!87-4),'-%!,-!)#,%!
4a%$9!
!
:9:!!"#$!$;<$4)a),'-!=a&7$!'8!)#$!<'%,),'-!8'>!a!<a>),4&$!,-!a-?!$-$>@?!$,@$-%)a)$!%)a)$!'8!
a-!,-8,-,)$!%A7a>$!<')$-),a&!$-$>@?!/$&&!,%!
#
#
"#
"#
! ! "# ! "# ! $ ! #! " ! # !! # " ! # $! ! $ ! ! # " ! # $!
!
!
"
%
!
"
%
%
! #$% " " #%!
% # $! !
$
" #
&
% "
#%
" #%% #" $&
#%
"
%
"
&#$% " " & # $& !
& #"'% " " #% #$%'" "#% # " ()#"*"#% # $ +* ( !
'
)
"
%
"
%
" #%% #" &' &' " & #$%' " & " ()#*" & ()&
#%
"
" #%% #" &' # '%
" "
() !
!
%
"
a%!$;<$4)$.9!!"'!8,-.!)#$!7-4$>)a,-)?5!/$!8,>%)!-$$.!)#$!$;<$4)a),'-!=a&7$!'8!)#$!%A7a>$!'8!
)#$!<'%,),'-B!
#
! ! ! "# ! ! "# ! $ ! ! ! # " ! # $! !
!
!
%
"#
!
!
!
%
" # $%
!
!
%
" #%% #& &' # '%
#%
% &
#%
& ! sin ! " & # $& !
& &
#% *os" !#% #
,
"
!
%
" #
% &
#%
$
%
%
! sin ! " #%!
% # $!
!
& && " " ! & "1# sin ! & "
'
)
('
#%
& *os ! &
,
) !
+* %
) ! %! & 1& " 1! ! )
!# % *
'
*
"#$!7-4$>)a,-)?!'8!)#$!<'%,),'-!,%!
!2 " !
!! =
!
2
= "2
"
1
#
#
" 2#12# 2 " " "2 # = "
2
1
12
" 2#12# 2 !
"#$!$;<$4)a),'-!=a&7$!'8!)#$!+'+$-)7+!,%!
p ! "n p "n ! $ ! n! " x # " "i! dxd #! n " x # dx !
#
"#
!
"
L
$
L
&
n%x
d
#$% " n%x
L # " "i! dx # #$% " L # dx
" n%x
n%
n%x
)
! "i! L" $ #$% " n%x
L # " L # '(# " L # dx ! "i! L &
'#$% " L # () & ! &
L
L
!
&
"#$!$;<$4)a),'-!=a&7$!'8!)#$!%A7a>$!'8!)#$!+'+$-)7+!,%B!
! 2 ! "# ! 2 "# ! $ ! #" " $ # " "%! &$& # ! # " $ # &$ ! " '2 ! 2 $ #$% " #%$
' #
#
'
2
"#
!
!
! '2 ! 2 " #%' #
2
$
'
0
0
2 2 #%
#$% 2 " #%$
' # &$ ! ' ! " ' #
2 '
2
! " #%!
' #
2
" # #$% " # &$
&2
&$ 2
#%$
'
!
"#$!7-4$>)a,-)?!'8!)#$!+'+$-)7+!,%!
!
!"11"1$%
!! !
!
!2 " !
2
!
%
" "#!# #2 " " ! " "#!# # !
&'(%
!"#$%$&'()*i',-$
5"#$$%&$'()'*)(+,$+-,$./&0(01)1+2$&3$3145146$+-,$.(/+1'),$14$+-,$14+,/7(),$*9,$:;"$<5"2>?"$$@&/$
(4$,4,/62$,16,49+(+,,$+-,$/,9*)+$19$
$
P!! "!"!! " "
"
#
!
!
! # " $ #" " "
!
#
!! "
# $ %&
!
$#
y
#
$
$%& # y
"
#
!
!! "
$#
'(
"
!$# "
#
!
#
$%& # $#"
! $ #" "
#
!
$#
#
!
# $#! $ "!$# " $%& # y #y
$#
$ %& $## $ $%& "#$# $ !$#' % $%&#!$#" #$ '( "
(
"
#( %
#
$#
$%& # !$# # $$
$
@&/$+-,$31/9+$+-/,,$9+(+,9,$+-,$/,9*)+9$(/,$
P!! "!"!! "
$
#
"
## ! "$ $%!! #" %!! #" ## % !"$ $ # &'&(%!&'$)%!&'!& $
$
5"A$ $ %-,$ 141+1()$ 9+(+,$ 7,'+&/$ 19$ ! " ! ! ! # ! " "" " #i "#
/,'1.,,$+-,$+1E,$,7&)7,5$9+(+,$19$
! (! ) =
!
$
!
"
("
"i$!! !
$! " #i""i$#!
!
$#
)=
!
"
""i$!!
#
!
$ "$ $ B9146$ +-,$ C'-/D5146,/$
($
!
)
" #i""i# #!! $# $
F1+-$+-,$G&-/$3/,;*,4'2$
! !" !
$
#" ! !
$
!!"!
%-,$,H.,'+(+1&4$7()*,$&3$+-,$.&91+1&4$19$
! !" " # ! !" " ! ! !" " #
$
#
!
"
!% !%
! ! $ #$#
!
!
!
"
#$$%!"
!
!%
!
"
$ #$#$$" #!" %# !
!
"
##$%!"
!
!%
!
# #$##$" #!" %#
$ #$#$$" #!" %# ! %! # #$##$" #!" %! ! %# $ $ %# ! %#
$$" #!"
# !" !!
!#! # #$##$" #!" !!# $ $!##
!
F-,/,$+-,$E(+/1H$,),E,4+9$(/,$5,314,5$(9$
$
!
"
"
"
$
! $" ! $# ! " ! "! " ! #!!!! # " ! # %!! $
&
"#
"
%-,$51(6&4()$E(+/1H$,),E,4+9$(/,$
$
!
""
! " ! "! " ! #!!!! " " ! # #!! ! " ! ! " " ! # #!! !
$
$
"
"
#
$
$
#
(9$3&*45$14$I/&0),E$5"5"$$%-,$&33J51(6&4()$E(+/1H$,),E,4+9$(/,$
!"##"#$
&'&
!". % &'()*+',-
x
!
! $" x $# ! " ! "! " x #!x!! # " x # %x! !
&
"#
"
# $ &'
! & )
& % #(
#
' $ &'
! & )
& % #(
#
"
#
"
# & "# x
## x
sin
x sin
%x!
"
&
&
& "
# $ &'
ysin " "y # sin " #y # %y! ! & )
& % #(
#
"
#
y '# +, (os " " * # # y * (os " " $ # # y -. %y!
"
#
+ (os " " * # # y ysin " " * # # y (os " " $ # # y ysin " " $ # # y $
*
*
/
#
"" * # #
" " $ # # 00."
" " $ # ##
/, " " * # #
!
#
' $ & ' + (os " " * # # # (os " " $ # # #
'
' ! & ) /
*
*
$
0
& % # ( /, " " * # ##
" " $ # ##
" " * # ## " " $ # ## 0.
!
**&"#
& + '
' "$#
+
-!
# *
# 0 ,' * " *'#
# /
.
# /, " " $ # # " " * # # 0.
## "# * # #
"
#
#
+' * " *'#"$# ,
.
"en%e&!
!11 = !22 =
!
"
1$"
#!!!!!12 = !21 = ! 2 !
2
%"
'(!)*e!e+,e%)-)i(n!/-01e!(2!)*e!,(3i)i(n!i3!
! (" ) =
!
!
"
(
#
#
! #$%+$" #!"
!$ #
%# #
+ #$%!$" #!"
!$ #
%# #
) (
+ & ## = #
!
#
)
+ &"$&# # 'i) " #!" !
!
456! ! 7*e! ini)i-0! 8-/e! 21n%)i(n! i3! ! " !!t ! " ) ! #! " $ " ! ) 5! ! 7(! 2in9! )*e! )i:e! e/(01)i(n!
13in;!)*e!'%*<=9in;e<!<e%i,e&!8e!:13)!2i<3)!n(<:-0i>e!)*e!3)-)e&!-n9!)*en!8<i)e!i)!in!)e<:3!
(2!)*e!ene<;?!ei;en3)-)e35!!7*e!n(<:-0i>-)i(n!<e@1i<e:en)!i3!!
1 = ! ! = " ! "!# "! = " $! ( # # ! ) "! = $
#
!
= $
2
(
#
2
%
%
1
3
2
! 3 #2 # 12 #! 4 + 15 ! 5
)
#
%
= $
2
(
1
3
2
" (! #
#
2
2
#5 # 12 #5 + 15 #5 =
1
3%
%
)
)
# 2#! 3 + ! 4 "!
#5 $
"
2
!
#
"en%e! )*e! n(<:-0i>e9! 8-/e! 21n%)i(n! i3! ! " !!" ! " # ! #"! " # " ! # #2 # 5! ! A(8! 8e!
8<i)e! )*e! 8-/e! 21n%)i(n! in! )*e! ene<;?! B-3i3! 13in;! )*e! ,<(Ce%)i(n3! (n! )*e! ene<;?!
ei;en3)-)e3D!
#
! ! !! " " # $ "#" # ! ! "
###
!
"# # $# ! ! " " # % " #$ ! ! "! ! !! " " %! # %
#
&
&
"
"
%
' #&! *
'! ! & - ! " %! !
&i( )
( & ,+
&
- #*
) #*
.# - ! -#"# 0,,,# + + .!! (!!)%%
+ + /
1
#&
(&
7*e!8-/e!21n%)i(n!*-3!e/en!,-<i)?!8i)*!<e3,e%)!)(!)*e!8e00!%en)e<&!8*i%*!i3!8*?!(n0?!(99!
n1:Be<e9!Ee/en!,-<i)?F!3)-)e3!%(n)<iB1)e5!!7*e!)i:eGe/(0/e9!3)-)e!i3!
!"##"#$%
%
&'!%
!"#$%$&'()*+',-$
$
# "$
! ! !!" " = % #$ %"&'$" !# $ ! ! " =
&%
$="
!
"#$!%&'(!)*+!+x-+.)/)&#'!0/12+!#%!)*+!-#3&)&#'4!
!
!
$ "
! ! t " # ! ! t " ! ! ! t " # & # c$! e$&'$ t
% $#"
#
"
#c
$& ! '$ *'n "t !
!
$ n
ce
&
(
!
$
%
) !! *++
" "&' ) " ! ' )&! *
%
'() )
!
( ( ,+
)%
' $ "
'$ ) ! & # cn e*&'nt
( % n#"
!
'
'n )
(
!
' $ ! 'n
$#n#"
5*+!#%%6(&/7#'/1!8/)9&x!+1+8+')3!#%!)*+!-#3&)&#'!/9+!:+9#!%#9!3)/)+3!$&)*!)*+!3/8+!-/9&);!
<3++! =9#>1+8! ?@ABC! $*&.*! $+! */0+! *+9+@! ! D#! #'1;! )*+! (&/7#'/1! +1+8+')3! #%! )*+! 328!
3290&0+@!!5*+!(&/7#'/1!+1+8+')3!/9+!/11!+E2/1!)#!!FG!<3++!=9#>1+8!?@?BC!3#!$+!7+)!
!
! ! " " # " #$!#$ %$ ! %$ #
!
$#"
& !
&
#
#$ # !
"
# $#"
#
D#!)*+!+x-+.)/)&#'!0/12+!#%!)*+!-#3&)&#'!&3!)&8+!&'(+-+'(+')@!
!
?@H!!5*+!&'&)&/1!$/0+!%2'.)&#'!&3!
)" ! % 3 3 " ! % 2 1 " ! % ,
! ( !! 0 ) = " +$ ' ( $ ' + $ ' . !
2# #&
2# #&*# # &
!
$*&.*!1##I3!3&8&1/9!)#!)*+! ! ! ! !3)/)+!<(/3*+(B4!
yHxL
Lê2
L
x
!
!
</B!5#!%&'(!)*+!)&8+!+0#12)&#'!23&'7!)*+!D.*9J(&'7+9!9+.&-+C!$+!823)!%&93)!'#98/1&:+!)*+!
3)/)+C!/'(!)*+'!$9&)+!&)!&'!)+983!#%!)*+!+'+97;!+&7+'3)/)+3@!!5*+!'#98/1&:/)&#'!9+E2&9+8+')!
&3!!
#
1 = ! ! = " ! "x, 0% "x
2
0
!
!
*# x & ' ' # x & 2 1 # x & 2 #
,%$ (' ) %$ (' + %$ (' / "x = $
(40
2 #
2 # .
+ #
2
= $
2
"
#
0
K+'.+!)*+!'#98/1&:+(!$/0+!%2'.)&#'!&3!
!"##"#$
&'(
!"#$%$&'()*+',-$
#$"
"
! ! !! " " #
!!
)" ! % % % " ! % 2 1 " ! % ,
+$# '& ( $# '& $ $# '& . "!
2 "
2 " * "
#$%!&'()$(*!+,'!$-'(./&!01+'2(/.!+$!)013!+,'!'4&/150$1!6$'))060'1+57!
$
!" ! #" ! ! % " "! " x #! " x" # # %x
#$
!%
*
$
$
*' x *
+' x*0
' "& x * ()# -' x *
%&' )
# ) , $ ) , 2 %x
/
,
,
)
( & + & .( & +
&
$( &+
$( &+1
&
#
!
$) +#,
+$ +#,
-+ $ " #+#" 0-!
.!! '!!()("
* *
.
1
"&
' *& *
8,'!)0(5+!)'%!6$'))060'1+5!/('!
!! = "#!!!$ = "%&&!#!!!' = "#!!!( = "%!$( !
!
5$!+,'!5+/+'!*$5+.9!6$*&(05'5!+,'!)0(5+!'460+'3!5+/+':!/5!'4&'6+'3"!8,'!+0*';'-$.-'3!5+/+'!05!
$
! ! !!t " # % cn e"i'nt !# n ! ! " #
!
n#"
# "$
&%
&
(
$
%
) !! odd
" "i' ) t ! ' )&! *
e
'() )
!
( ( ,+
)%
<=>! 8,'! &($=/=0.0+0'5! $)! *'/5?(012! +,'! '1'(29! '02'1-/.?'5! /('! +,'! 5@?/('5! $)! +,'!
'4&/150$1!6$'))060'1+57!
P! ! "! ! " # #
!
!
!
! $! !
"#$%#
&!!!!%&%! !
!"""
8,'!'1'(29!&($=/=0.0+0'5!/('!5,$%1!01!+,'!,05+$2(/*!='.$%:!(').'6+012!+,'!&('3$*01/16'!
$)!+,'!213!5+/+'"!
P
P2
1.0
0.5
P3
P4
E3
E4
P1
E1
E2
!
<6>!8,'!'4&'6+/+0$1!-/.?'!$)!+,'!'1'(29!05!
! = ! P" #" = ! $" #" =
!
"
!
!
!"11"12
"
"#$%# !
=
" $ !%&!
!
E
!
"#$%# # " !" ! ! ! &
! " " %$ !%&! ('
" !! '('" " "
)
& "#$%# " ! ! ! " $
$!
! " $ = " " !%&! &$$# = " ! #& * $'!"#&
" !! '('"
)
!
&'(
!"# % &'()*+',!"#$" #& &'#(")'* '+,(-, )"+. )"- -.-,(* / !! ! "!# 0 12 )"- 2#,&) -3$#)-4 &)+)-5 +& -36-$)-4
2,17 )"- "#&)1(,+7 +819-:
;:1= >"- 6,18+8#'#)* 4-.&#)* #& ?.#21,7 19-, )"- ,#(") "+'25 &1 )"- !+9- 2?.$)#1. 7?&)
+'&1 8- ?.#21,7 /!#)" + 61&&#8'- 19-,+'' 6"+&- )"+) !- .-('-$)0@
#% # %# " ! " " &
! !!" #$ ! $
%& # % " & " ! " "
A1! 2#.4 )"- .1,7+'#B+)#1. $1.&)+.) !@
! = ! ! = " ! " ! # "! = "
#
#
"
#
$ "! = $
"
# "
"
#
!!!#!!!$ =
"
"
#
C#9#.( )"- !+9- 2?.$)#1.@
#
%
! !!" #$ ! $
%
&
#
%# " ! " l# &
&
#
%# & " ! " #
A1! 2#.4 )"- 6,18+8#'#)* 12 +. -.-,(* 7-+&?,-7-.)
P!" ! !" ! " ! #
"
!" ! " ! # ! " ! "# " # #! " #, ! # $# ! "
!
%
%
!
% "
" %
$ "## '
!*
cos &
% % )(
% "#
!
%
% "
"
$ "## '
sin &
% % )(
%
"
$#
%
" + $ "# '
".
!
cos & ) * " **# 0 , " ! *, ", -,...
"# , % " (
/
!
"
$*, *",*, !,*, *",*, !,*, *",*, !,*, *",*, !,......%
"#
>"- 6,18+8#'#)#-& 12 )"- 2#,&) )",-- &)+)-& +,E1 ! ! " " =
!
2
#2
2
$!!!! E2 ! ! " " =
$!!!! E% ! ! " " =
"
"
%"
PE1 = E1 ! ! " "
2
PE2 = E2 ! ! " "
2
PE% = E% ! ! " "
2
2
&
$ 2'
= & ) = 2 = "'&"5
% "(
"
&
$ #2 '
= & ) = 2 = "'&"5
% "(
"
2
!
2
&
$ 2'
= & ) = 2 = "'"&5
% %" (
9"
>"- -36-$)+)#1. 9+'?- 12 )"- -.-,(* #& (#9-. 8* )"- 21''1!#.( &?75 !"#$" 41-& .1)
$1.9-,(-@
!"##"#$%
%
&'(%
Ch. % Solutions
!
!
! ! " P!" !" ! " !" # " " #
"!!
!
!"
"!!
!
"!!
#
$#!#
"
##$ #
#
#
# #
# , % "$ (
#! # ! , % "$ (
"/
"/
# $ !
+
+!
$%& ' * " # 1 "
!
$%& ' * + " +!# 1
#
# " .
.
)
)
&
&
##$
#$ "!! "$ #
#
0
0
#
#! #
%! $ ' $ ! $ " $ ! $ ' $ ! $ " $ ! $ ' $ ! $ " $ (((((& ! !
#$ #
This sum is infinite because of the step function in the wave function. 4ourier analysis
tells us that this re8uires high fre8uency components, and our calculation tells us these
components scale as 1=!.
A more realistic wave function might have position dependent phase, which would ma?e
the integrals much more complicated. @inear and 8uadratic phases give results not too
different than the uniform phase result.
A.11 The particle is initially in the ground state of a box of size ". Dence the initial state
is
! i"i#i$% ! & " =
!
# "& &
"#$ % (
$ ''
'
between E and " and zero elsewhere. Ff the box is expanded Gsuddenly,G this means the
wave function remains unaltered. How we want the probabilities that the particle in the
expanded box is in the ground state and first excited state of the expanded box. The
probability that the initial state ! !"!#!$% ! ! !"!#!$% ! & " is measured to be in the final state
!
! !"#$% ! ! !"#$% ! & " is the s8uare of the proIection of the two statesJ
!
P!! " ! " "!#$% " !#!&!$%
!
%
$
#$
"
"
"!#$%
!
" ' #" !#!&!$% " ' # ('
!
The energy eigenfunctions of the expanded box are
2
# !"" &
! ! !"" !
%&' %
$ $# ('
$#
between E and 3".
Li) Ne are interested in the term with ! O 1; this is the ground state of the new box. Qrea?
the integral over the new box into two pieces, with one piece being zeroJ
!/11/12
&'10
!"#$%$&'()*+',-$
P!!"!1 !
&
$%
(
!
%
&
0
"1" ##$# !"!$!%& " # # '#
2
( '# +
sin * ) 3( ,
3(
2
2
( '# +
sin * - '# $
) (,
(
3(
&
(
2
( '# +
sin * - . 0 '#
) 3( ,
3(
2
( 2
2
3
(
2
2 3 / ( '#+ ( '#+ 2
( '# + ( '# +
sin
'#
sin
sin
!
+,s
1 * - * - 4
* - * ' 0 ) 3( , ) 3( , 3 0
3( &0 ) 3( , ) ( ,
!
%
2
.1
!
!
5 0113
.'
/4' 2
!"#$#%&'%(%)*+%,"(-,#%."(.%."#%/($.&,0#%&'%1#('2$#3%&-%."#%4$52-3%'.(.#%56%."#%#7/(-3#3%
8579%
(&&)%<5=%."#%!%=%?%'.(.#@%
P!!"!! !
&
%
$%
" !" (#)# !"!$!%& " # # '#
(
!
!
( !'# +
&'( *
) %( -,
%(
&
)
!
!
( '# +
&'( * - '# $
) (,
(
!
( !'# +
. ) '#
&'( *
) %( -,
%(
&
(
!
( !
!
%
/* % (
!
( !'# + ( '# +
( !' # + + ( ' # + 2
&'(
'#
&'(
&'( *
! 1
- * * % $ !,-& *) %( -, -, *) %( -, 4
%( &) ) %( , ) ( ,
0 +' )
3)
(
!
%(
%
!
.
! )/%%
+'
!"#$#%&'%(%**+%,"(-,#%56%6&-3&-4%."#%/($.&,0#%&-%."#%'#,5-3%'.(.#9%%!"&'%'##1'%$#('5-(80#%
8#,(2'#%."#%'#,5-3%'.(.#%56%."#%8&44#$%857%&'%(%8#..#$%1(.,"%.5%."#%6&$'.%'.(.#%56%."#%'1(00#$%
8579!
%
A9)?%%!"#%5$."545-(0&.B%$#0(.&5-%&'%(65$% ! ! " )@%
!
#
&
"#
&
!" !# ! $ ! "! " $ #! # " $ # %$ ! $
%
"
&
#$% " "%$
& #
"
&
#$% " #%$
& # %$ !
"
&
" %& # $& #$% "'#$% #' %'
%
%
" & #$% " " " # # ' #$% " " $ # # ' )
" & #$% " " " # # % #$% " " $ # # % )
! (
"
"
+ ! (
+!&
% ' " "" " ##
" "" $ ## *
" " " $ # # *& % ' " " " " # #
%
'"5=&-4%."(.%."#%'.(.#'%($#%5$."545-(09%
%
A9)*%%C.($.%=&."%."#%-5$1(0&D(.&5-%,5-3&.&5-%! ! ! ! E%(-3%."#-%&-'#$.%."#%2-&.B%5/#$(.5$%
&-%."#%65$1%56%."#%,05'2$#%$#0(.&5-@%
%
#
&
! ! ! ! ! ! 1 ! ! ! % " En En ( ! %
$ n
'
!"#%'21%,(-%8#%/200#3%52.'&3#%."#%8$(,F#.%.5%4&G#%
!"##"#$%
%
&'##%
!"#$%$&'()*+',-$
! ! ! ! ! " ! !" !" ! ! " !" !
!
"
"
!
"
!
"#1%!!&''()*!+!',-(./,0!,1!.2*!1,3)!
# #$%x $ &$" %x
x % "'
%
! ! ! x " # $ ( !"# )x $ * $%! )x "' % x % ' !
% +$%x $ ,$" %x
x&'
&
!
42/'! 5,(06+37! 8,06/./,0!+.!/01/0/.7! 3*9(/3*'! .2+.! !!:!"!:!;#! 42*! 5,(06+37! 8,06/./,0'! +.!
.2*!3/<2.!'/6*!,1!.2*!=*--!>#!:!$?!</@*!
! e"e# ! $ " !% sin ! &$ " # ' %&s ! &$ " $ (e" )$
!
!
*! e"e# ! + "
! &% %&s ! &$ " " &' sin ! &$ " $ ")(e" )$
*+
+$$
42*!5,(06+37!8,06/./,0'!+.!.2*!-*1.!'/6*!,1!.2*!=*--!>#!:!A$?!</@*!
! !"!# ! "$ " ! "% "#$ ! &$ " # ' %&" ! &$ " $ (!" )$
!
!
*! !"!# ! + "
! &% %&" ! &$ " # &' "#$ ! &$ " $ )(!" )$
*+
+$" $
&66!+06!'(5.3+8.!.2*!=+@*!1(08./,0!+06!6*3/@+./@*!*9(+./,0'!3*'B*8./@*-7!.,!<*.!
!! "#$ ( "# ) = %$ + %&&! '#
!
!( $i( ( "# ) = %!$ + %&&! '#
!( "#$ ( "# ) = '" %$ ! %&&! '#
!
!! $i( ( "# ) = '" %$ + %&&! '#
C-/)/0+.*!.2*!&!+06!D!.*3)'!13,)!.2*!E!+06!F!*9(+./,0'!.,!<*.!
!
!! !""#$ ! "# " # $" %&" ! "# " #$ $ '
!% !" %&" ! "# " % $" "#$ ! "# " #$ $ '
!
G,! */.2*3! E:;! ,3! F:;! >/1! 5,.2! :;!.2*0!.2*3*!/'!0,! =+@*! 1(08./,0?#!!42/'!-*+@*'!('! =/.2!
*/.2*3!'/0!,3!8,'!',-(./,0'#!!H,3!.2*!*@*0!8,'!',-(./,0'!>E:;?I!.2*!9(+0./J+./,0!8,06/./,0!/'!
!
"# !"# ! !" " ! #! #$% ! !" " $% # 0!!!&!!!! '(% ! !" " # # !
+'!=*!1,(06!5*1,3*#!H,3!.2*!,66!'/0!',-(./,0'!>F:;?I!.2*!9(+0./J+./,0!8,06/./,0!/'!
!
!"!"# ! !a " # #! $%! ! !a " #$ $ &!!!%!!!&! $%' ! !a " $ # !
+'!=*!1,(06!5*1,3*#!!
!
!"##"#$%
%
&'#$%
!"#$%$S'()*+',-$
!"#!$$%&'$())$*(+,-i(/*$01'$
#
$e&#
%
! !"" ! # " = $ ' !"# ! (# "
%
" &#
& "$e
$
# $ "a
"a ' # ' a $
#%a
%&'$2(,/)01y$4(/)i-i(/*$0-$-&'$1i5&-$*i)'$(6$-&'$7'++$8!$9$":$5i;'$
! !"!# ! $ " !% "#$ ! &$ " # "'!" ($
$
)! !"!# ! * "
! &% %&" ! &$ " # ('!" ($
)*
*#$
$
%&'$2(,/)01y$4(/)i-i(/*$0-$-&'$+'6-$*i)'$(6$-&'$7'++$8!$9$<":$5i;'$
! !"!# ! $ " ! "% sin ! &$ " # '!" ($
$
)! !"!# ! * "
! &% %os ! &$ " # ('!" ($
)*
*#$
$
=i;i)i/5$-&'$'>,0-i(/*$6(1$'i-&'1$*'-$'+i?i/0-'*$-&'$/(1?0+i@0-i(/$4(/*-0/-*$-($yi'+)$
!! !"# ! !a " # # $
$
0*$>,(-')$i/$-&'$-'A-"$
$
!"#B$$C(1?0+i@'$-&'$6i/i-'$7'++$'i5'/*-0-'*$2y$,*i/5$-&'$2(,/)01y$4(/)i-i(/*$-($1'+0-'$-&'$
70;'$6,/4-i(/$4('66i4i'/-*$i/*i)'$0/)$(,-*i)'$-&'$7'++$0/)$-&'/$i/-'510-i/5$(;'1$0++$*D04'"$$
E(1$-&'$';'/$*-0-'*F$G>"$8!"HI:$5i;'*$
! ! "#$% !"# " &% # $
$
%&'$/(1?0+i@0-i(/$i/-'510+$i*$
#
! = !" !" = $ ! " ( # ) $#
"
"#
=$
"(
"#
$
%&
'# "
#
$# + $ ) #$% ( *# ) $# + $ %&" '# $#
= )&'( #$% ( *( )
(
"
"(
"
$
"(
"#
"
(
&"'# $# + )
"
$
(
"(
#$% " ( *# ) $# + )&'( #$% ( *( )
%&' ( "*( ) "'(
&""'(
&""'( (
" %
= ) &&"'( #$% " ( *( )
+(+
+ & #$% " ( *( )
)
"'
"*
"' *
'
%&' ( "*( ) (
!
" %
= ) &#$% " ( *( ) + ( +
)
"* *
'
'
"
$
#
(
&""'# $# $
J*i/5$-&'$>,0/-i@0-i(/$4(/)i-i(/$6(1$';'/$*-0-'*$ ! !"n ! !" " # # F$7'$5'-$
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
! 2
%)( " 2"# # $
1
1 ' #$% * " "# # 2 %)( " "# # #$% " "# # * $2 !
1 ! ! "#$% " "# #
$#$
$
% ! ! "# $ )
,+ %
2" &
2
" &'( " "# #
" ( %)( " "# #
-#
#
&!
$
#$% " "# # ' #$% 2 " "# # %)( 2 " "# # * -$
1
1$
2 2 !
2 !
$
! ! "# $
% ! ! "# $ %
% ! ! "# $
)
,
"
%)( " "# # + -&
" &'( " "# # &
$&
( %)( " "# #
-#
#
#
2
"#$%# &'# ()*# +,$%&-.$ %.#++-%-#$&/ )0#
%#" "#$ # &" $
!=
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!$ =
!
!
""
""
#
#
!
"#$%#1 &'# $.02)3-4#5 #*#$ /&)&#/ )0#
$ eqa "#$ ( ka ) eqx
! &&
! even ( x ) = a + % "#$ ( kx )
q&
qa
" qx
&' e "#$ ( ka ) e
x % "a
"a # x # a
x&a
6.0 &'# .55 /&)&#/1 &'# 7.,$5)08 %.$5-&-.$ 9:0.73#2 ;<=;> ?-*#/
! ! !"#$% sin " &% #
@'# $.02)3-4)&-.$ -$&#?0)3 -/
#
! ! !" !" ! $ ! " " x # $x
"
"#
!$
"(
"#
#
%&'x $x $ $ ) #$% " *x # $x $ $ "%&" 'x $x
(
"
! ")&'( #$% " *( #
"
"(
"
$
"(
"#
"
(
&"'x $x $ )
"
$
(
"(
#$% " " *x # $x $ ")&'( #$% " *( #
#$% " "*( # "'( "
&""'(
&""'( (
" %
! ) &&"'( #$% " " *( #
$("
$ & #$% " *( #
)
"'
"*
"' *
'
#$% " "*( # (
!
" %
! ) &#$% " " *( # $ ( "
)
"* *
'
'
"
$
#
(
&""'x $x
A/-$? &'# B,)$&-4)&-.$ %.$5-&-.$ +.0 .55 /&)&#/ !! !"# ! !" " # # ?-*#/
"
#$% " ""# # %
!!
! ( #$% ) " "# # " #$% " "# # &'# " "# # + .%
" "
" .
!
!
! ! ! ##$% " " "# #
$#!
#
!
$
&
#
-, &
"" '
"
" &'( " "# #
" *) &'# " "# #
.$
.'
$
%
#$% " "# # ( #$% " " "# # &'# " " "# # + %.
!
!%
.
" "
" "
" "
!
!
$
#
!
#
$
! ! ## !
!
!
&
&
#
#
&
" *) &'# " "# # &'# " "# # -, .'
" &'( " "# # '
$'
.$
$
$
"#$%# &'# ()*# +,$%&-.$ %.#++-%-#$&/ )0#
!"##"#$
&'#(
!"# 5 &'()*+',%#" s#$ # &" $
!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!$ ! !
!
!
""
""
#
#
!
"#$ %&' #()*"+,-'$ ($$ .%"%'. ")'
$ "&%$ "#$ ! '$ " &%#
! &&
! !"" ! # " # $ $ % "#$ ! '# "
%&
%$
" %#
&' & "#$ ! '$ " &
# % "$
"$ # # # $
#&$
/012 3&' 4)(5"5,+,%6 (7 7,#$,#8 %&' 4")%,9+' (:%.,$' %&' ;'++ 7() '<'# .%"%'. ,.
"
"
P! !" = ! # ! # ( ! ) $! = ! # %&
!
"
$ '! !
"
$! = ! %
!
#
"
"
&
$!'!
% &$!'" (
$! = ! % &
)
' !' *
!
=.,#8 %&' #()*"+,-"%,(# )'.:+% 7)(* >)(5+'* /01?@ ;' (5%",#
!
P! !"
#$" "#$ # %" $ " #!!$" % "#$ ! # %" $
"!
#
&"
!$ '
$" % %
%
$
"%
$
=.,#8 %&' A:"#%,-"%,(# 9(#$,%,(# 7() '<'# .%"%'. ! !"# ! !" " # # @ ;' 8'%
P! !" "
$ ! 1 $!
$
!"# 2 # #" $ ! 1 $ !
1
1
#2
"
"#
"
" 1 % $" &% #" 1 % &'( 2 # #" $ &% #" 1 % $" &% #" 1 % $ 2 # 2 &% #1 % $" $ # 2 % $ 2
1 % $"
#
$
=.,#8 %&' $'7,#,%,(#. z ! "# "#$ ! !" " # ! #" " $ $02 8,<'.
2
P! !" "
2
$
#2
#02 1 # #02 ! # 2
%
B() ($$ .%"%'.@ %&' )'.:+% ,.
P! !" "
!"# 2 # #" $
$" % 1
"#$ :.,#8 %&' A:"#%,-"%,(# 9(#$,%,(# 7() ($$ .%"%'. !! !"# ! !" " # # 8,<'.
P! !"
$ ! % $!
$
!in $ # #" $ ! % $ !
%
%
#$
=
=
=#
=
" % + $" &% #" % + &'( $ # #" $ &% #" % + $" &% #" % + $ $ # $ &% #% + $" $ # $ + $ $
% + $"
#
$
"#$ &'#9' %&' ."*' 8'#')"+ )'.:+%0
!"##"#$
&'#&
!"# % &'()*+',!"#$%&'(")*%"%$)+*#,$$%'-,".'*/,*("#$%&'(")*!,*1(/2*/2%*3(4(/*5%(")*!07**!"#$%&'(")*!*#&8'%'*
/2%*"84%$&/,$*,9*/2%*-$,5&5(3(/+*%:-$%''(,"*/,*("#$%&'%*&".*/2%*.%",4("&/,$*/,*.%#$%&'%,*
',*/2%*-$,5&5(3(/+*("#$%&'%'7*
*
;71=**>2%*1%33*-&$&4%/%$*!0*('*
2 " 511%&# # 5&# "1%5'" 2 #
2"#0 $ 2
!0 !
!
! 8%59 *
*
2
!2
1240&#'" 2! #
"
!
12(#2*)(?%'*@*5,8".*'/&/%'*&'*'2,1"*5%3,1A*
2
fHzL
5p
2
2p
3p
2
p
p
2
p
2
3p
2
p
z
5p
2
2p
*
*
>2%*5,8".*'/&/%'*&$%*.%/%$4("%.*5+*/2%*$,,/'*,9*/2%*B8&"/(C&/(,"*%B8&/(,"'A*
!"!#!!!!!!!$ !"# ( $ ) = $$% " $ %
*
%&&!!!!!!!"$ &'! ( $ ) = $ " $
%
$
%
*
>2%*D&/2%4&/(#&*#,44&".'*
!
!
!
"
"
*
"#$%& ! '()*+,,- !.?,-/.0@ 234- !.0 1 . "78.79( 1 <!79( 1 <!7(!>"//1720078(73>"
!
2
2
2
2
"
"#$%& '()*+,,- ."#)/.01 234- .0 1 . 78.79( 1 34<!79( 11<!79( 1 12<!> //1720078(73>
1
1
3
2
*
)(?%*/2%*$,,/'*,9*!*&'*
! ! !"#$%&'()))#"&$!!()))%"*!'&!()))&"+$+,'()))-"-'%,()))+"!%'#' *
*
E%"#%*/2%*&33,1%.*%"%$)(%'*&$%*
*
!! "!
"!
!!
!
% ! "#$%&'()**"#+%+'()**$#$,-'()**!#$",'()**%#!&+'()**&#+!+'( *
!
! "
!#$
"
"
!
*
*
*
!"##"#$%
%
&'#!%
!"#$%$&'()*+',-$
!"#$% % &'(% )*e% ,-.-)e% /e001% )*e% 200'/ed% 4205e6% ',% )*e% p2(28e)e(% !% 2(e% 9-4e.% :;% )*e%
)(2.6<e.de.)20%e=52)-'.6%
%
!"!n! $%&it)!!o++!n"!!!!!!!, #$% ! , " # ,02 " , 2
o++! $%&it)!!!"!n!n"!!!!!!!", ()# ! , " # ,02 " , 2
%
&'(%)*e%-.,-.-)e%/e001%)*e%200'/ed%4205e6%',%)*e%p2(28e)e(%!%2(e%
!
%
!
!n ! n
%
&-9"%!"#>%6*'/6%)*e%,-.-)e%/e00%6'05)-'.6%,'(%'.e%p2()-<502(%<26e?%
fHzL
2p
z0
z tanz
-z cotz
z02 - z2
3p
2
p
p
2
0
p
2
z0
3p
2
p
2p
z
%
@*e% d26*ed% 0-.e6% (ep(e6e.)% )*e% 200'/ed% 4205e6% ',% !% ,'(% )*e% -.,-.-)e% /e00% <26e1% /-)*% )*e%
<'((e6p'.d-.9%4205e%A628e%"B%,'(%)*e%,-.-)e%/e00%<26e%-88ed-2)e0;%)'%)*e%0e,)"%%C)%-6%<0e2(%
,('8%)*e%p0')%)*2)%)*e%d-,,e(e.<e%:e)/ee.%)*e%200'/ed%4205e6%',%!%,'(%)*e%,-.-)e%2.d%-.,-.-)e%
/e00%<26e6%A628e%"B%-.<(e26e6%26%!%-.<(e26e6"%%@*e%e.e(9;%-6%9-4e.%:;%!!n ! ! 2 # 2 2$a 2 1%6'%
)*e% d-,,e(e.<e% -.% e.e(9;% e-9e.4205e6% -6% 02(9e(% ,'(% *-9*e(% e.e(9;% 6)2)e6"% % @*-6% -6% 206'%
e4-de.)%,('8%<'.6-de(2)-'.%',%)*e%/24e%,5.<)-'.61%26%-.%&-9"%!"#D?%
(a)
(b)
-a
0
a
x
-a
0
a
x
%
@*e%/24e0e.9)*%',%2%,-.-)eE/e00%6)2)e%-6%0'.9e(%)*2.%)*e%<'((e6p'.d-.9%-.,-.-)eE/e00%6)2)e%
:e<256e% )*e% /24e% ,5.<)-'.% 0e2F6% '5)% ',% )*e% /e00% -.)'% )*e% <0266-<200;% ,'(:-dde.% (e9-'.%
A:2((-e(%pe.e)(2)-'.B"%%@*e%:2((-e(%pe.e)(2)-'.%-.<(e26e6%26%)*e%e.e(9;%-.<(e26e6%2.d%6'%)*e%
d-,,e(e.<e%-.%/24e0e.9)*6%2.d%*e.<e%/24e%4e<)'(6%2.d%50)-82)e0;%e.e(9-e6%-.<(e26e6%/-)*%
-.<(e26-.9%e.e(9;"%
%
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
!"#$%%&%'()*+,in+ini/0'%123)40%50**%i1!)%123)40%50**%5i/(%in+ini/0%67/0n/i)*%+74% ! ! ! 8%+ini/0%
67/0n/i)*%5i/(%9)*30%"$%+74% ! ! " 8%)n:%;047%67/0n/i)*%in%/(0%50**% ! ! ! ! " "%%<(0%in+ini/0%
67/0n/i)*%+74% ! ! 0 %4023i401%/(0%5)90%+3n=/i7n%/7%>0%;047%)/%/(0% ! ! ! %>73n:)4y"%%&/%/(0%
! ! " %>73n:)4y8%/(0%5)90%+3n=/i7n%)n:%i/1%:04i9)/i90%@31/%@)/=(%7n/7%)n%0A67n0n/i)**y%
:0=)yinB%5)90%+3n=/i7n"%%<(0%7::%6)4i/y%1/)/01%7+%/(0%+ini/0%50**%17*90:%in%/(0%/0A/%1)/i1+y%
/(010%>73n:)4y%=7n:i/i7n18%17%/(0%0n04By%0iB0n1/)/01%)40%/(0% ! = "#"! %1/)/01%+73n:%>0+740"%%
<(0%0n04Bi01%)40%C31inB%!!! ! ""#! $ " ! " D%
%
!2 "2
!=
!!!!!!!!!!!!!!!where!!!!!!!!!!!!!!!!!!" "#$ ( " ) = "02 ! " 2 %
2
2ma
<(0%n74@)*i;0:%1/)/01%CE47>*0@%!"FGD%)40%
#
"#$ ( $! )
%
$ #"
! % "#$ ( $" ) %" #!
" + %&
#
%%!%"
!
! ( !) =
%
!&"
%
5(040%
!# "&# ! $ # " !
!#$" !
!" !
!"!!!!!!!!!!!!%" !
%
!!
!!
%
%
!"#F%%<(0%647>)>i*i/i01%)40%%%
%
#
! #
! #
! #
P!! ! !! !
"
! !!
P!" ! !" !
"
!
P!# ! !# !
"
P!% ! !% !
"
<(0%(i1/7B4)@%i1%
!
!
!! "
!
#$
"
#$
!" "
#
#$
!# "
%
#$
!%
"
!
#$
!! "
"
#$
!" "
#
#$
!# "
%
#$
#
!
#$
!! "
"
#$
!" "
#
#$
!# "
%
#$
!%
%
!
#$
!! "
"
#$
!" "
#
#$
!# "
%
#$
!%
!%
$ !
$ !
$ !
$ !
"
"
"
"
!
#$
%
#$
%
&
#$
!'
#$
P
1.0
P4
0.5
P1
E1
%
!"##"#$
P2
E2
P3
E3
E4
E
%
&'#(
!"#$%$&'()*+',-$
!"#$a&#'a(#$&a)*#$+,$-"#$#.#'(/$01$
!
!
"!!
"!!
! ! " P!" !" ! " !" #
$
"
"!! ! !! # #$! ! " #$% " " #$& # " !'
#$ % $ !
!$
!! $
#
!+$,0.2$-"#$*.3#'-a0.-/4$5#$.##2$-"#$a&#'a(#$+,$-"#$16*a'#17$
!
$
E
!
!
! " PE" E ! " E" #
!
!
"
"!"
" ! E"! ! E"! # #$" " " #$% % "
&
#$
& " "'
#$ "' $ !
"!"
(&
E" $
(
!"#$*.3#'-a0.-/$+,$-"#$#.#'(/$01$
!! !
$
!! " !
! !"
!
" #$# # " " "%& #! ! !"
&"
'#
# %()&!!" $
$
89::$!"#$;'+<a<0)0-0#1$a'#$$
!
& $ # #"
)
!
"
$
! !" ( %
!# + !
( #!# #"
+
('
+*
!
$
P!" ! !" !
!
#
"!
!
!
#
"!
!
" #$
" "$
% #" , "# ! ""
#!#
$
!
" !" $#"
!
$
""
!
=11*m0.($ ! ! ! $(0&#1$-"#$"01-+('am$
P
1.0
0.5
α=1
P0 P1
P2
P3 P P P P
4
5
6
7
E0 E1 E2 E3 E4 E5 E6 E7
E
$
=11*m0.($ ! ! ! $(0&#1$-"#$"01-+('am$
P
1.0
α = √3
0.5
P0
P1
P2 P3 P
4
P5 P
6 P7
E0 E1 E2 E3 E4 E5 E6 E7
$
$
!"11"12%
%
E
$
&'1(%
!h. % Solutions
!"#$%&#'%(#$&%)*#$+,$-"#$#.#'(/$i1$
!
& ! # ""
# "" #$#
# "" )
$# "
$
$
! ! " P!" !" ! "
# " " " $ !% ! !% # ( " " $ $ # " " " "# +
"#
$ "!! *
' "!$ #
"!!
"!!
!
$
"
!
! !% #$#
#
$
"
"
& " ! # "" $ ! # "" )
$# "
# " ## " $" ## ! !% # " " $"
(' # " "# " " " "# +* ! !% #
"!!
"!!
"
!
#
$
$
!+$,i.2$-"#$*.3#'-%i.-/4$5#$.##2$-"#$%&#'%(#$+,$-"#$16*%'#17$
# !" #$#
!
!
! " P!" ! ! "
" " $! $ # !% $
#
"#
"!"
"!"
!
!
!
!
!
!
"
!
!
!
! &
"# !"
# !"
# !" )
!
! # !% $ # $ # ( "
""
" $% "
+
' "!$ # " $ $$# "!$ # " $ $$#
"!" "# *
$
! # !% $ #
!
$# !
$
!
& ! ! # $ " $$# ! $
# ! $ $ ! # !" )
!
"# "
" %"
(' # "
+
$#
$!"
$!" $#
"!" "# *
!
!
! &
# !%
# ! $ $ ! # !" )
!
!
! # !% $ # $ # ( # % "
" !# ! "
" %"
! # !% $ # % " !# ! " $%
+
' % !" %#
$!" $#
"!" "# *
#
!
!"#$*.3#'-%i.-/$+,$-"#$#.#'(/$i1$
!! !
$
!! " !
!
" !# #! "$ " $ !$ ! $ #" # " " !# "$ ! $ #! ##
!
"$ " $ !$ ! $ #" # " "$ " $ $ ! $ #" # ! !#$
! !#
!
!
$
$
$
89:;$$<i=$>+'$-"#$?1-$5%&#$,*.3-i+.4$-"#$.+'@%)iA%-i+.$i.-#('%)$i1$
$
#
! ! $ ! " ! # "! ! $
"
"#
#
"#
#$" !
"
#
"
"! ! #
"
$
#
"#
$"" !
"
#
"! ! " #
"
!
#%
"
%! #
$
"
" "#
/i#)2i.($-"#$.+'@%)iA#2$5%&#$,*.3-i+.$$
# ! &
! ( !) = % (
$ "" '
$
1$
") ! " $
!
!"#$B'+C%Ci)i-/$-"%-$-"#$B%'-i3)#$i1$@#%1*'#2$-+$C#$C#-5##.$D$%.2$?$i1$
$
P!!!!" " " ! # ! $ "! "
"
!
#
#
$#
"
"
!
#$# !
#
$
$ # $ $$ #
"
# "$ "
"
# !
#
#
$#
"! "
"
!
# $
#$$ "$ $
#
E#3%))i.($-"#$2#,i.i-i+.$+,$-"#$#''+'$,*.3-i+.7$
$
!"# ! $ " #
!
!
#
$
"
!"% &% $
!
$
!"##"#$
&'$(
!"#$%$&'()*i'n-$
!"e pro(a(i+i!, is
P0!!!1 "
1
!
2 $
#
0
""# $# "
2
1
"%&
2
#
$
2 $ " 0%$&'
."e p+o! o/ !"e 0a1e /2nc!ion is s"o0n (e+o0:
yHxL
0.6
0.4
0.2
x
-4
-2
0
2
n:
6ii7 8or !"e 2 0a1e /2nc!ion !"e norma+i<a!ion in!egra+ is
#
! ! $ ! " ! # "! ! $
"
"#
#
"#
"
#
!
!
" #
"! ! " # $
" "!
"
#
! $"
!" $ "
"
#
"
#
#
%
%a' "! ! " (
!
+ "
+
"
* !" #"
'
!" #
$
! #
"
$ "
$ "
$ "
*
'$ ! $ "
)#
&
"
"
#
,ie+:ing !"e norma+i<e: 0a1e /2nc!ion
# ! 2&
! ( !) = %
(
$ " '
#2
#
! $2
2
."e pro(a(i+i!, !"a! !"e par!ic+e is meas2re: !o (e (e!0een 0 an: ? is
P!!!!1 " " ! ( ! ) "! "
1
!
2
$ 2
#
(
1
"(
!
(
)
1
%&' $1 ! 2 (
1
!
$ 2%
*
'
%
2 "! "
2
2
#
$
!
%
2
$
2
*
'
! %2
)!
&
)
(
)
$1
$ 2 % 1 %&' 1 2 ( 1 % 2
*" '
'
"
%
% %&' $1 1
# ' 12
$ 2
* #& (
)
&
(
)
(
2 * " !)($*
)
)
."e p+o! o/ !"e 0a1e /2nc!ion is s"o0n (e+o0:
!"##"#$%
%
&'$#%
!"#$%$&'()*+',-$
yHxL
0.6
0.4
0.2
x
!
-4
-2
0
2
',
(###)!%&'!()*!+ !-./*!0123(#&2!()*!2&'4.5#6.(#&2!#2(*7'.5!#8!
#
!
#
! = $ ! ( ! ) "! = $ #!#$%& ( ! ' ) "! = " #
"
"#
"
"#
= " # %& '!)*+& ( ! ' ) '( ( = !( #
#
"
"
$
#
(
#$%& " ( ! ' ) "!
"
!
9#*5,#27!()*!2&'4.5#6*,!-./*!0123(#&2!!
1
#$%& ! ! ' " !
10
! ! !" #
!
:)*!;'&<.<#5#(9!().(!()*!;.'(#35*!#8!4*.81'*,!(&!<*!<*(-**2!=!.2,!>!#8!
P!!!!" " " ! # ! $ "! "
"
!
!
#
"
" "
"
$%&' # # ! ( $ "! " #$ (!)*+' # ! ( $ %& !
"
"! !
"!
"
" )*+' #" ( $ " !,!-./
#
!
:)*!;5&(!&0!()*!-./*!0123(#&2!#8!8)&-2!<*5&-?!
yHxL
0.25
0.20
0.15
0.10
0.05
-15 -10
0
-5
5
10
x
!
!
@ABC!!:)*!;&8#(#&2!'*;'*8*2(.(#&2!&0!()*!*2*'79!*#7*2/.51*!*D1.(#&2!#8!
!
6"11"12%
" !! " !
%
$# ! !! "# ! ! $ " # #'& ( % " # # $ %( % " # # !
!
%
5'22%
!"#$%$&'()*+',-$
!"#$%&'#$()&*+( !" (#*( ! (#*(%$#(
(
$
#
!
#
#
!! " !
" $ ! # " "# # $ % ! # "" $ ! # " "# $ $ $ " $ ! # " "# (
!
!#
!#
!! "#
! !#
!"(#,$(-.+.#(#,'#( ! " ! /(#,$(."#$%&'-(*"(#,$(&.%,#(.0(1$&*2((3,$().&0#(."#$%&'-(4.$-50(#,$(6'7$(
)8"9#.*"(5$&.7'#.7$/(-$'7."%(
"
!! ! # "
!! " ! # "
2$
# "
= 2 "i$ % % ! # "! " ! # " !# (
!# "
!# # " ! " $% # "
!
!)( #,$( :*#$"#.'-( $"$&%4( .0( ).".#$/( #,$"( #,$( ."#$%&'-( *"( #,$( &.%,#( .0( 1$&*/( '"5( #,$( 6'7$(
)8"9#.*"(5$&.7'#.7$(+80#(;$(9*"#."8*802((!)(#,$(:*#$"#.'-($"$&%4(.0(.").".#$('#(#,$(;*8"5'&4/(
#,$"( #,$( 6'7$()8"9#.*"( 5$&.7'#.7$("$$5("*#( ;$(9*"#."8*80/('0(."(#,$(.").".#$(0<8'&$( 6$--(
:&*;-$+('"5(=&*;2(>2?>(6.#,('(5$-#'()8"9#.*"(:*#$"#.'-2(
(
>2?>((@*&('(5$-#'()8"9#.*"(:*#$"#.'-/(#,$(:*0.#.*"(&$:&$0$"#'#.*"(*)(#,$($"$&%4($.%$"7'-8$(
$<8'#.*"(.0(
(
$ !2 " 2
'
&% ! 2! "# 2 ! "# ! # ")( * $ ! # " # $* $ ! # " (
!
(
A8#0.5$( *)( #,$( :*#$"#.'-( 6$--/( ! = 0 /( 0*( #,$( 0*-8#.*"0( '&$( &$'-( $B:*"$"#.'-02( ( C008+$( '(
0*-8#.*"(*)()*&+(
# #$%" $ &$" %" !"""!!!" % 0
%
!! ! "" # $
(
%"
" %"
%& '$ $ ($ !""!!!" & 0
(
6.#,( !! ! !2"# ! 2 2((3,.0(;*8"5'&4(9*"5.#.*"(D"*&+'-.1';.-.#4E('#(.").".#4(&$<8.&$0(#,'#(
!(=("(=(G2((3,$(;*8"5'&4(9*"5.#.*"(*"(#,$(9*"#."8.#4(*)(#,$(6'7$()8"9#.*"('#(#(=(G(%.7$0(
$(=(%/(0*(
# #$%" !"""!!!" $ #
%
!! ! "" # $
(
" %"
!""!!!"
%
#
#$
%&
(
3,$(;*8"5'&4(9*"5.#.*"(*"(#,$(6'7$()8"9#.*"(5$&.7'#.7$(D=&*;2(>2?HE(%.7$0(
"
!! ! # "
!! " ! # "
!$
# "
# ! "i$ % % ! # "! " ! # " !#
!# "
!# # " ! " $% # "
(
" $%
!
!"11"12%
!
"
"
!$
"i$ ' # ! # !#
! " $% %# " ! " " ! "
!
(
!$
#!&' # # & ! ! " ! % "
!
!$
#!&' # # & ! '
!
"i$ #&'(# &" # &'(&" # # &
%
&'2(%
!"#$%$&'()*+',-$
with the result
"!
!! !
!
!
This yields the allowed energy
!!"!
#" !
!!!
!! !
!#
!!
2inally, we normali5e the wave function:
#
1 = ! ! = $ ! ! ( " ) #" = 2 $
2
"#
2
$
#
0
e
"2&"
$
#" =
&
2
'&
%!$ = & =
!
!
The delta function potential energy well has only one bound state with solution
!! ! "" =
#" ##" "
$
!
!!
#" !
!"!!!!! = # !
!!
5.>? @utside of the potential wells, ! ! ! , so the solutions are real exponentials. Bssume
a solution of form
#
#$%" !"""!!!!!!!" $ "&
%%
! ! ! " " # $ '$%" % ($" %" !""!!!"& $ " $ &
%
)$" %" !"""!!!!" & &
%&
with !! ! !!"# ! ! . The boundary condition on the continuity of the wave function at
! ! "" gives
!e! qa ! %e! qa " &eqa
'e! qa ! %eqa " &e! qa
The boundary condition on the wave function derivative (Drob. 5.>E) at ! ! " gives
!"11"12%
%
5'24%
!"#$%$&'()*+'n-$
$# "
!! ! # "
!! " ! # "
2%
2%
# "
$ 2 "i$ % & ! # "! " ! # " !# $ # & 2 ! " ! $ "
$#
"
!# $# "
!# $# " ! " $%
!
!
"
2%& # '$
()
!2
*
' 2%&
$ ) 2 # ' , *)'$ # +)# '$
+
( !
#'()# '$ # '*)'$ # '+)# '$ $ #
'*)'$ # '+)# '$
!
!
"
!
2%& * '$ 2%& # '$
'
)( 2' # 2 ,+ *) $ 2 +)
!
!
)#2'$ $
!
* ' !2' *
#&
+ )( %& ,+
"#$%&#'%(!)*%!+,-./012!3,./#)#,.!,.!)*%!&04%!5-.3)#,.!/%1#40)#4%!0)! ! = !" !6#4%'!
" $# #
!! ! # "
!! " ! # "
!%
!%
" "
= ! "i$ %
& ! # "! " ! # " !# = " & ! ! " ! $ "
"
$"
#
!# " $# #
!# " $" # ! # $%
!
! '()
" '$
!%& " '$
+)
!!
!%& *
'
'()" '$ " '*)'$ = ) ' " ! , ()" '$ # *)'$
(
! +
"
" '*)'$ " '+)" '$ = "
!
!
"
!
!%& * '$
!%& " '$
'
)( "!' # ! ,+ *) = " ! ()
!
!
)"!'$ =
!
* ' !!' *
"&
( )( %& ,+
7*%'%!)&,!3,./#)#,.'!01%!'0)#'5#%/!,.82!#5! ! 2 = " 2 !,1! ! ! "" (!&*#3*!3,11%'9,./!),!%4%.!
0./!,//!',8-)#,.'(!0'!,.%!%:9%3)';!!<,1!)*%!%4%.!',8-)#,.!= ! ! " ! # $!!%& ! c#$% !%& >(!&%!
6%)! ! ! " !0./!)*%!?-0.)#@0)#,.!3,./#)#,.!#'!
!
!!"
!!!"# !
! "!
"
$
!
7*#'!)10.'3%./%.)08!%?-0)#,.!30.!+%!',84%/!6109*#30882;!!A#B98#52!)*%!%?-0)#,.!+2!8%))#.6!
! = !"# !0./! ! ! ! ! !!"" (!'-3*!)*0)!
!
!! " ! " " ! !!
C8,)!)*%!)&,!'#/%'!,5!)*#'!%?-0)#,.!0./!#/%.)#52!)*%!#.)%1'%3)#,.!0'!'*,&.!+%8,&D!
!"11"1$%
%
&'$&%
!"#$%$S'()*+',-$
fHzL
a=2
a=1
0.5
a = 0.5
1
2
z
3
-0.5
-1.0
!
"#$%$! &'! ()*+! ()$! ,**(-$.! &)/$%'$0/&()! 1(&)/! ,).! /#$%$2(%$! ()$! ,**(-$.! $)$%3+,! -#&0#!
.$1$).'!()!/#$!1,%,5$/$%!!! ! ! ! !!"" 6!!7(%!$8,51*$,!2(%! ! ! ! ,!/#$!,**(-$.!'(*9/&()!&'!
! ! !"# ! "#!$% ,!-#&0#!3&:$'!,)!$)$%3+!
! ! ""#!$% #
!!"!
!!
!!!
!!
!!!!&#!&'
!
!#
%#$ !
#$ !
!
!
!
;(%5,*&<&)3!/#$!$:$)!-,:$!29)0/&()!3&:$'!
#
! ! ! ! ! $ ! ! " x # #x ! $
"
"
"#
! $
!
"
$
"'
"#
%"&x #x $ (
"
$
'
"'
# $%&' " &x #x $ $
"
$
#
'
%""&x #x
""&'
(
%""&'
%""&' % !
"
" %
$ $
&()'
"&'
$
'
$
$
*)
"&
$%&' " &' '& "&
"&
"
# "
#
""&' %
#&' $ %&' $ %" &' $ %"&' " %""&'
%""&' %
"&' $ &()' "&' (
" %
! $
!$
! $
'
"
& '&
& '&
" $%&' " &' *)
%&' $ %" &'
"
! % #&'%
! $ '
& '&
""&'
"
"
"%
$ ! $ %""&'
&'
# $ "! " % # (* ! $
*)
#
$ %" &'
"
"# &'
"
"
"
"
# (* !
*)
" % ! $ "&' $ %"&' (
*
'
& '& ! $ %"&' " *)
"
#
&
! $ %"&'
+!$ !
" ! $ "&' $ %"&'
"#$!$:$)!'(*9/&()!&'!
!
#
&"'x !"""!!!!!!!x $ "(
%
#$%& 'x
%
!""!!!"( $ x $ (
! !!! "#"$ ! x " # $ &"" '(
2 #$%& '(
%
%
&"" 'x !"""!!!!x % (
&
&#
( & "2'(
'
!
2 ( & 2'( & "2'(
,'!'#(-)!=$*(-!
!"##"#$%
%
&'$!%
!"#$%$&'()*+',-$
yHxL
0.6
0.5
0.4
0.3
0.2
0.1
-4
0
-2
xêa
2
"#$ %&' #(( )#*+%,#- . ! ! !" ! !# $!2%& 2 sin% 2%& /0 1' 2'% ! ! !" 3-( %&' 4+3-%,53%,#6#-(,%,#- ,)
!!"
!!!"# ! " !
$"
!
7&' 2$38&,63* )#*+%,#- #9 %&,) %$3-)6'-('-%3* '4+3%,#fHzL
0.5
1
2
-0.5
a=2
-1.0
)&#1) %&3% %&'$' ,) 3- #(( )#*+%,#- #-*: ,9
3
a = 0.5
z
a=1
!2
! ! !!!!!"!!!! # "
2!" 2
!
;#$<3*,5,-2 %&' #(( 13=' 9+-6%,#- 2,=')
!"##"#$%
%
&'$(%
!"#$%$&'()*+',-$
#
! ! ! ! ! $ ! ! " " # #" ! $
"
$
"
"#
"'
"#
%"&" #" $ (
"
$
'
"'
# $%&' " &" #" $ $
"
$
#
'
%""&" #"
""&'
(
%""&'
%""&' % !
"
" %
! $
$ $
$%&' "&' " ' * $ $
)
"&
$%&' " &' '& "&
"&
"
!
"
# "
#
""&' %
"#&' $ %&' " %" &' $ %"&' " %""&'
%""&' %
""&' $ $%&' "&' (
" %
! $
!$
! $
'
"
& '&
& '&
" $%&' " &' *)
%&' " %" &'
"
! % "#&'%
! $ '
& '&
""&'
"
+!$ !
&
"
"
"%
$ ! " %""&'
&'
# $ "! " % # (* ! $
*)
#
"
"# &'
"
"
" %" &'
"
"
# (* !
*)
" % "! " "&' $ %"&' (
*
'
& '& "! $ %"&' " *)
"
#
"! $ %"&'
"! " "&' $ %"&'
"#$!%&&!'%()*+%,!+'!
!
#
"%e'x !"""!!!!!!!x $ "(
%
#$%& 'x
%
!""!!!"( $ x $ (
! !!! "dd ! x " = $ %e" '(
2
#$%&
'(
%
%
%e" 'x !"""!!!!x % (
&
'
2
%=
"( & e2'(
"( " 2'( & e2'(
!
-'!'#%.,!/$(%.!
yHxL
0.5
-4
xêa
2
-2
-0.5
!
"#$0$!-0$!*.%!/%),&!'*-*$'!+1!!! ! ! ! !!" ! 2!/)*!%,(3!%,$!/%),&!'*-*$!+1! ! ! ! ! !!" ! !
!
4567!!"#$!')8$08%'+*+%,!'*-*$!+'!
!
!
! !t " #
"! #"i"!t ! $
"" #"i""t ! !
"
"
!
"#$!.-9$!1),:*+%,!0$80$'$,*-*+%,!+'!
!
! ! !!" " #
!
!
!"11"12%
#
"
"
"" ! ! " ##$%"" ! $
" # ! ! " ##$%#"
#
#
"
&
!
#$! #$%#" ! (
% $! #$%"" !
$ $%&
#
'&$%& & #
*)
&
%
!
&'2(%
!h. % &olutions
!"#$%&'($)*+$+,-+.)/)&"'$0/12+$"%$)*+$3"3+')234$
! ! ! "" # ! ! "" #
1
1
" 1
%
" 1
%
!#
#1 $%#1" ! $
#2 $%#2" ! &!! !!! #
#1 $(%#1" ! $
#2 $(%#2" ! & $
2
2
$ 2
'
$ 2
'
1
! )* #1 ! #1 $ #2 ! #2 $ #1 ! #2 $%" #1 (#2 #" ! $ #2 ! #1 $(%" #1 (#2 #" ! +,
2
$
!
5*+$6+72&6+($&')+86/19$/6+4$
!
"
$
'
'
# &! " $ # &
&&
#
&$
! #" ! #" ! ) ! "! " $ # % "%! ( ! " " $ # &$ !! "%! ) ! "! " $ # % "
"
"
$
$ &$ ('
&$ '
'
# &! " $ # &
&&
#
&$!
! #" ! #( ! ) ! " $ # % "%! ( ! ( " $ # &$! ! "%! ) ! "! " $ # % (
"
"
$
$ &$ ('
&$ '
'
!
"(
$
!
"
!
5*+$%&69)$&')+86/1$&9$:29)$)*+$+,-+.)/)&"'$0/12+$"%$)*+$3"3+')23$&'$/'$+'+68;$+&8+'9)/)+4$
!
n
$
&
# %" " $ # &
# & # n* $ & # n* &
# n* $ &
%$
! !i! ) " n! " $ # % n
!
!i!
$%& %
! % ( !'($ %
!%$
(
(
)
"
"
$ & ' $ &'
$ & ('
$ %$ '
&
&
# # n* & # & & + # # n* $ & .
! !i! % ( %
( $%& %$
( !"
& ' 0/ "
& $ & ' $ #n* ' -,
$
!
#*&.*$&9$<+6"$/9$+,-+.)+(=$$5*+$9+."'($&')+86/1$&9$
!
"#
'
# &" " % # &
# ' # "* % & # #* &
# #* % &
'($ %
&%
&%!
! !$! ) " "! " % # % #
!
!$!
$%n %
(
(
%
(
)
"
"
$ ' '$ ' '
$ ' ('
$ &% '
'
! !$!
# # #* & # ' & *
% ( % ( $%n " "( # '($ " #( # &(
' $ ' ' $ * ' )"
*
$
# # #* & # ' & + '($ " " ! # # ( '($ " " $ # # ( .
! !$! % ( % ( - !
!
0
# "" ! # #
# " " $ # # /"
'$ ' '$*',
! !$!
$
.
# # #* & # ' & + '($ " " ! # # * '($ " " $ # # *
)
)
!
$
$
%$ (' %$ (' - !
0
* ,
# "" ! # #
# "" $ # #
' '
# "" ! # # # "" $ # # /
"!#
"$#
!)#
!)# .
## + "
#"#
"
"
+) ! " !)#"$# .
! !$! - #
!
!
0 ! !$!
#
#
# ,
/
# " " ! # # # " " $ # # 0/
' -, " ! #
' " !#
"
#
>"6$)*+$9)/)+9$&'$72+9)&"'9$#+$8+)$
! !! !
$
!
!
!"
"
!! !
!#
!"
"!
$! $
%#
/'($)*+$6+921)$&9$
!"##"#$
&'$(
!"#$%$&'()*+',-$
1
# ! 1 $ ! 2 $ ! 12 #i" %1 "%2 #t ! $ ! 21 #"i" %1 "%2 #t ! %
&
2$
4! # "i 3) 2 !t 2 '&2
#! "i" %1 "%2 #t ! %
1 # #! i" %1 "%2 #t !
$i 3) 2 !t 2 '&2
%!
!
i
#
"i
#
#
"
#
! 'i
(&
&
3& $
3&
2 $ 3&
! ! ! "t # ! ! "t # !
!
!
#! * 3) 2 ! !
&'(
t
3& ,+ 2'&2 /.
!
"#$%!&'(!)*+,-./0!1*,-232*,!(4+.32*,5!./(!
!!"# ! "$ # % " # $!"# ! "% # % " $ % &'! ! "% # % "
"$ ! &'! ! "$ # % " # "% $ &'! ! "% # % " ! "%% !"# ! "% # % " !
!
$!"# "% # $ % &'! "% # # (
6*78(!3'(!3'2/-!(4+.32*,!9*/!!!.,-!5+)5323+3(!2,3*!3'(!*3'(/!3:*;!
! ! !"
!"# #$ $
%&! #$ $
!"# #$ $
%&! " #$ $ $ #
!
%&! #$ $
!"# #$ $
#' % %&! " #' $ $ # ! #$ " %&! " #$ $ $ # $ #$ "
!"# " #$ $ $ #
%&! #$ $
%!"# " #' $ $ # ! "!"# " #$ $ $ # ! "
!
6*78(!3'(!5(1*,-!(4+.32*,!9*/!"!.,-!5+)5323+3(!2,3*!3'(!3'2/-!(4+.32*,!<9*/!3'(!=*=(,3>!7(3!
! = !1 " 2 !.,-! ! ! !! " ! !3*!5.8(!2,?@;!
!!"
!
sin !
sin 2 ! %os !
#"
sin "
%os 2 ! sin "
$ sin ! sin 2 ! %os ! '
sin 2 !
#' %os " &
#
sin !
! #2 %os ! " #2
)
%os 2 !
% sin " %os 2 ! sin " (
!
A.13*/2,B!*+3!5*=(!3(/=5!.,-!1/*55!=+732C702,B!B(35!
!
$ $%& 2 " "#$ " '
$ $%& 2 " $%& " '
!1 "#$ ! $%& " &1 #
! !2 "#$ " $%& ! &1 "
)
)!
% "#$ 2 " $%& " (
% "#$ 2 " "#$ " (
D*:!,*3(!3'.3!
!
$ !"# ! %&! ! %&! !
$ %&! $ !
!"# $ ! %&! !
!
!
%&! $ ! !"# ! %&! $ ! " !"# $ ! !"# ! %&! $ ! " !"# $ !
!"# $ ! !"# !
$ !"# ! %&! ! !"# !
$ !"# $ !
!
!
%&! $ ! %&! ! %&! $ ! " !"# $ ! %&! ! %&! $ ! " !"# $ !
!
5*!3'.3!
!"##"#$%
%
&'()%
!"#$%$&'()*+',-$
!
# "#$ % " &'" " &
! &'" % " ! "#$ % "
!!
% &'" % "
!
!
!
!
!
!
!
% &'" % " "#$ " (
%
%
%
%
%
&'" " ! "#$ "
&'" " ! "#$ "
&'" " ! "#$ % "
$
'
# "#$ % " "#$ " &
&'" % " " "#$ % "
!
% "#$ % "
!
"
!
!
!
!
"
% &'" % " &'" " (
%
%
%
%
%
&'" " ! "#$ " &'" " ! "#$ " &'" " ! "#$ % "
$
'
!
"#$%!%$&'($)$*%!+#*!',*-$./%!*0',*%%$.n2!and!%/5%+$+/+$n6!5a78!$n!+#*!*9/a+$.n%!).,! ! !and!
! !,*%/(+%!$n!+#*!,*%/(+an+!+,an%7*nd*n+a(!*9/a+$.n!!
!
k! "#$ ( k! " % ) $&' ( k% " % ) + k% "#$ ( k% " % ) $&' ( k! " % ) = ( !
!
:;<=!!>.,!+#*!7a%*! ! ! "! 2!+#*!%.(/+$.n!$n!+#*!,$6#+!#a()!.)!+#*!?*((!$%!a!,*a(!*0'.n*n+$a(2!%.!
+#*!)/((!%.(/+$.n!$%!
!
"$
#sin $$ ", ' $ " $ % (
!! ! "" # #
!
&sinh
'
"
%
C
cosh
'
",
%
(
$
"
$
%
(
(
%$
?#*,*! !! ! !" "#" ! $ # ! ! !$%!+#*!d*7@!(*n6+#!$n!+#*!,$6#+!%$d*!.)!+#*!?*((;!!"#*!+#,**!
!
5./nda,@!7.nd$+$.n%!a,*!
! ! ! " ! " " ##$% ! $& " ! " # %#$%' ! &! " ! " $ ' ()#' ! &! " ! "
!
(! ! ! ) "
" $& # ()# ! $& " ! " # &! % ()#' ! $! " ! " $ &!' #$%' ! &! " ! " !
() )# " !
! ! ! " " " %#$%' &! " $ ' ()#' &! " # *
A.(-*!+#*!+#$,d!*9/a+$.n!).,!!!and!%/5%+$+/+*!$n+.!+#*!.+#*,!+?.B!
! = !"
!
!"#$ #% $
&'!$ #% $
!"#$ #% $
&'!$ ( #% $ % )
!
&'!$ #% $
!"#$ #% $
&( % &'! ( &( $ % ) = #% " &'!$ ( #% $ % ) ! #% "
!"#$ ( #% $ % )
&'!$ #% $
%!"# ( &( $ % ) = "!"#$ ( #% $ % ) ! "
A.(-*!+#*!%*7.nd!*9/a+$.n!).,!"!and!%/5%+$+/+*!$n+.!+#*!+#$,d!*9/a+$.n!C).,!+#*!&.&*n+2!(*+!
! ! !! " " !and! ! ! !2 " 2 !+.!%a-*!$n8DB!
!!"
!
!"#$ !
!"#$ % ! &'!$ !
#"
!"# "
&'!$ % ! !"# "
$ !"#$ ! !"#$ % ! &'!$ ! '
!"#$ % !
#( &'! " &
#
!"#$ !
! #% &'!$ ! # #%
)
&'!$ % !
% !"# " &'!$ % ! !"# " (
!
>a7+.,$n6!./+!%.&*!+*,&%!and!7,.%%!&/(+$'(@$n6!6*+%!
!"##"#$
&'(#
Ch. % Solutions
$ $%&' ( " "#$' " '
$ $%&' ( " $%&' " '
!! "#$ ! $%&' " &! #
! !( "#$' " $%& ! &! #
)
)
% "#$' ( " $%&' " (
% "#$' ( " "#$' " (
"ow note that
% !"#$ ! &'!$ ! &'!$ !
% &'!$ % !
!"#$ % ! &'!$ !
!
!
&'!$ % ! !"#$ ! &'!$ % ! + !"#$ % ! !"#$ ! &'!$ % ! + !"#$ % !
!"#$ % ! !"#$ !
% !"#$ ! &'!$ ! !"#$ !
% !"#$ % !
!
!
&'!$ % ! &'!$ ! &'!$ % ! + !"#$ % ! &'!$ ! &'!$ % ! + !"#$ % !
so that
# "#$% & " '("% " &
& '("% & "
! '("% & " + "#$% & "
=
!
!
=
!
!
% '("% & " "#$% " (
'("% & " + "#$% & "
'("% & " + "#$% & "
$
'
# "#$% & " "#$% " &
'("% & " ! "#$% & "
& "#$% & "
!
!
=
=
!
!
% '("% & " '("% " (
'("% & " + "#$% & " '("% & " + "#$% & "
$
'
This simplifies the previous expression, and substituting bac: in the equations for ! and
! results in the resultant transcendental equation
!! "#$ ! !! " % " $&n( ! #% " % " + #% "#$( ! #% " % " $&n ! !! " % " = )
"ote that this is similar to <q. >?.@A?), for the case ! ! "0 , with the change that the trig
functions of the second wave number are changed to hyperbolic trig functions because
the wave is a real exponential in that region. This can be done formally with the change
!2 ! "#2 .
?.3E The update equations are
! # # 2! ! &
2
# #! &
! ! " " ! "" # = ! ! " " # ! % ! ( "" ! %
"" #
2 ( "
$ #" ' "
2 $ #" ' "
,
! )# # 2! ! & # # 2! ! &
# #! ! &
# #! ! &
=
!
!%
+%
. ""
('
('
%$
%$
2 (
2 (
#" "!""
#" " 2 +*$ #" ' " $ #" ' "!"" .where the second derivative comes from the energy eigenvalue equation:
! !! " ! # "
!$
# " ! #$ " " % ! # " %& ! " ! # "
!
!
! !#
Gor a finite square well, we defined the dimensionless parameter
""#! $ "
!! !
!"
!/11/12
&'32
!"# % &'()*+',!"#$%&'(#"&)*+*,-'-+,&/-&+-0*"'&'(-&"-01$2&2-+#3*'#3-&#$&*&2#,-$"#1$4-""&5*"(#1$&51+&6"-&
1$&'(-&01,)6'-+7&
&
! !! " ! # "
$"!
$"!
#
"
"
"
&
#
!
#
#
"
!
"
!
"
#
%
& "
!# !
% !&" $
%!
! !! " ! # "
! ! # %"
!
# " & ! #" %
# "$ ' "
!" ! #"
&" (&
$ &"
# " & ! #" %
'& " & (! " ! # "
$ "
" &
&
!
"
8(-& 9*'(-,*'#0*& 012-& '1& #,)4-,-$'& '(#"& /#'(& 2#,-$"#1$4-""& )1"#'#1$& *$2& -$-+%:&
; !"#$%% ! ! &! ! ! '!" ! " "() " <&#"&
!!
" "
##
"#!=!%&&'!()!*+,,-.!/."-012!,3!#,0"1-!)4!
5!=!6,0"789:;.7%<="#)>?@<89:;.7&<="#)A?@<89:;.7%<="#)>?@@'! ()!/.30".!#,1."109;!B.;;!)4!
C&!=!D'!
()!-.1!B.;;!#9E9F.1.E!)4!
GHI.--!=!%JK&K%&DLAMDNOD'!
()!*+,,-.!HI.--!3,E!.".EH2!)4!
/P!=!%N"#'!!
()!-.1!#,-010,"!/."-012!)4!
3!=!89:;.7&<!=0<!%A)"#?@'!!
()0"0109;0C.!9EE92!3,E!B9Q.!3I"*10,"!)4!
3#!=!!89:;.7&<!=0<!%A)"#?@'!!
()0"0109;0C.!9EE92!3,E!B9Q.!3I"*10,"!/.E0Q910Q.!)4!
377%@@!=!&'!!
()!-.1!B9Q.!3I"*10,"!1,!C.E,!39E!3E,F!B.;;!)4!
3#77%@@!=!!L)%&RS%O'!!
()!-.1!/.E0Q910Q.!1,!30"01.!Q9;I.!39E!3E,F!B.;;!)4!
T,7!!
()!/,!;,,#!)4!
!!3##%!=!SC&RA)(GHI.--!S!5770@@4)3770@@'!!
()!*9;*I;91.!A"/!/.E0Q910Q.!91!P!)4!!
!!3770U%@@=3770@@U3#770@@)/P!U%NA)3##%)/PRA'!
()!I#/91.!B9Q.!3I"*10,"!91!P!U/P!)4!!
!!3##A!=!SC&RA)(GHI.--!S!5770U%@@4)3770U%@@'!
()!*9;*I;91.!A"/!/.E0Q910Q.!91!P!U/P!)4!
!!3#770U%@@!=!3#770@@!U!%NA)(3##%!U!3##A4)/P<!
()!I#/91.!%-1!/.E0Q910Q.!91!P!U/P!)4!
=0<!%<!!V."H1+73@!S!%?@!!
()!."/!/,!;,,#!)4!
V0-1W;,17=3<!5?<!W;,1X9"H.!SY!=S&J%<!%JA?@!!
()!#;,1!B9Q.!3I"*10,"!)4!
&
8(-&-$-+%:&)*+*,-'-+& !"#$%% &#"&16+&%6-""&51+&'(-&-$-+%:&15&*&2-"#+-2&-$-+%:&-#%-$"'*'-=&&>$&
'(#"&)+1%+*,,&/-&0(*$%-&'(-&3*46-&15& !"#$%% &,*$6*44:&*$2&411?&*'&'(-&16')6'&)41'&'1&2-0#2-&
/(*'&'1&21&$-@'=&&>5&'(-&-$-+%:&%6-""&#"&041"-&'1&'(-&+#%('&3*46-,&'(-$&'(-&/*3-&56$0'#1$&
/#44&2-0*:&'1&A-+1&16'"#2-&'(-&/-44&*$2&'(-$&2#3-+%-&5*+&5+1,&'(-&/-44=&&B:&*2C6"'#$%&16+&
%6-"",& /-& 0*$& ,13-& '(-& 2#3-+%-$0-& )1#$'& 5*+'(-+& */*:& '1& %-'& *& D-''-+& -"'#,*'-,& *"& #$&
E#%=&F=2H=&&8(-&#$#'#*4&2-+#3*'#3-&3*46-&#"&*2C6"'-2&'1&,*?-&'(-&+-"64'*$'&/*3-&56$0'#1$&15&
1+2-+&6$#':=&&E1+&'(-&%+16$2&"'*'-,&'(-&+-"64'*$'&/*3-&56$0'#1$&51+& !"#$%% ! 1"#0#1""" z02 &#"&
f,V
0.8
0.6
0.4
0.2
x
-a
a
&
8(#"& +-"64'& ,*'0(-"& '(-& 1=J1& #$& KL=& ;F=JH<=& & E1+& '(-& n"M&N& "'*'-,& /-& 0(11"-&
!"#$%% ! 2".$%&'( &%2 &*$2&%-'&'(-&/*3-&56$0'#1$&
!"##"#$%
%
&'((%
!"# % &'()*+',f,V
0.5
-a
x
a
-0.5
-1.0
"# $% &$'( )(*+,-.(
)(/0 123 4355 6"7"83937 !: $#
" " #$$%&# # #&# "$%#'" " #
""#! $ "
!! !
!
! '%#(
"
"
!
$"&!&#'" "! #
"
!
42$-2 '$;3# < =>?%@ #9"93# "# 43 A>?%@ $% B7>=538 )(0C( D#$%' 923 E"9238"9$-" ->@3
A7>8 B7>=538 )(/:F 43 '39 923 '7>?%@ #9"93 A?%-9$>% "%@ 3%37'G
"
!"u$%% ! 1.#77 &0&
12$# '$;3# "% 3%37'G
"!#'"$&n( #! # ! "$!)'$&
'#!#
!#
!! ! !"#$%%&" ! !"#$%% " # ! !$%&&
! !$%&&
#
#
#()
#()
# " (!!+$& # "!$(n( # #
!
#
"%@ " 4";3 A?%-9$>%
f,V
0.8
0.6
0.4
0.2
-a
a
&>7 923 A$7#9 3H-$93@ #9"93F 923 %?837$-"5 $%93'7"9$>% '$;3#
x
!"#$%% = !"##$ &%&
!"##"#2
&'()
!h#$%$&'()*+'n-$
!"#$"$%&'#
"!#("$&*( #! # ! "%')($& #
'"# ! #
!#
!! ! !"#$%%&" ! !"#$%%
! $%&&'
! $%&&'
#
#
#
#()
#()
# " '!!+$& # "!%'*( # #
!
#
#
!"(#!#)!*$#+,"-./0"##
f,V
0.5
-a
x
a
-0.5
-1.0
#
1"#2%0b4$5#6789:#)$#+0,"(#.;!.#.;$#.%!"<-$"($".!4#$=,!./0"#&!*$#.;$#!440)$(#$"$%&/$<#
#
! ! !"#$%&'())!"*$*&'())#"#+,&'())-"#!+&'())$"-%*&'())%"*-*&' #
<0#.;$%$#/<#&00(#!&%$$5$".7#
#
67>?##@;$#)$44#A!%!5$.$%#!B#/<#C"0.$#.;!.#.;$#)$44#)/(.;#"#D#?#E#
" " !#!$% ! &''%&# # !#'&# " ' " (" # " #
""#! $ "
#
!! !
!
! !#"!)$!' " (" # #
"
"
!
'"(!&#(" "" #
"
!
F0%#$G!5A4$:#);$"#.;$#)$44#)/(.;#/<#?B#"5:# !0 = "#1%3 7##@;/<#&/*$<#.;%$$#<04,./0"<#.0#.;$#
.%!"<-$"($".!4#$=,!./0"<#
"
#
! !"# ! ! " # !02 ! ! 2 !!!"!!!! # 1'2()*!+'(,+
!! -.! ! ! " # !02 ! ! 2 !!!"!!!! # 2',02!
#
!"(#$"$%&/$<#
!! "!
#
!=
= "#$!%&'( *+#,!%&'( -,#.!%&' #
!#$ !
!
H</"&#)$44#</I$<#+%05#?#.0#?B#"5#&/*$<#.;$#%$<,4.!".#A40.J#
!"##"#$%
%
&'(&%
!"#$%$&'()*+',-$
Energy HmeVL
100
80
60
40
‡
Ï
‡
Ê
Ê
†1\
†2\ ‡
†3\
Ï
Ï
‡
‡
Ê
‡
Ê
Ê
20
5
Ê
10
Ê
Ê
15
Ê
‡
Ê
20
Well width (nm)
!
!
5.$$!!%&'!()*+,!-.'!,&*/0!1')*/2!
E,y
E11
E4
x
!
%&'! /-3'! 4506+7*0! 7,! *,67))-+*.8! 70! +&'! 6)-,,76-))8! -))*/'9! .':7*0,! -09! ';(*0'0+7-))8!
9'6-870:! 70! +&'! 4*.1799'0! .':7*0,,! 9'=-.6-+'9! 18! +&'! 9-,&'9! )70',.! ! >0! '-6&! 6-,',! +&'!
05=1'.! *4!-0+70*9',!70!+&'! /-3'! 4506+7*0!'?5-),!+&'! (.7067(-)!?5-0+5=! 05=1'.!!.!!@*.!
!"#11,!+&'!/-3')'0:+&!70!+&'!.7:&+!(-.+!7,!)*0:'.!1'6-5,'!+&'!(*+'0+7-)!7,!&7:&'.,!-09!+&'!
-=()7+59'!7,!706.'-,'9!+&'.'!-),*.!
!"11"12%
%
&'3!%
!"# % &'()*+',-
E,y
E10
E5
x
!
!
"#$! %&'$! ()*+,-.*! -/! ./+-00&,.12! -*! ,#$! +0&//-+&002! &00.%$3! 1$4-.*/! &*3! $56.*$*,-&002!
3$+&2-*4! -*! ,#$! (.17-33$*! 1$4-.*/,! 3$9&1+&,$3! 72! ,#$! 3&/#$3! 0-*$/:! ! ;*! $&+#! +&/$,! ,#$!
*)97$1! .(!&*,-*.3$/!-*!,#$! %&'$! ()*+,-.*!$<)&0/!,#$! 61-*+-6&0!<)&*,)9! *)97$1!!:!!=.1!
!" 10,!,#$!%&'$0$*4,#!-*!,#$!+$*,1&0!6&1,!-/!/#.1,$1!7$+&)/$!,#$!6.,$*,-&0!-/!0.%$1,!&*3!,#$!
&960-,)3$!-/!3$+1$&/$3!,#$1$!&0/.!@.*02!/0-4#,02!-*!,#-/!+&/$A:!
!
B:3D!!E0.,/!7$0.%!
!
E,y
x!
F0&//-+&002!&00.%$3!&*3!(.17-33$*!1$4-.*/!&1$!3$9&1+&,$3!72!,#$!3&/#$3!0-*$/!%#$1$!,#$!
$*$142!.(!,#$!/,&,$!$<)&0/!,#$!6.,$*,-&0!$*$142!@#$*+$!G-*$,-+!$*$142!-/!H$1.A:!!"#$!/,&,$!
&7.'$!#&/!11!&*,-*.3$/!/.!-/!,#$!!!I!11!/,&,$:!!"#$!!!I!10!/,&,$!-/!/#.%*!7$0.%:!
!"##"#$%
%
&'()%
C"#$%$&'()*i',-$
E,y
x!
!
!
!
!
!"##"#$%
%
&'()%
!"#$%$&'()*+',-$
!"#$ %&'$ '($ )*+$ *,$ )&$ -.'$ /01,)02$ 3*1-&4$ &5$ 3&'$ !"#$% ! &' ! $ 6.'0'$ /5&&178'"$ $ $ 950$ )$
*5*0'8)-1:1&-1;$/)0-1;8'$
!!"#$%&'(" !
$
)-
)
)
)!
!
*
!+,
!+- ! ,
!+- ! "! +. !
!
)$
+- " . - #
!
)<$=$'($'8';-05*$
#$
"!#$!'( !)%
!!" !
!
! $'("!)% $
!
!"%""!*'(
"&'(
&
!%$
!
$
7<$>$?'($/05-5*$
#$
"!#$!'( !)%
!!" !
!
! ")" " "$ #* !)% $
!
!"%&'!*'( "(!*'(
!%$ &
!
;<$@AA$,B&$C!A$D3;E27)88$
$
#$
"!#$!'( !)%
!!" !
!
! !)* " "$ #' !)% $
!
(
%$ " & $ # " %$""!"&'(!*'( # " !$$ ' " "$ #
!
+<$055,$-',/'0)-30'$5F2G'*$,58';38'$H@$
$
$
!"#$%&'(
!
!)*+
!)*+
!""#$%&'( ! %) "* !$- ."'))!.
!
!,
!,
! %#'%! ! %) "$ !, $
!
&
&,
" !"%$"+'"!/$- #
#$
"!#$!'( !)%
!!" !
!
! $)$'"!)% $
!
%$ " & $ # " !""%"&'(!*'( # "")'"! " "$ #% #
!
'<$0)1*+05/"$$I&&3,'$@$,,$+1),'-'04$-'0,1*)8$:'85;1-2$!$,B&$
$
.--/JBB666"&.50&-,'2'0";5,B6FK)L&BK85)-B0+-)78'".-,8$
"
#
$
!"#$%&"'( ! !" ! " " ")#*+" ! !" ! " #$%!,! # %!- ,! " ! #$##!%&!- $
$
#
!"!#! " $% #&' !& !'
!!" !
!
! #"!' " $% ##% !*$ $
#&
$%
%"%%'$( " $% !() " ! !$ ' #
"
"
#
K<$/'0&5*"$$I&&3,'$#AA$EG4$#$,B&$
$
#
!"!#! " $% #&' !& !'
!!" !
!
! !"!& " $% ##( !*$ $
$% "$%%!() # "$!$ ' #
M.'$ 6):'8'*G-.$ 1&$ -2/1;)882$ 1,/50-)*-$ 1*$ 1*-'0K'0'*;'$ )*+$ +1KK0);-15*$ 'F/'01,'*-&"$ $ N*$
1*-'0K'0'*;'$'F/'01,'*-&4$-.'$-65$/)-.$8'*G-.&$,3&-$7'$&-)78'$-5$8'&&$-.)*$-.'$6):'8'*G-.$
-5$&''$K01*G'&"$$N*$+1KK0);-15*$'F/'01,'*-&4$-.'$+1KK0);-15*$)*G8'$1&$G1:'*$72$!B!4$6.'0'$!$1&$
-.'$&1O'$5K$-.'$+1KK0);-1*G$57P';-"$$N*$-.'$K10&-$K530$;)&'&4$L3)*-3,$'KK';-&$;)*$7'$&''*4$1*$
-.'$8)&-$-654$-.'2$6538+$7'$'F;''+1*G82$+1KK1;38-"$
$
!"##"#$%
%
!&#%
!"#$%$&'()*+',-$
!"#$$%&'$()*$+,-.&/01&20,+$0+2*3-&/$04$
#
! ! ! ! ! $ ! " ! # "! ! $
$
"
"#
#
"#
#$" !
"
"
%"
"! ! #
"
$
#
"#
$"" !
"
%"
%
$
"
"! ! # %
"
3050+3$2)*$+,-.&/01*6$7&5*$89+:20,+$$
# ! &
! ! !" # % ! (
$ "" '
$
"#
#) !
!
"!
$
%;'$()*$*<=*:2&20,+$5&/9*$,8$=,4020,+$04$
$
#
! ! ! !! !$ !
!
"#
#
" ! # !!! " ! # "! ! $"# ! ! " ! #
"
& " )
"! ! ( " +
' %# *
#"
$
#
"#
!$"" !
"
#"
"! ! $ $
;*:&94*$2)*$0+2*3-&+6$04$,66$&+6$2)*$0+2*3-&20,+$0+2*-5&/$04$*5*+"$
%:'$ (,$ 80+6$ 2)*$ 9+:*-2&0+2>?$ 7*$ 80-42$ +**6$ 2)*$ *<=*:2&20,+$ 5&/9*$ ,8$ 2)*$ 4@9&-*$ ,8$ 2)*$
=,4020,+A$
!
$
!
#
! ! ! ! !$ !
!
"
"#
& ! )
!( !+
' %# *
#!
!
"
! #
#
" !# !
$
$
#
%
!
#
!! " ! # "! ! $ ! ! " ! #
!
!
"#
! " %!
%$
& ! )
"% ! ( ! +
' %# *
#!
& ! )
"! ! ( ! +
' %# *
#!
$
#
"#
! ! $"! !
!
#!
"!
$
!# $ % # !
!
&
! ! &
()*$9+:*-2&0+2>$,8$2)*$=,4020,+$04$
!! !
$
!! " !
!
"!
"
"# ! $
"
!
!
%6'$$()*$=-,;&;0/02>$,8$80+60+3$2)*$=&-20:/*$0+$2)*$-*30,+$;*27**+$B$&+6$!$04$
P!!!!" " " ! # ! $ #! " "
"
"
!
$
$ " '
"& ")
% #" (
"
!
#"
#
#
" "
$ " '
&% " )(
#"
$"
!
"
$
* %"
"
#$
$
* ! " ""
#
#% "
#
$ " '
#! " & " )
% #" (
"
"
!
$
* %"
#"
"
"
!
$*" !
"
""
#!
$
#%
()04$0+2*3-&/$:&+$;*$/,,C*6$9=$0+$&$2&;/*$&+6$04$,82*+$:&//*6$2)*$*--,-$89+:20,+?$6*80+*6$;>A$
$
!"# ! $ " #
!
!
#
$
"
!"% &% $
!
()94$7*$3*2$
$
P!!!!" "
"
#$%
#
# #$ $
D-,.$2)*$EFE$)&+6;,,C?$7*$)&5*$
!"##"#$%
%
!&$%
!"#$%$&'()*+',-$
!"# ! $ " # !%
!
"
!$ ! "
% ! ! " # #$%&&'
!
!"#
! ! " # ! ! #$%&&'" ! " # #$%()*
!
"#$%&#'(!
P!!!!" " !"#$$% !
!
)$*!!+,$!-%./0!.1!/,$!234$!15'6/#.'!3'&!-7.838#%#/"!&$'0#/"9!
PHxL
yHxL
yHxL ∂ e-x
-2 a
2
ëa2
yHxL ∂ e-x
2Dx
2a
x
-2 a
!
)1*!+,$!$:-$6/3/#.'!43%5$!.1!;.;$'/5;!#0!
!
-a
a
0
$&
#
# " &
! ! ! ! ! ! * ! " " # % "#! ( !! " " # $" ! " "#! # % " (
")
$
$ +% '
$" '
)
!
ëa2
2Dx
a
-a
2
#"
!
2a
x
!
# """ & "" " "
(&
%
") $ % " '
*
)
%"
$" ! $ !
8$6350$!/,$!#'/$(73'&!#0!.&&!3'&!/,$!#'/$(73/#.'!#'/$743%!#0!$4$'<!
)(*! +.! 1#'&! /,$! 5'6$7/3#'/"=! 2$! 1#70/! '$$&! /,$! $:-$6/3/#.'! 43%5$! .1! /,$! 0>537$! .1! /,$!
;.;$'/5;9!
)
#
#! &
! ! ! ! ! ! ! ! * ! " " " # % "! ! ! ( !! " " # #"
")
#" '
$
# ! &
! "! % ! (
$ +$ '
"
!
!
#
#!
# $" ! ! & "! " !
*") %$ $ $ " $ ! (' %
# ! &
! "!! % ! (
$ +$ '
#!
# ! &
! "!! % ! (
$ +$ '
#!
"
"
!
!
#
#
)
#
%
% $$
$
"
$
! $
#
*
%
)
&
$!
! " &!
&%
#"
#& "
$!
"
!
! $
#*
)
&
%
" &!
&!
#&(
(
'
##
+
+ & !!
!
!
" !
$
! (' $ !
$ %$
!
+,$!5'6$7/3#'/"!.1!/,$!;.;$'/5;!#0!
!! !
!
),*!+,$!5'6$7/3#'/"!-7#'6#-%$!#0!
!
!"##"#$%
!! " !
!
%
!
!!
!
"" ! !
!
"
"
!&'%
!"#$%$&'()*+',-$
!
!!!" " !
!
!
!
"#!$%&'!()'*!+*!,*$!
!# !
!!!" !
! !
#! !
!
'-!$%&'!&'!)!.&#&./.!/#(*$)&#$0!'$)$*1!
!
!
!
2&&3!!4-5!$%*!'$)$*! ! ! ! " # "!#" ! $ 6!'&.&7)5!()7(/7)$&-#'!0&*78!
!
# ! &
! ! !" # ! % " (
$ "" '
9-5.)7&:*8!'$)$*;!
#$
!#) !
!
"!
!
! !!!
<=>*($)$&-#!?)7/*!-@!!;!
!! ! " ! " !
A-'&$&-#!/#(*5$)&#$0;!
P!!!!" " !"#$%# !
A5-B)B&7&$0;!
PHxL
yHxL
yHxL ∂ xe-x
-2 a
2
ëa
2Dx
2
a
-a
2a
yHxL ∂ xe-x
ëa2
2Dx
x
-2 a
!
<=>*($)$&-#!?)7/*!-@!";!
2
-a
0
a
2a
x
!
! ! !!
!!! ! ! ! " !
!!! ! !! " " ! " !
C-.*#$/.!/#(*5$)&#$0;!
D#(*5$)&#$0!>5-8/($;!
!
2&&&3!!4-5!$%*!'$)$*! ! ! ! " # " ! ! $ # ! 6!+*!,*$!
!
9-5.)7&:*8!'$)$*;!
"
! ! !" #
#
!" "
!
!
" ! $ "!
<=>*($)$&-#!?)7/*!-@!!;!
! !!!
A-'&$&-#!/#(*5$)&#$0;!
!! ! " !
A5-B)B&7&$0;!
!"##"#$%
P!!!!" " !"#!$% !
%
!&'%
!"#$%$&'()*+',-$
PHxL
yHxL
yHxL ∂ 1êHx +a L
yHxL ∂ 1êHx 2 +a2 L
2
2
2Dx
2Dx
-2 a
-a
!
"#$%&'(')*+!,(-.%!*/!!0!
a
x
2a
-2 a
-a
0
a
2a
x
!
! ! !!
!!! ! ! " ! !
1*2%+'.2!.+&%3'()+'40!
!!! ! !
5+&%3'()+'4!$3*6.&'0!
! " ! !!
!
789!!:;%!2*2%+'.2!%)<%+='('%!>%/*3%!';%!=;.''%3!)=!
!
!! ! ! !! ! " " #
"
#$ !! " " 8!
#" "
!
(?! ! @/'%3! ';%! =;.''%3A! ';%! B(,%! /.+&')*+! )=! -)2)'%6! )+! =$(')(-! %#'%+'8! ! :;%! $(3')&-%=! ;(,%!
,%-*&)'4! !! ! "! # A!=*!';%!-%+<';!*/!';%!B(,%$(&C%'!(/'%3!';%!=;.''%3!)=! ! ! "!! ! #!! $ 8!!
D%+&%!';%!+%B!B(,%!/.+&')*+!)=!
!
"
$
$
! ! !" # #
$
$%
!
!!!!!!!!!!!!!!!!!!!!!"!!!! $ !
# $ %! ! !
#
!!!!!!!!!!"!!!! $ ! $ " !
"
!!!!!!!!!!!!!!!!!!!!"!!!! % "
B;%3%!';%!+%B!=&(-%!/(&'*3!%+=.3%=!+*32(-)E(')*+!*,%3!';)=!/)+)'%!)+'%3,(-8!
>?!!:;%!2*2%+'.2!=$(&%!B(,%!/.+&')*+!)=!<),%+!>4!';%!F*.3)%3!'3(+=/*320!!
!
! ! !" #
"" !
!
G%3/*32)+<!';%!'3(+=/*32!<),%=!
!
!"##"#$%
&
%
$%
%
# ! " " #$$ !" ! %" !
!&'%
!"#$%$&'()*+',-$
! ! !" #
!
"
"
#
!
#$ !# % ! ##$ !% ! "% #
"" !
!
!#% & "" !
#
!
$
!
!#% & "" !
!#% &
& #$! !# # ! " % ! )
(
+
' $ ! !# # ! " ! * #
#
#
#$! !# # ! " % ! "%
& #$! !# # ! " !#% &! # ! )
!
(
+
!#% & "" ! ' $ ! !# # ! " ! *
#$! !# # ! " !#% " &! & #$! !# # ! " !#% " &! # ##$! !# # ! " !#%
#
(
$ ! !# # ! " !
!#% & "" ! '
"#$! !# # ! " !#% " &!
#
!#% & "" !
!#% &
$
" &!
& $%& !! !# # ! " !#% "&! " )
(
+
! !# # ! " !
('
+*
)
+
*
!
!
"#$!%&%$'()%!*+&,-,./.(0!1.2(+.,)(.&'!.2!
P ! !" # ! ! !"
!
!
% $%& !! !# $ ! " !## !"! " (
"
#
'
*
! !" ! " !## " '&
! !# $ ! " !
*)
"
" !#!# ! "" ! % $%& !! !# $ ! " !## !"! " (
#
*
'
! !" ! " !## " '& ! !# $ ! " !## !"! *)
!
#
!
!
!
!
+ ! ! $ ! " !## .
!##
$%&' ! - #
0/
!" "!
!"!
,
"#$!2.'3!4)'3(.&'!.2!*$-5$1!-(! ! ! !! 6!-2!$7*$3($18!
!
98:!!"#$!$'$+;0!$.;$'2(-($2!.'!-!2<)-+$!=$//!-+$!
!! ! "" #
!
!
!" "
"#$
8!
#
#
>2.';!?<8!@98ABC6!(#$!%&%$'()%!2*-3$!=-D$!4)'3(.&'!.2!
!! ! " " # " " ! #
!
!"##"#$%
&
%
$%
" ! ! # " $$%"# ! &# #
!
!
"# !
&
'
&
"
!# # $%"# !
#$%
$
&#
'
'
"
#
!
"# !
" ! ' %!# # '
$
$ $$%!# # ' $$%"# ! &#
&
&
' "%
#
!
"# !
" ! ' $%!# $%"' ! $ !
$$%!# $%"' ! $ ! *
$
' "% )( %!# ' $ %" ! $%!# ' $ %" ! ,+
!
#
"# !
!
!
"# !
!
!
" !# ' ! $!" $$%"' ! $ ! *
,
)
' ' )( ! " ! "" $ ! !# ' "" ,+
!
! !# ! " ' ! $!" $$%"' ! $ ! *
#
)
" ,
# !' ' () ! " "" $ ! !# ! ' " ,+
%
!&!%
!"#$%$&'()*+',-$
!"#$%&#'%!%(%)*%
»fHpL»2
0.12
0.10
0.08
0.06
0.04
0.02
%
-20
0
-10
!"#$%&#'%!%(%+*%
p/(—/L)
10
%
»fHpL»2
0.06
0.04
0.02
%
!"#$%&#'%!%(%),*%
-20
-10
0
10
20
p/(—/L)
%
»fHpL»2
0.06
0.04
0.02
p/(—/L)
-60
-40
-20
0
20
40
%
%
-.% /012% 103/4% $2/% 5#5/.$65% 7'#8089"9$:% ;93$'986$9#.% 93% 3:55/$'91% 8/1063/% $2/'/% 93% .#%
7'/&/''/;% ;9'/1$9#.% &#'% 70'$91"/% 5#$9#.<% %=2/% 7'#8089"9$:% 93% 1#.1/.$'0$/;% ./0'% $2/%>0"6/3%
/?7/1$/;%&#'%0%@0>/%@9$2%@0>/"/.A$2% ! ! !! " %0.;%5#5/.$65%!! ! " ! ! #" ! $ <%
%
B<C%%D#'%0%&'//%70'$91"/4%$2/%1#556$0$#'%#&%5#5/.$65%0.;%$2/%E059"$#.90.%93%%
%
!#
! !# $ ! !#
!
!
!
"
"
'
! "# # " & # #
" ## % " ## ##
$
! & <%
%
-.%$2/%7#39$9#.%'/7'/3/.$0$9#.4%$293%93%'/7'/3/.$/;%8:%
!"##"#$%
%
!&'%
!"#$%$&'()*+',-$
$
$
$ #
$
#
$
$
! !" " " ! "$# !#" %'& "$# !#" %'& ! "$# !#" %'& "$# !#" %'&
$% $&
$%
$&
$%
$%
#" % $ % #" % $ %
!
$& $% % $& $% %
!&
!
!
!
"!
#$!%&'!()*%+(,%!+'-+'*'$%(%./$0!%&'!,/112%(%/+!.*!!
!
!
! !" " " # # !"
"
!# $ ! !#
!#
'
#
!
## &% #" ## ##
$ !$
!$
!& #
'
# % "!
% ## ##
3/!%&'!1/1'$%21!($4!5(1.6%/$.($!/7!(!7+''!-(+%.,6'!,/112%'"!
!
8"8!!9&'!,/112%(%/+!.*!4'7.$'4!):!.%*!(,%./$!/$!(!*%(%'!;',%/+! ! !(*<!!
! !"! "! " !
!
# !!"! ! " "! !! ! "!
#$! =(;'! 72$,%./$! 6($>2(>'! ?%&'! -/*.%./$! +'-+'*'$%(%./$@0! ='! 'A-+'**! -/*.%./$! (*! (!
126%.-6.,(%.;'! 7(,%/+0! !!! ! ! 0! 1/1'$%21! (*! (! 4'+.;(%.;'! /-'+(%/+! !! ! !"" # #$ 0! ($4! %&'!
*%(%'!;',%/+!.*!+'-+'*'$%'4!):!!! ! ! ! ! " "!!9&'$!%&'!,/112%(%/+!)',/1'*!
!
! !"! "! " !
$&
$&
#
#
! ! % "#" ( ! # ! $ " % "#" ( !! # ! $
$
$
$! '
$! '
! !"! "! " !
! "#"!
!
9&'!*',/$4!%'+1!+'B2.+'*!%&'!,&(.$!+26'0!:.'64.$>!
!
!
$! # ! $
$! # ! $
% #"!
% #"! # ! $ !
$!
$!
! #"! # ! $
9&.*!.*!;'+:!,6'(+6:!$/$CD'+/0!($4!%'66*!2*!%&(%!%&'!-/*.%./$!($4!1/1'$%21!/-'+(%/+*!4/!
$/%!,/112%'"!
!
#$! %&'! 1/1'$%21! +'-+'*'$%(%./$0! ='! 'A-+'**! -/*.%./$! (*! (! 4'+.;(%.;'! /-'+(%/+!
!!! ! "" # #$ 0! 1/1'$%21! (*! (! 126%.-6.,(%.;'! 7(,%/+! !! ! ! 0! ($4! %&'! *%(%'! ;',%/+! .*!
+'-+'*'$%'4!):! ! ! " ! ! " "!!9&'$!%&'!,/112%(%/+!)',/1'*!
!
!
! !"! "! " !
" $%
! $ #" ' "( # " $ )
# $" &
! !"! "! " !
! #"" # " $ % "#"
!
9&'!7.+*%!%'+1!+'B2.+'*!%&'!,&(.$!+26'0!:.'64.$>!
!
" $%
" $ #" ' ( # " $
# $" &
$" # " $
$" # " $!
# "#"
$"
$"
! #"" # " $
!
E>(.$0! %&.*! .*! ;'+:! ,6'(+6:! $/$CD'+/0! ($4! %'66*! 2*! %&(%! %&'! -/*.%./$! ($4! 1/1'$%21!
/-'+(%/+*!4/!$/%!,/112%'"!
!
!"##"#$%
%
!&'%
!"#$%$&'()*+',-$
!"#$%&'(#")*'*%)"+#,)*-#('.(/.'*%)"0#('"#,1#123&10014#'0#
! "! " ! # #! !
!"
!!
0)#*-1#()55/*'*)&#'0#'"#)31&'*)&#%0#&13&101"*14#'0#
#
!!
#
! "! " ! #"
!"
#
#
678##9-1#$%&'(#")&5'.%:'*%)"#()"4%*%)"#%0#
!!! !! ! " " !!! ## !! # 7#
#
9-1#%""1&#3&)4/(*#);#5)51"*/5#1%<1"0*'*10#%0#
$
$
!!! !! ! % " !!!! " " #" !! " " # #" ! % $!%#&!!!" ! $%&!!" ! #"
#$
#
! $
!
"
#$
%
$
#$
%
& " ! ! # ! !! # " !
7#
#"
9)#4)#*-%0#%"*1<&'.+#&1('..#*-1#41;%"%*%)"#);#'#=)/&%1&#*&'"0;)&5#3'%&# ! ! " " #'"4# ! ! " " #;&)5#
>?07#@$7ABC#'"4#@$7ADCE#
#
! ! "" #
!
"!
$
% #!$"%
#$
&$"
'$!!!!!!!!!!"!!!!!!!!!!# ! $ " #
!
"!
%
$
#$
%#&$" ! ! " " '" 7#
F)G#()"0%41&#*-1#%"H1&01#=)/&%1&#*&'"0;)&5#);# ! ! " " # ! ! " " " # " E#
#
! ! "" #
!
"!
%
& " ! # # #$" $
#%
%#"
&#!#!
! %# $"
$ 7#
"!
I1"(1+#*-1#=)/&%1&#*&'"0;)&5#%0#
#
! ! " " # ! ! " " "#" #
!
"$
&
%
"%
! $" #%
!
# &% #
"$
"$
#"$"%
&
%
"%
#$! " # "" " % &% 7#
J-'"<%"<#H'&%',.10#;&)5#G'H1#H1(*)&#*)#5)51"*/5#<%H10#
! + #" !# " !# $ !
$ ! !# '
!& " ) !
"
%$ #
% ! ! ( "* ,"+
!
'"4#/0%"<#*-1#&1.'*%)"# ! ! !" " # ! ! " " ! #&10/.*0#%0#
#
! % #! !" # !"" " $ !
! ! !"" # !" " #
"
%$ 7#
"$ ! &#%
!
I1"(1#*-1#%""1&#3&)4/(*#,1()510#
#
! !!! !! ! " !" !# " !!! $ !! # #
'"4# *-1# 5)51"*/5# 1%<1"0*'*10# 0'*%0;K# $%&'(# ")&5'.%:'*%)"# %;# G1# 01*# *-1# ")&5'.%:'*%)"#
()"0*'"*#*)#
#
!"##"#$%
!
%
!&'%
!"#$%$&'()*+',-$
!
!!
"!
"
!
!
!
#$%!&'()*+,-.%/&!*(*%'01*!%-2%'30+0%3!+)%!
!
!
! ! ! "" #
#$!" ! "!
"
"
!
!
45!6%!13%!0$%!6+7%!7%80()!%-2%'30+0%39!
!
! ! ! " " # #$%!" !
!
0$%!-''%)!:)(/180!-3!
$
! !! ! ! ! % " !!!! " " #" ! ! " " # #" ! $
!
"
#$
%
$
#$
%&" ! ! # ! !! # " #" ! $ "&' " ! ! # ! !! # !
"
#$%!;-)+8!'()*+,-.+0-('!8('/-0-('!-3!'(6!
! !! ! ! ! " " ! !! # ! ! # "!
!
+'/!<-%,/3!0$%!'()*+,-.%/!30+0%3!
! $!"
# "!
""
!! ! "" #
!
#$%! 06(! /-55%)%'0! 5()*3! (5! 0$%!%-2%'30+0%3! $+7%! /-55%)%'0! '()*+,-.+0-('! 5+80()3! =%8+13%!
0$%!;-)+8!/%,0+!51'80-('!$+3!1'-03!(5!>?+)21*%'0"!!@(*%'01*!+'/!6+7%!7%80()!/-55%)!=<!+!
5+80()!(5!!! A!3(!0$+0!/-55%)%'8%!-3!)%5,%80%/!-'!0$%!'()*+,-.+0-('!5+80()3"!
!
B"C!!D%)%!-3!+!:,(0!+3!0$%!3-/%!*(/%!3:+8-'2! ! ! !7+)-%3!
yHxL
yHxL
dpêp0 = 0.05
-dx
dx
dpêp0 = 0.06
x
-dx
yHxL
dx
yHxL
dpêp0 = 0.07
-dx
dx
dpêp0 = 0.08
x
-dx
dx
x
!
!
!"##"#$%
x
%
!&#'%
!"#$%$&'()*+',-$
!"# $%&# "'()*+,# ! ! #*+)-&("&".#$%&# "'($*(/#&0$&+$# ! ! .# 1&2*+&1#%&-&#("#$%&#/3)($*3+# 32# $%&#
*+$&-2&-&+)&#4*+*4(.#1&)-&("&"5#63#-&/($&#$%&#434&+$74#"'-&(1#(+1#$%&#'3"*$*3+#"'-&(1.##
+3$&# $%($#$%&# "'($*(/#*+$&-2&-&+)&#4*+*4(#(-&#/3)($&1#8%&-&#$%&# '%("&"#32#$%&#"*1&#431&#
8(9&"#(-&# ! #37$#32#'%("&#8*$%#$%&#)&+$-(/#"*+7"3*15##6%&"&#'%("&"#(-&#1&$&-4*+&1#:;#$%&#
"# % !
(-,74&+$"# 32# $%&# !! $ # $&-4"# *+# <=5# >?5@AB5# # C2# 8&# (""74&# $%($# $%&# 8(9&# '()D&$#
4(0*474.# 8%&-&# $%&# $%-&&# 8(9&"# (-&# *+# '%("&.# *"# ($# ! ! ! .# $%&+# $%&# 1&"$-7)$*9&#
*+$&-2&-&+)&#4*+*474#3+#$%&#-*,%$#*"#($# ! ! ! ! .#("#*+1*)($&1#(:39&5##63#)(/)7/($&# ! ! .#"&$#
$%&# '%("&# 1*22&-&+)&# :&$8&&+# $%&# 7''&-# "*1&# 431&# > ! ! !! " ! ! B# (+1# $%&# )&+$-(/# 431&#
> ! ! !! B#&=7(/#$3# ! #(+1#"3/9&#
" !! ! ! ! #! " " !!! " $ #
!
! !! "
$#
!
!! !! " $ # !
#
!
#
6%&# (+*4($*3+# :&/38# "%38"# $%($# $%&# 9&/3)*$;# 32# $%&# &+9&/3'&E$%&# ,-37'# 9&/3)*$;E*"#
$8*)&#$%&#9&/3)*$;#32#$%&#8*,,/&"#8*$%*+#$%&#&+9&/3'&E$%&#'%("&#9&/3)*$;5#
#
#
#
?5F##6%&#G(7""*(+#*+$&,-(/#*"#
$
#
$
! !!""# !
%" !
!
$ $ ' & *" $* $ #%
,*+ &% %"# % )( # '
+
& # % % $! ! *% $ % " % &!
#
#
'$ #
H3//&)$#$&-4"#*+#$%&#&0'3+&+$#$%($#(-&#=7(1-($*)#(+1#/*+&(-#*+#$%&#434&+$74I#
!"##"#$%
%
!&##%
!"#$%$&'()*+',-$
$
$ $ $ ' & * $'%
! !!""# !
&% %"# % )( #
%
"
!
!
!
,
&#%
+
*+
#
$ #
$ %! !" $' % # % * $ % $ & # % "%" % &!
#
$ '$ !
"#$!%&'!()*!+,*-./!01!2'0!
$
$ $ $ ' & * $'%
! !!""# !
#
%" ! &% %"# % )(
!
!
!
!
"
&#%
#* !
$ & # % " %" %&!
%#
$
! %"
$ " %%" # &!
%#
$
! %"
$ " %%" # &!
%
%
#* !
&#%
#* $'
%
#
%
% %
%
'
'
! % " $'% & # & "%$' ! !# %
! % " $'% & # & "%$' ! !# %
#%$ ! !*% $ " % &!* ! #
#
%
#
!%
$ #$"% %" #
%
$ #$ #
&!
%
"% %" &!
$ #$ #
%
"% %" &!
$
$
!
$
314!"$$!"#$!&%506"70!0'68&!9#!0:'!';<1#'#0!01!7:"#2'!=168>!
! !!""# !
!
!
!
$"
%
! $#
% " #$" " $!
$"
%
! $#
% " #$" " $!
$"
%
! $#
% " #$" " $!
##& ! !$# & " $ $!$ ! "
$
&
%
$ $
$
&
#
!$
$#
$ #%"# $" "
$
$!
$
$
#
% #&& ! !$# &&$ " $ $! %"# $" " $ $! $ ! $ " $ ! $ "$ !&& " " $ $! $ $ &&$ " $ " $ $ $ ! $ ' %"# $" " $ $!
(
$
$
%&
##& ! !$# & " $ $!$%$# !$ & " $ $ "
%
&
$
$
&
&
$
#
! $ %"# $" " $ $!
$!
$
?&9#2!0:'!$'=9#9091#&!
!"
#!
! ! ! " !"!!!!!!!!" ! # @!
"
##
!
!
0:'!6'&%A0!9&!
!
! !!""# !
!
$"
!# $$
#$%% " !% %%"
$ & # ! % " !% %% " & # " $ ! $ #
$
#
!
!
B*CD!!E:'!';<'70"091#!F"A%'!1=!<1&9091#!9&!
!
"
"
!"
!"
! ! # !!P " !!" # #! ! # ! $ "!!"# #! !
$
G%5&090%09#2!0:'!H"%&&9"#!4"F'!<"7I'0!29F'&!
!"##"#$%
%
!&#$%
!"#$%$&'()*+',-$
! !
!
!
!
!
!
!!
! !" # !
!!
! !" # !
!!
&
%
&
%
$%
$%
! "#$" " !$ $"%
!
"
"
#
$ " !$ $" % & # # # $# # $ ! ! ! !
!
!"
%
! !" # !
! & # ! $ " !$ $" % & # ! ! ! ! #
& "( $ $ % &#"
$! ( ! ! ! ! ! #
'! !
!
"
$%
!
'!
!!
! !" # !
'( !
!!
! !" # !
&
%
$%
! !
!"$!" !$ $"% & # !
!! #
!
'
$"% " ! #
)"$
&
!!
)(
!
'!
!
*
,
,+
$"
%
&
"#!$%!&'(!)*(+*,(!
-./!/01/23"3$4%!5"67/!48!949/%379!$#!/"#$/:!34!2"6276"3/!$%!949/%379!#1"2/;!
"
"
!"
!"
! ! # !!P " !!" # #! ! # !! $ " !!" # #! !
!
"
<7=#3$373$%>!3./!949/%379!?$#3:$=73$4%! P! !" ! ! " ! # ! """ !" !$ #
#
"
$
"
!
!
!"#" !# !# # " ! #! !
%
! "" #$
! ""
!
!
# $ !# " " ! ! !#
! ""
! !
!
"
#
$
###
% "$ $ ! #"
#$
# #$ !>$5/#!
#$ " " ! "
#
#$
!
#
"#!$%!&'(!)*(+@,(!
!
*(AA!!B/:/!$#!"!1643!"#!3./!C$?3.! ! !48!3./!949/%379!?$#3:$=73$4%!5":$/#!
Re@yHxLD
Re@yHxLD
bêp0 = 0.05
2Dx
2Dx
bêp0 = 0.1
x
x
Re@yHxLD
Re@yHxLD
2Dx
bêp0 = 0.15
2Dx
x
x
!
!
!"##"#$%
bêp0 = 0.2
%
!&#'%
!"#$%$&'()*+',-$
!"#$%&#'()$%# ! #(*+,&-"&".#$%&#"/-$(-0#&1$&*$# !! .#)&2(*&)#%&,&#-"#$%&#"$-*)-,)#)&3(-$(4*#42#
$%&#/,45-5(0($6#)("$,(57$(4*.#)&+,&-"&"8##9%&#,&0-$(4*#5&$'&&*#$%&#:4:&*$7:#"/,&-)#-*)#
$%&#/4"($(4*#"/,&-)#("#;(3&*#56#<=8#>?8@ABC#
!
# !" !# &
!
#
!!!" !
"" %
#
!
$ $! ('
!
9%&# -*(:-$(4*# 5&04'# "%4'"# $%-$# $%&# 3&04+($6# 42# $%&# &*3&04/&D$%&# ;,47/# 3&04+($6D("#
$'(+&#$%&#3&04+($6#42#$%&#'(;;0&"#'($%(*#$%&#&*3&04/&D$%&#/%-"&#3&04+($68#
#
E4,#04*;&,#$(:&".#647#+-*#-0"4#"&&#$%&#"/,&-)#42#$%&#'-3&#/-+F&$8#
#
?8GH##!#/,4/-;-$(*;#I-7""(-*#'-3&#/-+F&$#%-"#$%&#'-3&#27*+$(4*##
#
! !!""# !
!
$"
!# $$
#$%% " !% %%"
$ & # ! % " !% %% " & # " $ ! $ #
#
$
#
#
'%&,&#
!"
#!
! ! ! " !"!!!!!!!!" ! # 8#
"
##
!
9%&# 5,&-)$%# 42# $%&# '-3&# 27*+$(4*# ("# +%-,-+$&,(J&)# 56# $%&# /4"($(4*# 7*+&,$-(*$6#
!
!! ! ! ! " ! 8##E,4:#K,450&:#?8GA#4,#<=8#>?8L?B.#'&#%-3&# ! ! "!# $ 8##94#2(*)#$%&#
7*+&,$-(*$6#'&#*&&)#$%&#&1/&+$-$(4*#3-07&#
#
!"##"#$%
%
!&#'%
!"#$%$&'()*+',-$
!! !
!
!
!
!
!
!!
! !" # !
!!
! !" # !
!!
&
%
&
%
$%
$%
! ! "#$" " !$ $"%
!!"
! & # ! $ " !$ $" % & # ! ! ! ! #
"
#
$ " !$ $" % & # # # $# # $ ! ! ! !
!
%
! !" # !
!!
! !" # !
!
"
! $! ( !
&$% " ( $ $"% & # "
!
!
'! !
!! # !
' " !% # ! # !
$"!% !
)
$
&!
& !! %
)(
!
'!
!!
! !" # !
&
%
$%
!!"
$!" !$ $" % & # ! ! ! ! # !
!
'!
!
'(
" # ! ! * ' ! ! # ! $"!% ! *
, !)
$ ! ,
& +
! ! ,+ ( & ! !
"#$%#&!'(#!)*+,',*$!-$%#.'/,$'0!,+!
!
!! !
!
!
" !
!
!
% ! ! # ! " !# ! ( % " # ( ! ! # !
% !$ !# (
!
#
#
! '
" ! * "'
!
$" '
1!
* !
!
$ ) & $)
!$
!$
& $! *)
& "$
!
2(,+!,+! /! 3.*4,$3! 5-$%',*$!*5! ',6#&!+*!'(#!4/7#!)/%8#'!9.*/:#$+!,$!)*+,',*$! +)/%#!/+! ,'!
6*7#+1!!;$!6*6#$'-6!+)/%#!4#!(/7#! ! ! !! 1!!2(#!#<)#%'/',*$!7/=-#!*5! ! ! !,+!
!! !
!
!
"
! !"
%
$
#$
! ! "#" !# !# #
!
!!!
#! !
"
! !"
$
% "$ $ ! #
#$
!
#
)
" & "
!
! ! ! $ $ # $ !#! " ! ! + ! ! ! $ !#!
(
! !" ' !
*
!! !
!! " !
!
"#$
!
!!!
#$
!
! # ! " !"! " !"! ! # 1!
2(#!6*6#$'-6!+)/%#!4,:'(!,+!%*$+'/$'1!
2(#!-$%#.'/,$'0!).*:-%'!,+!!
!
!
# !" !# &
# !" !# &
!
!
!
!!!" ! "
"" %
!
"
"
) &!
!
(
%
(
!"
!
!
$ $! '
$ $! '
!
+*!,'!,+!+/',+5,#:1!!2(#!6,$,6-6!-$%#.'/,$'0!,+!/'! ! ! ! &!/'!4(,%(!',6#!'(#!4/7#!)/%8#'!(/+!
'(#!6,$,6-6!-$%#.'/,$'0!/==*4#:!90!>-/$'-6!6#%(/$,%+1!!?*.!/==!*'(#.!',6#+!'(#!4/7#!
)/%8#'!(/+!/!=/.3#.!-$%#.'/,$'01!
!"##"#$%
%
!&#'%
!"#$%$&'()*+',-$
DpDxê—
1.5
1.0
0.5
!
-4
-2
0
t/t
2
!
!
"#$%! ! &'(! )! *)(+',-.! /)01! '2! 3*1! 2'(+! !"! #$!" % " 4! 3*1! 5*)61! 017'.-38! -6! 3*1! ()3-'! '2! 3*1!
),9:7)(!2(1;:1,.8!3'!3*1!/)01!01.3'(!
!
! "#$%& !
!
!
'
<:73-578-,9!3'5!),=!>'33'+!>8!?7),.@A6!.',63),3!9136!
! !!
! "#$%& ! !
!
' !'
!
B6-,9!C-,631-,A6!1,1(98!(17)3-',!!! ! !! !),=!=1!D('97-1A6!(17)3-',!!! ! " ! ! !# !9-016!
!
!
! !! (
! "#$%& ! !
! !
'
!'
"
!
B6-,9!3*1!@-,13-.!1,1(98!'2!)!2(11!5)(3-.71!9-016!
!
! !! ( " ! !)
"
! "#$%& ! !
! !
!
!
' !' "
"
!)
!
B6-,9! 3*1!.7)66-.)7! (17)3-',! >13/11,! +'+1,3:+! ),=! 017'.-38! '2! )! 5)(3-.71! ! ! "#$%&''($&% !
(16:736!-,!
!
! !! ( " ! !)
"
!
! "#$%& ! !
! !
!
! *+$%%,*$+ !
' !' "
"
!
!)
!
&'(!)!/)01!3*)3!-6!)!6:51(5'6-3-',!'2!*)(+',-.!/)0164!3*1!9(':5!017'.-38!-6!3*1!=1(-0)3-01!
'2!3*1!=-651(6-',!(17)3-',E!
!
!"#$%& !
'!
'(
!
(!
<:73-578-,9!3'5!),=!>'33'+!>8!?7),.@A6!.',63),3!9136!
!
!"##"#$%
'!
!"#$%& !
'(
!
!
(!
%
' " !! #
!
' " !( # (
!
!&#!%
!"#$%$&'()*+',-$
!"#$%&'#$"()#$*"&)$)+%,&+)-.(#/$&!! ! !! &.$0&0)&1+/%-#)*"&+)-.(#/$&!! ! " ! ! !# &%#2)"&
'!
!"#$%& !
'(
!
&
!
(!
' " !! #
')
!
' " !( # (
'&
&
&!
!
!"#$%&(3)&4#$)(#5&)$)+%,&/6&.&6+))&7.+(#5-)&%#2)"&
&
!"#$%&
!
'!
!
'(
' " !! #
')
!
!
' " !( # (
'&
(!
!
!
"
' & " "*
#
!
'&
&!
&!
&!
&
*
!"#$%& (3)&5-.""#5.-& +)-.(#/$& 8)(9))$& :/:)$(;:& .$0& 2)-/5#(,& /6& .& 7.+(#5-)& ! ! "#$%&''($&% &
+)";-("&#$&
&
'!
!
'(
!"#$%&
!
(!
' " !! #
')
!
!
' " !( # (
'&
!
!
"
' & " "*
#
'&
&!
&!
! !+,-../+-, &
*
!
&!
&
<=>?&&@3#"&9.2)&6;$5(#/$&#"&$/(&.$&)#%)$"(.()&/6&:/:)$(;:A&93#53&#"&5-).+&#6&9)&9+#()&#(&
."&.&";:&/6&5/:7-)B&)B7/$)$(#.-"&
"
! ! ! " # "!"# ! #$ ! ! " # ! %$#$ ! ! " %"$#$ ! ! " =&
%$
!
1,&#$"7)5(#/$A&9)&"))&(3.(&(3#"&"(.()&#"&(3)&";7)+7/"#(#/$&
&
!
! ! !" " !# " " !# # !
"#!# $ " " ""#!# $ " # &A&
"
" "# "
!
"/&:).";+):)$(&/6&(3)&:/:)$(;:&,#)-0"&(3)&+)";-("& !! &/+& ! !! =&&@3)&)B7)5(.(#/$&2.-;)&
/6&(3)&:/:)$(;:&#"&
&
! ! ! !! !
&
!
!
"
!
!
"
!
"
"
!# " " !# # !
"! !! " !
" ! $ " " ! ## ! #
#
#
#
#
!
"
"!
" " !#
#
#
! " !# " " !# ! !# $ " !# ! " !#
# =&
#
@3)& :/:)$(;:& 7+/8.8#-#(,& 0#"(+#8;(#/$& #"& /8(.#$)0& 6+/:& (3)& :/:)$(;:& "7.5)& 9.2)&
6;$5(#/$=&!"#$%&'C=&D<=E>FA&9)&/8(.#$&
!
"# !
! ! !" # ! " #
&
!
%#2#$%&
&
#
!
"# ! "
&
%
$%
&
%
$%
!# !
$ !# $ ! " " !
P ! !" # ! ! !" # ! " #
!"##"#$%
!
!
$ #$$! !# $ ! " " !
"
!
"
"
%
!
!
#$!# " ! $ #$$!# " ! #$$!" ! %"
&
"# ! $% " "# !
&
!
%" #
!' ! ! $ !# " $ ' ! ! $ !# ""
"
" ! " " #$$!" ! %" #
!# ! ! $ ! " $ # ! ! $ ! ""
#
#
%
!
#
"
!
!# ! ! $ ! " $ # ! ! $ ! "" &
#
#
!&#'%
!"#$%$&'()*+',-$
!"#$%&'#()*#+&,*-(.%&(/0#1*#&**'# ! ! 2#
!! ! ! !! ! !
#
!
"
!
!
"
!
"
"
!
"
!# " " !# # ! !
"
!
"!
#
" " !#
#
#
!# ! ! !# " !# ! ! " !# " " !# ! ! !# $ " !# ! ! " !# 3#
" ! $ "" ! # # ! !
!
#
!
#
#
4*&,*#()*#+&,*-(.%&(/#%5#
!! !
#
!! " !
!
!
!"! " " ! !" 3#
#
6378# # !)*# 9"5%(%"&# +&,*-(.%&(/# %5# -"+:);/# ()*# 5%<*# "$# ()*# ="># !! ! " 3# # !)*# +&,*-(.%&(/#
9-%&,%9;*#%?9;%*5#.#?%&%?+?#?"?*&(+?#
!
!
!!"# ! !! !
!
#
$!" $#
!
#
.&'#)*&,*#.#?%&%?+?#*&*-:/#
"$
!$
!!"# ! !"# !
#
$# %#$ $
!
@"-#.&#*;*,(-"&#%&#.#A37#&?#=">0#()*#*&*-:/#%5#
#
!$
" $% # !
"'$()!&' !(" #
!
!
$ ! )+,*!&' #
$
$
$ $
$
%"#
&$! "% #
&$! *+'' " ') * !&' " )+'!(" #
$
#
!!"#
!
$
"
#
#
6376##@"-#.#9.-(%,;*#="+&'#%&#.#9"(*&(%.;#1*;;#! ! " " 0#()*#*&*-:/#%5#
"!
!!
" $ # %$ #
!#
#
@"-# .# 9.-(%,;*# ,"&$%&*'# ("# -*:%"&# !! 0# ()*# +&,*-(.%&(/# 9-%&,%9;*# %?9;%*5# .# ?%&%?+?#
?"?*&(+?#!!!"# ! !! ! ! $!" 0#.&'#1*#*5(%?.(*#()*#:-"+&'#5(.(*#*&*-:/#.5#
$
%!"#
!$
&
$
!
" ' # !( $ !
) # !( $ #
$ "
$&
%& # !( $ $
#
!"#$
!
%&#()*#).-?"&%,#"5,%;;.("-#9"(*&(%.;3##B%&%?%<%&:#()%5#1%()#-*59*,(#("# !! 0#:%C*5#
"!! !
% ! (
#
#
0#
# $ ' ! !% " # $!!!!!#!!!!!! !% " # '
& !&$ *)
! ! !% " "& ! !% "
!
1)*-*# 1*# ).C*# +5*'# ! ! "! ! 0# 1%()# ! # =*%&:# ()*# -*5"&.&(# $-*D+*&,/# "$# ()*# "5,%;;.("-3##
!)*#-*5+;(.&(#*&*-:/#%5#
%!
!"#$!
!"##"#$%
%
!&#'%
!"#$%$&'()*+',-$
!!
#
" ! % #
! !! "!
!
$ %! ! $
# !%! '& !
"% " ! !%! # !
!
!"#$
!
#$%&$!%'!()%*+&,-.,'-/0!1$2!&.**2&1!232*4/5!
!
6578!!9.*!+!:+*1%&-2!;.,3<!%3!+!:.1231%+-!#2--!! ! " " "!1$2!232*4/!%'!
"!
!!
" $ # %$ !
!#
!
9.*! +! :+*1%&-2! &.3=%32<! 1.! *24%.3! !! "! 1$2! ,3&2*1+%31/! :*%3&%:-2! %):-%2'! +! )%3%),)!
).)231,)!!!!"# ! !! ! ! $!" "!+3<!#2!2'1%)+12!1$2!4*.,3<!'1+12!232*4/!+'!
%$
!$
!"#$ ! !"# " ' # !( $ !
$ " ) !( !
$&
%&
!(
#
$
!
%3!1$2!-%32+*!:.1231%+-5!!>%3%)%?%34!1$%'!#%1$!*2':2&1!1.! !! "!4%@2'!
!
&#
$ !! '
"!! !
!
#
$
'
#
$!!!!!#!!!!!
!%
#
!
"
&% %&' )( 5!
! ! !% " "& ! !% "#
!
A$2!*2',-1+31!232*4/!%'!
!"#$!
!"#$ !
!
!
"
!!
"% ! ! #%&
#
! $
%$
! !! $
$ &#
" #%& &%
%$
$ ! !!&! $
! #
5!
! " #% &%
!
657B!!9.*!+!:+*1%&-2!;.,3<!%3!+!:.1231%+-!#2--!! ! " " "!1$2!232*4/!%'!
"!
!!
" $ # %$ !
!#
!
9.*! +! :+*1%&-2! &.3=%32<! 1.! *24%.3! !! "! 1$2! ,3&2*1+%31/! :*%3&%:-2! %):-%2'! +! )%3%),)!
).)231,)!!!!"# ! !! ! ! $!" "!+3<!#2!2'1%)+12!1$2!4*.,3<!'1+12!232*4/!+'!
$
%!"#
!$
&
!
" ' # !( $ !
$ " ) # !( $ !
$&
%& # !( $
!
!"#$
!
%3!1$%'!C,+*1%&!:.1231%+-5!!>%3%)%?%34!1$%'!#%1$!*2':2&1!1.! !! "!4%@2'!
$ !! '
"!! !
#
!
#
$
#'
!%
#
$!!!!!#!!!!!
!%
#
!
"
!
"
&% %!&' )(
! ! !% " "& ! !% "#
!
A$2!*2',-1+31!232*4/!%'!
!"#$!
!
!"#$ !
!
!"##"#$%
"
!!
"% ! ! #!%&
#
#$
! !! $
$ &#
" #!%& &%
%
! $
% ! ! && $
! # ! !&
! " #! % %
%&
5!
#$
5!
!&#'%
!"#$%$&'()*+',-$
!
!
!
"#$%!!&'(!)!*)(+,-./!0'123!,2!)!*'+/2+,).!4/..!! ! " " 5!+6/!/2/(78!,9!
"!
!!
" $ # %$ !
!#
!
&'(! )! *)(+,-./! -'2:,2/3! +'! (/7,'2! !! 5! +6/! 12-/(+),2+8! *(,2-,*./! ,;*.,/9! )! ;,2,;1;!
;';/2+1;!!!!"# ! !! ! ! $!" 5!)23!4/!/9+,;)+/!+6/!7('123!9+)+/!/2/(78!)9!
%$
!$
)$
!"#$ ! !"# " ' # !( $ !
"
!
$
$&
&#$ ' # !( $
%&
!(
#
$
!
,2!+6/!<'1.';0!*'+/2+,).#!!=,2,;,>,27!+6,9!4,+6!(/9*/-+!+'! !! 5!7,?/9!
!
!"#$!
!
#
! ! !% "
!
@6/!(/91.+)2+!/2/(78!,9!
!
!"#$ !
"
"!! !
'!
! !#$ %
$
#
%!!!!!%!!!!!
!%
#
#!
!
"
#
!
&'!
"& ! !% " $#$ % ! !% "
!!
"% ! !!" # %&!
#
!
#
&!
!%& $
!
!
!
#
! ! ! #!$ %' 5!
!
!
$!" # ! !" # %&
" $!" # # !
"
#
!
46,-6!,9!A!+,;/9!.)(7/(!+6)2!+6/!)-+1).!/2/(78!
!
"#BC! ! &'(! )! *)(+,-./! ,2! )! 9D1)(/! 4/..! :(';! C! EF! G5! +6/! *'9,+,'2! /H*/-+)+,'2! ?).1/! ,9!
! ! " ! #!!@6/!*'9,+,'2!12-/(+),2+8!,9!
!! !
!
!! " !
!
#!
I'!:,(9+!:,23! ! ! J!
! ! ! !" ! ! !" !
! " ! ! "!
! #$%
#!
"
" #&
"
!
(
! + !' % !!
"
!
!" ! .
!" !
0 #!
! - "'
$
$
' * #$%
! +,#
"
" 0
" - ( & ) " " * #" " $ )
"
"
)
#
$
,
/&
!
.
! + "'
"
" (
!%"
$ !*
- $
! 0! " '
& ' !" )
" -, ( ) #" " $ 0/
@6/!*'9,+,'2!12-/(+),2+8!,9!
!
!! !
!! " !
!
" ' "!
"
"
$"
! "! & " ! ) "
!"
" ! #!
% # !# ( $
"! !#
&'(!)!12,:'(;!*('0)0,.,+8!3/29,+85!4/!7/+!
!"##"#$%
%
!&$'%
!"#$%$&'()*+',-$
!
#
! ! ! !P " ! # "! ! !
#
!
!
! ! ! P " ! # "! ! !
#
#
#
"
" " !# %
! "! ! $ ' ! !
#
# # # &! #
"#!$%&$'($)*!"+)!
!
!
!
#
!
"
"
#
#
#!
# " !$ %
! "! ! $ ' ! ,!
#
# # $ &" $
!
-.$!&/#0(0/+!1+'$2("0+(3!0#!
!! !
!
!
" !
!
!
!
"! "!
"
"
!
*!
" #
$!
4.0'.!0#!5"26$2!(."+!(.$!62/1+)!#("($*!"#!3/1!706.(!$%&$'(,!
!
8,9:!!;02#(!+/27"50<$!(.$!4"=$!>1+'(0/+?!
#
#
"#
"#
! ! ! ! ! $ ! " " ! #! " ! # "! ! $ #"$"%&# ! ! $" !
!
!
! #
$
$
#
"#
$
" ! $ $% $
$
%% $
#$%&# ! ! $" !
$
%% $
"!
,!
"! ! # % $&
$
-.$!+/27"50<$)!4"=$!>1+'(0/+!0#!
"
"
!
! ! !" #
"#$# ! ! "$ ! $ " ,!
" "#
!
@"A!-.$!$%&$'("(0/+!="51$!/>!7/7$+(17!'"5'15"($)!0+!(.$!&/#0(0/+!2$&2$#$+("(0/+!0#!
!
)
$&
#
! ! ! ! ! ! * ! ! " " # % "#! ( ! ! " " # $"
")
$
$" '
"
+ #,
"#!
!
+ #,
!
!
*
)
%"#!$ " ! %" "
")
#
%+ #
$ & #!$ " ! " " #
#
%
%$ "#! (' %
$"
" & " "#
# #!$
"
(%
%
") $ !
#+ # '
*
)
#+ #
%+ #
$"
,!
$" !
"#! # #!$
&
%$ + #, (' ! !$
+ #, !
!
"# !
&
!
-.0#!0#!$%&$'($)!>2/7!(.$!>/27!/>!(.$!4"=$!>1+'(0/+,!
@BA!!-/!'"5'15"($!(.$!$%&$'("(0/+!="51$!0+!(.$!7/7$+(17!2$&2$#$+("(0/+*!4$!>02#(!+$$)!(.$!
7/7$+(17!#&"'$!4"=$!>1+'(0/+,!!C#0+6!DE,!@8,F:A*!4$!/B("0+!
! ! !" # ! " #
!
!
"# !
!
!
#
"# ! ' "#
&
%
$%
&
" ! " " #$$!" ! %" #
%
$%
#
$ ! !# $ ! " " !$ " " $ ' "
%
$%
!
' "#
#$!# " ! #$ "
"
$' "
#$$!" ! %"
,!
%"
!
C#$!(.$!0+($62"5!0+!DE,!@;,9FA!(/!/B("0+!
!"##"#$%
%
!&$#%
!"#$%$&'()*+',-$
"
"
"
"
% "# " ( "
!
!
! ! !" #
"# " "$# ! !$ !# " ! # ' " * "$# ! !$ !# "
& "! )
"" ! # ""
!
#$%!%&'%()*)+,-!.*/0%!,1!2,2%-)02!+-!)$%!2,2%-)02!3%'3%4%-)*)+,-!+4!
!
( "& " +
! ! ! ! ! ! % " " ! # !!" " ! # "! ! * " #$
) '! ,
$
!
!
( "& " +
!* ") '! ,
#"
!
(
!$ $
*
%
& " #$ )
& "
!
#"
%
!
$
$
#$
"
"
!!##"& " !# !$ #
"
( "& " +
+
$- !## $ "$ ! * " ,
) '! ,
#"
!
& "
!"
"!
$
!"
"!
"!
"!
#
' ! !$
#$%!4*2%!3%40/)5!*4!%&'%()%6"!
!
7"88! ! 9*:! ;/,)! )$%! <*.%! 10-()+,-5! 04+-=! !!! ! "! ! " 5! <$+($! =+.%4! *! <*.%/%-=)$!
! ! ! "! ! # " >!
-1.0
Re@yHxLD
Im@yHxLD
1.0
1.0
0.5
0.5
0.5
-0.5
-0.5
1.0
xêb
-1.0
-1.0
!
0.5
-0.5
-0.5
1.0
xêb
-1.0
!
9?:!@,32*/+A%!)$%!<*.%!10-()+,->!
! ! ! ! ! $ ! " " ! #! " ! # "! ! $ #"$"%&# ! ! " ' " ! # #$%&# ! ! " ' " ! # "!
!
! #
$
$
'
"'
"'
$
#
'
"#
"'
" $' ! $ !
$
# "! ! $ # $ "'
$
'
$
#
'
#
" $'! $ ! $ "!
"!
! $ # %& !' $ " '! $ $ ! % %'( # ! $ # %&' % %'(
!
$
$
#$%!-,32*/+A%6!<*.%!10-()+,-!+4!
! $%# ! !
! ! !" #
#
!" " ! " "!
"" !
!
!9(:!B4+-=!CD"!97"EF:5!)$%!2,2%-)02!4'*(%!<*.%!10-()+,-!+4!
!
!"##"#$%
%
!&$$%
!"#$%$&'()*+',-$
! ! !" # ! " #
#
!
"# !
#
#
%# !& #
#
#
!
"# !
#
"& #
# $!$ " !
#
!& $ " " #$$!" ! %"
"& #
%
$
#$! !$ $ ! " " ! ! & $ " " %" $ & #$! !$ $ ! " " ! ! & $ " " %"
$%
%&
!
"# !
&
$&
" ! " " #$$!" ! %" #
&
&
$&
&
$
&
- ' #$! !$ $ ! " " ! ! $ $ ! ! $ ! " ! & $ " " ! * $ ' #$! !$ $ ! " " ! $! $ $ ! ! $ ! " ! & $ " " ! *& 1
!
", $ )
!
", /
/
$
$
.)
2
"
"
"
"
! !$ $ ! " !
! !$ $ ! " !
,+ $& )(
,+ $ /
/0 )(
3
$$ ! ! $ ! "& !
$#$! !$ $ ! "& ! $ ! $! $ $& ! !$ $ ! " ! " 1/
# -/ !! $ $ & ! !$ $ ! " ! " $ # $
$
.
2
%# !& # /
! !$ $ ! "" ! "
! !$ $ ! "" ! "
0
3/
%
$ ! !$ $ ! "& !
"
$ #$$! !$ $ ! "& !
# ! "$#
%# !& #
! !$ $ ! ""
%
&
&
"
# ! ! $ &'( !! !$ $ ! " & ! "
#
# !& #
! !$ $ ! ""
#
!
!
"
"
# "! ()* !! !$ $ ! " & "! "
# !& #
! !$ $ ! ""
"#$!%&%$'()%!*+&,-,./.(0!1$'2.(0!.2!
!
'
"!! # $%& !! !( # ! " " !! "
!
!
P ! !" # ! ! !" #
'
" "#
!( # ! "
!
!
3/&(!(#$!%&%$'()%!*+&,-,./.(04!)2.'5!!!! ! "! ! " 6!
PHpL
p0
!
p
!
!
789:!!"#$!*&2.(.&'!)';$+(-.'(0!.2!+&)5#/0!(#$!2.<$!&=!(#$!');/$)2! !! ! " ! !! #$ 8!!"#.2!.2!>!
&+1$+2! &=! %-5'.()1$! 2%-//$+! (#-'! (#$! #01+&5$'! -(&%4! ?#.;#! .%*/.$2! -! %);#! /-+5$+!
$'$+504! 2&! ?$! )2$! (#$! +$/-(.@.2(.;! =&+%! !! ! " ! # ! " $ ! # " ! "# 8! ! "#$! )';$+(-.'(0!
*+.';.*/$!.%*/.$2!-!%.'.%)%!%&%$'()%!
!"##"#$%
%
!&$'%
!"#$%$&'()*+',-$
!
!
!!"# ! !! !
!
!
$!" $#
!
!
"#$!%&#'&!"!()#)(*(!&#&+,-!
!#
!!"# ! "!"# # !
!
$$
!
./+!"#!&0&'1+/#!)#!"!2!3(!4/56!1%&!&#&+,-!)7!
!
!"
$" &$%'!%& !'(
!!"# !
!
!
! %(!*%& 6!
!
#
!
$!
)(
%
$#
%
"
#
!
8%)'%! )7! $&3)#)1&0-! +&0"1)9)71)':! ! ;%&! </*0/(4! =/1&#1)"0! &#&+,-! 3/+! 7*'%! "! '/#3)#&$!
&0&'1+/#!)7!
!
!
+*
+*
(!
(!
$ $!"#!(, !-&
!
!
!#
!
! #'&!/(, :!
"!" # ) "!" # !* !! )
!! ) $%& !! " !! .& #
!"#$%#&'
!
;%)7!=/1&#1)"0!&#&+,-!8&00!)7!#/1!7*33)')&#1!1/!'/#3)#&!1%)7!&#&+,&1)'!&0&'1+/#6!7/!&0&'1+/#!
'/#3)#&(&#1!)#7)$&!1%&!#*'0&*7!4-!1%&!</*0/(4!3/+'&!)7!#/1!7*33)')&#1:!!>/*!8/*0$!%"9&!
1/!%-=/1%&7)?&!7/(&!/1%&+!3/+'&:!
!
@:2A!!;%&!4/*#$"+-!'/#$)1)/#7!3/+!"!8"9&!)#')$&#1!/#!"!8&00!BCD:!E@:FGHI!"+&!
! ! ! "" " ! #$"%&"" # '$%&"" $ ($"%&# " # )$%&# "
!
*! ! ! + "
!%&" #$"%&"" " %&" '$%&"" $ %&#($"%&# " " %&# )$%&# "
*+ +$" "
! ! ! " " !($%&# " # )$"%&# " $ ,$%&""
!
*! ! ! + "
!%&#($%&# " " %&# )$"%&# " $ %&",$%&""
*+ +$"
J/09&!1%&!0"71!18/!&D*"1)/#7!3/+!!!"#$!"!
!
!!"#$! % " '"#$"% #" ! $" $! $
!"#$! % ! &"!#$! % " '"#$"%
!!!!!!"!!!!!
!
!"#$! % ! &"!#$! % " # $" $! $ '"#$"%
!&"!#$! % " '"#$"% #" ! $" $! $
J)()0"+0-!+&"++"#,&!1%&!3)+71!18/!&D*"1)/#7K!
!
!!"!#$"% ! &"!#$! % #" " $! $" $ " '"#$! % #" ! $! $" $
!("#$"% ! &"!#$! % #" ! $! $" $ " '"#$! % #" " $! $" $
!
"#$!7*471)1*1&!3+/(!"4/9&K!
!
!"##"#$%
!!"!# " $#% ! &"!# " $" % ## " $# $" $ ## " $" $# $ " &"# " $" % ## ! $# $" $ ## ! $" $# $
!' ! &"!# " $" % ## " $# $" $ ## ! $" $# $ " &"# " $" % ## ! $# $" $ ## " $" $# $
%
!
!&$'%
!"#$%$&'()*+',-$
!"#$%"&'(
(
!!"!# " $#% ! & "# ! $%& "$" % ! # $# $" " $" $# $ "# &'( "$" % $%
!' ! & "# ! # $# $" ! $" $# $ "# &'( "$" % $%
(
)*+(,-%./(&-0(12/(0)1"-,(!3"()*+(#3"(
!
!
"
#!$ ! %"&
% ! " %!!
#$% !%! & ! $ "
%&' !%! &
!%"%!
4(
%!! ! %"!
%&' !%! &
'
!%"%!
!
% ! " %!!
"
#$% !%! & ! $ "
%&' !%! &
!%"%!
(
$#!$ ! %"&
52"62()70//(5"12(89:(;<:=>?:(
(
<:@A((B2/(10)*,#",,"-*(120-C72()(,9C)0/(5/%%(",(C*"1'(52/*(12/(5/%%(6-*1)"*,()*("*1/7/0(
*C#D/0(-&(2)%&(5)./%/*712,(E89:(;<:=F?GH(
!!! " ! #! (
(
I*(1/0#,(-&(/*/07'(12",(",(
! !! " " ! #" #$ ! $ %! (
!
B2/( 5"+12($(",($0-$-01"-*)%( 1-( 12/( "*1/7/0(%4(,-(12/(#"*"#C#(.)%C/(-&($( -66C0,( &-0( 12/(
#"*"#C#(.)%C/(-&(%H(
(
! !! " " ! #" #$#$% ! $ &!
(
$#$% $
!
!!
! !! " " ! #" #
$
(
%&
' !!& " " ! #" #
!
8.)%C)1"*7(12",(7"./,(
(
!!"# !
$%&'!"# !$%
& % " ($$!&"# # " )%!"# #
! '*'(&!$% (
B2/(-12/0($-,,"D%/(/*/07"/,(&-0(C*"1'(10)*,#",,"-*()0/(&-C*+(5"12(12/(-12/0("*1/7/0,H(
(
!! " " ! #" # " $! %
$$ '
# !% &
!!
!
!
! !!!
" $! % !
"$ $ $ '
( #" $ $ !
( #"
# !% & !!
#!% !
!
J-12"*7(12)1(12/(%-5/,1(/*/07'(",(@K(/LH(
!"##"#$%
!
%
:(
!&$'%
!"#$%$&'()*+',-$
! "!"
! "!"
!
!! !
" $$ ! "$!%$ !!!!!#!!!!!
! !! " $$ "!
#"# "
#"# "
!
#$$%&'!('!)%!*+,-!)./!'+01$/!/213/''+%,4!
!" ! " ! # !" " ## $ ! ## "!
!
5+).!6#$(/'!
!" ! " ! # !" " ## $ ! ## ! !" !$!!%!" ! &## !$!'!" ! (## !$!")!" ! "*## !$+++
!
! !#!$# !$!"")!$# !$!!,)!$# !$!*##!$# !$+++!
"!
76/38! 1%)/,)+#$! &/$$! .#'! #)! $/#')! %,/! 9%(,-! ')#)/"! ! :%! -/)/30+,/! )./! ,(09/3! %*! 9%(,-!
')#)/';!*+,-!)./!1#3#0/)/3! !! !-/*+,/-!+,!7<"!=>"?@A4!
"
"
!!! ! ""#! $ ! !
!
B'+,C!!!*3%0!#9%6/;!&/!C/)!
!
!! ! ! ""! # # # " "! $ ! #! " $ "! # # " " $! ! #! " $ $"$" %"$" ! !&'(" !
D/E#$$! *3%0! F.#1)/3! >! ).#)! )./! &/$$! C#+,'! #,%)./3! 9%(,-! ')#)/! *%3! /#E.! #--+)+%,#$! !! !
6#$(/!%*! ! ! ! "#$% "!!G/,E/!).+'!')#)/!.#'!%,$8!%,/!9%(,-!')#)/"!
!
@"H@! ! :./! 9%(,-! ')#)/'! %*! #! *+,+)/! &/$$! #3/! -/)/30+,/-! 98! )./! 1#3#0/)/3! !! ! -/*+,/-! +,!
7<"!=>"?@A4!
"
"
!!! ! ""#! $ ! "!
I! &/$$! &+).! >!')#)/'!.#'! !! !9/)&//,! !! !#,-! !"#! "!!:.+'!3#,C/!%*!1%''+9+$+)+/'!*%3! !! !
E%33/'1%,-'!)%!#!3#,C/!%*!1%''+9+$+)+/'!*%3!)./!&/$$!'+J/!H!"!!:./!'E#))/3+,C!3/'%,#,E/'!#3/!
C+6/,!98!7<"!=@"K?A!
!
! !!!
!
!" ! "
" %# "!
"#$ !
!
L,! ).+'! E#'/! &/! -%! ,%)! M,%&! ";! '%! &/! 0(')! )3/#)! )./! #9%6/! #'! )&%! /<(#)+%,'! &+).! )&%!
(,M,%&,'!="!#,-!!A;!&./3/!&/!M,%&!%,$8!)./!1%''+9$/!3#,C/!%*! !! "!!7$+0+,#)+,C!!!*+3');!
&/!*+,-!
!
!!
##
$ # ! # ;!
" " " ! !! # $ !
!
#,-!'%$6+,C!*%3!"!C+6/'!
!
!!
)+ '!(!!!!!)*+*),)
" " #! "$!
##!%# !"!!$!%# " $! %
!
#%&'
(
!
"!
*
$# ! " '&
#!
!
$!%#
,+ &!(!!!!)-.*),)
N%;!)./!3/'%,#,E/!0(')!$+/!+,!)./!3#,C/!
!"##"#$%
%
!&$!%
!"#$%$&'()*+',-$
!"#! ! ! ! $"$% "!
!
#$! %&'%()*$! +,-+! +,$! .%-++$/0'1! /$.&'-'%$! 2).+! ,-3$! ! ! ! "! ! 4&(30'1! +,$! /$.&'-'%$!
$5)-+0&'!6&/!+,$!7$((!,-(6870*+,!103$.!
!
!!
% #&!$#!(% !"# $
" !! ! ! !
"&'
!
!
! #)$(!"# "!
"# # $" " %# $ $ !#' ! # $" " %# $ $ ! # '&&!)(% $ #&(!(% $
!
9,).! +,$! 70*+,! &6! +,$! 7$((! 0.! !! ! "#$%!"# "! ! 9,$! &+,$/! :&..0;($! $'$/10$.! 6&/! )'0+<!
+/-'.20..0&'!-/$!6&)'*!70+,!+,$!&+,$/!0'+$1$/.=!
! !!!
!
!" ! "
" %# "!
"#$ !
!
>&+,0'1!+,-+!+,$! ! ! ! !/$.&'-'%$!0.!??!$@=!
!
! $!$
! $!$
'
!
!! ! "#
" $& ! ''!%$ !!!!!#!!!!!
!
# !! " $& $ "!
$
$
%"#
%"#
"#
!
A((&7.!).!+&!60'*!+,$!.02:($!$B:/$..0&'=!
!" ! " " ! # " !# $ #$ # ! #$ "!
"
!
>&+$!+,-+!+,0.!/$.)(+!103$.! '$1-+03$!$'$/10$.!6&/! ! ! ! "!!9,0.!0.!+&! ;$!$B:$%+$*=!+,$!60/.+!
.%-++$/0'1!/$.&'-'%$!,-.!+,$!.-2$!0'*$B!-.!+,$!,01,$.+!;&)'*!.+-+$!C ! ! ! !,$/$D"!4+-/+0'1!
70+,! ! ! ! E!+,$!.%-++$/0'1!/$.&'-'%$.!-/$!
!
!" ! !"#$!#$ !%!&"$#!#$ !%!!!!#$ !%!!#"'(!#$ !%"""! "!
!
F"GH!!9,$!7$((!:-/-2$+$/!!I!0.!
" " #$$%&# # #&# " !%#'" " #
""#! $ "
!! !
!
! "%'(& !
!
"
"
!
$"&!&#'" "! #
"
!
7,0%,!103$.!G!;&)'*!.+-+$."!!9,$!.&()+0&'.!+&!+,$!+/-'.%$'*$'+-(!$5)-+0&'.!-/$!
"
!
! !"# ! ! " # !$% ! ! % !!!"!!!! # &'&((
!! )*! ! ! " # !$% ! ! % !!!"!!!! # %'%+%
!
J&/!+,0.!%-.$E!7$!:)+!+,$!K$/&!&6!:&+$'+0-(!$'$/1<!&)+.0*$!+,$!7$((E!.&!+,$!$'$/10$.!&6!+,$!
;&)'*!.+-+$.!-/$!
!! "!
!
!!
!!!"%& ! !#$%&"!'()** ! %$+,!!'() !
!#$ !
!
9,$!.%-++$/0'1!/$.&'-'%$.!-/$!103$'!;<!L5"!CF"MND=!
!"##"#$%
%
!&$'%
!"#$%$&'()*+',-$
! !!!
!" ! "
" %# "!
"#$ !
!
!
!
#$%!&'()!*+,,-!*+!.+&!
!
!" ! "
!
""!#$#$"% #!
!
! ! &#$ ! " ""'&$##$ # ! &#$ "!
%! " &""&#$ # " $'&"% ! #
/$&+!&'0&!&'()!%+)1,&!.(2+)! 3+.0&(2+!+3+%.(+)!4$%! ! ! ! "!! 5'()!()!&$! 6+!+78+9&+:;!&'+!4(%)&!
)90&&+%(3.!%+)$3039+!'0)!&'+!)0<+!(3:+7!0)!&'+!'(.'+)&!6$13:!)&0&+!= ! ! ! !'+%+>"!?&0%&(3.!
*(&'! ! ! ! -!&'+!)90&&+%(3.!%+)$3039+)!0%+!
!
!" ! !"#!$!#$ !%!$"&'!!#$ !%!!("#)!#$ !%!*+",!!#$ !%"""! "!
!
@"AB!5'+!)90&&+%(3.!%+)$3039+)!0%+!.(2+3!6C!DE"!=@"FB>-!*(&'!&'+!)(.3!$4!&'+!*+,,G60%%(+%!
9'03.+:;!
! !!!
!" ! " !
" %# "!
"#$ !
!
!
#$%!&'()!*+,,-!*+!.+&!
!
!" ! "
!
""!#$#$"% #!
!
! $ &#$ ! " " $'%()#$ # $ &#$ "!
%! " &""&#$ # """% ! #
?&0%&(3.!*(&'! ! ! !-!&'+!)90&&+%(3.!%+)$3039+)!0%+!
!
!" ! !"#$%!#$ !&!%"!'!!#$ !&!("#(!!#$ !&!))"'*!#$ !&"""! "!
!
@"AF!0>!H'+3!&'+!+3+%.C!$4!&'+!(39(:+3&!80%&(9,+)!()!,+))!&'03!&'+!'+(.'&!$4!&'+!8$&+3&(0,!
+3+%.C!)&+8-!&'+!*02+!4139&($3!$3!&'+!%(.'&!)(:+!()!0!:+90C(3.!+78$3+3&(0,;!
!
#% #$%&" $ '$"%&" !""!!!" % #
!! ! "" # $
!
" )"
%& ($ !!!!!!!!!!!!!!!!""" & #
*'+%+!
!!
!
!"#
!!
!" "%" ! # #
$!
!!
!
5'+!6$13:0%C!9$3:(&($3)!0&!&'+!)&+8!0%+!
!"##"#$%
%
!
!&$'%
!"#$%$&'()*+',-$
! !!" " ! # " $ #
!
!
$! ! % "
"&'! " &'" $ (#
$% %$!
"#$%&'&#&(! &)(! *'+%&! (,#-&'./! '/&.! &)(! %(0./1! (,#-&'./! -/1! %.23(! *.+! &)(! +-&'.! .*! &)(!
+(*2(0&(1!-452'&#1(!&.!&)(!'/0'1(/&!-452'&#1(!
!"# ! !"$ ! % # # " $ $
!"# ! %# ! !"$ " %$ !
$ !" " %
!
# !" ! %
!
6)(!-$%.2#&(!%,#-+(!.*!&)'%!7'3(%!&)(!+(*2(0&'./!0.(**'0'(/&!
!
!!
"
!
#
!
!
$% " & % ! " & !
!
!"!
$% ! & % ! " & !
".!899:!.*!&)(!5-+&'02(%!-+(!+(*2(0&(1!-/1!&)(+(!'%!/.!5+.$-$'2'&;!.*!&+-/%4'%%'./<!!6)(+(!
'%!%.4(!5(/(&+-&'./! .*!&)(! =-3(!*#/0&'./!'/&.!&)(!%&(5>!$#&!&)(! =-3(!*#/0&'./!1(0-;%!&.!
?(+.!-/1!/(3(+!+(-0)(%!'/*'/'&;!@=)(+(!;.#+!1(&(0&.+!'%A<!
$A! B)(/! &)(! (/(+7;! .*! &)(! '/0'1(/&! 5-+&'02(%! '%! 7+(-&(+! &)-/! &)(! )('7)&! .*! &)(! 5.&(/&'-2!
(/(+7;!%&(5>!&)(!=-3(!*#/0&'./!./!&)(!+'7)&!%'1(!'%!-!0.452(C!(C5./(/&'-2D!
!
#% #$%&!" $ '$"%&!" "##!!!" % $
!! ! "" # $
!
%&% "
&% ($ "!!!!!!!!!!!!!!!##" & $
=)(+(!
!! !
!
""#
!"
"" " # ! $# #
!" !
!"
!
6)(!$.#/1-+;!0./1'&'./%!-&!&)(!%&(5!-+(!
!
! !!" " ! # " $ #
!
!
$! ! % "
"&'# ! " &'# " $ &'$#
$% %$!
"#$%&'&#&(! &)(! *'+%&! (,#-&'./! '/&.! &)(! %(0./1! (,#-&'./! -/1! %.23(! *.+! &)(! +-&'.! .*! &)(!
+(*2(0&(1!-452'&#1(!&.!&)(!'/0'1(/&!-452'&#1(!
!"##"#$%
%
!&$'%
!"#$%$&'()*+',-$
!"! # ! !"! $ ! !"" # # " $ $
!"! # ! !"" # ! !"! $ " !"" $ !
$ "! ! ""
!
# "! " ""
!
"#$!%&'()*+$!',*%-$!(.!+#/'!0/1$'!+#$!-$.)$2+/(3!2($../2/$3+!
!!
!
!
$" ! $! # "
"
!
! !
#
" $" $ $! #! $#
"
!
!
% ! % ! &# %
' !
% $ % ! &# &
4(! )$''! +#%3! 5667! (.! +#$! 8%-+/2)$'! %-$! -$.)$2+$9! %39! +#$-$! /'! '(:$! 8-(&%&/)/+;! (.!
+-%3':/''/(3<!!"(!2(3'$-1$!8%-+/2)$'=!>$!-$,*/-$!+#%+! ! ! " " ! =!'(!+#$!+-%3':/''/(3!/'!
!
"
"
"
#! $ #" # ! " #! ! #" #
#! ! #" #
"
"
##!#"
!
!
! ! !! " ! !!
" !
"
" #! $ #" #
" #! $ #" #
" #! $ #" #" "
?(+$! +#%+! ! ! "
9/..$-$3+<!
2@!!A)(+'B!
!
# $ $ ! %$
$ $ $ ! %$
#
"
!
!
# ! /3! +#/'! 8-(&)$:! &$2%*'$! +#$! >%1$! '8$$9'! (3! +#$! +>(! '/9$'! %-$!
R
1.0
0.8
0.6
0.4
0.2
T
0.5
1.0
1.5
2.0
E/V0
1.0
0.8
0.6
0.4
0.2
E/V0
0.5
1.0
1.5
2.0
!
!
"#$!-$.)$2+/(3!/'!*3/+;!*3+/)!+#$!$3$-0;!$C2$$9'!+#$!'+$8!#$/0#+=!%.+$-!>#/2#!+#$!-$.)$2+/(3!
9$2-$%'$'!:(3(+(3/2%));<!!"#$-$!%-$!3(!-$'(3%32$'!/3!+#/'!2%'$!&$2%*'$!+#$-$!%-$!3(+!+>(!
'*-.%2$'!+(!0$3$-%+$!:*)+/8)$!>%1$'!+#%+!2%3!/3+$-.$-$!D'$$!A-(&)$:!E<F6@<!
!
!"##"#$%
%
!&'(%
!"#$%$&'()*+',-$
!"#$%%&'()*+,-%./,%).,0%0'.,(.*12%)/'3(%4,2'35%
VHxL
V2
V1
%
x
a
-a
%
6,% 07.% ./,% 0'.,(.*12%).,0)% 1.% ! ! " % 1(+% ! ! !" %.'%819,%./,% 12:,4-1% )*8*21-%.'%./,% 3,22%
0-'42,8)%+'(,%,1-2*,-"%%;-'8%<-'42,8%!"=>?%3,%9('3%./1.%3,%(,,+%./,%*(@*+,(.%,(,-:A%.'%
4,% 14'B,% ./,% C*(12% ).,0% /,*:/.% .'% :,.% 1(A% .-1()8*))*'(?% )'% 3,% 1))78,% ./1."% % D/,% 31B,%
C7(@.*'()%*(%./,%./-,,%-,:*'()%1-,%E),,%FG"%H!"I>JK%
%
# #$%&! " $ '$"%&! " "##!!!!!!!#" % $(
%
! ! ! " " # $ )$%&%" $ *$"%&%" "##!!!#$( % " % ( %
%
+$%&& " "###!!!!!!!!!!!!!" & (
%&
D/,%31B,%B,@.'-)%*(%./,%./-,,%-,:*'()%1-,%
"" " # ! $$ #
"" " # ! $" #
""#
!! !
!#!!!!!$ !
!#!!!!!" !
%
"
"
!
!"
!
!
D/,%4'7(+1-A%@'(+*.*'()%C'-%1%31B,%*(@*+,(.%'(%./,%).,0)%E),,%FG"%H!">$JK%1-,%
%
! ! ! "" " ! #$"%&" " # '$%&" " $ ($"%&#" # )$%&#"
%
*! ! ! + "
!%&" #$"%&" " " %&" '$%&" " $ %&#($"%&#" " %&# )$%&#"
*+ +$" "
! ! ! " " !($%&#" # )$"%&#" $ ,$%&$ "
%
*! ! ! + "
!%&#($%&#" " %&# )$"%&#" $ %&$ ,$%&$ "
*+ +$"
L'2B,%./,%21).%.3'%,G71.*'()%C'-%!%1(+%"%
%
!"##"#$%
"!"#$!% " '"#$" % #! ! $" $! $
!"#$!% ! &"!#$!% " '"#$" %
!!!!!!"!!!!!
%
!"#$!% ! &"!#$!% " # $" $! $ '"#$" %
"&"!#$!% " '"#$" % #! ! $" $! $
%
!&'#%
!"#$%$&'()*+',-$
!"#"$%&$'(&)%&&%*+)(,-)(."&/,(,01()23%,"1*/4(
!!"!#$" % ! &"!#$#% ## " $# $" $ " '"#$#% ## ! $# $" $
(
!("#$" % ! &"!#$#% ## ! $# $" $ " '"#$#% ## " $# $" $
(
%*5(/36/,",3,)(.&1#(%617)4(
(
!!"!#$" % "!#$# % ! &"!# # $$% #$ " $# $$ $ #$ " $$ $" $ " &"# # $$% #$ ! $# $$ $ #$ ! $$ $" $
!'"#$" % "!#$# % ! &"!# # $$% #$ " $# $$ $ #$ ! $$ $" $ " &"# # $$% #$ ! $# $$ $ #$ " $$ $" $
(
!"#8$".'(
(
!!"!#" $" !$# #% $ & "#"$ ! $# $" # # %&' #$$% ! " $# $$ ! $$ $" # ## '() #$$% $%
!'"#" $" !$# #% $ & "#"$ ! $# $" # # %&' #$$% ! " $# $$ ! $$ $" # ## '() #$$% $%
(
%*5(/1$7)(.1&(,-)(&%,"1/(!9"(%*5(#9"(
(
!
"
! #!$# %! "%" $&
"
## " %" %! $ $%& "%#& ! # %" %# " %# %! $ $ &'( "%#&
## ! %" %! $ $%& "%#& ! # %" %# ! %# %! $ $ &'( "%#&
'
! # $ " %! &
"
## " %" %! $ $%& "%#& ! # %" %# " %# %! $ $ &'( "%#&
:(
;-)(%6/1$3,)(/23%&)(1.(!9"(+"7)/(,-)(&).$)<,"1*(<1).."<")*,(
(
!!
"" ! $!
! !
#
"" $ $!
"
!
$# # $%& ! !$"% $ " $! $" ! $" $# # &'( ! !$"%
!
!
$# # $%& ! !$"% $ " $! $" $ $" $# # &'( ! !$"%
!
!
(
;-)(&).$)<,"1*("/(=)&1(%*5(-)*<)(,-)(,&%*/#"//"1*("/(3*",'(0-)*((
!!"" ! " !# ! "# " !!#!!!!!# ! "# !# $#%%%(
(
%*5(
! !!
(
!" ! !" !# " # #!!!"!!!!" # !# !! >(
0-"<-("*(,)&#/(1.()*)&+")/("/(
(
! ! "! ! ! " ! ! "" #
"
"! ! ! ! ! " ! ! "" # ! ! ! ! ! ! "" !
#
(
?1&(,-"/( <-1"<)(1.(8%&%#),)&/>(,-)(0%7)/(&).$)<,)5(#3$,"8$)(,"#)/("*,)&.)&)(5)/,&3<,"7)$'(
%/("*(%*(18,"<%$(%*,"@&).$)<,"1*(ABCD(<1%,"*+:(
E:FG((;-)(,&%*/#"//"1*(8&16%6"$",'("/(HI2:(AE:GJKDL(
(
!!
!
!"##"#$%
!
"
" #$
%
%&'( # $
#% #"" ! # $ '
!"
# !
&
$# #"" ! # $
#
"
%
(
!&'$%
!"#$%$&'()*+',-$
!"#$%&'($)*##'+#$,+$-+%$
!!
$
!
!
#
&
# #!$% # $
#!""# $
&'() # %
# # %!!&"# $ #!""# ! %"# $ (
!"
$ # %"# $ #!""# ! %"# $
$ #!#$""#$% #" $
'$
#
!
! " !&'() #!!*$%$ $
#
! $*% ) !" !!"
$
./01$$2&+$)"345*#6$7"45'%'"4($8"#$*$,*9+$'47'5+4%$"4$*$)*##'+#$:;</$=./>?@AB$*#+$
! ! "! " ! "#"$%! # &#$%! $ '#" (! # )#(!
$
*! ! + "
!$%"#"$%! " $%&#$%! $ ('#" (! " ()#(!
*+ +$" !
! ! ! " !'#(! # )#" (! $ ,#$%!
$
*! ! + "
! ('#(! " ()#" (! $ $%,#$%!
*+ +$!
C"D9+$%&+$D*(%$%,"$+<3*%'"4($8"#$!$*45$"$
$
!!"#$ " &"'($ #" ! ' ( # $
!"#$ ! %"! #$ " &"'($
!!!!!!"!!!!!
$
!"#$ ! %"! #$ " ' # ( # $ &"'($
!%"! #$ " &"'($ #" ! ' ( # $
C"D9+$8"#$%&+$#*%'"$"8$%&+$-#",'4-$+EF"4+4%'*D$,*9+$7"+88'7'+4%$=!A$%"$%&+$5+7*6'4-$%+#G$
7"+88'7'+4%$="AH$
$
#" " & ' $ $ $
!
! #!!$%
"
#" ! & ' $ $
*45$8'45$%&+$#*%'"$"8$%&+$*)("D3%+$9*D3+(H$
$
!
! #!!$%
"
#" " & ' $ $#" ! & ' $ $ ! #!!$% $
#" ! & ' $ $#" " & ' $ $
I4('5+$%&+$)*##'+#$%&+$-#",'4-$F*#%$"8$%&+$,*9+$8347%'"4$'($ !"#$ $*45$%&+$5+7*6'4-$F*#%$"8$
%&+$,*9+$8347%'"4$'($ !"! #$ /$$2&+$#*%'"$"8$%&+'#$*GFD'%35+($'($
$
! "#$
% "!,#& "#$
!"#$%&!
!
!
! "!,#" &! $ # " - $
! #$
! #$
%"
'()*+%&! % "
J4D6$*%$%&+$8*#$#'-&%$('5+$"8$%&+$)*##'+#$*#+$%&+$%,"$,*9+($"8$+<3*D$G*-4'%35+/$
$
$
$
!"##"#$%
%
!&''%
!"#$%$&'()*+',-$
!"##$$%&'$()**'+,*-$./0121,+,(3$40/$2$12//,'/$04$5,6(&$!$,7$89:"$8!";<=>$5,(&$ ! ! !" >$
!!
$
#"
!"
!
"
"#
$
$
" "
$%&' # #$ $
"
#" " # "
9?.2*6$(&'$&3.'/10+,@$7,*'$(0$-'($
!!
$
#"
!"
!
$ #$
!#" #
"#
"
"
" "
#%
"
!$
$
$
! #% "
A0/$!!" ! !B$(&'$'?.0*'*(,2+$('/C$!!"# ! ! $60C,*2('7B$-,D,*-$
$
!!
!!
""
!
"
!#
"
#
!
" "
!#" #
"
$"#%
!#" " # "
""
"
!#
#
" "
$""#% "$
$
!"#E$ $ %&'$ 12//,'/$ &',-&($ ,7$ ':)2+$ (0$ (&'$ 50/F$ 4)*@(,0*$ 8=$'G>B$ 2*6$ (&'$ 12//,'/$ 5,6(&$ ,7$
! ! !" ! "#$ $40/$(&'$*0C,*2+$;$*H$@)//'*("$$%&'$1,27$D0+(2-'$,7$C,*,C2+$70$(&'$'+'@(/0*$
'*'/-3$,7$@+07'$(0$I'/0"$$%&'$6'@23$@0*7(2*($,*$(&'$5'++$,7$
$
!" "#" ! $ #
! " #$$%&# # " #&# ! "&# #
!!
!
! $$&%#% $
!
$!%"&#'" !" #
"
!
%&'$()**'+,*-$@)//'*($27$2$4)*@(,0*$04$12//,'/$5,6(&$,7$J9:"$8!";<K>L$
$
! ! " " # ! ! #!"$" $
$
5&,@&$-,D'7$
$
! ! ! ! " " # #$"$" ! ! "#%& # #
"
#
$" ##$%&% %& !# #%&
"
#
! #%' '$( " #! ( ! '$(' $
%&'$@)//'*(7$2($0(&'/$7'.2/2(,0*7$2/'$(&)7$
! ! " " # !"##$!$%" # !"##$
$
! ! ("!&' " # !"##$
!
"
!$ %%"&'& &' !% "
!
"
!$ %%"&'& &' !% ("!&'
# #!!&#
!
"%"$&' # %("$! (#
! !%"$&' " # !"##$
!$!%%"&'& &' "$&'
! $&' # !"##$
# %"% " %( !%# !#
!$ %%"&'& &'
!
"
!%
$
!%
$
!"##"#$%
%
!&'(%
!"#$%$&'()*+',-$
!"#$$%&'$()*+,*-.$/0123(*4204$25$
! "#" !
$
!!"
!"
" " " % #"! $ "" % $
"$! "$"
6'$ 05571'$ (&0($ (&'$ 8*('4(203$ 25$ 0$ 974:(2*4$ *9$ (&'$ 5'80;0(2*4$ *43.<$ 57:&$ (&0($
! ! !! " !# " # ! ! !! ! !# " # ! ! " " "$ $ =&04>'$ (*$ :'4(';$ *9$ 1055$ 04-$ ;'30(2?'$ :**;-240('5$ 7524>$
(&'$;'30(2*45$
" # ! "$#$
!%!# " #$ ! ## ! $
"" ##
"# ! "$
!
$
" ! #" " # # !$!# "#$ !
!
$
%"# # ! %##"
$
%" " %#
@4?';(24>$(&'5'$>2?'5$
"" ! # !
$
"#
""
"!$!"# ! # "
"
"" " "#
"" " "#
""
"#
%!$!$ # ! $ #$% "
%
$" ! !$ #$% "
"" " "#
"" " "#
!
A*)$57,5(2(7('$24(*$(&'$/0123(*4204B$
! "#" !
$
!!"
!"
" " " % # "! # "" $
"$! "$"
"
"
%
%
! "
$!
! "
$"
!
!! &'( "
#' "
! &'( "
#' " % # & $
$
$
$! " $" &
$! " $" &
"$! #
"$" #
"
"
%
! " " " $! % "
"$!
!
#
!
#"!
$ ! &'( " $
&'( ' "
$! " $"
"$! #
# $! " $" '&
&
$
$
"
"
%
! " " " $" % "
"$"
!!!!!!!!!!!!!
#
"
#"!
$ ! &'( " $
' " % #& $
&'(
$! " $"
"$" #
# $! " $" '&
&
!
!
! % "
! "&'( " !
! % "
"$
# " % #& $
"
$
'
" # $! $" & # $! " $" '&
C524>$ (&'$ -'9242(2*45$ *9$ (&'$ (*(03$ 1055$ ! ! "! " "" $ 04-$ (&'$ ;'-7:'-$ 1055$
! " ! " $! !! # ! !# % <$)'$>'($
$
! "#"
!! " !%&'
!
"
" ) "%# $
!$ ! (
04-$(&'$/0123(*4204$5'80;0('5$24(*$:'4(';+*9+1055$1*(2*4$04-$;'30(2?'$1*(2*4"$
D,E$$@4$(&'$8*52(2*4$;'8;'5'4(0(2*4<$(&'$/0123(*4204$25$
!"##"#$%
%
&'#%
!"#$%$&'()*+',-$
! "#"
!
!!"
! ""
!
!
"
"
!
"
" % # "! # "" $ !
!&""! $ "
!&"" " $ " % # "! # "" $
#
#
"$! "$"
"$!
"$"
" " $ #"
#"
#" ' " " $ #"
#"
#" '
!
" % # "! # "" $
!!
"
"
"
"
"$! &% #'!" ##!" #(!" )( "$" &% #'"" ##"" #("" )(
!
!
"#$%&!'()!*)+$%$',%#!,+!'()!-)%').!,+!/0##!0%*!.)10'$2)!-,,.*$%0')#3!'()!*).$20'$2)#!0.)4!
$"
!
!
!" ! !# !
!
!
"
!" "
!"" !"" !" !"" !#
!" $" " $# !#
!
!
$#
!
!
!" ! !# !
!
!
"
!
"
!"# !"# !" !"# !# !" $" " $# !#
!
0%*!1$5)6$#)!+,.!'()!,'().!-,,.*$%0')#7!!8()!-.,##!')./#!$%!'()!#)-,%*!*).$20'$2)#!-0%-)13!
&$2$%&!
! "#" ! !
" ! # "!
"!
"! & " ! # "!
"!
"! &
!
! ' " !" # !! #
!
!
!
!
!$" %$ "%"! "#"! "&"! (' !$! %$ "%!! "#!! "&!! ('
!
" ! # "!
"!
" ! # $" & # " !
"!
"! & &
!!
!
!
% ! ! ! ! ! !%
(
!$" $ "%
"#
"& $ $" ! $! (' %$ "( ! ") ! "* ! (' '
!
!
"!
" ! # $! & # " !
"!
"! & &
" ! # "!
!
!
!
!
!
!!!!!!!!
%
( ! ' "+ #
!$! $ "% ! "# ! "& ! %$ $" ! $! (' %$ "( ! ") ! "* ! (' '
!!
# "
" # "
" &# "
"
" &
"
"
" &
!
!
!
!
!
!
! ' "+ #
!
!
!
!
!
! %$ $" $! (' %$ "%
"#
"& (' ! " $" ! $! # %$ "(
")
"* ! ('
!!
" ! # "!
"!
"! & " ! # "!
"!
"! &
!
! ' "+ #
!
!
!
!
! $ %$ "% ! "# ! "& ! (' !, %$ "( ! ") ! "* ! ('
!!
"! ! "! !
)+ !
)- ! ' "+ #
!$
!,
!
!
!
!
!
!
!
!
!
!
8()!90/$1',%$0%!$#!#):0.0')*!$%',!'()!-)%').!,+!/0##!0%*!.)10'$2)!-,,.*$%0')#7!
!
;7<!!='):!>4!?.$')!'()!:0.'$01!*$++).)%'$01!)@A0'$,%!$%!'()!0::.,:.$0')!-,,.*$%0')!#B#')/4!
! "#"! "#" ! $"#"! "#"
!
$ !! ! !! !
'
& " ! " # % " !& # ' # ( $ % % ) ! "#" $ !" " % ! $"#"! "#" $ !" " %
(
!%
='):!<4!!""#$%!'(0'!'()!#,1A'$,%!-0%!C)!6.$'')%!0#!'()!:.,*A-'!,+!+A%-'$,%#3!0'!1)0#'!,%)!,+!
6($-(! *):)%*#! ,%! ,%1B! ,%)! 20.$0C1)7! ! D%! '($#! -0#)! 6)! #):0.0')! -)%').! ,+! /0##! +.,/!
.)10'$2)!-,,.*$%0')#4!
!
!"##"#$%
%
&'$%
!"#$%$&'()*+',-$
!
! !"! ! !! " " # ! #$ ! ! "!!! %&' ! " " !
"#$%!&'()!*))$+,-!).#$&(./!(/&.!&',!0*1&(*#!-(22,1,/&(*#!,3$*&(./!21.+!)&,0!45!!6,7*$),!.2!
&',!)0,7(*#!2.1+!.2! ! 8!&',!-,1(9*&(9,)!,*7'!*7&!./!./#:!./,!.2!&',!2$/7&(./)8!:(,#-(/%!
!
!! !
!! !
!" !" ! ! "
# # " #$% ! " " ! " #$% ! " "
# &" !" ! ! " $ ' ! # "" !" ! ! "" #$% ! " " % ()*)" !" ! ! "" #$% ! " "
!
#
!"
!
!
;&,0!<=!>(9(-,!?.&'!)(-,)!.2!&',!,3$*&(./!?:!&',!2$##!2$/7&(./=!
!
!!
!!
!
# !! " !"# " ! # !
# !&" %$ " " # $ ' " ! # % ()*) !
!
!"
!
!$
"
"
"
#
"
#
!"#
%$
!
;&,0!@=!A).#*&,!!""!.2!&',!-,0,/-,/7,!./!./,!7..1-(/*&,!./!./,!)(-,!.2!&',!,3$*&(./=!
!
!!
!!
!
# !! " !"# " ! # $ $ " ! # % %&'& $
# !*" )( " " # !
!
!"
!
!(
"
"
"
#
"
#
!"#
)(
!
;&,0!B=!C.D!(+*%(/,!7'*/%(/%!&',!().#*&,-!9*1(*?#,! !" !?:!*!)+*##!*+.$/&5!!A/!01(/7(0#,8!
&',!#,2&E'*/-!)(-,!.2!&',!,3$*&(./!7.$#-!7'*/%,8!?$&!/.&'(/%!./!&',!1(%'&E'*/-!)(-,!D.$#-5!!
F',1,2.1,8!(2!&',!,3$*&(./!()!&.!?,!&1$,!2.1!*##!9*#$,)!.2!!" 8!&',!0*1&(7$#*1!7.+?(/*&(./!.2!!" !
-,0,/-,/7,)!./!&',!#,2&E'*/-!)(-,!+$)&!1,)$#&!(/!/.!.9,1*##!-,0,/-,/7,!./! !" G#$%&"%'#(
$!)*&+,*%&-.+#&/%&!&01)+#!)#5!!H,!&'$)!-,2(/,!*!"#$%&%'()*!+)*"'%*'8!D'(7'!D,!7*##! !"#$% !
(/!&'()!7*),!
!
!!
!!
!
# !! " !"# " ! # $ $ " ! # % %&'& $
# !*" )( " " # $ %!"# !
!
!"
!
!(
"
"
"
#
"
#
!"#
)(
!
;&,0! I=! ! H1(&,! ,*7'! ,3$*&(./! (/! )&*/-*1-! 2.1+! ?:! +$#&(0#:(/%! ,*7'! ,3$*&(./! ?:! (&)!
$/J/.D/!2$/7&(./!&.!7#,*1!(&!21.+!&',!-,/.+(/*&.15!!K,*11*/%(/%!)#(%'&#:8!D,!.?&*(/!&',!
1,#*&(9,!*/-!7,/&,1!.2!+*))!,3$*&(./)!(/!&',!+.1,!)&*/-*1-!2.1+)!
!
# !! !
&
% ! ! ! " ! " " # ! $ ( ) !#$ # ! $ % %!#$) !#$ # ! $
$
'
!
!
# !
&
!
% ! !& " ' ( ) (& # " $ % %(& ) (& # " $
$
'
!
H',1,!
!
!"#" ! !$%& " !'( !
H,!&'$)!'*9,!&',!),0*1*&,-!,3$*&(./)!
!
! "#$! "#$ ! ! " # %"#$! "#$ ! ! "
! &' ! &' ! " " # %&' ! &' ! " "
!
!
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
!"#$%&'($)*$+,-&'$&.'$(/,&-/0$1-22','3&-/0$'45/&-63$-3$&.'$/((,6(,-/&'$766,1-3/&'$898&':*$
! ! # "!
"!
"! &
!
!
!
%$ "" ! "# ! "$ ! (' ) %! " ""# " $ # $ &%! ) %! " ""# " $ # $
!!
!
$
%&'($;*$!""#$%$&./&$&.'$8605&-63$7/3$<'$=,-&&'3$/8$&.'$(,6157&$62$2537&-638>$/&$0'/8&$63'$62$
=.-7.$1'('318$63$6309$63'$?/,-/<0'"$$@3$&.-8$7/8'$='$8'(/,/&'$/00$&.,''$766,1-3/&'8*$
! !" ! #!$ ! % " # & ! # " ' !$ " ( ! % " $
$
A05B$&.-8$/885:'1$8605&-63$-3&6$&.'$(/,&-/0$1-22','3&-/0$'45/&-63$2,6:$8&'($)"$$C'7/58'$62$
&.'$8('7-/0$26,:$62$ ! >$&.'$1',-?/&-?'8$'/7.$/7&$63$6309$63'$62$&.'$2537&-638"$$D39$(/,&-/0$
1',-?/&-?'8$ &./&$ /7&$ 6309$ 63$ /$ 2537&-63$ 62$ /$ 8-3B0'$ ?/,-/<0'$ :/9$ <'$ ,'=,-&&'3$ /8$ &6&/0$
1',-?/&-?'8>$9-'01-3B$
$
!
! ! # "!
"!
"! &
!
!
% " " # & "# # ' " $ # $ ()! % " " # & "# # ' " $ #
!! %$ "" ! "# ! "$ ! ('
!!
!
! !!
$
#
&
*!
*!
*!
&
#
'
$
%
"
!
%
"
'
$
&
#
!
%
"
&
#
'
$
"
#
"
#
"
#
"
#
"
#
"
#
"
#
"
#
"
#
!
!
!
%$
(' $ ()! % " " # & "# # ' " $ #
*"
*#
*$
%&'($#*!E-?-1'$<6&.$8-1'8$62$&.'$'45/&-63$<9$&.'$2500$2537&-63*$
$
%
!! " " $ !
" $!
" $!
!
"
#
#
%
&
#
' ! ( "' $ )*! $
! "
! "
!
!
!
$
!! # " ! # " $#
% !& " $&
' ! ( " $(
&
!
%&'($F*!@860/&'$&''$62$&.'$1'('31'37'$63$63'$766,1-3/&'$63$63'$8-1'$62$&.'$'45/&-63*$
$
%
" $!
!!
!! " " $ !
" $!
!
"
#
#
%
$
'
(
$
) ! * "' $
!
"
!
"
&!
!
!
!
$
!! " ! # " $#
!! # ' !( " $(
) ! * " $*
&
!
%&'($G*$H6=$-:/B-3'$7./3B-3B$&.'$-860/&'1$?/,-/<0'$ !" $<9$/$8:/00$/:653&"$$@3$(,-37-(0'>$
&.'$0'2&I./31$8-1'$62$&.'$'45/&-63$76501$7./3B'>$<5&$36&.-3B$63$&.'$,-B.&I./31$8-1'$=6501"$$
J.','26,'>$-2$&.'$'45/&-63$-8$&6$<'$&,5'$26,$/00$?/05'8$62$ !" >$&.'$(/,&-750/,$76:<-3/&-63$62$
!" $ 1'('31'37'8$ 63$ &.'$0'2&I./31$ 8-1'$:58&$,'850&$-3$36$6?',/00$1'('31'37'$ 63$ !" K()%*
'%+(,)&-.*"/.%*$#"(*0%*&*12-"(&-("$$+'$&.58$1'2-3'$/$"#$%&%'()*!+)*"'%*'>$=.-7.$='$7/00$
!" # $-3$&.-8$7/8'$
$
%
" $!
!!
!! " " $ !
" $!
!
"
#
#
%
$
'
(
$
) ! * "' ( % # $
!
"
!
"
&!
!
!
!
$
!! " ! # " $#
!! # ' !( " $(
) ! * " $*
&
!
D((09$&.'$8/:'$,'/863-3B$&6$&.'$&=6$(/,&8$62$&.'$,-B.&$./31$8-1'$&6$B'&*$
!
$
!"##"#$%
!! " $ !
" !# " " %#
!! " !# " $# !
!! " $ !
!
& ! ' " " %'
!
! !! & ! ' " $'
%
$
&'(%
!"#$%$&'()*+',-$
!"#$#%
!"# ! ! $ " !% " !& %
%
&'#(% )*% % !$+'#% #,-"% #./,'+01% +1% 2',13,$3% 40$5% 67% 5/8'+(87+19% #,-"% #./,'+01% 67% +'2%
/1:10;1%4/1-'+01%'0%-8#,$%+'%4$05%'"#%3#105+1,'0$<%%=#,$$,19+19%28+9"'87>%;#%06',+1%
!!
!!
!!
!
!!
!!
!
! !!
!
%
"!
$ ! # " # %# $ ! # "
"# !
"!
' !& " # %& ' !& " %
"& !
"!
) ! ( " " %( ) ! ( "
"( !
!#%'"/2%",?#%'"$##%2#(,$,'#3%#./,'+012<%
%
@<A%%B2+19%'"#%3#4+1+'+012%+1%C.<%D@<A@E>%;#%06',+1%
! "# " "$ # ! ! $%& % &% $ " &%# % #%& #
"
$ "
$
%
! $%& &%# % $%& #%& % &% $ &%# " &% $ #%& % &%# $%& " &%# &% $ " #%& $%& % #%& &% $
!
F0;% /2#% '"#% -055/','+01% $#8,'+012% '0% 50?#% -055/'+19% 0(#$,'0$2% '"$0/9"% #,-"% 0'"#$%
D#<9!>% !"# #"$ ! !"$ "# # E%,13%-,1-#8%'#$52*%
%
! "# " "$ # ! $%# %& & % #$%& %& % &&%# % $ " #% $ &%& % $%# &%& " &&%# % $ " #$%& %& % #% $ %& &
"
$
%
%
! $%# %& & " #% $ &%& % $%# &%& % #% $ %& &
!
G088#-'%'#$52%,13%/2#%'"#%-055/','+01%$#8,'+01% !" !! "! #$ ! #! %
!
! "# " "$ # ! #% $ &%& % %& & % $%# &%& % %& &
"
$
%
%
! #% $ !" &" %& #$ % $%# !" &" %& #$ ! '! #% $ % $%# ! '!"&
!
"
#
"
"
#
#
H+:#;+2#>%;#%9#'%
! "# " "$ # ! ! $%& % &%$ " &% # % #%& #
"
$ "
$
%
! $%& &% # % $%& #%& % &%$ &% # " &%$ #%& % &% # $%& " &% # &%$ " #%& $%& % #%& &%$
!
F0;%/2#%'"#%-055/','+01%$#8,'+012%'0%50?#%-055/'+19%0(#$,'0$2%'"$0/9"%#,-"%0'"#$%,13%
-,1-#8%'#$52*%
%
! "# " "$ # ! $% # %& & % #$%& %& % &&% # %$ " #%$ &%& % $% # &%$ " &&% # %$ " #$%& %& % #%$ %& &
"
$
%
! $% # %& & " #%$ &%& % $%$ &%& % #%$ %& &
!
G088#-'%'#$52%,13%/2#%'"#%-055/','+01%$#8,'+01% ! !! "! " # #! %
!
%
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
"
#
"
! "# " "$ # ! #%$ &%& % %& & % $% # &%& % %& &
"
$
!
!
"
#
#
! #%$ !" &" %& #$ % $% # !" &" %& #$ ! '! #%$ % $% # ! '!"&
!
"#$%&&'(!)*!+*,!
!" "# " "$ #$ ! !" #% & % &%$ " &%# % #% & #$
!
! $% & &%# % $% & #% & % &%$ &%# " &%$ #% & % &%# $% & " &%# &%$ " #% & $% & % #% & &%$
!
-.)!/0*!,1*!2.33/,%,#.$!4*&%,#.$0!,.!3.5*!2.33/,#$+!.6*4%,.40!,14./+1!*%21!.,1*4!%$7!
2%$2*&!,*4308!
!
!" "# " "$ #$ ! $%# % & & % #$% & % & % &&%# %$ " #%$ &% & % $%# &%$ " &&%# %$ " #$% & % & % #%$ % & &
!
! $%# % & & " #%$ &% & % $%$ &% & % #%$ % & &
!
9.&&*2,!,*430!%$7!/0*!,1*!2.33/,%,#.$!4*&%,#.$! !" !! "! #$ ! #! !
!
!" "# " "$ #$ ! #%$ &% & % % & & % $%# &% & % % & &
!
!
! #%$ !" &" % & #$ % $%# !" &" % & #$ ! '! #%$ % $%# ! '!"&
!
!
"
#
"
"
#
#
".4!,1*!2.33/,%,.40!)#,1!!"" (!)*!+*,!
!"" # "# # ! ! ""# " ""$ " ""% # "# # ! ! ""# # "# # " ! ""$ # "# # " ! ""% # "# #
"
$ "
$ "
$!
$ "
$ "
"
"
"
"
! "$ "# % "# "$ " "% "# % "# "%
!
!
:77!;*4.!,.!,1#0!*</%,#.$(!=/,!21..0*!,1*!,*430!,1%,!0/3!,.!;*4.!2&*5*4&'!0.!,1*'!1*&68!
!"" # "# # ! "$ "$ "# % "$ "# "$ " "$ "# "$ % "# "$ "$ " "% "% "# % "% "# "% " "% "# "% % "# "% "%
"
$
!##
#"###
$
!##
#"###
$
!$
!$
!
!
! "$ !" "$ # "# #$ " !" "$ # "# #$ "$ " "% !" "% # "# #$ " !" "% # "# #$ "%
! %&%"$ "% % &%"% "$ " &%"% "$ " &%"$ "% ! $
!
".4!,1*! !" !2.36.$*$,(!)*!+*,!
!"" # "# # ! ! ""$ " ""# " ""% # "# # ! ! ""$ # "# # " ! ""# # "# # " ! ""% # "# #
"
$ "
$ "
$ "
$ "
$!
"
"
"
"
! "$ "# % "# "$ " "% "# % "# "%
!
!
:77!;*4.!,.!,1#0!*</%,#.$(!=/,!21..0*!,1*!,*430!,1%,!0/3!,.!;*4.!2&*5*4&'!0.!,1*'!1*&68!
!"" # "# # ! "$ "$ "# % "$ "# "$ " "$ "# "$ % "# "$ "$ " "% "% "# % "% "# "% " "% "# "% % "# "% "%
"
$
!##
#"###
$
!##
#"###
$
!$
!
!
!"##"#$%
!$
! "$ !" "$ # "# #$ " !" "$ # "# #$ "$ " "% !" "% # "# #$ " !" "% # "# #$ "%
! &%"$ "% " &%"% "$ % &%"% "$ % &%"$ "% ! $
%
!
&'!%
!"#$%$&'()*+',-$
!"#$%&'$ !" $(")*"+'+%,$-'$.'%$
!"" # "# # ! ! ""$ " ""% " ""# # "# #
"
$ "
$
"
"
! !" "$ # "# #$ " !" "% # "# #$ " !" ""# # "# #$ $
$
! ""$ "# % "# ""$ " ""% "# % "# ""%
!
/00$1'#"$%"$%&23$'456%2"+,$75%$(&""3'$%&'$%'#)3$%&6%$35)$%"$1'#"$(8'9'#8:$3"$%&':$&'8*;$
!"" # "# # ! "$ "$ "# % "$ "# "$ " "$ "# "$ % "# "$ "$ " "% "% "# % "% "# "% " "% "# "% % "# "% "%
"
$
!##
#"###
$
!##
#"###
$
!$
!$
! "$ !" "$ # "# #$ " !" "$ # "# #$ "$ " "% !" "% # "# #$ " !" "% # "# #$ "%
! %&%"$ "% % &%"% "$ " &%"% "$ " &%"$ "% ! $
$
!
$
$
<=>$ 6?$ @&'$ *"33278'$ #'358%3$ "A$ 6$ )'635#')'+%$ "A$ %&'$ 6+.586#$ )")'+%5)$ (")*"+'+%$ !" $
6#'$68-6:3$!!!!"!#!"!!!! $A"#$6+$!! ! !$3:3%')=$$@&'$*#"767282%2'3$6#'$
$
!
!! !! "
"
"#
!
$
!
#
#$
!! !% "
&
"#
!! !' "!
"" "
%!
#$
"! "
"! "! "
&
#$
"! "' ""
!! "
%!
#$
!& !
!" !! !& !
'
#$
%!
#$
#
#$
! !" !! #$
#
P!! ! !" !! "
$!
"#
$!
"#
"! "" "
#
#$
!! "
"
"#
! "! #$
#
P! ! "! !
$
! !! #$
"
P! ! !! !
!" !! !! "
%!
#$
#
#$
!% "
!' "! %&
&
"#
"
&
#$
!
"
"
"#
"
"' "" %&
#
#
#
'
#$
!
%!
#$
!" !! %&
!" !! !" !!
#
! !
$
!
&
"#
$
!
$
#$
#
'
#$
#
$
!
!(
#$
@&'$%&#''$*#"767282%2'3$600$%"$5+2%:,$63$%&':$)53%=$$
7?$ @&'$ *"33278'$ #'358%3$ "A$ 6$ )'635#')'+%$ "A$ %&'$ 6+.586#$ )")'+%5)$ (")*"+'+%$ !" $6#'$
68-6:3$!!!!"!#!"!!!! $A"#$6+$!! ! !$3:3%')=$$@&'$*#"767282%2'3$6#'$
$
P!! !
!
$
!
!! !
!
"%
P! ! !
!
!"##"#$%
"
!
"
&"
" "%
"! !
#
# #%
#
!
$
!
"
"
#
!! "
"
"%
!
'
# #%
"
"
#
!
"
!# " !" !$ "!
!
!
()
"
#
"" "
!
&(
)*
"
" " " &" !
"
#
"$ ""
%
#"
$#
"
"%
!! "
&"
"%
!# "
'
"%
!$ "!
$
"
$
!!
()
#
#%
"" $
&"
#%
"! "
'
#%
"$ ""
#
#
$
&'&%
!"#$%$&'()*+',-$
!
P!!! !
!
!
#
!" !! " "#
!
#%
!
!
&"
# #%
#
!
#
#
#%
!! !
!
#
!
!$ " !# !" !!
!
#
#
! # ! &" !
!
()
$#
!! "
#
#%
!$ !
&"
#%
'
#%
!" !!
$
#
!
!!
()
"#$!%#&$$!'&()*)+,+%+$-!*..!%(!/0+%12!*-!%#$1!3/-%4!!
56!"#$!#+-%(7&*3-!*&$!-#(80!)$,(84!
P
P
1
1
P0
P-1
P0
0
-—
!
P-1
P1
Lz
—
P1
0
-—
Lx
—
!
!
94:! *6! "#$! '(--+),$! &$-/,%-! (;! *! 3$*-/&$3$0%! (;! %#$! *07/,*&! 3(3$0%/3! 5(3'(0$0%! !" !
*&$!*,8*1-!!!!!"!#!"!!!! !;(&!*0!!! ! !!-1-%$34!!"#$!'&()*)+,+%+$-!*&$!
!
!
!
!
!#
!
!
!! !! "
P! ! "! !
"
"$
!
! "! #$
#
#
"
"$
"" "
! !" !! #$
#
"$
"
"! "& ""
!& " !
#
!$
#
!$
!
! "
!" !! !" !!
!
!
!#
#
#
%
"$
!" !! %&
#
!
"
!
!#
"& "" %&
#
"$
#
%
!$
!" !! !& " !
%
!$
"! " !
"
!& "! %&
"
!#
!! !& "!
"
!#
!! !
!
!$
!% " !
$
!#
%
"$
"! "! " !
%
"$
!" !! !! !
!! "
!
!#
!! !% " !
$
!#
"! "" "
P!! ! !" !! "
!
!$
! !! #$
"
P! ! !! !
!
!
'
"$
#
!!
#
!$
#
!
!
$
!$
"#$!%#&$$!'&()*)+,+%+$-!*..!%(!/0+%12!*-!%#$1!3/-%4!!
)6! <(8! %#$! +0+%+*,! -%*%$! +-! ! ! !" "! 4! ! "#$! '(--+),$! &$-/,%-! (;! *! 3$*-/&$3$0%! (;! %#$!
*07/,*&! 3(3$0%/3! 5(3'(0$0%! !" ! *&$! *,8*1-! !!!!"!#!"!!!! ! ;(&! *0! !! ! !! -1-%$34! "#$!
'&()*)+,+%+$-!*&$!
!
!
!
P!! !
!
P! ! !
P!!! !
!
"
!
"! !
#
!! !
!
!" !! "
#
#
!! "
!
"
!
"
!
#
!
#
"
#
$
"" "
!! !
"
!
! "
"
#
!# " !" !$ "! !$ "!
!
"
"
#
#
"$ "" "$ ""
$
#
!$ " !# !" !! !" !!
!
#
#
! "
"
#
!
! !% !
! "# !
! #
#
! !% !
"#$!%#&$$!'&()*)+,+%+$-!*..!%(!/0+%12!*-!%#$1!3/-%4!!
56!"#$!-5#$3*%+5!.+*7&*3-!(;!%#$-$!3$*-/&$3$0%-!*&$!-#(80!)$,(84!
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
|1〉
Lz 0
7
|0〉
64
|−1〉
29
|1〉x
Lz 0
Lx 0
|−1〉
25
|0〉x 50
|−1〉x
!
25
!
!
"#"!$%&!'())*+,&!-&).,/)!(0!1!2&1).-&2&3/!(0! !! !1-&!1,415)! !! " ! ! !# " " 6!4%&-&! !! !*)!/%&!
137.,1-! 2(2&3/.2! 8.13/.2! 3.2+&-#! ! $%&! '())*+,&! -&).,/)! (0! 1! 2&1).-&2&3/! (0! /%&!
137.,1-!2(2&3/.2!9(2'(3&3/! !" !1-&!1,415)! !!! 6!4%&-&!!! ! !!"! #!!:5!*3)'&9/*(3!4&!
913!)&&!/%1/!/%*)!)5)/&2!%1)!(3,5! !! ! !!13;! !! ! ! 6!4*/%!'())*+,&!!!<1,.&)!(0! ! ! !"#" $ #!!
1=!!$%&! !! !'-(+1+*,*/*&)!1-&!
!
P!!! !
#
!
#
!! !
"
""
"
!
!
!
!
!
P!!! !
"
!
!#
!!
!!" !
!!" !
!
!
!
!
#
"
!#
!! !
$
!#
!
!!
!!" !
!!" !
!
!
!#
!! "
"
!#
!# " "
"" " "
"
!#
!
!#
$
"#
"
!
!
"
!
#
#
#
"
"#
"" "
!
"#
"# " "
!
"#
!! " "
"
"#
$
!#
!
!
!
! " !"# " " ""# ! "#$ ! "!
!
$%&!/4(!'-(+1+*,*/*&)!1;;!/(!.3*/56!1)!/%&5!2.)/#!!
1=!!$%&! !" !'-(+1+*,*/*&)!1-&!
"
!
P!!! ! # !! !
! $
"
#!
"
""
"
P!!! ! # !! !
!!!
!
!"##"#$%
!
!
!#
"
"
! # !!
!!!
!!!
!
!
"
#
#!
"
"
! #!$ !
"
! # !!
!!!
#
#
#!
## $
"
#!
#! " "
"
#!
"" " "
#
#!
"!
$
"
!
#
"
#
!
!#
!! $
"
!#
!# " "
"
!#
"" " "
!
!#
"#
$
"
!
! !#!
%
&'(%
!"#$%$&'()*+',-$
"
!
P!!! ! # !! !
!
!
!"
!
"#
! # !!
!!!
!!!
!
"
! "#$ !
#
"
"#
"" $
!
"#
"# " "
!
"#
!! " "
"
"#
!#
$
!
!
!
%
"#$!%#&$$!'&()*)+,+%+$-!*..!%(!/0+%12!*-!%#$1!3/-%4!!
56!"#$!#+-%(7&*3-!*&$!-#(80!)$,(84!
P
P
1
1
P2
P1
!
0
2—2
6—2
P0
P2
P1
L2
-2— -—
0
—
2—
Lz
!
!
94:!!;-$!%#$!5#*+0!&/,$!%(!8&+%$!%#$!<*&%$-+*0!.$&+=*%+=$-!+0!%$&3-!(>!-'#$&+5*,!5((&.+0*%$-!
!
! !" ! !" ! !# !
!
"
"
!! !! !" !! !" !! !#
! !" ! !" ! !# !
!
"
"
!
!# !# !" !# !" !# !#
! !" ! !" ! !# !
!
"
"
!$ !$ !" !$ !" !$ !#
?$!0$$.!%#$!-'#$&+5*,!5((&.+0*%$-!+0!%$&3-!(>!%#$!<*&%$-+*0!5(&.-@!
! ! " ! " #! " $ !
!
#
&
$
! ! "#$ "% % !
(!
!
!
$ " "# "$ '
# #&
) ! &'( "% % (
$ "'
"#$!&$A/+&$.!'*&%+*,!.$&+=*%+=$-!*&$!
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
!!
!
!"
"
" ! " #! " $ !
!
!! #
!! $
"
! "#$ " %&" # '!! ! ! "#$ " "#$ # '!! ! ! %&""
!# !
!$ !
!
!"
(
(
% $$" ( %&"" %&" # !"
% $$# ( %&"" "#$ #
!$
'!!
!$
'& ) *) !
' ) *!
!
!
!
!
!"
!
!#
!
!
($ $ !
($ $ ! & ! )
!
% ( $! (
"#$ #
!"
(
"#$ " !#
(
% $# (
!
$
!$
$
!
$
'!!
!
*
'
)
!
!
!
'
*
!$
!
!" ( " # " & " )
! "#$ "
( $ $! ! ! & ! ! )
!
!#
(
% ( ( %&" # !#
!
!
'!! ! *
!
! ' *
!# ( " # " & " ) ! "#$ " !$
"#$$%&'!$()*)!%&$+!$()!,&'#-,.!/+/)&$#/!)0#,$%+&!1+.! !" !'%2)*!
% % "& " "# " "$ " (
% "& " "# " "$ " ( (
! ''
"# ! !$" ' % '
!
!
!
!
*
& "% "& "% "# "% "$ *) *)
& & "' "& "' "# "' "$ )
% %
%
" $%& # "
" "#$# $%& $ "
"(
"#$ $ " ( (
! ' * ! ' ' $%& # $%& $ !
!
! !$" ' % ' "#$# !
& "#
&
"&
"&
"# & $%& # "$ *) *)
"$ )
&
& &
(
%%
"
"(
(
*
' '& & "#$# $%& # $%& $ "& ! $%& # $%& $ "# *)
*
'
! !$"
' %
"
" "#$# "#$ $ " ( *
(
!
*
' ! ' & "#$# $%& # $%& $ ! "#$ # $%& $
$%& # "$ *) )
"&
"#
& &
!
!
%
"
"(
! $" ' $%& $
! "#) # "#$ $ *
"#
"$ )
&
!
"#$$%&'!$()*)!%&$+!$()!,&'#-,.!/+/)&$#/!)0#,$%+&!1+.! !" !'%2)*!
% % "& " "# " "$ " (
% "& " "# " "$ " ( (
!
'
"# ! !$" ' % '
!
!
'& "% "& ! "% "# ! "% "$ *) *)
& & "' "& "' "# "' "$ *)
% %
%
" %&"# %&" $ "
" "#$ # "
"#$ $ " (
" ((
!
'
%&"
!
#
!
!
'
! !$" ' % ' "#$ # %&" $ !
'&
&
& "#
"&
"# & "#$ # "$ *)
"&
"$ *) *)
& &
%%
"
" %&"# "#$ $ " ( (
(
' '& & "#$ # %&"# %&" $ "& ! %&" # %&" $ "# ! "#$ # "$ *) *
*
! !$" '
*
' %
(
"
"
(
*
' ! ' & "#$ # %&"# %&" $ ! "#$ # %&" $ *
"&
"# )
)
& &
!
!
!
%
"
"(
! $" ' ! %&" $
! %&) # "#$ $ *
"#
"$ )
&
!
!
!
!"##"#$%
%
&'##%
!"#$%$&'()*+',-$
!"##$%&'#()*)'$%#+'#()',%&"-,.'/+/)%#"/')0",#$+%'1+.' !" '&$2)*'
% % "& " "# " "$ " (
!
"# ! !$" ' % '
!
!
& & "' "& "' "# "' "$ *)
% "& " "# " "$ " ( (
''
!
!
& "% "& "% "# "% "$ *) *)
% %
" %&"# "#$ $ "
%&" $ " ( (
!
' % '& "#$ # "#$ $ "& !
&
"# & "#$ # "$ *) *
*
'
! !$"
' %
" %&"# %&" $ "
"#$ $ " ( *
!
*
' ! ' ' "#$ # %&" $ !
&
"&
"# & "#$ # "$ *) )
& &
'
%%
"
"
"( (
'
'
' '& & "#$ # "#$ $ %&" $ "& ! "#$ # %&"# "#$ $ %&" $ "# ! %&" $ "$ *) *
*
! !$" '
' %
"
"
" (*
'
! "#$ ' $ * *
' ! ' & "#$ # "#$ $ %&" $ ! "#$ # %&"# "#$ $ %&" $
"&
"#
"$ ) )
& &
!
! !$"
'
"
"$
3+.'#()'+4).,#+.' !! 5'6)'&)#'
"" ! ""# " ""$ " ""%
"
"
%
%
% #(
#
#(
#
#(
! !" ' #$% "
" &'( $ &'# " * ! " " ' ! &'# "
" &'( $ #$% " * ! " " ' *
#$
#" )
#$
#" )
&
&
& #" )
"
"
(
% " # " #$% " &'# " #
#"
#$%
"
!
"
"&'(
$
#$%
"
&'#
"
*
'
"
"
#$#"
#$
#$% $ #"
"
*
'
! !"
"
*
'
#
#
#
"
" &'( " $ &'# " " " ! &'( " $ #$% " &'# " *
' " &'( $ &'# "
#$
#" )
&
#"
'
'
(
% " # " #$% " &'# " #
#"
&'#
"
"
!
"&'(
$
#$%
"
&'#
"
*
'
"
"
% " (
#$#"
#$
#$% $ #"
* ! "" #
!!!" " '
' #" " *
'
&
)
#
#"
#*
"
"
"
"
" &'( $ #$% " " " &'( $ #$% " &'# " *
' " &'( $ #$% "
#$
#" )
&
#"
!
% #"
#
#"
#" (
" &'( " $ " " " *
! !" " ' " " &'( $
#$
#"
#" )
& #$
6($7('7,%'8)'.)'6.$##)%',*'
'
$ # # $
#'
# #" '
!
$%&
"
"" ! !" " &
'
$%& " #" &%
#" )( $%& " " #* " )(
%
!
'
'
'
!"##"#$%
%
&'#$%
!"#$%$&'()*+',-$
!"#$$%&'$(')*+,-$./+('$0,12-*/)2,)$23$
# ",
"" ) # " # " " &
!
" . " $ $#% $
$
" !!
+ " %#
" ! * # "# $ "# (' " " # " !
%&'$(/114*,*/+$52*&$*&'$,)64-,+$1/1')*41$/7'+,*/+$ !! $23$$
' "# ! $ & ' # & *
*
#
$
! " ""# # ! ) %
% # # "# . " $ %#&, "#
- # )#
,
"
$
( # ! " # &# ( &# + " #
+
$
' "# ! $ & ' # & *
*
$ ##
%
!!!!!!!!!%"# ) %
"
"
$
%#&
- # )#
.
,
# #
,
( # ! " # &# ( &# + " #
+
$
$
!
$
#
! $ & ' # & *#
"# ! $ & ' # & * # #
# "
#
#
"
"
!%
"
- # )#
- # )#
.
. " $ %#&" % " $ %#&
,
,
# ! " # &# ( &# + $
# ! " # &# ( &# + $
!! $ &,3$ 8'+29,*29'3$ /)-:$ 52*&$ +'37'(*$ */$ ,)64-,+$ 9,+2,;-'3<$ 3/$ 2*=3$ /+8'+$ 52*&$ +'37'(*$ */$
+,82,-$9,+2,;-'3$(,)$;'$(&,)6'8<$6292)6$
"# ! $ & ' # & * # # "# ! $ & ' # & * # #
#
#
#
!
#
$
" " "" $ ! % # ! - # # &# )( # &# ,+ . " " # ! - # # &# )( # &# ,+ . " " $ %#&" % $ %#&" # ' $
"
"
$
$
!
3/$*&':$(/114*'"$%&'$(/114*,*/+$52*&$*&'$,)64-,+$1/1')*41$/7'+,*/+$ !" $23$$
' "# ! $ & ' # & *
*
$ ##
!" " " #$ #$ ! ) %
%
"
"
&
%%&
- # )%
.
, #$
# #
,
( # ! " % &% ( &% + " %
+
$
' "# ! $ & ' # & *
*
$ ##
%
!!!!!!!!!% #$ ) %
"
"
&
%%&
- # )%
.
,
# #
,
( # ! " % &% ( &% + " %
+
$
$
!
$
"# ! $ & ' # & * #
"# ! $ & ' # & * #
%
%
!%
. # " #$
. " & %%&#$ % #$& %%&
# ! " % # &% )( &% ,+ $ $
# ! " % # &% )( &% ,+ $
5&'+'$5'$ 43'8$ !" !! " !" #$ ! # "$ $ !" $&,3$8'+29,*29'3$ 52*&$+'37'(*$*/$ ,)64-,+$9,+2,;-'3$ /)-:$
> ! ?<$3/$2*=3$/+8'+$52*&$+'37'(*$*/$+,82,-$9,+2,;-'3$(,)$;'$(&,)6'8<$6292)6$
"# ! $ & ' # & * #
"# ! $ & ' # & * #
!" " " #$ #$ ! %
%
"
%
#
.
. # " & %%&#$ % & %%&#$ # ' $
# ! " % # &% )( &% ,+ $ $ # ! " % # &% )( &% ,+ $ $
!
3/$*&':$(/114*'"$
$
!"@A$B*'7$@C$D+2*'$*&'$7,+*2,-$82..'+')*2,-$'E4,*2/)$2)$*&'$,77+/7+2,*'$(//+82),*'$3:3*'1C$
$
! "
! "
""" ! #" # #!! " !" ! #"
$
!"##"#$%
$
% $ $ %
$(
$ $" (
"
$
#! " '
%&'
!
!
#
"
#
#!!
!"
!
#
"
"
%&' ! $! '&
$! *) %&' " ! $" " *)
! &
! "
%
! "
&'#(%
!"#$%$&'()*+',-$
!"#$%&'%!""#$%%"()"%"(#%*+,-".+/%0)/%1#%23.""#/%)*%"(#%$3+4-0"%+5%5-/0".+/*6%)"%,#)*"%+/#%+5%
2(.0(%4#$#/4*%+/%+/,7%+/#%8)3.)1,#'%
! "
!" !"
" ! "" # # ! $ " %
!
%
9,-:%"(.*%)**-;#4%*+,-".+/%./"+%"(#%$)3".),%4.55#3#/".),%#<-)".+/%53+;%*"#$%=>%%?#0)-*#%+5%
"(#%*$#0.),%5+3;%+5% !" 6%"(#%4#3.8)".8#*%#)0(%)0"%+/%+/,7%+/#%+5%"(#%5-/0".+/*>%%@/7%$)3".),%
4#3.8)".8#*% "()"% )0"% +/,7% +/% )% 5-/0".+/% +5% )% *./:,#% 8)3.)1,#% ;)7% 1#% 3#23.""#/% )*% "+"),%
4#3.8)".8#*6%7.#,4./:%
%
(
# " %
" (
""
#
+
!! ' " #
$%&
$
$
#
+
$
"
#
%
$ #!! "+ $ " # %
*
"
"
'
*
$%& $ "$ &
"$ )
"#
$%& $
)
! &
!"#$%A'!B.8.4#%1+"(%*.4#*%+5%"(#%#<-)".+/%17%"(#%5-,,%5-/0".+/'%
"
!"
!"
!"
!"
!" !"
$
'
#
" $
" '
""
#
"
%
"
!! &
$%&
#
#
#
*
+
) $ #!! %
"
&
)
"
"# (
* + $%& # "+
% " # $%& # "# %
(
!
!"#$%C'!D*+,)"#%&''%+5%"(#%4#$#/4#/0#%+/%+/#%0++34./)"#%+/%+/#%*.4#%+5%"(#%#<-)".+/'%
"
!"
!"
!"
!"
"#$ ! " #
" &
& "%
%
%
"#$ ! ( " ! # #"#$ ! $ )
*+ %
"! '
" ! "! %$
* + "+ %
!
!"#$%E'%F+2%.;):./#%0()/:./:%"(#%.*+,)"#4%8)3.)1,#% ! %17%)%*;),,%);+-/">%%D/%$3./0.$,#6%
"(#%,#5"G()/4%*.4#%+5%"(#%#<-)".+/%0+-,4%0()/:#6%1-"%/+"(./:%+/%"(#%3.:("G()/4%*.4#%2+-,4>%%
H(#3#5+3#6%.5%"(#%#<-)".+/%.*%"+%1#%"3-#%5+3%),,%8),-#*%+5% ! 6%"(#%$)3".0-,)3%0+;1./)".+/%+5%
! %4#$#/4#/0#*%+/%"(#%,#5"G()/4%*.4#%;-*"%3#*-,"%./%/+%+8#3),,%4#$#/4#/0#%+/% ! I()%*'%+(,
)&-.*"/.%*$#"(*0%*&*12-"(&-(>%%J#%"(-*%4#5./#%)%"#$%&%'()*!+)*"'%*'6%2(.0(%2#%0),,% !" %
./%"(.*%0)*#%
!"
!"
!"
!"
"#$ ! " #
" &
& "%
%
"
"#$
!
!
#
#"#$
!
$
)
* + , $%
"! ('
" ! "! %$
* + "+ %
!
!"#$% K'% % J3."#% #)0(% #<-)".+/% ./% *")/4)34% 5+3;% 17% ;-,".$,7./:% #)0(% #<-)".+/% 17% ."*%
-/L/+2/%5-/0".+/%"+%0,#)3%."%53+;%"(#%4#/+;./)"+3'%
%
!"
!"
!"
" " "
" %
#
#$% ! ' ( ! ) & ( ! # ) $( !
$
#$% ! "! #
"! &
#$% !
!"
%
!"
!"
"&
+ * # )#+ *
"* &
!"
!
J#%"(-*%()8#%"2+%*#$)3)"#4%#<-)".+/*>%
%
%
%
%
!"##"#$%
!"
%
!"
%
&'#(%
!"#$%$&'()*+',-$
!"##$$%&'$'()'*+,-,'+$-.'$
$
!
$
" ! ! " "" # !
%#
#$"" $
%&'$(**'.$/.0123,$40.$ ! ! " $(+$
#!
#!
'
"
"
#!
" # ! " #$" %$ &# # %$ &$$ ! "
$
'
!
#!
& %&" #%"#$
(
(' & # % "
"
#!
'
#!
%&#$ $$ !
%"
#
# ! & #%" $
"
"
$$
$
#!
#
"
#
$% %"$
#!
#!
'
"
"
#!
" " ! " #$" %$ &# " %$ &#$ ! "
!
%&2+5$6'$)',$
'
& #%" # !
)
' & % " # % ' ) ' & '% ' )
+ !
+!
+!"
(
(
#! (' & # % " +* #! (' & # % " +*
+*"
!
%&'$(**'.$/.0123,$40.$ ! ! " $(+$
$
%% &"$
$
!
"
'
#!
#
'
#!
$%"$ #$ !
"
#!
"
#$ !
#!
! '$
#!
" # ! ! "# $
-*1$,&'$+,-,'+$-.'$0.,&0*0.7-8"$
$
!"#9$ $ %&'$ 0:+'.;-:8'$ !" $ 40.$ -$ /-.,(38'$ 0*$ -$ .(*)$ &-+$ /0++(:8'$ 7'-+2.'7'*,$ .'+28,+$
!!" ! #! "$$<0.$,&(+$+,-,'$,&'$/.0:-:(8(,('+$-.'$
#
$
# % !"!" # !"! "# !"! " $ !
! # # % !"!" # !"! "# !"! " $ !
! "# # % !"!" # !"! "# !"! " $ !
! % # % !"!" # !"! "# !"! " $ !
"
P" !""$ ! " !
"
P" !"#$ ! # !
#
P" !"#$ ! "# !
#
"
! "
"
#
$
"
#
$
"
"
#
$
"
$
"
"
#
$
"
! $# ! %&#'
! $' ! %&()
"
#
$
$
! ! %&#'
#
$
"
#
#
! %!
! $# ! %&#'
P
$
$
! "# !%$
%&'+'$-).''$6(,&$,&'$.'+28,+$+&06*$(*$<()"$!"="$
$
!"#>$-?$$<0.$,&(+$+,-,'$,&'$/.0:-:(8(,('+$04$-*$ !" $7'-+2.'7'*,$-.'$
P" !""$ ! " !
"
P" !"#$ ! # !
"
#
$
#
P" !""$ ! "" !
! #
!"##"#$%
#
$#
!! "
!!
"
!!
$ !%
# !"!% "" ! $ !
!
"$ # # !"!% "" ! $ ! %
#
"
# !"!% $" "" !
#
"
"
$
"
#
"
%
"
$
"
#
"
"
"
$
"
#
&
"
$
!
$
&
&'#(%
!"#$%$&'()*+',-$
!"# $%&# &'&()*# !!! ! ! # +,((&-.,'/-# 0,# ! ! ! 1# # 2,(# 3'# &'&()*# 4&3-5(&4&'06# 0%&#
.(,!3!78707&-#3(&#
#
P" ! " !
"
P" ! # !
! #
"
"
" "" !
" "# !
"
"
#
##
#
"
!! "
!!
#
"
$ " "" #
"" ! $ " "# #
# !"!# $" "" !
# !"!#
$
"
"
"
#
"
#
"
$ !#
"" ! $ !
"
# !"!# $" "" !
# !"!#
$
"
"
"
$
"
"
#
"
!!
!!
$
%
#
#
%
+"#$%&#&9.&+0307,'#:385&#,;# !" #7-#
#
!
"# ! ! "# ! !
#
$ $! P
"# !$%
$!"#
#
$
#
! "!P" !""% " "#! P" !"#% ! "! $" " "#!
#
#
$
%
$
! &$ ! #
/"#$%&#&9.&+0307,'#:385&#,;#0%&#&'&()*#7-#
"
"
$# ! #
## ! #
$# ! #
!# &
$&! #
$
# " ! ! # ! ! # "$ P" ! #
P" !
P "
P !
% "'% !
#
$
$
#% "#
#% "$ #% %
(%
$!"
$!" #%
!
#
$
#
<1=># 3"# $%&# .,--7!8&# (&-580-# ,;# 3'# &'&()*# 4&3-5(&4&'0# 3(&# ! " ! " ! ! ! !# 1# # 2,(# 0%7-#
!
-030&6#0%&#.(,!3!78707&-#,;#3'#&'&()*#4&3-5(&4&'0#3(&#
"
P" ! " !
"
! "
#
# % " # # " "# " " & "" ! $
#
#$
! ""#
"
#
#$
"
P" ! # !
#
! #
! #
#
#$
#
#$
"
"
" "" !
"&
#
#$
"
"
" ""
#
#$
"
#&
! #$
"
" "# !
#
# % " # # " "# " " & "" ! $
"
" "#
#
#$
# % " # # " "# " " & "" ! $
"
! #$#
#
"
P" ! % ! ! % ##$ % " # # " "# " " & "" !
! %
$%&#&9.&+0307,'#:385&#,;#0%&#&'&()*#7-#7-#
"
#
# % " # # " "# " " & "" ! $
"
!
#
#$
"
! #$#
"
$# ! #
"# ! #
$# ! #
## ! #
P" !
P" "
P" "
P
$
"
#%
#% $
#% "#
$!" #%
" ! ! # ! ! # "$ P" ! #
$
$!"
!# $
%'! #
$'
!
" $% " $ $%$ " & $%
!
#%
'"%
#
$
$
#
!
!"#$%&#,!-&(:3!8&# !" #%3-#.,--7!8&#4&3-5(&4&'0#(&-580-# !" ! #! 1##$%&#.(,!3!78707&-#,;#3'#
!
!" #4&3-5(&4&'0#3(&#
!"##"#$%
%
&'#!%
!"#$%$&'()*+',-$
# % " % # " "% " " & "" ! $ ! ""%
# ! !! # # % " % # " "% " " & "" ! $ ! %
!
% ! !! %
# % " % # " "% " " & "" ! $ ! !
"" ! !! ""
# % " % # " "% " " & "" ! $ ! &
"
P" !""$ ! " !
#
P" !"#$ !
#
!
P" !%$ !
#
!! "
"
"
!
!
$ $! P
"# !$%
#
! "! " #! " $! " ""!
%
#&
#
#&
#
#&
#
#$
"
"
"
#
#$
#
$!"#
#
#$
"
#
#$
P
!
! "# !""$
"#$!$%&$'()(*+,!-)./$!+0! !" !*1!
#
#$
"
#
#$
"
"# ! ! "# ! !
"
#
#$
#
#$
#
"
! #$'
#
#$
!
#
#$
"
! #$(
$
! "!P" !""% " #!P" !"#% " $!P" !$% " ""! P" !""%
$
#
'
#&
#
#
#
!
!" !!" !
'
#&
(
&
!
2345!!)6!7+89).*:$!(#$!;)-$!0/,'(*+,<!
!! ! ! ! $
"#
'
!
"
!
!
" "#
"" ! ! $
""
' ( " ( #$% &" " #$% " &"
" " #$% &"
"#
, (
/
%-, &"
&" )
& !
! ! .
*+, %! (
*+, + %
1
' &
" * ) # " " #$% &" $ 0 '
-) &
!
"
"#$!)8'(),!0/,'(*+,!*1!&8+=.$9)(*'!=$')/1$!+0!*(1!.*9*($>!8),?$3!!@++A*,?!)(!(#$!*,($?8),>!
),>!(#$!8$1/.(),(!*,>$0*,*($!*,($?8).<!
Integrand
Integral
0.8
0.2
0.6
0.4
0.2
-0.2
1
2
3
4
5
f
f -0.4
1
2
3
4
5
!
!
;$!1$$!(#)(!;$!'),!>+!(#$!*,($?8).!08+9!B!(+! !! " !),>!(#$,!9/.(*&.C!=C!D!(+!)-+*>!(#$!
)8'(),!&8+=.$9<!
#/ "
) $
,
*+) &"
&" &
# !
!! " ! +
'() !! %
'() ( !
.
$ &
# ' % # # " ,-* &" $ - .
*% &
#
!
) $
/&,
# !
# ) $ / ,
# ) $/ ,
! ! +
!" ! +
'() !! %
'() ( . ! " ! +
.
$ &
#'*% & # * & & .*% &
!
#
"#$!,+89).*:$>!;)-$!0/,'(*+,!*1!
!"##"#$%
%
&'#&%
!"#$%$&'()*+',-$
#
! !
!
"# $ $ %&' !"
! !" " #
!
"#!$%&'(!
yHfL
0.6
0.5
0.4
0.3
0.2
0.1
0
1
!
)#!*+,!,-.,)'/'0&1!2/%3,!&4! !" !05!
!
2
3
4
5
f
6
!
$#
$#
'
&*
"# ! ! "# ! ! $ ! " " ! "# !! " $ " ! $ ! " " ! ) %%! , !! " $ " !
#
#
&" +
(
!
"#
"#
"#
"#
615,7'!'+,!8/2,!431)'0&1!'&!9,'!
"# !
!
%
$
$
" " %!
$(
!
!
#$!
%"
+
'
*
)
#!
% " &'("" &
$" ) % " &'(""
! #$!
$
" " %!
"(*+ ""
!
+
#! ) % " &'("" % " &'(""
! #$!
" " %!
"(*+ ""
!
%"
+
#! ) % " &'("" "
!
#
#
$
%
%"
!
$
$%&'!'+,!01',97/1:(!
Lz Integrand
0.2
-0.2
!
!"##"#$%
1
2
3
-0.4
4
5
f
!
%
&'#(%
!"#$%$&'()*+',-$
!"#$%&'#()*&+$%,$-.#*)./$#01*../$23,%'%4#$*&+$&#(*'%4#5$,3$'"#$%&'#()*.$%,$6#)37$$89$%'$:#)#$
&3'5$'"#&$'"#$#;2#-'*'%3&$4*.1#$:31.+$<#$%=*(%&*)/5$:"%-"$%,$&3'$2"/,%-*.7$
$
!
"# ! " $
$
>7?@$$!"#$%&%'%*.$,'*'#$%,$
$
!
! !
$ ""
%
#
!"
'
"
#
"" $
!"#$%&%'%*.$:*4#$91&-'%3&$%,$
!"
! "" #$% & '( # ) " # "
!
!"#$'%=#A#43.4#+$:*4#$91&-'%3&$%,$
$
%
! "" #"$ !
&#
!
!"#$2)3<*<%.%'/$+#&,%'/$%,$
$
" #
P"! #"$ ! " ! #"
'
%#
'
!
%#
'
!
%#
!
$
!
"
%
*
(
# $' " $
% $&" $$(!" & %
'
# #
" # " #
' ")"
(
#
)%
"$
%
'
#"
* $ ""
(
#
)%
( $ $" $$!" & %
'
# #
&#
$
$
! " & ! #" " ! #"
' $ $%! $)!" % %
(
#
#
%'$ $
&
$$
) $ $*! $*!" % %
%(
#
#
) $! $!" % %
(
# #
' $%! $$)!" % %
(
# #
) $*! $$*!" % %
%(
$$
"
#"
# #
) $ $! $$!" % %
(
$$
# #
#
'
(
$
#
%'$ )( +,- *! $ *!" %% '
&
(
$
>7?>$ $ !"#$ 2)3<*<%.%'/$ +#&,%'/$ %&$ (#&#)*.$ 93)$ *$ ':3A,'*'#$ ,12#)23,%'%3&$ 39$ '"#$ 93)=$
BC07$D>7??EFG$
! "" #"$ ! #%# $ "" $%
%
!
$
$&' $ " !
%
" #& %&% # $ "" $%
$&' $ " !
&
&
$
%,$BC07$D>7??HFG$
$
" #
P"! #"$ ! " ! #"
!
%
!
&
%#
%
"
# &
&&$ %# # '() "$ $ $ $! $ % $ % $ % " ! ) $
& %
&
%
$&
$%
('
+*
I3)$'"%,$-*,#$:#$"*4#$
$
# * #$ $
%! ' P ! "" #
,## &'( & %! $ " ) / $
$" + #% %
$# ( .
!
! "
J3$:#$"*4#$'"#$2*)*=#'#),$
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
$
"%
#" ! ## ! %
"""# !
!
$ # ! $ # ! #"#
"
#
"!
!
!#
!#
%! # !
! ###
!!
#%
#%
#%
%#
#
"#$%&!'()!%*+,-.$/-'$*%!0*%1$'$*%!!""# ! "## $ " !&$2)#!
#
!
! % $
&%
"! " " " $ " " #
! ""# "
&
"%'""#
" "&"" %
#
"
#
#
#
"
&%
""( ' ""# " "%'
! )!!!(!!!""# !
!
"
#
$" #
%
&%
"' ( "%'
!
"
#
$" # % !
*
"&
!
'
"&
+! "&(
3*!4)!&)'!!
#
'
'
#
"" !
%!!"& !
!!!!!!!#$ !!!!!!!"" !
%!!"& !
!
"$
"$
"$
"$
!
5*'(!0-#)#!6+*170)!'()!#-,)!6(8#$0-.!+)#7.'9!!:()8!0-%%*'!;)!1$#'$%&7$#()1!4$'(!'($#!1-'-9!
:()!<7-%'7,!%7,;)+#!-+)!1)')+,$%)1!=+*,!
!
"" ! "# ! $
"
#"
#
" " " $ " # ! !"
""# ! "## ! "" ! "# "" $ "# ! !$ !
!
!
"
#
>11!-%1!#7;'+-0'!'()!=$+#'!-%1!.-#'!)<7-'$*%#!'*!&)'!
!"" ! "#!!!"$ ! !$ !
:()! %)&-'$2)! $%1)?! $#! .-+&)+@! #*! '()! 4-2)! ,*2)#!'*4-+1! %)&-'$2)! ! @! -#! '()! 6+*;-;$.$'8!
1)%#$'8!)2$1)%0)#9!
A)%0)!'()!$%$'$-.!#'-')!*=!'()!6-+'$0.)!$#!
!
! "" #$% !
&
'(
"#
#' " $ "
!
$% !!!!!!!!!!
!
*+!$%!B)'!%*'-'$*%C!
!
!
!"
)
'(
! " #
"#
#' " $ "
#
#$
)
'(
&
'(
"#
# $* " !
"#
# $* " !
'
*%
'
*%
& ""
'(
# $"
) ""
'(
# $"
'
*%
'
*%
) $ "*"
'(
#
!
& $ "*"
'(
#
! % # " "$ "% "!!!!!!!#$ !!!!!!!!! !$ # " " % "% " !
#
#$
!
!
!"##"#$%
%
&'$(%
!"#$%$&'()*+',-$
!"#$%%&'(%)*)(+,%*-%.+(/,.0%.1%
! ! ! "# $#! ! ""$"! " "! $!! %
%
#
&*%2/.,(%,'.1%.+%,(/)1%*-%,'(%/(345(3%)011%0+3%,'(%6*+3%7(+8,'9%+*,(%,'0,%.+%,'(%5(+,(/%*-%
)011%-/0)(%
!!"! ! !" "" ! #
%
"! " "" ! "#
%
:*7;.+8%,'(1(%,2*%(<40,.*+1%-*/% !! %0+3% !! %8.;(1%
"#
#
! !"
"! " "#
"!
%
"!
#
!# ! !"
! !"
"! " "#
"#
!! ! !"
%
2'(/(%,'(%/(345(3%)011%.1%
!"
%
!!!"
%
!! # !"
:461,.,4,.+8%605=%.+,*%,'(%)*)(+,%*-%.+(/,.0%8.;(1%
"
! #$
! #$
! ! " # " " # ! "! # ## & " "" #"" # ##
" "! %
" "" &%
"
! !
%
"
"
" "
"
! !
#"
! $
" #
! # ##"
!#
" ##
! # " ##" #
"
&
"!
""
" "! "" %
%
"
#
%
!"#>%%&'(%?0/0)(,(/1%-*/%'@3/*8(+%.*3.3(%0/(%
!! ! !"!#"!!!!# ! !#$"!#"!!!$% ! %&!'%(%! %
%
&'(%/(345(3%)011%.1%
!"
%
!!!"
!"#
"
"!# %
!! # !" !"$
&'(%/*,0,.*+07%5*+1,0+,%.1%
# #$ !! $ !
##!$"%&'( !! $
!!
!!
!
!
!
! !
!
!! ! """
! "$ ""
! ##!% #!&)(* $ # '(#)* +%& )(* $ # ")#+"''( $ %
!
%
!
"#
! ! ")&#$(%& ! +)*+$(
&'.1%08/((1%2(77%2.,'%,'(%?467.1'(3%;074(%*-%A"BC%5)D#"%
%
%
!"##"#$%
%
&'$#%
!"#$%$&'()*+',-$
!"#$%%&'%()*% ! ! " " ! %+,")"-% ! ! " ! ! '%
"
!! !
%
!!!
$
! # " " #$ %
"!"#
&./%*0).%10&.2)%*0)%/3445%!%6&17%*8%"9%
"
$
$
!!!
"!"#
!!"#
! ! ! ! # " " #$ ! ! #! " #$ %
%
:8;%;<,*)%83*%*0)%#%)=><)??,8.?%
"
!! ! ! "#" $ " "
!!!
%
#
! #! " $$ ! ! " # " $ " "
%
!!"$
*8%?))%*0&*%*0)5%&<)%*0)%?&4)"%
6'%()*% ! ! " " ! %+,")"-% ! ! " ! ! '%
"
"!
%
"#!
!
#!!
$
"!#
" $"# $!
%
$!#!
&./%*0).%10&.2)%*0)%/3445%!%6&17%*8%"9%
"
" !"#! !
%
#!!
$
" !"# $"#$! !
$!#!
$
"!#
" #"# $!
%
#!#!
:8;%;<,*)%83*%*0)%#%)=><)??,8.?%
"
"!
"#!
! !"! " !" #! " !" $! " !" % ! " !" "!
#!!
%
$
"!
%
" # #"# $!
"!
!! "!
" #!
"!
" $!
"!
" %!
"!
" "!
#!#!
*8%?))%*0&*%*0)5%&<)%*0)%?&4)"%
1'%()*% ! ! " " ! %+,")"-% ! ! " ! ! '%
"
# !" " ! " ! !" # "!" #
%
"##
"
# ! ! $ $ " "! $ $ !" #
$$"
$
%
$#!"
&./%*0).%10&.2)%*0)%/3445%!%6&17%*8%"9%
"
%
# ! " ! " ! !" #
"
"##
"!"
#
"
# ! ! $ $ " "! $ $ !" #
$$"
$#!"
$
#
"
# ! ! " $ " "! " $ !" #
"$"
$
%
"#!"
:8;%;<,*)%83*%*0)%#%)=><)??,8.?%
!"##"#$%
%
&'$$%
!"#$%$&'()*+',-$
"
# ! " ! " ! !" #
"!"
"
# !# # ! !!" # !" $ !!!! # " # !! $ !" " !!" # # $ !$ $! " " #! $ !% % ! & " # " $"
"##
!
# !" " $ !$ '# $ !% "## " $"
"
# ! ! " $ " "! " $ !" #
"$"
"
# !# # ! !!" # $ !!!! # " # $ !" " !!" # $ !$ $! " " # $ !% % ! & " # $"
!"
!!
#
!
!
"
"#!"
# !" " $ !$ '# $ !% "## " $"
!
"#! $%%! "&'"! "&%(! ')%! "&%! $'*%+! ! ,-! "&.$! /'$%0! 1%! /'-! /&'-2%! "&%! 3#1%)! $4**'".#-! 3.*."!
5%/'4$%!"&%!6$"!"1#!"%)*$!')%!7%)#0!(.%38.-2!
"
# ! " ! " ! !" #
!
"
"!"
"
"##
# # !"$" ! " $ " " ! " $ !" # " !
"##
'$!.-!9:+!;<+6=<>+!
!
<+?6!!@#8).24%$A!B#)*43'!.$!
!
"
!
% $! &
"! "## $ !
# !% !
!
& !' $#
!
C#)D!1."&!"&%!!!B#)*!'-8!"&%-!$45$"."4"%! ! ! !"#! !'"!"&%!%-8+!!E"')".-2!1."&!!! ! ! F!
!
!
"
"
& $" '
"" ##$ % "
# !& # &!
"
' "( $#
!
!
G#-".-4.-2!1."&!
!
"
"
" $" #
"
"" # # "
#
!
"
# ## # #
"
#
# "$ $#
!
!
#
#
"
$
" $
"
" # # # ! " ## $ # &# # ! "
"# # # #
## ! " #
#
#
% #
$#
%
#$
$#
#
!
H#1!"&%(!2%"!'!3.""3%!*%$$.%)!
!"
!
!"
!"
!
!
"
!
!
"
"
!
!
"
"
!
"
"
$
# $" $
# $$ " $
% # # $ " $ # $ ! # $# $ $ # $ ! # $ %
#
!
#
#
"
#
!
#
$#
'& ' $# $#
'&
&' $# $ $#
$""% $# "
!
# $
# "
&
$
#
(# ! )# $ # # (# ! "#
' $#
$
"" # #
!
"
!
" !
"
'-8!B.-'33(!
!"##"#$%
%
&'$(%
!"#$%$&'()*+',-$
!"
!
"
!
!
!
"
!
!
!
!
"
!
"
!
"
$
"
&
# $" $
# $& "
$
% # # $ "& # $ ! # $ $# $ $ # $ ! # & %
#
!
#
#
"
#
!
#
$#
&' "' $# $ #$
&'
&'" $# & #$
$" "% $# "
$
$
# $ "
#
#$ # $ ! # $# & $ ( # $ ! # $# $ & # $ ! # $# %
'&
"' $# $#
!
$
# "
"
$
$
$
$
$
%
#
"'# $ $" # ! # &# $ &( # ! # $# $ #' # ! #
'&
"' $#
#
# &)# " ! &*# $ $ &
'
"" # #
"
"
!
!
"
"
!
"
"
"#$! ! !%&'()!*'$!
!"
" !! " # $%&!
#
" !! " # ! ($%& ! " #"
'
"" ! # #
#
'
!
!
'
!
!" !
"
#
)$%&( ! " ($%&!
'
#
"* ! # ()$%& * ! " ("$%& ' ! $ (
+
!
!"
"( ! #
"
+&,!-#$-.!&'/#&0&1*23/45!
# ! " ! "
"
'
"
(
# # !('-*+$ ! $ ("-*+$ ! $ )/*+$ ! $ )" $%& ! #!
(.
!
"" ! "# ! $%& ! #! # #
"
'
!
" !
(
(
)*+$ " ! $ ( )-*+$ # ! $ )'*+$ " ! $ ) $%& ! #!
,
"
"
.
#
"
'
!
"
(
%(-*+$0 ! $ "-*+$- ! $ ()*+$) ! $ )*+$! '
&
(
'
(.
(
# $ %& $ (- $ "- $ () $ ) $ (- $ "- $ () $ ) '( # '
(.
#$
!
!
" !
"
*16!1&'(*237*/3&1!
#
"
&
!" !"
!
" !
"
'
# # ! ,)*# ! $ -)*# ! $ '" #$% ! #!
+
"" ! "" ! #$% ! #! # #
"
&
'
'
()*# " ! $ ' ()*# " ! $ ' #$% ! #!
"
"
"
+
"
&
"
!
(
' %,
# $ ' )*#. ! $ ")*#( ! $ )*#! *
+ &.
)&
!
!"##"#$%
!
. +,
.( "
'% +,
"
# $ ' $ - $ " $ '0 $ - $ " $ '0 * # #
+& ,.
/ ,.
/ ) . """ $ '
%
&'$(%
!"#$%$&'()*+',-$
!"#$"%&'())*%!#+"%,-.%/0.1234.%
%
0.55%%6*#7'%,-.%/0.18149%
!" !
"!# $ # "! $ #
!
%
"
#$ #
%#
" $ %
%$ # !
!"
:)%"&;)%
!" !
! "
"
!" !
"
!
"
!" !
"
!" !
"
$#
" # # #! # "
# "
%
$#
#
" '()" # % )*+ " '()"
! "
&7<%
""# # # #! # "
#$ "
#$ "
!
" !
$ # "
%# ! # # #! # "
$# "
!
" !
"
"
"% $ $
$"
# "
$
"
#
#
#!
#
&# ! "# # #! # $
" "
"
$
$#
$#
"% $ # $
"% $
%
# #! # $
"'# # #& #! # $
$ $#
"
"
" ()*" # #& *+, "
!"
""" # # #! # $
!
"
"% $
! "
!
! " ! "!
"
!
#
&# # %# #! # "
"
#$ "
"
"% $
!
"
#$ "
%
"
# $$
#&# $ ! "
$ $# $
"
%
%
0.5=%6*#7'%,-.%/0.1>149%
"!# ! "" # #$
%
##%#%&'
!
! '! # $" ! !# % # %") $ *+,! %
! "
($ ! !# % # %")
#
!
&#"
%
!)%')+%
%
! " ! "!
""# ! $" # #"
"
#$%#% &
! &""$ "" !"# % # %"( # )*+! $
! "
'$ !"$ % # %"(
#
"
%#"
#
!
6*#7'%,-.%/0.1814%?@(%+")%&**@$#&+)<%A)')7<()%?B7$+#@7%'#;)*%
%
!" ! "
" ! '()" " # '()"
!
""# # # "! # $
#% $
!
, #
# )*+! %
'$ "
$#
" # # "" # # # # &# "! # $
# "
$#
!"
!"
!
"
"
"% $
%
#
"
C@%+")%()*BD+#7'%*E")(#$&D%"&(F@7#$%#*%
%
%
'()! %
""# ! $" #
&#
!
! "
C#F#D&(DG9%
!"##"#$%
%
&'$(%
!"#$%$&'()*+',-$
!
! " ! "!
""!" " ## # !$
! """ $ $" ! "! % !" %"' # ()*" $
! "
&$ ! "$ % !" %"'
"
!"$%!"% "
!"
"
!
!" ! "
!&'(" " # %()* "
""!" # # #! # "
!
""!"
!
!" !
"
! %"#
+
#$, ()*" $! %"# !
&$ "&'
!
#
!
" !
"
"
"
$"
# "
" $
"
#
#
#!
#
%# ! # # % #! # "
" "
"
!
$#
$# "
"$ "
"
"#$%&#'(!
$%
'() " " #! $"# !
""!" " ## #
&"$
!
)*$+,!'-./0%#102#-'!0'&!-.2*-(-'0%#2"!!
! "
!
"# "# ! $
)#
!$
)#
#
!
#
!
*
!
+#
$
#
$
#
#
" # " #
""#$ ! %" ""# ! %" &'( ! #! # "
*
*
,-&!
,-&! &'( ! #! # "
+#
+#
#
)#
#
#
#
$ $
"#!" "#!" ! %
"$
!%
"$
(
(
!
!
#
& "
)
*
* , " "/
,-& ! &'( ! #! # " !
)# ( % ,-&* ! + ! . $ 1 ! "
+#
' *
*# ) - * *0
)
%
$
%
$
(
" # " #
""!"$ " ## ""!" " ## %&' " #" # #
)*
)*
%&' " " $$ %"#
%&' " " $! %"# %&' " #" # #
+"$
+"$
(
)*
+"$
!
"$
$
(
(
% %
!
%&'* " #" # #
$
& )
)
)*
*
*
)* , *)" /
!
"$ ( ! -.%*" $ -.%+" ! -.%" + ! .
1 !)
+"$
/,
,
' ,(
*( )0 - /,( 0
!
"# $%!$ ! %
$$
!%
$$
#
#
!
!
!
*
/$
*
!
/$
%
$
%
$
#
#
" # " #
""#& " %# "$!$ " %# '() " #" # #
".
*
,-'"
'() $ " $! %$# '() " #" # #
*$$
+$
. $$ $
,-'" '() * " $! %$# #" # #
%
%
#
#
$
$$
!
$
. & $! %$# ) & " + )
'() " + ! #
(
+
$ ' !$% *# (' +
*#
!
!
!
!"##"#$%
%
&'$!%
!"#$%$&'()*+',-$
!"#$%%&'(%)*+,-,*.%/()/(+(.-0-,*.%*1% !" %,+%
"
"# ! !$"
%
#
"
!
%
2))34%-',+%-*%-'(%+)'(/,503%'0/6*.,5+7%
! "
"#$!% ! "" # #&"
$ %
$ ! ""
$" !
! "
!
! "
%
!
"!
!
" !
"
)
&
! %$$%$%&" &! $ # !# $ % $ ( %
$ (
&%" +
# #&"
##
' )*+! (
+
'%
$" (
!$ $ % $ ( !
*
'
)
&
! %$$%$%&" &! $ # !# $ % $ ( %
$
# #&" ( ##
'! )*+! + &' (&%" )*
+ $"
(
'%
!$ $ % $ (
*
'
%
)
&
! %$$%$%&" &! $ # !# $ % $ ( %
# #&" ( ##
'! )*+! + &' &%(&%" )*
+
(
'%
!$ $ % $ (
*
'
)
&
! %$$%$%&" &! $ # !# $ % $ ( %
# %" ( ##
'! )*+! (&%" +
+
(
'%
!$ $ % $ (
*
'
%
# %"$! ! ""
! "
!
! "
!
! "
!
"!
!
"!
!
"!
!
! "
" !
"
" !
"
" !
"
"
"
"
"
&'8+%-'(%+)'(/,503%'0/6*.,5+%0/(%(,9(.+-0-(+%*1% !" %:,-'%(,9(.;038(+%!!! "%
%
!"#<%%&'(%)*+,-,*.%/()/(+(.-0-,*.%*1% !! %,+%
%
+ # # $
#'
# #" .
$%& " ) ! "
" ! !" 0%
$%& " #" &%
#" ( $%& " #* " /
,
!
"
"
2))34%-',+%-*%-'(%+)'(/,503%'0/6*.,5+%=8+,.9%0%+'*/-'0.>%1*/%-'(%.*/603,?0-,*.%5*.+-0.-@7%
!"##"#$%
%
&'$&%
!"#$%$&'()*+',-$
+ $ $ %
$(
$ $" . #
$
%&'
!
"""!# ! #" # #" " '&
*) %&' " ! $" " 0 "! ! #"
!
!
!
%&'
$
$
,
/
"
+ $ $ %
$(
$ $ .
# #" " %&' ! * $ "
$ !# %!# ()%! &'#"
" 0
'
!
!
!
%&'
$
$
&
)
%&'
! $" /
,
+
$ $ %
$(
$
# #" " $ !# - &'#"
%&' ! * %!# ()%! $ %!# ()%!
'
%&' ! $! &
$! )
%&' " !
,
!
+
$ ( %
( (
$
%&' ! * %!# ()%! $ %!# ()%!
# #" " $ !# - &'#"
'
%&' ! (! &
(! )
%&' " !
,
! "
! "
!
!
"
!
+
$
# #" " $ !# - &'#"
%&' !
,
+
$
# #" " $ !# - &'#"
%&' !
,
!
"
!
"
!
"
$ " '#" .
& 0
$" "
/
"
( " '#" .
& 0
(" "
/
!
" '#" .
( %
( ( #
$
#
%
%&'
!
()%
!
$
%
()%
!
'#
& 0
!
!
"
(! '&
(! *)
%&' !
/
!
"
!
"
! "
.
( %
( ( #
#"
%
%&'
!
()%
!
#
%!# ()%! &'#" 0
!
"
'
*
(! &
(! )
%&' !
/
!
"
!
"
"#$!%&&'()%*$+!,$-$.+/$!01.(*)'.&!'2$3!*#$!+)00$/$.*)%4!$51%*)'.!6789:9;!
#
"
#
$#
# #
! #" # ! ! # " !
$ "! "
$#
#"
#" #
"! " #
!
!
"
!
"
!
"
%
$
' %! " $ $
'&
!"
" " # "
# %
$# % $
#
!
!
#
"
%&'
(
!
% ()%( $ $
$ %&' ( #( $#
#( '&
%&' # ( '& !
#
!
"
!
"
!
"
# % $
" # "
$# % $
% ()%(
%
)!!!!!!!!!!!
%&'
(
()%
(
$
!!
!
#
"
#
$
#( '& !
%&' ( #( $#
%&' # ( '& !
#
!
<12&*)*1*).-!-)=$&!
!
"
!
"
!
"
*
$
#" '
#"
"""!# ! #" # #" " $ !# , %&#" & #! ! $ $ $ " ) '!# ()%! # " '!# ()%! %&#" /
%&' ! (
%&' !
%
,+
/.
"
"
*
#
# !
!
# #" " , #! ! $ $ $ " # " / $ !# '!# ()%! %&#"
%&' ! %&' ! .
+
# ! ! $ $ " ""!# ! #"
!
"#1&!*#$!&>#$/)(%4!#%/?'.)(&!%/$!$)-$.&*%*$&!'0! !! !@)*#!$)-$.=%41$&!!! " ! ! !# " " 8!
!
!
!
!
!
!
!
! "
!
!
!
!"##"#$%
"
"
!
"
"
!
!
"
"
! "
%
&'$(%
!"#$%$&'()*+',-$
!"#$%%&'()(%*(+%,-(./0,.)%/.(%%
$
$
"
"'
"
"'
"! " "# ! $"% ! $" & "#$ !
# %&' # %&" ! ) ! $"$" & * %&" !
# %&' # "#$ ! )
"#
"! (
"#
"! (
%
%
+
"
" .
! " - $"#$ ! ! %&" !
# %&' # $%&" ! # "#$ !
"#
"! 0/
,
+
"
" .
! " - ! %&" ! ! $"#$ !
# $%&' # %&" ! ! $"#$ !
"#
"! 0/
,
$ "
"'
! "&! $! & !
# $%&' # )
"! (
% "#
$
%
%
$
!
$
%
%
$
%
%
1203*4%,*%0'(%)-'(.32/5%'/.6,*32)%437()%
$ #
#' (
"!#"# ! $" $ !$! %" & !
% %%&' ! )
%&*!
#" ( )*
% #!
" #
$ !$! %"
""
# #
(
(
! + *+, ! % # $ " !
*+, ! $! %" $ ! -#"!" ! $"
)*
)*
$ #
#'
"!#"" ! $" $ !$! %" & !
% %%&' ! ) +"
#" (
% #!
" #
" #
$ +!$! %"
" #
(
*+, ! $% %"
.*
"
#
(
( % %"
! %&*! $% %" % %%&' ! *+, ! %$% %" $ +!$! %"
$ ! %&*! + %&*!
.*
.*
,
#
$!!%
,
#
.
.
$
$(
#
%&*! $!!+
. !./ ! -#" ! $"
.*
/
%
" #
"
$!!%
#
%
$!!+
$ #
#' (
% %%&' ! )
*+, ! $+ %"
"!#"+" ! $" $ !$! %" & !
#" ( .*
% #!
" #
$ !$! %"
"
#
(
( + %"
! %&*! $+ %" + %%&' ! *+, ! %$+ %" $ !$! %"
$ ! %&*! % %&*!
.*
.*
,
,
#
. !- ( %&*! $!!%
. ! -#" ! $"
$
$.*
#
.
./
#
$!!+
/
" #
"
#
$!!%
$!!+
!
8*%93./2%*,0/03,*%0'()(%/.(%
!"##"#$%
%
&'$(%
!"#$%$&'()*+',-$
!
"! "" " #
"! "" " ! $ "#
"! "# " ! $ ""
"! "# " ! $ "%!"
"! "%!" " ! $ "#
!
!
"! "%!" " #
"#$%$! &'$()*&(%! ()+%$! &(! ,&-$(! *#$! .)/0$*+1! 23)0*3.! 03.4$(5! %&! )($! 1),,$6! ()+%+0/! &(!
,&-$(+0/!&'$()*&(%7!!8$$!9#)'*$(!::7!
!
;7<;!!"#$!!! ! !!%'#$(+1),!#)(.&0+1%!)($!
! "
""# ! $" #
!
! "
""" ! $" # $
! "
""$" ! $" #
%
% #
%
'()! #
#
&#
&# $
&#
#
%* $ &* $ #*
!
"
%
%
%
),- ! '$ (" #
),- ! '() " $ (),- " #
+#
+#
+#
!
"
!
9&.4+0$!*#$! ! ! !!=301*+&0%!*&!/$*!!!&(!"!+0!*#$!03.$()*&(>!
"
%
$ !""" " $# # ""!" " $# & $
%
'
&(
#
!
% $ (&
%
%
%
),- ! '$ (" # $
),- ! '() " $ (),- " # $
+#
+#
+#
! "
&
! "
! "
$" " $ # # "
%
"
"
!"
"
% $ &* $ #*
*
!
% $ (&
%* $ &* $ #*
#
## # $# # %#
$
%
" $# &' $
&(
! "
!
## # $# # %#
!
"&/$*#$(! -+*#! *#$! ! ! !! =301*+&05! *#$%$! )($! ?0&-0! )%! *#$! @($),@! %'#$(+1),! #)(.&0+1%7!!
"#$%$!)($!*#$!#A5!#B5!#C!&(4+*),%7!
!
;7<D!!"#$!$A')0%+&0!&=!)!/$0$(),!=301*+&0!+0!*$(.%!&=!E$/$06($!'&,B0&.+),%!+%!
#
!
!
!
! ! " " # " #! $! ! " " !
!#!
"&! =+06! *#$! $A')0%+&0! 1&$==+1+$0*%5! 3%$! F&3(+$(G%! *(+1?5! 0&*+0/! *#)*! *#$! E$/$06($!
'&,B0&.+),%!)($!0&*!0&(.),+C$6!*&!30+*B!
!
"
!
!!
!
"#+%!/+H$%!*#$!1&$==+1+$0*%!
!"##"#$%
#
#
!#"
!#"
!" ! # " $ ! # " %# # " !" ! # " $ &! !! ! # " %# # $ " !" ! # " &! !! ! # " %#
!
!!
#
# &"
#" $ !
%
!
!!
!
&'()%
!"#$%$&'()*+',-$
! ! # ! " !" $ " "! # # $ $ # # $ %# !
!!
!!
"#$!%&'!()*+%,#*! ! ! " " # !"# ! " -!./%&'0/%,+/!1,2'3!%&'!+#'((,+,'*%3!
!
!
!!! ! !"!!#$%%"!!!"!!!&#&%'"!!!"!!!#(&$"!!!"!!!!#!&)"!!!"!!!#!!!)"!!"!! !
4&'! 5%&! %'$0! ,3! 67! #(! %&'! 63%!/*8!9$8!%'$03!:/;;!'2'*!%'$03!/$'!<'$#=-! 3#! /!3)0!%#! !! ! ! !
3&#);8!>$#2,8'!/!1##8!/>>$#?,0/%,#*!/%!%&'!67!;'2';@!!4&'!>;#%3!A';#B!+#*(,$0!%&/%@!
!
fHzL
!max = 3
-1.0
fHzL
!max = 5
0.5
0.5
-0.5
z
-1.0
0.5
0.5
-0.5
-0.5
z
-0.5
-1.0
-1.0
!
!
C2'$! %&'! $/*1'! !! ! ! ! ! -! %&'! (,%! ,3! %'$$,A;'! :3''! A';#B=! A'+/)3'! %&'! D'1'*8$'!
>#;E*#0,/;3!/$'!8'3,1*'8!%#!A'!)3'8!#2'$!%&'!$/*1'! !! ! ! ! !@!
fHzL
!max = 5
-2
-1
2
1
z
1
-1
-2
-3
!
!
"#$!%&'!()*+%,#*! ! ! " " # !"# $! " -!./%&'0/%,+/!1,2'3!%&'!+#'((,+,'*%3!
! !!! ! !"!!#$%&"!!"!!#'%("!!"!!!#!($"!!"!!%#))"!!"!%#*)"!!"!!!#**("!!"!!#%%'"!!"!!!#!%'"!###!! !
4&'!6F%&!%'$0!,3!67!#(!%&'!5%&!/*8!G%&!%'$03!:/;;!'2'*!%'$03!/$'!<'$#=-!3#!/!3)0!%#! !! ! !"!
3&#);8!>$#2,8'!/!1##8!/>>$#?,0/%,#*!/%!%&'!67!;'2';@!!4&'!>;#%3!A';#B!+#*(,$0!%&/%@!
!max = 11
fHzL
!max = 13
0.5
0.5
-1.0
0.5
-0.5
fHzL
z
-1.0
0.5
-0.5
-0.5
-0.5
-1.0
-1.0
!
H1/,*-!%&'!(,%!#2'$!%&'!$/*1'! !! ! ! ! ! !,3!%'$$,A;'!:3''!A';#B=@!
!"##"#$%
z
%
!
&'(#%
!"#$%$&'()*+',-$
fHzL
!max = 13
-2
2
z
1
-1
-2
-4
!
!
!
"#$%!&'!!()*!+,-.!.+&+/!+,/!0*)1&1-2-+-/.!)3!&4! !" !5/&.6*/5/4+!&*/!
"
P" !""$ ! # !" !
#
"
!!"
!!"
"
P" !$#$ ! # !$$# !
!
#
"
!!#
"
"
!! # !"
!! # !$#
"
P" !&$ ! # !& ! !! # !&
#
!!&
!!&
!
1'!7,/!/80/9+&+-)4!:&26/!)3! !" !-.!
!
!
"# ! ! "# ! !
#
$ $! P
"# !$%
$!"#
#
#$$# !"!
#
"
"
!!#
"
#
#
#
"
#
%
#$$# !"!
#
"
#$$# !"!
#
%
#& "!%
#
%
#
'
#& "!%
#& "!%
# $
#
'
$
&& !
#
'
"
$
&& !
&& !
$
"
!&
"
!
# $
#
!
! #% " '# !
! "!P" !"% " "#! P" !"#% ! "! #$ " "#!
#
#
"
#
$
#
"
! " #$ ! !
9'!7,/!/80/9+&+-)4!:&26/!)3! !! !-.!
#
$
#
!# "" " "!### !### ! " "!# ! ! " $ " "
"" ! ! "" ! ! " "!#
"
!
! ## #
!#
!
! "" " "" " '" ! "
$
"
"
"
$
%
$
&
"
(
%
!#
!
"
;'!7,/!/80/9+&+-)4!:&26/!)3!+,/!/4/*<=!-.!
!
" ! ! # ! ! "$
!%
"
!%
#
"#
"#
!%
" $ !#%# ! " $!% ! ! " $ #&
#& !#%# !#%#
!%
#
"# $ "# $ "# ( "#
! # " %# " &' ! &
#&
#&
#&
&
$
!
$
#
!
/'!7,/!/80/9+&+-)4!:&26/!)3!+,/!&4<62&*!5)5/4+65!9)50)4/4+! !" !-.!
!
!
!"##"#$%
"# ! ! "# ! !
%
#
$ $! P
$!"#
"# !$%
!
&'($%
!"#$%$&'()*+',-$
!"#$%&'#()*#+,"-.-%/%(%*0#"$# !" #1*.02,*1*&(03#20*#()*# !" #*%4*&0(.(*0#%&#()*#5./52/.(%"&06##
7"(*#().(#()*# !! ! ! #0%&4/*#*%4*&0(.(*# !! #%0#()*#0.1*#%&#.//#-.0*0#8 !! ! !! ! ! !! " 96##
!)*#!! ! !#*%4*&0(.(*0#.,*#()*#0.1*#.0#()*#0+%&#:#0;0(*1#80**#+6#<=9>#
#
!! ! ! !" !! " "
!
"
!# ! !" !$ !!
!# ! !
!
"
!$ !!
!! "
!
"
!$ !! ! ! !" !! ! "
!
"
#
!# ! !" !$ !!
!)20#()*#+,"-.-%/%(%*0#.,*#
P"
"
# !""$
!#
!!"
!
P"
#
"" $ %
"
#
"
# !$$
!#
!!$
#
"
#
! '" " "* !
P"
!
#
"
# !$"$
!#
!!"
!
#
#
#
#
"" !
"$ $ "# "%$"
#
!!
"%$" "
#
"
&
!
$#
#
$$ !
"$ " %
"%$" !"!
"
#
"
#
$$ !
"
'
#
"$ !
$ #
#
"
"
&
"$ "!%
"
'
$$ !
$
#
! $%
"
'
#
$ # " # ! '" " (" !
!%$" !
"
#
#
!!
#
#
"%$" !
"$ $ "# "%$"
$#
"
#
"
#
"" "
"
#
"%$"
$#
"%$" "
"
&
! '" " (" !
)
#*
"
#
"$ " %
"
'
$$ !
!
"%$" !"!
"
&
"$ "!%
"
'
$$ !
$
#
!)*#(),**#+,"-.-%/%(%*0#.''#("#2&%(;3#.0#()*;#120(6##!)*#*?+*5(.(%"&#@./2*#"$#()*#.&42/.,#
1"1*&(21#5"1+"&*&(# !" #%0#
"# ! ! "# ! !
#
!
#
$ $! P
"# !$%
$!"#
# $
! "! %&$ " #! "#
" ""!
%&
$
%&
! "!P"
# !"%
" #!P"
# !#%
# $
" ""! P"
# !""%
#
! #!
#
A6B=##.9##C%&'#()*#5"*$$%5%*&(0#D%()#"@*,/.+#%&(*4,./0#
+$
" #
$
" " !# ! ! % % $!## " $# ! %" $# &'() " %" % # #
*
*
! !#
C",#()*#$%,0(#$"2,#0+)*,%5./#).,1"&%503#D*#4*(#
#
!"##"#$%
%
)
#*
!
"$
#*
"" " %
"
#
!!
"
#
!$ !
#
! $$
#
!" !
#
&'((%
$
#
!"#$%$&'()*+',-$
""" # "" ! ! %
)$
"
)$
!%
"
!
!
%
+$
%
$
"
" # " #
#""$ " %# ! " %# &'( " $" $ #
' $)
*
%)
& " ) , &'( " $" $ #
+
+$ ( +
*
$ )
"
)$ %
%
$ )
"
' $)
*
)$ %
)
) + & " , &'( " $" !
(
+
+$
"
0
*
)$ - $
!
/ & $ $ )2
.
+$ . +
$
1
$ )$ 0 & )+$ ) $ +/$
/
!
""# $ "# ! ! %
*$
#
!%
*$
#
%
%
$
#
#
$)
&$ $)
+
)
!
$ )
- $)
0
)
/ & ,-&" & )" &'( " $ " & ) ,-&" 2
. +
1"
$+
$ )$ ) & )+$ $ +/
/
3 "12)0/
" # " #
#"#% " &# ! " &# '() " $" $ #
' $*
*
*
+
*$ % + $ * ' $ *
*
*
-.'" % )
& " , '() " $" $ # !
&
"
% )
, -.'" '() " $"
,$
( ,
+
+
,$ # ( ,
$ *
#
$ *
0
*$ % + - $ * *
"
"
*
!
/ '() " & " '() *" $ *" & " -.' *" 2
,
/
,$ . /
1#
"
!
!
#
!
"
$ + -$ * " * " 0
/ & $ $ 2
,1 $1
$ . / "0
$ *$ + & *,$ * $ ,/$
/
*
'$
"*
$ ,
+)
( "0 , +
!
3 #23#0,
$,
*
$ *$ & *,$ $ ,/
/
!
!
""" # "" ! ! %
*$
)
!%
*$
)
!
% " &"#
$ *
)
%
$
)
" # " #
#""$ " %# ! " %# &'( " $" $ #
' $*
*
+
&'( " %& &# ' )
& " * , &'( " $" $ #
,$
( +
1/
' $*
*
+ -/ $ *
! &" '
& " * , &'( " $" 2
. %) &'( " )
,$ 0/
( +
3/
" #
!
%%
*$
)
"./&# $ &&'( # #$# &
!
!)
"#$%&#'%! !!"!! ! !" !! " ! # (!
)*!!+,%!-./)0)#1#23!/4!05! !! !6%0'7.%6%52!#'!
!
!
!"##"#$%
P"" !! !"# "" ! # !# !
# $
#!" !
!
%
"
!!
!
#
#!" !
"
$!# !
&'()%
!"#$%$&'()*+',-$
!"#$!!! ! !! ! %$!! ! !%$&"$'()$*#"+,+-.-'/$-&$
P!!" !
$
"
#
#
"" !
"!""
#
$
"
!!
##
#
""
"!""
#
#
! #"$"" " #"% " #""
#
$
#
$ % " %&'%() " % ! %&)**
!
!"#$!!! ! "! ! %$!! ! ! %$&"$'()$*#"+,+-.-'/$-&$
"
P!!" ! # "" !
"!""
!
$
#
"
!!
#
"!""
#
#
"
#
#
#"" ! #"" $ "$%#&' ! "$&'( $
01$ $ 2()$ *#"+,+-.-'/$ "3$ 4),&5#-67$ '()$ *,#'-0.)$ '"$ +)$ -6$ '()$ ,675.,#$ #)7-"6$
!" ! ! ! " #$ " ! # ! " # $-&$
P"!! !" #$"!# !" # " $
("
"
$ P #! $# $%&'! "! "# " $ $
"
"
("
"
"
"
# $
(
% ! $# %&' ! "! " #
(
"$
" #
"
$
' "(
*
#)
& ! ( , %&' ! "! " #
( )
+
" #
"
" #($
" #
"
$
" #
"
' ") "( (
*
)
) *# & ( ! % ! , %&' ! "! " #
(
+
- ")
0
"( (
(
! & ( +,%! 2
" # / & +,%! & " ! %&' ! %
*#
(
"
2
# /
(
)
/ %)! ! & # %&' ! & ! & *(! ( % () +,%! 2
.
1
#
(
$
#
$
#
$
$
" #
$
"
0
-" ) '
* /
/* "/ " ( ' " (
(
2
/ ) *&
%
&
(
%
"
&
,
, (
( + *( ( )( /#
+
2
/ *# (
"
*
"
2
/
(
)
(
#"
/
(
'
*
'
*
"
"
"
"
/
2
/
% (" & ()" % )." %
/ / ) /# & #, & ) *(0# & / % (), ( % () 2
.
(
+ (
+
1
.
#
' *
'
/*
/*
/ (
(
")) &
"
%
"
*&
&
,
)
, & (" % () & *( /
(1
/ +
(
* ( *# ( +
"
#
")
% (" ( & ()" % ).
.
3 "2"(#0
$
!
2()$ *."'$ +)."8$ &("8&$ '()$ 8,9)$ 3560'-"6$ ,6:$ '()$ ,**#";-4,'-"6$ <:,&():1$ 8-'($ '()$ '8"$
&*()#-0,.$ (,#4"6-0$ ')#4&$ 3#"4$ *,#'$ <,1=$ $2("&)$ '8"$ ')#4&$ ,00"56'$ 3"#$ "6./$ >?@$ "3$ '()$
*#"+,+-.-'/%$&"$'()$4,'0($-&$AB%$+5'$6"'$7#),'=$
!"##"#$%
%
&'()%
!"#$%$&'()*+',-$
yHq,fL
0.6
0.4
0.2
0.5
1.0
1.5
2.0
2.5
3.0
q
!
!
"#$!%&'(!)$&'*!+#'*+!(#$!%,')-).&.(/!0$1+.(/!(.2$+! !"# ! !-+!-!3415(.'1!'3!(#$!%'&-,!-16&$7!!
"#$!,$6.'1!)$(*$$1!8!-10! ! ! !&''9+!&.9$!-)'4(!:;<!'3!(#$!%,')-).&.(/7!!=4(!(#$!->.24(#-&!
3,-5(.'1!.+!'1&/!:;:?@!+'!(#$!('(-&!%,')-).&.(/!.+!$A%$5($0!('!)$!!! "# ! $%$" @!*#.5#!-6,$$+!
*.(#!(#$!5-&54&-(.'1!-)'B$7!
PHq,fL sinq
0.15
0.10
0.05
0.5
1.0
1.5
2.0
2.5
3.0
q
!
!
"#$! %,')-).&.(/! '3! 2$-+4,.16! (#$! %-,(.5&$! ('! )$! .1! (#$! -164&-,! ,$6.'1!
!"! # ! " ! ! $% ! # ! ! # ! .+! >$,'! )$5-4+$! (#$! *-B$! 3415(.'1! .+! >$,'! .1! (#$! +'4(#$,1!
#$2.+%#$,$!C ! ! " ! D7!
!
!"##"#$%
%
&'(!%
!"#$%$&'()*+',-$
!"#$$%&'$()*+),$-).'$/0123+41$+5$
! &# ' '
#
$
!""# $#% & $# %
%&'$14(6),+7)3+41$241*+3+41$41$3&'$()*+),$-).'$/0123+41$+5$
$
"#
!
" ! " " # #$! "
$
!
$
#
%" $
8+.+18$
"
#
" ! # " #$ $
'" ! #$
$
!
%&'$14(6),+7'*$-).'$/0123+41$+5$3&05$$
$
! %" % &$
#
#
#
"
$
&
" $
!$$
""# $#% & ' # &
" %# %
!
$
# !#%" % &$
'" ! #$
#
$ &$ '
& #% ) # $
%
(
('
&
' $# ) %#
$
)5$+1$%)9,'$!"#"$
$
!":$$%&'$('20(('12'$(',)3+41$+1$;<"$=!":>?@$-+3&$3&'$.),0'$ ! ! ! ! $/(46$;<"$=!"AA?@$+5$
#
$
# "! # ! ! $ ! #
" #!" "
" $
$ # ! "%$ # ! #! ! #% #
!
%&'$ B4,C146+),$ 3'(6+1)3'5$ )3$ 3&'$ .),0'$ !"#$% ! & ! ! ! " "$ D4($ 3&'$ B(+12+B),$ <0)1306$
1069'($ !" ! " @$3&'$),,4-'*$)180,)($646'1306$<0)1306$1069'(5$)('$ !! ! "#$#% "$D4($3&'$
A!$ 53)3'$ =!! ! " ?@$ 3&'$ B4,C146+),$ 3'(6+1)3'5$ )3$ ! "#$% ! " "$ $ %&'$ B4,C146+),$ +5$ 3&'('/4('$
&
" "#$ %# $ ! &# " &% #$ %# " && #$ %# "$ $ %&'$ 24'//+2+'135$ )('$ (',)3'*$ 9C$ 3&'$ ('20(('12'$
!
(',)3+41@$8+.+18$
$
#
$
#
$
#
"
#
"" ! ! "% !!&!!!"# ! ! "" !
" $
$
'
#( %
!
!
%&'$('50,3+18$()*+),$-).'$/0123+41$=05+18$!!"! ! # " # ! $# %! " !&!$# "%! !' ! $# %! " ?$+5$
$
" ' " %# % ' " %# % ' %
!%# "&#
$
""# $#% ! $# $ &! $ ' " $ ' ' '
$
" # &# & '( # &# & '&
$#
!
D4($ 3&'$ A"$ 53)3'$ =!! ! "?@$ 3&'$ B4,C146+),$ 3'(6+1)3'5$ )3$ ! "#$% ! ""$ $ %&'$ B4,C146+),$ +5$
3&'('/4('$ " "#$ %# $ ! &# " &% #$ %# "$$%&'$24'//+2+'13$(',)3+41$+5$
!
"
$
"" ! ! "$ $
#
!
#
$
%&'$('50,3+18$()*+),$-).'$/0123+41$+5$
!"##"#$%
%
&'#%
!"#$%$&'()*+',-$
! %# $ ! # ! %# $ $ '%# "&&
""# $#% ! $& # & # #' # & & '
!
" && % " ' " && % %
!
"#$! %&'! (!! )%*%'! +!! ! " ,-! %&'! .#/01#23*/! %'$231*%')! *%! ! "#$% ! " 4! ! 5&'! .#/01#23*/! 3)!
%&'$'6#$'!!" "#$ %# $ ! &# 4!!5&'!$')7/%318!$*93*/!:*;'!671<%3#1!3)!
!
#
! %# $ '%# "&&
""# $#% ! $& # & '
!
" && %
!
!
=#$2*/3>318!%&3)!83;')!
!
"! )
(
$
#
#
! $" $ '$" %%$
#! $ $
" # #$ # & &
'" ! #$ # &
" %$ %
" %$ %
&
)
(
$
&
' '#$" (%%$
" &
'" ! #$
#
!
5&'!1#$2*/3>'9!:*;'!671<%3#1!3)!%&7)!!
# # ! $ $
""# $#% &
#
&
#' ( " "%) %
!
!
"#
)
! $ $ ! %%$ $
# % & # #$ & '* !
%
" $% "
#
! $# $ '$# "%)
!
#% & &
" )%
*)!31!5*?/'!@4A4!
!
@4(!!B)318!CD4!+@4EF,-!:3%&!!" ! " !*19!!! ! " !:'!8'%!
(. #
#
(" $ % ' ( ,
*
* ! $# . "%& " $# % /
!
""# $#% ! ! )$
' )*+,-' - &
$ #% ' '+ $$# . #%& % !
#%
#
&
# &&
&
+*
.*
!
5&'!9'6313%3#1)!#6!%&'!G*87'$$'!.#/01#23*/)!*$'!
!
"
#
&$
% &
" "%# $ $ "# "%#!%!!!! "# "%# $ '
% # '! % !
#
&%
&%
!
$
#
!
H#!:'!8'%!
"" ##$ ! $ #
!
"
#
%" " !#
# $ ! # " ! %"# & $ '&(# ' ! )'((# % $ &'((# ) ! '%)(# $ *)((
"
%#
!
%&
"&" ##$ ! & "" ##$ ! *)(# ! '%)(
%#
!
5&'!$*93*/!671<%3#1!3)!%&7)!
!"##"#$%
%
&'$%
!"#$%$&'()*+',-$
(. #
#
(" $ % ' ( ,
%
$#
*
* ! $# . "%& " $# % "
""# $#% ! ! )$
&
/#&
! "'#&'
$
'
$
'
'#%&
&
# #%& & #
*+# #%& & )*+,- *.
!
!
( "$%
!
$ '
+" 0 # %& &
!
'#
#
&
! $# . "%&
" $# % "
$# %
(!
$ % ' $ (#% '
# && #
&&
!
"#$!!%&'!()*'!+,-./01-2!)3'!
" %#(
! "## $"%" %# & '
' *
$ & $# )
!
()
%
" % # (
! )"# $"%" %# & '
'
*
) $ & )$# )
!
+ #" * $#
()
!
#" + #" * )$#
%
+,-"
$#
%&'!0--'3!4315,./!1+!/&'!/(1!2/)/'2!02!
"
#
"
#
%
"## $"# ! $ ! "##
"&" &# ! $"# "&" &# #$
- $% %
!
!$
$$
# # #
" &%)
( +
% ' &# *
" &%)
!
$% (' &# +*
.
'$
'
, %" ( &#
" & % )
"
(
+
$ % ' $&# *
$
'$
%" , %" ( $&#
'
)*+" +,- " #" # # #" !
&#
.0& - ' ,'%" ( $& ) & %
) & $% ) 20
#
#" + ( $ )*+" +,- " #" + ( $ # # + 3
/( $ " '
*' #
* ' # * 40
10' #
!
%&'!416)3!)-76'!0-/'73)6!02!/&'!1-'!/&)/!'-2,3'2!13/&171-)60/89!
"
"
(
(
)
$
&
"#$
!
$%&
!
"
!
!
$%&
!
! $%' ( ' &' ! ' !
#'
%
'
'
)
)
!
!
!
"#:!!%&'!()*'!+,-./01-!02!!
!
" & # )
"%" %# & $
(
+
#' % ' "$( *
"
"#
#
& #" ) $ #" )"$(
*+, " -.*" %# &# !
($ + %
' (*
! "#$
!
%&'! !" !14'3)/13!)./0-7!1-!/&'!()*'!+,-./01-!70*'2!
!
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
"#! "#$
!
% '
" ' & *
$%" %# # $%! ) $
%# )( #& & )( "'' ,+
"
"#
#
*
' &$ * $ &$ ("''
$ %#
,
(
)*+
"
,-)
"
(
)' ,
,+
( '+
"#
#
'
*
" ' & * ' &$ * $ &$ ("''
$ %#
, !
(
)*+
"
,-)
"
(
# $%! % ) $
)( #& & )( "'' ,+ )( '' ,+
,+
!"
!
!
"
# !! "#$ $%" %#
!
"#$%#!&'#!#()#$*+,-#!(.! !! /!+.!#01#%&#2!345! ! ! !6!!7'#! !! !41#5+&45!+%&($)!4$!&'#!8+*#!
3-$%&(4$!)(*#.!
, $ $ %
$(
$ $" / %
#
'"
"
" ! #"$ ! "! .
%&'
#
"
" 1
'
*
$# ) %&' # $+ 0 '& "( 2
- %&' # $# &
"
"
%
#
! "! ' "
'& "( 2
"
% " (
' ## *
& ))
#"
% " (
' ## *
& ))
#"
"
(
% "$ ( " "$ *##)
" &+
*
%
%&'
#
+,%
#
%
'# *
*)
& ))
"
% "$ ( " "$ *##) " &+ ( , $ $
%&' # +,%# " /
% *.
%&' # $" "%&' " # "
& 1
'# * %
*) - %&' # $#
%&' " #
& ))
0
# #
$$
#"
"
%
# % " ( % "$ ( " "$ *##) " &+ ( , $
+,%# /
! "! ' "
%
% *.
+,%# " -%&' " # +,%# "
'
*
'
*
%&' # 10
'& "( 2 & ##) ) & #) )
*) - %&' #
#
"
$
#"
"
%
# % " ( % "$ ( " "$ *##) " &+ (
! "! ' "
%
% * ,- "-%&' # +,%# /0
'& "( 2 '& ##) *) '& #) *)
*)
"
!
!
! -! "! #"$ ! "." " $/! "! #"$
"#$%#!&'#!#()#$*+,-#!(.!!!! " /!+.!#01#%&#2!345!!! ! ! 6!!7'#!"+9(,&4$(+$!(.!
!
" #
"&
"" .
#
#
"" + # " # " " &
"
#
$%& ) ( " " "
" !!
0 " $ '#(
" ! , # " "# %$ "# (' # " $%& ) ") %$
") ' # $%& ) "* " /
!
" " + # " # " " & "" . %&"
!
#
!!
0!
" ! , # " "# %$ "# (' # " " " / )12 * #
!
:%&($)! 4$!&'#!8+*#!3-$%&(4$! )(*#.!;-.#! &'#! #,#%&54$! 9+..!+.! 8#!2(2!&4!2#3($#!&'#!<4'5!
5+2(-.=!
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
!
"#
#
'
" $ % ' $ %$ ' " %$ ("'&
! # , $ # $ # # ' "#
##%&# / $
" (3
"
$
"
&
)*+ 2 ,-)2 & )
"! "#$ ! "
1& "
.
## .- $ # #$ &% #$ )( $ # ! # %*+ & ! # $ 10 &% #' * &% "'& )( &% '& )(
)(
!# $ . " $ % '
&
!
## &% #' * &% "'& )(
' #
',$ # $
%$ % ' $ /! #
##%&# ' # / " %$ ("'&
) . # & #$ " "
$ 1&
"
)*+ 2 ,-)2 &" (3
"
&
)
# #
# )
"'& ( % $ !
)( .- $ #$ %
%*+ & ! $ ( 10
!# $ . " $ % '
&
!
## &% #' * &% "'& )(
' #
' ,$
#%$ % # $ # ' $ /
##%&# ' # / " %$ ("'&
) .& / "
"
$ 1&
"
"
)*+ 2 ,-)2 &" (3
&
# )
#
# )
'&
)( .-%
.'& ( % $
%*+ & ! $ ( 10
!# $ . " $ % '
&
!
## &% #' * &% "'& )(
' #
' , % # $ # $ #% #% ' /
" %$ ("'&
) . # "&
"
)*+ 2 ,-)2 &" (3
$1&
)
)( .- .'& % '& '& ( 10
$ !#% #
$ ! # % # #&#
$ % # &#
!"
! !"
! !"
!
. ##'&# "#$
. ##'& %*+ & ! # "#$
. 0*+ & '& "#$
!
!
$
! " % # )*+ !! "#$
.
"#!$%&!&'&()*!&+)&',-./&!+0! !! ! "#$ " !-0!1&!&23&4$!5#(! ! ! ! 6!
!
768!!9%&!3(#:-:+.+$*!+0!$%&!+'$&)(-.!#,&(!-!03%&(&!#5!(-;+/0! !! <!
#"
&%
%
&
P" !# !
P#"$" $# % $% ! $ $ $ *+! #"%,!- #" $# % " & '() " $" $ # $" !
$
"
"
"
"
&'()")! " !#"
!
9%&!-')/.-(!+'$&)(-.!+0!/'+$*=!.&-,+')!>/0$!$%&!(-;+-.!+'$&)(-.6!!?#(!$%&!@!!0$-$&!1&!)&$!
!
#"
#
P" !# ! " " # $%! $"% &" ! "
"
!
"
"
# & &
! )%
(
$ ##" '
! &)
#"
'
"
#"
"
# & &
"# #%
(
$ ##" '
'#
#
*
" - ) " ( ##"
&"
,&)
/'
##
+
" .
*
"
" # - )"(#
& & *
(# " # ,&) " # / ' " &" ! " ( # ,&) ( " / ') ( &( !
).
# " +
,+ #" )#" ./
#&
0 "+"')'
*'
!
?#(!$%&!@"!0$-$&!1&!)&$!
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
#"
P" !# ! ) " #
"
"
!
!
$ " $ %
$
'
% # ##" &
$" $ %
! $
% # ##" '&
%
)
#"
"
%#
#
" ( " & ##"
$
%"
#"
!
* " - ("&#
$ $ ' (&
()
" # , # / $ " %" !
& $ %& ! $(
0 "*""%((
)
"
#'
#'$
,+ #" /.
#
"#$! %!! &'('$! )&! *+&#$,! -(.'#$.! -./0! '#$! /.)1)2! 34! '#$! 5$2'.)-+1(6! 3(..)$.! 7&$$! 8)19! :9;<9!!
=264!"!&'('$&!#(>$!(!2/2?$./!*./3(3)6)'4!/-!3$)21!-/+2,!('!'#$!/.)1)29!
!
:9@! ! "#$! 56(&&)5(664! -/.3),,$2! .$1)/2! )&! ,$-)2$,! 34! '#$! 56(&&)5(6! '+.2)21! */)2'&! 3$4/2,!
A#)5#!'#$!B)2$')5!$2$.14!)&!2$1(')>$9!!8/.!'#$!'#.$$C,)0$2&)/2(6!#4,./1$2!('/0D!A$!+&$!
'#$! $--$5')>$! */'$2')(6! $2$.14D! (2,! &$'! '#('! $E+(6! '/! '#$! '/'(6! $2$.149! ! F$25$! '#$! .(,)(6!
'+.2)21!*/)2'&!(.$!,$-)2$,!34!
!"## ! $%
!
! ! " # " " $$
!"!
$ $ "! ' !
"
!
!
""# &
!'& !
!% ! &% ""# # (# )(
! #
A#)5#!&)0*6)-)$&!'/!
!
A)'#!&/6+')/2&!
!
!
!
!
!! ! !" #" ! ! " ! " ! ! ## #" $ " !
$
%
! ! "#! " " " " ! ! $ ! # #% !
!
8/.!'#$! ! ! ! !&'('$&D!'#$!&/6+')/2&!(.$!
!
!
"" #!!!#$ ! %&!!#" ! '$%
"
#
"
#
!
" % #!!!#$ ! "$% " ! " &!!#" ! "$% " $ "
!
()*%+,-./.01023%2)/2%2)*%*1*42,-5%06%7*/68,*9%2-%.*%05%2)*%:-,.099*5%,*;0-5%06%%
"#
%&
P" !" " P" #" $ "! P" !" !" $ "! " " # #$! "
#
"
#
""
! "
8/.!'#$!%"!&'('$!A$!-)2,!
!
!"##"#$%
%
#
%" !
&'!%
!"#$%$&'()*+',-$
P"#$%"#& ! $! "
&)%
! $! "
&)%
%
%
&
"#
$ # '#& $
"
%
"
($
$ # #)$ ' $! #)$
%
"
%
! $! $# " + # ! + ' $
!
#
+)
)
#*
#
#*
! $! $# # !# ! #+ ! + # !
$
! **'*!& ! %+$,
!
! $ ( )%
!+
+)
)
($
(+
#*
!
!+
&
%
&%
"#$!%&'!(!!)%*%'!+'!,-./!
#
"#$ # #) #
$ '# & " $ # ($
"#! # #)
"#$ # #) # $ $ ! $ ( )
! $! "
$
*
($
"#! # #) #&) )
"#$ # # & ! +
! $! #&$ "
+ * (+
"#! # #
P"#$%"# & ! $! "
%
%
#
%
'
%
%
!
%
#
%
!
"
#
"#$ # #
##
! $! #&$ #$ !#& ! #&+ ! $#+ # ! &+ ' ! + & *! + %&
"#!
! $!
"
" ##
" #
*!&
)'&*+,- # # ! '.& # /0*- # # ! %1#%
'
!
0&'!1$#2*2-3-%-')!*$'!4#51*$*23'!,#$!%&'!%+#!)%*%')6!
!
767!!0&'!'81'4%*%-#.!9*3:'!#,! ! ! !-)!
!
!
! ! ! "## ! ! "## ! " ! ! ""# $!% ! ! #! ! " ! &
!
!
#
#
& #!! $#
%
#!
$#'
)
& $$ '
! ' &(& # ) ! '$#!
$# % ! (
!
0&-)!*;$'')!+-%&!<=6!>767?@6!0&'!'81'4%*%-#.!9*3:'!#,!! ! !-)!
!
!
!
!
!
!
&
%
! !"" !"" ! " "!" #!$ ! % #! ! " ! ' %#%! $" #!
!
!
!
$"
"
"
%
& $$ '
!
! ' !(& " ) !
$" % % (
$"
!
A;*-.B!%&-)!*;$'')!+-%&!<=6!>767?@6!!C'4*:)'! ! ! !"" # B!+'!)''!%&*%! ! ! ! ! ! 6!!0&-)!
-)!'81'4%'/!2'4*:)'!%&'!$*/-*3!1$#2*2-3-%D!/-)%$-2:%-#.!-)!.#%!)D55'%$-4!*2#:%!-%)!4'.%'$6!!
0&'!'81'4%*%-#.!9*3:'!#,!%&'!E-.'%-4!'.'$;D!-)!
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
! ! " !# ! " ! # ! $ ! !
!
%!
%! $
!$"
""# # &
""# # &
$ %!
%! $
$ %!
!!
"
!"
! "!$%&'!%#
! ""# # '# ""# # '#
! ""# # '#
!
"#$%!&'%(!&)*+!(#*(!(#)!),-).(*($/+!0*1')!/2!(#)!-/()+($*1!)+)345!$%! !!"#!!!" 6!!"#)!3*($/!
/2!7!8)(9))+!(#)!&*4+$(':)%!/2!(#)!;$+)($.!*+:!-/()+($*1!)+)34$)%!$%!*!&*+$2)%(*($/+!/2!(#)!
0$3$*1!(#)/3)&6!
!
!
!
<6=!"#)!),-).(*($/+!0*1')!/2! ! !$%!
!
!
! ! "!# ! "!# ! " ! $"! !!" ! # %! ! " ! % $"! !!" %! !
!
#
#
$
$
!
>(!$%!$+:)-)+:)+(!/2!!?!%/!9)!&'%(!:/!@!$+()43*1%6!!A/3!(#)!@"!%(*()?!9)!4)(!
!
!
!"
# ' &
$
! " ! ! #!" "!# $! ! & %
$ !%% ('
%
# ' &
! &%
$ !%% ('
$
$
*
$!
$ # ! & - )$! )!%%
!
$!
"% ! ,,' ) !%% " $( %$ %% (' // &
.
+
! !
! !
* ! &! & '*! +
,! *
&! ( - )$! )!%%
!
)
"
)
"
$!
"% ,+ !%% $(%%$ ,'%%! ($-%%& /. &
+
*
* # !%% & &
&
'*
# !%% &
# !%% & !.
)
&.
"
+.
!, %
(
(
( /
%
%
!%% $ $ '
$(%%$ $ $ ' /
# ' & , $ $ '
! &%
(
,
/
$ !%% (' , ,
&
# !%% &
# !%% &
/
,)
*.
"
(.
(
(
%
%
!
($-%%& $ $ '
/.
,+ ,'%% $ $ '
!
!
!
$(
%%
$
A/3!(#)!@#!%(*()?!9)!4)(!
!
!
!
!$ # ' &
! " ! #! " "!# $! !
&' %$ !%% ('
%
$
!
!"
!$ # ' &
!
&' %$ !%% ('
$
! !
*! #
! & - )$! )!%%
!
'
)
$!
,
"% + %% %$ (%% (' /. &
!
! !
* !*
!(
! + - )$! )!%%
)
"
$!
"% ,+ %%$ !%%! !(%%, /. &
!
!
!$ # ' & * ' # !%% &
'
'
# !%% &
# !% & +-% % ( /
, $ *-%$
(' ) ! (-%$
(' "
,
%
(
$
$
&' $ !%% ' + %%
!%%
!(%% $ $ ' .
$*
%%
!
$
(
+
&
!
!"##"#$%
%
&'&%
!"#$%$&'()*+',-$
!"#$%&'$(!$)%*%'+$,'$-'%$
!
& # * &
! " ! #!" "!# "! !
!'() %$ !$% ('
%
$
!
!
!"
& # * &
!
!'() %$ !$% ('
$
$
)# ! & $ , /$! +!$
"% ! ++%$ $% (' .. % % "!
*
! !
!
! !
) ! , , /$! +!$%
"!
"% +* $%( .- %
!
$
& # * & ) * # !$% & ,
+ ,-%
( .
!'() %$ !$% (' * $%( $ $ ' $*
! $%
$
&
!
.//$ %&'$ #')0/%)$ *-#''$ ,1%&$ 234$ 5646784$ $ 9&'$ *:'#*-'$ #*;10)$ ;'<#'*)')$ *)$ %&'$ *=-0/*#$
>">'=%0>$1=<#'*)')4$
$
64?@$$9&'$A#"B*B1/1%C$%&*%$%&'$'/'<%#"=$#')1;')$,1%&1=$%&'$=0</'0)$1)$
%$
'
$
%
P"#$"%& ! # P"'#! #" $ %( ! # # # ,#! "'$-!. "! #" $ ' % &'( ! %! % " %' $
) )
)
#)*+&)$
!
9&'$*=-0/*#$1=%'-#*/$1)$0=1%C+$/'*:1=-$D0)%$%&'$#*;1*/$1=%'-#*/4$$!"#$%&'$?"$)%*%'$,'$-'%$
$
P"#$"%&
")%
! ! ' (#$ %'& %' ! ' $ '
$
# *$ &
'
"
"
(
$
(
(
!
'
$
" (")' ) *$
' &
")% " * %
%' ! ' $ ' $ $ '
# *$ & # ") &
(
!
")' *$
$
+ " &( + %+
(
")% " * %
")' *$
! ' $ ' $ $ ' )* (+ " &( + ( "+&( + ( "&( + +,
$
# *$ & # ") &
$
"
+
" ")' % (")' *$
# )- " ")' % (")' *$
(")' *$
.
! ($
&
(
"
(
"&
"
"
&
$ * '
" - # *$ '&
.
# $ &
*
,
(/
(/
# " (/
! #( & ( / & ( " / &
!
,&'#'$ ,'$ &*:'$ ;'E1=';$ ! ! !!" #" 4$ $ 9&'$ =0</'*#$ #*;10)$ 1)$ *AA#"F1>*%'/C$
! ! "! " !!#$ ! !% "!& !' +$ -1:1=-$ ! ! !!"" # !"$! " "% #"& !' #% ! ($&( " "% #& !"" # 4$ $ !"#$
&C;#"-'=+$ ! ! " ! ! +$-1:1=-$ ! ! !"#! " $% ## $*=;$*$A#"B*B1/1%C$$
""&
!P"#$"%&! ' ! "#$ ! "% $
!"#$0#*=10>+$ ! ! !" $*=;$ ! ! !"# +$-1:1=-$ ! ! !"#$ " %& #! $*=;$*$A#"B*B1/1%C$$
$
"'
!P"#$"%&! ' ! "#$ ! %& $
G%1//$)>*//+$B0%$6$"#;'#)$"E$>*-=1%0;'$/*#-'#$%&*=$E"#$&C;#"-'=4$
$
$
$
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
!"##$$%&'$()*+,-$./0/'$*1$/)2/2+3$2.$4 ! ! ! 5$
!
"
"
! " "## #$" $# %
$
$ $#&
!
%
% # ' $#
$
%&'$()*+,-$./0/'$*1$&'62+3$7$2.$4 ! ! ! 5$
!
&
"
! "#"## $$" $# %
$
$%
'
#
!
#
%($ ) %#
$
%&'$809'$1+,:/2*,$2.$+,:&0,('-$2,$/&'$-':0;<$.*$/&'$=)*>0>262/;$2.$1*+,-$1)*3$/&'$2,,')$
=)*-+:/$*1$/&'$/8*$./0/'.?$
$
P
! " #$"## " " "##
! " ! #$
$
$
%&'$2,,')$=)*-+:/$2.$
"
#
"
#
! "#"## ! $ "## ! $ ! $"#"## %%" %# ! $ "## %%" %# &'
!$
'
#
$
(%
%
&
#
#
%(
$ $
$
#
'
#
&(% ) (#
"
%(
'
#
#
& % ) (#
% ( *+, " &" & # &%
!
(%
& ( ' ( &'% ) (# * ( %
% #
&% $ *+, " &" * ( $ & # *
' ) $#
+) #
+) #
+
% (#
!
'
& ( ((# *
& &
( (% !
',
(% (# ) (- +
!
(292,($0$=)*>0>262/;$
" #" #
P
!
! " ! #$
$
%
$
" "
#$
#
!
%&#
$#'
" ()$(# $
$
!"#@$$%&'$()*+,-$./0/'$',')(;$2.$
#
$
" $ #$# ' "
"
"" ! ! &
! ! # #* # "% # "$
)
#
# % $"# % ( !
#
!
%&'$'11':/29'$A*&)$)0-2+.$2.$
%
"!" # ! $
"!
! "# $ "$
$
!#
!#$
!
$
%&'$B;30,$06=&0$809'6',(/&$2.$
$
!"##"#$%
#$
#$
"#$
!" !
! $ ! " " " "$
"
%" # %# # % %# $& " "$
!
%
&'#(%
!"#$%$&'()*+',-$
!"#$%#&'(#&$)*++$,+$
""
! ! " # -$
"" " "#
!
$
./%$"0&%/1#23$4#$1#5$
"#$%%! &'(#)*
"#$ % ) ! $%"#*)!&#$ % )
"#$%%" &'(#)*
)
%
%
'% ! " %) %'*#"'+
$%"*)"#$ ! %'#$&(!#$
)
-$
$%%#" &#$ % )
( ! "#$)&%()*
! "#$)&$!)*
$%"#*) &#$ % )
!!
#
$
$
%)'&#(,#$)*
#+ ! '
! %)%#$*!)*
$
! %'#$&(#$
,
!
*6$7#'5#%,')8$ !! ! !" 3$ !! ! ! " ! !# ! !! " 3$*2&$ ! ! ! 8$
$
! ! "#$%&'!"#$ % (
&# ! #)%'$(!#$
' ! $%"(*)!()
! ! #(#%"+!()
! *"
96$:#;,')$,/28$ !! ! !" 3$ !! ! "! " 3$*2&$ ! ! ! 8$
$
! ! "#$%&'!"#$ % (
&# ! ")%)(!#$
-$
' ! $%(*)*!()
! ! '$%'+!()
! *"
(6$</+,5%/2,')8$ !! ! !" 3$ !! ! !" 3$*2&$ ! ! ! 8$
$
! ! "##$#!"#$ % "
&% ! &$'()!#$
' ! %$#('!()
! ! "*)$(!()
! *"
&6$='/2,')8$ !! ! !" 3$ !! ! !"#!" 3$*2&$ ! ! ! 8$
$
!"##"#$%
-$
! ! "#$%"&!"#$ % '
&( ! ()%"&#!#$
' ! #%")(*!()
! ! (''%#+!()
! *"
%
-$
-$
&'##%
!"#$%$&'()*+',-$
!"#$%&'()#*+,-&.!'/# !! ! "#$!" 0# !! ! ! " 0#1',# ! ! ! /#
! ! "#$%&! "#$ % '
&( ! '#)($%*!#$
#
' ! %$%%'+*!()
! ! %$&#)(!()
! *"
2#
3"#4-1'(%5#(&'/# !! ! !" 0# !! ! !"#! " 0#1',# ! ! !" /#
! ! "##$%!"#$ % &
&# ! ##"$#'!"#$
#
' ! %$%%"("!()
! ! %$#))!()
! *"
2#
#
6278# # 9&-# :*!# ;%<!-<&;(:(&'# ;:1:!# ! ! ! # !"" " #!"
?@A2#B62CD"E2###
"
! " #"$" $# $#% !
#
%
&$ $'(
!
% &'"# ) !
$
# 0# :*!# =1>!# 3%'):(&'# (;#
' %")$
*
(
% " ) &$' % && &"#
%
%
)% ' "
,#
* &$'
(
+
!"
F1G)%G1:!# :*!# &'!H,(5!';(&'1G# <-&I1I(G(:+# ,!';(:+# P " # 1G&'.# :*!# !H1J(;# I+# (':!.-1:('.#
!
&>!-#1#<G1'!#<!-<!',()%G1-#:&#:*!#!H1J(;/#
!"
&&
$
&
P " # % % ! " # "$# $ "% " # " # # #
'
'
!"
K*!#=1>!#3%'):(&'#=-(::!'#('#)+G(',-()1G#)&&-,('1:!;#(;#
#
"
! " # "$# $ "$#% !
#
&$ $'(
!
%
% &'"# ) !
' %
)%
(
" & " " & ) $'
"
"
* &$'
%
% " & " " & ) &$' % && &"#
%
*
,#
+
L&=#,&#:*!#(':!.-1G#
#! & "
"
P" " #
$
% '$ '$
#! #$
!"
#
# # $ " # #$
# ! & ( "#
"
*$
#
#! #$% '$ '$ *)
$
# # $ " # #$
#
"
& ##$
$
$
" # # $ " # ##$ " %$ #"&
#
"
"
$
%##$#
# ' # '%
$
# # $ " # #$
$
"
$
"% # # $ " #
+
##$
'() $ #"& - # ' # ' %
-,
#
# ##$
!
K*!#(':!.-1G#=!#'!!,#(;#B:&#;*&=#:*(;#%;!#@A2#B927M"#=(:*# ! ! ! " ! " " ! #" "/#
#
!"##"#$%
%
!
$
#
"
!" # " ! # " $#
# %# "
#$ ! " # $"
"
$#
"
%
"
#
!" # " $#
#
&'#$%
!"#$%$&'()*+',-$
!"#$%#&'()$*&$
!
"
!
"
* #$
"#
"# " # #$
" " # #$ #
#
$
#
"
$
$
# #$ $ " # $
/
,
$
# $
%##$
"
/
,&
#! ,
P" " #
%
/
#! #$
" &#$ #
% # & "% " # ##$
/
,$
$
#
$
"
()*
)
%
#"
% $ #
('
/.
,+ # ##$ ' $
$
$
*"#
" # & "# " # #$
"# #
" # & " " # #$ /
, % "$ #
$
"$
($
($
# %
#
#
&
%##
/
,
$
'
$
'
$
$
$
"
/
# ,
#$ , #" #
/
% " # & "% " # ##$
()* ) #"%
/
,$
% "$
($
/.
,+ '#$ $ # #$ '
!
+,%$ )"#$ &'-#%-,&*)*,.$ &)/)#$ ! ! ! # !"" " !#" $ ! 0$ )"#$ 1/2#$ 3'.4)*,.$ *&$ 5678$598:;<$
1*)"$)=-,&$*.$>,,?$4,%%#4)#@<8$
!"
&
! " #"$" $# $#% !
$
' $ $()
!
%
% &'" # * !
&&
" ) % " * "$(
( % " * "$( )
&%
"
%
%
((
+$
+
"$(
' ' "$( *
*
!"#$1/2#$3'.4)*,.$1%*))#.$*.$4=(*.@%*4/($4,,%@*./)#&$*&$
$
! " # "$# $ "$#% !
!
&
' $ $()
%
% &'" # * !
&&
"" " "" ) %
( ( &%
+%
"$( +*
(' ('
" " " " " * "$(
"
" %
%
"$(
" " " " " * "$(
)
+$
+*
A,1$@,$)"#$*.)#B%/(C$
!"
P" " #
#
#$! #%& ,%
"!
,
+
%
$
#" $ "" ' "
#"
)$
&
&%
"#% )(
"
"
"
# $ " ' "#%
$
" "
$
"#%
"
"
# $ " ' "#%
# % # %*
"
$
"! + $
#" $ ""
#
" ' "
#
#"
$
&
) $
"#%
"#% )(
#$! #%& ,% ,% &%
# " $ " " #%
- #" $ ""
#" $ ""
""
/#$
$
"
#%
(#%"
(#%"
"! + /
#
#
/
#$! #%& ,% ,% / " " # " $ " "
/$ # "
"#%"
. %
!
D)"#%$*.)#B%/(&$1#$.##@$/%#$E&##$67&8$5+8F9<$/.@$5+8F:<GC$
!"##"#$%
%
# % # %*
0
2
2 "
2$
2
2
1
# " $ " " #%
$
# % # %*
&'#(%
!"#$%$&'()*+',-$
!
%
$
! " ! " " # "#
#
$
#
$
% ! !" #
!#
"#$!%$&'()!*&!
"
"
! " ! " " $#
"# ! " ! " " $#
## " ! "$ ! "# $ " $ #
#
$
! %! "
#$# $ " ! &$ ! &# $ " ! # " " $ #
#
! %! "
$#
" "
"
#
%
"
"
#
$
"
$
#
#
!
"# " " $#
#
"
#
"
$ "
"
!
"# " " $#
"
+
(
"
"
"" %
"
* #% #% $ " $ #$ $ " '
#% '#% &
#
*
*
# ! " " #% * #%
"
"
"
" &
"
$
P" " # & $
&#% " $ (#% $ (#% " $ " "
* '#%"
$#%
*
* "
" % "
"
"
* ! $ #$ "# ' " $ "#% $ "#% "
%&
,
) #
+
("
"" % "
"" %
"
*$ #$
' $ #$ $ " '
#% & #
#% '#% &
*#
*
"
"
"
" %"
*
"
# ! " #% # &"
"
" "
#
!
$
$ "
!
*$ $ " $ ( $ (
'$#%
#%
#% #% & * ' # #%
*
* "
"" % " % " ""
* ! $ #$
' $ " $ " $ "#% # ' % & *) # "#% & # #%
,
# ! " " #% "
"" "" "" "& %
#
$
$ "
! &'
$ #$
#(#%
#%
#% #%
#% &
#
!
"#$!+(,)&!-$(,.!&#,.!)#/)!)#$!0#/%1$!2$3&*)4!*&!+%$2,5*3/3)(4!/-,6$!)#$! ! ! ! !+(/3$!7,%!
! ! !/32!+%$2,5*3/3)(4!-$(,.!)#$! ! ! ! !+(/3$!7,%! ! ! 8!
!
P! ! ! " !+(,)9!
!
!"
"
!
"
P HzL
0.20
0.15
0.10
0.05
!
!
!
!"##"#$%
-10
5
-5
%
z/a0
!
&'#(%
!"#$%$&'()*+',-$
P! ! ! " !"#$%&!
P HzL
0.15
0.10
0.05
z/a0
-10
-5
5
!
!
'(!)*+!,-*+%./0!%1.2!3.%1!%1(!(4"()%*%.$+!5*#-(!$/!%1(!(#()%6.)!7."$#(!8$8(+%! ! ! !" &!
! ! ! " !" ! ! "! ! " !
!
! "! ! "!# " #!$ " $%! !
!
9$%1! ! ! ! !"" " # " ! *+7! ! ! ! !"" " # " ! *6(! (5(+! /-+)%.$+2! 3.%1! 6(2"()%! %$! !! *+7! ":! 2$! %1(!
.+%(;6*#2!$5(6!%1(!$77!/-+)%.$+2!!!*+7!"!*6(!<(6$:!#(*5.+;!
! ! !! " ""! " ! !!"! " " "
#
! !!"! $
$ $
#
#
!#
!#
#
! !!"! $
#
#
!#
!#
!#
!
!#
$ $
" " ##$ $$ "%!"!" ##$ $$ "%%# %$ %"
!"! " ##$ $$ "% %# %$ %"
&
!
#
#
#
&
! !!"! $ " %' $ $ !! " ##$ $$ "% %# %$ (* %"
!# & !# !#
)
#
! !!"! $ "!P " " #!%"
!#
=$.+;!%1.2!.+%(;6*#!0.(#72!
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
"
!! ! !!"" # "!P " " #!#"
!"
+! $
" % ' !% "% $#
"% $
"% ' !
- &! $ %
$
)!
&! $
)!
$# (
&%$#% %
$# (
" " -$ %
! !!"" #
!!" $
# %" $
& " % ' !& "% %$#
()* * %!%
-$
&! $
)!
'$# %
% $# (
,-
!
" % $#
.
0
0
0 !#"
0
0
0/
+! $
" " % ' !% "% $#
! $ & " & " % ' ! "% $# .
0
- &"$%
$
&" $
)!
)!
$# (
$# (
&%$#% %
0
!!"" " - $ %
!
!!
0 !#"
#
%
% '
$# !" $
0
% % &" "
!& " % %$#
()* * %!%
0
-$
&" $
)!
% $# (
0/
-, '$# %
" $
!!% % ""
& " % " % ' !&" %$#
!!% % ""
+ +$ .
%
!
()*
*
%
!
"
$
#"
!
()* * %!% - $#% 0
!
&
)
%! #
%
%
#
'$#
'$#
% $# (
, %, /
%
!
!!%- %
!$# "" ()* * %!%
%$&
"#$!%&'&(!)!'*+!!
"
! ! ! !!"" # "!P " " #!#"
!"
" * ! "! $% $
"! "! "! "& ' ! ,!
$ !
! & ) / !#"
&# $
!" #$$
$%
$% $%
$% ( /
%
% ,
.
+
!
&
!
'
!!"" " $
" "
" "
" ' ! "! $%
!
!
"
$
$
!
#"
!
&
)!
$%
$%! $%
$%& (
#$$% #!" %
!"" "
!""
! ' # !" ' !!" $% #" ! ' !'$%)
($% %
($%
! &!$ ""
"
! !!"" #
!
"
#
%
"#$!%&'&(!,-!
.&'&(!,!/%!%&'&/#*'$0!'%!(12(3&(+4!56/7(!%&'&(!)!#%3/77'&(%!'&!&6(!8#6$!"$(9:(*304!'%!%6#5*!
;(7#54!56($(! ! !/%!&6(!#%3/77'&/#*!2($/#+!
!"##"#$%
%
&'#!%
!"#$%$&'()*+',-$
têt = 0.
têt = 0.125
têt = 0.25
têt = 0.375
têt = 0.5
têt = 0.625
têt = 0.75
têt = 0.875
têt = 1.
!
!
!
!
!
!
"#$%!!&'!()*!+,-.!.+&+/0!+,/!1)..-23/!/4/*5-/.!&*/!!60!!70"!&48!!%#!!9,/!/4/*5:!;&3</.!&*/!
"# ! !
!
!
"#$%!$%
!
#&
9,/!1*)2&2-3-+-/.!&*/!
#"$
P" ! #
#
P" ! #
!
!
#
&!$ #
%!$ #
#
!!# $!" !
"
P" ! #
&
#!$ !
!!# $!" !
$
"
!
#
!
#
!!# $!" !
&
!
P" ! # #
%
!!# $!" !
!
"!$
"
#"$
!#
!
#
#!$
!!# $!" !
#
"$$ "
$
$%
$
$%
"$$ "
"
$%
&"'"$ " %
&
$%
$
$%
"$$ "
"
$%
&"'"$ " %
&
$%
$
$%
"$$ "
"
$%
&"'"$ " %
&
$%
"
$%
$
%"" $
%"" $
%""
&"'"$ " %
"
"
"
&
$%
%""
$
"
! $%$
!
!
%
$%
! $%(
=-.+)5*&>?!
P
1
P4
P3
P2
!
!"##"#$%
-3.4
-1.5
%
-0.85
E (eV)
!
&'#(%
!"#$%$&'()*+',-$
!"#$#%&#'()(*+,$-)./#$+0$("#$#,#123$*4$
"
"
"
P
& "$
$!" $
" ! ! # ! ! # "$ P" ! $"#$%!%& #
#
! $"#$%!%&
$
"
'
$
#
P" " (" P" " "%" P" ! $"#$%!%&
&
#
'
# $ ! $"$&&"!%&
! $"#$%!%&
!
$
$!"
" "
' "'
$
" (" "'' " "%" "'( $
")"
&*"%
56$!"#$)..+7#8$-)./#4$+0$ !! $)1#$!! " ! ! !# " " 9$$!"#$&1+5)5*.*(*#4$+0$),$ !! $:#)4/1#:#,($)1#$
P! !
$
!
##
"!!"# #!" !
$
$
#
#
""# #
P# ! # # "##
"!" #!"#
$
"
P" ! # #
"!% #!""
!
;*4(+21):<$
"
"!# !
!
!"#
!! #
#
"!#
"!# #!" !
"## "
#
#$
%"&"# " $
"
#$
"## "
#
#$
#
#
#$
"
#$
"## "
%
#$
%"&"# " $
%"&"# " $
"
#$
$ !!
$"" $ !!
"
$""
"
%
#$
%
#$
$""
$
"
#
#$
$
#$
$
#%
" #$' ! #$
P
P2
1
P1
2
$
!"#$#%&#'()(*+,$-)./#$+0$ !! *4$
"
$
!
#
L2 (—2)
6
$
#
$
$
#
$
#'
"" ! ! "" ! ! # ! ! " # " " P! ! " " "P# " %P" ! " " " #&# " % #&
!
!!$
&$
(
"" $
'6$!"#$)..+7#8$-)./#4$+0$ !" $)1#$!!! 9$$!"#$&1+5)5*.*(*#4$+0$),$ !" $:#)4/1#:#,($)1#$
P" !$% !
#
$
&"#
# #
&!" !!#
$ &"#
#
&!" #
P# ! # # &!#
&!" !!#
$ &"#
P" ! # #
&!% !!"
!
$
&"#
!! # # &!$
&!# !! $
P"# ! # # &!&"#
!"##"#$%
"
&! $ "# !! $
$ &"#
$
&!$ !
#
#
#$
#
#$
#
#$
"## "
"## "
"## "
"
#$
"
#$
"
#$
#
%"&"# " '
%"&"# " '
%"&"# " '
%
%
#$
%
#$
#
#$
"## "
%
#$
$""
"
#$
$ !!
"
$ !!
$"" $ !!
$""
"
"
%"&"# " '
%
#$
$""
$
"
$
#$
$
#
#$
'
#$
&'#&%
!"#$%$&'()*+',-$
!"#$%&'()*+
P
1
P2
P-1
P1
0
-—
+
Lz
2—
—
+
,-.+./0.1$($"%2+3(45.+%6+ !" "#+
+
"# ! ! "# ! !
" #
#
$ $! P
"# !$%
$!"#
" #
! ""! P" !""% $ "!P" !"% $ #!P" !#%
#
#
#
+
! ""! $ "! $ #! ! !
!
78+ + ,-.+ (2#9.'#+ $%+ :(8;+ :<8;+ (27+ :18+ ('.+ $").+ "27.0.27.2$+ <.1(5#.+ $-.+ %0.'($%'#+ (44+
1%))5$.+ 9"$-+ $-.+ !()"4$%2"(2=+ + ,-"#+ "#+ .3"7.2$+ "2+ $-.+ 1(4154($"%2#+ <.1(5#.+ $-.+ $").+
7.0.27.2$+#$($.+3.1$%'+"#++
$
"$
"
"$
%
"$
"&
"$
!"
"$% " !
%
! " # ""# #"$%$" ! $"" " $"# #"$%%" ! %$&"" $ $ "#
# # #$$ +
!
(27+"2+.(1-+%6+$-.+0'%<(<"4"$>+1(4154($"%2#;+$-.+$").+7.0.27.21.+7'%0#+%5$+"2+$-.+1%)04./+
#?5('.+#$.0=+
+
@=AB++,-.+.2.'&>+."&.23(45.+.?5($"%2+6%'+(+0('$"14.+%6+)(##+!+"2+(+0%$.2$"(4+! ! "! #! $ " +"#+
+
+
! !!
$
# !! ! " " #" $" % # & & $ & & +
"
%
C2+$-.+0%#"$"%2+'.0'.#.2$($"%2;+$-"#+"#+
+
# !! !
&
% ! !! " ! " " #" $" % # ( ) " #" $" % # $ &) " #" $" % #
$
'
# ! ! + *!
&
*!
*! .
! " " #" $" % # ( ) " #" $" % # $ &) " #" $" % #
!
!
!
%
!
!
!0
!! , *#
*$
*% /
'
!$
+
D5$#"7.+$-.+<%/;+$-.+0%$.2$"(4+"#+"26"2"$.+(27+$-.+9(3.+6521$"%2+)5#$+<.+E.'%=++F%+9.+('.+
4.6$+$%+ 6"27+$-.+#%45$"%2#+ "2#"7.+$-.+<%/+9-.'.+ $-.+0%$.2$"(4+"#+ E.'%;+ &"3.+$-.+7"66.'.2$"(4+
.?5($"%2+
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
! ! # "!
"!
"! &
!
!
!
%$ "" ! "# ! "$ ! (' ) " "" #" $ # $ %) " "" #" $ # !
!!
!
!!
"#$!%#&&#$!'()!*)+,-,'.#/!#%!0,-.,1&)*!+-#2)34-)!%-#5!6++)/3.7!89!
:')+!;<!=-.')!'()!+,-'.,&!3.%%)-)/'.,&!)>4,'.#/!./!'()!,++-#+-.,')!2##-3./,')!*?*')5<!
! ! # "!
"!
"! &
!
%$ "" ! ! "# ! ! "$ ! (' ) " "" #" $ # $ %) " "" #" $ # !
!!
!
!
:')+!@<!!""#$%!'(,'!'()!*#&4'.#/!2,/!1)!$-.'')/!,*!'()!+-#342'!#%!%4/2'.#/*A!,'!&),*'!#/)!#%!
$(.2(!3)+)/3*!#/!#/&?!#/)!0,-.,1&)A!./!'(.*!2,*)!$)!*)+,-,')!,&&!'(-))!2##-3./,')*<!
! ! !! "! # " # $ ! ! " % ! " " & ! # " !
!
B&4C!'(.*!,**45)3!*#&4'.#/!./'#!'()!+,-'.,&!3.%%)-)/'.,&!)>4,'.#/!%-#5!*')+!;9!!D)2,4*)!#%!
'()!*+)2.,&!%#-5!#%! ! A!'()!3)-.0,'.0)*!),2(!,2'!#/!#/&?!#/)!#%!'()!%4/2'.#/*9!!6/?!+,-'.,&!
3)-.0,'.0)*! '(,'! ,2'! #/&?! #/! ,! %4/2'.#/! #%! ,! *./C&)! 0,-.,1&)! 5,?! 1)! -)$-.'')/! ,*! '#',&!
3)-.0,'.0)*A!?.)&3./C!
!
!
! ! # "!
"!
"! &
% " " # & " # # ' " $ # $ (% " " # & " # # ' " $ #
!
!
!! %$ "" ! "# ! "$ ! ('
&
)!
)!
)!
!! #
!
&
#
'
$
%
"
!
%
"
'
$
&
#
!
%
"
&
#
'
$
"
#
"
#
"
#
"
#
"
#
"
#
"
#
"
#
"
#
!
!
!
%
(' $ (% " " # & " # # ' " $ #
)"
)#
)$
! !! $
!
:')+!E<!F.0.3)!1#'(!*.3)*!#%!'()!)>4,'.#/!1?!'()!%4&&!%4/2'.#/<!
!
%
!! " " $ !
" $!
" $!
!
"
#
#
%
&
#
' ! ( "' $ ) !
!
"
!
"
!
!
!
$
!! # " ! # " $#
% ! & " $&
' ! ( " $(
&
!
:')+!G<!H*#&,')!&''!#%!'()!3)+)/3)/2)!#/!#/)!2##-3./,')!#/!#/)!*.3)!#%!'()!)>4,'.#/<!
!
%
!! " $ !
!! " " $ !
" $!
!
"
#
#
%
$
&
'
$
( ! ) "' !
! "
! "
!
!
!
$
!! " ! # " $#
!! # & ! ' " $'
( ! ) " $)
&
!
:')+!I<!"#$!.5,C./)!2(,/C./C!'()!.*#&,')3!0,-.,1&)! !" !1?!,!*5,&&!,5#4/'9!!H/!+-./2.+&)A!
'()!&)%'J(,/3!*.3)!#%!'()!)>4,'.#/!2#4&3!2(,/C)A!14'!/#'(./C!#/!'()!-.C('J(,/3!*.3)!$#4&39!!
K()-)%#-)A!.%!'()!)>4,'.#/!.*!'#!1)!'-4)!%#-!,&&!0,&4)*!#%! !" A!'()!+,-'.24&,-!2#51./,'.#/!#%!
!" !3)+)/3)/2)*!#/!'()!&)%'J(,/3!*.3)!54*'!-)*4&'!./!/#!#0)-,&&!3)+)/3)/2)!#/!!" L()%*'%+(,
)&-.*"/.%*$#"(*0%*&*12-"(&-(9!!=)!'(4*!3)%./)!,!"#$%&%'()*!+)*"'%*'A!$(.2(!$)!2,&&! !" # !
./!'(.*!2,*)!
!
%
!! " $ !
!! " " $ !
" $!
!
" ! #" # % $
&
'
$
( ! ) "' ( %# !
!
"
!
!
!
$
!! " ! # " $#
!! # & ! ' " $'
( ! ) " $)
&
!
6++&?!'()!*,5)!-),*#/./C!'#!'()!'$#!+,-'*!#%!'()!-.C('!(,/3!*.3)!'#!C)'<!
!"##"#$%
%
&'$(%
!"#$%$&'()*+',-$
!
!
!! " $ !
" ! # " " %#
!! " ! # " $# !
!! " $ !
!
& ! ' " " %'
!
! !! & ! ' " $'
!
"#$%$!
! ! ! " " ! # " !$ !
!
&'$(! )*! ! +%,'$! $-.#! $/0-',12! ,2! 3'-24-%4! 51%6! 78! 609',(98,2:! $-.#! $/0-',12! 78! ,'3!
02;21"2!502.',12!'1!.9$-%!,'!5%16!'#$!4$216,2-'1%<!!=$-%%-2:,2:!39,:#'98>!"$!17'-,2!!
!! " !
$ ! # " # %# $ ! # "
!! "# !
!! " !
!
' ! & " # %& ' ! & " !
!! "& !
!
!
!! " !
!
) ! ( " # %( ) ! ( "
!
! !! "(
+$! '#03! #-?$! '#%$$! 3$(-%-'$4! $/0-',123<! ! @#$! '#%$$! $/0-',123! -%$! ,4$2',.-9>! 31! '#$,%!
3190',123!",99!7$!15!'#$!3-6$!51%6<!!&'-%',2:!",'#!'#$!5,%3'!$/0-',12>!"$!"%,'$!,3!-3!
!!
!$
# ! " " # ! ! %" # ! " " # !&"! # ! " " !
!
!
!!"
!
-24!3$$!'#-'!,'!,3!'#$!3-6$!$/0-',12!AB<BCD!"$!03$4!'1!319?$!'#$!12$E4,6$23,12-9!,25,2,'$!
3/0-%$!"$99!(%179$6<!!@#$!3190',123!-%$!F3$$!G/3<!AB<)HD!-24!AB<))DI!
!
$ !"
"#$ "
# !
#
! ! !
$! !
# " !
!&#
! ! "" #
!
!
%"%$"
51%! !" ! !" #" $"%%%!!J,;$",3$!'#$!3190',123!51%!'#$!1'#$%!'"1!$/0-',123!-%$!
! ! "" #
!
!
'"%$" #
$ "! "
!
"#$
#
#
%!&" #
$"!! ! ! !
'&%$&
!(#!
$ !&
!
"#$ &
# !
#
! ! !
$! !
# & !
!(#
@#$!5099!3190',12!,3!'#03!
!
" "%
! ! !! "! # " # $ ! ! " % ! " " & ! # " # $ '
# '&
!
)(! (" (# # )!!(! $ )"!(" $ )#!(# #
#"
$%&
( "( "
( (#
(!( !
$%&
$%& #
'
' !
'
( "!" "
(! $ ("" $ (#"
"*'"
!
"
!
!
!"##"#$%
%
&'$#%
!"#$%$&'()*+',-$
!"#$%&'()$*$#+#',-$.#/#.($0+1$)"#$1#,#+#'02&#($0'#$
$
!
!"
!#
!$
!"! ! !#! ! !$!
"
"
"
!
"
!
!
"
"
#
!
"
"
!
!
#
#
"
"
!
"
!
"
!
"
#
"
!
!
#
"
#
"
!
"
!
"
"
!
!
"
#
"
"
!
#
!
#
"
!
"
#
$
$
$
%
%
%
""
""
""
"!
"&
"&
"&
"&
"&
"&
'()*+,
! !!!
!%&!
! !!!
$
!%&!
! !!!
%
!%&!
! !!!
""
!%&!
! !!!
"!
!%&!
! !!!
"&
!%&!
#
!!!!!!
-)+)()*./,
"
#
#
$
#
"
$
$
$
!"##"#$%
%
&'$$%
!"#$%$&'()*+',-$
!"#"$$%&'$()*+,-.$*/$ ! $01+$ ! ! $23$
!! ! !
$
%
%# % "! " "
%# % "
%# "
"! "
$
#
#
#
#
(
$
!
#
"
$
#
"
"
# %# ## ( ##%# $'
'& $#
'&
$#
" "
$
"!
"!
"!
"! #
"!
"!
&
% "! " "
%
%# "
%# "
$
$
"! " "
## " " " "
!
# %# $ ## $' ! $ ## " " " ( # #$# %# $'
$
"! #
"!
"!
"!
"!
& "! #
&
$
!
! "! " # #! 5$627216$
%&'$-*44,.0.*)$*/$ !! $01+$ ! $23$ ! !"
!
$# " % $
"! " "
!
$
## " " " ' " $
!! !
"! $#
"! & "
!
$
!"8"$ %*$ 3&*9$ .&0.$ .&'$ )023216$ *(')0.*)$ +'3')7'3$ 2.3$ 104'5$ 0-.$ 92.&$ ! ! $ *1$ 01$ '1')6:$
'26'13.0.'$ ! 5$01+$.&'1$-*132+')$9&0.$&0(('13$9&'1$.&'$;042<.*1201$!$0-.3$*1$ ! ! " =$
!
"
! " ! # # !" ! # $
$
%&'$-*44,.0.*)$ !" ! ! " " #$ ! "!% " " $.'<<3$,3$.&0.$!!" ! ! " ! ! " !! " ! 5$3*$9'$6'.$
!
! " ! # # " ! ! $ !! " ! #
$
$
!
!
#
"
!
#
$
!
!
"
#
!
>*9$,3'$.&'$'1')6:$'26'170<,'$'?,0.2*1$ ! " ! " " $.*$*@.021$
!
" !
!
"
"
! " ! # # " ! # # $ !! " ! #
$
!
# ! # $ !! " " ! #
"
$
!
%&23$.'<<3$,3$.&0.$9&'1$.&'$1'9$A'.$ ! ! " $23$0-.'+$*1$@:$.&'$;042<.*1201$!5$.&'$)'3,<.$23$
.&'$ 304'$ A'.$ ! ! " $ 4,<.2(<2'+$ @:$ .&'$ /0-.*)$ !" ! ! !! # 5$ 9&2-&$ 4'013$ .&0.$ .&'$ 1'9$ A'.$
! ! " $23$0<3*$01$'26'13.0.'$*/$!5$@,.$92.&$01$'1')6:$'26'170<,'$ !" ! ! !! # $.&0.$23$<0)6')$
.&01$ .&'$ '26'170<,'$ "$ */$ .&'$ *)26210<$ A'.$ ! $ @:$ *1'$ ?,01.,4$ */$ '1')6:"$ $ B*$ ! ! $ &03$
'0)1'+$2.3$104'$03$.&'$C)023216$*(')0.*)"C$
$
!
!"D"$%&'$,11*)40<2E'+$907'$/,1-.2*1$23$!!!"" # !! "$$>*9$1*)40<2E'=$
#
#
! ! $ ! " " ! # "! ! $ #$"%% !
"#
"#
!
F)*4$G?"$HF"88I$9'$6'.$.&'$21.'6)0<5$627216$
$
#
#
#!
#
"! ! #
#
$
#
"#
$"%% !
#
!
"! $
"!
!
"
"
!! ! "
"! !
$
"!
" "! !
!
J&**3216$.&'$1*)40<2E0.2*1$-*13.01.$.*$@'$)'0<$01+$(*32.27'$627'3$
$
!"##"#$%
%
&'#%
!"#$%$&'()*+',-$
$ "" '
!! ! !" # &
% # ! )(
!
!
"
#
#*"" !
$
$!
!
!
"#$#!!%&'!()*+,--'.!*'/,).!,0!+'1).-!!2!3)*!4!!2!5!6&'*'!
! ! " " # ! !" $! " %#" ! !" !!
!
!
!
%# !
$!
!
%&'!7*)+8+,9,:1!)(!(,.-,./!:&'!78*:,;9'!,.!:&'!()*+,--'.!*'/,).!,0!
!
"
P! !!! " " # ! ! # ! $ "! " " #
"
!!
"
!!
& #$ )
+
('
%! *
#
"
$
$,#$ !
"
#$
%!
"! " "
"!
#
"
!
$,#$ !
"
!
"! !
#$
!
%&,0!,.:'/*89!;8.!+'!9))<'-!=7!,.!8!:8+9'!8.-!,0!)(:'.!;899'-!:&'!'**)*!(=.;:,).>!-'(,.'-!+1?!
!"# ! $ " #
!
!
!
#
$
"
!"% &%
!
!
!"#' ! $ " # # " !"# ! $ " #
!
#
$
$
!
"% !
! &%
@'!A=0:!.''-!:)!B8<'!)=*0!9))<!9,<'!,:#!!C&8./'!D8*,8+9'0!:)!! ! "! !# ?!!
" # "# "
!
P! !!! "
" $# " "%&' ##$ " # " "%& ##$ !
! $#
E*)B!:&'!CFC!&8.-+))<>!6'!&8D'!
!
!"#$ ! % " # ! ! !"# ! % " # " ! ! &
!
&
! " " # #$%"!&
!
"%
""
!
!"#$ !!" # " !! ! #$%"!&" # #$!'(
P! !!! " !"#$% !
!
!
"#G#!!%)!-':'*B,.'!:&'!7*)7'*!0;89,./!(8;:)*>!;).0,-'*!:&'!.)*B!)(!:&'!0:8:'! ! ! " #!!%&'!
*=9'0!)(!H'*B,:,8.!;).A=/8:,).!899)60!=0!:)!6*,:'!:&'!.)*B!80!
!! ! "
!
"
"
#
! " " ! # ! ! " ! " !! ! " !
%&'! 7*)-=;:! ! !! ! ,0! :&'! .=B+'*! )7'*8:)*! ">! 0)! :&'! ;)BB=:8:)*! !" !! ! " #$ ! !! " % ! "! ! # !
/,D'0!=0!:&'!7*)-=;:! !! ! ?! !! ! ! " " " #!!I=+0:,:=:,./!8+)D'!/,D'0!
!
!"##"#$%
!! ! "
"
! " # # " #$ " ! " # " " #$ " ! # " " #$ " " ! " " # !
%
&'$%
!"#$%$&'()*+',-$
!"#$#%!#%"&'#%()#*%+"#%,-$.&/01&+0-,%2 ! ! ! ! 3%-4%+"#%#,#$567,(.8#$%#05#,)+&+#)% ! 9%
:#+%!%8#%+"#%;$-;-$+0-,&/0+6%4&<+-$%8#+!##,%+"#%)+&+#% ! ! " %&,*%+"#%#05#,)+&+#% ! ! ! =%
!! " ! # " " " %
%
>#<&()#% ! %&,*% ! ! ! %&$#%,-$.&/01#*%+-%(,0+6?%!#%<&,%()#%+"&+%+-%40,*%+"#%<-,)+&,+%!=%
!! "
%
"
! # " "#
" "#! #
"
"
%
>6%<-,'#,+0-,?%!#%<"--)#%+"#%;$-;-$+0-,&/0+6%<-,)+&,+%+-%8#%$#&/%&,*%;-)0+0'#%2&,%-'#$&//%
;"&)#%0)%,-+%.#&)($&8/#3%&,*%-8+&0,%
!! " ! " " " " " " %
%
%
@9A%%B))(.#%+"&+%
%
! " ! " !! %
%
!! " ! " " " %
C0,*%&<+0-,%-4% !! ! %&,*% ! !! %()0,5%+"#)#%&))(.;+0-,)=%
!! ! " ! ! " " " ! " " " ! " ! "
%
! !! " ! ! ! " ! " ! " ! " " " ! "
%
D"#%<-..(+&+-$%&<+0-,%0)%
"
#
!" !! ! " #$ " ! !! " % ! "! " ! !! " " % ! "! " ! " % " ! # %
%
D"#$#4-$#% ! %&,*% ! ! %!-(/*%<-..(+#=%
!" !! ! " #$ ! # %
%
%
@9E9%%D"#%-$+"-5-,&/0+6%$#/&+0-,%50'#)%
' #% *
! " ! $ ! " ! #! " " ! # "! ! $ )
,
"#
"# ( & ! +
#
%
#
#
!
' #% * !
!)
( ! ,+ %&
$
#
"#
!!$"#% !
%
!
!
%
#%
#%
" %! #!$"#% ! %! ')( *,+
%!
&!
$
!
$
$"#% !
%
%!
"!
%
"!
!
D"#%0,+#5$&,*%0)%-**%&,*%+"#%$#50-,%-4%0,+#5$&+0-,%0)%#'#,%!0+"%$#);#<+%+-%+"#%-$050,?%)-%
+"#%0,+#5$&/%0)%1#$-9%%FG(0'&/#,+/6?%!#%<&,%*-%+"#%0,*#40,0+#%0,+#5$&/%+-%5#+%
%
" !! % ! " ! % * )!! # # ! , . " !! % ! " ! %
"
!" !$
- ). ! $# ! '& #( $# #!! '& " " ) " # ! " %
# ! '& #( $# #!! '& +
!
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
!"#"$$%&'$()*++,(*)$-+(,))*.-/$0-.,-1$,+$2'+(/,3'2$34$
! ! " " # !! "#$ !! " " $
$
5&'/'$!6$,+$.&'$*07),.82'$-9$.&'$+,18+-,2*)$-+(,))*.,-1"$$%&'$7/-3*3,),.4$ P ! ! " "! $.&*.$.&'$
7*/.,()'$,+$9-812$.-$3'$3'.5''1$7-+,.,-1+$!$*12$!$:$"!$,+$+,07)4$.&'$/*.,-$-9$.&'$.,0'$.&'$
7*/.,()'$ +7'12+$ ,1$ .&*.$ /';,-1$ .-$ .&'$ .-.*)$ .,0'"$ $ <,1('$ .&'$ 0-.,-1$ ,+$ +400'./,($ 5,.&$
/'+7'(.$.-$.&'$-/,;,1$5'$(*1$),0,.$-8/$*1*)4+,+$.-$.&'$&*)9$(4()'$9/-0$=!6$.-$:!6>$9-/$5&,(&$
.&'$.-.*)$.,0'$,+$&*)9$*$7'/,-2$
! !
! $
! "
$
%&'$.,0'$.&*.$.&'$7*/.,()'$+7'12+$,1$.&'$,19,1,.'+,0*)$/';,-1$"!$,+$;,?'1$34$.&'$/*.,-$-9$.&'$
)'1;.&$-9$.&*.$/';,-1$.-$.&'$?')-(,.4$*.$.&*.$7-,1.$
!" !
$
!#
$
$" ##
%-$9,12$.&'$?')-(,.4>$)'.@+$8+'$(-1+'/?*.,-1$-9$0'(&*1,(*)$'1'/;4>$1-.,1;$.&*.$.&'$'1'/;4$
*.$.&'$'12$7-,1.+$,+$78/')4$7-.'1.,*)$'1'/;4A$
!
"
$
!! " "#" ! !" !! " " " " !" !# "
#
# " ! ! " "#" " " "
$
$
%&8+$5'$*//,?'$*.$
P ! ! " "! #
$
"
"#
"#
"! "
"!
"!
#
#
#
#
$
!
!
!
$
% ! ! " ! " !" # ! ! ! !"! # ! !
!
"
B/-0$5&,(&$5'$(*1$9,12$.&'$()*++,(*)$7/-3*3,),.4$2'1+,.4$
P ! !" #
$
!
! !"# " ! #
$
C-8$(*1$(&'(D$.&*.$,+$7/-7'/)4$1-/0*),E'2$+8(&$.&*.$
"
$
$
!"!"$
!!
! !!
P ! ! " "! # "$
,F$$G/,.'$.&'$5*?'$981(.,-1$8+,1;$.&'$(-1+.*1.$!! ! ! !" ! A$
$ "" '
!! ! !" # &
$
% #! )(
!
%&'$'H7'(.*.,-1$?*)8'$-9$7-+,.,-1$,+$
$
!"##"#$%
"
#
#*"" !
$
$!
$ +$ '
#& )
% #(
#
#
"#
"#
"
#
#* +
$ $
! $
$
! ! $ ! !" " ! # !!! ! " ! # "! ! $ ! ! ! " ! # "! ! ! $
%
#
&'(%
!"#$%$&'()*+',-$
!"#$"%%&'("#$)*+&# ! ! ! ! " #)$#&,&*-##./(#%/%&*'0%1#
"
#
# '% *
! $
! ! $ ! " "#
! ! " " # $" ! $ ) ,
"#
"# ( & +
# $"
#
' %# *
!) ,
( &+
#
$
%
"
!
$
#
! # " % # "#
%
# $"#
#
""% " # %
#
" % # "# #
%
" % # "# #
! $ ' %# *
# $" )( & ,+
' %# *
$" ! ) ,
( &+
$
#
!
"% #
#
"
$
%
%" %
#$
#
"#
# #
" #
"%" %
$"
# #
"
$" #
!!
!
./(#'2&#$304(&$1#
!
!
#
#
!
#
"
+!
"! $ %
!
! * ! " "#$
!
"
$"
!
(!
"
#
()
# # $" '& "
,
!
)
!
! (!
#
!
!
$
%
#
"% ! ! !
'%*
! ) ,
( &+
!
$
%
# "% !
!
!
"!
#
% # ! "% !!
% $ &
$
!
!
!#
"! !
!
!
$
& "#
& !% % !% !$-
!
!
'%*
! $ ! " ! # ! ! " " ! # "! ! $ ) ,
"#
"# ( & +
#
#
"
+!
,
!
* "+
)
()
$
#
" (+ %
!
!
( + ! "!
$" ! (!
*
)
()
!
!
%
( + ! "! !
" $ % ( + ! "! !
$"
$# '& %
$"
+! - $ %
/+
, . !+ !
,
, 0 + !!!
!
(+
#
2!
+!
+! 1
!
&3 !
!
))5##6/7#8/#'2&#$4%&#9/(#4::#$'4'&$#!0'#0$)*;#'2&#/<&(4'/($#!#4*8#!=-#
!
# "#$ " "! % $
"!"!
!
!# !
##$ " "! % $
"!"!
!!
#
%!
$!#
!
! ! "!" !
#
!
!"##"#$%
!
!# " !
""!
#
$
!"! #
! "!
"
#
#
$
!
" $" " $ "
!#!
!
!
!
""
"# " $ " " " " $ " $% !
!#!
!#! #
!
!
" " " # " " " # " " " " & # $ ! $%%&'()*%% " # ! ' "#
%
!#! #
%
" "# " "# " "
" " & # $% #
&'(%
!"#$%$&'()*+',-$
! ! " !" !
!
!
" $" " $ "
!#!
!
!
!
#"
#$ " $ " " " " $ " %& !
!#!
!#! $
!
!
# " " # " " " # " " " " " # % ! $%%&'()*%% " # ! ' "#
&
!#! $
!
"#$%!&'(#!$)&$! ! " ! ! ! " !&*+! ! " !
! "
!
#
!
! # # !,*!&!(,-,'&.!-&**%./!(#!$)&$!
$
# $
!
!
!#"
!#"
" $" ! $ " ! !
" $ " ! $ "$ ! $$ " $ $ ! "
!
!
!#"
!
!
" $ "$ $ $$ " " !
" " " $ " $# " $# "
!
!
!#"
!#"
!
" !" $ ## ! !#" " " $ #! #
!
"
!! ! " !! " ! !
!
" " " # %& !
!
!
!
!
" $" " $ " !
" $ " " $ "$ " $$ " " $ ! "
!#!
!#!
!
!
!
" $ "$ " $$ " " !
" " " " " "# " "# "
!
!#!
!#!
!
!
!
# !" " #$ ! # " " #! $
!#!
#!
!! ! " !! " !
!
"
" "# " "# " "
#
" #
0''!#1!$)%(%!&2.%%!3,$)!4&.$!5,6!
,,,6!!7)%!8*9%.$&,*$:!4.,*9,4'%!,(!!!!!" " ! ! !3)%.%!
!
!! !
"! "
!
#
!
!! !
"!"
!
#
!
!
!! " !
!
!
! ! """"#$%&'"" ! ! ( !
!
!
!! " !
!
!
! ! """"#$%&'"" ! ! ( !
!
!! !
!
!
## "
""
!
"
!
!! ! !"" # # "
!
!
"
$!
$!
!
!
!!!" !
$ " !" $ !#" # $ " !" $ ! # $ " !" $ ! # !
#
#"
"
!
;#!$)%!8*9%.$&,*$:!.%'&$,#*!,(!#<%:%+=!
!
!
!
!
!
!
!"##"#$%
%
&'!%
!"#$%$&'()*+',-$
!"#$"%%&'(%)*+,-.%(/()(0+1%23%+'(%/*44(,%25(,*+2,1%*,(%6-7(0%89%
!!!!!!! ! " # ! !
%
# # !!
!!!!!!! ! " " # ! !
!!!!!!!!!!!!!! # !" !##!!
# "! # "!
!!!!!!!!!!!!!!! # " !!" !##"!
%
:0%;2)520(0+%02+*+-20%+'-1%-1%
!"# ! # !! "!#""
%
#
!"#
!! # " "!! "!#"" %
<-+'% +'(% 3-,1+% -04(.% /*8(/-06% +'(% ,2<% *04% +'(% 1(;204% +'(% ;2/=)0"% % >2,% (.*)5/(?% *% 3(<%
(/()(0+1%*,(%
!!! ! !! !"!"# ! !"!!!# ! #! !"#"# ! #"!!!$ ! $! !"$"# ! !"!!#$ ! $!#"$"# ! $
%
%
%
!!!
!! ! " #!! !"!"# ! !"!!!#
!! # " #!! !"#"# ! !"!!#!%!! ! " #!!#"!"# ! #
%
&'(%(.5/-;-+%)*+,-.%,(5,(1(0+*+-201%*,(%
! !%
! !!! !!" !!# !!$ " $
!!
# %
&
#
# !"!
# !"! !"" !"# !"$ " &
%
%
! ! # !#! !#" !## !#$ " & !!!!!!!!!!!!!!!!!!!!! ! # ! %#!
#
&
#
# !%
!
!
!
"
!
&
# $!
$"
$#
$$
# $!
&
# #
#" #
#
#
# $ %
"
!
@1-06%+'(%(A=*+-201%*827(?%<(%6(+%+'(%)*+,-.%,(5,(1(0+*+-201%
%
!
#
#
!!#
#
#
#"
!
!
"
!
!
!
#
!
!
#
!
!
#
!
!
#
! !
" $
&
#
! " &
# "
%
&
#
$ " & !!!!!!!!!!!!!!!!!!!!! ! # !
# !
! " &
&
#" #
# $ %
!
! %!"
! %!#
%
!""
%
!"#
! %#"
! %##
! %$" ! %$#
#
#
!
!
! %!$ " $
&
%
!"$
" &
&
! %#$ " & %
! %$$ " &
&
# $ &%
! " $
&
! ! " &
! ! " &%
&
$ ! " &
# # $ &%
!
#
!
#
%
!"##%*B%C2,)*/-D(E%
! " ! ! ! # ! " #$ ! $ "#$" " # %& %
%
#
$ #
! ! ! ! ! !" # " $""## $ ! ! # " $"## $ !
%
! ! #! " % $ ! ! &
$
$!!
$
$
%
!
&
8B%&-)(%(72/=+-20%
!"##"#$%
%
&'(%
!"#$%$&'()*+',-$
! !! " #
!
!
"
!"
# ""#$ ! $
!
"#!$%&'"()(*+,-!.)/0'-!1*(2!/)33'4!+&-5!!
! ! ! "" # ! ! "" # !
!
%$&" " !
!
"
!#
#&$ ! $&" "
#"
#
# $ " $ $ %#&" " !
!
!
! #"
!
! #
! #" $
%& !%&$ ! %#&" " % $ # $ !%#&$ ! %$&" " # $ " % '(
!
! !
! #" $
%&%#&" " # # &%$&" " # ' !
&
(
#
$
%
! &
! #" $
!
6+7',(07!'%&'"()(*+,!.)/0'5!
! ! ! "" # ! ! "" # ! #
!
$ $"## $ ""#$ ! !
! "" # $" $ $ ! "" #
!
! #"
" % $ !%
# $ $"## $ ""#$!! ! !
"#$# ! !
&$#" " !
$" !
!
" % $ !&
"
"%
$ !%&$ ! %#&" " #
#
#"
#
$
"%
$ !&#$ ! &##" " #
#
#
# % " # % &##" " !
$" !
!
!#
$" ! #
! $
%& #!&#$ ! &##" " % % # $ !&##$ ! &$#" " # % " % '(
!#
$" ! !
! $
% ##&##" " # # #&$#" " # ' !
&
(
&
$" ! &
! $
!
$24',8'-(9-!(2'+4'7!*,!(2*-!")-'!*-!
#
#
% ! " "#
#$
#$
$%& ! $ $% ! "
!
'() " "
! "" # %" # % ! "" #
##$ ! $#" "
!
#
$
!#
#
$
"
!
'() " "
"! '($ ! $ # !
'($ ! $ !
!
:+!*(!*-!-)(*-8*'3;!
!
<;=>!?2'!@8)-(@!'%&),-*+,!/').'-!(2'!!"#$!%&'()*+'!(2'!-)7'A!B0(!*(9-!,+!/+,C'4!(2'!C4+0,3!
-()('!+8!(2'!,'1!-D-('7;!!E04!F+B!(2',!*-!(+!8*,3!(2'!+.'4/)&!B'(1'',!(2'!+4*C*,)/!-()('!),3!
(2'!C4+0,3!-()('!+8!(2'!,'1!-D-('7!),3!-G0)4'!(2)(!(+!8*,3!(2'!&4+B)B*/*(D;!!?2'!+4*C*,)/!
1).'80,"(*+,!*-!(2'!C4+0,3!-()('!+8!(2'!&+(',(*)/!1*(2!84'G0',"D!!=5!
!
! !"
! "
! "! #
! "
! "! #
"! ! "
! #
&
$ #" # '
! ! !"" ! &
$*#"#" &! !
)
% #! (
!
)#! ?2'! &4+B)B*/*(D! (2)(! (2'! -D-('7! -()4(-! *,! -()('! ! ! !"" ! ),3! *-! 7')-04'3! (+! B'! *,! (2'!
C4+0,3!-()('! ! ! "!# !+8!(2'!,'1!-D-('7!*-!(2'!&4+F'"(*+,!-G0)4'35!
#$%
!
!
P! ! ! ! " !
"
!
%
$
#$
"
! !# " " #" ! " " # #" !
?2'!C4+0,3!-()('!+8!(2'!,'1!-D-('7!H&+(',(*)/!1*(2!84'G0',"D!!>#!*-!
$ "" $ '
! ! "!# ! &
% # ! )(
!
?2'!&4+F'"(*+,!+8! ! ! !"" !!+,(+! ! ! "!# !*-!
!
!"##"#$%
%
%&'
#*"" $ !
$
$!
!
&'(%
!"#$%$&'()*+',-$
( $& % +
! ! " ! ! % ! #"$" ! #"$#" ! % *
#$
#$ ) ' ! ,
$
$
"
!
!
! "& && % #
&'(
!
( $+
*) -,
'!
&'%
%
$
#$
%
&'(
%
#$ "&& $& % # " % %!
#$& % " % %!
( $& & +
*)
'! ,
&'(
%#$&&"
( % "& && % #&'% +
#" ! *
) && $ & % ,
&'%
%
%!
#"
!
"#$!%&'()(*+*,-!*.!,#/.!
" "# ## " #
## $ # "
#$"
!
P! ! ! ! " !
"
!
##
#
" "
#"
##
!
!
!
#
#
#$ # #$ "
#"
##
"
0*&.,!1#$12!3#$,#$&!,#*.!&$./+,!4)2$.!.$5.$6!!78!!9!:!!;!,#$5!5',#*5<!#).!($$5!1#)5<$=>!
)5=!3$!.$$!,#),! P! ! " !).!*,!.#'/+=6!
(?!!78! ! ! ! "#$! " >!,#$5!,#$!%&'()(*+*,-!*.!
P! !
!
" #$%
! !$&'' !
# " #$%
!
@69A! "#*.! 5$3! %',$5,*)+! *.! B#)+8B! '8! ,#$! #)&4'5*1! '.1*++),'&! %',$5,*)+6! ! C#$&$! ,#$!
%',$5,*)+.! )&$! ,#$! .)4$! D!EF?>! ,#$! .'+/,*'5.! .#'/+=! ($! ,#$! .)4$6! ! G/,! 8'&! ,#$! 5$3!
%',$5,*)+>!,#$!3)H$!8/51,*'5.!4/.,!($!I$&'!8'&!!JF>!3#$&$!,#$!%',$5,*)+!$5$&<-!*.!*58*5*,$6!!
0'&! ,#$! 5$3! 3)H$! 8/51,*'5.! ,'! .),*.8-! ,#$! 1'5,*5/*,-! ('/5=)&-! 1'5=*,*'5>! ,#$-! 4/.,! ($!
I$&'!),!!:F6!!"#$!'==!5/4($&$=!B8/++B!%',$5,*)+!3)H$!8/51,*'5.!KL!"L!MNOL!),!!!!:!F!
)5=!.'!3*++!3'&2!8'&!,#*.!5$3!%',$5,*)+!D),!+$).,!,#$!%)&,!'8!,#$4!8'&!!EF?6!!P'!,#$!.,),$.!'8!
,#$!5$3!%',$5,*)+!)&$!,#$!'==!.,),$.!'8!,#$!B8/++B!%',$5,*)+6!!"#/.!,#$!$5$&<-!+$H$+.!)&$!
!
$
!! ! " !! # " !! #
!
!
!
! ! #" "
! "
!!"
%%
"
$ !!
! # !" " $ !!
!! #
%&
"
!! # ''''' !
#$% " ! !# $# %# &#'''!
!
"
#$% " ! #$%$ !$ "$&&& !
"
!
!
@69Q!!)?!"'!.'+H$!,#*.!%&'(+$4!3$!3)5,!,'!3&*,$!,#$!.,),$!*5!,$&4.!'8!$5$&<-!$*<$5.,),$.6!!
O),#$&! ,#)5! 1)+1/+),*5<! ,#$! 1'$88*1*$5,.! /.*5<! .%),*)+! 'H$&+)%! *5,$<&)+.>! +$,R.! ,&-! ,'!3&*,$!
,#$!.,),$!*5!)!3)-!,#),!4)2$.!*,!'(H*'/.!3#*1#!$5$&<-!.,),$.!)&$!*51+/=$=6!!0*&.,!3&*,$!'/,!
,#$!#)&4'5*1!'.1*++),'&!8/51,*'5.!,'!.$$!#'3!,#$-!&$+),$!,'!,#*.!.,),$6!"'!.*4%+*8-!5',),*'5>!
/.$!,#$!.,)5=)&=!H)&*)(+$!1#)5<$!!! ! !" ! !" ! # " S!
!"##"#$%
%
&'&%
!"#$%$&'()*+',-$
!
!! ! !" # !
""
#!
"
"
#
!" ! ! " # ! "#!" " #
"
!$ ! !" # !
!
!
!
""
#!
! !"#
!
"
"
#
!
#
$"" ! $ $!
""
!
"
%
"
$
'( #
#
! "#
"
#
%$
#
$!#$"" !
$!
! $ $ )* #
""
!
! $" " "#
$
$
" #
%
&!
#
$
$ % $ !$ $
#
! "
%$
#
#
$"" ! $ $!
% # !"#
!
!
! "#
"
#
! "
%$
#
#
!
$& $ $
$ % !#$ %
"
$
#
!
"
#
%$
#
"
#
! "
%$
#
#
! $
"
#
$&#$&
'( # % ! $ $ )* #
$
"
%
$# " " #
$ $
" #
%
&!
#
$
$
$ % $ !$ $
% '( !# ! " #)* !"#
!
$
$
! "
%$
#
#
!
"
#
"
%
'( #& $ $ $ )* #$&
! !$ ! " " #
$
" #!
%
&!
#
$
"#$!%&%'%()!*(+$!,-&.'%/&!%0!'#-0!
!
! ! !! " " # " # " $
##
!
"
! $ % #!# ! % $"## !
!
"
# " # " $% $ %% % $"%
!
#"
!
! " !%' ! ! " "
&
$%
#
&
"
%
$
%
%
%
%!
!
"
# " # " $$ ! $ % $ % ! % $" $
!
""
!
# " % !#" " $!% " $ # %% % " # $"%
'# ! ! " $ %' % ! ! "
%
% %
! %
%
!
"
1*%'.#%&2!'/!34(56$'!&/'('%/&7!*$!#(+$!
!
! !!" # ! " ! "
!
#
"
"
$ $ " " !
*#$4$!!!%0!'#$!&/48()%9('%/&!./&0'(&':!!;/48()%9$!'/!,%&<!!!
! ! ! ""# ! ""# ! !
!
!!
#
#
"# " "
!$ # #
$
#
" % $ &# $ # # ! #!# ! # !!!!!!!!!!!!!# ! !
#" # " "
$
#
! $ # #
#
#!
#!
;/*!,%&<!'#$!$=>$.'('%/&!+()-$!/,!'#$!$&$42?@!
! ! ! !" P!" ! ! # " " !" $ !" P!"
"
P!" ! " # # # $
!
"
! "
"
"!
#" # $
$
"
! " " "
$
"
!
"
"!
" "# $
$
"
"! " " " "
"
!
# %% "# " &" % "! " "% "" $
! ! # " " !" $ !" "!" # %% "# " &" % "! " "% "" $ ! "!" !" % % !" " &" "$ " " '" & ! "!" !" % " " "(% " ' &
!
!
"
"
"!
"
! ! !" &!!)$!!!"
3A!!"#$!*(+$!,-&.'%/&!('!'#$!)('$4!'%8$!"!.(&!()0/!3$!*4%''$&!(0!(!0->$4>/0%'%/&!/,!0'('$0:!!
B$!6&/*!#/*!'#$!/4%2%&()!0'('$!$+/)+$07!0/!*$!.(&!4$)('$!'#$!'*/!$=>4$00%/&0@!
''
%"
!"##"#$%
%
&'#(%
$
!"#$%$&'()*+',-$
!
! ! !!" " # # " " "$
%#
!
"
! " # %!# ! # &"%# !
!
"
# # " " "% " #% # &"%
!
##
!
! " !#' ! ! " "
&
$#
$
%
&
#
"
#
#
#!
!
!
""
!
# # # !$" " "$ !% " " $ #% # " $ &"%
#
"
# # " " "$$ ! " # $ # ! # &" $
$'$ ! ! " " #' # ! ! "
#
# #
! #
#
!
"
"#!$%!&$#'(!%")')$"%!
!
! !! " # " ! " "
!
#
!
"
#$ " ! ! !
*+,!,-.,(),/!0(+#1/$%2,#!)$3,!,4"56)$"%!$7!
!
! !! " # "#"$# % ! ! " "
$ #"$# ! # $
!
$ #! #
#
!
#"$# ! $ $ !#"$ !# ! !
&'( #"$ !# ! # "$
"
!
#%
!
!!
!
!!
!
""
!
89:;!*+,!)<"!,%,#2$,7!'#,!)+,!!!=!>?!:!7)'),7?!7"!)+,!3,'76#,3,%)!),557!67!)+')@!
P!" ! " ! " # #
!
!
!
"
!
"" "# $ " "" # !
A%,#2B! 3,'76#,3,%)7! '#,! )$3,! $%/,.,%/,%)?! 7"! <,! +'4,! %"! $%C"#3')$"%! "%! )+,! )$3,!
/,.,%/,%(,!"C!)+,!'3.5$)6/,7?!D6)!<,!E%"<!7"3,)+$%2!'D"6)!)+,3!C#"3!)+,!0(+#1/$%2,#!
)$3,!,4"56)$"%9!!*+67!)+,!"#$2$%'5!7)'),!'%/!)+,!)$3,F,4"54,/!7)'),!'#,@!
! ! ! " # !! ! $ !" " !!!"!!! !! # !" #
#
! !!" #
!
! !$ " # "
"
#
#
"
#
$% "##! ! $ "##" " &'
(# )#$
"
#
!
$% "##! ! $ "##" "(#) $ " &'
G"<!67,!)+$7!)"!C$%/!)+,!,-.,()')$"%!4'56,!"C!)+,!."7$)$"%@!
! ! ! "" # ! ! "" # !
!
$& "!"
!
!
! #"
!
! #
! #" !
%
#
!
"%
#&$ $
!
! #"
! "" # $" $ $ ! "" #
#"
#
$ $ %#&$# # %$&" " $ " $ $ %
#& "!"
#
!
%& %#&$# %$&" " %&$$ # $ " $ $ %#&$$ %&$# %#&" " $ $ # '(
"%
&$ $
$ $ %&$# # %#&" "
#
!
!
! #" %&' "" " $ $ $ # $# #
!
H,%(,! ! ! ! ! !"" "#$ " # ! $3.5$,7! )+')! !! ! " !" " # # # 9! ! *+,! "4,#'55! .+'7,! $7!
!
6%E%"<%!D6)!/",7%I)!3')),#!J('%%")!D,!3,'76#,/K9!!G"<!67,!)+$7!)"!C$%/!)+,!,-.,()')$"%!
4'56,!"C!)+,!3"3,%)63@!
!
!"##"#$%
! #
! #" !
%& %$&" " $&$$ #&$# $ %#&" " #&$$ $&$# '( !
%
&'##%
!"#$%$&'()*+',-$
! ! ! "" # ! ! "" # ! #
!
!
$# "!"
!
$" !
!
!
$" ! #
! !
!
$" ! #
! !
!#
&
$" !
!
"&
"&
#
!
"&
##$ #
$" !
!
#"
&
$#" " $#$ # ##$$
#
# $ &##$$ $ &$#" " % " # % &
##$$ $#" " #$ #
&
! "" # %" # % ! "" #
## "!"
$ % " # # &##$# &#$$ &##" " # % $
#
# &##" " ##$# $#$$ ! #
$" !
!
$
!
#
"&
#$ #
# $ &#$$ $ &##" "
#
!
%&' "" " $ $ # # $$ # ! #
$" !
!
%&' "" " $ % ! #
()% " "
!
"#$%!&'(!)*+!,(-./0(1!(2(034(.!-0(!)'(!!!5!$6!7!.)-)(.6!.+!)'(!,(-./0(,(2)!)(88.!/.!)'-)9!
P!" ! " ! " # #
P!" ! " ! " # #
!
P!! ! ! ! " # #
!
!
! $"
!
!
! $" ! #$%& !
!
'
!(
!
! $! ! #$&) !
! " (% # " $" ! (% %&#" !
"&
!(
!
! " )( # " $! ! )( %&#!
!
&'/.!*(!:-2!:+2.)0/:)!)'(!+04342-8!.)-)(!-21!)'(!)4,(!(;+8;(1!.)-)(9!
! ! ! " # "# #$ $!""" " $ %!""& & %&
!
'"
! ! # " # "# #$ $!""" !'" $"# ! " $ %!""& !'" $&# ! & %& # "# # $!""" !
$
'" $( #
# "# !""" ! & #$ $ " $ %!"!"& '"" "!'"( # & %&
!
$( #
&
" $ %!""& !
'" # &( #
& %!
&
<+*!/.(!)'4.!)+!=421!)'(!(>?(:)-)4+2!;-8/(!+=!)'(!?+.4)4+29!
! ! ! "" # ! ! "" # !
!
$& #"! " $
%
!
!
! #"
!
!
$
! #" !%
%
" #%
!
! #"
#&$$
! "" # $" $ $ ! "" #
$ $ &%#&$! %$&" " !
#" $
"
#
$$ %
#& #"! " $
%
" #%
&$$
$ $ &%&$! %#&" " !
%&$!%#&$! %$&" " %&$$ ! $ " $ $ $!%#&$$ %&$! %#&" " $ $ ! '(
#
!
! %& %$&" " $&$$ #&$! $ %#&" " #&$$ $&$! '( ! #!" !&
! ! #!" $!
!%
!% '() "" " $ $$ # $ ! #
!
@=! ! ! 4.! -! ,424,/,! -)! ! ! ! 6! )'(2! !"# !!$ " ! % " # "$! -21! !!! " ! " " # # #! ! &'(! +;(0-88!
?'-.(! 4.! /2A2+*2! B/)! 1+(.2C)! ,-))(0! D:-22+)! B(! ,(-./0(1E#! ! &'(! )4,(! 1(?(21(2)! *-;(!
=/2:)4+2!4.!
!
! ! !!" " # #
##
! "# % ! ! " $ &#
# ! "% ! ! " $ &#
"$ "## " $
%
"$ "## "
$$$ $
%
$$$
$
$
$$ #
"
! ! "" # #
#"$# "% # ! ! " # #
"$& "$# "
#
%#
"$ "## " $$$ $
%
#
"$ "## "
#$$$
! "% ! ! " $ &# !
$
%
$ $ # "$$ " "$# "
$
! "% ! ! " " &#
$
"$# "
#
%# ! !"
% # ! ! ""
"!
@2!F40-:!2+)-)4+26!)'(!.)-)(!4.!
!
! !! " # "
"# !#" ! #$# #
$
"
%& ! # " %""## ! " '( !
BE!&'(!(>?(:)-)4+2!;-8/(!+=!)'(!,+,(2)/,!4.9!
!"##"#$%
%
&'#$%
!"#$%$&'()*+',-$
! ! ! "" # ! ! "" # ! #
!#
!
!
$" !
!
&
$# #"! "
&##$$
" #$!&
$" ! #
! !%
$
%
$" !
!
! "" # %" # % ! "" #
" # $ # &&
$#" "
$#" "
!
! % $ $ $!&
"
#" %
##" "
"
#
#% &
## #"! " #$$ $
%
&
#
$% ! !
" # $ # &&
! " #&
##" "
$#" "
$" ! $!#
!
!%
!
$&
#
##" "
#
!
! ! $" ! !% '() " "
"#!$%&!&'(&")*)+,-!.*/0&!,1!)%&!&-&234!+5!
!&
! ! ! !" P!" ! ! # " " !" $ !" P!"
"
"
P!" ! " # # # $
!
!
"
! "$
$% #"" # %%! !
$
$
# # ! $ %$
&& "! " !'& ""
!
"$
!
$
"
!
!
"$
!" % & "# " !' $" & !
!
"$
"
!
"
# "! $% " "
"
!
! ! ! # " " !" $ !" "$! && "! " !'& "" !
!()
$(
$%" #
!
"$
!" % !()
" &
!" ! "*!%!"
!
6789! ! *#! ! :&1,2&! ;&! <,! *-4! "*/"0/*)+,-5! ;&! =05)! -,2=*/+>&! )%&! 5)*)&7! ! ?&)@5! 05&! A+2*"!
-,)*)+,-!),!5+=(/+14!)%&!"*/"0/*)+,-57!
! ! ! " # ! "# ! $ " # $ " " $%
# # ! ! ! " ! ! ! " # !$ "# ! $ " # $ " " $% ! "# ! $ " # $ " " $% !
!
# ! "# ! ! $ % # # $ % " " %$ # ! &!!!!!!!!!!!!!& ! #
"
"
#
'
B&!*2&!12&&!),!"%,,5&!C!),!D&!2&*/!*-<!(,5+)+.&!D&"*05&!*-!,.&2*//!(%*5&!+5!-,)!(%45+"*/7!!
E,;! /&)@5! 1+-<! )%&! )+=&! <&(&-<&-)! 5)*)&! .&"),27! ! $%&! ",=(,-&-)! 5)*)&5! *2&! &-&234!
&+3&-5)*)&5F!5,!;&!5+=(/4!=0/)+(/4!D4!)%&!*((2,(2+*)&!(%*5&!1*"),25G!
! !!" #
"
#
! !! " #
"
#
!
!
!!
!"
# "# "
"#
$$ " $$ $
$!
!
!
"# #$ !
! $ $"
!!
"#
"
$"
!
!
" $ $"
"#
$$
!
!
" !"
$ #
$ $""## ! " $ $""# $# ! $
"
#
"# #$ !
! $ $"
"# #$# !
" $ $"
"
"# %$# !
"
$ !
:&"*05&! )%&2&! *2&! )%2&&! &-&234! &+3&-5)*)&5! +-! )%&! 5)*)&! .&"),2F! )%&2&! *2&! )%2&&! (,55+D/&!
&-&23+&5! !" ! # " " !" $ !! ! )%*)! "*-! D&! =&*502&<G! !!! ! "# !! $ !" ! #% !! $ !# ! &# !! 7! ! $%&!
!
(2,D*D+/+)+&5!*2&!
!
!"##"#$%
P!" ! " ! " # #
!
! " "# $
"% #! #
"$
%
$ !$"%# # " $ !$"% !# # !
#
!
!
&'#(%
!"#$%$&'()*+',-$
P!! ! " "# # ! "% ! !&"" "
$
P!" ! " $# # ! '% ! !&''' !
$
!
P!$ ! " $# # ! '% ! !&'''
$
"#$!$%$&'(!)*+*$)!+&$!)*+*,-%+&(!)*+*$).!)-!*#,)!&$)/0*!,)!*,1$!,%2$3$%2$%*4!
56! ! "-! 7,%2! *#$! $83$9*+*,-%! :+0/$! -7! *#$! 1-1$%*/1.! /)$! 0+22$&! -3$&+*-&)! &+*#$&! *#+%!
2-,%'!)3+*,+0!,%*$'&+0)4!
$" !
! "" # %" # % ! "" #
!
! ! ! "" # ! ! "" # ! #
!
!#
$" ! # $# "! "
$% % $ !&$#" " # $ !&$# !" " ! &' % " # %
$&
!
!#
$" ! #
#!&##" " % % # # '&##" " # % ! $ !&$#" " # % " % $ '&$#" " ! % " # &'
& $
%
!
!#
$" ! #
##" "
$
# ' !&##" " $ ! #&$#" " $ ' !&$#" " &'
& % #! #&
!
!#
$" !
!
"
#
&
" ! $ ' ! #" &
!
$#" "
!
# &##" "
! !!
#
#
$
&
## "! "
$% % $ !&##" " # $ !&## !" " ! &'
!
#
"" !
!
"
#
#$ " ! ! $ %&' " # !
96!!;$&$!+'+,%.!<,&+9!%-*+*,-%!,)!),130$&4!!"#$!$%$&'(!)*+*$)!+&$!)*+*,-%+&(!)*+*$).!)-!*#,)!
&$)/0*!,)!*,1$!,%2$3$%2$%*4!
!
!
! ! ! " ! ! !" "# # " $ ! " $ $ $% " !" "# # " $ ! " $ $ $%
!
""
!&
! !% "# # " # " & ! " ! " & $ " $ $% ! !% # !$ !& " & $" !& " & '$ !& $ ! !(
!! !
!
!!
"
!! " !#$%!!! !
"#$!)+1$!&$)/0*!,)!-5*+,%$2!=,*#!*#$!3&-5+5,0,*(!=$,'#*,%'!1$*#-2>!
!
!
$$
! ! ! !" P!" ! !" !" !# " "$ !" %# " &" !" %# ! !'
!" ! !!( !" !
"
26!!?-=!7,%2!*#$!)*+%2+&2!2$:,+*,-%!-7!*#$!$%$&'(4!
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
!! !
"! "
!
#
!
!
! ! " !! ! $ !
!
!
!! " !
!
! ! ! # " ! # ! "# $% $ $ ! " $ ! ! &' " ! "# $% $ $ ! " $ ! ! &'
!
!
!
!
! ! ! "% $% $ " ! $ $ & " " ! " $ & ! " ! ! &' ! "% $" "! !( # $ & " !# !( # $ & " '! !( # & !
%
'
!! !
!! !
!
"#(
#)
! !( !
"#(
#)
##
! !( ! " " "*
# ! !( ! ! !(
!
"&&
"* !
!
!!! ! " !" !
!
!
"#$%#!&'(!)*++(,(-.*/0!(12/.*3-!.(004!24!.'/.!5(!5/-.!/!+2-6.*3-!5'34(!)(,*7/.*7(!*4!(12/0!
.3!.'(!+2-6.*3-!*.4(0+!.*8(4!/!63-4./-.!/-)!!"#
!
"
!! ! " " # "
"!! ! " " #
#
!
!"
#
!
!
9(!:-35!.'/.!.'(!)(,*7/.*7(!3+!.'(!(;<3-(-.*/0!+2-6.*3-! ! " !*4!*.4(0+=!43!.3!>(.!.'(!(;.,/!
+/6.3,! 3+! !! 5(! -(()! /! !?! *-! .'(! (;<3-(-.#! &3! >(.! .'(! 820.*<0*6/.*7(! +/6.3,! 63,,(6.=! .'(!
!
+2-6.*3-!824.!@(!!!! " ! #" ! #!!A35!-3,8/0*B(C!
#
#
! ! $ !" " ! # "! ! $ #$" !
"#
"#
!
D,38!E1#!FD#??G!5(!>(.!.'(!*-.(>,/0=!>*7*->!
!
#
#
# %% !
#
"! ! #
#
$
#
"#
$" !
#
%% !
"& !
"! !
"
"
!! ! "
" ! ! " "! ! !
"
!
H'334*->!.'(!-3,8/0*B/.*3-!63-4./-.!.3!@(!,(/0!/-)!<34*.*7(!>*7(4!
!
"
!
$ " ' # * !$
!! ! ! " # &
#
% " "# ! )(
!
$ "# !
!
!
"#$"#! ! &'(!D32,*(,!.,/-4+3,8! 3+!.'(!<34*.*3-I4</6(!5/7(!+2-6.*3-!>*7(4! .'(!838(-.28I
4</6(!5/7(!+2-6.*3-C!
%
"
!! ! ! " #
# ! ! " " #$$!" ! %" !
&
$%
#" !
!
J4(!.'(!</,/8(.,*B/.*3-! ! ! !" ! !.3!5,*.(C!
!
!
"
"
!
$ #
$ "" ' # *"" ! $ $! $ + ' * + $ ! $ $
!
!! ! !" # &
#
#& ) #
% #! )(
% #(
!
A35!*-.(>,/.(!24*->!E1#!FD#?KGC!
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
"
! # !! " #
!
! !
!$#
!"
$ $!
!
"
%# "
" "!
!
"
!
"
+
+
# #
$ # # ' $ * # # # # # $ !# !
"
" $ ## ' $
!! ! ! " #
"
"
%# #
"* # #
,
,
&
)
&
)
#" ! *+ % " (
#" ! % " ( *+
"
" $ ## ' $
#
#" ! &% " )(
"
# #
#
!
"#$%&'&#&'()!!! ! !" ! !)'*+%!
$ ## #
"
$
" # " $ " ' "* !#
! &% "# # )(
%#
!
"
!
! $ ! ! "#
#$$ !# !
#! #
# #
"
$ " ' # * !$
!! ! ! " # &
#
% ""# ! )(
!
!
$ "# !
!
!
!
,-./-!!01+!'('&'23!42*+!5#(6&'7(!'%!
! ! !! " " # " " ! ! # !" " # ! $ # % " % "# $
$
!
#
! !# !" "#
#
-!
8%+! 9':+(%'7(3+%%! *2;'2$3+%! &7! :2<+! =37&&'()! +2%'+;-! ! >+&! ! ! ! " ! " #" ! -! ! ?7;! &1+!
!
62%+!
75!
!
!
!
"
!
@!
4+!
12*+!
&1+!
9':+(%'7(3+%%!
=2;2:+&+;!
!
!
!
!
!
"
!
!
#
"
#
"
!
!
"@!2(9!&1+!42*+!5#(6&'7(!'%!
!
!!
!
! ! !! " " # !# " " $ "#! !##"
#
%
%
-!
2A!!8%'()!&1+!B2&1+:2&'62!67::2(9!C4'&1!&1+!5#(6&'7(!!
!"#$%&!9+5'(+9!2%! ! ! ! " " D!
!
!"#$%&'!&()*+)!&()*,-+.)'*),/)/.+!
)'*+%!&1+!=37&D!
y
0.6
0.5
0.4
0.3
0.2
0.1
-4
2
-2
!
$A!!01+!7*+;32=!'(&+);23%!
!
!"##"#$%
4
z
!
$
!" ! " ! ! % " "! " # #! " # # $# !
#$
%
&'#!%
!"#$%$&'()*+',-$
!"#$%&'$%$()*+,"-+%.-$//"."$+&,%/-0%&'$%$+$0!1%,&*&$%,2)$0)-,"&"-+3%
#
! ! ! " # $ "#" # ! ! " %
%
##!
4'$%5*&'$6*&".*%.-66*+7%
%
!"# $ %&'()*+*,#-)./&-)*!*012 3 456 !*#12517213,#89#9-:1,#89#9-:;5517#101<;5 %
!"#$,%&'$%&*89$%-/%.-$//"."$+&,3%
!"#$$%%&'"#(("$&'"#)$(*&'"#++),&'"#"*-$,&'"#"+)($&
%
!!!'"#""*.*&'"#"""-$&'"#"""),&'"#""""($/
%
"
#
4'$% $()$.&$7% #*92$,% /-0% *% .-'$0$+&% ,&*&$%*0$% !" ! ! " "! #"! " %:"&'% !! ! !! "" "! ;%%
<-0% &'$% .*,$% !!! ! ! "! =% ! ! ! " % *+7% &'$% $()$.&$7% .-$//"."$+&,% *0$%
!" ! ! " " "# #!! $ =%:'".'%*0$%
"
#
"
!"#$$%%&'"#(("$&'"#)$(*&'"#++),&'"#"*-$,&'"#"+)($&
%
!!!'"#""*.*&'"#"""-$&'"#"""),&'"#""""($/
%
*,% $()$.&$7;% % >'$.?% &'*&% @A% .-$//"."$+&,% *0$% ,2//"."$+&% &-% )0-)$091% 0$)0$,$+&% &'$% :*#$%
/2+.&"-+%81%,266"+!%&'$%)0-8*8"9"&"$,;%%<-0%*99%,&*&$,=%:$%?+-:%&'*&%&'$%,26%",%2+"&1%
!
!
" !" ! " P" ! # %
%
"!"
!
"!"
<-0%&'$,$%@A%,&*&$,=%&'$%5*&'$6*&".*%.-66*+7%&-%,26%&'$%)0-8*8"9"&"$,%",%
"#$%&'()'$ !"*#$ !"+,--.//012.1314&,567-+,/8#$12091098#$ %
!
%
*+7%!"#$,%&'$%0$,29&3%
%
!"#########$%#!&&!!!!! %
B-%:$%*0$%6",,"+!%-+91%C%)*0&,%"+%@A@A%-/%&'$%)0-8*8"9"&1%-/%&'",%,&*&$%81%2,"+!%&'$,$%@A%
,&*&$,;%
.D%%4-%/"+7%&'$%$()$.&*&"-+%#*92$%-/%&'$%$+$0!1%)$0/-06%&'$%,26%
"
! ! ! P" !" %
%
"!!
E+%5*&'$6*&".*=%&'",%",%
%
0
!"#$%&'()'$*+#$*,-**.// 12.345067.7478&-9:;*,-//740740/%
!"#"+!%&'$%0$,29&3%
%
!"########$%#& %
"+%2+"&,%-/% !!! ;%% 4'2,% ! ! ! !! ;%% 4'",%9--?,%0$*,-+*89$%!"#$+%&'$%'",&-!0*6%F*+7%*9,-%
*!0$$,%:"&'%G0-89$6%H;CCD3%
!"##"#$%
%
&'#(%
!"#$%$&'()*+',-$
P
1.0
P0
0.5
P1
P2
P3
P4
P5
P6
P7
P8
P9
E0 E1 E2 E3 E4 E5 E6 E7 E8 E9
E
"#!!$%&!'()&!"&*&+"&+'!,-.&!/0+1'(2+!(3!
$
!
$
! ! !!" " # % #$ %"&'$" !# $ ! ! " # %"&& " # % #$ %"&$& "# $ ! ! " !
$#"
$#"
!
4+()-'(2+!2/!'%(3!(+!5-'%&)-'(1-!6(.&3!'%&!*72'38!
!
"Coherent State Superposition"
têt = 0.
têt = 0.1
têt = 0.2
têt = 0.3
têt = 0.4
têt = 0.5
!
$%&! 9-033(-+! ,-.&! /0+1'(2+! )2.&3! :-1;! -+"! /2<'%! ,('%(+! '%&! %-<)2+(1! ,&77! ,('%20'!
1%-+6(+6!('3!3%-*&=!
&#! ! >2<! '%&! 1-3&! 2/! !!! ! " ! "! ?! ,&! %-.&! '%&! "()&+3(2+7&33! *-<-)&'&<!
!!! ! ! "! ! #" ! " ! #" ! " ?!-+"!'%&!,-.&!/0+1'(2+!(3!
!
! ! !! " " # !# " " $ "#! !#$ "
#
%
%
=!
$%&!,-.&!/0+1'(2+!*72'8!
y
0.6
0.5
0.4
0.3
0.2
0.1
-4
2
-2
!
!"##"#$%
%
4
6
z
!
&'#(%
!"#$%$&'()*+',-$
!"#$%&'$()*'$ !! ! " ! "! +$ ! ! ! ! $),-$%&'$'./'(%'-$("'001(1',%*$)#'2$
!
!"#"$%&$'()*"#"'$%"++)*"#$"&(",)*"#$(,$,&)*"#-&,-.')*"#&"-(($)*
"#&+,+%&)*"#&.&($&)*"#&.&($&)*"#&'--+()*"#&$'"'%)*"#-(%(%-)*"#-$,&.%)*
$
$
"#$.-",+)*"#$&"",$)*"#",'""'-)*"#"(.$.%%)*"#"+("%+&)*"#"&".--%)*
"#"$,,&'(/
3&1*$%14'+$56$("'001(1',%*$7'%*$8*$69:::;<$"0$%&'$%"%)=$/#">)>1=1%?9$
3&'$','#7?$'./'(%)%1",$@)=8'$1*$
! ! ! !"#!! $
1,$)7#''4',%$A1%&$B#">='4$<9559$$C1*%"7#)4$"0$','#7?$/#">)>1=1%1'*2$
$
P
1.0
0.5
E0 E2 E4 E6 E8 E10 E12 E14 E16 E18
D,14)%1",2$
E
$
"Coherent State Superposition"
têt = 0.
têt = 0.1
têt = 0.2
têt = 0.3
têt = 0.4
têt = 0.5
$
D7)1,+$ %&'$ A)@'$ 08,(%1",$ 4"@'*$ >)(E$ ),-$ 0"#%&$ A1%&1,$ %&'$ &)#4",1($ A'==$ A1%&"8%$
(&),71,7$1%*$*&)/'9$$F%$1*$-1*/=)('-$0)#%&'#$0#"4$%&'$"#171,+$>8%$&)*$%&'$*)4'$*/)%1)=$A1-%&$
G%&'$*()='$&)*$(&),7'-H9$
$
:95I9$$3&'$J"#*'$/"%',%1)=$1*$
$
!
"
!" ! # " # $% %!!" ! #! #" " ! !%!" ! #! #" " $
A&'#'$%&'$(",*%),%$ ! $1* ! ! " ! !"# 9$$K./),-$%&1*$1,$)$/"A'#$*'#1'*$0"#$*4)==$@)=8'*$
"0$ ! ! ! " !! " 2$
!"##"#$%
%
&'#&%
!"#$%$&'()*+',-$
!
!" ! # " # $% %!!" ! #! #" " ! !%!" ! #! #" "
!
!
"
$ # ! !" ! # ! # " $ # ! !" ! # ! # ""! ! # ! !" ! # ! # ""%
"
"
"
!$
%$
&
# $% &
!
%
#
#
&% !! # ! " ! # ! #" " $ !$ !" ! # ! #" "" ! %$ !" ! # ! #" ""
!
$# ! !" ! # ! #" " $ !" ! ! # ! #" "! ! &% " % ! # ! #" "% '
)
# $% &
&% !! $ !" ! # ! #" " ! " ! ! # ! #" "! $ #% " % ! # ! #" "% )(
"')
" ))( !
!
%
# $% $ !# $ " ! ! # ! #" " ! " % ! # ! #" " '
%
(
"#$%#!&'#!'()*+$,%!(--)+.,*(&,+$!/$#01#%&!%23,%!&#)*4!0,5#6!&'#!-+&#$&,(1!
!" ! # " ! "$% # # ! $% ! # " #" " !
!
!
7,&'!(!*,$,*2*!(&!&'#!3+$8!1#$0&'9!!:'#!%23,%!%+))#%&,+$!&#)*!,6!
!"#$%" ! & " ! "# ! '( ! & " &" " !
!
!
!
;9<<9!!=6!7#!8,8!>+)!&'#!'()*+$,%!+6%,11(&+)?!7#!26#!&'#!#$#)0@!3(6,6!(6!&'#!8#>(21&!3(6,6!
>+)! (! *(&),.! )#-)#6#$&(&,+$9! ! =$! +-#)(&+)! ,6! (17(@6! 8,(0+$(1! ,$! ,&6! +7$! 3(6,6?! ($8!
#,0#$5#%&+)6!()#!2$,&! 5#%&+)6!,$!&'#,)! +7$!3(6,69! ! A+! &'#! "(*,1&+$,($!,6!8,(0+$(1!,$!&'#!
#$#)0@!3(6,6!($8!&'#!#$#)0@!#,0#$6&(&#6!()#!2$,&!5#%&+)6!,$!&'#!#$#)0@!3(6,69!!:'#!8,(0+$(1!
#1#*#$&6!+>!&'#!"(*,1&+$,($!()#!&'#!#$#)0@!#,0#$5(12#6?!6+!3@!,$6-#%&,+$!+>!+2)!#$#)0@!
#B2(&,+$!!!" ! " !!! ?!&'#!"(*,1&+$,($!,6!
" "!
!
!
!
# %
$ ! ""!
!
!
# '
'
$
!
#$"!
!
! !$ !
!
# '!
$ !
!
!
%&"! # '
'
$
$
$
$
% &
# $
!
7'#)#!&'#!)+76!($8!%+12*$!()#!+)8#)#8! !! ! !" #" $""9!!C$!&',6!*(&),.!)#-)#6#$&(&,+$?!&'#!
#$#)0@!3(6,6!6&(&#6!()#!&'#!2$,&!5#%&+)6!
!
!
#
#
! !#
#
#
"
!
!
"
"
"
"
$
! " $
! " $
&
# ! &
# " &
&
&
&
#
#
& #!! $ ! # " & #!! % ! # ! & #!!#!
&
# " &
# " &
&
# " &
# " &
%
%
%
"
"
:+!>,$8!&'#!*(&),.!>+)!!?!>,$8!&'#!,$8,5,82(1!*(&),.!#1#*#$&6!26,$0!&'#!8#>,$,$0!#B2(&,+$!
>+)!!D!
!
!"##"#$%
! " ! !" " " " " !
%
&'$(%
!"#$%$&'()*+',-$
!"#$%&'$%()*+$,&-*.%*.&*%".%")/-&)")0%1&"&$2%
%
!"# ! " ! # ! " !# " # " " ! !# " " # " " ! !# "! "##"" %
!'314%5*)%$6"7(8$4% !!! ! " 4% !!" ! # 4% !!" ! ! 4% !!" ! #" 4%9-&'%&'$%)$138&".&%7"&)-6%/$-.:%
%
!
#
#
!!#
#
#
#
! "
! ! !
! ! !
" ! !
! #$ !
! ! $%
# #
#
!
!
!
!
!
#
!
!
!
!
!
#
"
"
"
"
"
$
$
&
&
&%
&
&
&
%
%
%
!"##"#$%
%
&'$#%
!"#$%&$'()*+,(-.$
!"#!$$%&'$()*+,-./+)/$+0$
!!
$
!!
" # ! " ! !#
%
!!
"! " " ! #
! %$
&
($
('
!
1+/2$-&'$'+3'/4),5'0$!$50+/3$-&'$0'65,)7$'85)-+./$
!"# ! ! " " ! $ $
$
%&'$0'65,)7$'85)-+./$9.7$-&+0$()*+,-./+)/$+0$
!
!
! " ! !# # " #
!!
"
!
!
$"$
!
!
!!
" "! " ! ! # # " #
!
!
$
!
)/2$0.,4+/3$:+',20$-&'$'+3'/4),5'0$
!
!
!
!
!
# !&
#! &
! ! " % ( ") " ! ) # # " % ) ! ( $ "
$ !'
$! '
!
# !&
#! &
! $ % ( ") " ! ) # # ! % ) ! (
$ !'
$! '
!
$
!
!$%
!
!
$
") " ! )# #! ! ) !!
$
!"#;$$<005*'$-&'$='7-57>)-+./$'?=)/0+./0@$
!" ! !"" ! # $ ! !"""# $ ! # !"" # # $ ! $ !"" $# $ "
$
" ! "" ! # $ ! """# $ ! # "" # # $ ! $ "" $# $ "
$
!
A5>0-+-5-'$-&'0'$+/-.$-&'$'+3'/4),5'$'85)-+./$ " ! ! ! ! ! " # " $ #" " $-.$3'-$
" ! ! ! !! "# "
$ #" "
"
#
$ #"" ! # ! ! #"""# ! ! # #"" # # !" # (
&
" ! ! ! ! ! " # " ! ! " ! ! " !" $ &% "!#
)
""#
"##
#
&' " ! ! " ! ! " !" &*
.
+ #"" ! # "" ! # ! ! #"""# "" ! # ! ! # #"" # # "" ! # !"
!
"
#
"
#
"
#
"
#
#
$ ! ! " ! ! ! ! " ! ! ! ! " !" ( 0
&
&
" ! # ""#
""#
""#
# ""#
$ "##
0
$
!
#
"
!
!
#
"
!
!
#
"
!"
!
)
%
"
"
"
"!#
""#
"##
#
$
0
!
!
!
!
!
!"
!
!
"
!
"
!
"
"
"
"
&*
&'
-, ! ! # #"" ! # "" # # ! ! $ #"""# "" # # ! ! % #"" # # "" # # !"0/
!
$
"
"!#
""#
#
"##
#
"
#
B.,,'6-$-'7*0$.9$-&'$0)*'$.72'7$.7$=.C'7$.9$-&'$=)7)*'-'7$ ! !$
!"##"#$%
%
#&'#%
!"#$%&$'()*+,(-.$
!
# ! ! "! ! " # ! ! ! "!"" # ! " "! ! "
%
$ #
!#"
!""
#"
%&# ! ! ! " # ! " "
!
!
!
"
"'% $ *, #
!!"
"
!
"
"! ! " # ! #"!"" "! ! " # #"! ! " "!"" #
(
!#" !!"
!"" !""
!!" !#"
#
%) ,+ # ! #" " # #" " # #" "
!
"
/!
#"/.
"#$!%&'#!('"(("#)'!
!
#! ! ! ! "! ! " " #"! ! " "! ! " # ! ! ! "!"" " #"! ! " "!""
%
$ #
!#"
!!" !#"
#"
%&# ! ! ! " " #" "
#! ! ! ! " #"! ! " "! ! " # ! ! ! " #"! ! " "!""
%
$ #
!!"
!#"
%&# ! ! ! " #" " #"
!
!
!
!
!
" !
"
"
!
!
"
"'% $ +- ! ! #
!""
"
"
"! ! " " ! * "! ! " #
.
0
#"0/
(
!"" !""
!""
!#" !!"
#
%) -, # ! ##" " " ! * " # #" "
.
' + ! #"!"" " ! * "! ! " #
% 0
($
!""
!""
!#" !!"
#
#"0/
%) , # ! #" " ! * " # #" "
!
"
!
%!
"
"
&
"
!*+(!%&'!',)'#-"./'!'0/"%,+#!%+!&+.$!1+(!"#2!-"./'!+1! ! 3!%&'!4+'11,4,'#%5!+1!.,6'!+($'(5!+#!
%&'!%7+!5,$'5!+1!%&'!'0/"%,+#!8/5%!9'!'0/".3!"#$!7'!4"#!,5+."%'!"#!'0/"%,+#!1+(!'"4&!+($'(!
,#!%&'!':;"#5,+#!;"("8'%'(<!!=&'!('5/.%!,5!%&'!1+..+7,#)!5'%!+1!'0/"%,+#5>!
!
!
!
! " !
"
! ! ! " "!!!! ! " " ! " " #! " # ! " ! " " ! # " #! " !
!
! ! ! " "!!!! ! " " ! " " #! " # ! " ! " " ! # " #! " $ " ! " #! "
!
! ! ! "!!! ! ! " "#! ! " #! ! " # ! !
!
#
!
#
#
!
#
!
#
#
!
#
!
#
$
$
#
!
#
#
!
?'!4"#!,#1'(!%&'!."5%!'0/"%,+#!!
!
! " !
"
!
"
! ! ! "!!! ! # " "#! # " #! !" # "#!$" " ! # #! % " $ "#! % " #!$" $ "#! !" #! # " !
!
!
@A<B! ! ?'! 5+.-'! %&'! 1,(5%C+($'(! ;'(%/(9"%,+#! '0/"%,+#! %&"%! 4+#%",#5! %&'! 1,(5%C+($'(!
4+(('4%,+#5! !"!!" !"#$! !!!" !%+!%&'!',)'#-"./'5!"#$!',)'#5%"%'53!('5;'4%,-'.23!"5!/#6#+7#5>!
!
!!
!
"
!
"
! "#! ! " #!"" # "#!"" ! ! " #! ! " !
*+(!"!BC5%"%'!525%'83!%&'!8"%(,4'5!(';('5'#%,#)!%&'!D"8,.%+#,"#5! ! ! !"#$! ! ! !"('!
!
!"##"#$%
! " #!$
"
#
!! ! # !
#
#" !
! ! ""'
#
'
! ' ! # ! %"
# !'
&"
"
!
!
!
"%#!$
!
!
"&#!$
! "%'
! %%
'
! &%
'
%
$
&
&
&
&%
! "&' $
&
! %&
' &
! &&
' &%
!
#&'$%
!"#$%&$'()*+,(-.$
!"#$%#&'(")'&*#&$#+#&,-$#.,#+/(0(#$ ! ! "#$ $./$
$
!
"#$
! # $
!# % & $
#
&
" # %
!
!"#$1.&/()'&*#&$2'&&#2(.'+$('$("#$#.,#+/(0(#$ ! ! "#$ $./$+'($-#($3+'4+5$0+*$4#$2"0&02(#&.%#$.($
.+$(#&6/$'1$0$/#($'1$-#()(')7#)1'8+*$1.&/()'&*#&$2'#11.2.#+(/$ !!"#$" ! " " % # !"## $.+$("#$%#&'(")
'&*#&$70/./$$
! ! "#$
$
! !"#$
!#
# "#$
! # !!!
# "#$
#" !!%
$
&
&$
&
&%
!
9'&$("#$2"'.2#$ ! ! ! 5$("#$:#1()"0+*$/.*#$'1$("#$1.&/()'&*#&$;#&(8&70(.'+$#<80(.'+$./$
!!
!
"
! ""#!$ " #%$
" " #!$ ! " #!$
%
"
$
!$
!
$
$#
!
!
!
!
!
!
"&#!$ ! ""#!$
% " ##%$
' $ &%
#%$
' $ #&"
' $ #%$
'& $# #&&
% "
' $
' #$
' $
'& $
#
!
!"#$&.,"()"0+*$/.*#$'1$("#$1.&/()'&*#&$;#&(8&70(.'+$#<80(.'+$./$
$
!!
"#$
!
"
! " " ! "%$
# ! "#$ ! " "
!
##
%
!%
! " !#
"
%
%
! " &#
"
$
! " #!"
!"
"
!
"
#%$ %
! ""#!$ #"%
'
'$
!
'
#%$
'
"&#!$ ! ""#!$ #"&
&
#!$
%
&
#
! " #!"
(# % & %
( % # ( # % !!"#$ ! " !!
! " !&
"
"
( %
(%
% ' %
! " &!
"
!!"#$ ! " &&
" (' $
$
! " #&"
!!"#$ ! " !!
"
! " &!
"
!
=<80(.+,$("#$(4'$/.*#/$'1$("#$1.&/()'&*#&$;#&(8&70(.'+$#<80(.'+$-.#:*/$
$
"
$
$
$
$
#
!!
"
!
"
"!$ %
"
! # !%(
! !%"#$ "%!
' $
' # $ !%"!$ ! # %%
(
#
' $
"!$
' $#
! # &%
(
!&"#$ ! !%"#$ "%&
&
"#$
!
&
(
($
(
('
%
'
'$
'
'&
!"#$ /#2'+*$&'45$ 4".2"$4#$"0>#$7##+$".,":.,"(.+,$0::$0:'+,5$-.#:*/$ ("#$/':8(.'+$1'&$ ("#$
1.&/()'&*#&$#+#&,-$2'&&#2(.'+$('$("#$ ! ! ! $/(0(#?$
$
!!"#$ ! " !!
" !%
!!"#$ ! " !!
" ! !" % # " " !" % #
$
$
$
$
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
!"#$%%&'(%)*+,-./+0(+%1(+-2+34-*/5%*,%
'
' +&
&
% $%( .
!"!"# ! "" $ # #% ! "" $ # ! $$ # " " !%# &% ! $$ # - ()* & ' * 0 &%
' '&
' '& '
& ' )/
,
%
& ' %"+
$
% &$ % ( .(
&% ! $
! $$ # ' -" 1 +,( '
*
0
*
& ' ) /)
'
' ' '& & & ,
!
$$
'
!
$$
&
'
+ % ' ( % &$ % ( .
- % 1 '& &$ *) ()* '& ' *) 0
,
/ ' '& %
' % '(
+
. $$
% '(
- ' 1 '& &$ *) ()* " &$ # 1 & $ '& &$ *) ()* "$ # 0 ! '
,
/
+'.
-, & 0/
%
!"#6%%&'(%)*+,-./+0(+%,-4-(%7(8-/+%8/++(8-*/5%*,%
%
!
!!"
#$
"#!
"! " " # ! !! " "
!$
!""
!
!""
" $"
"
"!"" %
&'(%9(+/-'./+0(+%(*:(574;2(,%450%(*:(5,-4-(,%4+(%
!"! ! " # " "
%
! "!"
"#$"
"
# "! % &
#$% %
$ $ ('
$
" " "" ! %" #
!
</+%-'(%:+/250%,-4-(=%-'(%)*+,-./+0(+%,-4-(%7(8-/+%8/++(8-*/5%*,%
!!"
%
!!"
!
!!"
#$
!#!
! ! " " " ! !! " "
!#
!""
!
!""
" #!
"
%
!!"" %
&'(%+(>2*+(0%?4-+*@%(;(?(5-,%4+(%
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
$
! ! ! " " ! "! ! " # % " !! ! "# ! # "!$ ! # "!""! ! " ! # " %#
#$
#%
& $
!
" !! ! "# ! # "!!!""! ! " ! # " %# $ % " !! ! "# ! # "!$! !""! ! " ! # " %#
&
& $
# $! % " !! ! "# ! # "!""! ! " ! # " %# # $!
&
& $
!
"
!
$ &
' !& # *
' &#*
!%&' ) , %#
%&' )
,
%
&
$
( & +
( &+
&
"
!$" &
! !#""&
& %&' ! $ " 1/
$ -/ & %&' $
# $! .#
$
2
$& (! $ ") /
& / $& (! # ")
0
3
*+% ! !&
$! - $! *+% ! !&
$ - *+% ! !&
$ "
$ "1
$ "1
$
#
# !.
.
2
2
$
& 0 (! # ") (! $ ") 3 & 0 (! # ") 3
/
#"$ 1
$$ - #,
# ! . . !. . !.
2!1!!! # $. -. ,. 0. 2.333
& 0 "0
-0 3
!
!
"#$%#&!'(#!)*+,'!'(+##!'#+-,!*$!'(#!%.++#%'*.$,!/+#!
!!"
!
#
"! # " ! ! !! # "
!"
!#"
!
!#"
" ""
"
"
!#"
$ ! # " ! ! !! # "
$
!"
!#"
!
!#"
" "$
$
"
!#"
!
!"
!#"
!
"&## '#
!%# !(#
"! # " $ " " #
$ !#" $
" "
# !
# !
! " $"
!! " !% "
" !
"$%
"$%"
!%$## %" $ ! ! # "
" !#"
' !#"
#
% " " " " $ $ " %
' "
# ! &'
!(
'(
#
!
$
%! # " ! ! !! # "
!#"
" "%
"
%! # " $"
""$## '(# ! # "
% $" !
# "!"
!! " '% "
"$%"
'
$"(
)
!
0123!!4(#!)*+,'5.+6#+!,'/'#!7#%'.+!%.++#%'*.$!*,!
!
!
!!"
#$
"#!
"! " " # ! !! " "
!$
!""
!
!""
" $"
"
"!"" !
4(#!8#+'9+:/'*.$!-/'+*;!*,!
!
$
&
&
! ! ! " !""! ! # ! "# ! &
&
&
&%
!
#
!
"
#
!
"# !
"
$
!
"
"# !
"
$
!
"# !
"
"
"
"# !
"
"
#
!
"# !
#
!
"# !
"
'
)
)
)!
)
)
)(
<.+!'(#! !! " " !,'/'#&!'(#!)*+,'5.+6#+!,'/'#!%.++#%'*.$!
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
!
!""
#$
!#!
#
!
!! # " " ! !! # "
!#
!#"
!#"
" #!
!
!
"
!#"
"! # " " ! !! # "
#
!#
!#"
!
"
!#"
" #"
!#"
"
$! # " " ! !! # "
$
!#
!#"
!
!#"
" #$
"
$! # "
%
!% !
!#"
! !% !
"
$
$! # "
"
$
"
""
! ! !% # " ! !% # "
! ! !% # " ! !% # "
$
!
#"
!
!
$% ! ! # " % ! ! # "
" $
$
!% #
%#
"#$!%&'! !! " " !(%)%'*!%&'!+,$(%-#$.'$!(%)%'!/#$$'/%,#0!
!""
!
! ! # " " ! !! # "
#$
!#
!#!
#
!
!
!#"
" #!
!
"
$! # " " ! !! # "
#
!#
!#"
!
!#"
" #$
"
$
!#"
% ! # " " ! !! # "
$
!#
!#"
!
!#"
" #%
!
!% $
!#"
$ !% $
$
$
% !#"
! ""$ !% # " "$ !% # "
! ""$ !% # " "!$ !% # "
#"
!
!#"
!#"
%
$
"
% !#"
!
% $ !#"
!% $ ! # "
$ $
%
%#
$% #
"#$!%&'! ! ! " " !(%)%'*!%&'!+,$(%-#$.'$!(%)%'!/#$$'/%,#0!
!
!""
#$
!#!
#
!
!
!#
!#"
!
!#"
" #!
"
!
!#"
#
$! # " " ! ! ! # "
!#
!#"
!
!#"
" #$
!% %
$! # "
""
!% # " % !% # "
$
%
"$
%
#"
!
!!#" " ! ! !#"
"
$! # "
!
$% % ! # "
$
%% #
1&'!$'(23%)0%!/#$$'/%'.!(%)%'(!)$'!
! ! !" " # !
!
# ! #" " # !
% ! % ""# !
#" ! " " # " ! " " #
$ $
#
!" "
""
" ! ""#
#" ! " " #
! $
% !
""
!" "
#" ! " " #
#
!" "
!
!
!
!
!
!"##"#$%
%
#&'!%
!"#$%&$'()*+,(-.$
!"#$%%&'(%)%*+,-.!%*/*012%
# "" ! !
! &
(
%
%
! ! ! ! !""! ! " ! "# ! % !
!
! (%
%$ !
! !"" ! ('
!
341(1% 31% 4)51% 617,-16% 041% 8)(2'(% 7(19:1-;/% ! ! ! !" #$! "% & #% % <41% =1('04.'(61(%
1-1(>,1*%)(1%!!!! " " # !! " ?% !!! " " # " ?%)-6%!!!! " " # !!" " #%%<41%+1(0:(@)0,'-%A)2,B0'-,)-% ! ! %,*%
6101(2,-16% @/% 041% 7,1B6% !! ! !!" % )-6% ,*% ;4)();01(,=16% @/% )% 6,771(1-0% 8)(2'(% 7(19:1-;/%
! ! ! !" #$! "% & C%
$ "# " #
# '
)
&
%
! ! ! " !""! ! # ! "# ! & # #
# )%
&% # # ""# " )(
!
D1(0:(@)0,'-%041'(/%01BB*%:*%04)0%041%7,(*0.'(61(%;'((1;0,'-%0'%041%1-1(>/%,*%041%1E+1;0)0,'-%
5)B:1%'7%041%+1(0:(@)0,'-%,-%041%:-+1(0:(@16%*0)01C%
!"!"# ! # ""
! ! " !$# # ! " !$# %%
%
<41*1% )(1% 041% 6,)>'-)B% 1B121-0*% '7% 041% 2)0(,E% (1+(1*1-0,->% ! ! % ,-% 041% @)*,*% '7% =1('04.
'(61(%1-1(>/%1,>1-*0)01*#%%<41%2)0(,E%)@'51%04:*%/,1B6*%041%7,(*0.'(61(%1-1(>/%*4,70*%6:1%0'%
041%+1(0:(@)0,'-C%
!!!!" # !! !
!"!!" # #
%
%
!!"
!!$ # "!! !
DB'0C%
Eêh HMHzL
m = 1
10
5
m = 0
0.5
1.0
1.5
2.0
B1(Tesla)
-5
-10
m = -1
%
%
%
%
%
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
!"#$%%&'(%)%*+,-.!%*/*012%
# "" ! !
! &
(
%
%
! ! ! ! !""! ! " ! "# ! % !
!
! (%
%$ !
! !"" ! ('
!
341(1% 31% 4)51% 617,-16% 041% 8)(2'(% 7(19:1-;/% ! ! ! !" #$! "% & #% % <41% =1('04.'(61(%
1-1(>,1*%)(1%!!!! " " # !! " ?% !!! " " # " ?%)-6%!!!! " " # !!" " #%%<41%+1(0:(@)0,'-%A)2,B0'-,)-% ! ! %,*%
6101(2,-16% @/% 041% 7,1B6% !! ! !! " % )-6% ,*% ;4)();01(,=16% @/%)% 6,771(1-0%8)(2'(% 7(19:1-;/%
! ! ! !" #$! !% & C%
$
&
! ! ! " !""! ! # ! "# ! &
&
&%
!
%
#
!
"
"# !
"# !
#
!
"
#
!
"
#
!
"
"# !
"# !
"
'
)
)%
)
)(
<4,*% +1(0:(@)0,'-% A)2,B0'-,)-% 4)*% -'% 6,)>'-)B% 1B121-0*?% *'% 041(1% )(1% -'% 7,(*0.'(61(%
1-1(>/%;'((1;0,'-*#%%<41%*1;'-6.'(61(%;'((1;0,'-%0'%041%1-1(>/%,*%%
!"! ! " # $
%
!
"! " " # ! $ ! " "
%
! !! " " !! " "
"
"
$#"
"
$
&'(%041% !! " " %*0)01?%041%1-1(>/%*4,70%,*%>,51-%@/%)%*:2?%@:0%041(1%,*%'-B/%'-1%01(2%,-%041%
*:2%@1;):*1%'-B/% ! !"! " # C%
!!! " " # $
%
#
#
#
&'(%041% !! " "
#
!!! ! " # $
##!
%
#
#
!
! !! " " !! " "
"
!
!% !
"
#
!
$
#
!
#
"
!
!
!! " " " ! # ! " "
!% !
#
!
"
!% "
! ! ! " " ! ! " " ! !%
!
%*0)01?%041%1-1(>/%*4,70%,*%
!
"
!! # " " ! "! # "
#
! !! " " !! " "
##!
#
!! " " " ! #! " "
!
! !! " " !! " "
"
!
"
#
"
" #"
!% ""
%
"% #
!! " " " ! $! " "
$
! !! " " !! " "
"
!
#
"
$
!
! " " !% " " ! " $ !% " "
#
!
%
#"
!
%*0)01?%041%1-1(>/%*4,70%,*%
!""
&'(%041% !
%
"
!! # " " ! # ! # "
!! # $
!""
!
##!
!! # " " ! # ! # "
! !! " " !! " "
#
!
#
#
"
#
!! # " " ! "! # "
! !! " " !! " "
#
!
#
"
"
!% "
"
!% ""
#
#"
%
! "!% # " # " "% #
$
"
%
%
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
!"#$%&
Eêh HMHzL
m = 1
5
m = 0
0.5
1.0
1.5
2.0
B2 (Tesla)
-5
&
m = -1
-10
&
&
&
'()*&&+,-&.-/#$,0#/1-/&2345"$#6536&#7&3&83/$59"-&#6&3&:8,-/-&5:&$,-&;56-$59&-6-/<=>&3:&?-&
7#@61&56&A-9$)&B)C%&
""
" #$%&'& !
&
"(
!
+,-&.-/#$,0#/1-/&-5<-6:$3$-:&3/-&$,-&36<@"3/&4#4-6$@4&-5<-6:$3$-:&
&
&
!
! !! " "! !! ! " " &
361&$,-&.-/#$,0#/1-/&-6-/<5-:&3/-&
"!
!! !
! # ! " "$ &
!"
!
+,-&-6-/<=&5:&561-8-61-6$&#7&$,-&43<6-$59&D@36$@4&6@4E-/& ! >&:#&-39,&-6-/<=&"-F-"&5:&
1-<-6-/3$-&-G9-8$&$,-& !! ! ! &</#@61&:$3$->&?5$,& !" !! ! "# &8#::5E"-& ! &:$3$-:&7#/&3&<5F-6& !! )&&
2-69-& $,-& 6--1& 7#/& 1-<-6-/3$-& 8-/$@/E3$5#6& $,-#/=>& ?,59,& 4-36:& $,3$& ?-& 4@:$&
153<#63"5.-& $,-& 8-/$@/E3$5#6& 2345"$#6536& 56& -39,& 1-<-6-/3$-& :@E:839->& $,3$& 5:>& 7#/& -39,&
F3"@-&#7&!! )&
+,-&8-/$@/E3$5#6&2345"$#6536&5:&$,-&8#$-6$53"&-6-/<=&#7&56$-/39$5#6&!! ! ! " ! " ""! &E-$?--6&
$,-& 388"5-1& 43<6-$59& 75-"1& 361& $,-& 43<6-$59& 4#4-6$& #7& $,-& -"-9$/#6& 1@-& $#& 5$:& #/E5$3"&
36<@"3/& 4#4-6$@4& H?-& 5<6#/-& :856& 36<@"3/& 4#4-6$@4& ,-/-I)& & +,-& -"-9$/#6& 43<6-$59&
4#4-6$&3::#953$-1&?5$,&$,-&#/E5$3"&4#$5#6&5:&
&
&
"
"&
!#"
!! ! !
361&$,-&/-:@"$36$&8-/$@/E3$5#6&2345"$#6536&5:&
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
"
"
!""! !
$" %&
!#"
!#"
!
! " " %&
!! !
!
!
"#$! %&'()'! *'$+,$-./! 0-! 1#02! .&2$! 02! ! ! ! !"! "#! 3! ! 40&5)-&6070-5! 1#$! 8$'1,'9&10)-!
:&(061)-0&-! 02! $+,0;&6$-1! 1)! <0&5)-&6070-5! 1#$! &-5,6&'! ()($-1,(! .)(8)-$-1! !" 3!!
:$-.$=!1#$!$05$-21&1$2!)*!1#$!8$'1,'9&10)-!:&(061)-0&-!&'$!1#$! !" !$05$-21&1$2! !!" 3!!"#$!
!" !$05$-21&1$2!&'$!1#,2!1#$!>.)''$.1>!9&202!*)'!1#$!8$'1,'9&10)-!8')96$(3!!?-!1#02!9&202=!1#$!
8$'1,'9&10)-!02! <0&5)-&6!0-! 1#$! <$5$-$'&1$! 2,928&.$=! &-<! <$5$-$'&1$! 8$'1,'9&10)-!1#$)'/!
'$<,.$2! 1)! -)-<$5$-$'&1$! 1#$)'/@! 1#$! $-$'5/! .)''$.10)-2! &'$! 1#$! <0&5)-&6! $6$($-12!
! ""
! ! "" ! # ! ! "" ! # @!
!"!!" # # ""
! # "! " " # ! "! " " # !$% " ! &% !$% # $% "" ! !
!
A&.#!$-$'5/!21&1$!02!28601!0-1)!1#$!!" !! ! "# !8)22096$! !" !21&1$2!*)'!1#&1!!! !21&1$3!
!
BC3BC!!&D! !"#$!*0'21E)'<$'!.)''$.10)-!1)!1#$!$-$'5/!02!7$')!9$.&,2$!1#$!8$'1,'9&10)-!!F!02!
)<<!&-<!1#$!$-$'5/!$05$-21&1$2!&'$!$01#$'!$;$-!)'!)<<!2)!1#&1!1#$0'!2+,&'$2!&'$!$;$-3!!"#02!
02!1',$!*)'!&66!21&1$23!
!
%
%
(
! !"!"# ! "" $ # #% ! "" $ # ! "" $ # " $ & "" $ # ! & # "" $ #' " $ # " $ &# "" $ # " $ # %$ ! " & $ & # "" $ # " $ # %$ ! $ !
$%
$%
9D!!"#$!2$.)-<E)'<$'!.)''$.10)-!1)!1#$!$-$'5/!02!!
!"!"# ! $
!
$ #"
"" $ # #% ! $ " $ #
!"!$# " !$!$#
"
!
G2$!1#$!6&<<$'!)8$'&1)'2!1)!*0-<!1#$!'$+,0'$<!(&1'0H!$6$($-12@!
!!
!
#" " #
!"!
#
#
!
$
" ! %! "
! !$
# "#
# !"! '&
#
#
#
$
#
!
" ! %! " " "
" "
"
"
"
" "
"
"
!$
'& # # # " # # # " # ## " # ## " ## # " ## # " ### " ###
#
!"!
!
"#02!.)(90-&10)-!)*!6&<<$'!)8$'&1)'2!($&-2!1#&1!(&1'0H!$6$($-12!)*!1#$! ! ! !)8$'&1)'!&'$!
7$')!,-6$22!1#$!1I)!21&1$2!<0**$'!0-!"!9/! !! !)'! !! 3!!:$-.$!1#$!$-$'5/!2#0*12!&'$!
!"##"#$%
#
$
%
#&'#&%
!"#$%&$'()*+,(-.$
!!"#$ ! $
# #!
!
!'"#$ ! $
# #'
!#"#$ ! $
# ##
#
!" ! # "% ! # " ! #
!
!!"!$ " !#"!$
'" ! # "% ! # " ! #
#
!
!'"!$ " !#"!$
#
#" ! # "% ! # " ! #
!
!#"!$ " !#"!$
#
!" ! # % $ & '" ! #
$
!!"!$ " !'"!$
!!"!$ " !&"!$
#
'" ! # % $ & !" ! #
'" ! # % $ & #" ! #
$
!'"!$ " !!"!$
#" ! # % $ & &" ! #
$
!#"!$ " !'"!$
#
$
!'"!$ " !#"!$
#
#" ! # % $ & '" ! #
#
!" ! # % $ & &" ! #
'" ! # % $ & ( " ! #
#
$
!#"!$ " !&"!$
#
!
!'"!$ " !("!$
#" ! # % $ & )" ! #
#
!#"!$ " !)"!$
"#$!%$&'(%$)!*+,%(-!$.$*$/,0!+%$!
!
"
!! ! " !" ! #! ! " # ! $ "!" " $ !! ! " # &# &# & $ # &# &# $ # &## & $ # &## $ ## &# & $ ## &# $ ### & $ ### #! ! "
%
# ! $ "!" " $
%
!
"
# # # $ # $ $ # ! $ "!" " $ %
%
!! ! " !" ! %! ! " # ! $ "!" " $ !! ! " ! ### " %! ! " # ! $ "!" " $
%
%
!
!
"
# ! " #! " ! # ## $ ## # $ ### " $! "
#! ! " !" ! !! ! " # ! $ "!" " $ #! ! " # &## & $ ## &# & !! ! " # ! $ "!" " $
%
#! ! " !" ! $! ! "
!
$ ""
%
$
# ! $ "!" " $
%
!
!
&
&
%
!
!
!
"
# ! $ "!" "
%
$
!
!
"
"
%
"
"
%
"
%
$ $ % $ % % % $ % ( ( # ! $ "!" " $ ) %
$! ! " !" ! *! ! " # ! $ "!" " $ $! ! " ! ### " *! ! " # ! $ "!" " $
%
!
!
%
$ # # $ $ $ $ $ % % $ # ! $ "!" " $ ' $
$! ! " !" ! %! ! " # ! $ "!" " $ $! ! " # &## $ ## &# $ ### & %! ! "
%
"
# # # $ $ $ # # ! $ "!" " $ %
$ % ( # ! $ "!" " $ $ '
$! ! " !" ! #! ! " # ! $ "!" " $! ! " # &# &# $ # &## & $ ## &# & #! ! "
# ! $ "!" "
!
# # $ $ $ $ $ $ $ % % # ! $ "!" " $ ' $
%
%
$
%
%
!
&
#! ! " !" ! ( ! ! " # ! $ "!" " $ #! ! " ! ### " ( ! ! " # ! $ "!" " $
%
$
"
# $ % # ! $ "!" " $ '
%
!
%
"
% ( * # ! $ "!" " $ $ #*
%
"#$!$/$%12!0#(3,0!+%$!
&
' '
%$
% $ #(( '
! ! # " # "!" # &
!!"#$ ! ! # " # "!" # &
$
)
% #!" #%!" (
% !" )(
!
&
)#
#* '
%$
% $ #)( '
! ! # " # "!" # &
!("#$ ! ! # " # "!" # &
!
$
$
)
% $!" #!" #%!" (
% !" )(
#*%
'! '
% $ )#
% $ #(&( '
! ! # " # "!" # &
!#"#$ ! ! # " # "!" # &
$
$
)
% $!" #!" #%!" (
% !" )(
!
!
!"##"#$%
%
#&'##%
!"#$%&$'()*+,(-.$
!"##$%&#'()*+,-).&)#!-))&!+(-/*#+-#+%&#&(0&/*+1+&*#1)&#
!!!" # " "!# !! " " #
#
# !!
2%&)&#+%&#&341/*(-/#!-&''(!(&/+*#1)&#+%&#*15&#51+)(3#&6&5&/+*#')-5#17-8&#9/-+&#+%1+#+%&:#
1)&#166#)&16"#
# " ! # $ ! "" ! #
!"# !
#
#
%""!# " %#"!#
$%;*#
!
!""
"! ! " ! ! !! ! "
#
"
#!$
!
""
#!$
"
# # ! & #!$ "
!""
"
#
""#!$ " "!#!$
# # ! & #!$ "
&
#
"
#!$
&
""
#!$
"
%
&
$
!
!!"
$
! !"$ "! $% !!!"
"! ! " ! ! &! ! "
# # ! & #!$ "
!
%
&
"
! !"$ "! "% "!!"
!! ! " ! ! "! ! "
#
!""
%
&
!!"
!!"
"
! !"$ "! $(
$
%! ! " ! ! !! ! "
"
#!$
!
"
""
#!$
%
%! ! "
&
%
%! ! "
"
&! ! " ! ! "! ! "
""#!$ " "&#!$
&
!!"
" ( & &! ! " " &
%! ! " ! ! &! ! "
"
#!$
&
""
#!$
%
!!"
%
' ! ! " ! ! "! ! "
$
&
%
$
& "! ! " " * % %! ! " " &
""#!$ " "'#!$
)! ! " ! ! &! ! "
)
%
#
"
' !!"
#!$
&
""
)! ! "
"
"
' !!"
#!$
)
)! ! "
#
<=><<##$%&#'()*+,-).&)#&/&)0:#!-))&!+(-/#(*?#
!"!"# ! "" $ # #% ! "" $ # ! "" $ # " $ & "" $ # #
#
@*&#+%&#61..&)#-4&)1+-)*#+-#51A&#-;)#6('&#&1*:?#
!!
!
#" " #
!"!
#
$
!
#
!
%# # # #
" ! %
!# ! $
#" " #
# !"! '&
" ! %
! !$
# !"! '&
#
$
#
" " " "
" # "# "## " " # "## "# " " # "### " " ## "# "# " " ## "## " " ### "# " " #### " "
!!!!!!!!!!!!!!!!!!!!!!!"# "# "# "# " # "# "## " # "## "# " # "### " ## "# "# " ## "## " ### "# " ####
!
#
&
B%&/#2&#+1A&#.(10-/16#51+)(3#&6&5&/+*C#+%&#-/6:#+&)5*#+%1+#*;)8(8&#1)&#+%-*&#+%1+#%18&#
+2-#)1(*(/0#1/.#+2-#6-2&)(/0#-4&)1+-)*>#$%;*#2&#1)&#6&'+#2(+%#
!"##"#$%
%
#&'#$%
!"#$%&$'()*+,(-.$
!
!!"
!" !
"
!!"
# ! &
# !%
$ ##" ('
#
!
"
!! ! " $ $$$$ $ $ $$ $$$ $ $ $$$ $$ $ $ $ $$ $$$ $ $ $$$ $$ $ $$ $$ $$ !! ! "
#
#
# ! & *
# !%
! ! ! $ %" $ ! ! $ %" $ ! ! $ %" ! ! $ # " $ ! ! ! ) %" $ ! # $ ! ! ! $ %" ,$ ##" (' +
#
#
# ! &
# ! &
# !%
&! # $ &! $ ' # '! %
#! # $ #! $ %
$ ##" ('
$ ##" ('
!
!
!
"
!
"
"#$%#!
%
# ! &
!"!"# ! $! %
%" % " %" " " !
$ %#" ('
!
!
#
$
!
&'(&)!*+#!,-./012.3#.!4#.05.6#3!#$#.78!-$!0+#!90:.;!#,,#%0!#<:=4>#!-/!
!!!!" # !""! " " " ! !""! " " # !""! " " #E$ !""! " " # #E !""! " " $ !""! " "
!
!""
# #E % $ " !""
! %## # $ " &'
$
!
?2@!32!0+#!-$0#7.:>A!
!""
!!!!" # "E $ # ! !""
! $#" # # " %& !
$
!
*+#!@:B#!,5$%0-2$!-/!
! "## $"%" %# & '
!
"
"
! "
$ ##
!
()
$
% " * ##
!
*+#!-$0#7.:>!-/!
!
"
%
!
"
%
!"
!"
%$" $# &' # #E $ % &'(" ! "##
%$" $# % % ()* " &" &# &%
""! " # #E $ $ ! "##
"
!
!
#
#
#
" " ' %% % &%% , (# +
#
% &'(" ()* " &" & # &%
% (#+ $# $# $#
#
%%
" " ( ' + &%% , (# * ( %
%#
&% $ &'(" ()* " &" * ( $ & # *
+ ) $#
+) #
+) #
+
% (#
$
!
%
*+#!42>:.!:$7>#!-$0#7.:>!-/!0+#!2$#!0+:0!=:;#/!0+#!#$#.78!%2..#%0-2$!C#.2A!
!
#
!
"
'
"#$! $%& ! "! !
"
(
(
$$%& ) ! & ! $%' ( ' &' ! ' !
%
'
'
)
)
!
!
!
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#!$%%&'(%)*+,-).%/*0(+.)-1%/*%23#%4!"#!567%).(%
"
!! ! # "#$ % ! $&' ! "!
(
%
%"
! % ! # "$
%
(
&'(%.(1,-01%).(%
%
"
!! ! # "#$ % ! $&' ! "! ! $ !) %& "#$ ) ! '( ( ! $ !) " $! $ !# ! %) %
"
(
)*8%
!"
! ! ! # "! ! "! #" ! !" %
%
!"
"
%
!"#!5%%9/*8%0'(%(/+(*10)0(1:%
! ! " ! " "! " ! %
%
;0%/1%1,<</=/(*0%0>%?>.@%/*%0'(%.(8,=(8%1A)=(%><%0'(%0?>%=>,A-(8%10)0(1% !"" %)*8% !"# :%
"
!
$
$# !"!E"!
!"!E"! % " " %
" " %
! ""!E"! $
'$
'
'& # # &
!
# # '&
!"!E"!# ! ""!E"! "
#" ! !"
%
!
%
B1/*+%0'(%*>.C)-/D)0/>*%.(3,/.(C(*0%E/(-81%
!! !
%
! # ! &
" %$ "! ('
! # ! &
!" !
" %$ ! ('
!
%
>.%
%
!! "
!
"
#$ "## " "!# %&
!" "
!
"
#$ "## ! "!# %&
%
%
%
%
%
%
%
%
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#!$%%&'(%)*+*(% ! " %,)%
!" !
%
!
"
# "##
" "!# $ %
&'(%(-.(/*+*,01%2+34(%05%*'(%6,.03(%707(1*% ! ! !!" %,)%
%
! " ! ! " ! ! " " !" ! " ! "!
!
"
# "## "
"!# $ "
!
"
# "##
" "!#
$
! "! !" # "## " "## " "## " "!# " "!# " "## " "!# " "!#
$
%
&'(% 5,8)*% +16% 3+)*% *(87)% +8(% 9(80% :;% );77(*8;% +16% *'(% 0*'(8% *<0% *(87)% +8(% /07.3(-%
/01=4>+*()%05%(+/'%0*'(8#%%?(1/(%<(%1((6%*0%5,16%
"
#
" " #$
""#
!"" ! !#" ! $ ! !""
" !%" % # #! "&" $ #&# $ $$& !! !#"
" !%" % # # ! ! '() " %!%" %#
" !&" #
$
%
"
!
#
+%
!
!
*!
#
*&" " !&" #
*
+%
*!
$
-
"
'
! * &! &" & & & !
'
! )# &
" " $ ## $ $$ ! %!
!&" ,+
(
"
#
!%
,-'" '() " %" $ %#
#
#.% &"+
"
-
!%
%
"
"
"
$ $ $
'
! * &! &"
'
!+ )# &
'() " ,-' # &" $ '() " '() # &# $ ,-'" $& ,-'" '() " %" %# %!
!&" ,+
(
"
#
%
%"
%"
&'(%+9,74*'+3%,1*(>8+3)% # !"# ! !! %+16% # !"# ! !! %+8(%:0*'%9(80#%%&'(%8(7+,1,1>%.03+8%
$
$
,1*(>8+3%>,2()%@ABC%;,(36,1>%
!"" ! !#" !
%
)
#
"$ !
" & "" !"
#
!! * " & % # "
$"
&
"
#%! !" '
!!" ('
$
"$ + ) & "" !"
#
" #
$" "
& - *"
#!!" ,
!!"
! "'! "$
!
*
)
"
.
.
"$ +
#
" ( #"" !" $" 0 !
&)!"( "
()!"% 0 %
& !!"
/ #!!" ,
/
"
&'(%(-.(/*+*,01%2+34(%05%*'(%6,.03(%707(1*%,)%
! " ! ! " ! "! !" # "## " "!# " "!# " "##
%
#
! "! !" "$"# #% " "$"# #%
$
$
%
! $!"# #%
<',/'%7(+1)%,*%,)%+3,>1(6%<,*'%*'(%+..3,(6%(3(/*8,/%5,(36C%+)%(-.(/*(6%D)((%E,>#%F#GH:IJ#%
%
%
%
%
%
%
%
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#!$#%%&'(%)(*+,-.+/-(/%*+//(*01+,%1)2%
!"!"# ! $
"
!
$ #"
! "&$ #
%
"$#
"
!$#
"
$
$ #"
"
#% ! $ " $ #
"!
!$
!$#
$
! "&$ #
!
( "
% "" $ #& !%#!&$ !% $" $ # !%#'%
" (
"' %
$' %
'()
'()
'%
&
(
"
(
(
(
' "!"
"" " $ "
")("
"
"
!"!$# " !$!$#
$ #"
"
%
#
( '()
"
&
(
" " # # " ( '() " " # #
""$ '
"
"$$ '
"
"
"' !" " $#
"' !" $ $#
")(" *
$
' " ! " (" $ #"
"" " $ "
"
#
3+/%0'(%4/+5,-%)060(%7(%4(0%
$ '()
!!"#$ ! ""% #
! ""% #
! ""% #
%
#
#
#
!"% !
#
!$% !
#
#
#! "! " %$
#! "! $ %$
##$# &
$
! # ! # $# % #!
!" %#
"
#
*+' " %!# # *+' " %!# #
"
"! " %$
"! $ %$
##$# & $#
$
! # ! # $# &! # % #!
#
! " ""% #
"
#
#
##$#
*+' " %!# #
& # $
! ! % #!
"
#
"! " % #
##$# & $#
$ *+' " %!# #
! # ! # $# &! # % #!
! " ""% #
!
" " # # " $ '() " " # #
#
#
"%
# "
#
&% #
#
#%
#
"% " !$
!" %#
#
"!
,
#
%
#
! " ""% #
#
##$#
!- & #
$
! & ! # & !! & & # " !
"
#
,
#$# ! #
!!!!!!!!/!0+1'231()1456781+9145:;835:(*5
! & !# .
%
!"#!8%%&'(%91/)0.+/-(/%(,(/4:%*+//(*01+,%0+%0'(%!0'%)060(%1)2%%
%
!"!"# ! "" $ # # ! "" $ # %
;10'% ! ! ! " " %6,- ! !!"# ! $ " %&' " !"# " # <%7(%91,-%9+/%0'(%4/+5,-%)060(%
!"##"#$%
%
#&'#!%
!"#$%&$'()*+,(-.$
!!"!# ! #
"
(
$
$"
%&' " !#" # " # %&' " !#" # $# !
"
"
#
"
(
# %&' $ " !#" # $#
*+% " $!#
$ " % # $ # %&' " $!#
" #
" #(
!
$
' $
*
" &)
)"! "# ,"! "#$ ) (
"
!
$ " % "$ " %&' " $! # *+% " $! # + *+% " $! # . (
!
$
$ $
' $
*
" &)
)"! "#
,"! "#$ -, ,"! "#$ 0/ )
!
!
"$ + "$ . ( " "
$ " % "$
' $ $ $-$ $ 0* !
" & ) ,!
, ,! / ) $
!
"#$"%!!&'!!()*!+,-./01-2*-!*3*-45!61--*6/,13!/1!/)*!!/)!./&/*!,.7!!
!"!"# ! "" $ # # ! "" $ # !
!
8,/)! ! ! ! "#!" " $ # " " # !&32 ! !!"# ! $ " %&' " !"# " # 9!:*!+,32!!
!"!"# ! *
!
#
(
$ $ " "!$ %
#%
"
" "! %
#%(( $ $ ) ' &$ ! $%( %&' $ $ ' !
%&' $
'
# # &
#
# $&
#
$&
;1-!122!<&=>*.!1+!!9!/)*!61--*6/,13!,.!?"#9!:),=*!+1-!*<*3!<&=>*.!1+!!9!,/!,.!@*-17!
!# $#% !!!&!"!$%%
!"!"# ! "
!
#$ %!!!!!!&!"!&'&"
!
A'!! ()*!:&<*!+>36/,13!+1-!&!./&/*! :,/)! &3!*<*3!<&=>*!1+!!!,.!@*-1!&/!/)*!=16&/,13!1+! /)*!
2*=/&! +>36/,139! .1! ,/! 21*.! 31/! B.&CD=*B! /)*! D*-/>-A&/,139! &32! /)*! *3*-45! ,.! /)*-*+1-*!
>3&++*6/*2$!!E1/! .1! +1-!./&/*.!:,/)!122!<&=>*.! 1+!!9!:)*-*! /)*! *3*-45! =*<*=.!&-*! ,32**2!
.),+/*2$!!
6'!!()*!3*:!:&<*+>36/,139!61--*6/!/1!+,-./!1-2*-!,.7!
""#
! !!
!
$$
! #!
! " " # " ! !" " #
#"$
!
#
"#
#"$
!
! ""# !
()*!C&/-,F!*=*C*3/!,3!/)*!3>C*-&/1-!,3!/)*!.>C!,.7!
! ! ! " " ! "! ! " # +
#
!
!
# # !"$ & # "$ &
#&
#
# !" & # " &
$%& % ( #%!) % $ * ( &$ # #%! $%& % ( $%& % (
$%& %
(
$
$ # ' $ #'
# $ # ' $ #'
#'
# !" &
# #%! $%& % (
$ #'
!
8*!.**!/)&/!+1-!#!*<*39!/)*-*!,.!31!613/-,A>/,13!G!/)*!./&/*.!:,/)!*<*3!=&A*=.!21!31/!C,F$!!
;1-! #! 1229! &==! /*-C.! )&<*! /)*! .&C*! 3>C*-&/1-! HC12>=1! &! .,43'9! A>/! /)*! 2*31C,3&/1-!
A*61C*.! D-14-*..,<*=5! =&-4*-! &.!#!,36-*&.*.9! A*6&>.*! /)*!*3*-45!2,++*-*36*! A*/:**3!/)*!
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#$%&' ()*)+' *%&' ),+' ()*)+' -%' .$+()-#%' -%/"+*(+(0' ' 1,$(' ),+' 2*"!+()' /#%)"-3$)-#%' /#4+('
5"#4'),+'!'6'7'()*)+8'*%&'-)'-('
!!""#$%
'
" &! %
'#( )*+ $ '
# '&
! !!& !
!
,($! ( $&,(-
('#(
!'!'
"! ( . # ' '
'%&
# %&'
!"!# ) ( ' ' &" ( #
'! !
!
!""
! !!
!
'
!" "## ! " "
# # # $ '
#" !
&9'':#"'),-('(.$*"+'3$4;'),+'5-"()<#"&+"';+")$"3*)-#%'-('
' '($ # ' '(
' '($ # ' '( &
%
%
)
" "& !$# $ " " !$#&$ ! %
""& !$# $ "" !$# + &$
!"!"# ! "" $ # #% ! "" $ # ! %
(
' '($ # ' '(
'
'($
#
'
'(
#
#
'
*
!
%$
#
%
' '($ # ' '(
' '($ # ' '(
%$ ( ' '($ # ' '( - " &
& ( ( - ,$0 )
- (, $ 0 )0
&$
)*+
!
" $ ,-) /
&$
/. 21 +
('
(
%
/
'
'($
#
'
'(
. ' 21 +*21
# '
' *
.('
'
' '($ # ' '(
'
% & - ' 0 - (, $ 0 )
! $ ( $ $ / 2 )*+ /
2
# ' ' . (, 1 . ' 1 +* ' '($ # ' '(
' - ' 0 - (, - '
'00 - '
' 0 - ' 0 - (, - '
'00 )
% &'
! $ ( $ # $ / 2 )*+ /
$ # 2 2 $ / $ # 2 $ / 2 )*+ /
$ # 22 +
/
/
#' ' (
( . (, 1 . ' . (
( 11 . (
( 1 . (, 1 . ' . (
( 11 *
% &
)
- '0
- '0
! $ (# ' $ / 2 )*+ ", $ #, # $ / 2 )*+ ", $ #, # +
. (, 1
. (, 1
#' '
*
!
'
%$ &
)
- '0
- '0
# ' $ / 2 )*+ " #, # $ / 2 )*+ " #, # +
(
. (, 1
. (, 1
#' '
*
# %&' # !" $ &
!!"!# ! "$ %! "
'
!" ('
$
'
+9''=%'),+'2-4-)'#5'(4*22'!8'>+'!+)'
'
! '
$
!!"!# ! "$ &! ! "# ) " %"$ '
% "# (
'
!!"!# ! $"% '
?$()'*('>+'!#)'-%';*")'@*90''1,-('-(')#'3+'+A;+/)+&'3+/*$(+'-%'),+'2-4-)'#5'!'<B'C8'),+'(.$*"+'
3$4;'2##D('2-D+'*'&+2)*'5$%/)-#%8'*%&'>+'*""*%!+&'-)(';*"*4+)+"('*)'),+'3+!-%%-%!'(#'),*)'
),+'*"+*'#5'),+'3$4;' !!!! ! " ! " # "!! " '-('),+'(*4+'*('),+'*"+*'#5'),+'&+2)*'5$%/)-#%0!
'
'
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#!$%%&'%%()*%+,-./01-2*-%*3*-45%61--*6/,13%/1%/)*%!/)%./&/*%,.7%%
!"!"# ! "" $ # # ! "" $ # %
%
8,/)% ! ! ! "! "#$ "" # $ # %&32 ! !!"# ! $ " %&' " !"# " # 9%:*%+,32%%
!"!"# ! "
$ $ "!$
$%
%&' " # #%( %&' " !$# # &$ ! (
#
#
#
(
#
"
(
!$
%&' $ " "!$
# # %&' " # # &$
$%
! (
#
!$
!$
$ #)*% $ !#$ % #)*% $% !$"#"#
&' #)*% $% !$"&"#
&' &
#
#
#
&
(#
)
$!
+!$" # "#!
+ " $" & "# ! )'
(%
(
$%
! (
#
$ $# #)*% $ !$" # "#! % # # #)*% %$" $" & "# ! &' # # &
#
&
(
)
+!$" # "#!
+ " $" & "# !
% $!
'
#
%
%
$$
&
," $
"
"
! %( ( &
#
) ! %(
! !+" $ # "#
% ! !$" # "#! " $" & "# ! '
%
!"#;"%%()*%+,-./01-2*-%*3*-45%61--*6/,13%/1%/)*%!/)%./&/*%,.7%%
!"!"# ! "" $ # # ! "" $ # %
%
8,/)% ! ! ! " " " # # " # %&32 ! !!"# ! $ " %&' " !"# " # 9%:*%+,32%%
!"!"# ! $
#
(
$ $ "!$
$"
%&' " # # " $ " # # $ # %$ !
#
#
$
#
(
"
#
$
%&' $ " "!$
%$
# # $# # $
"
#
% # ##$ )*% $ $"#! $ % & $"! $ " "! $ # #%&' $ $"#! $ %# $ , (
'
# *
$ $
$" '
+"
!
-* %
!
*
# ' #$ $ )*% $ $"! $ % # ##$ & $" $! $ $ $ %&' $ $"#! $ %
#
'&
*
&
'&
*) (
." $! $
+" ,! ,
%
"
$"
!
#
#
#
% # " $"! # " "! # ## #,
#, (
" (
%"
# & $ $ * ! #$" ' & $ $ *
'
$ $
+" !
- ." ! )
& - $" ! )
&
%
!"#;!%%&'%%()*%+,-./01-2*-%61--*6/,13%/1%/)*%*3*-45%,.%<*-1%=*6&>.*%/)*%?*-/>-=&/,13%"%,.%122%
&32%/)*%*3*-45%*,4*3./&/*.%&-*%*,/)*-%*@*3%1-%122%.1%/)&/%/)*,-%.A>&-*.%&-*%*@*3#%%(),.%,.%
/->*%+1-%&BB%./&/*.#%
!
%
!"#
"
! "
"$#
#! "
"$#
! "
"$#
" $E% "
"$#
$
! "$E % # "% " % #!%!# " " % # &%
"$
$
%
! "$E % % # " " % # &% ! $
&
"$
()*%.*613201-2*-%61--*6/,13%,.%
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"!"# ! $
!
"
"" $ # # ! $ " $ #
$ #"
!
!$#
"
"!
! %"E " $
!$#
$
"" $ # & $ " $ #
$ #"
!"!$# " !$!$#
"
!
"#$!%&''$(!)*$(&+)(#!+)!,&%,-%&+$!+.$!/&+(01!$%$/$2+#!
!!
!
!
!
!! ! " " # ! ! " # ! " # #
#
"!
#
!
" $!
!
" $!
!
##
!
! "!
"
$
"# !
"
! %# $ % # #
# $$ # $$ $ !
!
3-+!+.0#!4&,5!02+)!+.$!$2$(67!,)(($,+0)2!+)!6$+!
!
" $!
"# ! % # # $ ! % # $%
# # & $ $% #
!
" $!
" # $ $' !%# $$ $ #' !%# &$ $
#
%
"
!
!
!"#
"
$ % " $" "%% "$ " %" "%% #$ &
$ % " $" "%% "$ " %" "%% #$ &
!
#"E "
%
'
%
'
!# E
!
)
)
"
$
$
"$! % ("
"#%
"$! % (" # " " " $ !! # # % " " $ !!
"
"
"
"
#E $
" " $ & #"E "
!
"
$ " # # " " $$ &'
*
+!
"$! " % " # # " # $$ " # # " " $$ ' "$! " %
"
!
!
!
"
#"E "
!
"$" "
!"!"# ! !
!
8.$!2$9!$2$(67!%$:$%#!+)!#$,)2'!)('$(!&($!+.-#!
# #%E % &
!" ! !"!"# " !"!$# " !"!%# ! # " " $% $ !! " " " % "
!
%(
%$
!
$
'
!
!
#"E "
!" ! # " " !" $ !! "
!
"$! "
!
4;!!<)9!#)%:$!+.$!*()4%$/!$1&,+%7!47!,)/*%$+026!+.$!#=-&($!02!+.$!>&/0%+)20&2?!
!
!
"" #
! ! !! " ! ! !
" " #" " $ " # %E$
"#
"
"
"
$ " "%E
"
$ %E ' ' #
"
" $ %E '
#
" " #" & $ #
$"&
!
# #" &
% #" " )( )( "
% #" " )(
"#
#" "
%
!
"
"
%E '
%E
$
" #" #" " & $ #
#
")
%
"#
"#" "
#" (
"
"" #
%"E "
" "
!
" " #" & #
"#
"#" "
"
!
"
$ %&'('))& * $ #
%E
#" "
8.0#! >&/0%+)20&2! ($*($#$2+#! &! #7#+$/! 90+.! +.$! *)#0+0)2! #.0@+$'! &2'! +.$! $2$(67! %$:$%#!
#.0@+$'A! 4)+.! 47! ,)2#+&2+#B! ! 8.$! $2$(67! #*$,+(-/! 0#! +.-#! #+0%%! &! .&(/)20,! )#,0%%&+)(!
#*$,+(-/!4-+!#.0@+$'!47!+.$!$2$(67!#.0@+!02!+.$!>&/0%+)20&2?!
!"##"#$%
%
#&'$&%
!"#$%&$'()*+,(-.$
#"E "
!
!" ! # " " $ !! "
!"!
"$! "
!
#$%&$!%'!()*&+,-!+$(!'*.(!*'!+$(!/(0+102*+%34!0('1,+!*235(6!!7$1'!#(!843#!+$*+!*,,!3+$(0!
309(0'!%4!/(0+102*+%34!+$(30-!#%,,!-%(,9!:(03!;30!*+!,(*'+!*,,!'1.!+3!:(03<6!
!
=>6??!!7$(!!!@!A!'+*+(!3B!+$(!$-903C(4!*+3.!%'!4%4(B3,9!9(C(4(0*+("!#%+$!34(!A"!'+*+(!*49!
+$0((!A#!'+*+('!*49!B%5(!A$!'+*+('6!!D(C(4(0*+(!/(0+102*+%34!+$(30-!+(,,'!1'!+3!$%&'(!&)%*+,
-.+,#+/-0/1&-%(!,2&3%)-(!%&!,%!,-.+,$+'+!+/&-+,"01"#&4+6!!73!93!+$%'"!#(!4((9!+3!B%49!+$(!
.*+0%)! 0(/0('(4+%4C! +$(! E+*08! (BB(&+! /(0+102*+%34! #%+$%4! +$(! '12'/*&(! 3B! +$(! 4%42(!
9(C(4(0*+(!'+*+('6!!7$(!4%4(!!!@!A!'+*+('!3B!$-903C(4!*0(!C%5(4!%4!7*2,(!F6?6!!7$(0(!*0(!F=!
.*+0%)!(,(.(4+'G!
!
"
!
!
!!! ! " " " ! !!!!!! " " !
#%+$!+$(!/(0+102*+%34!2(%4C! ! ! ! "E# ! "E $ !"#" 6!!7$(!H*.%,+34%*4!B30!+$(!/(0+102*+%34!
$*'!399!/*0%+-"!'3!+$(!.*+0%)!(,(.(4+'!2(+#((4!'+*+('!3B!+$(!'*.(!/*0%+-!C%5(!*4!%4+(C0*49!
+$*+! %'! 399! *49! $(4&(! *! :(03! %4+(C0*,6! ! 7$(! 34,-! 434I:(03! .*+0%)! (,(.(4+'! *0(! +$3'(!
2(+#((4!'+*+('!3B!9%BB(0(4+!/*0%+-"!#$%&$!*0(!+$(!"!*49!#!'+*+('!30!+$(!#!*49!$!'+*+('6!!J(!
&*4!0(91&(!310!+*'8!(5(4!B10+$(0!2-!&34'%9(0%4C!+$(! ! !/*0+!3B!+$(!%4+(C0*,'!B30!+$('(!&*'('6!!
7$(0(!%'!43! ! !9(/(49(4&(!%4!+$(!/(0+102*+%34!H*.%,+34%*4"!'3!+$(!.*+0%)!(,(.(4+'!$*5(!
*:%.1+$*,!%4+(C0*,'!
%
!
"$
!
"$
!!"#" !"# #" $" ! % !"" # # !# #" $" !
!
7$%'!%4+(C0*,!%'!:(03!14,(''!+$(!.*C4(+%&!K1*4+1.!41.2(0'!3!*49! !! !*0(!+$(!'*.("!#$%&$!
34,-!$*//(4'!B30!+$(!.*+0%)!(,(.(4+'!2(+#((4!+$(!A"!*49!A#>!'+*+('"!+$(!A#>!*49!A$>!'+*+('"!
+$(!A#=!*49!A$=!'+*+('"!*49!+$(!A#I=!*49!A$I=!'+*+('6!!7$(!,*'+!+#3!*0(!+$(!'*.("!'3!#(!4((9!
93!34,-!A!%4+(C0*,'G!
!""! " " ! ! !#"! " " !$! !#"! " " ! ! !%"! " " !$! !#$ ##! " " ! ! !%$ ##! " " !
!
7$(!B%0'+!.*+0%)!(,(.(4+!%'!
! " "$
!""
!""! " " ! ! !#"! " " # % " !""
! "%# % $ " #E" &'(# !" !#"
! "%# % $ " " ) (*+ # $"$# $$
# #E
%
&
"
) )
#
& ! !%" "
!)
! !& ! !%" "
!)
%
.
"
(
)"
)" ) + " (
" + ')" !%" !
#
#
'
$
#'
" $"
)*)
*
!%" ),%" , %" )
-%" -,
)&
&'( ) # (*+ # $# % $$
"
!
7$(! ! !*49! ! !*4C1,*0!%4+(C0*,'!*0(!'+0*%C$+B30#*09!*49!C%5(!?LA!*49!?!"!*'!%4!+$(!!!@!?!
&*'(6!!D3%4C!+$(!0*9%*,!%4+(C0*,!C%5('!
!"##"#$%
%
#&'$#%
!"#$%&$'()*+,(-.$
!""! " " ! ! !#"! " " # "E
!
# "E
#
$ % )#
$ & "%$ !#" )
%$
%$ % & #
#"
"
#
"
$
$ %$
%
*
%
(
%
(#" ('
!#" %'#" ' $
&#" ! " $
#
$ % + %#$' * .
"
#" 0 # ""E#" ! (
$
&#" ! -,
/
! !#" "!
! !#" "!
!
"#$!%$&'()!*+,-./!$0$*$(,!.%!
! # "%
!#"
!"#! # " ! ! !$#! # " # % " !"#
! "&# & $ " #E" '()# !" !$#
! "&# & $ " " $ )*+ # $"$# $$
# #E
%
&
#
"
$ $
! !& ! !%# "
!$
$, $& ! !%# "
!
"
!$
%
" (
" + " $ '$" !%# !
"
'
#
" $" !
%# *) -%# -, %#$
.
#
$&
'() $ # )*+ # !'() $ # ' " $# % $$
#
"#$! ! !.(,$1-+0!+1+.(!1.2$%!3!4!!"#$! ! !.(,$1-+0!.%!
$
#
)
!
"
!
#
"
!"# $ ! #%& ! '!"# $ ! " ( !! # $ #%& ! '!"# * ! " !"# $ ! !!
)
#
# %& " +' !"# + ! $ (' !"# ' ! '( ) # +' " (' $ +' " (' # (+,
!
5'.(1!,#$!-+).+0!.(,$1-+0!1.2$%!,#$!-$%60,!
!"#! # " ! ! !$#! # " # "E
!
$
%"" ! ! !## "
!
*$
%
$ ' #$$ !## '
$
"
"
#
+# &% '## )( " $ %$
##! "&
"' , $)&$*& ( /
$
# "E
#
## 1 # #"E## ! !
( '
!$
! ! !" ## "& .0
!
"#$!,#.-)!*+,-./!$0$*$(,!.%!
" $ #&
"$#
!"# !"" $ # ! ! !%# !"" $ # $ % " !"#!"
" "## # $ # #E" '()# !" !%#!"
" "## # $ # " % )*+ # $"$# $$
$ #E
%
!
&
$
! !
!%
! !& " !%$ #
!%
%, & " !%$ #
!%
%
.
$
" (
" + " % '%" !%$ !
"
'
#
" $" !
%$ *)
-%$ -, %$%
%&
'() % # )*+ ! # $# % $$
$
"#$! ! !.(,$1-+0!+1+.(!1.2$%!3!4!!"#$! ! !.(,$1-+0!.%!
#
"
(
"
"
#
"
"
#
!"# $ ! #%& ' ! !! ! # #%& ! !"# $ ! ) $ !"# $ ! !! ! # #%& ! !"# $ ! $ !"# * ! !!
(
(
"
! %& $ )' !"# ' ! $ )+ !"# + ! '( ( ! )' $ )+ $ )' $ )+ ! )+*
!
5'.(1!,#$!-+).+0!.(,$1-+0!1.2$%!,#$!-$%60,!
!"##"#$%
%
#&'$$%
!"#$%&$'()*+,(-.$
!"# !"" $ # ! ! !%# !"" $ # $ "E
!
%
&"" " !#$ #
!
*$
'
$ ' #%$ !#$ )
"
%" + & " #
$ %$
$ %
)#$ )(
# "(
!
$
*
") " , %*(%'( + /
$ "E & ) . #
#$ 1 $ #"E#$
%
! #$ ( !%
0
!
"#$!%$&'(&)*'+,-!.*'&+/!'#(0!
# !
!
! ! &
! " # ! ! !
( "!!
%
!
!
! ! $ %
!
! ! (
% !
"&&
(
%
"
#
!
!
!
!
!
"
"
!
!
( "&!
%
!
!
! ! !
!
$ % ! ( "&' "&
% !
(
%
!
!
!
! ! !
!
! ! ( "%% !
! ! ! ""#! E % !
!
! ! !
!
! ! ( "%&
$ %
% !
(
%
! " " ! ! !
!
! ! ( "%!
% !
"%' "&
% !
!
!
$ % ! !
!
! ! (
( "%' "%
%
!
!
! ! !
!
! ! '
$ !
!
",! 1+*2,-*3+4$! '#+05! +'! +0! (0$6(3! ',! &$3*)$3! '#$! &,70! *-1! 8,3(.-0! ',! %3*8$! '#$! -,-4$&,!
$3$.$-'0!83,0$!',!'#$!1+*2,-*39!
# !
" #
!
!
!
!
! ! ! &
( "!!
%
!
" " !
!
!
! ! ! (
% " #
( "&!
%
!
!
!
!
!
!
!
!
"
"
( "%!
%
% !
!
!
! $ % !
! ! ! ( "&&
(
%
!
!
! ! ! ( "%& !
! ! ! ""#! E % !
!
!
$ % !
% !
!
!
!
!
! $ % ! ! ( "&' "&
(
%
!
!
!
! $ % ! ! ! ( "%' "&
% !
"%%
% !
!
!
!
!
!
! ! ! ((
%
"%' "%
!
!
!
!
!
! ! ! '
$ !
!
"#+0!.*'&+/!+0!)3,8:;1+*2,-*35!0,!7$!1+*2,-*3+4$!$*8#!)3,8:!+-1$%$-1$-'3<=!!>+&0'!'#$!?/?!
)3,8:9!
!"##"#$%
%
#&'$(%
!"#$%&$'()*+,(-.$
!
!"
!! "!"# E
! "!"# E
!"
#
! !!"# E
"
"
! !!"# E ! #
!"
# #$ !
$
! " " $ ! ! !!"# E
"
#
#
"
#
"!"# E ! " ! "!"# E ! #
!
! " " $ ! " %!"# E # ! #!!!#!!!#&"&# ! #!'!#$"&# ! %!"# E !'!#!"&# ! !%!"# E
$
"#$%!&#$!&'(!$)*+,-.$%&!/0/!1.(2345!
!
!"
!!"" E #
!!"" E #
!"
! "!!!#!!! " # ! " !!"" E # # ! "
#
!
#$"%# ! #&"%# ! !!"" E #!'!#("%# ! #)"%# ! !!!"" E #
"#$!.-4&!&'(!'$!(1&-+%!16!+%47$2&+(%5!
!!!"" # !#!"" # $ !
!
"#$!$+8$%,$2&(94!-9$!
! !
!
"
"##" # # !
!
$
"!#" # # $
!
%
"$#" # #
$ !
!
"
"##" # # $
!
$
"!#" # # $
!
%
"$#" # #
" !!
!
!
"
"##" # # $
$
"
"$#" # #
& !
!
$
"!!" # # $
!
$
"$!" # #
' !
!
$
"!!" # # !
!
$
"$!" # #
% !
!
$
"!( !!" # # $
!
$
"$( !!" # #
) !
!
$
"!( !!" # # !
!
$
"$( !!" # #
!
* ! "$$" # #
+ ! "$( !$" # #
"#$!$%$986!.$,$.!47.+&&+%8!-77$-94!-4!4#('%5!
!"##"#$%
%
#&'$(%
!"#$%&$'()*+,(-.$
DE
H1L
E2 = 9eE a0
E4,5 = 9eE a0 ê2
H1L
H1L
E1,8,9 = 0
E6,7 = -9eE a0 ê2
H1L
H1L
E3 = -9eE a0
E
!
!
"#$!%&'()$!*(*$+,!&-! ! ! !!" .!!"#$!'$/,0/12,&(+!&-! !! ! ! "!"" ! ""# $# 3!-(!4$!52+!6$,!
,#$!%&'()$!*(*$+,!7/(*!,#$!$+$/68!-#&7,9!
!
!" ! ! !" ! ! "
!
$ "!#
! ## ! ! "
!
E
E
"#0-!4$!6$,!
!
!%
!"
!"#"$
!"
&
! !$#$%
!"
'
! "$#$%
!"
(")
! ! $#$% &
!"
*"+
! " $#$% &
!
"#$!)(4$/!$+$/68!-,2,$-!2/$!2)&6+$%!4&,#!,#$!7&$)%3!,#$!#&6#$/!(+$-!2/$!2+,&:2)&6+$%.!
!
;<.=>!!2?!!@(/!,#$!0+'$/,0/1$%!52-$!A!!B!<?!4$!#2C$!
! " ! !$
!
! ! ! "! # ! " ! & !
#
&
!
!
#
"
%
!
4&,#!$&6$+C2)0$-!!;!B!"<3!!=!B!"<3!!>!B!D"<!2+%!$&6$+C$5,(/-!
! !$
! "$
! "$
#
&
#
&
!
! ! " # $ ! ! # % ! # "& !
# &
# &
# &
"
"
"
%
"
%
" !%
!
E(,$!,#2,! ! !2+%! ! !2/$!%$6$+$/2,$!2+%! ! !&-!+(+%$6$+$/2,$.!
!"##"#$%
%
#&'$(%
!"#$%&$'()*+,(-.$
!"##$%&#'%%(#)*#*+,#-,.*/.!)*0%1#%2#*+,#1%13,4,1,.)*,# ! #5*)*,6##70.5*#&,#1,,3#*%#&.0*,#
*+,#-,.*/.!)*0%1#8)90'*%10)1#!"#:#!#;#!<#
""
!
#"
# !
! ! ! "! % ""
%
$ !
!
#
!&
#" ( #
(
!'
=+,#20.5*>%.3,.#,1,.4?#@%..,@*0%1#05#
!"!"# ! "" $ # # ! "" $ #
#
!%!"# ! %" $ # # ! %" $ # ! $
#
!!"#$ ! % #
#
=+,#5,@%13>%.3,.#,1,.4?#@%..,@*0%1#05#
#
!!"#$ ! $
# #!
#
!" % # " ! # " % #
!
!!"%$ " !#"%$
!!"%$ " !&"%$
#
$
!" % # " ! #" % #
!!"%$ " !#"%$
#
!%$%
%
$
! !% #$%
'$% " $% '$% " $%
#
!
!" % # " ! &" % #
#
#
8,1@,#*+,#@%..,@*,3#,1,.4?#05#
#
!! ! !!"#$ " !!"%$ " !!"&$ ! '"# " # " !! &"# #
#
!! ! "" "# # " !! $ $% #
@"##$%&#'%%(#)*#*+,#-,.*/.!)*0%1#%2#*+,#3,4,1,.)*,# ! #)13# ! #5*)*,56##8,.,#&,#1,,3#*%#
30)4%1)'0A,#*+,#-,.*/.!)*0%1#8)90'*%10)1#&0*+01#*+)*#BCB#5-)@,D#
#
""
!
#"
# !
! ! ! "! % ""
%
$ !
!
!&
# !
#" ( ) ! $%"
! ! "! %
(
$ ""
!'
"" &
#
! ('
E0)4%1)'0A014#40F,5#
!"
!#!"
#
!#!"
!"
!"
" ! " # " ! " # ! " !#!" #! ! " #
""
!
#
! # # !!"! ! "
" ! $!!#!"
#
!"##"#$%
!! ! !!"#$ " !!"!$ ! "# " %!"# ! "# #! " %! $
!% ! !%"#$ " !%"!$ ! "# " %!"# ! "# #! " %! $
%
#
#&'$!%
!"#$%&$'()*+,(-.$
!"##$%&# !&'&(&)*+&# ,&-&,.# ./,0+# ,0(&*),12# 3%0,&# +%&# (4(!&'&(&)*+&# ,&-&,# %*.# *# 56*!)*+07#
!&/&(!&(7&#*(!#0.#)&/&,,&!#81#+%&#4(&#,43&)#,&-&,#0+#0.#746/,&!#+42#*.#&9/&7+&!:!
EêV0
4
3
2
1
0.0 0.1 0.2 0.3 0.4 0.5 0.6
e
#
#
;<:=>#
"" !
$! "
%
! ! "! $
$ ! #!
$# ! !
!
*"##?4)#+%&#6(/&)+6)8&!#7*.&#3&#%*-&#
!
#!
$
!
!%
!'
'#
!'
% '&
! " ! ! !$
# ! " ! !&
&#
%
! ! ! "! #
# ! ! # !&
#" ! ! ! $ &%
!
30+%#&0'&(-*,6&.#!;#@#A"<2#!=#@#A"<2#!A#@#B"<#2#!>#@#C"<#*(!#&0'&(-&7+4).#
! !$
! "$
! "$
! "$
# "&
# !&
# "&
# "&
&
&
&
#
#
#
# $ !
# % !
# & !# &#
#
! !
# "&
# "&
# !&
# "&
#" " &%
#" " &%
#" " &%
#" ! &%
!
D4+&#+%*+# ! #*(!# ! #*)&#!&'&(&)*+&#*(!# ! #*(!# ! #*)&#(4(!&'&(&)*+&:#
8"#
E&+F.#G0).+#!4#(4(!&'&(&)*+&#/&)+6)8*+04(#+%&4)1#G4)#+%&# ! #*(!# ! #.+*+&.:##?0).+#
3&#(&&!#+4#3)0+&#+%&#/&)+6)8*+04(#H*I0,+4(0*(J#
%
!"##"#$%
#! "
%" !
! ! ! "! %
% ! ""
%$ ! !
!
%
!
""
!
"
!&
!(
(%
"(
! ('
#&'$(%
!"#$%&$'()*+,(-.$
!"#$%&'()*+',#'$-+''#-)&+.($/'#$
!"!"# ! "" $ # #% ! "" $ #
!&!"# ! &" $ # #% ! &" $ # ! $ $
$
!'!"# ! ' " $ # #% ! ' " $ # ! $
0+$1#$.##,$)+$2+$)+$(#-+.,$+',#'$%+'$)"#(#$()/)#($
"" $ # #% ! $ " $ #
!"!"# ! $
!"!$# " !$!$#
$ #"
$
"
&" $ # #% ! $ " $ #
!&!"# ! $
"
!
!&!$# " !$!$#
$ #"
&" $ # #% ! '" $ #
"
$
!&!$# " !'!$#
"
&" $ # #% ! "" $ #
"
$
!&!$# " !"!$#
&" $ # #% ! ( " $ #
"
$
!&!$# " !(!$#
"
%%$
"%%$
$
&( ' ) &
!
$
$
! % "%$ ( $ + ! % "%$
' " "" * "
)%$ " &%$ )%$ " &%$ )%$ " *%$
"
$
!!"#$ ! $
! " % # "& ! # " % #
# #$
!
!!"%$ " !#"%$
! " % # "& ! '" % #
!!"%$ " !'"%$
#
$
! " % # "& ! #" % #
!!"%$ " !#"%$
#
$
#
%%%
%
%
'
$
$
! % #%%
)%% " (%% )%% " (%% )%% " *%% #
#
!
#
#
! " % # "& ! (" % #
!!"%$ " !("%$
#
$
!"3($)"#$#.#'2&#($)+$(#-+.,$+',#'$/'#$
$
! %
"
!! ! "" $ # " ! $ '
$ &
#
$
' $%
"
!% ! "" $ & " ! '
$ &
#
4+1$ 5++6$ /)$ )"#$ 7#')3'8/)&+.$ +%$ )"#$ ,#2#.#'/)#$ ! $ /.,$ ! $ ()/)#(9$ $ :#'#$ 1#$ .##,$ )+$
,&/2+./5&;#$)"#$7#')3'8/)&+.$:/<&5)+.&/.$1&)"&.$)"/)$=>=$(7/-#?$
$
#! "
%" !
! ! ! "! %
% ! ""
%$ ! !
!
!
""
!
"
!&
!(
# ! "&
( !!!)!! ! #$"
$
! ! "! %
"(
$ " ! ('
! ('
@&/2+./5&;#$)"&($
!"##"#$%
%
#&'$(%
!"#$%&$'()*+,(-.$
!
!"
#!!
#!!
!"
!!
" " ! " #!! # ! !
"
!
" ! $#!!
"#$!%&''$%($)!$*$'+,$-!.'$!
!
!! ! !!"#$ " !!"!$ ! %"# " !"#
!& ! !&"#$ " !&"!$ ! %"# " !"#
!
!
!
!"##"#$%
%
#&'$(%
!"#$%%$&'()*+',-$
!!"!##$%&'#
!" ! " ! ! # #$ ! $!! %
#
!" ! # ! ! % #$ ! $!! " #
! ! ! ! # ! $!! #
!" % " $
#
!" ! ! " ! " #$ ! !" ! ! " ! # #$ ! !" ! ! " ! $ #$ ! # #
()*#+,&#-.//&*#)0&*.+)*%1#2&#,.3&#
"!
#
!
! ! ! # $ "! " ! #! $ ! ! " ! #! $ # $ " ! " ! ! " # ! # "# ! " ! ! $ $% ! # "# ! $ ! ! " $% ! "# ! $ ! ! $ $%
$ $ ! # % #!! % & ! # % !#!! % & ! $ $ %!! %
!
#
.4/#
!" ! ! " ! ! #$ " !" ! ! " ! " ! #! $ #$ " !" ! ! " ! " #$ ! # !" ! ! " ! $ #$ " # ! ## " # #
#
(54.--61#2&#,.3&#
!" ! " ! ! ! #$ " !" ! " ! ! # ! $! % #$ " !" ! " ! ! # #$ ! $ !" ! " ! ! % #$ " $!! % ! $ # %$!! # $
#
#
$
" !!! # % $!! % " !! ! # ! $! % " !!! !
!
#
#
!!"7##$%&##
! ! ! ! # " !!! ! #
!" " ! $
8)# %,)2# +,.+# +,&# -)2&*549# )0&*.+)*# /&%&*3&%# 5+%# 4.:&1# .;+# 25+,# ! ! # )4# .4# .49<-.*#
:):&4+<:#&59&4%+.+&# !" ! 1#2,&*&#2&#.%%<:&#+,.+# !" ! #5%#.#4)*:.-5=&/#&59&4%+.+&#+,.+#
%.+5%>5&%# +,&# &59&43.-<&# &?<.+5)4# ! " #$ # ! $ # ! #$ # "# # 8)# -&.*4# .@)<+# +,&# .49<-.*#
!
:):&4+<:# ;):0)4&4+# )># +,&# 4&2# A&+# ! ! "# " 1# ;)4%5/&*# 2,.+# ,.00&4%# 2,&4# +,&#
;):0)4&4+#)0&*.+)*# ! " #.;+%#)4#+,&#4&2#A&+# ! ! "# " '#
#
!
#
! " ! ! #$ #
"# ! !
"
!
#$ # #
#
8,&#;)::<+.+)*#.@)3&#+&--%#<%#+,.+#!! " ! ! ! ! ! ! " ! !! ! 1#%)#2&#9&+#
#
! ! #$ # # ! ! ! ! " ! !! ! " #$ # # ! ! ! " #$ # ! !! ! #$ # #
#
!" !
B)2#<%&#+,&#.49<-.*#:):&4+<:#&59&43.-<&#&?<.+5)4# ! " #$ # ! $ # ! #$ # #+)#)@+.54#
!
# ! " ! ! #$ # # ! ! $ # ! #$ # ! !! ! #$ # # $ # ! ! ! ! ! #$ # # $ # ! ! ! ! ! #$ # # #
!
8,5%# &?<.+5)4# +&--%# <%# +,.+# 2,&4# +,&# 4&2# A&+# ! ! "# " # 5%# .;+&/# )4# @6# +,&# ;):0)4&4+#
)0&*.+)*# ! " 1#+,&#*&%<-+#5%#+,&#%.:&#A&+# ! ! "# " #:<-+50-5&/#@6#+,&#>.;+)*# ! " ! ! ! 1#2,5;,#
!
:&.4%#+,.+#+,&#4&2#A&+# ! ! "# " #5%#.-%)#.4#&59&4%+.+&#)># ! " 1#@<+#25+,#.#:.94&+5;#?<.4+<:#
!
!
"
"
!
"!
" !
"!
!
!"##"#$%
%
"
"
##&#%
!"#$%%$&'()*+',-$
!
"
!"#$%&' ! " ! ! '()*('+,',#*--%&'()*!'()%'#*.!%(+/'0"*!("#'!"#$%&' ! " '12'()%'1&+.+!*-'3%('
!" ! ' $4' 1!%' "!+(5' ' 6%!/%' 7%' )*8%' .1!%' 917!' ()%' *!."-*&' #1#%!("#' -*99%&' $4' 1!%'
&"!.5'
:1&'()%'&*+,+!.'1;%&*(1&<'7%')*8%'*',+#+-*&'*&."#%!(='
'
"
! " ! ! #$ #
#$ ! !
"
#$ # $ " ! ! ! " ! !! ! # #$ # $ ! ! ! " #$ # ! !! ! #$ #
!
#"
"
$ ! ! $ # ! #$ # ! !! ! #$ # $ $ # ! ! ! ! ! #$ #
!
# "
#"
$ $ # ! ! ! ! ! #$ #
#
'
'
6%!/%<' ()%' !%7' 3%(' ! ! "# " ' +,' *-,1' *!' %+.%!,(*(%' 12' ! " <' $"(' 7+()' *' #*.!%(+/' 0"*!("#'
!"#$%&' ! " ! ! '()*('+,'-*&.%&'()*!'()%'#*.!%(+/'0"*!("#'!"#$%&' ! " '12'()%'1&+.+!*-'3%('
!" ! '$4'1!%'"!+(5''6%!/%'7%')*8%'.1!%'";'()%'*!."-*&'#1#%!("#'-*99%&'$4'1!%'&"!.5'
>1'2+!9'()%';&1;1&(+1!*-+(4'2*/(1&<'7&+(%'()%'!%7'3%(,'*,='
"
#
! ! "# " " $! "! # " ! " '
'
'
*!9'!1&#*-+?%'()%#'
!! "! # " ! "
#
" $ ! "# "
#
#
!! " "# " $ !$ $ ! "# "
'
#
#
" "# " $ ! $ ! "# "
$#
$
" "# " $ % ! &$ ' $ % ! &$ ' "# "
" "# " ! # ! $ (# ! & # &"$ ( $ "# "
!
.+8+!.'
'
#
#
$$
#
#
#
#
$
#
" "# " $ %# % $ '# ! & $ % $ ' ! $ ' $ % "# "
" "# " " # " % "$ " # ! # #" " # ! # " " # "# "
''
#
" " # " % "$ ! # " # " ! " " #
$ " $ " # !% ! # $ # ! !%% "" #
! ! "# " " !
!
"
"
"
!! '
'
'
@@5A''>)%'*!."-*&'#1#%!("#'%+.%!8*-"%'%0"*(+1!,'*&%'
! ! !" ! ! ! # ! " "$ ! ! !" !
'
# $ !" ! ! " ! ! !" !
!
B%'9%2+!%'()%'C-%!.()C'12' ! '*,'()%',0"*&%'&11('12'()%'%D;%/(*(+1!'8*-"%'12' ! ! ='
'
! # ! " "$! '
!
>)%'8*-"%'12'()%'*!."-*&'#1#%!("#'/1#;1!%!(' ! " <' ! " ! <'#",('$%'-%,,'()*!'1&'%0"*-'(1'
!
()%'C-%!.()C'12' ! <',1'
'
!" ! ! ! !" ! !
'
! !!
! "
!"##"#$%
!" ! ! # ! " "$ ! ! !" ! !
" " " ! !#!!!!"!! " !
%
" " " ! !# ! '
##&$%
!"#$%%$&'()*+',-$
!"#$%&'#()*(#()"#+*,-".#&/# ! " #/&01#()"#0-%2.#&/#()"#*%2-,*0#1&1"%(-1#,*33"0#'4()#-%4(#
.("5.# 6"('""%# ()"17# # 8)"# 0-%2.# 1-.(# ,4"# &%# 4%("2"0.# &0# )*,/# 4%("2"0.9# .&# '"# )*+"# ('&#
5&..464,4(4".#/&0#()"#,*33"0#
#
!!!!
! !"
!!!!
!
!!!!
! !"
!!!!
!!!!!"#!!!! !!!!
!!!!
! ! $#
! ! "$ #
! ! "$
8)"#:-".(4&%#4.;#')4<)#4.#()"#(&5#0-%2=##>?("%34%2#()"#4%":-*,4(@#*6&+"9#
! ! "! !
#
! " ! ! !# !! " ! ! !# #
'"#.""#()*(# ! " #1-.(#,4"#*(#&0#6",&'#()"# " ! ! !# #0-%2#&/#()"#,"/(#,*33"07##A&'#%&("#()*(#
! " ! ! !# $ ! " ! !
" ! ! !" #" ! ! !" # $ ! " ! ! ! !# #
! ! " ! ! !# % " ! ! !" # " ! ! !" #
#
')4<)#415,4".#()*(#
" " ! !" #" " ! !" #
#
! " !!! " " " ! !# !$ " " ! !" #
8)4.# (",,.# -.# ()*(# ()*(# ! " # 1-.(# ,4"# 6",&'# ()"# " ! ! !" # # 0-%2# &/# ()"# 042)(# ,*33"09# ')4<)# 4.#
6",&'#()"#()"# " ! ! !# #0-%2#&/#()"#,"/(#,*33"09#()-.#"?<,-34%2#()"# " ! ! !# #0-%27##8)"# " ! ! !" # #
#
! " !!
" " " ! !# !$
0-%2#4.#*6&+"#()"#!#0-%2#&/#()"#,"/(#,*33"07##B&#()"#(&5#0-%2#1-.(#6"#()"#!#0-%2#&/#()"#,"/(#
,*33"0;#
! "!"#$ ! " #
#
#
CC7D##*E#F#.54%#GHI#.@.("1#)*.#"#J&0#!E#":-*,#(&#GHI#*%3#.&#)*.#/&-0#5&..46,"#.(*(".#'4()##.#
J&0##KE#":-*,#(&#LGHI9#LCHI9#MCHI9#*%3#MGHI7##8)"#/&-0#"42"%.(*(".#*0"#
#
!"! !
!
"
# "! #!! "! # $" #!! "! # !$" #!! "! # !!" #
#
8)"#"42"%+*,-"#":-*(4&%.#*0"#
! ! !"! ! ! # ! " "$ ! ! !"! ! "#$ ! ! !% & "!
#
!"##"#$%
" %! %& %
$ ! ! !
$$ "! ! !% & "!
#$ !"! ! "! ! !"! ! #
"
% !"
$ ! !! !& !
$ % % !%
$% ! ! ! ! & !
!
%
#
##&'%
!"#$%%$&'()*+',-$
!"##$%&#'()*+,&-#*&.*&-&/)+/0# ! ! #(/1# !" #(*&#1+(02/(3#+/#)%&+*#24/#!(-+-5)%&# !"! #!(-+-6#
4+)%#)%&#1+(02/(3#&+0&/7(38&-#9*2'#(!27&:#
!
#
#
!! ! #
#
#
"
"#
$
"!
"#
$
%
%
%
"!
%
%
%
%
%
$
&
% &
&
% &
"# ! &
$ "
%
%
"!
"#
$
%
#
$
! &" %
%
%
!
&
#
"
%
% &
# % !"
!" ! #
% &
%
% ' "! "
&
#
#" %
%
%
' !& " &%
!
,"# # ;&/&*()&# )%&# '()*+,&-# *&.*&-&/)+/0# !" # (/1# !" # !<# /2)+/0# )%()# !! " !" ! #!$ 6# 4%+,%#
0+7&-#
#
# !" " !! $
#
!# ! !$" # !" ! !! $
!" !
#
!
"
=+*-)#0&/&*()&# !! #8-+/0#
! "#" " !
!!
#
$ " $ " # !% ! # $ #
"
"
! !%% "" #" ! ! #
4%+,%#0+7&-#)%&#'()*+>#&3&'&/)-#
$ ! $ ! # !% " " $ " ! !%% !" " ! !
$ ! $ ! # !% " " $ " ! !%% !!"! !" " ! ! #
$ ! $ ! # !% " " $ " ! !%%# #
!!"!! #! !"! " !!"!! !
"!
#
!
"!
!
!
!
!
!
!
!
!
!! ! "!! ""! !!
!
?&/,&#
#
!"##"#$%
!
#
!! ! #
#
#
"
!
#
!' ! #
#
#
"
!
!
!
"" !
!
#"
!
!
!
!
!
!
!
!
"" !
!
#"
!
$
&
&
"" &
&
! %
!
!
!
%
! $
&
!
! &
!
! &
&
"" ! %
#
!
##&'%
!"#$%%$&'()*+',-$
!"#$%&#'($%
!
#
"#
!" ! #
!
#
#"
%
"
#
"
!
"
!
"
"
"
#
" $
&
" &
&
# &
" &%
"
#
! " '$ # "
"
#
"# $ #
"
'$!
"
!# ! #
!
$!
" '$ #
# "
#" "
"
$ #
"
!
)*%%!+%,#-)%."(%(#&(-'/01($%+,% !" 2%)#/&+-/0#3(%."(%4/.5#6%
!"# ! !" ! " ! " #
!"
$! %
&
&
$! %
!"
!
&
&
!
!"
$! %
&
&
$! %
!"
%
! !
"
"
"
!
%
%
# ! " ! " " % ! $! % ' ! ! ! ! " ! " ! $! %
!
$
&
&
&
&
&%
"
!
!
"
$! % " % ! $! % ' ! ! ! & "
"
# " % " % ! $! % ' ! $! % ' " % ! $! % ' ! " % ! %
!
7+0'(%.+%&(.%
!
"
!!
%
%
& # " % ! $! % ' ! " % ! %
!
"
" "! ! # # $ ! !
! ! " ! ! " "! ! # # $
%
!
!
8"#9"%&#'($%."(%,+15%'/01($%
%
!
"! !
!
# !&
!#$ $ % ( %
# $ $!
$ !'
#
!
!
!! !
!
!!
!" ! #!!! #!!!! #!!!!
%
"
"
"
"
!
/$%(6:(9.();%
%
<<;=%!"(%(#&(-'/01(%(>1/.#+-$%,+5% !" %/-)% ! " %/5(%
%
!"##"#$%
!" # $ # % ! # $ ! # $ # %
% # # ! # % ! #$ # %
!" $ %
%
%
##&'%
!"#$%%$&'()*+',-$
!"#$%&$#'($)*+,#$(-./#*%&$0*#'$ ! " $/&1$%&$#'($,("%&1$0*#'$ !" $
$
! " #" $% $! ! ! " $% ! $% $! ! $% !! " $% $! ! $% ! " $! ! # $% $! ! $% $! ! ! $% $!
# ! $ $ ! #" $! ! $% $! ! $! !#" $% $! ! $! ! " $% ! # $% $! ! $% $! ! ! $% $!
!" " % !
$
/&1$#'(&$,.2#+/"#$#'($#0%$(-./#*%&,$
$
! " #" $ % $ ! ! #" ! " $ % $ ! ! $ % $ ! ! ! $ % $ ! ! $ % $ ! ! ! $ % $ ! ! "
!
/&1$"%&"3.1($#'/#$$
"! #
"
" ! #" ! " # $ % $ ! ! "
$
!" ! " ! #" #$ ! ! " #" % #" ! " ! " $
$
$
4456$$7'($.&"%.83(1$2/,*,$ !" !# $"%98+*,(,$)%.+$,#/#(,:$$
$
! ! !!!! ! ! !!!! ! ! !!!! ! ! $
7'($(*;(&</3.($(-./#*%&,$)%+$ !" $/&1$ ! " $/+($
$
!" # $ # % ! # $ ! # $ # %
% # # ! # % ! #$ # %
!" $ %
$
=*&1$#'($9/#+*>$(3(9(&#,$%)$ !" :$
!! !! $ ! ! ! !"! !#! !" ! !" !# ! !" ! !"! !#! !" !# ! !" !" !" !"! " !# !#! $
! " # % " #
?%$#'($ !" $9/#+*>$*,$1*/;%&/3$*&$#'($.&"%.83(1$2/,*,:$
$
"
"$
!" ! $
$
!$
$#
!
=*&1$#'($9/#+*>$(3(9(&#,$%)$ ! " :$
"
#
#
#
# # #
" # #
# !" #
# # !"
%
'
'
'
'&
!!
!!
$
!!
!!
!! !! # ! ! ! !"! !#! !# ! !" !# ! !# ! !"! !#! !" !# ! !# !" !" !"! " !# !#! $
! " # $ " #
?%$#'($ ! " $*,$/3,%$1*/;%&/3:$
$
" " #
" $ # !"
!" ! $
$
!$ # #
$# # #
!
7'($(*;(&</3.($(-./#*%&,$)%+$ ! ! $/&1$ ! ! $/+($
!"##"#$%
# #
# #
" #
# !"
%
%
'
'
'
'&
!!
!!
$
!!
!!
##&!%
!"#$%%$&'()*+',-$
! ! !" !# ! " # " " "$ ! ! !" !#
!
!
" ! !" !# ! # # # " "$ ! ! !" !#
!
"#$%$! ! ! ! " !&'(! ! ! ! " )!!*+"!,-$!.#$-$!.+!/0'(!.#$!1&.%02!$3$1$'.-4!
!
!
!
!"! !#! ! ! !" !# ! !"! !#! " # " " "$ ! ! !" !# ! " # " " "$ ! ! !"! !#! !" !# ! " # " " "$ ! !" !" !"! " !# !#!
!"! !#! " ! !" !# ! !"! !#! # # # " "$ ! ! !" !# ! # # # " "$ ! ! !"! !#! !" !# ! # # # " "$ ! !" !" !"! " !# !#!
50$3(0'6!
!
!
" #
!! ! " ! #
# #
#"
$
%
%
%
%
$
%
%
%
%
$
%
%
%
%
$
$
&
&
&
&%
!!
!'
'!
''
!
" #
"! ! " ! #
# #
#"
!
$
%
%
%
%
$
%
%
%
%
$
%
%
%
%
$
$
&
&
&
&%
!!
!'
'!
''
!
7+!$&8#!0-!9%+9+%.0+'&3!.+!.#$!0($'.0.5!1&.%02)!
!
::);!!<#$!3&(($%!+9$%&.+%-!&%$!
!
!! " !" ! #!$
% ! " % " ! #% $
!! " !" ! #!$
% ! " % " ! #% $
!
7+3=$!.#$-$!/+%!.#$!>&%.$-0&'!8+19+'$'.-4!
# !" " !! $
!$ ! !%" # !" ! !! $
!" !
!
# #" " #! $
# $ ! !%" # # " " # ! $
#" !
!
"
!
"
!
&'(!-,?-.0.,.$!.+!6$.!
# !" " !! $ !" # # " " # ! $ " !&" # !" ! !! $ !&" # # " ! # ! $ " !% # %
! !# # !" # " " !! # " " !" # ! " !! # ! $ ! !# # !" # " ! !! # " ! !" # ! " !! # ! $ " !% # %
!
! !" # !! # " " !" # ! $ " !% # %
!"" ! !" # " " !$ # $ " !% # % !
!
!
!
"
!
!
!
!
!"##"#$%
%
##&'%
!"#$%%$&'()*+',-$
!!"#$$%&'$()**'+$,-'+).,+/$01'(*$2'+,$3&'4$)5.146$,4$.&'$'7.+'8'$/.).'/$
!! ! ! " !! ! ! " !! ! ! " !! ! ! " !
$
"! ! ! " "! ! ! " "! ! ! " "! ! ! " !
$
9,+$.&'$,.&'+$/.).'/:$;/'$.&'$()**'+$,-'+).,+$'<;).1,4$$
#%&
! "! # " " ! "# "" " # #$ ! # " "# " ! #$ $%
!!
$
"! # " ! # $
3&15&$61='/$
! ! ! " ! # "!" ! "# ! #" !#" ! "#$
$ !
"! !!
!
%&'$,.&'+$+'/;(./$)+'$
"$%
! ! " ! "# "% %& ! % ! "% & !! "% ! "# $%
"$%
!! ! ! " ! "# !" "# ! # ! !" $ $! !" ! !% $%
!&"
!&"
! ! " ! % '# ! !' &
!! "! !!
!! ! ! " ! "# !" "# ! # !" $ $ !" ! !% $%
! ! " ! % '# ! !' &
!! "! !!
!&"
!&"
!&"
" ! ! ! " ! "# !" "# ! # ! !" $ $! !" ! !% $%
! ! " ! % '# ! !' &
!! "! !! $
" ! ! ! " ! "# !" "# ! # ! !" $ $! !" ! !% $%
! ! " ! % '# ! !' &
!! "! !!
!&"
!&"
!&"
!&"
! ! " ! % '# ! !' &
!! "! !!
" ! ! " ! "# !" "# ! # !" $ $ !" ! !% $% ! ! " ! % '# ! !' &
!!
%&'$8).+17$'('8'4./$,>$.&'$&0-'+>14'$?)81(.,41)4$)+'$
!! "! !!
" ! ! ! " ! "# !" "# ! # !" $ $ !" ! !% $%
!&"
!&"
!&"
!&"
"$%
!!
$
!! "! !!
!! ! ! " ! "# !" "# ! # !" $ $ !" ! !% $%
!&"
$
! ! " ! % '# ! !' &
! ! " ! # '& ! "' $
'
!"! !#! !"" !" !#
!!
$
'
"
! ! !"! !#! % ! # (" # " " (" # " $ " () # ) & !" !#
!
!"! !#! $ %&! !" !# !
$
!
%&'$)5.1,4$,>$!!"" $,4$.&'$@)/1/$/.).'/$ !" !# $1/$
!"" ! ! " % !" # !! " ! ! !! " ! $ ! !# " # & ! ! " % !" # # ! # $ ! !" ! !" !& ! ! " !$ ! " ! !
$
!"" ! ! " % !" # # ! # $ ! # !!" $ ! # !!" $ !& ! ! " !$ ! " ! !
!"" ! ! " # ! !" !! ! ! ! !" ! # !!" $ ! ! ! " !$ ! " # " ! ! ! ! !
!"" ! ! " # ! !" !! ! ! ! !" ! # !!" $ ! ! ! " !$ ! " # " ! !
!
$
! !! $
$
$
$
$
$
!"##"#$%
%
##&'%
!"#$%%$&'()*+',-$
!"#$%#&'()*+)$,*-.()/+.*+$.+$)"#$'+0/'1(#2$3*&.&$.&$
$
#
%
$ %%
! "#! !
!%
%
%
$
!
"
# #
#
#
#
"" $
$ ""
#
#
#
# #
"
&
(
(
(
(
(
(
'
!!
!"
"!
$
""
$
4456$$7#0*(($)"#$*+8'(*%$-/-#+)'-$0/--')*)./+$%#(*)./+&$
!" ! " ! ! # #$ ! $!! % !"!!! !" ! # ! ! % #$ ! $!! " !"!!! !" ! % ! ! " #$ ! $!! #
$
!" ! # ! ! " #$ ! !" ! # ! ! # #$ ! !" ! # ! ! % #$ ! $
!
!*9.+8$ 0/--')*)/%&$ :.)"$ )"#$ ";1#%<.+#$,*-.()/+.*+$ 8.=#&$ >%#0*(($ )"*)$ )"#$ #(#0)%/+$ *+2$
1%/)/+$&1.+$/1#%*)/%&$0/--')#?$
$
$
$
$
$
"# ! "#! !! " $% ! "& " !""!! " $' ! " "" "#!!! " $% ! " "" "# %& # " %' $ " %( %!! " $% !
!
#!
% !
$
! " "" # "# %& !! " $% " $ "# %' !! " $% " % "# %( !! " $% ! #
!
$
$
$
"# ! "#! ! " " $% ! "& " !""! " " $' ! " !" "# "! " " $% ! " !" "# ) & # " ) ' $ " ) ( %! " " $% !
!
#!
% !
$
! " !" # "# ) & ! " " $% " $ "# ) ' ! " " $% " % "# ) ( ! " " $% ! #
!
$
$
"# ! "#! ! %( $% ! "& " !""! %( $' ! " "# %& ) & " %' ) ' " %( ) ( ! %( $%
#!
% !
$
$
! " ) & "# %& ! %( $% " ) ' "# %' ! %( $% " ) ( "# %( ! %( $%
!
$
(*$
! " (*!%' ) & " *!%& ) ' !
%' ) & ( %& ) ' ) #
!
!
$
$
"# ! "#! ! ) ( $% ! "& " !""! ) ( $' ! " "# %& ) & " %' ) ' " %( ) ( ! ) ( $%
#!
% !
$
! " %& "# ) & ! ) ( $% " %' "# ) ' ! ) ( $% " %( "# ) ( ! ) ( $%
!
$
(*$
! " (*!) ' %& " *!) & %' !
) ' %& ( ) & %' ) #
!
!
!
#
$
#
$
#
#
$
$
#
#
#
$
$
$
#
$
$
$
$
$
!"##"#$%
%
##&'%
!"#$%%$&'()*+',-$
!!"!#$$%&'$()*+,-$./+$ ! ! $,0$
!
#
#
!
!#
! !"
#
#
#
"
!
$
!
" "
"
"
"
# #
# #
"
"
"
" "
!
$
&
&
&
&
&
&
%
!!
!'
'!
$
''
1,)2/3)4,5'6$
!! ! ! "
"
"
"
!
!
"
! !"
!
"
!"
!
!
"
!
! !"
"
"
"
"
!! ! ! "
$
" !!
#"
! " !! ! ! "
!
#$" !
" !!
!
!
#"
! " # $" !
#
%
! " !! ! " ! !# ! " $
!
!
!
#
!
%
! " ! !# ! "
%&'$0/47*,/30$)+'$
$
!!
!
! !!
!
"
!"
"
!
# "!!!#!!! " # !! ! # !! !
!
! " ! ! $ # "!!!#!!! " # "! ! # !! !
!
$
8,39$*&'$',2'3:';*/+0$./+$!! ! !! ! $
!! ! ! " !
# ! " " "
% " # # "
$
!! %
% " # # "
%$ " " " !
!
%&,0$2,:'0$*&+''$0/47*,/30$
&#
(%
(%
(%
(' %$
!
"
#
$
"
$
$
! !$
$
$#
!
"
8/+$*&'$!! ! !! $0*)*'<$='$2'*$
!"##"#$%
&
#
(
%
( ! !! ! %
(
%
('
%$
!
"
#
$
&
(
( !!!)!!!
(
('
% "
' $
' !#!!! $
' $
'& $#
"
"
"
!
% " "
' $$ ! $
' #!!! $
' $ ! $
'& $
# "
!
"
"
"
%
!! ! !!
$
" " # ! !"
!!!)!!!" ! #!
" " # ! !#
!$ ! !$
%
'
'$
'
'
'&
##&#'%
!"#$%%$&'()*+',-$
!
#
!! #
#
#"
!
"
"
"
!
"
#
#
"
"
#
#
"
"
"
"
!
$!
&#
&#
&#
&% #"
!
"
#
$
$
!
&
#
& ! "! ! #
&
#
&%
#"
!
"
#
$
$
&
& !!!'!!!
&
&%
!
"
#
# !
) "! #
# (# !
#
#"
"
!! ! "!
" " # ! ""
!!!'!!!! ! $ ! "!$!" ! (#!
" " # ! "#
!$ ! "$
!
$
&
&
&
&
&%
!
"#$!!! ! !! ! !$%&$'()*+$,!-.//$,0.'1!2.! ! ! !!)'1!2#$!!! ! !! " !$%&$'()*+$!-.//$,0.'1,!2.!
! ! ! 3!!"#$! ! " !$%&$'()*+$,!)/$!.42)%'$1!5/.6! ! " ! #$ " #% 7!&%(%'&!2#$!5.+/!,2)2$,!
! ! !" " ! ! ! ! " "
!
! ! !" " ! ! !! ! ! !
! ! !" " ! ! # !
!
$
! ! #" " ! ! # !
!
$
# "!
# "!
" !"
$
! !" $
!
$
! !" $
!
!
88388!!"#$!-.+0*$1!4),%,!,2)2$,!)/$!
! ! !" " ! ! ! ! " "
!
! ! !" " ! ! !! ! ! !
! ! !" " ! ! # !
!
$
! ! #" " ! ! # !
!
$
# "!
# "!
" !"
9**!2#$!+'-.+0*$1!,2)2$,!#)($!2#$!,)6$!:+)'2+6!'+64$/,! ! ! ! " !)'1! ! ! ! " 7!,.!)**!2#$!
-.+0*$1!,2)2$,!#)($!2#$,$!,)6$!:+)'2+6!'+64$/,!)'1!#$'-$!)/$!$%&$',2)2$,!.5! ! ! !)'1! ! ! !
;%2#! $%&$'()*+$,! !!! " # 3! ! "#$! 6)2/%-$,! )/$! 2#+,! 0/.0./2%.')*! 2.! 2#$! %1$'2%2<! 6)2/%=! >),!
2#$<!)/$!%'!2#$!+'-.+0*$1!4),%,?!
!
!"##"#$%
!
" #
!! ! " ! #
# #
#"
$
%
%
%
%
$
%
%
%
%
$
%
%
%
%
$
$ $$
& $%
&
& $& '$
&% %%
!
" #
"! ! " ! #
# #
#"
!
$
%
%
%
%
$
%
%
%
%
$
%
%
%
%
$
$ $$
& $%
&
& $& '$
&% %%
%
!
##&##%
!"#$%%$&'()*+',-$
!"#$ %&'()*$ +,($ ! ! $ )-$
!
!
!! !" ! ! ! # ! " "$ ! !" ! 6$$
$
,.'&)/#0$
!
#
!! ! "! #
#
#"
!
!
"
"
"
"
!
"
"
"
+(,%$
"
"
!
"
#
"
"
"
"
"
!"#$"78#(+)/#$8#('4(.&'),/$)-$ ! "#! ! $ ! ! !"" ! $
!
) " ! " " " %
" % "
+ $
$ +
" ! " " ' # !$ " %
! "#! ! ! *! ! $
'( ! $
!! + $ " " ! " ' $ $ " "
$# " "
+, $# " " " " '&
$
" % " " " % %%
$ $ " % " " ' %"
! $
'
$ $ " " % " ' %& (%
$# " " " (# '& ""
!
'"#$
#)1#/2&34#$
#54&'),/$
$ ##
& #"
$
&
& #$ '#
&% ""
#"
#
!! ! # ! " ! ! " " ! 9$(#-43')/1$)/$
"
"
%
"
"
"
"
%
%
"
' # !$
'( ! $
' $ $
'&
$#
%
"
"
"
"
%
"
"
"
"
%
"
"
"
"
%
%' ++
'.
'+
'& +
/
$
$
::6:;$$<&(')=3#$>:$"&-$-8)/$:$?!:$@$:A$&/0$8&(')=3#$>;$"&-$-8)/$:B;$?!;$@$:B;A6$$
&A$!,$+)/0$'"#$8,--).3#$4/=,483#0$.&-)-$-'&'#-$ !!!" "!"" $/,'#$'"&'C$
!"#(#$&(#$D$-'&'#-$E)'"$!:"@$:9$#&="$E)'"$&$0)++#(#/'$#F8(,G#='),/C$ !! @$:9H9F:$
!"#(#$&(#$;$-'&'#-$E)'"$!;"@$:B;9$#&="$E)'"$&$0)++#(#/'$#F8(,G#='),/$ !! $@$:B;9$F:B;6$
!"#(#$&(#$I$8,--).3#$-'&'#-$)/$'"#$4/=,483#0$.&-)-$-'&'#-$ !!!" "!"" 6$$$!"#-#$&(#$
$
! !" ! !"
! !" ! !!"
! !" # !"
! !" # !!"
! !" $ !! !"
! !" $ !! !!"
"
.A$$!"#$-'(#'="#0$-'&'#$E)'"$%&*)%&3$8(,G#='),/-$)-$
! !" ! !" $
$
!")-$)-$'"#$-'&'#$ !! ! !" !# ! !# " " ! #$ " # !
$
$
#
! !
" "
!
$ $
# #
$)/$'"#$=,483#0$.&-)-9$-,$E#$"&2#$
! # #" # #" "
=A$$J8#(&'#$,/$'")-$-'&'#$E)'"$'"#$3,E#()/1$,8#(&',($ !! ! !!! " !"! $+,($'"#$!J!KL$-8)/$',$
1#/#(&'#$ '"#$ /#*'$ #)1#/-'&'#$ ,+$ '"#$ ','&3$ -8)/$ &/0$ ','&3$ #$8(,G#='),/%$ $ !,$ 1#'$ '"#$ +&=',(-$
()1"'9$E#$%4-'$0,$'"#$,8#(&'),/$)/$.,'"$.&-#-6$
!"##"#$%
%
##&#$%
!"#$%%$&'()*+',-$
!
"
!
!!
! !
" "
! # !#! " !"! $ # #" # #" ! !#! # #" # #" " !"! # #" # #"
$ "! " #% ! "! $ "! ! #%!
! #
" "
! #$# " #% ! #$# ! #%! # #" & #" "
!
! #
" "
! "! # #" & #" " ! # #" # !#"
#"
'
#
"
$ #" " #% ! #" $ #" ! #%! # #" # !#"
! #
"
#
#
#
# !#
" " !
! #" & " "
! #"# "
!
"#$%!$%!&#'!%'()*+!(),-.*!$*!"/0,'!11232!!4)5!/66,7!&#'!,)5'8$*9!)6'8/&)8!&)!
!
"
!!
! #
" "
% "! " #& ! #" % #" ! #&!
! !#
" "
! # !#! " !"! $
#
"
!
# #" $ #" "
! #%# " #& ! $%$ ! #&!
" #%# " #& ! #%# ! #&!
#(
)
!
!
!
! !#
" "
! "!
! !#
" "
!
#
!
"
!
#
!
# #" ' !# #" " "!
"
!
# #" ' !# #" "
"
!
#
!
# #" # !#"
$
# #" ' !# #" "
#
"
!
"
! !#
" "
! # !#! " !"! $
& "! " #' ! !#" & !#" ! #'!
! !!
" "
! #&# " #' ! %&% ! #'!
!
! !#
" "
! "!
! !#
" "
! # #" $ !# !#"
#"
(
!
!
"
!
# #" $ !#"
"
!
# #" $ !#"
# #" $ !#"
"
!
# #" $ !#"
!!
#
!
!
% #" " #& ! #" % #" ! #&!
"#$%!$%!&#'!&#$8+!(),-.*!$*!"/0,'!11232!!4)5!/66,7!&#'!,)5'8$*9!)6'8/&)8!&)!
#
! #
" "
!
# #" $ !# #" "
# #" $ !# !#" " !
"
!
# #" % !#"
# #" $ !# !#" "
"
!
$
#
"
! !#
" "
!
& #" " #' ! #" & #" ! #'!
#
!
# #" $ !# !#"
# #" $ !# !#"
#
!
"#$%!$%!&#'!:)-8&#!(),-.*!$*!"/0,'!11232!!"#$%!$%!;-%&!&#'!)66)%$&'!%&8'&(#'+!%&/&'<!5#$(#!$%!
/*!'$9'*%&/&'!$*!0)&#!0/%'%2!!4)5!-%'!)8&#)9)*/,$&7!&)!9'*'8/&'! !" !" !:8).! "! #" 2!
!!
!
!!
#
" $ $ $
# # # #
!!
#
"
#
"
$ $# ! $# "
!"
$
"
$
"
$ $# $ !$#
$# ! $
$
#
! $# " " $ $# $ !$#
$!
"
" ! !! #
/!/*+!0!/8'!0)&#!8'/,!/*+!
!
! !
" "
!$%!*)8./,$='+<!%)!>5$&#!%&/*+/8+!(#)$('!):!()*?'*&$)*@!
! !
" "
!
"
#
! !" ! !!" !
!
#
! !" $ !" !
"#$%!$%!&#'!:$:&#!(),-.*!$*!&#'!&/0,'!$*!&#'!&'A&2!!4)5!/66,7!&#'!,)5'8$*9!)6'8/&)8!&)!
!"##"#$%
%
! !
" "
!
##&#'%
!"#$%%$&'()*+',-$
!
"
!!
! !
" "
% !" " !& ! !" % !" ! !&!
! !!
" "
! # !!! " !"! $
!
!
"
#
! !" ! !!" !
! !%! " !& ! !%! ! !&!
!
!
#
! !!
" "
!!
! !!
" "
!
!
"
! !" ' $ !!" ! !
! !" ' $ !!" !
"
#
! !" $ !"
$
! !" ' $ !!" ! !%! " !& ! $%$ ! !&!
% !" " !& ! !" % !" ! !&!
!
#
!
#
"
#
!
#
!
#
!
#
! !" ' !! !"
! !" ' $ !!"
! !" ' !! !"
! !" ' !! !"
"
#
"#$%!$%!&#'!%$(&#!)*+,-.!$.!"/0+'!11232!!
45!!6%$.7!&#'!8'%,+&%!98*-!:)5;!<'!7'&!&#'!=+'0%)#>?*84/.!&/0+'@!
j1 =1
j2 = 12
!
j
3
2
3
2
3
2
3
2
m
3
2
1
2
- 12
1
2
1
2
-2
1
2
- 12
0
0
3
m1
m2
1
1
2
1
0
0
0
1
- 12
0
1
0
0
0
1
2
0
0
0
0
- 12
0
0
-1
1
2
0
0
1
-1
- 12
0
0
0
3
2
3
2
3
3
-
2
3
0
1
0
3
0
0
0
0
1
0
1
3
2
3
0
!
!
11213!!A.!&#$%!%B%&'-;!C/8&$)+'!D1!#/%!%C$.!1!:!1!E!15!/.4!C/8&$)+'!DF!#/%!%C$.!1GF!:!F!E!1GF52!!
"#'!C*%%$0+'!,.)*,C+'4!0/%$%!%&/&'%! !! !" "!"" !/8'@!
"#'8'!/8'!3!%&/&'%!<$&#!!1"E!1;!'/)#!<$&#!/!4$99'8'.&!#>C8*H')&$*.@! !! E!1;!I;!>1!
"#'8'!/8'!F!%&/&'%!<$&#!!F"E!1GF;!'/)#!<$&#!/!4$99'8'.&!#>C8*H')&$*.! !! !E!1GF;!>1GF2!
"#'8'!/8'!J!C*%%$0+'!%&/&'%!$.!&#'!,.)*,C+'4!0/%$%!%&/&'%! !! !" "!"" 2!!!"#'%'!/8'!
!
! !" ! !"
! !" ! !!"
! !" # !"
! !" # !!"
! !" $ !! !"
! !" $ !! !!"
"
"#'!%&8'&)#'4!%&/&'!<$&#!-/($-/+!C8*H')&$*.%!$%!
! !" ! !" !
!
"#$%!$%!&#'!%&/&'! !! ! !" !# ! !# " " ! #$ " # !
!
!"##"#$%
! !
" "
$
#
!
$ $
# #
!$.!&#'!)*,C+'4!0/%$%;!%*!<'!#/K'!
! # #" # #" ;"
%
##&#'%
!"#$%%$&'()*+',-$
!"#$"% #&% '"(% )#*&'% $+,-./% #/% 012,(% 33454% % 6+!% +7(*1'(% +/% '"#&% &'1'(% !#'"% '"(% ,+!(*#/8%
+7(*1'+*% ! ! ! !!! " ! "! %)+*%'"(%'+'1,%1/8-,1*%.+.(/'-.%'+%8(/(*1'(%'"(%/(9'%(#8(/&'1'(%+)%
'"(%'+'1,%1/8-,1*%.+.(/'-.%1/:%'+'1,%!"7*+;($'#+/#%%0+%8('%'"(%)1$'+*&%*#8"'<%!(%.-&'%:+%
'"(%+7(*1'#+/%#/%2+'"%21&(&4%
!
"
%
!!
! !
" "
! # !#! " ! "! $ # #" # #" ! !#! # #" # #" " ! "! # #" # #"
$ "! " #% ! "! $ "! ! #%!
! #
" "
! #$# " #% ! #$# ! #%! # #" & #" "
!
! #
" "
! "! # #" & #" " ! # #" # !#"
#"
'
#
"
$ #" " #% ! #" $ #" ! #%! # #" # !#"
! #
"
#
#
#
# !#
" " !
! #" & " "
! #"# "
!
0"#&%#&%'"(%&($+/:%$+,-./%#/%012,(%33454%%6+!%177,=%'"(%,+!(*#/8%+7(*1'+*%'+%
!
"
!!
! #
" "
% "! " #& ! #" % #" ! #&!
! !#
" "
! # !#! " ! "! $
#
"
!
# #" $ #" "
! #%# " #& ! $%$ ! #&!
" #%# " #& ! #%# ! #&!
#(
)
!
!
%
! !#
" "
! "!
! !#
" "
!
#
!
"
!
#
!
# #" ' !# #" " "!
"
!
# #" ' !# #" "
"
!
#
!
# #" # !#"
$
# #" ' !# #" "
#
"
!
"
! !#
" "
! # !#! " ! "! $
& "! " #' ! !#" & !#" ! #'!
! !!
" "
! #&# " #' ! %&% ! #'!
!
! !#
" "
! "!
! !#
" "
! # #" $ !# !#"
#"
(
!
%
"
!
# #" $ !#"
"
!
# #" $ !#"
# #" $ !#"
"
!
# #" $ !#"
!!
#
!
%
% #" " #& ! #" % #" ! #&!
0"#&%#&%'"(%'"#*:%$+,-./%#/%012,(%33454%%6+!%177,=%'"(%,+!(*#/8%+7(*1'+*%'+%
#
! #
" "
%
# #" $ !# #" "
# #" $ !# !#" " !
"
!
# #" % !#"
# #" $ !# !#" "
"
!
$
#
"
! !#
" "
%
& #" " #' ! #" & #" ! #'!
#
!
# #" $ !# !#"
# #" $ !# !#"
#
!
0"#&%#&%'"(%)+-*'"%$+,-./%#/%012,(%33454%%0"#&%#&%;-&'%'"(%+77+&#'(%&'*('$"(:%&'1'(<%!"#$"%#&%
1/%(#8(/&'1'(%#/%2+'"%21&(&4%%6+!%-&(%+*'"+8+/1,#'=%'+%8(/(*1'(% !" !" %)*+.% "! #" 4%
!!
%
!!
#
" $ $ $
# # # #
!!
#
"
#
"
$ $# ! $# "
!"
$
"
$
"
$ $# $ !$#
$# ! $
$
#
! $# " " $ $# $ !$#
$%
"
" ! !! #
1%1/:%2%1*(%2+'"%*(1,%1/:%
%
! !
" "
%#&%/+*.1,#>(:<%&+%?!#'"%&'1/:1*:%$"+#$(%+)%$+/@(/'#+/A%
! !
" "
!
"
#
! !" ! !!" !
!
#
! !" $ !" %
0"#&%#&%'"(%)#)'"%$+,-./%#/%'"(%'12,(%#/%'"(%'(9'4%%6+!%177,=%'"(%,+!(*#/8%+7(*1'+*%'+%
!"##"#$%
%
! !
" "
%
##&#'%
!"#$%%$&'()*+',-$
!
"
!!
! !
" "
% !" " !& ! !" % !" ! !&!
! !!
" "
! # !!! " ! "! $
!
!
"
#
! !" ! !!" !
! !%! " !& ! !%! ! !&!
!
!
#
!
"
! !!
" "
!!
! !!
" "
!
! !" ' $ !!" ! !
! !" ' $ !!" !
"
#
$
! !" $ !"
! !" ' $ !!" ! !%! " !& ! $%$ ! !&!
% !" " !& ! !" % !" ! !&!
!
#
!
#
"
#
!
#
!
#
!
#
! !" ' !! !"
! !" ' $ !!"
! !" ' !! !"
! !" ' !! !"
"
#
"#$%!$%!&#'!%$(&#!)*+,-.!$.!"/0+'!11232!!4%$.5!&#'%'!6'%,+&%7!8'!5'&!&#'!9+'0%)#:;*6</.!
&/0+'=!
j1 =1
j2 = 12
!
j
3
2
3
2
3
2
3
2
m
3
2
1
2
- 12
1
2
1
2
-2
1
2
- 12
0
0
3
m1
m2
1
1
2
1
0
0
0
1
- 12
0
1
0
0
0
1
2
0
0
0
0
- 12
0
0
-1
1
2
0
0
1
-1
- 12
0
0
0
3
2
3
2
3
3
-
2
3
0
1
0
3
0
0
0
0
1
0
1
3
2
3
0
!
!
1121>!!?*6!/!%@%&'-!8$&#!5$A'.!/.5,+/6!-*-'.&/!!1!/.<!!B7!&#'!/++*8'<!":)*-C*.'.&%!/6'!
!
!! ! ! "! "!! "! " !"!###!"! "! ! !"! "!
!
!$ ! ! "$ "!! "$ " !"!###!"! "$ ! !"! "$
"#'6'!/6'! " ! !" ! "# !#1!%&/&'%!D !!"! E!/.<! " ! !! ! "# !#B!%&/&'%!D !! "! E7!%*!&#'!.,-0'6!*F!
,.)*,C+'<!0/%$%!%&/&'%! !! !" "!"" ! !!"! !" "" !$%!&#'!C6*<,)&! ! ! # ! "" " "$ # ! "! " "$ 2!!G.!
&#'!)*,C+'<!0/%$%7!&#'!/++*8'<!H,/.&,-!.,-0'6%!/6'!
!
! ! "! " "" #! "! " "" ! !#!$$$!#! "! ! ""
# ! !!#!!! " !#!$$$!#!! ! !#!!
!
"*!F$.<!&#'!.,-0'6!*F!)*,C+'<!0/%$%!%&/&'%! !" 7!8'!%,-!*A'6!/++!C*%%$0+'!%&/&'%=!
!
!!
#! " #"
#! " #"
"
" "! ! " # "" " !$ !
" ! #! ! #" ! "
" ! #! ! #"
;'&!6$<!*F!&#'!/0%*+,&'!A/+,'!%$5.!0@!/66/.5$.5!!1!/.<!!B!%,)#!&#/&!!1!I!!B=!
!"##"#$%
%
##&#!%
!"#$%%$&'()*+',-$
#" " #!
!!!
!
"
#" " #!
""
" ! #" ! #!
"
"!
" ! #" ! #!
"#$!%&'!
"
!! !
!
!!!
! # ! " !$
!
"
()!*'(!
!!!
#" " #!
"
" ! #" ! #!
""
#" " #!
"
" ! #" ! #!
#" ! #! !"
#" ! #! !"
# #" " #!
& # #" " #!
&
" ! ! % " " ! " " ( " % " " ! " "(
$
' $
'
" !"
" !"
" !"
" !"
# # # " # $ # # " # " "$ # #" ! #! ! "$ # #" ! #! $ &
! !% " ! " !
!
(' " # #" " #! $ ! # #" ! #! ! "$
!
!
$
!
! # #" " #! $ # #" " #! " "$ ! # #" ! #! ! "$ # #" ! #! $ " # #" " #! $ ! # #" ! #! ! "$
!
! # #" #! " ! # #" " #! $ " # #" ! #! $ ! # #" ! #! ! "$ ! # #" #! " ! #" " ! #! " "
! # ! #" " "$ # ! #! " "$
!
++,+-! ! ."/(012'! 3+! 4"&! "#*%2"/! 5)5'#(%5! +! 6!+! 7! +8! "#$! 9"/(012'! 3:! 4"&! "#*%2"/!
5)5'#(%5!+;:!6!:!7!+;:8,!!
"8!<4'!9)&&0=2'!%#1)%92'$!="&0&!&("('&! !! !" "!"" !"/'>!
<4'/'!"/'!?!&("('&!@0(4!!+"7!+A!'"14!@0(4!"!$0BB'/'#(!#C9/)D'1(0)#>! !! 7!+AEAC+!
<4'/'!"/'!:!&("('&!@0(4!!:"7!+;:A!'"14!@0(4!"!$0BB'/'#(!#C9/)D'1(0)#! !! !7!+;:A!C+;:,!
<4'/'!"/'!F!9)&&0=2'!&("('&!0#!(4'!%#1)%92'$!="&0&!&("('&! !! !" "!"" ,!!!<4'&'!"/'!
!
! !" ! !"
! !" ! !!"
! !" # !"
! !" # !!"
! !" $ !! !"
! !" $ !! !!"
"
=8! ! G)/! "#H! "#*%2"/! 5)5'#(%5! "$$0(0)#A! (4'! 9)&&0=2'!
!! ! "! " "" !#! "! " "" ! !!#! "! " "" ! "!#!"! "! ! "" ,!!J#!(40&!1"&'A!@'!*'(!
!
I"2%'&!
"/'!
! ! "! !#! $" !
<4'!"22)@'$!I"2%'&!)B!$""/'!"2@"H&!K%!()!%A!*0I0#*!
!
! ! "! !#!!!" ! "! !$! %" !$! !%" !$! !!"
! ! %" !#!!!" ! %" !$! !%"
!
18!!<4'!1)%92'$!="&0&!&("('&!"/'!
!"##"#$%
%
##&#'%
!"#$%%$&'()*+',-$
!
! !
" "
! #
" "
# #
" "
# !#
" "
! !#
" "
! !!
" "
!
"#!!$%&'(!)*+!,-+.%/*0123"4'!54.-+!6678!(&9+%!
!
! !
" "
! # #" # #"
! #
" "
!
#
!
# #" # !#" "
! !#
" "
!
"
!
# #" $ !#" "
! !!
" "
! # #" % !# !#"
"
!
# #
" "
!
"
!
# #" # !#" !
# !#
" "
!
#
!
# #" % $ !#" !
# #" $ #"
#
!
# #" % !# #"
#
!
# #" $ #"
"
!
!
# #" % !# #"
!
6676:!!5*+!;4<&-)2'&4'!=32<!>?7!@667A#!&%! ! "#! ! $!"" ! ! 7!!5*+!%B&'!2=!)*+!"+C)+32'!&%!
!
! ! ! D!%2!)*+!4--2E+"!94-C+%!2=!)*+!/2CB-+"!4'(C-43!<2<+')C<! ! ! " " # !E&)*! ! ! ! " !=23!
)*+! +-+/)32'! 43+! ! ! !" # "$ 7! ! F2! )*+! /4-/C-4)&2'! &'! )*+! /2CB-+"! .4%&%D! -&G+! E+! "&"! &'!
>?7!@667:6#7!!5*+!*HB+3=&'+!;4<&-)2'&4'!=32<!>?7!@667:I#!&%!!
"
#
$
$
! "#! ! ! !"" ! ! # ! " ! ! " " ! !
!
!!
!
!
5*+!<4)3&J!+-+<+')%!43+!
"
" "
&
! !" !! ! ! " " ! " # ! !" !
!
!!
&
! ! #$ ! # ! " "$ " ' # ' " "$ " ( # ( " "$ %& ! ! ! !" !! !" ! !
!!
&
! #$ ! # ! " "$ " ' # ' " "$ " ( # ( " "$ %& ' ! !!' " !! " !
!
! !" !! # $%! !" ! !
!
!
K23!"+C)+3&C<D! ! ! ! D! ! ! ! " D!4'"! ! ! !" # "$ D!(&9&'(!)*+!"&4(2'4-!+-+<+')%!
!
!" ! # $%! !" !
# !
% " &#!!!! !
%
!$
% "&#!!!! !
%&
$
"
!
!
"
4'"!)*+!<4)3&J!
!"##"#$%
%
##&#'%
!"#$%%$&'()*+',-$
!
# $! "
"
"
"
"
%
"
"
"
$! "
% "
% "
"
"
"
$! "
! "#! ! %
"
"
"
$! "
% "
% "
"
"
" "$ "
%
"
"
"
" "$
$ "
!
&
(
(
(
(
(
(
(
'
#
!
$ !#
#
!
$ %!
#
!
$ "%!
#
!
$ "#!
%
!
$ %!
%
!
$ "%!
!
!
"#$!%&'!#()$*+,-$!.$/$.0!1*$!0).,%!2(!%#$!13'4-%!
!! !
!
!
"!
"
5'*!6$4%$*,43! !" ! !"#$% 7!8'3)1*$6!%'! ! " ! !"!# 9!!:$-8$7!+'*!6$4%$*,43!
!
!" !
#"
!"#$%
!% !
'()!"(!&%' ! )'%"#!&%' !
#$
$"$&
1-6!%#$!0).,%%,-;!,0!
!
!! !
!
"# ! !"#$#!$%& !
"
"#$!;*'4-6!0%1%$!#()$*+,-$!0%*48%4*$!'+!6$4%$*,43!,0!0#'&-!2$.'&9!
!
!
!
!
!
!
!
!"##"#$%
%
##&#'%
!"#$%%$&'()*+',-$
!!"!#$ $ %&$ '()$ (*+,-.)/$ )/),.*$ 0)1)02$ %,)$ .31)/$ 4*$ !" ! ! " ! #$ ! !" ! 5$ 6(),)$ 7()$ !$ 32$
,)%00*$7()$,)+89)+$:%22"$$;-,$<-237,-/38:5$7()$,)+89)+$:%22$
!!
!
"!""
"# "#
"
!
! #!
"! " "" "# " "#
"
32$%<<,-=3:%7)0*$(%0>$->$6(%7$37$32$3/$(*+,-.)/"$$?)/9)$7()$)/),.*$0)1)02$3/$<-237,-/38:$
%,)$(%0>$->$6(%7$7()*$%,)$3/$(*+,-.)/"$$?)/9)$7()$<-237,-/38:$.,-8/+$27%7)$)/),.*$32$
!! ! !
$
!"#$"#
! !$#&"# $
%
4&$$'()$8/9-8<0)+$4%232$27%7)2$%,)$ !"! !"" $
! ! !!!! ! ! !!!! ! ! !!!! ! ! $
$
'()$9-8<0)+$27%7)2$%,)$ !" $
&
(
!
(
!" !
"# " ! " ! " $% ' !"#$%&' !(')'&
#
(
$
()
!$ !! ! ! !
!
&
"" !
"# " ! ! ! " $% ' *#+,%&' !(')'&
#
)
!! ! " "
$
9&$$'()$(*<),>3/)$?%:307-/3%/$9%/$4)$6,377)/$%2$
! ! !
! ! !! " ! "
!
! ! " ! ! ! ! ! ! ! !
! !
! " ! !! " ! " ! !!" " ! "" " !! "! " " ! " "!! ! !!" " ! "" " "!! "! "
$
$
! !
! ! !
!! "! " ! !" ! " ! !!" ! ! "" ! !" " " # ! # ! " !$ ! $# $
! !
" " ! #!! "! " ! !" #" " # ! # ! " !$ ! $# $
!
#
#
$
$
'()$:%7,3=$3/$7()$9-8<0)+$4%232$32$
! !
! ! ! "!! "! " ! !" "" " # # # # " !$ "
#!
$
" %%
!! # " %
$ %%
%$ %
!
'()$:%7,3=$3/$7()$8/9-8<0)+$4%232$32$
"
!"##"#$%
% % & !!
% % ( !%
(
! % ( !& "!
% "#(' %%
%
!
%
%
%
#
"
$
$
##&$'%
!"#$%%$&'()*+',-$
! !
!! "! " ! !!" !" " " !!# !" # " !!$ !" $ !
!
!
"
# !!" !"! " !!! !"" $ " !!$ !" $
'
# )
% " ! & #$ !" # !!" !"! " !!! !"" $ " !!$ !" $ %& " & )
#)
)(
!
"
! $ $ $
$ !! " $
$ " !! $
$ $ $ !
*
,
,
,
,+
""
"! !
!"
!!
"#!!$%&'(!)*(!+,)-%.!%/!,0-(,"1!"%,23&,0!%&!)*(!'3450("!6,/%/7!8(!',&!4/(!)*,)!)3!2()!
! !
! ! ! "!! "! " ! !" "" " # # # # " !$ " "# $
!
# !$ ! ! ! #$ ! "" # # # # " !$ "
"
!
"
#
"
$#
#
## ! $$ !
!
$ " # "" " !!!!!# ! % !
& $
!%
!
"" " !!!!!# ! !
'& $
F=1
Aê4
1s 1
2
A
3Aê4
F=0
!
!
!
99:9;!!<(!*,=(!)83!5,-)%'0(/7!(,'*!8%)*!3-6%),0!,&240,-!+3+(&)4+!9!>!!! ! !"! # ! ! #!,&"!
/5%&! ,&240,-! +3+(&)4+! 9?@! > !! ! !" # !" ! !" #:! ! A3-! ,&1! ,&240,-! +3+(&)4+! ,""%)%3&7! )*(!
53//%60(!=,04(/!,-(!!! ! "! " "" !#! "! " "" ! !!#! "! " "" ! "!#!"! "! ! "" :!
,#! ! ! !! " !" B!!C3//%60(!=,04(/!,-(! ! ! !"#"$ !
6#! ! ! !! " ! " B!!C3//%60(!=,04(/!,-(! ! ! !"# !
'#!!D38!,""!)*(!)3),0!3-6%),0!,&240,-!+3+(&)4+!)3!)*(!)3),0!/5%&!,&240,-!+3+(&)4+!)3!
2()!)*(!)3),0!,&240,-!+3+(&)4+B ! ! " " # :!!E*(!53//%60(!=,04(/!,-(!
!
$ ! #
" ! !"# ! #
!
!"##"#$%
" ! #"# ! #
" ! %"# ! #
" ! !"# ! %
" ! #"# ! %
" ! %"# ! %
! # %
#
!
!
#
%
%
##&$#%
!"#$%%$&'()*+',-$
!"#$%$&"'('%#$%)*+,*%-$%./$$'0012-/*3'4$%&+/50#*6%#*%,"#&"%,'%7#4$8%-33%8+6'8"'4%-00%8"'%
#*3#9#3/-0%+4:#8-0%-*6/0-4%(+('*8-%8+%7+4(%-%8+8-0%+4:#8-0%-*6/0-4%(+('*8/(;%-*3%-00%8"'%
#*3#9#3/-0%+4:#8-0%-*6/0-4%(+('*8-%8+%7+4(%-%8+8-0%$5#*%-*6/0-4%(+('*8/(<%
3=%%>*%8"'%-08'4*-8'%$&"'('%+7%?1?%&+/50#*6;%,'%-33%#*3#9#3/-0%-*6/0-4%(+('*8-%8+6'8"'4%
7#4$8;% 8"'*% -33% -00% 8"'% 8+8-0$@% % A+4% '-&"% 5-48#&0'% ,'% -33% 8"'% +4:#8-0% -*3% $5#*% -*6/0-4%
(+('*8/(%8+6'8"'4<%
%
!! ! "! " #! %,#8"%% !! ! ! " !" ! "# $%&$!! ! ! ! !" ! !" %
%
! ! ! "! " # ! %,#8"%% !! ! " " "! ! !# $%&$!! ! " ! "! ! "! %
'=%%B+,%,'%-33%8"'%8+8-0%#*3#9#3/-0%-*6/0-4%(+('*8/(%7+4%'-&"%'0'&84+*%8+%7+4(%8"'%8+8-0%
-*6/0-4%(+('*8/(<% ! ! !! " ! " ,#8"%$'9'4-0%5+$$#:#0#8#'$%7+4%!"C'-&"%+7%,"#&"%"-$% !! ! "%
5+$$#:0'%$/:$8-8'$=@%%%
"! ! $ "# !
"
#
!
" # ! %
"! ! !# $ "# !
"
#
# !
"! ! $ "# !
!
#
# !
"! ! $ "# !
!
#
"
#
%%
"
#
!
#
%
! %
!"'%5+$$#:0'%9-0/'$%+7%!%-4'%8"'%$-('%-$%#*%C&=@%%D0$+%*+8'%8"-8%8"'%8+8-0%*/(:'4%+7%$8-8'$%
#$%8"'%$-('%#*%'-&"%$&"'(';%-$%#8%(/$8%:'@%
%
EE@EF%%!"'%-*6/0-4%(+('*8/(%+5'4-8+4$%#*%8"'%5+$#8#+*%4'54'$'*8-8#+*%-4'%C+4:#8-0%+*0G;%
$''%H4+:0'(%I@J=%
$
"
"'
!" ! #" & !"# !
! $%! ! $%& # )
%
"#
"! (
%
$
"
"'
! !"# ! $%& # )
!$ ! #" & * $%! !
%
"#
"! (
!
%
$+%8"'%0-33'4%+5'4-8+4$%-4'%
%
$
"
"'
!! " !" ! #!$ ! !" & %#!
! #%#! !"# # )
% "#
"! (
$
"
"'
* #%*#! !"# # )
!* " !" * #!$ ! *" & %*#!
%
"#
"! (
!
B+,%-&8%,#8"%8"'%4-#$#*6%+5'4-8+4<%
!"##"#$%
%
%
##&$$%
!"#$%%$&'()*+',-$
!!" !! # " " #
!
$
%& #
! '()* ! $ %"
!
&
%
%)
"$!!" !! # " " # $! ( #$"
$ $#$" ()+ ! +
' %!
%" *
!
# $!#$"
$
%& #
!
! '()* ! $ %""
!
$
%& #
!
& ()*! *,- ! # ! & $
%$
.#
()*! *,- ! #$"
!
"
"#$%&'!$()$!
!!" !! # " " # #
!
"$
%$
&'( ! )*&! "#" !
*+!(),+-!
"
#
! " " "! # " # $ ! $ "!% "! # " # !
! ! !
.(%/!%/!*()$!*+!+01+2$!34#5!$(+!4)%/%&'!#1+4)$%#&-!
!
!
! ! "# " " !
$ " $ " # !% ! # $ # ! !%% "" #
"
"
"
!!
!
!
! $# #$ " ! % #!
66789! ! :)4$%2;+! <6! ()/! /1%&! 6! =!6! >! 6?! )&@! 1)4$%2;+! <8! ()/! /1%&! 6A8! =!8! >! 6A8?7! ! B/+! $(+!
C;+D/2(EF#4@)&! 2#+33%2%+&$/! %&! .)D;+! 667G! $#! 3%&@! $(+! 2#H1;+@! /$)$+/! %&! $+45/! #3! $(+!
H&2#H1;+@! /$)$+/7! ! .(+! /$)$+! *%$(! $#$);! /1%&! !! )&@! "E2#51#&+&$! !!! ! ! %/! %&! $(+! /%0$(!
2#;H5&!%&!$(+!$)D;+!%&!$(+!$+0$-!
!
! !
! "!
" "
!
!
#
! !" $ % "!" "
"
#
! !" $ "! !" !
.(+!1#//%D;+!5+)/H4+5+&$/!#3!$(+!"E2#51#&+&$!#3!$(+!/1%&!#3!1)4$%2;+!6!)4+! !!!"!#!"!!!! I!
*(%2(!2#44+/1#&@!$#! !! ! "!"!#"!!! 7!!.#!3%&@!$(+!14#D)D%;%$J!#3!)&J!#&+!4+/H;$!*+!5H/$!
/H5! #,+4! );;! $(+! 1#//%D;+! 4+/H;$/! #3! $(+! /1%&! 2#51#&+&$! #3! 1)4$%2;+! 8I! *(%2(! )4+! #3!
!! !"!!! ! ! !=2#44+/1#&@%&'!$#! !! ! "" !#!!" ! ?7!!.(H/!*+!'+$!
!"##"#$%
%
##&$'%
!"#$%%$&'()*+',-$
P!! !"! !
!#
"
!# !!! #
"
P!! !% !
!
"
!# !!! #
P!! !%"!# !
!#
"
!
!
#
! %!#
!# !!! #
P!! !!! !
!#
"
!# !!! #
#
"
!# !!! #
"! ! !" "# !
"
"
#
!
#
! %
!#
"
!# !!! #
#
! !# " !!!#
!!
#
!
#
$
! " !!
!
#
! !# " !! !#
#
$
$
#
!%
!
#
$
!
$
! !# " !! !#
#
$
!
#
!
$
#
! !# " !!!# #
! !# % !!# !
!
$
! !# % !!# !
!
$
#
#
! !# %!# #
!# !!! #
!
$
#
! !# !!#
!# !!! #
!! ! "!" !# #
!
#"
!#
!
!#
P!! !!!"!# !
!#
!
!# !!! #
! !# !!# #
!# !!! #
!#
"
P!! !"!"!# !
!#
!
!#
#
!
#
$
"#$!%#&$$!'&()*)+,+%+$-!*..!%(!/0+%12!*-!%#$1!3/-%4!!"#$!'&()*)+,+%+$-!(5!%#$!3$*-/&$3$0%!
(5!%#$!-'+0!6(3'(0$0%!(5!'*&%+6,$!7!*&$!
P!! !"" ! !
!
"
"P
!" !!"
"
"
!" !!"
!
P!! !!" ! !
!
!" #!! !"" !
"P
"
"
!" !!"
!" #!! !!" !
" "! !" !"!
"
"
!" !!"
" "! !" "! #
"
!" !!"
!
!
!
!
"
!" !!"
"
"
$
"
!#
"
"
!" !!"
#
"" ! "# "! !
"
!
" "! !" "!
#
!
!" # !! ! " !#" #
"
$
" "! % !"! !
!
$
" "! # !" "!
$
!
!
!
$
!
!"
" !
" !
" "! % !"! !
#
!
$
!
" "! # !" "!
$
!
!
"
$
89*+02!%#$!%#&$$!'&()*)+,+%+$-!*..!%(!/0+%12!*-!%#$1!3/-%4!
!
!
::47:!!;*&%+6,$!<:!#*-!-'+0!:=7!!>!:!?!:=7@2!'*&%+6,$!<7!#*-!-'+0!:=7!>!7!?!:=7@2!*0.!'*&%+6,$!
<A!#*-!-'+0!:=7!>!A!?!:=7@4!
*@!"(!5+0.!%#$!'(--+),$!/06(/',$.!)*-+-!-%*%$-! !!!" !# "!"" "# !0(%$!%#*%B!
"#$&$!*&$!7!-%*%$-!C+%#!!:"?!:=72!$*6#!C+%#!*!.+55$&$0%!#D'&(E$6%+(0! !! !?!:=72!D:=74!
"#$&$!*&$!7!-%*%$-!C+%#!!7"?!:=72!$*6#!C+%#!*!.+55$&$0%!#D'&(E$6%+(0! !! !?!:=72!D:=74!
"#$&$!*&$!7!-%*%$-!C+%#!!A"?!:=72!$*6#!C+%#!*!.+55$&$0%!#D'&(E$6%+(0! !! !?!:=72!D:=74!
"#$&$!*&$!F!'(--+),$!-%*%$-!>7A@!+0!%#$!/06(/',$.!)*-+-!-%*%$-! !!!" !# "!"" "# 4!!!"#$-$!*&$!
!
!"##"#$%
! ! ! ! ! !
" " " " " "
! ! ! ! !! !
" " " " " "
! ! ! ! ! !!
" " " " " "
! ! ! ! !! !!
" " " " " "
! ! ! !! ! !
" " " " " "
! ! ! !! !! !
" " " " " "
! ! ! !! ! !!
" " " " " "
! ! ! !! !! !!
" " " " " "
%
"
##&$'%
!"#$%%$&'()*+',-$
!"##$%&#'()&(*%&+#'(,(&#-.(%#/,0./,1#2)34&*(.35'#.'#
! ! ! ! ! !
" " " " " "
#
#
$%.'# .'# (%&# '(,(&# !! ! !" # !" ! !" # !$ ! !" # " ! "$ # # !
%,8&#
! !
" "
#
!
$
"
!
# # # # # #
" " " " " "
$ $
" "
# .5# (%&# *3621&+# !,'.'7# '3# -&#
!
92&),(&#35#(%.'#'(,(&#-.(%#(%&#13-&).5:#32&),(3)# !! ! !!! " !"! " !#! #;3)#(%&#$9$<=#'2.5#
(3#:&5&),(&#(%&#5&0(#&.:&5'(,(&#3;#(%&#(3(,1#'2.5#,5+#(3(,1#"#2)34&*(.35$##$3#:&(#(%&#;,*(3)'#
).:%(7#-&#/6'(#+3#(%&#32&),(.35#.5#!3(%#!,'&'>#
!!
! !
" "
! # !#! " !"! " !!! $
! !#!
#
!
"
$ "! " #% ! "! $ "! ! #%!
! #
" "
!
!
! #
" "
!!
#"
&
#
"
# # # # # #
" " " " " "
" !"!
# # # # # #
" " " " " "
# # # # # #
" " " " " "
$ #" " #% ! #" $ #" ! #%!
"!
# # # !# # #
" " " " " "
" !!!
# # # !# # #
" " " " " "
"!
# # # # !# #
" " " " " "
"!
# # # # # #
" " " " " "
# # # # !# #
" " " " " "
! #
" "
!
! !#
" "
#$
%
#
! # !#! " !"! " !!! $
!
#
!
# "!
#
# # # # !# # #
! " " " " " "
# # # !# !# #
" " " " " "
" "!
"
" "!
#
# # # # # !#
" " " " " "
# # # # # !# #
! " " " " " "
# # # !# # !#
" " " " " "
# # # # # !#
" " " " " "
# # # # # !#
" " " " " "
! #
# # # # !# # #
# # # # # !# #
#
" " !
! " " " " " " "
! " " " " " " "
!
!
$3#:&(#(%&#5&0(#'(,(&7#32&),(&#-.(%#(%&#13-&).5:#32&),(3)#,:,.5?#
!!
"!
"
# # # # # # !#
! " " " " " "
# # # # !# !#
" " " " " "
$
$
#
! !#
# # # # !# !# #
# # # # !# # !#
# # # # # !# !#
" " !
! " " " " " " "
! " " " " " " "
! " " " " " "
!
$3#:&(#(%&#5&0(#'(,(&7#32&),(&#-.(%#(%&#13-&).5:#32&),(3)#,:,.5?#
!!
! !#
" "
! # !#! " !"! " !!! $
!
! !!
" "
!
#"
$
#
#
!
#!
# # # !# !# !#
" " " " " "
#
!
#
# # # !# !# #
" " " " " "
"!
"
# # # !# !# !#
" " " " " "
# # # !# # !#
" " " " " "
"!
"
# # # # !# !#
" " " " " "
# # # !# !# !#
" " " " " "
$
$
#
! !!
# # # !# !# !#
" " ! " " " " " "
!
$%.'#.'#(%&#3223'.(&#'()&(*%&+#'(,(&7#,'#&02&*(&+>##@3-#-&#/6'(#6'&#(%&#3)(%3:35,1.A,(.35#
'(&2#(3#;.5+#'(,(&'#-.(%#(%&#5&0(#13-&)#8,16&#3;#(%&#(3(,1#'2.5#%>##$%6'#-&#&02&*(#(%,(#(%&#
*3621&+# '(,(&# !" !" # .'# 3)(%3:35,1# (3# ,5+# .'# *3/23'&+# 3;# (%&# ',/&# 65*3621&+# '(,(&'# ,'#
*3621&+#'(,(&# "! #" >##$%.'#:.8&'#
!!
" $ $ $
# # # #
# !
$
"
#
!
$
"
#! " " " #$
$ $ $ !$ $ $
# # # # # #
"
$ $ $ $ !$ $
# # # # # #
"
$ $ $ $ $ !$
# # # # # #
$# !
$ $ $ !$ $ $
# # # # # #
""
$ $ $ $ !$ $
# # # # # #
"#
$ $ $ $ $ !$
# # # # # #
$#
B6(# (%&)&# ,)&# (%)&&# 65C53-5'# ,5+# 351D# (-3# &E6,(.35'# F.5*16+.5:# (%&# 53)/,1.A,(.35#
&E6,(.35">##$%.'#,/!.:6.(D#.'#,1'3#)&;1&*(&+#.5#(%&#;,*(#(%,(#-&#5&&+#(3#;.5+#G#*3621&+#!,'.'#
'(,(&'7#!6(#(%&#2)3*&+6)&#-&#,)&#;3113-.5:#-361+#351D#2)3+6*&#H#/3)&#F !" !" #,5+# !" !!" "#
!"##"#$%
%
##&$'%
!"#$%%$&'()*+',-$
!"#$%&'# (#)!%!')*## +"# )",-'# !.'#%$/0120!3#%45# 67"528'# 9#$"7'# )!%!')#:'#4''5#!"#;045#9#
)!%!')#!.%!#%7'#"7!."1"4%,#!"# "! #" #%45#!.'4#%8!#:0!.#!.'#,":'7041#"6'7%!"7#!"#1'4'7%!'#!.'#
"!.'7#9#)!%!')*##+.'7'#%7'#50;;'7'4!#:%3)#!"#5"#!.0)#%45#!.'#)",2!0"4#0)#4"!#240<2'#=0!#0)#,0&'#
)6'80;3041#!.'#!>%?0)#%45#!.'4#%)&041#:.'7'#!.'#">#%45##>%?')#%7'@*##A'#:0,,#2)'#B7%$>
C8.$05!#"7!."1"4%,0D%!0"4E#:.08.#)%3)#3"2#8%4#$%&'#%4#"7!."4"7$%,#/%)0)#/3#8."")041#
%7/0!7%73# F!70%,F# )!%!')# %45# !.'4# $%&041# !.'$# "7!."1"4%,# !"# %,,# 67'-0"2),3# 5'!'7$04'5#
)!%!')#/3#)2/!7%8!041#";;#!.'#67"G'8!0"4)#%,"41#!.'#67'-0"2)#/%)0)#)!%!')*##H4#"27#8%)'E#:'#
%,7'%53#.%-'#"4'#/%)0)#)!%!'#8"$670)041#!.'#!.7''#248"26,'5#)!%!')E#)"#:'#!73#%#!70%,#)!%!'#
;"7#!.'#)'8"45#"4'#
! !"#$% !
#
! ! ! "! ! !
" " " " " "
#
%45#!.'4#)2/!7%8!#";;#!.'#67"G'8!0"4#%,"41#!.'#67'-0"2)#/%)0)#)!%!'#
! !"# ! ! $%&'( " ! ! ! ! ! $%&'(
!
#
"
! ! ! "! ! !
" " " " " "
!
#
#
!!!!!!!!!!!!!!!!!!!!!!!!!!!!"
!
!
!
" !# #
! ! ! "! ! !
" " " " " "
" ! ! ! "! ! !
# " " " " " "
" !#
"
! ! ! "! ! !
" " " " " "
!
#
#
! ! ! "! ! !
" " " " " "
"
! ! ! "! ! !
" " " " " "
"
! ! ! ! ! "!
" " " " " "
! ! ! ! "! !
" " " " " "
! ! ! ! "! !
" " " " " "
" !#
! ! ! ! "! !
" " " " " "
"
! ! ! ! "! !
" " " " " "
"
"
$"
! ! ! ! ! "!
" " " " " "
! ! ! ! ! "!
" " " " " "
$
$
! ! ! "! ! !
" " " " " "
#
! ! ! ! ! "!
" " " " " "
I2!#!.%!J)#4"!#4"7$%,0D'5*##+.'#4':#4"7$%,0D'5#)!%!'#0)#
!! !
#
" "
! ! !
!
"
! " " " "" " "
# ! ! ! ! ! !
" " " " " "" "
# ! ! ! ! ! !
"
" " " " " " ""
# ! ! ! ! ! !
#
+.0)#:"2,5#/'#50;;'7'4!#0;#:'#.%5#8.")'4#%#50;;'7'4!#!70%,#)!%!'*##K":#;045#!.'#!.075#)!%!'#
/3#8."")041#%#4':#!70%,#)!%!'#%45#)2/!7%8!041#";;#!.'#67"G'8!0"4)#%,"41#!.'#67'-0"2)#!:"#
/%)0)#)!%!')L#
! !"#$% !
! ! ! ! "! !
" " " " " "
! &'( ! ! !"#$% " ! ! ! ! ! !"#$% " ! " ! " ! !"#$%
!
! ! ! ! "! !
" " " " " "
"
!
#
#
!!!!!!!!!!!!!!!!!!!!!!!!!!!!"
#
!!!!!!!!!!!!!!!!!!!"
#
! ! ! ! "! !
" " " " " "
" !# #
!!!!!!!!!!!!!!!!!!" !$ # "
! % !" !" !" "!" !" !" " !"
!
K"7$%,0D041#!.0)#10-')#
#
!"##"#$%
!
#
#
#
"
$
"
"
"
! ! ! ! "! !
" " " " " "
" !"
" "
# # !
!
"
! ! ! ! ! "!
" " " " " "
! ! ! ! "! !
" " " " " "
!
$
"
"
! ! ! ! "! !
" " " " " "
"
"
$"
! ! ! ! ! "!
" " " " " "
! ! ! ! ! ! "!
$ " " " " " "
! ! ! ! "! !
" " " " " "
! ! ! ! "! !
" " " " " "
! ! ! "! ! !
" " " " " "
!! !
"
! ! ! ! ! "! !
$ " " " " " "
! ! ! "! ! !
" " " " " "
! ! ! "! ! !
" " " " " "
"
! ! ! ! "! !
" " " " " "
! ! ! "! ! !
" " " " " "
" ! ! ! "! ! !
$ " " " " " "
!!!!!!!!!!!!!!!!!!!!!!!!!!!!"
!
"
! ! ! "! ! !
" " " " " "
"
!
$
! ! ! ! ! "!
" " " " " "
! ! ! ! ! "!
" " " " " "
$
$"
! ! ! ! "! !
" " " " " "
! ! ! ! ! "!
" " " " " "
$
$
#
$
! ! ! ! "! !
" " " " " "
! ! ! ! ! "!
" " " " " "
" " " " " "" "
# # # # # # #
%
"
" " " " " " ""
# # # # # # #
#
##&$!%
!"#$%%$&'()*+',-$
!"#$%#&'()*#"+)"# ! ! #),-# ! ! #./"+#+)0(#"/")'#%1$,#1*/2(&"$/,#!3##!"#"4*,%#/4"#"+)"#"+(5#)'%/#
./"+# +)0(# "/")'# %1$,# !6# 7+$&+# 5/4# &),# %+/7# .5# )&"$,8# 7$"+# ! ! 3# # 9/7# )&"# 7$"+# "+(#
'/7(*$,8#/1(*)"/*#/,#"+(%(#"/#%")"(%#"/#8(,(*)"(#"+(#')%"#"7/#%")"(%:#
#
! # !!! " !"! " !#! $
!!
! !
" " "
!
! !!
" " "
!
!
$
! !!
" " "
!
! ! ! ! !! !! !
$ " " " " " "
!
#!
#
" ! ! ! !! ! !
$ " " " " " "
"!
! ! ! !! !! !
" " " " " "
"
!
! ! ! !! ! !!
" " " " " "
! ! ! ! !! ! !!
$ " " " " " "
!
! ! ! ! ! !! !
$ " " " " " "
! "!
!
! ! ! ! !! !!
" " " " " "
! ! ! ! ! ! !!
$ " " " " " "
$
$
#
" ! ! ! ! !! !!
$ " " " " " "
),-#
#
! # !!! " !"! " !#! $
!!
! !
" " "
!
! !!
" " "
!
!
"
! !!
" " "
!
! ! ! ! !! !! !
" " " " " " "
!
#!
#
! ! ! !! !! !
" " " " " "
!
!
! ! ! ! ! !! !
" " " " " " "
!!
$
! ! ! !! ! !!
" " " " " "
! ! ! ! ! ! !!
" " " " " " "
$
#
! ! ! ! !! ! !!
" " " " " " "
&;##<+(#=),$>/'-#/>#%")"(%#$%#
†
33
†
31
†
3 -1
†
3 -3
22
22
\
\
2 2
2 2
\
†
11
†
1 -1
22
\a
2 2
\a
†
11
†
1 -1
22
\b
2 2
\b
\
#
#
#
),-#"+(#?'(.%&+@A/*-),#").'(#>/*#"+$%#%5%"(=#B7$"+#/4*#)*.$"*)*5#&+/$&(%;#$%#
!"##"#$%
%
##&$'%
!"#$%%$&'()*+',-$
s1 = 12
s2 = 12
S
3
2
3
2
3
2
3
2
1
2
1
2
1
2
1
2
M
3
2
1
2
- 12
- 32
1
2
- 12
1
2
- 12
0
0
0
0
0
0
0
0
0
s3 = 12
!
m1
m2
m3
1
2
1
2
1
2
1
- 12
1
2
1
2
0
1
0
0
2
0
1
2
- 12
1
2
0
1
0
0 -
1
0
1
0
1
2
1
2
- 12
0
1
0
0 -
1
0 -
1
0
- 12
- 12
1
2
0
0
1
0
0
1
0
1
- 12
1
2
- 12
0
0
1
0
0
1
0 -
1
1
2
- 12
- 12
0
0
1
0
0
2
0
0
- 12
- 12
- 12
0
0
1
0
0
0
3
3
3
3
3
3
0
6
6
6
6
6
-
6
0
2
2
2
2
!
!
!
!
!"##"#$%
%
##&$'%
!"#$%&$'()*+,(-.$
!"#!$ $ %&$'()*&+$,-$ .(/01&2$3$1(/1$1(&$4/05/6,/-$ )0&2/1)2$1(/1$2&02&'&-1'$1(&$'78/2&$)9$
1(&$:):&-18:$6/-$;&$*2,11&-$,-$1&2:'$)9$1(&$/-<85/2$:):&-18:$/'$='&&$>7#$?3#3!@A$
*# #$ #'
"
#
" " ! !#"" # !" "" " # !" " , " & $ " ) ! " " "" / $
+ $ #$ % #$ ( " $
.
!
B'&$1(,'$1)$9,-+$1(&$6)::81/1)2$)9$ ! ! $*,1($1(&$/-<85/2$:):&-18:$)0&2/1)2$ !! $,'$$
!
$
"
'
!$ &' &*
#*
$
! " " #"" # ! ) %" " - " ) # " , % " " "" ., ""
"
$
(
" # &# ( &# + " #
$+
'
!$ &' &*
#*
$
!!!!!!!!!%"" ) %" " - " ) # " , % " " "" ., $
(
" # &# ( &# + " #
$+
$
! %" "
$ &' " &* "
$ &' &*
" ! " """ " ) # " ,
#
"
)
,
# &# ( &# +
# &# ( &# +
!
! $ (/'$ +&2,C/1,C&'$ )-5D$ *,1($ 2&'0&61$ 1)$ /-<85/2$ C/2,/;5&'E$ ')$ ,1'$ )2+&2$ *,1($ 2&'0&61$ 1)$
2/+,/5$C/2,/;5&'$6/-$;&$6(/-<&+E$<,C,-<$
!
$ &' &*
$ &' &*
! " " #"" # ! %" " " ) # " , "" ! " " " ) # " , "" " % E$
"
$
# &# ( &# +
# &# ( &# +
!
')$ 1(&D$ 6)::81&#$ F,:,5/25DE$ 1(&$ 6)::81/1)2$ )9$ ! ! $ *,1($ 1(&$ /-<85/2$ :):&-18:$
6):0)-&-1$)0&2/1)2$ !" $,'$?8'&$ !" !! " !" #$ ! # @$
$
'
!$ &' &*
#*
$
! " " # #$ # ! ) %" " - " ) % " , % " " "" ., #$
"
$
(
" % &% ( &% + " %
$+
$
'
!$ &' &*
#*
$
!!!!!!!!!% #$ ) %" " - " ) % " , % " " "" ., $
(
" % &% ( &% + " %
$+
! %" "
$ &' " &*
$ &' &*
#$ ! #$ " " " ) % " ,
%
"
)
,
% &% ( &% +
% &% ( &% +
!
!" $(/'$+&2,C/1,C&'$*,1($2&'0&61$1)$/-<85/2$C/2,/;5&'$)-5D$? ! @E$')$,1G'$)2+&2$*,1($2&'0&61$1)$
2/+,/5$C/2,/;5&'$6/-$;&$6(/-<&+E$<,C,-<$
$ &' &*
$ &' &*
! " " # #$ # ! %" " " ) % " , #$ ! " " " ) % " , #$ " % $
"
$
% &% ( &% +
% &% ( &% +
!
')$1(&D$6)::81&#$$H)*$*&$I-)*$1(/1$$
$
! " " #"" # ! $
"
$
$
$
"
! " # #$ # ! $
$
!"
B'&$1(&'&$1)$9,-+$1(&$6)::81/1)2'$*,1($ ! ! J$
!"##"#$%
%
#$&#%
!"#$%&$'()*+,(-.$
! " " #"$ # ! " ""$ % "$ " " ! " $ " $"$ % "$ " $ " $ ! " $"$ " $ % "$ " $ " $ ! "$ " $ " $ % "$ " $ " $ ! %
"
$
!
!
"
! " # #$ # ! " " #$ % #$ " " ! " $ " $ #$ % #$ " $ " $ ! " $ #$ " $ % #$ " $ " $ ! #$ " $ " $ % #$ " $ " $ ! %
$
!"
!
"#$#! ! !!"" ! %&! '%()*+(,! %+! -./! 0*12,/'! 3(&%&! 3/0(1&/! -./! *2/4(-*4&! !#5! "#5! (+'! ##! (4/!
'%()*+(,!%+!-./!0*12,/'!3(&%&$!!6./! ! ! ! !&-(-/!.(&!7!&-(-/&$!!8&%+)!9:$!;"#$<=>!
!"" !
!
?/!(44%@/!(-!-./!'%()*+(,!7A7!B(-4%A!
!
!
!
"
"#
"
#
! !" ! " " 5!
" "! !
"
"
"
"
$
!
"
"
"
" !
$ "
$
!
"
"
"
" !
$ "
!
$
"
"
"
" !
!"" ! $ "
$ "
"
"
"
!#" !
$
"
"
"
"
$ "
$ "
"
"
"
"
$
"
"
"
"
# "
!
"
"
"
"
"
"
"
"
"
!#" !
"
"
"
"
"" !
"
%
'
" '
'
" '
" '
'
" '
'
" '
" '
'
"" ! &
"
#$ #! $ !% $ !%
#$ #! $ !% $ #!
#$ #! $ !% $ !#!
#$ #! $ !% $ !%!
#$ #! $ #! $ #!
!
#$ #! $ #! $ !#!
"$ #! $ #! $ #!
"$ #! $ #! $ !#!
?./4/!?/!,(3/,!-./!4*?&!?%-.! !!"# " $!
!
!!"" !%&!+*-!'%()*+(,!%+!-./!1+0*12,/'!3(&%&!3/0(1&/!-./!(+)1,(4!B*B/+-1B!,(''/4!
*2/4(-*4&!0*++/0-!('C(0/+-!&-(-/&5!C1&-!(&!?/!D*1+'!D*4!-./! !!"" !B(-4%A!%+!9:$!;""$<7>!D*4!
-./!.E2/4D%+/!&-410-14/!0(,01,(-%*+$!!8&/!9:$!;"#$FG>H!
!!"" !
!
!
"
# !" "! " !! "" $ " !# "# !
6./!,(''/4!*2/4(-*4!B(-4%0/&!(4/!D*1+'!1&%+)!9:$!;""$#<>H!
#%&
! "! # " " ! "# "" " # #$ ! # " "# " ! #$ $%
!!
I*4!/A(B2,/5!-./!B(-4%A!/,/B/+-&!*D! !! !(4/H!
!
"! # " ! # $!
!!"#!! #"! $! !!"#! #" " !!"#!! #"! " # !!! ! "# " #! !#! ! "#$
"$%
!
" " # !!! ! "# " #! !#! ! "#$
"$%
!!"& #! ! "& #"
!!"#!! #"! !!"& #! ! "& #" !
" " # !!! ! "# " #! !#! ! "#$ # #!! &#! !"# #"! &#"
"$%
!
6.1&!-./!B(-4%A!4/24/&/+-(-%*+!*D! !! !%+!-./!1+0*12,/'!3(&%&!%&H!
!"##"#$%
%
#$&$%
!"#$%&$'()*+,(-.$
#$ #" $#$ #"
$
! ! !
!
!
!
! !
""
& #$ #" $#$ '#"
#
!
!
! ! &
!
""
# ! !
#
#
& #$ " $ !$ "
#
!
!
!
!
""
!
!
!
& #$ # $ !$ '#
#
"
"
!
!
!
"" ! ! &
!! ! # ! !
!
!
& #$ #" $ '#$ #"
#
!
!
!
!
! ! &
# ! !
#
'#
# ! !
!
!
!
!
! ! & #$ " $ '#$ "
# ! !
!
!
!
!
! ! & !$ #" $ !$ #"
&
#
!
!
!
!
! ! % !$ # $ !$ '#
" ! !
"
"
!
"#$%$!"$!&'($&!)#$!%*"+!",)#! !!!"! "! -!!.,/$",+$0!)#$!1')%,2!%$3%$+$4)'),*4!*5! !! !,4!)#$!
647*63&$8!('+,+!,+9!
!
#$ #" $#$ #"
" !
!
!
!
! ! ! ! %
#
!#
$ !
!
!
!
! ! ! ! ' #$ " $#$ "
'
$
#
#
!
!
!
! ! ! ! ' #$ " $ !$ "
$ ""
'
$
#
!#
!
!
! ! ! ! ' #$ " $ !$ "
!
""
!! ! $
!
!
#
#
$ !
!
! ! ! ! ' #$ " $ !#$ "
!
""
'
$
#
!#
!
!
"" ! ! ! ! ' #$ " $ !#$ "
$ !
$ !
!
!
!
! ! ! ! ' !$ #" $ !$ #"
'
$
!
!
!
! ! ! ! & !$ # $ !$ !#
# !
"
"
!
:#$!1')%,2!%$3%$+$4)'),*4+!*5! !! !'48! !! !,4!)#$!647*63&$8!('+,+!'%$9!
!
!
#
#
#
#
!! ! #
#
#
#
#
"
!
!
!
!
!
!
!
!
"
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
"
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
"
!
!
!
!
!"##"#$%
%
!
!
!
!
!
!
!
!
!
!
!
!
!
!
"
!
$
&
&
&
&
&
&
&
&
&
%
"# "$ #"# "$
"# "$ #"# '"$
"# "$ # !# "$
"# "$ # !# '"$
"# "$ # '"# "$
!
"# "$ # '"# '"$
!# "$ # !# "$
!# "$ # !# '"$
#$&'%
!"#$%&$'()*+,(-.$
"
$
$
$
$
!! ! $
$
$
$
$
#
!
!
"
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
"
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
"
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
!
"
!
!
!
!
!
!
!
!
"# "$ #"# "$
%
'
'
'
'
'
'
'
'
'
&
"# "$ #"# !"$
"# "$ # !# "$
"# "$ # !# !"$
"# "$ # !"# "$
!
"# "$ # !"# !"$
!# "$ # !# "$
!# "$ # !# !"$
!
"#$!!%&'()'*$*+!(,+-.&$/!,-$!'0+,.*$1!02!.*/)$&+.'*!'3!+#$!$.4$*5,67$!$87,+.'*/9!
!
"
$
$
$
$
!" ! $
$
$
$
$
#
"
!
!
!
!
!
!
!
!
"
!
!
!
!
!
!
!
!
!
!
!
!
!
!
! !
! ! !
! !
! ! !
! !
! ! !
! !
! ! !
! !" ! ! !
! ! !" ! !
! !
! ! !
! !
! ! !
!
%
'
'
'
'
'
'
'
'
'
&
"# "$ #"# "$
"# "$ #"# !"$
"# "$ # !# "$
"# "$ # !# !"$
"# "$ # !"# "$
"# "$ # !"# !"$
!# "$ # !# "$
!# "$ # !# !"$
" " !
"
"
"
"
"
"
" %
'
$
"
"
"
"
" '
$ " !" ! "
$ "
"
"
"
"
" '
"
" !
'
$
"
"
" '
"
" !" ! "
$ "
!
!" ! $
"
"
" ''
"
"
"
" !
$ "
$ "
" '
"
"
"
" !" ! "
'
$
" '
"
"
"
"
"
" !
$ "
$ "
"
"
"
"
"
" !" ! '&
#
!
:70/+.+7+.*4!.*+'!!!"" ! !" # !" "! " !! "" $ " !# "# ;!<$!'0+,.*!+#$!-$/76+!!
!"##"#$%
%
!
#$ #! $#$ #!
#$ #! $#$ !#!
#$ #! $ "$ #!
#$ #! $ "$ !#!
#$ #! $ !#$ #!
!
#$ #! $ !#$ !#!
"$ #! $ "$ #!
"$ #! $ "$ !#!
#$&'%
!"#$%&$'()*+,(-.$
!
" "! !
"
$
$ "
!" ! !
$
"! !
$ "
$
"
!"" ! $ "
$
"
$ "
$ "
"
$
"
$ "
$# "
"
!
"
"
"
"
"
"
"
"
"
"
"!
!
"
"
!
"!
!
!
!" !
!
"
"
"
"
"
"
"
"
"
" " %
'
"
" " '
'
"
" " '
'
"
" " '
'
"
" " '
"! ! " " '
'
"
" " '
"
" " '&
"
#$ #! $#$ #!
#$ #! $#$ !#!
#$ #! $ "$ #!
#$ #! $ "$ !#!
#$ #! $ !#$ #!
!
#$ #! $ !#$ !#!
"$ #! $ "$ #!
"$ #! $ "$ !#!
!
"#$%!!&'()'!*+',!',-!)-./0'.!+1!',-!'-2'!345.$!6"#$%78!(19!6"#$:;8<!
!!"
!!"
! !"#!" # !$%&
$ !'(
!
#
!
! " # + ! + $ !" " ! ! ! $ !" " "$ ! " # #
$ &
! )*
"
!
)*
"
!
%
$
" (
!
, $! ! ! $ !# " ! ! $ !"
"
#
$ , ! ! $ # " ", '
#
! " # ) + ! + $ !" " ! ! ! $ !" " "$
#
$ ! )* *
"
$
.
$
!
"
, $ ! ! $ !# " #, " ,/
,+ , ! ! ! $ # " ! ! $ !"
!
=>*!')-('!',-!'*>!?>..+@0-!A(.-.!!! ! ! " ! " !.-?()('-0B$!!C+).'D!!! ! ! " ! " D!.>!!! ! ! ! ! " E!
# & ! & $ !" " ! & " !# " ! & $ !# " " "$
!
#
$ '
! !"#!" # ! " $% # $
" $ $ "(
$
!
!
' ! & " #" &! & $ #"
"
' & #' )&
%&
#
$ '
! " ##
! & " !# "
! $% $ $
" $ $ "(
!
!
"
%& ' ! & " # " & ! & $ # " ' & #' &)
!
$ ' ! " # # "# &
$ '
! " # #! " # ! & $ !# "
$ " ( # ! $% $ $
$ "(
# ! $% $ $
!
!
"
%& ' & ! & $ # " #' )& "
%& ' & ! & $ # " #' )&
#
!
! # !
$ '
!
"
# " ! " $% # $ $
(
!
' % & $ # "' )
#
=-2'D!A>1.+9-)!!! ! ! ! ! " D!.>!!! ! ! " ! " E!
!"##"#$%
%
#$&'%
!"#$%&$'()*+,(-.$
! !"#!" #
#
!
! " # # & ! & $ !" " ! & $ !# " ! & $ #$ " " "$
#
$ '
! $% $
" $
$ "(
$
!
$
"
' ! & $ !" #' )&
%& ' ! & $ # " ! & $ !" ! & $ # "
#
$ '
! " ##
! " & " #$ "
! $% $ $
" $
$ "(
!
$
"
%& ' ! & $ # " ! & $ !" ! & $ # " ' ! & $ !" #' )&
# "! " # ! & $ !# "
# ! "# & " # "
$ ' !
$ '
!
$ " ( # ! " $% # $ $
$ "(
# ! " $% # $ $
!
!
"
%& ' ! & $ # " ! & $ !" #' )& "
%& ' ! & $ # " ! & $ !" #' )&
!
! # !
$ '
!
"
# " ! " $% # $ $
(
!
' % & $ # "' )
#
"#$%!&'()(!*+,)!$%)!('-)!.)(/0$1!2+$%!3#!4+,).*)3&)5!
!
6758!!9%)!:))-'3!;).$/.<'$+#3!='-+0$#3+'3!+(!
"
" #
! "! ! " !"" ! # $ $" # # $%$ %"" ! # $ $" &' # $% (' % !
!
!
!
!
9%)! /3&#/;0)4! <'(+(! ($'$)(! ! !!"#! #" ! '.)! )+*)3($'$)(! #>! $%)! &#--/$+3*! #;).'$#.(!
! ! "!!# "!" # "!"# "!$%&!$# ! 2%+0)! $%)! &#/;0)4! <'(+(! ($'$)(! !!"#$ # ! '.)! )+*)3($'$)(! #>! $%)!
!
&#--/$+3*! #;).'$#.(! ! ! "!!# "!" # "!# # "!$%&!" # 5! ! ?;).'$#.(! '.)! '02'@(! 4+'*#3'0! 2%)3!
.);.)()3$)4!+3!$%)+.!#23!<'()(1!(#! ! ! "!!# "!" # "!"# "!$%&!$# !'.)!4+'*#3'0!+3!$%)!/3&#/;0)4!
<'(+(! ($'$)(! ! !!"#! #" 1! 2%+0)! ! ! "!!# "!" # "!# # "!$%&!" # ! '.)! 4+'*#3'0! +3! $%)! &#/;0)4! <'(+(!
($'$)(! !!"#$ # 5!!9%)!:))-'3!;).$/.<'$+#3!='-+0$#3+'3!+3&0/4)(!$%)!#;).'$#.(! !" !!"#!#" 1!
!
(#! +$! +(! 4+'*#3'0! +3! $%)! /3&#/;0)4! <'(+(! ($'$)(! ! !!"#! #" 1! </$! 3#$! +3! $%)! &#/;0)4! <'(+(!
($'$)(! !!"#$ # 5! ! A#! $%)! (%#.$! '3(2).! +(! $%'$! $%)! :))-'3! ;).$/.<'$+#3! ='-+0$#3+'3! +(!
!
4+'*#3'0! +3! $%)! /3&#/;0)4! <'(+(! <)&'/()! $%#()! <'(+(! ($'$)(! '.)! )+*)3($'$)(! #>! $%)! ('-)!
#;).'$#.(!&#-;.+(+3*!$%)!:))-'3!;).$/.<'$+#35!
!
675B! ! C#.! $%)! %@4.#*)3! 7!! ($'$)(! ! ! ! 1! !! ! !1! '34! ! ! ! " 5! ! 9%)! /3&#/;0)4! <'(+(!
! !!"#! #" !&#-;.+()(!(+D!($'$)(E!!
!" "! " "! !#! !" "! " !"! !#! !" "! $ "! !#! !" "! $ !"! !#! !" "! # !" "! !#! !" "! # !" !"! !! !
!
9%)!)+*)3,'0/)!)F/'$+#3(!>#.! !" !'34! !" !'.)!
!" #!$%! %$ ! %! " #!$%! %$
!
&" #!$%! %$ ! %$ " #!$%! %$
!
C+34!$%)!-'$.+D!)0)-)3$(!#>! !" !/(+3*!$%)!)+*)3,'0/)!)F/'$+#3E!
!
!
!!"#!! #"! $% !!"#! #" ! !!"#!! #"! #! " !!"#! #" ! #! " !!"#!! #"! !!"#! #"
! #! "" #! #!! " #" #"!
!
!
9%)!G.#3)&H).!4)0$'(!)3(/.)!$%'$!$%)! !" !-'$.+D!+(!4+'*#3'0!+3!$%)!/3&#/;0)4!<'(+(E!
!"##"#$%
%
#$&!%
!"#$%&$'()*+,(-.$
!
"
$
$
!" ! $
$
$
$
#
!
"
!
!
!
!
!
!
"
!
!
!
!
!
!
!
!
!
!
! !
!
! !
!
! !
!
! !
!
! !" !
! ! !"
"# "$ #"# "$
%
"
!"
' "# $ #"# $
' "# " # !# "
$
$
'
!
' "# "$ # !# !"$
'
"
"
' "# $ # !"# $
&
"# "$ # !"# !"$
"#$%$!&$!'()$'!*#$!%+&,!&-*#!!!!"! "! .!!/+&!0-12!*#$!3(*%-4!$'$3$1*,!+0! !" 5!
!!"#!! #"! $% !!"#! #" ! !!"#!! #"! #" " !!"#! #" ! #" " !!"#!! #"! !!"#! #"
!
!
! #" "" #! #!! " #" #"!
!
6#$!7%+1$89$%!2$'*(,!$1,:%$!*#(*!*#$! !" !-,!(',+!2-(;+1('5!
!
" " !
"
"
"
"
"
$
"
"
"
$ " !" ! "
$ "
"
"
"
"
" !
!" ! $
"
"
" !" ! "
$ "
$ "
"
"
"
"
" !
$
$# "
"
"
"
" !" !
!
%
'
'
'
'
'
'
'
'&
#$ #! $#$ #!
#$ #! $#$ !#!
#$ #! $ "$ #!
#$ #! $ "$ !#!
!
#$ #! $ !#$ #!
#$ #! $ !#$ !#!
!
<=.>! ! ?%+3! @%+)'$3! <=.A! B+%! )C! -1,D$8*-+1! +0! *#$! $-;$1E(':$! $F:(*-+1,GH! &$! 91+&! *#$!
3(*%-4!$'$3$1*,!+0! !" !(12! !" !-1!*#$!:18+:D'$2!)(,-,5!
!!"#!! #"! $% !!"#! #" ! #! "" #! #!! " #" #"!
!
!
!!"#!! #"! &% !!"#! #" ! #" "" #! #!! " #" #"!
!
6#$!I'$),8#JK+%2(1!8+$00-8-$1*,!-1!6()'$!<<.L!;-E$!:,!*#$!8+:D'$2!)(,-,!,*(*$,!-1!*$%3,!
+0!*#$!:18+:D'$2!)(,-,!,*(*$,!!
!
! !
" "
! # #" # #" !
! #
" "
!
# #" # !#" !"!
#
!
! !#
" "
!
! !!
" "
! # #" % !# !#"
# #
" "
# !#
" "
!
!
"
!
"
!
# #" $ #"
# #" $ !#" !"! #! ! # #" % !# #"
"
!
# #" # !#" !!!
#
!
# #" $ !#" !!!
#
!
!
# #" $ #"
"
!
! # #" % !# #"
M,-1;! *#$,$! $4D(1,-+1,H!&$!8('8:'(*$!*#$!3(*%-4!$'$3$1*,!+0! !" !-1!*#$! 8+:D'$2!)(,-,!-1!
*$%3,!+0!:18+:D'$2J)(,-,!3(*%-4!$'$3$1*,.!!?+%!$4(3D'$H!
!"##"#$%
%
#$&'%
!"#$%&$'()*+,(-.$
! !
! !
# #
# #
# #
# #
! " " !" " " ! # " # " !" # " # " ! ! # " # " # " # " ! ! !"!
#$%!&'$%(!)*+,&-+.!'%(/0!+(%1!
!
! #
" "
!
!"
#
!
! #
" "
# #" # !#" !"
#
!
#
"
!
$ # # # !"
% !# $ ! #
# $
#
!
# #" $ #" !"
! !#
" "
!"
! !#
" "
!
! !!
" "
!"
! !!
" "
! # # #" % !# !#" $ !" # # #" % !# !#" $ ! !!
# #
" "
!"
!
# #
" "
#
# !#
" "
!
#
# #
" "
!
#
# #" $ !#" !"
"
!
# #" # !#" !!
"
!
#
!
#
!
# #"
#
"
!#
"
#
"
"
!
"
"
!
!#
"
#
"
$ # ##
% !# $ ! # #
# #" $ #" !"
"
!
!#
"
#
"
!"
#
!
!!!
$!
# #" $ #"
#
!
#
!
#! " "! $! ! #! !
$!
# #" $ #"
!"
! #
" "
!
! !#
" "
!"
!"
!
# !#
" "
#
!
# #" $ !#" !!
"
!
# #"
#
!
# #" # !#" !"!
"
!
# #" $ #" !"
#
"
!
#
"
"
!
# #" $ !#" !"! #! ! # #"
$ # ##
% !# $ ! # #
#
"
"
!
#
"
!#
"
"
#
!
#
"
!!!
#
!
$ !#" !!!
"
!
!
;.70!'$%!<%(/*'*+-!6&-=7,+'%0!&:!'$%0%"!!#$%! !" !/+'(*>!*0!'$70!
"
$
$
$
!" ! $
$
$
$
$
#
!
!
"
!
!
!
"
!
!
"
#
!
!
!
!
!
"
$
#
!
!
!"
#
!
"
!
!
!"
!
!
!
"
$
#
!
!
"
$
#
!
$
#
%
'
! '
'
$
# " '
! '
'
! '
'
!$
# " &
!
"
!
#
$
% $#
#
$
% "$
#
$
% !"$
#
$
% !#$
"
$
% "$
"
$
% !"$
$!
$!
# #" $ #"
!
!
#
!
"
!#
!
!
#
!#
"
#
#
" $ " !! ! ! # " % !# "
!
2*3%4*0%5!4%!6+.67.+'%!+..!'$%!-&-89%(&!&::8)*+,&-+.!%.%/%-'01!
# !#
" "
$!
! # #" % !# #"
"
!
!"
!
!
!
$!
! # #" % !# #"
"
!
!
!
!
?&4!6+.67.+'%!'$%!/+'(*>!%.%/%-'0!&:! !" !*-!'$%!6&7;.%)!@+0*0!*-!'%(/0!&:!7-6&7;.%)8@+0*0!
/+'(*>!%.%/%-'0"!!A&(!%>+/;.%!
! !
! !
# #
# #
#
# #
# #
#
! " " !" " " ! # " # " !" # " # " ! " ! # " # " # " # " ! " ! !
#$%!&'$%(!)*+,&-+.!'%(/0!+(%1!
!
! #
" "
!
!"
! #
" "
!
#
# #" # !#" !"
#
!
#
"
!
$ # # # !"
& !# $ ! #
# $
# #" $ #" !"
#
!
! !#
" "
!"
! !#
" "
!
! !!
" "
!"
! !!
" "
! # # #" & !# !#" $ !" # # #" & !# !#" $ !
# #
" "
# !#
" "
!"
!"
# #
" "
# !#
" "
!
#
!
#
"
!
"
!
#
!
# #" $ !#" !"
# #" # !#" !!
# #" $ !#" !!
#
!
#
!
# #"
#
"
# #"
"
!
"
!#
"
#
"
"
!
#
"
#
!
"
#
"
"
!
!#
"
# #" $ #"
!"
#
!
!#
"
#
"
!!!
#
!
$ !#" !!
# #" $ #"
"
!
%
#
!
# !#" ! $ " "! # #" ! $ ! #% !
$!
$!
!#
%
!
!
!#
%
! # #" & !# #"
!
2*3%4*0%5!4%!6+.67.+'%!+..!'$%!-&-89%(&!&::8)*+,&-+.!%.%/%-'01!
!"##"#$%
$!
! # #" & !# #"
!
$ # ##
& !# $ ! # #
# #" $ #" !"
"
!
!#
"
#
"
!
$!
#
%
!
#$&'%
!"#$%&$'()*+,(-.$
!
! #
" "
!"
# #
" "
!
#
#
!
#
# #" # !#" !"!
$ #
"
!
# #" $ #" !"
"
!
# #" # !#" !!!
$ #
#
!
# #" $ #"
!
!
# $ !"! ! # % !# !"
# $ !!!
!
"#$%!&'(!)(*+,&,-.!/0.1$2-&(%!03!&'(%(4!!5'(! !" !+-&*,6!,%!&'$%!
! !#
" "
!
# !#
" " "
"
!
"
$
$
$
$
!" ! $
$
$
$
$#
!
!#
"
#
"
!
"
#
!
"
#
"
#
!
#
"
#
#
#
#
"
#
#
! "
%
#
#
!
$
#
#
"
#
#
#
#
#
! "
%
#
#
!!
$
"
!!
"
#
"
#
! "
%
"
#
"
#
"
!
%
'
# '
'
! "
% " '
# '
'
# '
'
!
'&
"
$
#
"
#
!!
$
!#
"
"
#
$!
! "
!
! # % !#
#
"
%
"
& "%
%
"
& !"
%
"
& !!"
%
"
& !%"
!
"
& !"
!
"
& !!"
#
"
!
$!
! "
!
!
!
!
!
7849!!:.!;*0<#(+!784=>!?(!30$.@!&'(! !" !-.@! !" !0"(*-&0*%!,.!&'(!/0$"#(@!<-%,%!30*!&'(!8!!
%&-&(%4!!A0?!?(!+$%&!-@@!,.!&'(!8"!%&-&(%4!!B0*!&'(!8"!%&-&(%>! !! ! ! !-.@! ! ! !" >!%0! ! ! !" !
-.@!&'(!C#(<%/'DE0*@-.!/0(33,/,(.&%!-*(!&*,F,-#>!2,F,.2!
! !
" "
!
! !!
" "
! # !" # !" !
! # !" # !!" !
!
)(./(!?(!2(&!0.#G!@,-20.-#!+-&*,6!(#(+(.&%H!
! !
" "
!
! !!
" "
! !
" "
!"
!"
#"
! !
" "
! !!
" "
! !
" "
! # !" # !" !" # !" # !" ! #!
! # !" # !!" !" # !" # !!" ! #!
!
! # !" # !" #" # !" # !" ! !" !
! !!
# ! !! ! # !" # !!" #" # !" # !!" ! ! !" !
!" " " " "
I@@,.2!&'(%(!(#(+(.&%!&0!&'(!*(%$#&%!3*0+!;*0<#(+!784=!2,F(%!30*!&'(! ! ! !" !%&-&(%!
!
"
$
!" ! $
$
$
#
!
! !
! !
! !
!
!
"
#"
! !
!
%
'
'
'
'
!"
# " &
!
!
!
$
"
% $"
"#
$
"
% !$"
"#
$
"
% $"
"$
$
"
% !$" " $
!
-.@!
!"##"#$%
%
#$&'%
!"#$%&$'()*+,(-.$
" !"
"
$
$ #
!" ! $
#
$
$# #
!
!
#
!!
"
"
#
#
# %
'
# '
# '
'
!
'&
"
$
#
#
!!
$
"
#
!
"
% !"
"#
!!
"
!
"
%
!
"
% !"
!
"
% !!" " $
"#
!
"$
"#$%#!&$'()!*#(!+((,-.!/0(1-*/1!-)!
!
#
%
" #
! "! ! # $ $" %& # $' (& % # )# # %
%
!
%
$
!
! " "
" "! "
" " !#
"
"
"
"
"!
#
"
"
&
(
(
(
(
'
!
$
% !$
$*
!
$
% "!$
$*
!
$
% !$
$+
!
$
% "!$ $ +
!
2)$.&!*#(!&31/,-&.(*$%!1-*$/)4!!!! ! !5! !" ! ! 6!!7#(1(!-1(!./!/889:$-&/.-;!(;(,(.*)5!)/!*#(!
(.(1&$()!-1(!/<*-$.(:!<3!$.)0(%*$/.!
!
!"!!" # # "! # $!%&' & # "! $!%&' & # () )"!" () )"! !# () )"!" !# () ) !
!
$.! -&1((,(.*! =$*#! >?6! @AB6CDE6! ! 7#(! 0;/*! <(;/=! )#/=)! -;;! *#(! !!F!B! (.(1&$()! @)((!
G$&6!AB6DE!=$*#!*#(!.(=!B"!;('(;)!)#/=.!-)!:-)#(:!;$.()6!
E
j mj
3ê2 3ê2
3ê2 1ê2
2 p3
3ê2 -1ê2
2
3ê2 -3ê2
1/2
1/2
1/2
1/2
2 s 1 2 p1
2
2
1/2
1/2
-1/2
-1/2
Bext
!
!
!
AB6D! ! 7#(! )0$.9/1<$*! $.*(1-%*$/.! $)! ./*! :$-&/.-;! $.! *#(! 2.%/20;(:! <-)$)! <(%-2)(! =(! %-.!
=1$*(!!!"" !-)!H)((!>?6!@AB6IJEK!
!
!!"" !
!
"
# !" "! " !! "" $ " !# "# !
-.:!*#(!-.&2;-1!,/,(.*2,!;-::(1!/0(1-*/1)!%/..(%*!-:L-%(.*!)*-*()6!!M.!(N-,0;(!/8!-.!
/889:$-&/.-;!(;(,(.*!$)!
!
!"##"#$%
!!"#!! #"! $! %" !!"#! #" " !!" # #! ! !$ # #" " !$ $! %" !!"#! #"
!# #!! " #! ! !!!!"#$!!! #"! "!#" " !
%
!
#$&#'%
!"#$%&$'()*+,(-.$
!"#$%##&'($#(#)*+#,$+($'$,-).(*$/+#01$')#$
!!!"##$%& ! " ' ' $ $! # !$( % $
,.$-2.$,-'-#,$! !!"#! #" $'&1$! !!"#!! #! ')#$1#*#(#)'-#$2"#($
$
!!! ! !!" " !!! ! ! !"! $
$
3,+(*$-"#$4'05#,$/.)$-"#$(.(67#).$.//61+'*.('0$#0#&#(-,$/).&$'8.4#$*+4#,$
!!!! ! ! !"! " !! ! " ! ! # !" " "$ " !! ! !!" " " # !! ! !!" $
,.$ -"'-$ -"#$ (.(67#).$ .//61+'*.('0$ &'-)+9$ #0#&#(-,$ ./$ !!"" $ 1.$ (.-$ :.+(:+1#$ 2+-"$ -"#$
1#*#(#)'-#$,-'-#,$./$-"#$%##&'($,-)+(*$/+#01$;#)-5)8'-+.(<$
$
=><?<$$@($-"#$:.5;0#1$8',+,$ !!"#$ # A$ ! !"# $+,$1+'*.('0$85-$ ! "! $+,$(.-$1+'*.('0<$$!"#$,5&$+,$
!
BCD<$E=><FGHI$
$
$
# "" ! !#
"
"
"
"
"
%
" !
!
"
"
"
"
"" ! # #
# #
%
%
" !
"
"
"" " !# #
"
"
# #
!! ! %
%
"
"
"
"" " !#
"
"
%
" !
"
"
"
"$" ! %# #
"
# #
%
%
" !
"
"
"
"
"$" " %# #
# #
$
!
&
(
(
(
(
(
(
(
(
'
#
!
& !#
#
!
& %!
#
!
& "%!
#
!
& "#!
%
!
& %!
%
!
& "%!
$
2"#)#$2#$1#/+(#$
$
! $ "
! "#
$
!"#
$ ! "% %
!!
!.$ 1+'*.('0+7#A$ +-$ +,$ 5,#/50$ -.$ )#.)1#)$ -"#$ ).2,$ '(1$ :.05&(,$ -.$ &'J#$ -"#$ &'-)+9$ 80.:J$
1+'*.('0K$
# "" ! !#
"
"
"
"
"
%
"
"" " !#
"
"
"
"
%
" !
"
"
"
"
"" ! !# #
%
# #
%
!! !
" !
"
"
"$" ! %# #
"
"
%
# #
%
" !
"
"
"
"
"" " !# #
# #
%
%
" !
"
"
"
"
"$" " %# #
# #
$
!
&
(
(
(
(
(
(
(
(
'
#
!
& !#
#
!
& "#!
#
!
& %!
%
!
& %!
#
!
& "%!
%
!
& "%!
$
!"#$:"')':-#)+,-+:$#D5'-+.($+,$
!"##"#$%
%
#$&##%
!"#$%&$'()*+,(-.$
!
$
#$ ! " " "! ! !" # %& #$ ! " " "! " !" # %& #$ ! " " "! ! !" " # %& #$ ! " " "#! ! $" " # %& "
$
' #$ ! " " "! " !" " # %& #$ ! " " "#! " $" " # %& "
"
" !
"
"
# %& %
"
" !
"
"
# %'
!
!
!
"#$!%&'()!*!(+,"-&.#)/!
! ! # "! " !" $
! ! # "! " !" $
!
! ! " ! # "! " " $ " #! ! " $$% !" ! &
!
! ! " ! # "! " " $ " #! ! " $$% !" ! &
01(!2&3)-!-4.!(+,"-&.#)!%&'(!-1(!(&%(#'"5,()/!
!!"# ! "! " #" !
!
6.5'&#%!-1(!+,"$3"-&7!(+,"-&.#)!%&'()!
!
!!"#"$"% ! "
# %! " " $ "
!"
# %! " " $ "
!"
# %! " " $ "
&
&
&
# # %! " " $ &
" $! & "
%$
(
& '
&
#
''
!
!"
#
$
$
(! & % '# " & " !!" " $! & "
''
!
#! & % '# " & " &! !" ! "!! "
"
&
" &! ' % '%' # "! $ "
&
!"
!
' "
% !
41(3(!-1(! 8.9($! ! !%.!-.%(-1(3:! !6(--&#%! ! ! ! !%&'()! -1(! 2&(5$;23((! 2&#(;)-3,7-,3(!5('(5)!
!! !< ! !" ! =!"#$! !!! !< ! !" ! =!")!(9>(7-($:!!01(!4("?;2&(5$!5&@&-!<!! ! " =!&)!
!!"# ! "! " #"
!
!$"%"&"' ! "$! "
"
#
" #! ! # !'! $ "! % "
#
! "
' !
# "$! "
"
!
" #! " " " !
#
'
$
%
& "! " "
&
$
#%
& "&! " # "
&'
$
01()(!"3(!7.#)&)-(#-!4&-1!A+):!<BC:*D=!"#$!<BC:DE=!"#$!-1(!>5.-!&#!F&%:!BC:E:!
01(!)-3.#%;2&(5$!5&@&-!<!! ! " =!&)!
!"##"#$%
%
#$&#$%
!"#$%&$'()*+,(-.$
!!"# ! "! " #"
"
#
" #! ! # !'! $ "! % "
#
" "
#
# "$! " " " " !
# #
$
$
)
& " ! # &"" *'
&
$
#%
& " !! ! # &*" ""'
&'
$
!$"%"&"' ! "$! "
!
! "
' !
! "$! "
" "
"
!"
# #
( !
$ "
# $ %"! %
#
!
"#$%$!&'$!()*%+%,$*,!-+,#!./%0!1230435!&*6!1230475!&*6!,#$!89),!+*!:+;0!230<0!
"#$!3!!%,&,$%!&'$!,#$!%&=$!+*!,#$!()>89$6!)'!>*()>89$6!?&%+%@!
! !
" "
!
! !!
" "
! # !" # !"
! # !" # !!"
!
%)!,#$!A$$=&*!8$',>'?&,+)*!+%!6+&;)*&9!+*!$+,#$'!?&%+%0!!./%0!1230B45!&*6!1230435!?),#!;+C$!
" # ! %
!
!" ! $
# ! !# '&
!
D66+*;!+*!,#$!E+*$!%,'>(,>'$!1./0!230FB5!;+C$%!
# "!" " #
&
"
!! ! %
!
"
"!" " # ('
$
!
"#$!'$%>9,&*,!$*$';G!%#+E,%!&'$!
!!"# ! !$" " # !
!
D99!4!$*$';G!9$C$9%!&'$!%#)-*!+*!,#$!89),@!
m! ms
E
Strong Field
mJ
Intermediate Field
2
0
1
2
2
-1
2
2
1
2
2 s 1 2 p1
-3
2
0
1
2
-1
1
-1
2
-1
2
0
0
-1
!
1
2
3
2
Weak Field
2 p3
1
1
2
1
2
1
2
-1
2
-1
2
-1
2
-1
2
Bext
!
!
!"##"#$%
%
#$&#'%
!"#$%&$'()*+,(-.$
!"#!$%%&'%()*%+',-+./*0%12343% !!"#! #" 5% ! "! %43%0426-'2/%1+(% ! !"# %43%'-(%0426-'2/#%%7483(%
!
0-% ! "! 9%%:;#%<!"#=>?%64@*3% ! "! ! " # # $ $! %& # $' (& % " #%%A+13(4(+(4'6%()*%@2/+*3% !!! ! !%2'0%
!
!" ! ! %B4*/03%
" #
! "! ! # $ $% # !&% % %
!
!
!" %2'0% !" %28*%1-()%0426-'2/%4'%()*%+',-+./*0%12343#%%C)*%8*;+48*0%D2(84E%*/*D*'(3%28*%
%
!!"!! "!! #$ !!"! "!
%
!
!!"!! "!! %$ !!"! "!
%
F3*%()*%*46*'@2/+*%*;+2(4-'3%!!" !#$! $# ! $! " !#$! $# %2'0% !!" !#$! $# ! $# " !#$! $# %
(-%6*(%
!!"!! "!! #$ !!"! "! ! !!"!! "!! "! " !!"! "! ! "! " !!"!! "!! !!"! "! ! "! "" "!! "! " "!! "!
%
!
!!"!! "!! %$ !!"! "! ! !!"!! "!! "! " !!"! "! ! "! " !!"!! "!! !!"! "! ! "! "" "!! "! " "!! "!
%
G)4,)%3)-G3%()2(%()*%D2(84,*3%28*%0426-'2/#%%H-G%G84(*%()*D%0-G'9%
%
"
$
$
!" ! $
$
$
$
#
!
"
!
!
!
!
!
!
"
!
!
!
!
!
!
!
!
!
!
! !
!
! !
!
! !
!
! !
!
! !" !
! ! !"
"# "$
%
!"
' "# $
' !# "
$
'
%
!"
' !# $
'
"
' !"# $
&
!"# !"$
" " !
"
"
"
"
" % #$ #!
'
$
"
"
" ' #$ !#!
$ " !" ! "
$ "
"
"
" ' "$ #!
"
" !
'
$
%
!" !
%
" ' "$ !#!
"
" !" ! "
$ "
$ "
" '' !#$ #!
"
"
"
" !
$
$# "
"
"
"
" !" ! '& !#$ !#!
!
I+(%()*3*%(-6*()*8%(-%J4'0%()*%K**D2'%D2(84E9% ! "! ! " # # $ $% # !&% % ! 9%
!
!"##"#$%
%
#$&#'%
!"#$%&$'()*+,(-.$
# !!# #
%
"
%
%
"
! "! ! %
"
%
%
"
%
"
$
!
!
"
"
"
"
" !# #
"
"
"
"
"
"
"
"
"
"
"
"
" !# # "
"
"
"
"
&
(
"
(
(
"
(
"
(
(
"
(
"! ! # # '
"
#$ #!
#$ "#!
"$ #!
"$ "#!
!
"#$ #!
"#$ "#!
"#$!%&'(! ! !"# )!!*+,!-.)!/01)234!5#!6,5!57,!8,9:5&;&+5&<!5,8=>!$7&<7!&+!(&:6#':9>!:'(!7:+!57,!
+:=,!;:9?,!%#8!:99!57,!1!!+5:5,+@!
#
!
!
$ &
!!"
!"#$
# ! " # %& " % $
! #(
!
"
$ ' ! ! $ " " #' '
#
!
!
$ &
# ! " # %& " % $
!
# (!
!
"
%$ " !! $ " " # ! " " ('
!
#!
!
% # "
" %&
$&#
A7,!8,9:5&;&+5&<!=:58&B!&+!
$ " ! # $ %& %
"#$
&
&
&
&
&
&
! "#$
! !&
&
&
&
&
&
&%
&
!
!
&
&
&
&
!
" "#$
# $ %& %
&
&
&
&
!
# $ %& %
" "#$
&
&
&
&
!
" "#$
# $ %& %
&
&
&
&
!
# $ %& %
" "#$
&
&
&
&
'
)
&
)
)
&
)
)
&
)
)
&
)
!
" "#$
# $ %& % )(
&
*+,!-.+)!/01)2C4!:'(!/01)D34!5#!6,5!57,!+E&'F#8G&5!5,8=!
! !
$!
$!
%
!"
"
!
! "#
( " " ($ "" $ " () ") $ !
! !
! ! $
! ! $ #!# " $
"
"#
%
&
'
"
"#
%
&
'
#
#
!
H,! :98,:(I! 7:;,! 57,! !" ! :'(! !" ! =:58&<,+! %8#=! :G#;,>! +#! $,! ',,(! 57,! =:58&B! %#8!
" !! "! ! !! "! # )! ! A#! %&'(! 57,+,! =:58&B! ,9,=,'5+! E8#<,,(! :+! &'! -.+)! /00)2J4! :'(! /00)2K4)!!
L:'I!5,8=+!:8,!M,8#)!!N#8!,B:=E9,>! " !! "! ! !! "! # ! !" ! !" $ # )!!A7,!#'9I!5,8=+!57:5!,B&+5!
:8,!#',+!9&O,!
!
!
" !! "! ! !! "! # ! !" # !"
$ ! "#!"! ! !# ! # " # ! !# $% ! "# !" " !" ! !# ! !" " !" ! !# $%
!
$ ! " " ! !" ! !!"
!"##"#$%
!"
%
!"
! !" ! !!"
!
#$&#'%
'( '%
'( "'%
&( '%
&( "'%
"'( '%
"'( "'%
!"#$%&$'()*+,(-.$
! !
!"#!$%&''(%!$ ! !" # !" $!&$ ! !" ! !!" $#')$#*+&$ ! !" # !!" $!&$ ! !" # !! !" ,$$-"($./'#*$0(+1*!$.&0$ !!"" $
/+$2+(($30&4*(5$67,78$
$
" #! !
"
$
$ "
!# ! !
$
! ! $ "
#! !
!"" " $
"
$ "
$
"
$ "
$ "
"
#
!
"
"
"
"
"
"
"
"
"
"
#!
!
"
#!
"
#!
!
!# ! !
!
"
"
%
'
" '
'
" '
'
" '
'
" '
# ! ! '&
"
#$ #!
#$ !#!
"$ #!
$
"$ !#!
!#$ #!
!#$ !#!
9('%(:$!"($+;/'$&04/!$5#!0/<$/+$
$
&
&
&
&
! "#
! !&
&
&
&
&
&%
!
$
!
"#
" $ $% %
&
&
# "#! " $ $% %
&
!
$' %
" $ $% %
&
!
$' %
&
&
&
&
&
&
&
&
" $ $% %
&
&
&
&
&
&
&
&
&
!
$' %
" $ $% %
!
$' %
" $ $% %
# "#! " $ $% %
&
&
'
)
&
)
)
&
)
)
&
)
)
&
)
$
% )
!
)(
"# " $%
&
!( !%
!( #!%
&( !%
&( #!%
#!( !%
#!( #!%
=(./'($ ! ! ! ! "# " #"$ #')$>($?(!$.&0$!"($./'($+!01%!10($5#!0/<@$
# "$
!
!
!
!
! & "' "%
(
%
$ %
""
!
!
! ( "' ""%
% ! "#$ # $
% ! $ %$ "&$
!
!
! ( !' "%
#
#
(
%
$
! !"# !
$
$ %
&
( !' ""%
% !
!
!
" #$
$
!
#
(
%
"
$
%
""
( ""' %
% !
!
!
$
"
$
!
#
#
(
%
""
!
!
!
!
"$ ' ""' %
$ !
!
=(./'($ ! ! " " " $#')$#))$!"($A((5#'$#')$./'($+!01%!10($5#!0/%(+$!&$?(!$
!"##"#$%
%
#$&#!%
!"#$%&$'()*+,(-.$
!
# !% " &
"
"
"
"
"
%
% !
##
"
"
"
"
"$&
$ &
%
%
% !
"
% " &$ &
"
"
"
$ &
%
! "! ! ! !#$ !
%
"
"
"
"% " &$ & % $ ! &
"
%
% !
%
"
"
"
" ##$ &
"
$ &
%
"
"
"
"
"
"!% " &
$
!
"#$!%#&'&%($')*()%!$+,&()-.!)*!
!
#
#$ ! " ! !! " " " %& #$ ! " ! "!! " " " %& #$ ! " ! " ""# " " %& #$ ! " ! ! " $# " " %& "
#
' #$ ! " ! "! " $# " " %& #$ ! " ! " ""# " " %& "
!
% !
#
"
"$
!
!
&
(
(
(
(
(
(
(
(
'
% !
#
#' #!
#' "#!
"' #!
!
"' "#!
"#' #!
"#' "#!
"
" $'
!
!
%&
/#)%#!0)1$*!2!$+,&()-.*3!
! ! " !! " " #
! ! " "!! " " #
!
! ! $ ! " "" " ! # $ #" ! " $$% "! ! &
!
! ! $ ! " "" $ ! # $ #" ! $ $$% "! ! &
"#$!4)'*(!(/-!$+,&()-.*!0)1$!(#$!$)0$.1&5,$*3!
!!"# ! "! " #" !
!
6-51).0!(#$!+,&7'&()%!$+,&()-.*!0)1$*!
!!"#"$"%
!
# %! " " $ "
!"
&
!"
# %! " " $ "
!"
# %! " " $ "
&
&
# # %! " " $ &
" $! & "
%$
(
'
&
&
#
''
!
!"
#
$
$
(! & % '# " & " !!" " $! & "
''
!
#! & % '# " & " &! !" ! "!! "
"
&
" &! ' % '%' # "! $ "
&
!"
!
' "
% !
/#$'$!(#$!8-9$7! ! !0-!(-0$(#$':!!"#$*$!'$*,5(!).!(#$!;5-(!8$5-/:!
!"##"#$%
%
#$&#'%
!"#$%&$'()*+,(-.$
m! ms
E
mJ
Strong Field
1
1
2
0
1
2
3
2
Intermediate Field
1
2
Weak Field
2 p3
2
-1
2
2
1
2
2 p1
-1
2
-3
2
!
-1
1
1
2
-1
2
0
-1
2
-1
-1
2
Bext
!
!
"#$""! ! %&'!('')*+!,'-./-0*.12+! )*.-13!1+! .&'!1+.'-)'41*.'! 51'64!1+! .&'!72/,6'4!0*818! 18!
9:;<$!:"#$=>?@!
!
# "" ! !#
"
"
"
"
"
%
" !
!
"
"
"
"
"" ! # #
# #
%
%
" !
"
"
"" " !# #
"
"
# #
!! ! %
%
"
"
"
"" " !#
"
"
%
" !
"
"
"
"$" ! %# #
"
# #
%
%
" !
"
"
"
"
"$" " %# #
# #
$
!
&
(
(
(
(
(
(
(
(
'
#
!
& !#
#
!
& %!
#
!
& "%!
#
!
& "#!
%
!
& %!
%
!
& "%!
!
A'*--*+B'!.&'!-2C8!:*+4!726/)+8!25!72/-8'?!.2!,/.!.&'!255D41*B2+*6!'6')'+.8!*4E*7'+.!.2!
.&'!41*B2+*6!
& #& #
# "" ! !#
"
"
"
"
"
! !
( # "#
%
"
"" " !#
"
"
"
"
( !& !
%
" !
!
"
"
"
"
"" ! # #
( #& %
%
# #
( ! ! !
%
!! !
!
" !
%
"
"
#
"$"
!
#
"
"
( %! & %!
%
#
#
( # "%
%
" !
"
"
"
"
"" " !# #
# #
( !& !
%
%
" !
"
"
"
"
"$" " %# # (' %! & "%!
# #
$
!
F-2)!.&18G!C'!8''!.&*.!.&'!8.*.'8! "! "! !*+4! "! !!" !*-'!+2.!72/,6'4!.2!*+H!2.&'-!8.*.'8!*+4!82!
&*I'!.&'!8*)'!51'64!4','+4'+7'!*.!62C!*+4!&1B&!51'648$!!%&'!8.*.'8! "! #" !*+4! !" !" !72/,6'!
.2!'*7&!2.&'-G!82!.&'H!-','6!'*7&!2.&'-!1+!F1B$!"#$"J$!!K1L'C18'!.&'!8.*.'8! "! !#" !*+4! !" !!" !
72/,6'!.2!'*7&!2.&'-!*+4!-','6!'*7&!2.&'-!1+!F1B$!"#$"J$!
!
!
!
!"##"#$%
%
#$&#'%
!"#$%&$'()*+,(-.$
!"#!"$ $ %&'$ ()*+$ ,-)./01$ ()$ -23.4/)$ 56)$ 678)',-2)$ 05'4354')$ -2$ 56)$ 9)'&56:&'/)'$
;*<-.5&2-*21$ 40)$ 56)$ 3&48.)/$ 05*5)0$ !" ! $ *0$ 56)$ =>&&/=$ ?*0-0$ ?)3*40)$ 56)$ 678)',-2)$
;*<-.5&2-*2$-0$/-*>&2*.$-2$56*5$?*0-01$*2/$5')*5$56)$@))<*2$),,)35$*0$*$8)'54'?*5-&2#$$%&'$
05'&2>$ ,-)./01$ ()$ -23.4/)$ 56)$ @))<*2$ ),,)35$ -2$ 56)$ 9)'&56:&'/)'$ ;*<-.5&2-*21$ 40)$ 56)$
423&48.)/$ 05*5)0$ !"#! #" $ *0$ 56)$ =>&&/=$ ?*0-0$ ?)3*40)$ 56)$ @))<*2$ ;*<-.5&2-*2$ -0$
/-*>&2*.$-2$56*5$?*0-01$*2/$5')*5$56)$678)',-2)$-25)'*35-&2$*0$*$8)'54'?*5-&2#$
A5*'5-2>$-2$56)$()*+$,-)./$3*0)1$56)$678)',-2)$;*<-.5&2-*2$-2$56)$3&48.)/$?*0-0$-0$B,'&<$
CD#$E!"#F!GHI$
#
%%
! "#$
! ! %
!%
%$
!
$
"
#
#
#
#
"
#
#
# #
# #
" #
# "$
& ""
( "#
$
(
( "% ""
(' ##
0&$ 56)$ 9)'&56:&'/)'$ )2)'>-)0$ *')$ ! ! ! $ *2/$ ! !! " 1$ *0$ ()$ ,&42/$ -2$ CD#$ E!!#JKG#$ $ L6)$
@))<*2$;*<-.5&2-*2$-0$
!"# #
$% $
! "! !
!
!
0&$()$2))/$5&$,-2/$ !" $-2$56)$3&48.)/$?*0-0#$$M405$*0$-2$A)3#$!"#N#"1$()$40)$56)$O.)?036:
P&'/*2$)Q8*20-&20I$
$
!! ! " "
!
"# " ! " ! " $%
#
$
!$ !! ! ! !
!" !
$
!
"# " ! ! ! " $%
#
"" !
!" $ -0$ /-*>&2*.$ -2$ 56)$ 423&48.)/$ ?*0-0$ BCD#$ E!!#N"GH1$ ?45$ -0$ 2&5$ /-*>&2*.$ -2$ 56)$ 3&48.)/$
?*0-0#$$L6)$&2.7$2&2:9)'&$<*5'-Q$).)<)250$*')$
!! !" !! ! " " !" " " ! " !"
!# !! !" !# !! ! ! ! !" ! ! ! ! !"
$
!
!$ !" $$ !
!
"
$$ !" !$ !
!
"
# "! "
# "! !
! " $ !"
! " $ !"
!
"
!
"
# "!
# "!
# " ! # ! $$ ! "
" ! " $ ! # " ! # ! $$ ! "
! !" $!
!
"
!
"
!
"
!
"
!
"
!
"
!
"
!
"
$
L6)$')04.5*25$@))<*2$<*5'-Q$-2$56)$3&48.)/$?*0-0$-0$
$
!"##"#$%
#
%
! "! ! #$ $ %
%
%$
!
!
"
"
"
" " "
" " !
" "! "
! " "
%
& !!
( !"
$
(
( !# "!
(' ""
#$&#'%
!"#$%&$'()*+,(-.$
!"#$%#&'()*#+)#,-%#&+)%.",/(0,(/%#01"%2#,-%#'&&.*+13')14#51,/+6#%4%5%),"#0'(74%#",1,%"#,-1,#
1/%# )').*%3%)%/1,%2# "'# ,-%# 8%%51)#51,/+6# +"# *+13')14# $+,-+)# %10-# *%3%)%/1,%# 51)+&'4*#
9,-%# ! ! !# ",1,%"#1)*#,-%# ! ! ! #",1,%:;# #<-%#&+/",.'/*%/#8%%51)#0'//%0,+')"#1/%#,-("# ,-%#
*+13')14#%4%5%),"#
!"!!" # # "! # $% $ # "! $% $ #
#
$-+0-#$%#&+)*#=>#+)"7%0,+')#,'#=%#
#
!"!!" # # $ %& &
# %& &"!!#"!!! %& &"!!#!!!$%&'()*' !! "! !# "! !" !! "! ## !'()(*'
#
1"#%67%0,%*;##?%)0%#,-%#,',14#%)%/3+%"#9)%34%0,+)3#,-%#.@A;B#%C#,%/5:#1/%#
#
" # % # & '!!!!! ""
'
#
$
%
$$ # # !!!!!!!!!!!!!!!! "!
!"#! ! " # !$!"" $ # %
#
$ # # # &' '!!!!!!!! "$ !"
$ ! %% !!!!!!!!!!!!!!! !!
#
$%
1"#"%%)#+)#D+3;#@E;@@;#
D'/#,-%#",/')3.&+%4*#01"%2#$%#,/%1,#,-%#8%%51)#%&&%0,#+)#F%/',-.'/*%/2#$-+0-#5%1)"#$%#("%#
,-%#()0'(74%*#=1"+";##<-%#8%%51)#?15+4,')+1)#+"#
#
#
!"# #
!"# # ! %
$% "
! "! !
%
!
! !%
%$
!
"
#
#
#
# # #
" # #
# "" #
# # ""
&
(
(
(
('
##
#"
#
"#
""
?%)0%#,-%#F%/',-.'/*%/#%)%/3+%"#1/%2#=>#+)"7%0,+')2# ! " ! ! #&'/#,-%# ! ! #1)*# ! ! #",1,%"#
1)*# ! ! ! ! #&'/#,-%# ! ! #1)*# ! ! #",1,%";##<-%#->7%/&+)%#?15+4,')+1)#+)#,-%#()0'(74%*#
=1"+"#$1"#&'()*#+)#GH;#9@@;AI:#,'#=%#
#
#
$%
! "#! ! %
!%
%$
!
" # # # &
# "" $ # (
(
# $ "" # (
# # # " ('
!!
!"
"!
#
""
<-+"# +"# *+13')14# $+,-+)# %10-# *%3%)%/1,%# 51)+&'4*# 9 !" ! "! " :2# "'# ,-%# &+/",.'/*%/#
->7%/&+)%#0'//%0,+')"#+)#1#",/')3#&+%4*#1/%#,-%#*+13')14#,%/5"#
!"#!!" # $ "#! # !%&'% '& $ "#! !%&'% '&
#
!"##"#$%
# $ ( !!! #)*!!! $ $ #! " "
% "
#$ (
%& " " !!! #)*!!! $ " #! " $
%
#
#$&$'%
!"#$%&$'()*+,(-.$
!"#$"%&'"%&(&)*%"#"+,-".%/#",*"$&-#,%&'"%01234%"5%&"+67%)+"%
%
"
$
$$
!"! ! " # !#$!"" $ #
$
$
$%
# %& & # '# !!!!! # #
# %& & ! '# !!!!! # !
! %& & # '# !!!!! ! !
%
! %& & ! '# !!!!! ! #
).%.""#%-#%8-,3%193113%
:'"% -#&"+6";-)&"%<-"*;% +",-(#%-.%='"+"%&'"% >""6)#%)#;%'?@"+<-#"%$(++"$&-(#.% )+"%(<%&'"%
.)6"%(+;"+%(<%6),#-&A;"3%%BCA)&-#,%&'"%&=(%$(++"$&-(#.D%
!" " ! # %E%
%
="%,"&%)%6),#"&-$%<-"*;%.&+"#,&'%
%
!"#$!$%&
"
!
%
#! !%"!$%& '()**
! ! ! !$$$!'()**!!!$%!!+,*-(
!!
%
19312%%:'"%'?@"+<-#"%!)6-*&(#-)#%-#%&'"%$(A@*";%F).-.%-.%G<+(6%BC3%/193H17ID%
%
#
%%
! "#$
! ! %
!%
%$
!
"
#
#
#
# # & ""
# # ( "#
%
(
" # ( "% ""
# "$ (' ##
#
"
#
#
:'"%>""6)#%@"+&A+F)&-(#%-#%&'"%$(A@*";%F).-.%-.%G<+(6%BC3%/193H97ID%
%
#
%
! "! ! #$ $ %
%
%$
!
!
"
"
"
" " "
" " !
" "! "
! " "
& !!
( !"
%
(
( !# "!
(' ""
:'"%.A6%(<%&'"."%&=(%,-J".%&'"%<A*%@"+&A+F)&-(#D%
# & '" ! (
'
"
%
#
%
! ! ! ! "#$
%
! " ! %! ! %
#
%
%$
#
!
K(=%;-),(#)*-L"%&'-.D%
!"##"#$%
&
( !!
!
(
#
&
'
( !#
'
"
%
!
# ( !% "!
#
" &' ' " " (
(
$
#
" " ( (' ##
&' '
#
%
#
#
#$&$#%
!"#$%&$'()*+,(-.$
!" " ! !" # ! "
#
#
!
"
#!"
#
#
#
!" "
"#
#
#
! !" " ! !" # ! "
#
#
!" "
#
! "$ # ! "
# !" " ! !" # ! " $%# !" # ! " $# ! !" " ! !" # ! " $# ! "$ # ! " $ ! !" " # ! !" " $# ! !" " ! !" # ! " $& " #
!
# !" " ! !" # ! " $# ! !" " ! !" # ! " $%# !" # ! " $# ! "$ # ! " $ ! !" " # ! !" " $& " #
# !" " ! !" # ! " $# ! !" " ! !" # ! " $%" % ! !% #" ! !&$ #% ! # !" " $% & " #
" " !" " ! !" #!'!!! !" " ! !" #!'!!! !" # '
# !% # $% ! # !" " $%
"#$%&! '&#! ()*! +&! ,'-! #.#-/0! '.1$&2! 31$4! ! ! !"#$!"#$ ! +.5! !" ! !"#!#$% & 6! ! 741&!
01#85&!$4#!9,88,31./!:8,$;!
E(MHz)
1000
0
-1000
-2000
200
!
400
600
800
1000
Bext (G)
!
!
<=6<>! ! ! +?! 74#! #.#-/0! 5199#-#.@#! A#$3##.! $4#! !! B! <! +.5! !" B=! &$+$#&! CDEFGD! +.0!
:#-$'-A+$1,.&! +-#! @,.&15#-#56! ! H#! I.,3! $4+$! 9,-! $4#! )! +$,J! 31$4! .,! &:1.! @,.&15#-#52!
!" ! ! #$ !" ! !" ! ! !"#$%%& " ! ! 34#-#! !! ! !! ""# # !" ! $ $%& ! 1&! $4#! 91.#! &$-'@$'-#!
@,.&$+.$6!!74'&!
!
#$%
!!!""
!#
"# !$ ! % " " ( ' "# !$ ! '
! "'()$% ! "$(!$% !
' # *!
&
! & & ") & !
741&!@,--#&:,.5&!$,!+!3+K#8#./$4!,9!!
!
!!
!"
"!&$!$% !&'
!
$ "!!!&' 6!
#$%
"#!#"
"$'!!$%
A?!!74#!@,--#@$1,.!$,!$4#!!!B!<!+.5!!"B=!&$+$#&!5'#!$,!&:1.L,-A1$!@,':81./6!!74#!@,--#@$1,.!
$,!$4#!#.#-/1#&!5'#!$,!!"#$%&'(#)*+&,"-#$.!1&!M9-,J!DN6!O<=6>P?Q!
!"##"#$%
%
#$&$$%
!"#$%&$'()*+,(-.$
!"#
!!"#
! "$ " $ $% %
!
# &! & " "# # !!! " "# # '!' " "#$ ! "&'(!)* # &! & " "# # !!! " "# # '!' " "#$
( &!!! " "% #!! " "#
"&) %
# &! & " "# # !!! " "# # '!' " "#$
! *'*)&)*
%( &!!! " "% #!! " "#
!
%( &!!! " "% #!! " "#
!
!!
"#$%&'!$()$!$(%*!+##,*!$-#./+'*#0'!1#-!! ! ! 2!/.$!1#-!$(%*!&)*'!!! ! " 2!*#!$()$ ! "# ! ! 3!!4.$!
%1! 5'! %67#-'! $(%*! 8-#/+'0! )79! -'5-%$'! $('! *8%7:#-/%$! '7'-6;! %7! $'-0*! #1! !2! .*%76!
!! ! ! " ! " #!!!!!! ! ! " ! " # 2!5'!6'$!)7!'<8-'**%#7!$()$!5'!&)++!*8%7:#-/%$2!/.$!%*!-')++;!$('!
=)-5%7!$'-0!1#-!":*$)$'*>!
!!
!#"
"#! $ "
!
! " %&
#
$
$
%
# '! ' " #" # ! ' #
%
%
"! ' " #% " # #% ! #% " #"$ # % % % $% ' " ' # ' " #$ # $& &'
! % " %& "
( & ! ' # #% " '! ' " #% "
%( & ! ' # #% " '! ' " #% "
#
%
! ' # #% "
#
#
! #% " % %& %" % &
! #% " % %& %" % &
! '(')&)* &
#
#
#
%( ! ' # % " '! ' " % "
%( '! ' " % "
%( '! ' " #% "
!
?'$@*!0),'!)!$)/+'!#1!$('*'!&#--'&$%#7*>!
#
!! !! "
&'()*+,-.-/,+
!%&1"2" '1 ( 2
)+,
-./
!
"! #! "$
$
#"0$
3
$
"
$ # )*
#78$9
"897$
$! #! "$
$
#"0$
3
$
"
"4 # )*
#7#6"
$"76
$!"! "$
$
$"0$
"
" 35 # 3 )* $
"#7#%#
"87%
$!"! $%
$
$%0$
3
$
"
64 # )* #
#7#"9
%74
&A!!B('!&#--'&$%#7!$#!$('!$!C!D!)79!$#CE!*$)$'*!9.'!$#!$('!-'+)$%F%*$%&!$'-03!!B('!&#--'&$%#7!
$#!$('!'7'-6%'*!9.'!$#!$('!!"#$%&'&(%&)*%"!+!%7!$('!,%7'$%&!'7'-6;!%*!GHI3!JDE3KLAM!
$
$
"
& '
"
& '
!"#
!!"#$
! " "$ # % %& $ & &
" % ) ! "'(')&#( & &
" % )!
"
"
% ' !! " $ # %' (
% ' !! " $ # %' (
!
?'$@*!0),'!)!$)/+'!#1!&#--'&$%#7*>!
!
!
!! !! "
"! #! "$
$
&'()*+,-.-/,+
#"0$
1"2
!%&'(
" 34 # 5 )* $
)'+
"#78#9
,-.
"$"87#
!
$! #! "$
$
#"0$
"%
" "$4
# 5 )* $
"#7"56
"%379
$!"! "$
$
$"0$
6
" %45
# 5 )* $
"#7#$9
"975
$!"! $%
$
$%0$
6
" %45
# 5 )* $ !
"#7#$9
"975
9A!!B('!$#$)+!&#--'&$%#7!$#!$('*'!*$)$'*3!!"#5!5'!)99!$('!&#--'&$%#7*>!
!"##"#$%
%
#$&$'%
!"#$%&$'()*+,(-.$
!
!! !! "
&'()*+,-.-/,+
1"2
!%&1"2" '1 ( 2 ! !%)*+
,*.
/01
!
"! #! "$
$
#"0$
" "3 # 4 ,- $
"#6"3"
"4%63
$! #! "$
$
#"0$
5
" "$3
# 4 ,- $
"#6#577
""%68
$!"! "$
$
$"0$
5
" "$3
# 4 ,- $
"#6#577
""%68
$!"! $%
$
$%0$
4
$
""
"$3 # ,- !
"#6#""%
"$684
"#$%&'(!)#!*+,!-./,0123!45675!869(:!)5(!7#''(7)6#;!<#'!)5(!"#"$%!&'()!*"+,-",+)=!!
" % $ " $ "
& '
!! !"#
"
,!
"# ! " # $%
& &
& % ! ' " "$ # %& )(
$
!
-(2!!>5&)!4&9(?(;8)5!'(:#?@)6#;!$@:)!A#@'!B()(7)#'!5&9(!)#!C(!&C?(!)#!&C?(!)#!'(:#?9(!)5(!
)4#! ?6;(:! 6;! )5(! !! D! /! )#! !" D.! )'&;:6)6#;E! ! F(! 7&'(<@?! 5('(,! ! >5(;! A#@! 6;7?@B(! )5(!
7#''(7)6#;3! A#@! 46??! <6;B! )5&)! 6)! 6:! #$%&" '()**! 7#$%&'(B! )#! )5(! @;%(')@'C(B! 9&?@(,! ! F(!
:(;:6C?(!&C#@)!5#4!)#!6;7?@B(!)5(!(<<(7):,!
G5(!)4#!)'&;:6)6#;:!&'(!<'#$!!
-62! )5(! +"D!HI/! ?(9(?! #<! )5(! !"D!/! :)&)(! )#! )5(! !"D!.! :)&)(! -+! D! .I/23! #'! 6;! :%(7)'#:7#%67!
;#)&)6#;3! ! !"#! ! ! "$#! ,!
-662! )5(! +"D!.I/! ?(9(?! #<! )5(! !"D!/! :)&)(! )#! )5(! !"D!.! :)&)(! -+! D! .I/23! #'! 6;! :%(7)'#:7#%67!
;#)&)6#;3! ! !"#! ! ! ""#! ,!
G5(! 4&9(?(;8)5! #<! )5(! )'&;:6)6#;! 6:! C&:67&??A! .//! ;$! &:! 7&?7@?&)(B! 6;! -&2! &C#9(! -)56:!
7#''(:%#;B:!)#!&C#@)!.J,/!(K2,!!G5(!B6<<('(;7(!6;!(;('8A!C()4((;!)5(! ! !"#! !&;B!)5(! ! !"#! !
!
:)&)(:! 6:! "#$
! ! !" # ! %#" ! ! !" # ! %#" ! # #&'##$ ! ('(!)!#$ -&C#@)! 0! %&'):! 6;! .JLM! #<! )5(!
)#)&?! (;('8A! :%&76;82,! ! N@'! O#C! 6:! )#! <68@'(! #@)! 5#4! )56:! )'&;:?&)(:! 6;)#! &! 4&9(?(;8)5!
B6<<('(;7(,!
G5(!(;('8A!&;B!4&9(?(;8)5!#<!)5(!%5#)#;!($6))(B!6;!&!)'&;:6)6#;!&'(!'(?&)(B!CA!!
!!
!"
# $!
" %! ! #
!
"
!
!"
%# $! ! #
%# $! !
!
# $!
# $!
$# $!
$!
!#
# $!
!
P6;7(! 4(Q'(! 6;)('(:)(B! 6;! $&8;6)@B(! #;?A3! 4(! )&R(! )5(! &C:#?@)(! 9&?@(3! &;B! %?@8! 6;! )5(!
&%%'#%'6&)(!;@$C(':=!
!
!" ! "
!! "#
! "#
! !""$%
#$#%&%&'
(#$###&%)*(#$##&%+ ,!
!#$"'&'
-<2!!S:!6)!6$%#')&;)!)#!@:(!)5(!'(B@7(B!$&::!#<!)5(!(?(7)'#;!6;!A#@'!7&?7@?&)6#;:!#'!6:!6)!NT!
)#! @:(! )5(! '(:)! $&::E! ! U:! &?4&A:3! 6)! B(%(;B:! VV! ! G5(! '(B@7(B! $&::! #<! )5(! (?(7)'#;!
B6<<(':!<'#$!)5(!'(:)!$&::!CA!&C#@)!W!%&'):!6;!.J0=!!
!"##"#$%
%
#$&$'%
!"#$%&$'()*+,(-.$
!#! " % $
! ! !"#$
!
!
!!!
!!
!"#$
!"#$
!%
!
! " " !% ! !% !
!
!
!
"
" %&%%%'
% !#$%
!%
"!!!
#$%&!'$(!()(*+,!-.//(*()0(!1('2(()!'$(!'23!(4.''(-!5$3'3)&!23%6-!0$7)+(!1,!3)6,!'$.&!
743%)'8!2$.0$!.&!)(+6.+.16(!1,!3*-.)7*,!671!&'7)-7*-&"!!9)!'$(!3'$(*!$7)-8!'*7)&.'.3)&!3/!
'$.&!',5(!7*(!%&(-!'3!4(7&%*(!/%)-74()'76!03)&'7)'&!'3!7!5*(0.&.3)!3/!1(''(*!'$7)!:!57*'!.)!
:;:<"!!=)!'$.&!07&(8!.'!.&!>(*,!.453*'7)'!'3!7556,!'$.&!03**(0'.3)"!
!
:?":@"!!#$(!A74.6'3).7)!/*34!BC"!D:E"FG!.&! ! "#! ! $!"" ! ! "!!#$(!&5.)!3/!'$(!-(%'(*3)!.&!
!
! ! ! 8!&3!'$(!76632(-!>76%(&!3/!'$(!03%56(-!7)+%67*!434()'%4! ! ! " " # !2.'$! ! ! ! " !/3*!
'$(! (6(0'*3)! 7*(! ! ! !" # "$ "! ! H3! '$(! 0760%67'.3)! .)! '$(! 03%56(-! 17&.&8! 6.I(! 2(! -.-! .)!
BC"!D::"J:G"!!#$(!$,5(*/.)(!A74.6'3).7)!/*34!BC"!D::"J;G!.&!!
"
#
$
$
! "#! ! ! !"" ! ! # ! " ! ! " " ! !
!
!!
!
!
#$(!47'*.K!(6(4()'&!7*(!
"
" "
&
! !" !! ! ! " " ! " # ! !" !
!
!!
&
! ! #$ ! # ! " "$ " ' # ' " "$ " ( # ( " "$ %& ! ! ! !" !! !" ! !
!!
&
! #$ ! # ! " "$ " ' # ' " "$ " ( # ( " "$ %& ' ! !!' " !! " !
!
! !" !! # $%! !" ! !
!
!
L3*!-(%'(*.%48! ! ! ! 8! ! ! ! " 8!7)-! ! ! !" # "$ 8!+.>.)+!'$(!-.7+3)76!(6(4()'&!
!
!" ! # $%! !" !
# !
% " &#!!!! !
%
!$
% "&#!!!! !
%&
$
"
!
!
"
7)-!'$(!47'*.K!
# $! "
"
"
"
"
%
"
"
"
$! "
% "
% "
"
"
"
$! "
!
! "#! ! %
"
"
"
$! "
% "
% "
"
"
" "$ "
%
"
"
"
" "$
$ "
!
#$(!'23!$,5(*/.)(!6(>(6&!7*(!&56.'!1,!'$(!743%)'!
!"##"#$%
%
&
(
(
(
(
(
(
(
'
#
!
$ !#
#
!
$ %!
#
!
$ "%!
#
!
$ "#!
%
!
$ %!
%
!
$ "%!
!
#$&$'%
!"#$%&$'()*+,(-.$
!! !
!
!
"!
"
"#$!%&'(&$)'*! !" ! !"#$% +!,#*-.$&%!(#! ! " ! !"!# /!!0&1,&+!2#$!%&'(&$)'*!
!
!" !
#"
!"#$%
!% !
'()!"(!&%' ! )'%"#!&%' !
#$
$"$&
.1%!(3&!4-5)(()16!)4!
!
!! !
!
"# ! !"#$#!$%& !
"
73&!6$#'1%!4(.(&!38-&$2)1&!4($',('$&!#2!%&'(&$)'*!)4!43#91!:&5#9/!
!
!
:;! ! <#9! 2)1%! (3&! =&&*.1! 4-5)(()16/! ! 73&! =&&*.1! 0.*)5(#1).1! 2$#*! >?/! @AB/CD;! )4!
!! "! ! ! " # #$% ! /! ! E&! ,.1! %#! (3&! ,.5,'5.()#1! )1! &)(3&$! :.4)4F#1&! *.($)G! 9)55! :&! 1#1H
%).6#1.5/! ! I&(J4! %#! (3&! ,#'-5&%! :.4)4+! 5)K&! 9&! %)%! )1! L&,/! AB/M/M/! ! 73&! 38-&$2)1&!
0.*)5(#1).1!*.($)G!)4!6)N&1!.:#N&!.1%!)4!%).6#1.5/!!73&!=&&*.1!*.($)G!)4!1#(!%).6#1.5!)1!
(3&!,#'-5&%!:.4)4!.1%!9&!,.1!2)1%!)(!:8!'4)16!(3&!O5&:4,3HP#$%.1!,#&22),)&1(4!5)K&!9&!%)%!
)1!L&,/!AB/M/B+!93&$&!9&!,#14)%&$&%!(3&!B-!4(.(&!#2!38%$#6&1!9)(3!!! ! !!.1%! ! ! ! " /!!"#$!
(3&! %&'(&$)'*! 6$#'1%! 4(.(&! 9&! 3.N&! ! ! ! ! .1%! ! ! ! " +! 93),3! 6)N&4! (3&! 4.*&! O5&:4,3H
P#$%.1! ,#&22),)&1(4! .1%! 3&1,&! (3&! 4.*&! .16'5.$! *#*&1('*! *.($),&4/! ! 0&1,&! (3&! !" !
*.($)G!2#$!%&'(&$)'*!6$#'1%!4(.(&!)4!&?')N.5&1(!(#!(3&! !" !*.($)G!)1!>?/!@AB/QR;S!
!"##"#$%
%
#$&$!%
!"#$%&$'()*+,(-.$
"
$
$
$
$
!" ! " $
$
$
$
$#
!
!
!
"
#
#
#
#
#
!
$
#
#
! "
%
#
#
!!
$
#
#
#
#
#
!!
"
#
#
! "
%
#
#
!!
$
#
#
! "
%
#
#
# %
'
# '
'
! "
'
%
# '
'
# '
'
!
'&
$
%
"
& "%
%
"
& !"
%
"
& !!"
%
"
& !%"
!
"
& !"
!
"
& !!"
!
"#$#%&!'!())*'%!*'+,#-!./0#%&! ! ! " " " 1!
!
"
$
$
$
!" ! $
$
$
$
$
#
!
#
!
!
"
#
#
!
!
!
!
!
!$ $
#
!
!
!
!
!
!
!
!$ $
#
!
!
!
!#
!
!
!
!"
#
#
#
!$ $
#
#
!
!"
#
#
#
!
%
'
! '
'
!$ $
# # '
! '
'
! '
'
"
##
&
!
#
$
% $#
#
$
% "$
#
$
% !"$
#
$
% !#$
"
$
% "$
"
$
% !"$
!
'%2!'!+3+'4!5),+/,6'+#3%!*'+,#-!
" % !!&
"
"
"
"
"
$
!! !
"
% ! ! #$ &
"
"
"
$
$ &
$
!! !
"
"
% ! ! #$ &
"
"
$ &
$
! "# ! ! $ ! $
"
"
"
"
"
% !!&
$
!! !
$
"
"
"
!% ! #$ &
"
$ &
$
!! !
$#
"
"
"
"
!% ! #$ &
$ &
!
%
'
'
'
'
'
'
'
'
'&
$
!
% !$
$
!
% #!
$
!
% !#!
$
!
% !$!
#
!
% #!
#
!
% !#!
!
7#'&3%'4#8#%&!+9#0!*'+,#-!:#)420!+9)!0#-!)%),&#)0;!
!
!
!
! "" ! ""
!
!
#
#
!! ! %! ! ! &!" ! #'" ! " !! ! %! ! ! &!" ! #'" ! " !
$
$
#
#
!! ! %! ! ! &!" ! #'" ! " !! ! %! ! ! &!" ! #'" !
$
$
"
"
# "
# "
#
#
!
!
!
!
!
!"##"#$%
%
#$&$'%
!"#$%&$'()*+,(-.$
!"#$%&'"#()%
E
Weak Field
Intermediate Field
MF
Strong Field
3/2
1/2
ms mI
1/2
1/2
1/2
1
0
-1
-1/2
F=3ê2
-3/2
F=1ê2
-1/2
-1/2
1/2
-1
-1/2
-1/2
0
1
Bext
%
%
%
*+)*,%%-.'%'//'0$12'%3456'$10%3#3'6$%#/%$.'%4$#3%17%512'6%&8%$.'%7"#9'% !"!"!!" "# %#/%$.'%
:''346%'6';58%9"#$)%%<6%$.'%5;#=6>%7$4$'%#/%.8>;#5'6?%$.'%:''346%'6';51'7%4;'%7.#(6%16%
@15)%*+)**%46>%$.'%'6';51'7%/#=6>%16%!;#&"'3%*+)*A%4;'%
%
!"!!" # #$ $ $ !" %!#!!! #$ $ $ !" %!#!!! !" % %
! !$ % "$ $ ! #$ $ "$ %
(.';'%!%17%$.'%.89';/16'%79"1$$165)%%-.'%'//'0$12'%3456'$10%3#3'6$%17%
%
!"$%"!#
!"## !
! !& !"!!! !& !"!!$
"&
#
# !&# &
" !# ' ## % " !& & ##
%
-.17% 'B40$% 'B9;'771#6% .#">7% 16% 16$';3'>14$'% /1'">7?% 7#% $.';'% 4;'% /#=;% &'437% 16% 4% C$';6D
E';"40.%>'210')%%<6%('4F%3456'$10%/1'">7%G!!" " ! # H?%$.'%3#3'6$%&'0#3'7%
%
!"## !$"%&
" !'" '
! !' !!!!" !' !!!!!
! !' !!!!" !' !!!!# %
(
7#%$.';'%4;'%$.;''%&'437%16%4%C$';6DE';"40.%>'210')%%<6%7$;#65%3456'$10%/1'">7%G!!" " ! # H?%
$.'%3#3'6$%&'0#3'7%
%
!"## !$"%& ! !' !!!!" !' !!!!!!!
!'" '
! !' !!!!" !' %
!' '
7#%$.';'%4;'%$(#%&'437%16%4%C$';6DE';"40.%>'210')%
%
%
!"##"#$%
%
#$&$'%
!"#$1&$'()*+,(-.$
13#1 %&' '()&*+,' -.'/*0-/ !12 12 3'41+'3 56 102 *)01-+ -+ * ,'+'/*7 08-9.*/01)7' 20*0':
#
!!" ! n# ! !! "! n$ ! !" " %!%" &!&"
$ % ! ! ! "! ! ! " % % & &
n#
"
n$
!
" !
"
!
8&'/' 8' '(.71)1076 2.')146 0&' 2.*)' *+3 2.1+ .*/02 -4 0&' 20*0'# %&' '1,'+;*7<' '=<*01-+
4-/ 0&' '()&*+,' -.'/*0-/ 12
!!" ! " ! " ! "
8&'/' ! 12 0&' '1,'+;*7<' *+3 ! " 12 0&' '1,'+20*0'# >' )*+ '(./'22 0&' '1,'+20*0' *2 *
,'+'/*7 2<.'/.-2101-+ -4 20*0'2:
!" !
# n" " !! ## n# " !" # $!$" %!%"
$
n" n# %!%"
?)0 -+ 0&' '1,'+20*0' 810& !!" 081)':
$
!!" !!" ! " ! !!" !!"
# "# " !! ## "$ " !" # %!%" &!&"
"# "$ &!&"
$
!!" " ! " ! !!"
# "# " !" ## "$ " !! # %" %!&" &!
"# "$ &!&"
"" ! " !
$
# "# " !! ## "$ " !" # %!%" &!&"
"# "$ &!&"
"" ! " ! ! "
%&<2 ! ! ! " *+3 8' 41+3 0&' '1,'+;*7<'2 -4 !!" :
! ! "!
13#2 A-/ 08- 2.1+90 5-2-+2C 0&' -+76 .-22157' 20*0' -4 0&' 2620'D 12
!1!2 "1"2 ! 0000
8/100'+ 1+ 0&' <+)-<.7'3 5*212# %&' 0-0*7 E)-<.7'3F 2.1+ ! ! !1 " ! 2 12 G'/-C 810& 0&' -+76
.-22157' 20*0' 5'1+, !" ! !! # %&'2' 08- 20*0'2 D<20 5' 0&' 2*D' 20*0'
!! ! !!!!
H'+)' 0&' *)01-+ -4 0&' '()&*+,' -.'/*0-/ !!" 12
!!" ## ! !!" #### ! #### ! " ##
2- 0&' 20*0' !" ! !! 12 26DD'0/1) 810& /'2.')0 0- '()&*+,' -4 0&' 08- .*/01)7'2#
13#3 A-/ 08- 2.1+91 5-2-+2C 0&' 20*0'2 -4 0&' 2620'D 8/100'+ 1+ 0&' <+)-<.7'3 5*212 */'
!!!" "!"" ! !!"!""
810& I .-22157' )-D51+*01-+2 -4 !! *+3 m2 # %&' 0-0*7 E)-<.7'3F 2.1+ ! ! !! " ! 2 12 0C 1C
-/ 2C 810& 0&' .-22157' 20*0'2 5'1+,
6/11/12
1&'1
!"#$%&$'()*+,(-.$
! 00 "!!# state
##
S" ! " #" "!!) states !
#
#$ 2" "!!5 states
!
"#$! %&'(! %)*)$%! +,-! )#'%! %y%)$/! )#*)! *-$! %y//$)-'0! ,-! *()'%y//$)-'0! 1')#! -$%&$0)! ),!
$20#*(3$!,+!)#$!)1,!&*-)'04$%!*-$!)#$!0,5&4$6!7*%'%!%)*)$%8!!",!%$$!)#'%!1$!($$6!),!1-')$!
)#$!0,5&4$6!7*%'%!%)*)$%!'(!)$-/%!,+!)#$!5(0,5&4$6!7*%'%!%)*)$%!5%'(3!)#$!94$7%0#:;,-6*(!
0,$++'0'$()%!+-,/!9#*&)$-!<<8!!=%'(3!)#$!0,$++'0'$()%!'(!"*74$!<<8>?!1$!+'(6!)#$!%)*)$%!
!! ! """"
!" !
"
!
"""# "
!# !
"
$
"""% !" "
!
&
""## "
!% !" !
"
!
""#% !" "
"
!
""% !"#
"
!
""#"
"
$
""% !""
!% !! ! ""% !"% !"
!
!
"" !
"
!
"""# !
"# !
"
!
"""% !" !
"
!
""% !""
"% !" !
"
!
""#% !" !
"
!
""% !"#
## !
"
&
"""% !" !
"
&
""## "
"
!
""#"
"
&
""% !""
9,(%'6$-'(3!)#$!*0)',(!,+!)#$!$20#*(3$!,&$-*),-! !!" !,(!$*0#!,+!)#$%$!@!%)*)$%?!1$!%$$!)#*)!
" " "# #!!" = 0%!2
$
!12 "# = #
!
#!!"
=
1
!
"#
$%
!
S,!)#$! ! ! !" # !%)*)$%!*-$!!"##$%&'c!1')#!-$%&$0)!),!$20#*(3$!,+!)#$!)1,!&*-)'04$%!*(6!)#$!
S ! !!%)*)$%!*-$!a*%'!"##$%&'c!1')#!-$%&$0)!),!$20#*(3$!,+!)#$!)1,!&*-)'04$%8!
!
<B8C!!",!6$)$-/'($!)#$!$20#*(3$!%y//$)-y!,+!$*0#!%)*)$?!*0)!1')#!)#$!$20#*(3$!,&$-*),-!
!!" D!
!12! " ! #1 # #2 " = !12
!
1
1
1
=
=
= +! " ! #1 # #2 " !
! #1 + #2 " ! #2 + #1 " ! #1 + #2 "
S,! ! ! ! x1 , x2 " !'%!!"##$%&'c!1')#!-$%&$0)!),!$20#*(3$!,+!)#$!)1,!&*-)'04$%8!
!
!!"! " ! #! # #" " # !!"
$ ! #! " #" "
! #! " #" "
"
$"
#
$ ! #" " #! "
! #" " #! "
"
$"
#
"$ ! #! " #" "
! #! " #" "" $ "
# "! " ! #! # #" " !
S,! ! ! ! "! " "# " !'%!a*%'!"##$%&'c!1')#!-$%&$0)!),!$20#*(3$!,+!)#$!)1,!&*-)'04$%8!
!"##"#$%
%
#&'$%
!"#$%&$'()*+,(-.$
!
!!"! c ! x! # x" " # !!"
a ! x! " $x" "
! x! $ x" "
"
$b
#
a ! x" " $x! "
! x" $ x! "" $ b
# $! c ! x! # x" " !
"o! ! ! ! "! " "# " ! is! n'i()'*! ! s+,,'(*ic! no*! .n(is+,,'(*ic! /i()! *'s0'c(! (o! '1c).n2'! o3! ()'!
(/o!0.*(ic4's5!!6(!is!no(!.n!'i2'ns(.('!o3!()'!'1c).n2'!o0'*.(o*5!
7o*!()'!4.s(!s(.('! ! d ! x1 , x2 , x3 " /'!,8s(!consi9'*!()'!'1c).n2'!o3!!"#!0.i*!o3!0.*(ic4's:!
!
!
!
!12! " ! #1 , #2 , #3 " # !12
#1 #2 #3
# ##
## #
# 2 22 1 3 2
# 2 12 2 3 2
2
2
# $ #2 $ #3 $ $ #2 $ #1 $ #3 $ $ #1 $ #2 $ #3 $ $ !
2
1
# $! " ! #1 , #2 , #3 "
!!"! " ! #! # #$ # #" " # !!"
#! #$ #"
###
## #
# $ "$ $ ! $
# $ !$ $ " $
$
$
# $ #$ $ #" $ $ #" $ #$ $ #! $ $ #! $ #$ $ #" $ $ !
$
!
# $! " ! #! # #$ # #" "
!!3! d ! x1 $ x! $ x3 " # !!3
x1 x! x3
xxx
xx x
# ! 1! 3 ! !
# ! 1! ! 3 !
!
!
x $ x! $ x3 $ b x1 $ x3 $ x! $ b x1 $ x! $ x3 $ b !
!
1
# $! d ! x1 $ x! $ x3 "
"o! ! ! ! "! " "# " "$ " !is!$#%%&'()*!/i()!*'s0'c(!(o!'1c).n2'!o3!.n+!(/o!0.*(ic4's5!
!
1355!!>)'!2@0.*(ic4'!/.A'!38nc(ion!is!.!0*o98c(!o3!(/o!sin24'@0.*(ic4'!/.A'!38nc(ions!3o*!
9is(in28is).B4'!0.*(ic4's:!!
!
! n" =0"n# =1 $$1 " $% & = " 0 $$1 &"1 $$% & 5!
7o*!()'!sin24'!0.*(ic4'!/.A'!38nc(ions!/'!8s'!()'!9i,'nsion4'ss!).*,onic!osci44.(o*!/.A'!
38nc(ions:!
$ # x& &
"
"$ %
5!
& # x& &
!$ "x# ! $ % x"
"
! ! "x# !
!
>)'!3o44o/in2!04o(s!3o*!()'!0*oB.Bi4i(+!9'nsi(+!*'s84(5!
C.D!!Eis(in28is).B4'!0.*(ic4's:!F'!co849!'i()'*!).A'!!.!G!0!.n9!!B!G!1!o*!!.!G!1!.n9!!B!G!0,!
/)ic)!.*'!9i33'*'n(!in!()is!c.s':!
!"##"#$%
%
#&'&%
!"#$%&$S()*+,(-.$
!
!
!
!
"#$!!%&i()*!#+,+(,-!!./e!,&i(!&123!+4!3/e!,313e!i,!(e5e,,12i67!,788e32i59!,+!3/e!,&15e!&123!
8:,3!16,+!#e!,788e32i5-!
!
! !"# !!""$ !# $%# " %% & !
#
%
#"
!
$%# &"# $%% & " " ! $%% &"# $%# &$ !
!
!"11"12%
!
%
13'4%
Ch. %3 Solutions
!"#$%&'#()#'#(&'*$+&' !! ! !" '%,"--&-',&.$"+-'"/'0&,1'($.('2,"3)3$*$#1')42*$#56&7''8+'"#(&,'
9",6-:' $/' 1"5' )-;&6' #(&' <5&-#$"+:' =>()#' $-' #(&' 2,"3)3$*$#1' #()#' 2),#$%*&' ?@' $-' $+' -"4&'
$+#&,0)*' ),"5+6:' -)1:' !! ! " " # :' -53A&%#' #"' 2),#$%*&' ?B' !"#$' 3&$+.' $+' #()#' $+#&,0)*C=:' #(&'
)+-9&,' 9"5*6' 3&' =<5$#&' .""6=:' %&'!%("&##' "/' 9()#' 2"-$#$"+' $+' #(&' 3"D' 1"5' )-;&6' #(&'
<5&-#$"+' )3"5#7' ' EF30$"5-*1' +"#' )3"5#' !! ! " :' 35#' #($-' $-' )' +"6&' $+' "+&' "/' #(&' -$+.*&G
2),#$%*&' 9)0&' /5+%#$"+-' )+19)1:' )+6' #(&' +"6&' 6"&-+H#' )22&),' 3&%)5-&' "/' #(&'
-144&#,$I)#$"+',&<5$,&4&+#J7''K"-"+-'$+')'3"D'#&+6'#"'-&&;'&)%('"#(&,'"5#'&)&* ,-$.',-&/ !%& 0*$*12*,&%!3,2*'0 4!%,23"&#5'
E%J' ' L2$+' !' /&,4$"+-' $+' )' -2$+' #,$2*&#' -#)#&7' ' M(&' -2$+' #,$2*&#' -#)#&' $-' -144&#,$%:' -"' #(&'
-2)%&'2),#'45-#'3&')+#$-144&#,$%N''
'
! "!# !!""$ !# (x# " x% ) !
#
%
""
!
(x# )"# (x% ) # " ! (x% )"# (x# )# '
'
'
!"#$%&'#()#'#(&'*$+&' !! ! !" '/)**-'$+')',&.$"+'"/'0&,1'*"9'2,"3)3$*$#1')42*$#56&7''8+'"#(&,'
9",6-:' $/' 1"5' )-;&6' #(&' <5&-#$"+:' =>()#' $-' #(&' 2,"3)3$*$#1' #()#' 2),#$%*&' ?@' $-' $+' -"4&'
$+#&,0)*' ),"5+6:' -)1:' !1 = " " # :' -53A&%#' #"' 2),#$%*&' ?B' !"#$' 3&$+.' $+' #()#' $+#&,0)*C=:' #(&'
)+-9&,' 9"5*6' 3&' =0&,1' -4)**=:' %&'!%("&##' "/' 9()#' 2"-$#$"+' $+' #(&' 3"D' 1"5' )-;&6' #(&'
<5&-#$"+')3"5#7''O&,4$"+-'$+')'3"D'#&+6'#"')0"$6'&)%('"#(&,'&)&* ,-$.'- ,-&/ !%& 0*$*1
2*,&%!3,2*'0 4!%,23"&#5
'
@P7Q7''R&#H-'5-&'3,)G;&#'+"#)#$"+'5+#$*'#(&'0&,1'&+6'#"'4);&'*$/&'-$42*&,7''
'
! ! !! ! "" #
!
!""
sin
'
#
#
!
M(&'&D2&%#)#$"+'0)*5&'"/'#(&'-<5),&6'2),#$%*&'-&2),)#$"+'%)+'3&'9,$##&+')-'
'
!"11"12%
! !1 ! !2 "2
# !12 ! 2!1 !2 $ !22
! !1 ! !2 "
# !
2
$ !
2
1
%
2
2
! 2 !1 !2
'
1&'(%
!"#$1&$'()*+,(-.$
!"#$"%#$&'#(($)*+(+,$&'($-./*#&0)1($2*3($4%5)&0"5$0+$*$/#"6%)&$"4$&2"$+0571(./*#&0)1($2*3($
4%5)&0"5+$ (0&'(#$ 5"&$ +899(&#0:(6$ (60+&057%0+'*<1(),$ +899(&#0:(6$ (>"+"5+),$ "#$
*5&0+899(&#0:(6$(!(#90"5+)$20&'$#(+/()&$&"$(?)'*57($"4$&'($&2"$/*#&0)1(+@$
! ! = "# " "
$
!
#
2
!$ =
!
2
#$ "# " #" %& $
!% =
!
2
#$ "# ' #" %&
A(&B+$40#+&$1""C$*&$60+&057%0+'*<1($/*#&0)1(+$
!12
$
"
! #$ !12 #$ ! # !12 # $ $ ! ! 2 # $
2'(#($&'($6%998$"4$05&(7#*&0"5$6"(+$5"&$9*&&(#$+"$
!!
$
"
! " ! "" " ! #!! !! " " ! # #!! ! " ! ! ! " " ! # #!! $
$
$
#
#
!
0+$*$+0571(./*#&0)1($(?/()&*&0"5$3*1%(@$$A0C(20+(,$2($7(&$
!22
$
"
!1 !2
! #$ !22 #$ ! # # $ !22 $ ! ! 2
"
! #$ !1 !2 #$ ! # !1 # $ !2 $ ! !
! !! ! !" ""
$
"
# !"
#
$ !"
"##
!
!
2
!" $% " %$ #$ !!2
!
2
!" !
$
D'%+$2($"518$5((6$&"$6"$&2"$&8/(+$"4$05&(7#*1+$ ! !
*56$>"+"5+$<(4"#($2($6"$&'($05&(7#*1+@$
!!2
$
#
#
!
$
$
! $$
"#$ ! " @$$A(&B+$)"5+06(#$!(#90"5+$
"
!" $% " %$ #$
! !2 !" $ !!2 $ % % " $ !!2 % % $ " % !!2 $ $ % # % !!2 % $ $ #$ $
$
! !2 !" $ !!2 $ " $ " $ # % !!2 % #$ ! !2 !" ! 2
!1 !2
"##
$
=
1
2
!" $% " %$ $# !1 !2
1
2
$
# ! 2 % #$
!" $% " %$ #$
= 12 !" $ !1 $ % !2 % " $ !1 % % !2 $ " % !1 $ $ !2 % + % !1 % $ !2 $ #$ $
= 12 !" !
$
!
%
" !
$%
!
"#
!
%$
" !
%$
!
$%
+ !
%
! $ #$ = !
$
!
%
" !
2
$%
2'(#($
$
! " ! # ! " ! "! " ! #!!!! # " ! # $! @$
%
0
D'%+$2($7(&$
$
!
! x1 ! x2 "2
"# #
= x2
$
+ x2
%
!2 x
$
x
%
!2 x
2
$%
$
E"$5"2$2($'*3($&"$6"$*5$(?&#*$05&(7#*1@$$A(&B+$6"$&'"+($05&(7#*1+F$
!"##"#$%
%
#&'!%
!"#$%&$S()*+,(-.$
x!
"
! " ! "" " x #!x !! " " x # #x! ! " x ! ! " " x # #x!
$
$
#
#
!
! $
!$ $ '
$ "#x '
#x! ! & )
! " x ! $%& ! &
)
% $ (
$ #
$ % "# (
'
"
"#
#
% ! $%& ! " % # #%
"#
'
% ,-$ !% .
! $ $ ' + %' $ %! * '
! & ) - * & * ) $%& !% *
0
) /#
$ % "# ( , ( % ) + (
!
!
!$ $ '
& )
$ % "# (
'
!
+ " "# #' $ " "# #! * '
" "# # ,-$ " !"# # .
*&
* ) $%& " !"# # *
0
)
+(
% )
0/
-, (
'
'
! $ $ ' + " "# # " "# # .
* '
$*
! & ) ! $! & * ! ! )
*
0
% ' !" # (
$ % "# ( -, (
) /0
!
"
= " ! "! ( ! )!!!! " ( ! ) #!! = " ! ! " ( ! ) #!!
$
$
"
"
#
# $
#$ $ '
$ "#! '
#!! = & )
= " ! $in # &
)
% $ (
$ "
$ % "# (
!
#
"
"#
"
%$in # ( % ) #%!
"#
!
# $ $ ' + % # %$in #% ()$ #% .
= & ) - *
*
$ % "# ( , '
'
* 0/ "
#
#
#
#
#
# $ $ ' + ( "# ) "# $in ( #"# ) ()$ ( #"# ) + . # $ $ ' + ( "# ) . $
= & ) *
*
+ 0= & ) 0=
'
*
$ % "# ( -, '
* 0/ $ % "# ( -, ' 0/ #
"#!$%&$'($)*!!+,)!
x
! n x # ! " ! n! " x #!x!! # " x # $x! !
%
n#
"
# $ %'
! & )
% % #(
#
"
#
"
# % n# x
## x
$%&
x $%&
$x!
"
%
%
% "
# $ %'
&$%& " n& # $%& " #& # $&! ! & )
% % #(
#
"
#
"
& '# +, ()$ " n * # # & * ()$ " n $ # # & -. $&!
#
!
#
' $ % ' + ()$ " n * # # & &$%& " n * # # & ()$ " n $ # # & &$%& " n $ # # & ! & ) /
$
*
*
% % # ( /, " n * # ##
"n * # #
" n $ # # 00."
" n $ # ##
!
' $ %'
& )
% % #(
!
%
##
#
*!
+ ()$ " n * # # # ()$ " n $ # # #
'
' *
*
/
0
#
#
# $
"n $ # #
" n * # # " n $ # ## 0.
/, " n * # #
+ '
**%n#
' n$#
+
-!
/
# *
# 0 ,' * " *'#
.
#
/, " n $ # # " n * # # 0.
# n# * # #
"
#
#
+' * " *'#n$# ,
.
-./#!/#!0$12!3.$,!4!!5!k6!/#!$7$,8!9$",/,:!3.$,!!!",)!k!"1$!;2(.!$7$,!21!;2(.!2))8!3./'.!
1$<"($#!(2!(.$!2))!21!$7$,!#=99$(1=!2>!(.$!3"7$>?,'(/2,#*!!@?((/,:!(./#!(2:$(.$1!:/7$#!
!"##"#$%
%
#&'(%
!"# 1& '()*+,(-.
! x! ! x" ""
"
# x"
#
$ x"
$
!" x
#
x
$
%%
! &
! &
#!
#!
# %" % ! " " ( $ %" % ! " " ( ! "
$ # "# " '
$ # "$ " '
" "
!
! &
! # !
! &&
#!
#" !
# %" % ! ! " " ! " " ( # %" % ! " % " $ " ( (
$ # " "# "
$ $ "" $ #
"$ " '
$ ''
! !! ! !" ""
"##
# !"
$
$ !"
%
!" !
!
$
%
!" !
"
$%
!%&$%
! # !
! &,
)!
# &" + ! " % " $ " ( . ! "
% '* $ "" $ $
"" $" ! % "
!
"
"
)! ! ! !!"
*
,
-
$%&" $ " % "
! # !
! &,
)!
$$%
)
,
# & + ! " % " $ "(.!
% *! ! ! !!"
%
"
"
% '- " $ !%
* $ "" $ $
"
!
"#$$%&'(')*+
! !! ! !" ""
! !! ! !" "
"
$$%
"
!
"
! # !
! &&
#!
= #" % ! " % " + " ( (
$ # "" $ $
% ''
"
! # !
! &,
#%#" $ " % "
)!
$+%
)
,
= # + ! " % " + "(.!
% *! ! ! !!"
%
"
"
'
$
#
$
""
%
*
- " $ !%
"
&$'
!
"
!
,-& ./0 1-203. 4 3.%.03 5n 6 78 " 6 49 ./0 0:;0<.0= ').0&;%&.'<10 3;%<')*3 %&0
! !! ! !" ""
! !! ! !" ""
! !! ! !" ""
"
$
%
# #$%"#
# #$"##
# #$&!#
3/-2')* ./0 .0)=0)<> ?-& @-3-)3 .- %..&%<. %)= ,0&$'-)3 .- &0;01A
7BACA D0E11 #30 F&%GH0. )-.%.'-) ./&-#*/-#. ./'3 ;&-F10$ %)= ./0) #30 ./0 1%==0&
-;0&%.-&3 .- <%1<#1%.0 %)> &0I#'&0= $%.&': 010$0).3A J/0 0:;0<.%.'-) K%1#0 -? ./0 3I#%&0=
;%&.'<10 30;%&%.'-) <%) F0 2&'..0) %3
! !1 ! !2 "2
# !12 ! 2!1 !2 $ !22
! !1 ! !2 "2
# !12 $ !22 ! 2 !1 !2
,-& -#& ./&00 <%3038 ./0 4G;%&.'<10 2%K0 ?#)<.'-) '3 % ;&-=#<. -? .2- 3')*10G;%&.'<10 2%K0
?#)<.'-)3 0'./0& )-. 3>$$0.&'(0= 5='3.')*#'3/%F1098 3>$$0.&'(0= 5@-3-)398 -&
%).'3>$$0.&'(0= 5,0&$'-)39 2'./ &03;0<. .- 0:</%)*0 -? ./0 .2- ;%&.'<103A
!"11"12
1&-8
Ch. %& Solutions
! ! = "# " "
!
#
"
!$ =
!
"
#$ "# + #" %&
!% =
!
"
#$ "# ' #" %&
"#$%& '()&$ *++, -$ .(&$(/01(&2-3*# 4-)$(5*#&
!!2
62#)# ! !
"
"
! #$ !!2 #$ ! # !!2 # $ $ ! ! 2
#
(& - &(/0*#74-)$(5*# #84#5$-$(+/ 9-*1#: "(,#6(&#; 6# 0#$
!!!
"
!" !!
! #$ !!! #$ ! # # $ !!! $ ! ! !
"
$
! #$ !" !! #$ ! # !" # $ !! $ ! !
#
!
$
0(9(/0
! !! ! !" ""
"
# !"
#
$ !"
$
!" !
<21& 6# +/*= /##. $6+ $=4#& +' >-$)(8 #*#>#/$&? ! 2
@#)>(+/& -/. A+&+/& 3#'+)# 6# '(/. $2# >-$)(8 #*#>#/$&:
!12
"##
=
1
2
!" n% " %n $# !12
1
2
!
#
n
$
"#$ ! n :
"#$%& 5+/&(.#)
!" n% " %n #$
= 12 !" n !12 n % % " n !12 % % n " % !12 n n % + % !12 % n n #$
= 12 !" n !12 n " 0 " 0 + % !12 % #$ = 12 !" ! 2
!1 !2
"##
=
1
2
!" n% " %n #$ !1 !2
1
2
n
+ ! 2 % #$
!" n% " %n #$
= 12 !" n !1 n % !2 % " n !1 % % !2 n " % !1 n n !2 % + % !1 % n !2 n #$
= 12 !" !
n
!
%
" !
n%
!
%n
" !
%n
!
n%
+ !
%
! n #$ = !
n
!
%
" !
2
n%
62#)#
!
n#
! n!# :
<21& 6# 0#$
!
! !! ! !" ""
"# #
# !"
$ !"
$
%
!" !
$
!
%
!" !
"
$%
B+ /+6 6# 2-9# $+ '(/. -/ #8$)- >-$)(8 #*#>#/$: "#$%& '(/. $2#> 1&(/0 $2# *-..#)
+4#)-$+)&?
6"11"12%
%
1&'9%
!"#$%&$'()*+,(-.$
!2
"
!
2
2
!
!
" a" + a " =
" a " + a "a + aa " + a 2 "
2#!
2#!
!
!
=
" a "a + aa " " =
" " " + " +1 " +1 "
2#!
2#!
!
!
=
# 2" + 1$ = # " + 12 $
2#!
#!
#
= " !2 " =
$
# $
"#$
!
!
" $" " $ "
!#!
! "!" !
"
!
!
!
""
"# " $ " " " " $ " $% !
!#!
!#! #
!
!
" " " # " " " # " " " " & # $ ! $ &'()* " # ! ' "#
%
!#! #
" "# " "# " "
" " & # $%
!
"% &'(&)*&$+ ,#$
!
n#
! n!# !
!
n %" " % #
!$!
!
!
!$!
#n%
!
!
!$!
#
"
$
# " n%# !
!
!$!
!
# "# # "# " n
$
!
!$!
# "# n # "# " # n # "# !
!
-.**/#0 *1/% *20&*1&3 0/4&%
! !1 ! !2 "2
#n
"
# !2
#
#
$ !2
$
!2 !
#
!
$
#
#
$
# # "# +
n# n$# "# " ## n$# "#
$
!
!
# $ 12 " $
!
! $ $ 12 "
%"
%"
!
! # $ $ $ 1"
%"
( !! ! !" )"
"##
= !"
=
+ !"
$
!" !
%
$
!
%
!" !
"
$%
"
"
( $ + % + !) ! ( $# $#% +! + %# $#% !! )
&"
&"
5.66"3/7/#08
! x! ! x" ""
! x! ! x" ""
"
!
! n $ % $ !"
#"
!
!
#
! n $ % $ !" " ! n# n#% $! $ %# n#% !! "
#"
#"
#
&#'
!
923 *1& :2;&%* 2 %*"*&% =! > 0@ " > 1B *1& &'(&)*&$ /#*&3("3*/):& %(")/#0% "3&
!"11"1$%
%
1&'10%
!"#$%&$'()*+,(-.$
! !! ! !" ""
! !! ! !" ""
!
!
! !! ! !" ""
"
$
%
!
#"
"!
!
!
#
!
#!
!
#" #"
#"
"!
!
!
#
$
##
#" #"
#"
#"
"#$%&'(!)#*!)*'+*',-!.$/!0$"$'"!)$!1))/1,)!1'+!2*/3&$'"!)$!/*4*56!
!
1869!!2$/!)#*!.&/")!*:,&)*+!")1)*!$.!)#*!&'.&'&)*!";<1/*!%*55!"-")*3!%&)#!$'*!41/)&,5*!&'!)#*!
"&'(5*=41/)&,5*!(/$<'+!")1)*! 1'+!$'*! 41/)&,5*!&'!)#*!.&/")! "&'(5*=41/)&,5*! *:,&)*+!")1)*,! )#*!
4/$?1?&5&)-!+*'"&)&*"!.$/!)#*!+&")&'(<&"#1?5*!@!A!41/)&,5*!,1"*,!)#*!"-33*)/&,!@SA!&+*')&,15!
41/)&,5*!,1"*!1'+!)#*!1')&"-33*)/&,!@#A!,1"*!1/*!
P! ! "! " "# " # !! ! "! "! # ! "# " #
#
$
# "" &
# #" "# &
%&' # % ! ( %&' # %
#
$ # '
$ # ('
#
!
)!! ! "! "! # ! "# "!$!!! ! "# "! # ! "! " +,
PS ! "! " "# " #
#*
!
#
# #
#
#
) # " "! & # #" "# &
# " "# & # #" "! & +
-%&' %$ # (' %&' %$ # (' $ %&' %$ # (' %&' %$ # (' . !
*
,
!
)!! ! "! "! # ! "# "!/!!! ! "# "! # ! "! " +,
P% ! "! " "# " #
#*
#
# #
#
#
#
) # " "! & # #" "# &
# " "# & # #" "! & +
-%&' %$ # (' %&' %$ # (' / %&' %$ # (' %&' %$ # (' .
*
,
#
B$!.&'+!)#*!41/)&,5*!"*41/1)&$'!4/$?1?&5&)-!+*'"&)-! P ! !1 ! !" " ,!31C*!1!,#1'(*!$.!D1/&1?5*"!
./$3!)#*!&'+&D&+<15!,$$/+&'1)*"!$1!1'+!$2!)$!)#*!,*')*/=$.=31""!1'+!/*51)&D*!,$$/+&'1)*",!
1'+!31C*!)#*3!+&3*'"&$'5*""!.$/!'$)1)&$'!"&345&.&,1)&$'!
"& " * %
x! " x" !
x! !
"&
" !
" %
!!!$!!!
!
!
"& # * %
x'() ! # x! # x" $ " *
x" !
%
" !
!"# !
!
1'+! )#*'! &')*(/1)*! $<)! )#*! ,*')*/=$.=31""! ,$$/+&'1)*6! ! B#*! )/1'".$/3*+! 4/$?1?&5&)-!
+*'"&)&*"!1/*!
6"11"12%
%
13'11%
!"#$%&$'()*+i(n.$
"
$%& # !" '# ! #" $ # " #$ $%& # ! #" % # "
#
$
#
#
P% ! "! # " # # !"$%& !" '# ! #" $ # " #$ $%& ! #" % # " $ $%& !" '# ! #" % # " #$ $%& ! #" $ # " #$ !
$
#
#
P& ! "! # " # # !"$%& !" '# ! #" $ # " #$ $%& ! #" % # " % $%& !" '# ! #" % # " #$ $%& ! #" $ # " #$
$
P! ! "! # " #
!
"#$!i&'$()*'i+&!i,!*-+&(!*!-i&$!.+)!/#i0#! !! ! !" ! #$%&'(%' 1!!2+)!$3*45-$6!.)+4!'#$!5+i&'!
!! " # !'+!'#$!5+i&'! !! ! ! "" 6!*,!,#+/&!7$-+/1!
L
X2
L , L - X1
0
0
X1 , 0
!
L
X1
!
8&! '$)4,! +.! '#$! ')*&,.+)4$9! 0++)9i&*'$,6! '#i,! i&'$()*-! i,! .)+4! ! ! " 2 ! '+! ! = ! " " ! 6!
/#i0#!*,,:4$,!'#*'! !! ! !" 6!*&9!'#:,! ! ! ! 1!!2+)!'#$!9i,'i&(:i,#*7-$!0*,$6!'#$!i&'$()*'i+&!
(i;$,!
P! ! " " # #
! "" "
""
P! ! #! " " $# #
#
%"
#
! "" "
""
$%& " $% '" ! "# $ " " &' $%& " ! "# " " " $#
! "" "
!
# $#
&
# " ( $ '(' $%& ! "# " )" " " '(' $%& ! ## " "" " $ #*' $%& ! (# " " " " '* $%& ! "# $ " " )
% %#
'" "
#
#
%"
!
$! " " '
& '
'
"
'
$
$%&
""
"
$%&
#"
(
#*
(% #
)' # %" !! " " $ ) $%& "" " '" $%& #" "
"#i,!i,!,<44$')i0!*7+:'! ! ! 0 6!,+!'#$!.:--!)$,:-'!i,!
!
P! ! " " #
1
!! " " $ 2# $%& 2 " " 121 $%& ' " " !
#2
2+)!'#$!i9$&'i0*-!5*)'i0-$!0*,$,6!/$!($'!
!"##"#$%
%
#&'#$%
!"# 1& '()*+,(-.
P!!" ! # " = #
! "# "
#"
=
"
&"
"
= "
&
P!!" ! $! # " %$
#
! "# "
#
! "# "
#"
#"
$%#$% $% &" ! "$ $ # " &' #$% ! "$ " # " % #$% $% &" ! "$ " # " &' #$% ! "$ $ # " &' %$
"
(*#$% " $% &" ! "$ $ # " &' #$% " ! "$ " # " $ #$% " $% &" ! "$ " # " &' #$% " ! "$ $ # " ,*
)
- %$
&
&
*+ % #$% $% " ! "$ $ # " &' #$% ! "$ " # " #$% $% " ! "$ " # " &' #$% ! "$ $ # "
*.
! "# "
$ $' $ &(& #$% ! "$ " )# " " &(& #$% ! '$ " "# " $ '*& #$% ! ($ " # " " &* #$% ! "$ $ # " &
0
" /
= " / $' $ &(& #$% ! "$ $ )# " " &(& #$% ! '$ $ "# " $ '*& #$% ! ($ $ # " " &* #$% ! "$ " # " 0
& /
0
$
&
&
&
% % & * ! +,# # $ +,# )# " $ '* #$% ($ " &( #$% '$ +,# # $ * !& " " +,# "# " #$% "$ ' ' # "
&
= "
)&
"
(*!! " # " $%&" $ ( ! +,# "# ! " +,# # " &' ,* $ +,# ! # " " &
0
/
)
"
/
!#$%
#
$
#$%
"#
!
#$%
)#
#$%
#
"
! " 0'
+*
.* %
!
"#$%&' ()%* %* *+,,-(.%/ $012( ! = ! ' *1 ()- 3244 .-*24( %*
1
P!!" ! # " = 2
#$
!
')!! " # " #$12 $ % ! &'( 2# ! 2 &'( # " %& +) # &'( 2 ! # 2 " %
/
(
,.
2
.
)* !) (*+ # $ ) (*+ 2 # ! (*+ # #
)- $ (*+ ! # 2 " /&
541(6
PHx1 -x2 L
symmetric
antisymmetric
distinguishable
0
-L
x1 -x2
L
789: ;3 01() <$.(%/4-* $.- %& ()- *$,- *($(-' ()-& ()- <.10$0%4%(+ =-&*%(+ %*
P ! x! " x# " # ! ! x! " x# " # " "# ! x! "" "# ! x# " # " "# ! x! " " "# ! x# "
#
#
#
#
31. ()- =%*(%&#2%*)$04- $&= 01*1& /$*-*' $&= %* ->2$4 (1 ?-.1 31. ()- 3-.,%1& /$*-9 @)1&-A<$.(%/4- <.10$0%4%(+ =-&*%(+ %*
!"11"12
13'13
!"#$%&$'()*+,(-.$
"
!
"
P ! x! " # # P ! x! " x2 " "x2 # # $ #$ ! x! " $ #$ ! x2 " "x2 # $ #$ ! x! "
!"
2
2
2
!"
# $ #$ ! x! "
#
"
!"
$ #$ ! x2 " "x2
2
2
!
"h$%$!&h$!'()&!)&$*!+)$)!&h$!,-%.('/0(&/-,!-f!&h$!-,$2*(%&/3'$!"(4$!f+,3&/-,)5!!6h$!%$)+'&!
/)!3'$(%'7!&h$!)(.$!f-%!8-&h!3()$)!98+&!,-&!f-%!&h$!,-,2$:/)&$,&!f$%./-,!3()$;5!
<f!&h$!&"-!*(%&/3'$)!(%$!/,!=/ff$%$,&!)&(&$)>!&h$,!&h$!&"-2*(%&/3'$!*%-8(8/'/&7!=$,)/&7!/)!
P! ( "! " "# ) = ! #$ ( "! )! #% ( "# ) !!!&'!!!! ! #$ ( "# )! #% ( "! )
#
!
P(") ( "! " "# ) = * "#! #$ ( "! )! #% ( "# )!$!! #$ ( "# )! #% ( "! ) $%
#
#
!
" ! (" ) # ! (" ) # % ! (" ) # ! (" ) # $
#%
#
#$
#
#%
!
& #$ !
'
#
'
= * & $! #$ ( "! )! #% ( "# )!! #$$ ( "# )! #$% ( "! )
&
'
& $! #$ ( "! )! #$ ( "# )! # ( "# )! # ( "! )
'
$
%
$
%
#
%
f-%!&h$!=/)&/,g+/)h(8'$!9!;!*(%&/3'$!3()$>!&h$!)7..$&%/3!9";!/=$,&/3('!*(%&/3'$!3()$!(,=!&h$!
(,&/)7..$&%/3!9#;!3()$5!! @-%!&h$!=/)&/,g+/)h(8'$! *(%&/3'$!3()$>!"$!(4$%(g$! -4$%!&h$!&"-!
*-))/8/'/&/$)>!)-!&h$!-,$2*(%&/3'$!*%-8(8/'/&7!=$,)/&7!/)!
#
2
2
2
2
1% #
!
"
!
"
&"
$
!
"
!
"
&"2 (*
!
"
!
"
!
"
!
"
#
1
#
2
2
#
2
#
1
$
$
$
%
$
%
'
"#
"#
)
2&
#
#
2
2
2
2
1
# %' ! #$ ! "1 " $ ! #% ! "2 " &"2 $ ! #% ! "1 " $ ! #$ ! "2 " &"2 (* !
"#
"#
)
2&
2
2
1
# %' ! #$ ! "1 " $ ! #% ! "1 " (*
)
2&
P! ! "1 " #
!
@-%!&h$!)7..$&%/3!(,=!(,&/)7..$&%/3!3()$)>!"$!g$&!
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
P! ! "1 " # *
)
()
!
" ! !" " 2 ! !" " 2 $ ! !" " 2 ! !" " 2 %
$&
2
$%
2
$&
1
'
$ $% 1
2
#
#
' '"
$
# %! $% ! "1 "! $& ! "2 "!! $% ! "2 "! $& ! "1 "
' 2
$
$ %! $# ! "1 "! $# ! "2 "! $ ! "2 "! $ ! "1 "
'
%
&
%
&
&
#
" ) ! ! " " 2 ! ! " " 2 '" $ ) ! ! " " 2 ! ! " " 2 '" %
$&
2
2
*() $% 2 $& 1 2 '
$ *() $% 1
)
'
2 $
# # $ % * ! $% ! "1 "! $& ! "2 "!! $#% ! "2 "! $#& ! "1 " '"2
'
()
'!
$ )
'
$ % * ! $#% ! "1 "! $#& ! "2 "! $% ! "2 "! $& ! "1 " '"2
&
# ()
" ! ! " " 2 ) ! ! " " 2 '" $ ! ! " " 2 ) ! ! " " 2 '" %
2
$&
1
*() $% 2 2 '
$ $% 1 *() $& 2
)
'
2 $
# # $ %! $% ! "1 "! $#& ! "1 " * ! $& ! "2 "!! $#% ! "2 " '"2
'
()
'
$
)
'
$ %! $#% ! "1 "! $& ! "1 " * ! $#& ! "2 "! $% ! "2 " '"2
()
&
#
2
2
2
# # "$ ! $% ! "1 " $ ! $& ! "1 " %'
#
&
"#$%$! "$! &'$(! )#$! *%)#*+*,-./)0! -,(! )#$! ,*%1-./2-)/*,! *3! )#$! '/,+.$45-%)/6.$! "-7$!
3&,6)/*,'8!!9.$-%.0:! ! ! ! " !)*!$,'&%$!,*%1-./2-)/*,8!!;#&'!)#$!%$'&.)'! 3*%! )#$! '/,+.$4
5-%)/6.$!5%*<-</./)0!($,'/)0!-%$!)#$!'-1$!3*%!-..!)#%$$!6-'$'8!
!
1>810!!;#$!3/%')4*%($%!5$%)&%<-)/*,!$,$%+0!/,!)#$!3/%')!$@6/)$(!')-)$!/'!
!12!1" = ! 12" # " ! 12" ## ##
!
= ! 12" $$%& ! %1 # %2 " ! 12"
=
1
2
)
)
'
'
'
'
*#) *#) %&$1 ! %1 "$ 2 ! %2 "!$!$1 ! %2 "$ 2 ! %1 "'( $$%& ! %1 # %2 "
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! %&$1 ! %1 "$ 2 ! %2 "!$!$1 ! %2 "$ 2 ! %1 " '( &%1&%2
A&.)/5.0/,+!*&)!)#$!)$%1'!+/7$'!3*&%!/,)$+%-.'!
!!"!!" #
!
"
#
$ $
#
!!!$ !" $
#
!!!$ !" $
#
!!!$ !" $
#
"#
!
"
"#
"#
"#
"#
!! ! "! " ! " ! "" " #int ! "! " "" " $"! $""
$
#
$
#
$
#
"#
"#
"#
"
!! ! "" " ! " ! "! " #int ! "! " "" " $"! $""
"
"
!!& ! "! "! "& ! "" "!! ! "" "! " ! "! "#int ! "! " "" " $"! $"" !
!!& ! "" "! "& ! "! "!! ! "! "! " ! "" "#int ! "! " "" " $"! $""
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
B*"!'"-5!)#$!/,)$+%-)/*,!(&110!7-%/-<.$'! !! !-,(! x! !/,!)#$!2,(!-,(!D)#!/,)$+%-.'!)*!+$)!
!"##"#$%
%
#&'#(%
!"#$%3$'()*+,(-.$
!!"!!" =
!
"
#
#
"#
"#
$ $
!!!$ !" $
#
!!!$ !" $
#
!!!$ !" $
#
"#
"#
"#
!! ! "! " ! " ! "" " ##$% ! "! " "" " $"! $""
"
$
#
$
#
$
#
!! ! "! " ! " ! "" " ##$% ! "" " "! " $"" $"!
"
"#
"#
"#
"
"
!!& ! "! "! "& ! "" "!! ! "" "! " ! "! "##$% ! "! " "" " $"! $""
!!& ! "! "! "& ! "" "!! ! "" "! " ! "! "##$% ! "" " "! " $"" $"!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
"#$ %&'$()*'%+& ,+'$&'%)- $&$(./ 0$,$&01 +& '#$ ,)('%*-$ 1$,)()'%+& ! ! "! ! "" 2 1+
!int ( x2 ! x% ) # !int ( x% ! x2 ) 3 "#41 '#$ 51' )&0 6&0 %&'$.()-1 )($ $74)-2 )1 )($ '#$ 8(0 )&0 9'#2
($14-'%&. %&
!!"!!" # $
#
"#
$
#
"#
!!!!$ $
#
"#
!! ! "! " ##$% ! "! " "" " ! " ! "" " $"! $""
"
$
#
"#
"
!!& ! "! "! "& ! "" "##$% ! "! " "" "!! ! "" "! " ! "! " $"! $""
58355 :); <& '#$ 4&,$('4(=$0 *)1$2 '#$ '>+ ?$(@%+&1 )($ &+&A%&'$()*'%&.2 1+ '#$
B)@%-'+&%)& %1 1$,)()=-$ %& '#$ *++(0%&)'$1 x5 )&0 x63 "#%1 @$)&1 '#)' '#$ '>+A,)('%*-$
1,)'%)- >)C$ ?4&*'%+& %1 ) ,(+04*' +? '#$ 1%&.-$A,)('%*-$ 1,)'%)- >)C$ ?4&*'%+&1 )&0 '#$
$&$(./ %1 '#$ 14@ +? '#$ '>+ 1%&.-$A,)('%*-$ $&$(.%$1D
Ena !n$ ! # na " "# $ !! " # n$ " "# $ !! ! # na " n$ " "$ !!
!
na n$ " " na # %" $" n$ # %# $
"#$ '+')- 1/1'$@ 1')'$ C$*'+( @41' =$ )&'%1/@@$'(%* 4&0$( ,)('%*-$ %&'$(*#)&.$3 "#%1
1')'$ C$*'+( @41' %&*-40$ =+'# '#$ 1,)'%)- )&0 1,%& ,)('13 <? =+'# ,)('%*-$1 )($ %& '#$ 1)@$
1%&.-$A,)('%*-$ 1,)'%)- 1')'$ :") E "=;2 '#$& +&-/ ) 1/@@$'(%* 1,)'%)- 1')'$ %1 )--+>$03 F$
G&+> '#)' '#$ 1,%& '(%,-$' 1')'$ !! %1 1/@@$'(%* )&0 '#$ 1%&.-$' 1')'$ !! %1
)&'%1/@@$'(%*3 "#41 '#$ )--+>$0 1')'$1 )($
! !#$" !" ! !" !" !!
"
#
"
!
#
! !#$" !% !
"# !" !% " !% !" $% !!
! !$#" !%
"# !" !% & !% !" $% "&
<& '#$ .(+4&0 1')'$2 =+'# ?$(@%+&1 +**4,/ '#$ -+>$1' 1%&.-$ ,)('%*-$ 1,)'%)- 1')'$2 1+ +&-/
'#$ 1%&.-$' 1')'$ %1 )--+>$0D
!"
! !!
! #$ ! !" #% ! ! !!
&
! !"
! '()*#+
"#$ .(+4&0 1')'$ %1 &+&0$.$&$()'$3
!"##"#$%
%
#&'#!%
!"#$%&$'()*+,(-.$
!"# %&'() #*+&)#, ()-)# "-( ./# 0-')&+1# &/ )"# (&/21#30-')&+1# 2'.4/, ()-)# 5!" 6 78 -/, ./#
&/ )"# %&'() #*+&)#, (&/21#30-')&+1# ()-)# 5!9 6 :8 -/, 9.)" (&/21#) -/, )'&01#) ()-)#( -'#
-11.;#,<
"
" na ! !$ n% ! " " n% ! "$ na ! !
##
"
" na ! !$ n% ! " & n% ! "$ na ! !
! !""! !
##
!'()*+,(d ! #!'
!"
! !"
!
$% !!
$% "&
!"#'# -'# %.4' 0.((&91# +./%&24'-)&./( %.' )"&( (&)4-)&./= (. )"# ()-)# &( %.4'3%.1,
,#2#/#'-)#>
"
98 ?% ;# /.; 1#) )"# );. 0-')&+1#( &/)#'-+) @&- ! ! ! !" " " "! # "" # = )"#/ )"# -,,&)&./-1
0.)#/)&-1 #/#'2A +"-/2#( )"# #/#'2A .% #-+" ()-)#> !'#-)&/2 )"# /#; &/)#'-+)&./ -( 0#')4'9-)&./= ;# B4() %&/, )"# B-)'&* #1#B#/)( .% )"&( 0#')4'9-)&./> C/A (0-)&-1
0#')4'9-)&./ &( ,&-2./-1 ;&)" '#(0#+) ). )"# (0&/ 0-')(> D#+-4(# )"&( &/)#'-+)&./ &(
0'.0.')&./-1 ). )"# (E4-'# .% )"# 0-')&+1# (#0-'-)&./= /#-'9A 0-')&+1#( "-@# 1#(( &/)#'-+)&./
#/#'2A -/, ,&()-/) 0-')&+1#( "-@# B.'# &/)#'-+)&./ #/#'2A> C/-1.2.4( ). )"# (E4-'# ;#11
+-(# (".;/ &/ F&2(> :G>G -/, :G>H= )"# (ABB#)'&+ (0-)&-1 ()-)# 5-((.+&-)#, ;&)" )"# (0&/
(&/21#)8 "-( '#,4+#, 0-')&+1# (#0-'-)&./ -/, "#/+# (B-11#' &/)#'-+)&./ #/#'2A> I/ )"#
+./)'-'A= )"# -/)&(ABB#)'&+ (0-)&-1 ;-@#%4/+)&./ 5-((.+&-)#, ;&)" )"# (0&/ )'&01#)8 "-(
&/+'#-(#, 0-')&+1# (#0-'-)&./ -/, "#/+# 1-'2#' &/)#'-+)&./ #/#'2A> !"4( )"# (0&/ )'&01#)
()-)#( -'# ("&%)#, 40 B.'# )"-/ )"# (0&/ (&/21#) ()-)#= -( (".;/ 9#1.;<
yA 12 †1M\
2K12
J12
2—w
yS 12 †00\
yS 11 †00\
J11
—w
:G>:J F.' )"# (ABB#)'&+ )'&01#) (0&/ ()-)#= )"# (0-)&-1 ;-@# %4/+)&./ &( -/)&(ABB#)'&+
!
$"! ( #! )" " ( #" ) # " " ( #! )"! ( #" ) &' !$ !
! !"!S ! ! !"! ( #! # #" ) !$ #
"%
!
!"# '#(41)-/) %&'()3.',#' #/#'2A +.''#+)&./ &(
!!"!!" # ! !"" # " ! !"" !$ !$ # ! !"" %#$% ! &! # &" " ! !""
) )
#
!
"
* * %&$ ! & "$ ! & "!#!$ ! & "$ ! & "'( % ! &
&
!
!
&
"
"
&
!
"
&
"
!
#$%
!
# &" "
#) #)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! %&$! ! &! "$ " ! &" "!#!$! ! &" "$ " ! &! " '( '&!'&"
!"11"12%
%
1&'1(%
!"#$%&$'()*+,(-.$
!"#$%&#'%() +"$ $,- $-./0 )%1-0 2+". %($-).3#0
!!"!!" =
!
"
#
#
$ $
"
"#
"#
!!!$ !" $
#
!!!" !" $
#
!!!" !" $
#
"#
"#
"#
!! ! "! " ! " ! "" " ##$% ! "! " "" " $"! $""
$
#
$
#
$
#
!! ! "" " ! " ! "! " ##$% ! "! " "" " $"! $""
"
"#
"#
"#
"
"
!!& ! "! "! "& ! "" "!! ! "" "! " ! "! "##$% ! "! " "" " $"! $""
!!& ! "" "! "& ! "! "!! ! "! "! " ! "" "##$% ! "! " "" " $"! $""
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
4+5 053& $,- %($-).3$%+( 6"//' 13.%37#-0 !! 3(6 x! %( $,- 8(6 3(6 9$, %($-).3#0 $+ 0,+5
$,3$ $,- :0$ 3(6 8(6 %($-).3#0 3.- -;"3#< 30 3.- $,- =.6 3(6 9$,< >0-- ?.+7#-/ :=@:AB .-0"#$%()
%(
!!"!!" # $
#
"#
$
#
"#
!!!!" $
#
"#
!! ! "! " ##$% ! "! " "" " ! " ! "" " $"! $""
"
$
#
"#
"
!!& ! "! "! "& ! "" "##$% ! "! " "" "!! ! "" "! " ! "! " $"! $""
# %!" " &!"
:=@:= 3B C,- !3 D : -#-E$.+( %0 %( $,- :" 0$3$- 3(6 0+ ,30 !! ! ! ! < 5,%#- $,- !7 D 8 -#-E$.+(
E+"#6 7- %( $,- 8" 0$3$- +. %( $,- 8# 0$3$- 3(6 0+ ,30 ! ! ! ! +. :@ F+$, -#-E$.+(0 ,31"% D :G8@ C,"0 5- )-$ $+$3# $ D A %( $,- :"8" 0$3$- 3(6 $+$3# $ D : %( $,- :"8# 0$3$-< 3(6
$+$3# % D A< : %( 7+$, E30-0@ H,-( 5- 366 $ 3(6 % $+ )-$ &< 5- )-$ $,- 2+##+5%() .-0"#$0I
:"8"I $ D A JK
& D $ L % D % D A<:
JK 0$3$-0 3.- =%:
:
%A
:"8#I $ D : JK
&D$L%D:LAD:
JK 0$3$-0 3.- :':
=
'8
=
':
=
'A
7B C,%0 )%1-0 3 $+$3# +2 :N 0$3$-0
EB C,- ,'6.+)-(%E -(-.)' #-1-#0 3.!" ! !
= 0$3$-0
: 0$3$+. : L : D A< :< 8
= 0$3$-0
M 0$3$-0
= 0$3$-0
: 0$3$-0
#! ! !
#!
"
$%
!
!
"#$%&'
!" !
"!
O+. $,- $5+ -#-E$.+(0 5- $,"0 )-$I
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"!"" ! !
!
# !
#" " " #" " "
!&
" %& ! " " %& ! !# " !#$%() % " " " (
"
""$
""'
$ "$ "' '
#!
!!" ! !" " ) !#$%() % "
$!
'
!&
(' ! !!#$%() ) & ) ! !!#$%() ) ' ! !%($)()
&
&
!
"#!!$%&!&'&()*+n-!.n)&*/()!)%*+01%!)%&!2+0'+34!5+*(&!/n"!-+!*&6&'!&/(%!+)%&*!/n"!(*&/)&!
%.1%&*!&n&*178!+*!'&--!4.n".n19!!$%0-!:&!&;6&()!)%&!&n&*17!'&<&'-!)+!1+!069!!=+:!30(%!
)%&7! 1+! 06! "&6&n"-! +n! )%&! +<&*'/6! +5! )%&! &'&()*+n! "&n-.)7! .n! )%&! ".55&*&n)! -)/)&-9! ! $%&!
(/'(0'/).+n! .-! "+n&! .n! >*+4'&3! ?@9?A9! ! $%&! )+)/'! :/<&! 50n().+n! 30-)! 4&! /n).-733&)*.(!
:.)%! *&-6&()! )+! &;(%/n1&! +5! )%&! ):+! 6/*).('&-8! :%.(%! 3&/n-! :&! 30-)! (+34.n&!
/n).-733&)*.(!-6/)./'!:/<&!50n().+n-!:.)%!-733&)*.(!-6.n!:/<&!50n().+n-!/n"!<.(&!<&*-/9!!
B.n(&! )%&! -6.n! :/<&! 50n().+n-! /*&! /n).-733&)*.(! 5+*! -.n1'&)! -)/)&-! /n"! -733&)*.(! 5+*!
)*.6'&)!-)/)&-8!:&!1&)!):+!6+--.4.'.).&-!5+*!&/(%!(+n5.10*/).+n!C!!+*!"#D!
!
"! !$$ " !! #! #!$ " !# # $ ! !$$ " !# #! #!$ " !! # $% $$
##
!
!
"! !$$ " !! #! #!$ " !# # & ! !$$ " !# #! #!$ " !! # $% !%
!% "
##
"#
"
! !!"#!
! ! !!"#!
$$ "
!
#"
#
! !!"#!
! ! !!"#!
!
B.n(&!)%&!/n).-733&)*.(!-6/)./'!:/<&!50n().+n!.-!z&*+!:%&n! !! = !2 8!)%&*&!.-!'&--!+<&*'/6!
.n!)%/)!-)/)&!/n"!%&n(&!'&--!&'&()*+n!*&60'-.+n8!'&/".n1!)+!/!-3/''&*!06:/*"!-%.5)9!!=&n(&!
)%&! -6.n! )*.6'&)! -)/)&-! /*&! -%.5)&"! 06! '&--! )%/n! )%&! -6.n! -.n1'&)! -)/)&-9! ! F)! )0*n-! +0)! C-&&!
>*+4'&3!?@9?A#!)%/)!)%&!?!G"!'&<&'-!/*&!-%.5)&"!06:/*"!3+*&!)%/n!)%&!?!G!!'&<&'-!4&(/0-&!
)%&*&! .-! 1*&/)&*! +<&*'/6! /n"! %&n(&! 1*&/)&*! &'&()*+n.(! *&60'-.+n9! ! $%.-! 1.<&-! )%&! &n&*17!
'&<&'!-)*0()0*&!-%+:n!.n!H.19!?@9I9!
!
?@9?J!!$%&!".*&()!.n)&1*/'!.n!)%&!1*+0n"!-)/)&!+5!%&'.03!.-!
!
!!"
$
$
!!""!"
# "" ! !##
! !! "! !##
! !% "
#%
! !## ! !% "! !## ! !! " $ '!!$ '!% !
&#$ # !! % !%
$%&!1*+0n"!-)/)&!:/<&!50n().+n!.-!!
!
! !"" ! !#" # # " #
" $ %"! #"
$
!
$ #"$
K-&!)%&!-6%&*.(/'!%/*3+n.(!/"".).+n!)%&+*&3!
!
&
!
!
#" !#! m$
=% %
" # % $ !" m # % $" ) !
!"! ! ( ! ! ) ! ( "
!! ! !" !=& m=! ! "! " ! !$
!
:%&*&!#L!-)/n"-!5+*!)%&!'/*1&*!+5!)%&!):+!".-)/n(&-!#?!/n"!#G8!/n"!#M!)%&!-3/''&*!9!!>0)).n1!
)%.-!/''!)+1&)%&*!1.<&-!
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!!"
!!""!"
# # $$
#
%! &" ' %'#
(( $
#$ #&! %'
$
#$ #&$ %'
'
%! &%! (
& & $! $ ! & !$! '!( !$!"%! "!'!( !$ $ "%$ " ) &!!) &!$
!#' (## !
&
!
!
# # $$ ' ! %!
#$ # ! &! $&$ " %' &%
#
$
' ( $ " % ' $ " %$ " ) &!!) &!$ !
&
# & &
!$! !( ! ! ! " !( ! $
((
%! " ' %' !#' (## ! $! $ !
&&
!
"#$%&& '(%' !!! !! " " " # #
!!"
!!s"!s
$# %)* +#,%-%'# '(# .)'#/-%&+ '0 /#'
# # e$ $ ! ! %! " $ $ #$ # ! r! $r$ " a' r%! $
#
e
r! dr!r$$ dr!
&&
%! &" ' a'# !#' m## ! $! $ ! %' %'
r&!$!
$
!!!!!!!!!!!!!!!!' % )!m( !(! " )! ")''( !(! " )! " d*! % )''( !( $ " )$ ")!m !( $ " )$ " d*$
1(# +,(#-.$%& (%-20).$+ %-# 0-'(0)0-2%&3 +0 '(# %)/4&%- .)'#/-%&+ -#54.-# '(%' !! ! ! %)*
! ! ! 3 /.6.)/
!!"
#
!!""!"
## $ $%
!" & %&$
$
$
&
&
% %
$#% # ! &! $&% " %&
! %
&! '&!&%% '&%
&%
$
& ! &! #% #&% %& %
)
!
#% #&! %& %
$
&
'&
$
&
'&
$
$#% #&% %& &%% '&% +
!
!
%
%
(
%&
%
%
&
&
!
&%
' &!
*
& ! , %& / % #% #&! %& %
%& $ %%& &!# $ %&!% # %
( & .- ## ' 10 %& # $
$ %
$
## $
#
$#% #&! %& &!% '&! ( !
$ %&
!" & %&
( , %& / #% #&! %&
$
&%& $ %&!# '
( $ .%1
' ## 0
## $ $%
#
!" & %&$
$
!
!
&
&
& $ % % $#% #&! %& # $## #&! %& % % $ %% & # $ %& % # %
&
& !
!
# $ ( %& &
#
!" & %&( ( $ $ $## #&! %& % # $ %& # % & % '&
&
!
!
!
(' %&
' %
!
"
'" & '& $ )+
!
'")+
+
+
+
*
!
+
+*
%&#
%&#
'%&#
%&#
'%&# )
# '$% & %&#
#
#
#
$
$
!" & %&( (' ## % !$# % !$# % $## % '%# % $## % +*
( , #$% /
(#$%
# .
#
'%!" & %& ) - #!" & %& 10
#
742#-.$%&&83 9# /#'
(1)
!1""1"
=
!"11"12%
# # $2 & #
#
= 2 ( 2&'( ) = 1()*$) = (4$)
#%
(
8 $ 4!" ' %' ' 8
2
%
13'2(%
!h#$%&$'()*+,(n.$
!"#!$#%%&'%()**%+'',%-.'%/0**0()+1#%%20-'%-.3-%-.'%(34'%/5+6-)0+7%38'%/08%.9,801'+:*);'%
7-3-'7%()-.%!%<%=#%
!!" ! " " #
# $
$
%
#"$
!
$"
#"
$ "
"% !
!$" ! " " #
! ! ' $ #" %
%
$
! #" " $ # #" &
"
%
!$! ! " " #
%
!
% ! #" " $
%
!!
#
" ! #"
$
#"
&
"
!
#" !#" #$
!
" # % $ " # # % $" & %
! !
%
%
""! " % ! ! & " % "
!! ! !" "!& #!! " "" " ! !$
" !" #! ! !!" ! "
" ! " #! ! !! " ! 2!"
" ! " #! ! !! " ! 3! "
" ! " #! ! !! " ! 4! "
%
"
$
!!
!!
2 !!
2 !!
!!
3 !!
3 !!
2 !!
4 !!
4 !!
3 !!
"! "
$ ! %!
#! !
&
! 2"! !
! #!"! ! ! #"! !
%
! 12! 2 "! ! ! 24!"! ! ! 24"! !
$'
% $ "1
>.'%)+-'183*7%('%(3+-%38'?%
! 2! !
%
& 2! !
" 2
" 2 #2
3
3
!
!
!
!
$"# $"# 100 " 1 # 2!" " 2 # !"1 " !"2 $ %1$ %2
#
#
#
#
"#
"#
$ $
!
%
100
#2
" % "
" !1 #! 2!" " !2 # " " ! 100 " !"2 #! 2!" " !"1 # $ 3%1$ 3%2
!1 " !2
%
@)87-%*00;%3-%A%3+,%B5-%)+%-.'%'CB3+7)0+%/08%-.'%B38-)6*'%7'B383-)0+?%
! 2!1
%
" 2
" 2 '
= " (( ! 100 " !1 # ! 2!1#1 " !2 # &
$" $%! #%
& 2! $ 1 $ !$1 %! "#1&$1 #%!# "# 2 &$2 # & 3$1& 3$2
!=0 #=% !
&
2
!
= "2 (( '10 " $1 # '2!1 " $2 # %00 "#1 & $1 # %!#1 1 "# 2 & $2 #
2
2
'
2
2
%
$" $%! #%
& & 2! $ 1 $ !$1 %! "#1&$1 #%!# "# 2 &$2 # &$1&$2 &)1&)2
!=0 #=% !
&
!
!
20-'%-.3-%-.'%3+15*38%)+-'183*%/08%B38-)6*'%!%60**3B7'7%-.'%75D7?%
!"##"#$%
%
#&'$#%
!"#$%&$S()*+,(-.$
$ ! !! #" "
!
!
!
"
$
"
!!"% !!" # "" " ##" # $ !!!% !!" # "" "!!! !!" # "" "!!"% !!" # "" " ##"
"
!!! !!" # "" "!!"% !!" # "" " ##" #
$
&%
#
!
!
"
& !!& " !
&%
"#$%!&'()%!*#)!'+,-.'/!$+*),/'.!01/!2'/*$3.)!2!%$&2.)/!
$ ! !! #" "
"!
!!
!
"
"
"
!$$ !! " # "" " d#" # $ !!"! ! % !! " # "" "!!"! ! !! " # "" "!$$ !! " # "" " d#"
#
!
!!"! ! % !! " # "" "!!"! ! !! " # "" " d#" #
$
&%
! !
&%
"#$%!,$5)%!
! 2! ! "2 !! #10 " $1 # #2! " $2 #
2
!
!"
2
!
"
0
#10 " $1 #
2
1 2 2
$1 $2 %$1%$2
$$
" 1
2
2
# 1 $1
&
$ %$1 % ! #2! " $2 # $22 %$2 % !
#2! " $2 # $22 %$2 (
0
$
1 $
$ $1
'
2
!
2 2
1
!
617! 2-*! $+! *#)! /'8$'.! 7'5)! 0-+3*$1+%! '+8! 3#'+,)! 5'/$'9.)%! : ! ! 2"2 #" ;! *1! &'()! *#)!
$+*),/'.%!%$&2.)/<!
! !" ! "
!
!"
!
!"
!
#
"
#
"
#
"
"
"
"
$$
!$
!$
" % $ $
#! ! #"% ! * % $% $ $
!$! $!! ' ! #"! !
!$! $!! ' ! #"! ! " $! %$! " #
" $! %$! /
" $% %$% , # # & % !
"
%!
"
$% $ # # &
#" #"! )(
#" #"! )(
#"#
,+ $% " #" %
/.
!
" %
$$
!$
!$
" $ $
#! ! #"% ! * % $% $ $ ! !$!# $!$ ' ! #"!
!$!! $!# ' ! #"!
"
"
"
$
%$
$
!
"
%$
"
$
!
"
%$
,
/
%
%
!
!
!
!
# #&
#$% #"# &% #" #"! )(
#" #"! )(
#"#
,+ $% " #" %
/.
$$
" %
#! ! #"% ! * % !#"$% % !
" $% %$% , #
& ! & # " %$ & $ "! & %& " # ! $%
& ! & ! " %$ & # "! & %& /
#
#"
#" #
+ $% " !
.
"
#
$
#
$
* * !& ! "! & ! !&"! & ! !"! & " & #"! & " #& ! "! & " &&"! & " &"! & - #"% , % ,
/ //
$ !&
# !&
! !&
!&
!&
%
$ $%
,
!$% + ! $ & " ! & " ! #& " ! &&" ! &"
" #! !
."
/
! "! # # " #" $%! %$% ,
"
" #
!&
!&
! !&
!&
!&
/
,
"
% * !&" ! " " & " " !&" " !" /
," ,
/
/
, #" + ! %$ & #"! & ! $# & ! "! & ! !# &"! & ! !# "! & . ! $%
#"
.
+
! $%
* % % $ !& % ! !&
!&
! & #"
$ $%
/
, $ *+ ! ' & " ! ! & " ! &" ! " -. "
" #! !
%
!
#" !
/
,
! " # # " $% %$%
" #
"
%
/
,
!&
"
% # !&
% ! !&
%
% !&
, " # *+ ! $ & " " $ & " ! ! &" ! ! " -. !#"$% /
.
+ "
!$
!
617!2-*!$+!.$&$*%!'+8!3#'+,)!5'/$'9.)%!','$+=!%*$..!-%$+,!x!: ! ! "1 #" ;>!
!"##"#$%
%
#&'$$%
!"#$%&$'()*+,(-.$
&
$ %
$ !! #
! !! #
!! #
!! #
( #% $% !!# " ! !# " ! !#" ! " " %&' )
"
)
! !" ! #!"! # "!$ # # ! $# (
%
)
(
# !! #
! !! #
!! #
% !! #
"
)
( " % $% !# " ! # " " #" " ! " &'
'
% "
"
& !! #
# !! #
! !! #
!! #
"
#!"! !$ # $ $% !!# " ! !# " ! !# " ! #" " # &' &
)
!
" $# (
%" #"
(% " $% !# & "!! # ! # $ "!! # " # #"!! # " %! # ! "!! # &' )'
"
#!"! !$ #
!
" $# $% !# $ "!! # ! # #"!! # ! !# # ! "!! # ! #"!! # " # &'
#
%" "
!
!
"
!
#!"!
$% #"!$ # ! # $ "!' # ! # #"!' # ! !# # ! "!' # ! #"!' # &'$#
#
%" "
%
%
%
% &
#!"! $ %( $( #( # !( %( & #!"! $ %
! & ! $ ! ! # ! !)!
! ! $ ! # #! # ! ! ! !)
!
!
(
(
%" % $
%" % %' ! # ! # ! # ! # '
' ' '
'
'
) $ $ ) & "! $ %'! ) %! %") & "! #$
$
(% ! ! #$ ! ## ! #! ! #! )' ! % (% )% ! )% ! )% ! )% )' ! % )%
"
"
"!
!
%"
"#!$%&!'a)&!*#+!$%&!,!!'$a$&!
! 21 ! "
!
2
#
"
$
! #2"
2
%$
2$
2$2
2
" 1 % $ $ ' !
#2 ! #$1 2 * 1 $1 % $ $22 ' ! #$2 2
#$ 2
2
"
"
"
$
%$
$
%$
"
$
%$
,
/
1
1
2
2
2
2
# #& 2)
#$1 $2 ##$# &% #$2 )(
#$#
,+ $1 $ ##$ % #$ (
/.
#
"
$
%$
1 ! #$1 2 * % 1
" $1 %$1 ,
&
#$#
+ #$1 2
#
2 $1
#$
$
& % "! & %& "
% 1
##$ 2 %
#
"
2 $1
#$
& #"! & %& /
.
!
2 $1
* % 1
% !&
# !&
2 !&
!&
! & #$ *
!&
"
!
%&
"
!
12&
"
!
2%&"
!
2%"
%$
.$ /
, #$ 2 & +
! 1
" 1
1
2
#$ 2
/
,
! #2" # # " $1 %$1
$ #
"
1
%
/
,
# !&
2 !&
!&
!&
$
/
, " ## 2 % *+ !& " ! #& " ! 6&" ! 6" -. 2#$$1
.
+
$
!"11"12%
%
1&'2&%
!"#$%&$'()*+,(-.$
&
$ !
$% !# $ "!! # ! !# #"!! # ! ## ! "!! # ! ##"!! # ! !# "!! # + !# &' )
(
"
##%%
)
! !" ! #!"! # "!$ # # ! $# (
%
)
( !
# !! #
!! #
# ! !! #
#
# !! #
)
( + #% $% +# " + ! # " + ! #" + $ " &'
'
%
%
&
$ !
$% !# & "!! # ! !# $ "!! # ! ## #"!! # ! ## ! "!! # ! !# #"!! # + !# # &' )
(
"
#%%
)
! #!"! # "!$ # $# (
%
)
( !
& !! #
# $ !! #
# # !! #
# ! !! #
)
( + #% $% +# " + ! # " + ! # " + $ # " &'
'
%
%
!
! ' "!
!
#%%
!
#
"
! & "!
!
#%%
#
"
! & "!
!
#%%
#)
!)
") & ! & "! $ "
"
"
"
" &
$ ") $)
(% # $ ! ! ' & ! # ' $ ! ( ' # ! # ' ! )' ! % (% ! $ ! ! ! #& ! ! # ## ! ! # #! ! ! ! #! )'
%
!
!"!
%%
%
%
"
!$ #
$ !! #
$# $% ! # "
"
!
# !! #
! #"
#
!
! !! #
! #"
(
!
! #"
#
!
!! #
+ # &'
#
!
$% ##"!$ # ! # $ "!' # ! ## #"!' # ! (# ! "!' # ! ##"!' # &'$#
$ ! ! $ & $"! $ !$#
$
"*
&$ "%* & "! ""*
$
!
"
!
!
!
!
!
!
!
(% #& ## #! #! )' % (% !$# !$# !$# !$# ! !$# )' ! % !$#
%
%
"#$!%##&!'(!)!'n+!,-(!.n!(/e!e1,'n2.#n!3#4!(/e!,'4(.5%e!2e,'4'(.#n6!
$
! 2!1 ! e2 "" ! 1##
" !"1 #! 2!$ 1#1 " !"2 #! 1## " !"2 #! 2!1#1 " !"1 #
(
%# $%! #$
' ' 2! $ 1 $ !$1 %! "$1&%1 #%!# "$ 2 &%2 # d '$1d '$2
!!# #!& !
&
!
!
! e2 "" '1# " $1 # '2!1 " $2 # '1# " $2 # '2!1 " $1 #%##$ "$1 & %1 #%!#1 1 $ "$ 2 & %2 #%## "$ 2 & %2 #%!#1 1 "$1 & %1 #
(
!
%#
$%!
' ' 2! $ 1 $
!$1
&
!
%!#$ "$1 & %1 #%!# "$ 2 & %2 # d$1d$2 d)1d)2
!!# #!& !
!
"#(e!(/'(!(/e!'n7-%'4!.n(e74'%!3#4!,'4(.5%e!8!5#%%',2e2!(/e!2-926!
#
! $ !!!" !!# $ "# "!!"# # !!# $ "# "!!"" !!# $ "# " ### #
!!"# # !!# $ "# "!!"" !!# $ "# " ### #
$
%%
!
:/e!'n7-%'4!.n(e74'%!3#4!,'4(.5%e!;!7.<e2!(/e!2'9e!4e2-%(!
$ ! (! $" )! (! $" )! (! $" ) ##
"! "
!!
#
#
%
%
#
#
"
!
#
#
#
#
!
!!"! ! " (! # $ "# )!!" (! # $ "# ) ### #
$
&%
#
& !! & "" !
%% # #
!
& !! & ""
&% ! !
!
:/.2!7.<e2!
!"##"#$%
%
#&'$(%
!"# %& '()*+i(-.
$%! ! !
"!
! !! !
#"# # $" $ #!! # $! $ #"# # $! $ #!! # $" $ !"" $" $! %$"%$!
!! " " !!
$&
!
!
!
" "
"
# " $"
&
"!
#"# # $" $ #!! # $" $$"! %$" % !"" ! $!! #!! # $! $ #"# # $! $ $!! %$! " $"! ! !"" #!! # $! $ #"# # $! $ $!! %$! (
!
#
$" $
!! " " #
$ $"
'
!
"#$!%&'!()!'*+!,-.(-/!0&)1'(#)2!-).!%,#1++.!-2!3+0#,+4!
! #
!
# # $#
&
! 2" ! "2 " ##" " $# # #2" " $# #$#2 %$# % " #2" " $2 # ##" " $2 # $22 %$2 $ "
#2" " $2 # ##" " $2 # $22 %$2 (
"
$
"
# $
$ $#
'
2
!"
2
"
!
"
%$
%$
%$
! # $ 2 *
$ 2*
$# - ) &"# 2 # # $# $ 2 *
$2 - ) &"2 2
$2 - ) &"2 2 &
# ) / " $# %$# % "
# ) / " $2 %$2 $ "
# ) / " $2 %$2 (
% ,
% ,
$# $
&"% ,+
&" .
&" .
&" .
('
%$ $# " &" +
2 &" +
! 2 & "2 "
!
"
%$
%
2
#*
$# - ) &"# 2 # # * # - %$&"# * 2 ' % - ) '
# * #- ! *
'2 - ) ' &
"
#
)
$
%$
'
)
"
%'
$
'
)
,+ /. "" ,
,+ /. " %$# ,
#
#%
/.
/. " %' (
&" /.
%
%
&"% ,+
$
%
%
&
&" +
+
#
"
$
'
!
$
*
%
* !& ! "! & ! !&"! & ! !"! &
- #"
$
$
%
"
/
,
%$
$# '& , $ % ! &
! !&
!&
!& /
! $
( $ "
/
,
%
$
%
$
+
&
"
+
&
"
+
!&"
+
!"
+ %
."
! !" = ! # "! ) % $ $ ! $ ' " #" $$! %$$ , $
/
" # #
#" &
"
/
, $ " $% !
(
!&
!&
! !&
!&
!&
, + $ ' *+ !&" ! " + $% & " + !% &" + !% " -. %$$ /
#"
.
+ #" # % &
%$
* $ " $ % % $ % ! & %$#"$
*+ % & " -. "
/
,
'
$
%$$
( $ "
$$ % ! #" ! , $$ # % &
# !
/
= ! " ) % $ $ ! ' " $$ %$$
!
/
,
" # #
#" &
(
$ $
"
, + "$ %' *+ $% & ! "! & ! $% &"! & ! $% "! & -. %$$ /
#" /
,+ #" # % &
.
!
* $ $ % !%&
*+ & " -.
/
,
&#" %
(
# !
!%& !
/
,
= ! " ) ($ ! & ) " & %&
"
/
, $ " $% %
! !%&
!%&
!%&
, + $ ' *+ !&& " + %&" + " -. /
.
+ #" # % &
! # "!
= %
% #"
)" ($ ! & ) "
! # "!
= %
% #"
%) !) - ! # "!
* ()
,+ !% ' * + ! ' ( + ' % /. = %% #
"
!"##"#$%
(
!' &
(
! # "!
%& + & %& = %
% #"
%
!
)
)
(
"
(
!
)
"!' & !%& ( + !& % + & ! %&
$
$ - ! * "! "! %!
* $
,+ ! ! ! %% + ! ! %% + ! ! %% /. = %' # = # #!&
"
"
%
#&'$(%
!"#$%&$'()*+,(-.$
! !" !
"!
#
"
!
"
!
$
"!
!
#
$
! & "!
! !
#
#"
#"$ ( $" ) #!" ( $" )$"! %$" % !
$ $"
#$
% ! $" ) &$" ! # "
" $" %$" % !
#&$# &$
%$ $"
"
!
$
"
$"
$
"
$"
$
$! #!" ( $! ) #"$ ( $! ) $!! %$! $ $" "
!
$"
&
"
#!" ( $! ) #"$ ( $! ) $!! %$! (
!
$!
'
#$
#$
) !
&
! " % ! $
% ! $! ) &$! !
!
$!
" $! %$! $ $" " !
" &$ $!! %$! (
#
#
$" $
#&$ &$
#&$ &$
('
!
#$
'
#
" $" ) &$" ! # &$ * " - #$&$" ( ) '
$" * " - ! ) ' &
" $" %$" % ! , / " ' " %' $ ! , / " #$" '" %' (
$
&$ + # . &$
&$# &$
$ $" + # .
'
$$"
,
* #0 $ " ' &
' !&
$ !&
! !&
!&
! & #0
*
,
!&
"
!
'&
"
!
"!&
"
!
!'&"
!
!'"
/
.
)
&
$$
!
+
"
0
! # "! " " $" ! #0 ! . $" % $ (
/
! !" ! ! # $ " $" %$"
/
. $ " !
$ 0 #0 #0
"
/
. " "! $& ') *+ !&"! & ! "! & ,- $$"
#0
/.+ #0 % $ (
,
* "
*+ !& ' "!$& ! '$ & $"!$& ! '$ & ! "!$& ! () &"!$& ! !#( "!$& " !#( ,- /
!
.
& #0
! " "
/
! $ # & $"!$& %& .
$ 0
/
. &
!$&
!$&
"
/
. " # *+ &" " $ " ,+ 0
#
!
!
! # "!
$$
! # "!
! $
$ #0
#
"
#
"
0
0
*"
,
"!$& %& . *+ !& ' "!$& ! '$ & $"!$& ! () & ! "!$& ! !#( &"!$& " !#( & ,- /
+ #0
*+ !#( &"!$& ! & ' "!* & ! '$ & $"!* & ! () & ! "!* & ! !#( &"!* & ,-%&
* ! ! "+ '+ ! ! $+ ! $ !+ ! $
. $$ $$ ! * & ! $" * ' ! $! * $ ! $$
+
# !
# !
$ $
! " *
, ! " *#,
! ( .( ! ! ! ! ! ! / ! ( . / !
$ #0 +
' !
- $ #0 + ' !
! # "!
$$ #0
"+ ,
* ! /"! !!'
#0 *&*"
"# $%&&'()*+, -+ .+/ 0 12%//)3. )3 3%&4+($ 1!26"0 8 29:2 +;< <
! !" !
"! #$
! &&.$! "$
#" %&
! !& !
"! &&%
! &#.!&"$
#" !$#
% !" !
"! #!
! &.&) "$
#" 7!)
"! !!$
% !& !
! ".)#"$
#" *+*&
!"##"#$%
%
#&'$!%
!h. 1& 'olutions
!"#$# &i(# )"# #*#+&, -#(#- $)+./).+# $"01* 2#-013 !"i$ i$ *0) )"# 4i*5- 5*$1#+6 $i*/# 1#
5+# i&*0+i*& $/+##*i*& 04 *./-#.$6 1"i/" i$ 70+# #44#/)i(# 40+ ! $)5)#$6 "#*/# -01#+i*&
)"#i+ 2i*8i*& 5*8 $"i4)i*& )"#7 "i&"#+6 $0 )"5) " 5*8 ! $)5)#$ 80 *0) 0(#+-593
:;3:< !"# 70-#/.-5+ $)5)# ! !!" i$
! !!" ! !
!
"! !! ! !!# " # ! !! ! !!$ " $%
"#
!"# #= $95)i5- $)5)# )"5) i$ 5*)i$,77#)+i/ 1i)" +#$9#/) )0 #-#/)+0* #>/"5*&# 1"#* 20)"
#-#/)+0*$ 5+# i* )"# ! !!" 0*#?#-#/)+0* &+0.*8 $)5)# 10.-8 2#
"
"
! !!"!!
! ! !!#
!
! !!#
#
" ! !!#
#
! !!#
!
#
!
#! !! " !!" # $ ! !! " !!$ # %& ! #$! !! " !# " # $ ! !! " !# $ # %& !
#$
!
!!!!!!!!!!!" #$! !! " !# " # $ ! !! " !# $ # %& ! #$! !! " !!" # $ ! !! " !!$ # %&
#
!
!
E>95*8i*& 5-- )"# )#+7$ &i(#$
!"11"12
13'2(
!"#$%&$'()*+,(-.$
!
"! !! ! !!" "! !! ! !# " " # ! !! ! !!" "! !! ! !# # " # ! !! ! !!# "! !! ! !# " " # ! !! ! !!# "! !! ! !# # " $%
##
!
!!!!!!& "#! !! ! !# " "! !! ! !!" " # ! !! ! !# " "! !! ! !!# " # ! !! ! !# # "! !! ! !!" " # ! !! ! !# # "! !! ! !!# " $%
#
!
! "#! !! ! !!" "! !! ! !# " " # ! !! ! !!" "! !! ! !# # " # ! !! ! !!# "! !! ! !# " " # ! !! ! !!# "! !! ! !# # " $%
#
!
!!!!!!& "#! !! ! !!" "! !! ! !# " " # ! !! ! !!" "! !! ! !# # " # ! !! ! !!# "! !! ! !# " " # ! !! ! !!# "! !! ! !# # " $%
#
$$
"
! !!"!!
!
"#$"% &' ()* +,- .*/01-23 &/* 2-2412+*/&5+1267 3- +)* 8&019+-21&2 13 3*:&/&;9* 12 +)*
5--/<12&+*3 !" &2< !=$ ()13 0*&23 +)&+ +)* +,-4:&/+159* >3:&5*' ,&?* .@25+1-2 13 & :/-<@5+
-. +)* 31269*4:&/+159* 3:&5* ,&?* .@25+1-23 &2< +)* *2*/6A 13 +)* 3@0 -. +)* +,- 31269*4
:&/+159* *2*/61*3$
2 2
!2!2
2 ! !
!"
" "$
2%L2
2%L2
2
#
!"# "$
!
()* 9-,*3+ *2*/6A 5-2.16@/&+1-2 13 +)&+ ,)*/* ;-+) :&/+159*3 -55@:A +)* 31269* :&/+159*
6/-@2< 3+&+* >&2< +)13 13 BC ,1+) /*3:*5+ +- +)* 3A00*+/1D&+1-2 :-3+@9&+* &3 *E:9&12*< 12
>;'' 3- +)&+ +)* 6/-@2< 3+&+* *2*/6A7 ,)15) 13 12<*:*2<*2+ -. +)* 3:12 3+&+*7 13
!!! ! "
!"!"
""#"
;' ()* +-+&9 3+&+* ?*5+-/ -. +)* +,-4.*/01-2 3A3+*0 0@3+ ;* &2+13A00*+/15 @2<*/ :&/+159*
12+*/5)&26*$ F*5&@3* ;-+) .*/01-23 -55@:A +)* 9-,*3+ 3:&+1&9 3+&+*7 +)* 3:&+1&9 ,&?*
.@25+1-2 5&22-+ ;* &2+13A00*+/15 G-/ 1+ ,-@9< ;* D*/- ;A HI$ >"#$=='J7 3- 1+ 0@3+ ;*
3A00*+/15$ ()@3 +)* 3:12 :&/+ 0@3+ ;* &2+13A00*+/157 ,)15) 13 +)* 31269*+ 3:12 3+&+* -.
HI$ >"#$=K'L
! 11!" ! ! 11! ( #1 " #2 ) 00
1
"1 ( #1 )"1 ( #2 ) ( + # !#! # + )
2
1 2 % $ #1 ( % $ #2 (
!
sin '
* sin '
* ( + # !#! # +
2 $ & $ ) & $ )
!
)
5' ()* .1/3+ *E51+*< 3+&+* )&3 -2* :&/+159* 12 +)* 31269*4:&/+159* 6/-@2< 3+&+* >"& M"' &2<
-2* 12 +)* .1/3+ *E51+*< 31269*4:&/+159* 3+&+* >"; M ='$ N3126 +)* /*3@9+ ./-0 >&'7 ,* )&?*
!"!"
!"!"
!!" ! !" " " "
!
#
""#"
""#"
!
#
!"##"#$%
$
%
#&'$(%
C"#$%&$'()*+i(-.$
!"##$%&#'(')*#+')'&#,&-'(.#(/#'%&#'0(1/&.23(4#+5+'&2#26+'#7&#)4'3+522&'.3-#64!&.#8).'3-*&#
34'&.-%)49&:# +(# '%&# 8(++37*&# -(4/396.)'3(4+# ).&# ;3"# '%&# )4'3+522&'.3-# +349*&'# +834# +')'&#
!! #26*'38*3&!#75#'%&#+522&'.3-#+8)-&#+')'&<#
! !"!" ! ! !"! ! #! # #" " $$
!
#
$"! ! #! "" " ! #" " # "! ! #" "" " ! #! "%! # # !#! # # "
"
! + % $ # ( % "$ #" (
% $ # ( % "$ #! ( .
# %&' ' " * %&' '
! ,%&' ' ! * %&' '
! # # !#! # # "
*
& $ ) & $ *) /0
$- & $ ) & $ )
!
#
!
)4!#;33"#'%&#+522&'.3-#'.38*&'#+834#+')'&# 1! #26*'38*3&!#75#'%&#)4'3+522&'.3-#+8)-&#+')'&<#
! !"!" ! ! !"! ! #! # #" " !$
#
!
!
#"! ! #! "" " ! #" " # "! ! #" "" " ! #! "$ !$
"
+
1
" + % $ #! ( % "$ #" (
% $ #" ( % "$ #! ( . 1
$%&
#
$%&
$%&
!
$%&
, '
* '
*
* '
* /,
'&
% - & % ) & % )
% ) & % ) 01
1-
#
%%
!
"
! % # !#! # % "
##
!
&"# # $%&# /(6.# 8(++37*&# +')'&+# /(.# '%3+# &4&.95# *&,&*# %),&# '%&# +)2&# &4&.95# 7&-)6+&# '%&#
=)23*'(43)4# 3+# 34!&8&4!&4'# (/# '%&# '(')*# +834# (/# '%&# +5+'&2# )4!# '%&# 8).'3-*&+# !(# 4('#
34'&.)-'>##$%&.&/(.&#'%&#/3.+'#&?-3'&!#+')'&#3+#/(6.1/(*!#!&9&4&.)'&>#
/"# # @/# 0&# 4(0# *&'# '%&# '0(# 8).'3-*&+# 34'&.)-'# ,3)# '%&3.# A(6*(27# .&86*+3(4:# '%&4# '%&#
)!!3'3(4)*# A(6*(27#8('&4'3)*#&4&.95#-%)49&+# '%&#&4&.95# (/#'%&#+')'&>##$.&)'349#'%&#4&0#
34'&.)-'3(4#)+#)#8&.'6.7)'3(4:#0&#'%&4#26+'#/34!#'%&#2)'.3?#&*&2&4'+#(/#'%3+#8&.'6.7)'3(4>##
B45# +8)'3)*# 8&.'6.7)'3(4# 3+# !3)9(4)*# 03'%# .&+8&-'# '(# '%&# +834# 8).'+># # B+# 0&# /(64!# 34#
C39>#DE>F:# # '%&# +349*&'# )4!# '.38*&'# &?-3'&!# +')'&+# ).&# 7('%# 86+%&!# 68# 75# '%&# A(6*(27#
.&86*+3(4># # $%&# +522&'.3-# +8)'3)*# +')'&# ;)++(-3)'&!# 03'%# '%&# +834# +349*&'"# %)+# 9.&)'&.#
8).'3-*&# (,&.*)8# )4!# %&4-&# 9.&)'&.# A(6*(27# .&86*+3(4># # G4# '%&# -(4'.).5:# '%&#
)4'3+522&'.3-# +8)'3)*# 0),&/64-'3(4# ;)++(-3)'&!# 03'%# '%&# +834# '.38*&'"# 3+# H&.(# 0%&4#
!! = ! " :#*&)!349#'(#*&++#+8)'3)*#(,&.*)8#)4!#%&4-&#*&++#&*&-'.(4#.&86*+3(4>##=&4-&#'%&#+834#
'.38*&'#+')'&+#).&#+%3/'&!#68#*&++#'%)4#'%&#+834#+349*&'#+')'&>#
#
!"##"#$%
%
#&'$(%
!"#$%&$'()*+,(-.$
!"#!$ $ %&$ '(()$ *+,-'$ &.$ &+/(+0$ &.$ *1($ )(+*2+3,*4&56$ 7(*80$ 20($ *1($ ! $ 5&*,*4&5$ .+&9$
:1,)*(+$!;#$$<*$*1($(5/6$=(877$0(*$ ! ! !#$$%120$*1($/4..(+(5*4,7$(>2,*4&5$?!"#!;@$40$
!!
!
$
"#$ ! % "
# $ #& ! % " '!! ($ !(& "%
"%
&
!
$ " ) # !% " & $
A&=$(B),5/$*1($-&(..4-4(5*$ !" $45$,$)(+*2+3,*4&5$0(+4(0$
"!#
""#
# "##
!!" ! !" $ ! !" $ ! !" $" $
$
,5/$C(*$
!!
$
!
"
!
"
" !!"
$% # ! $%!"" # ! # $%! # " #" $ $ $&! ! " # ! $&!"" # ! # $&! # " #" '!! (% "(& "#
"#
&
!
% ! ) # !# " &
$
!#"
% "$%! ! "
(
"$%!""
! ! (% "(& "# !
!!"
# "$%
# !""
$ !#"
!! '
#!
#!
#"* $ $ ! $& # ! $& # ! $& #" '
% ) # !# " &
"#
"#
"#
&
)
&
!
A&=$ (>2,*($ *(+90$ .+&9$ *1($ *=&$ 04/(0$ &.$ *1($ (>2,*4&5$ =4*1$ *1($ 0,9($ &+/(+$ &.$ *1($
)(+*2+3,*4&5D$
!
"
"#$! ! " ! % "
#!
"%
"#!#" ! % "
! # " !! $
# $ #&! ! " ! % " '!! ($ "(& "%
"%
&
! ! " !!
$
! $ " !!
"#$! $ " ! % "
# $ #&!#" ! % " '!! ($ "(& "%
"%
&
!
$ ) # !% " &
!
$ ) # !% " &
$
!
%1($.4+0*$*=&$&.$*1(0($(>2,*4&50$,+($E>0#$?!"#!F@$,5/$?!"#!G@#$
$
!"#F$$%1($)(+*2+3,*4&5$40$
! ! ! " " # #! $ " %"" # $
$
%49($/()(5/(5*$)(+*2+3,*4&5$*1(&+H$*(770$20$*1,*$*1($-&(..4-4(5*$*&$3($45$,$5(=$0*,*($ ! $,*$
*49($!$,.*(+$0*,+*45C$45$0*,*($ ! $40$D$
" "
!! !" " # # ! $ ! ! % ! " " &#! '! "'" "% ! ! (% ! $
#! #
!
$
I&+$*140$-,0(6$=($C(*$
" "
" "
! $ ! ! % ! " " &#! '! "'" "% ! ! (% ! # # ! )# * ! &" % ! $ " &#! '! "'" "% ! ! (% !
#
#! #
#! #
$
"
)#
!
" % ! $ # ! '! "'" "% ! !
#
!* " # & &
(% !
#
#!
!! !" " #
$
!
J(*80$*,-'7($*1($0),*4,7$9,*+4B$(7(9(5*$.4+0*$
!"##"#$%
%
#&'#%
!"#$%&$'()*+,(-.$
#!
! # !
!# !
! '()
'()
"!
"
&
#
#
# &
#!
! # "%
,# ! (
! " ! ! ' *+'
$ *+'
* "!
&
!&
#
# )
#
#
! ! ! " ! " ! !# $!%! !!" $!%"! !
#!
#!
4
1
!# #! ! *+'
" # ! #! ! $ !#, '()
6 !
3
"
#
#
6
! , 3
,# !
,# ! . 6
# #3 " +
!
!
!
,
$
.# # ! *+'
" /# #! $ !# '()
/
32 !- ,#
# 0 65 &
#
!
#
$
#
!$
$
".#!
/# !
"#$$%&'!$(%)!%&$*!$(+!+,#-$%*&!-.*/+!-&0!0*%&'!$(+!$%1+!%&$+'2-34!5+!'+$!
!
#" # #$%! & " ! ' ) * $! (! !(# "' ) !
#$%!#"
!! !" " # % !
& &
)' ) # !
$! $ %" ! (' +"
$%!" !
#$%!#"
#!
$%!" !
+
"
"
&! ' ) * &$, !#' ) )' )
!
"
- &$, !#' ) ! ' ) * 0
#$%!#" - &$, !#" !" * ! # 0
/ $, ! # * 2 # ! $%!" ! / $, ! # * 2
. !#
1"
. !#
1
!
6(+!#&7+2$#2.+0!5+33!+&+2'%+)!-2+8!
"!!!!!
!! $ !" #! ! !
!
!" !
!!!"!!!# !" !
!
!
!#$!
!
!#$!
!
"#$$%&'!$(%)!$*'+$(+2!5+!'+$!!
P!!!" "! # $ "" "! #
"
!##"$$ % &%# "!! !! $ ! ! (
$ !
%%!" " '& %# "! ! ! $ *)
"
"
+ !##"$$ .
!
$&%# "!! !! $ ! ! &!%# "!! !! $ ! !
" 0
"
, %!" / # "! % ! $ "
!
"
#"
"
#
+ !##"$$ .
!
% &!"! $ % ! ! &!! $ &!%# "!! % &%# "!! (
$" 0
"
)
, %!" / # "! % ! $ " &
"
!
#
"
!
+ !##"$$ .
!
%! % &!"! $ ! "&!! $ &'( # "!! ()
$" 0
"
, %!" / # "! % ! $ " &
9&!$(+!3*&'!$%1+!3%1%$4!5+!'+$!$(+!72*.-.%3%$:!!
"
!
$ !#!""$ '
!
P!!!" " " # $ &
!
" )
"
"
%!
#
*
%
!
+
(
%
"!
!
!
!
!
!"##"#$%
%
#&'$%
!"#$%&$'()*+,(-.$
!"#$%%&'(%)(*+,*-.+/01%/2%
! ! ! " " # #! $%"# " %
"
%
&/3(%4()(14(1+%)(*+,*-.+/01%+'(0*5%+(662%,2%+'.+%+'(%70(88/7/(1+%+0%-(%/1%.%1(9%2+.+(% ! %.+%
+/3(% ! ! ! %.8+(*%2+.*+/1:%/1%2+.+(% ! %/2%;%
! !
# ' #' % " !
! " ! ! " # $ " $ " ! % " " ! & ! " ! " (% " %
"
#!
!
%
<0*%+'/2%7.2(=%9(%:(+%
#
! !
! !
# ' #' % " !
# ' #' % " !
" $ " ! % " " ! & ! " ! " (% " # $ " )" *&#% % " ! & ! " ! " (% "
$
#! "
#! "
%
!
)"
# % % " # # ! ' " #'! "% " !
#
" *! $ & &
(% "
"
#!
! " !!" #
%
!
&'(%+/3(%/1+(:*.6%7.1%-(%401(%9/+'0,+%>109/1:%+'(%8/1.6%2+.+(=%20%6(+?2%40%+'.+%8/*2+;%
' & ""
!
# $% ' $
#
#
% ! " ! ! " # ! " % " & &"# ' $ & " " (' $ # ! " % " )
!
$!
$!
)( $% " " " #
!
.@%<0*%+'(%7.2(%08% ! ! ! =%+'(%2).+/.6%3.+*/A%(6(3(1+%/2%
$% ' $ "# ' $ #
!
*
" 0
#
, # ! " %"/
2%
. # " $% " " 1
,+ ! $!
#!
! #
!# !
! '()
'()
"!
"
&
&
#
#
#
#!
! # "%
,# ! (
! " ! ' *+'
$ *+'
* "!
&
#
# )
#
!&
#
! ! " ! " ! !# $!%!!" $!%"! !
%
%
#!
#!
4
1 !
# *+'
" # #! '()
6
3
"
".#
#
#
6 !$ !
! ! 3
,# !
,# ! . 6
# #3 "+ !
-#
$ , # *+'
" ,# #! '()
/6
32 - #
# 05&
#
B,++/1:%+'/2%+0:(+'(*%9(%:(+%%
"
%
P!!!" " " # $ !" " " #
!
"
)
! )
!
!#"#$ &
& !#"#$ ) &
%
$ !
$(
" (
" + (
"
" +
+
' %!# * ' $ % % "! *
$%!# ' $ ! $% "! *
"
9'(*(%
! " !" ## ! !
! !" ! !
!
%
!
!"#!
!
-@%<0*%+'(%7.2(%08% ! ! ! =%+'(%2).+/.6%3.+*/A%(6(3(1+%/2%
%
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
#!
' #
!# !
! ()*
()*
"!
"
&
#
#
# &
' # "%
'# !
-# ! (
! " ! ' +,(
$ +,(
* "!
&
&
#
# )
#
'
#
! ! " ! " ! !# $!%!!" $!%"! !
!
!
'# !
'# !
4
1 '
# +,(
" '# #! ()*
6
3
"
#
#
6 !&
3
!
-# !
-# ! . 6
-# ' # 3 " + '
$
# +,(
" -# #! ()*
/
32 - ,#
# 0 65 &
#
"#$!%&'()*!$+$%$,'!)-!.$(/0!-/!'#$!1(/2&2)+)'3!)-!.$(/4!
P!!!" " " # $ !" " " # $ $ !
#
!
!
5676!!"#$!1$('8(2&')/,!)-!
"$ " !!" ! " # " $
!
#
!
!! ! #
$
!!!"
"
#
"
$
#
$%
!
")%$!9$1$,9$,'!1$('8(2&')/,!'#$/(3!'$++-!8-!'#&'!'#$!:/$;;):)$,'!'/!2$!),!&!,$<!-'&'$! ! !
&;'$(!-'&('),=!),!-'&'$! ! !)-!4!
" "
!! ! " " # # ! $ ! ! " ! " " %#! &! "&" "" ! ! '" ! !
#! #
!
>,!'#)-!:&-$0!'#$!%&'()*!$+$%$,'!)-!')%$!),9$1$,9$,'!&,9!)-!=)?$,!23!
!
! ! ! ! " ! " " # # " !# $#% ! !"" $#%$# # #
%
% '!
&
&
%
" !# $#%!&& !"" $#%$# $ # " !# $#%!&!"" $#%$#
% '!
% '!
$#
!
!$ #
! & % ()* ! $! " % ()* ! +$! " )
&& # ()*
()*
$# # && (
%
+
&
,$ *
%
%
%
% ' !$
&&
#
+$
#
!
!
@/(!'#$!')%$!),'$=(&+!<$!=$'!
"
"
% %#$ !"" ! (
" "
"
"
# ! &! "&" "" ! !
#$ !"" !
!! ! " " # # ! $ ! ! " ! " " %
'" ! # $ !" # %
'" ! # $ !" '
*
#
#! #
#!
#!
& #$ !" ) #
!
!
#
% %#$ !"" " " ( "
" #$ !"" ! #$ !"" ! "#$ !"" !
"
%& %
()
# $ !"
$ !" '
%
"%
*
#$ !"
#!
& #$ !" ) #!
#
! #$ !"" !
"
$ !"
%
$%& !$ !"" ! "
$ !"
#!
!
"#$!8,1$('8(2$9!<$++!$,$(=)$-!&($4!
!"##"#$%
%
#&'&%
!"#$%&$'()*+,(-.$
"!!!!!
#! ! ! !
!
!" !
!!!"!!!!! # !" !
!
!#$!
!#$!
!
"#$$%&'!$(%)!$*'+$(+,!-+!'+$!!
P!!!" "! # $ "" "! #
!
"
"
$! &
'
" #" "!! " " "!
"
"
!
$ $ "!
%
#$%
! $&
&(
#$% "! ! )
" "!
"
" (
#!
% ! '# " "!
"
$ !)'("&(
* '# " !! - '
" + ' " (&&(" " * '# " !! $&
#$%
$
#$% ,
)
' "
,+ &'(" /.
'& # ) ! &
+ &'(" /.
% *# !
(
!
"
!
!
./01!!2(+!3+456%&'!7%+83!(5)!$%9+!3+:+&3+&4+!
$&
!
! !" " # %
!" " " !$# "#"
&' !! # #
!
"$!
!
"%!
2(+!;*#,%+,!$,5&)7*,9!*7!$(%)!%)!
!! !! " #
!
!
!
""
!
# #
""
%
$
#$
! ! " " ##$! " %" #
!
""
%
$
#
!# ##" "& #$! "!" ##$! " %" #
!#
""
%
$
#
##$!! #! "! "" #" "& %"
!
$
' ##$!! #! "! "" #" "& *
*
!
!# '
)
, #
)
,
"" ( $ !! # ! "! " $! "& +
( #$ !! # ! "! " #! "& + #
2(+!,53%5$+3!:*-+,!%)!
! !! " # ! "#$%&'( " )! !! "
!
!
)"!
#
# ! "#$%&'( "
!" * !! # ! !# " $# !$
%
(
#
# ! "#$%&'( " '
!
!*
& !! # ! !# " $ !# !$ " )
!
!
!
2(+!%&<+,)+!*7!$(+!3+456!$%9+!%)!$(+!=%&)$+%&!!!4*+77%4%+&$>!)*!$(+!7,+?#+&46!):+4$,#9!(5)!
$(+!7*,9!
!
! !! " "
!
!! # ! "! " # ! ""! " ""
"
!
@*&<+,$%&'!$*!+&+,'6!'%<+)!
!
!
!!"" !
"
" !
" " !# "! " # ! !#"! " "
!
!
A*-!&*,958%B+C!
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
!
!
$
! ! " ! " " # #" ! "
#
# #" !
"
"
" # !$ #! # $ " !%#! # #
"
!
"#$%&'!($)*$+,'-!./!!! ! " ! !" !" 0!
!
!
!! !$
!
! !" "!
(
% #$% !! # "" !#"! $ (
"! % +
!! , " "! /
!
' ! #$% . !
*!
*
" $" ! ! '
!#"! "
- #"! 10 )
"$
&
) ! !" "! !#"! & "
#
!
#
" " " # !#"!
1/2!$--34'!.#$.!.#'!,*%'!2*5.#!*-!436#!,'--!.#$%!.#'!)'-/%$%6'!7)'83'%69!:!!!" ! ! !" ;<!
2#*6#!'77'6.*(',9!4$='-!.#'!*%.'&)$,!,*4*.-! !" # !" >!!?#'!)'-3,.!*-!
"! !
!"
!!
!!!"!!!! ! "! !
"!
! !""!
?#'!)'-3,.*%&!'%')&9!-@'6.)34!*-!
!
!#!" !!
!!"" #
!
! !
" " !# !" " $ ! !#!" ! "
!
!
!
!
AB>C!!?#'!@').3)+$.*/%!D$4*,./%*$%!*-!
!
"# #
" " " "# #
!! ! ! "!"" ! " " ""# #"E ! " $ $ % $ & # " ! "E ! " " $ $ % $ & # !
?*4'!5'@'%5'%.!@').3)+$.*/%!.#'/)9!.',,-!3-!.#$.!.#'!6/'77*6*'%.!./!+'!*%!$!%'2!-.$.'! ! !$.!
.*4'! ! ! ! !$7.')!-.$).*%&!*%!-.$.'! ! !*-!0!
! !
# ' #' % " !
! " ! ! " # $ " $ " ! % " " ! & ! " ! " (% " !
#! "
!
!
E/)!.#*-!6$-'<!2'!&'.!
" !
!!" $ " ! % " " "## &#! '! #'" "% " " (% "
$
#
#"
" !
# $ !!" &E # &# % " % ! ) $ * $ + " "## &#! '! #'" "% " " (% " !
#" #
!
&E
# # !!" ! ) $ * $ + " "## $ &# % " % &#! '! #'" "% " " (% "
#
#"
!!!" ! ! " #
!
!
?#'!.*4'!*%.'&)$,!*-!*%5'@'%5'%.!/7!.#'!7*%$,!-.$.'<!-/!,'.F-!5/!.#$.!7*)-.0!
!!!" ! ! " #
#E
# " !!" ! % $ & $ ' " #""
$"
!
#
!
!"##"#$%
#E "
!!" ! % $ & $ ' " #""
$"
&
!
"
#" ( # $ #$% !#( # )( #
!
' #$% !#( # " ( # $ *
) $% " # $ ,
( !#
+"
!
"# 0
#E "
!!" ! % $ & $ ' " #"" /
$"
. $% !# " # $ 21
%
#&'!%
!"#$%&$'()*+,(-.$
!"#$%&'()*#+,-./#0)#12(13(24)#45)#672482(#*24%89#)()*)"46#
!
!"" ! #"" ! "
#
!
!
!"" ! #!" ! "
#
!
!
!"" ! #!( "! ! "
#
!
#$ '
"
%&
#
#$ !
" " '# ! "'$ $
%
%& # #
:536/# &;# 45)# +<# 7&668'()# 672482(# *24%89# )()*)"46# ;&%# 45)# ,# ! ! ! # 6424)6/# &"(=# ># 2%)#
"&"?)%&@#
"" # $
# %&
" #$ !
!"" # #!' "! ! ! " &
#
#
# % #
" #$ !
!"" $ #!' "! ! ! " &
# % #
!
:5)#%)63(42"4#7%&'2'8(848)6#2%)#
!"" ! #!" !
P!"" ! ! " # !!"" ! ! " # "
!
% !#$
#
!
" "# E % "
P!#" ! ! " # !!#" ! ! " # $ " " ' $ !
#
# ! & # ( !# $ # ) ! '& %#"
!
#
% !#'
!
#
" "# E % "
P!#&%# ! ! " # !!#&%# ! ! " # $ " " ' $ !
# ! & # ( !# $ # ) ! '& %#"
!
!
#
+,-.##:5)#(8;)48*)#86#8"A)%6)(=#%)(24)B#4&#45)#C8"64)8"#D#1&);;818)"4@#
!!
#
!
!
$
"$#" "#
"
!"# !
"!#
$
$!%
!
#
#
:&#12(13(24)#45)#*24%89#)()*)"46#0)#"))B#45)#;&((&08"E-#
!!" ! " " #
#
!#" ! " " #
!#! ! " " #
!"##"#$%
#
$
#
#"
$!" #"
!
# ! #" "
$
#
"
" % !" ##"
$
!
!
#
$#
##" '&
!
# % ! #" "
%
$
#
" !" ##"
$
#"
#&'(%
!"#$%&$'()*+,(-.$
!
!!! !! " " " #
#
$#
!#! !! " " " #
%
&'(! # !#!) !! " " "
$#
!
%
)
!#$# !! " " " # !
(+, ! "$#" # $!#$#
!! " " "
*#
!
! ! " !"#! ! "
!
$"
$" )
#&' "! ( # # ! "
#&' "! ( # #
%
%
$ ! " #*+ ! !"# # ! "
,"
,"
)
%& $#&&) "! ( # # $ #&$&
"! ( # #'( !
%& $#&& "! ( # # $ #&$& "! ( # # '( ! "
%
%
% ! " #*+ ! !"# # ! &"
,"
," )
)
%&#&& "! ( # # $ #&$&
"! ( # #'(
%&#&& "! ( # # $ #&$& "! ( # # '( ! $&"
%
%
"
#! #
!
" ! $!
%! !
!
""
!
$ " "#
"#$!%&'()*!$+$%$,'!-&,!.$!.(/0$,!),'/!(&1)&+!&,1!&,23+&(!4&('56!
!
! ! " ! #! " ! $! % !" ##"#$#
!
! " &#$! " ! " % #!%!&##"# " % #!% ! '% " ("$! $! "# & $ # !" ("#$# "# & $ # '% !
!
%
!
! )% " #! & " ! & ## & "# # "% " " ! & $! & "# & $# #
!
"#$! &,23+&(! 4&('! 2)7$5! '#$! 5$+$-')/,! (3+$58! ! 9/'$! '#&'! :/3! -&,,/'! 5)%4+:! 43++! '#$! (&1)&+!
3,)'!7$-'/(!/3'!/;!'#$!),'$2(&+!.$-&35$!)'!1$4$,15!/,!'#$!7&()&.+$5!/;!),'$2(&')/,!<)8$8!)'!)5!
,/'!&!-/,5'&,'=>8!!?;!:/3!1/!'#)5!:/3!@)++!2$'!1);;$($,'!<.3'!@(/,2>!5$+$-')/,!(3+$58!
!
!! ! " ! " !! " "# " !# " # $ ""$! !! !" " # " "% ""#!# !" " # " #!
!
!
&
' (
%$
# $ ""$! !! !" " # " ' %# $ %$ $ %% * ""#!# !" " # " #!
!
%
% )
&%
% #
$
$
% (
' ! %& ,"## !" " # " $ "#,# !" " # " () # $ *
*
'
&+ ' #
$
$
$
%&"## !" " # " $ "#,# !" " # " () %$ $ * ""#!# !" " # " #!
# $ "" ! !! !" " # "
,(
*
'
'
!
*
' $
*
'"#( !" " # " %%
*)
'&
A/(!'#$!BCDE!'(&,5)')/,F!'#)5!5)%4+);)$5!-/,5)1$(&.+:!'/6!
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
!
& &
#
#
( (
* ' &' %"&& !" " # " $ "&%& !" " # " () " $ +
+
*
!
$$ * &
#
#
#
(
&"&& !" " # " $ "&%& !" " # " () # $ + ""! !" " # " $!
!! ! !" !" "" ! " # , "!! !" " # "
%#
+
% *
''
+
* #
+
*"&! !" " # " $(
+)
*'
& &
#
#
( (
* ' &' %"&& !" " # " $ "&%& !" " # " () " $ +
+
*
$$ * &
&
#
#
&'"&& !" " # " $ "&%& !" " # " () (# $ + ""! !" " # " $!
#
%#
,
+
*
$$ %
'
+
* #
!
+
*"&! !" " # " $(
)+
'*
!
#
&
$$
#
- "& &
% *'
& &
( (
* ' % %- "&- !& $ - "&- !%& & " $ +
+
*
$$ * &
(
%#
%- "&- !& $ - "&- !%& & # $ ++
% *
'
+
*
+
*- "&- ! ! $(
+)
*'
&
&
(
%- !& $ - !%& & (" % #
- !& $ - !%& & (# $ - "&- ! ! $( +
%
%
'
'
)
"#$%!&'! (')! *'+,-! ./0-! 12.3! )#'!4!!%),)'5!)#'!4"!%),)'!+,//.)! *'+,-!67,! '0'+)27+!*78.0'!
2,*7,)7./9!!"#'!2,*7,0!8,2)!.1!)#'!3,)27:!'0'3'/)!7%!
!
!" ! #! " ! ! " ## " !# " # " $#$! ! ! ! " " "$##!# ! " "" ! %"
%
!
!" !#" %" !"#" # "
%
#
!
"#$%!&'!(')!
!
!"##"#$%
!
!
'#" &% "
&
&%!
&%
'
"
!
%
#
! ' ! &% " !
&
" #" !&% !
#
'
" %" #
&%
'
"
!
%
" ( #&" !&%
'
%" !
&%(
&% ()
&% ! +
#
*
' ! !& "
' &(
( ( '#&( ! %( #
!
!"" ! #"" ! "
! #$
!
!"" ! #!" ! " & "'
# %
!
! #$ !
!
" " '# ! "'$ $
!"" ! #! " ! ! " &
%
# % ##
!&
#
!
# #
!"" ! #!# ! !" !"
%
!
%
#&'(%
!"#$%&$'()*+,(-.$
!"#$%#&'#%#&$%(')*+#,-$%".%#&$%/!01"%('#2+3%$4$($*#%+5%+*-$6$*-$*#%".%#&$%#05#'#$7%%8&$%
-$9':%2'#$%'*-%4+.$#+($%'2$%#&,5%
#
!$"! "#
"
!"# !
"!#
#
#!%
"
"
#
$&
!$"! "$
!$" $ $ # $ " " ' $ ! " ' "$&
" "
!
#% $% !
# (% ) & " ) $%
&
( % ($ ( #
#!% #
#
#!% # ! # % ! "
#
!" &"$'
%
'
+ " &"$'
!
'
#
$ $ "'
$
$ "' $ $ '
' "$
! & ) # & (% " !
)( "*)"$) ! ()"(& * $% '
&% )( &%
"$(
(
%
$#*)%!
! #
()&'"$ * $% $)' #
$
!
! $)&+( * $% "+ ' ! $)( *'
!" &"$'
%
%
1;7<%%'=>?%8&$%9"$..+9+$*#%."2%#&$%$#&%5#'#$=%'55,(+*)%@$%5#'2#%+*%#&$%15#%5#'#$%+5A%
! #
! #
$*
$ ! '" "'! "# ! !
"
!
&
(
#
#
" )" #$% &" % # ! &$! '" "'! "# ! ! (# !
%
#
!
!
!
!
"
#
#
"
"
$!
$!
+
%
#
!
$*
" % # $ ! '" "'! "# ! !
#
" )" #$%
! & &
(# !
$!
+ #"
!" ! # " #
%
!
8"%.+*-%#&$%('#2+3%$4$($*#=%@$%+*#$)2'#$%"B$2%#&$%@$44A%
$
!#
!#
! ! # " "& " # #!" #$% "! " # # %#
"
$
$
$
!#
"! #
!#
'! $ "! # ' !#
#" #$% $ #$% $ #$% $ %# ! $" #" #$% $ #$% $ %#
$
'!# '
! $ + "! #
"! #
'!# .
$ "! # ' ! $
#" #$% &% $ )( ' &% ! * ()# $ )( %# ! $" #" -,#$% $ * #$% $ ()# $ 0/ %#
!"! ! " !" #$%
'!"
$
'!
! "
$
! $
! " # $ #$% "& * #$% "& ()# '& % %&
! "
!
%
!
! "
!
!
!"
!
!
+ !
()# +," " * ' # & ./ ()# +," " & ' # & ./ .
&
- * ()# "& &
0
"
'*"
*
'+
'*" & '+ / "
,
%
()# $ "! * '! % * ! ()# $ "! & '! % * ! .
+ !
&
- * " $ ()# "! * !% &
0
'*" * '+
'*" & '+
,
/
+" *!#" * !. +" *!#" * !. .
!" +- !
"
/&,
/0
!
* +" *!# * !./ & ,
! - ",
'*" * '+
'*" & '+ 0
/
,
,!"
-!"
+" *!#" * !. !
!
'
/ !"*, * " ' + 1 ".'%%
!"*" * ,+ ,
8&$%#+($%+*#$)2'4%+5%
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!" ! # " #
!
#
#
#
!
!
!
%"! $ &! " # # &$! '" !'! "# # ! (# # # %"! $ &! " # # &$% "!# # (# # # %"! $ &$% "!# # !" # # (# #
"
"
"
$!
$!
$!
#
& &$% "!# # !" # # )
& &$% "!# !" # ! ! )
!
!
# %"! (
#
%
"!
$! ' $% "! ! " +* " $! (' $% "! ! " +*
!
!
"#$!%&'()!*#+,($!%-.+!/0!1!%-(!(23#+(+%&.*!%($'!,#()!%#!4($#1!,&5&+,!
$ "!
!
!" # !! !! $ %"! &
$! % $# "! " !
!
.+6!%-(!*#+,7%&'(!3$#8.8&*&%9:!
"
!
P! ! " " # #! ! " "
!
!
#
"
"
"
! %
# ! $!" '
$
!
& %! !" " # "%! !" " #
"
)&$$!
# ! ! ! !
, !(&''
!
!
! + ! %! " &' ! !" $ # !
'
)!
(
!
( "
"
% #$$
(
* # ! ! ! ! $ # ! ' +!%& " ! ! ' * , !(&''
&
)
)
!"
!
!
;-(!(+($,9!6&<<($(+=(!8(%>((+!)%.%()!,&5()!?)!%-(!@#-$!<$(A?(+=9!
! !! !
!
9&(*6&+,!%-(!3$#8.8&*&%9!
!
"! " "!
!
!
!"
!"#" !"#"
"
"
"#$ "#$ ! !# ! " " ! !
!
"#$
"
#
'
!"##$
$ !(&'' !
P! ! " " # $ $ $ $
$ "
$
$
! ! ! %! " "& ! !
$
$
! "' $ #
"$ $ %$
!
!
!
"
;-&)!&)!5.*&6!<#$!%&'()!*#+,($!%-.+!! ! !
8B!!;-(!C$#+(=D($!6(*%.!<?+=%&#+!<$#'!%-(!'.%$&2!(*('(+%!%(**)!?)!%-(!)(*(=%&#+!$?*(:!
;-(!?33($!)%.%(!'?)%!8(!.+!#66!)%.%(E!
!
/FEG!!.18B!;&'(76(3(+6(+%!3($%?$8.%&#+!%-(#$9!,&5()!?)!%-(!3$#8.8&*&%9!.'3*&%?6(!<#$!%-(!
<&+.*!)%.%(:!
! $
! $
% ( "( $ ! !
% ( "( $ ! !
" # &" ! ! $ ! " "% ' ! # % " )$ ! # # " *+ $'" $ $ ! # ' ! # % " )$ !
#
#
#
%!
%!
!
$
$
!
*
$
" $ $ ! % ! (" "(# "$ ! !
" $ $ ! % ! (" "(# "$ ! !
$
#
" *+ # # ' '
)$ ! # +"# # ' '
)$ !
#
#
%!
%!
!" # ! $ " #
!
!
;#!<&+6!%-(!'.%$&2!(*('(+%)!?)(!*.66($!#3($.%#$):!
!"##"#$%
%
#&'##%
!"#$%&$'()*+,(-.$
!
#" " #
!"!
#
!!
#
$
" ! %! "
! !$
# "#
# !"! '&
#
!
#
#
$
#
!
" ! %! " " "
!$
# # # " # "# "# " # "## " " # "## " ## "# " " ## "# " ### " " ###
'
# !"! &
!
"#$%! &$! '()$! '#$! *('+,-! $.$*$%'/0! #(.1! 21! '#$/$! &,..! 3(%,/#! 4$5(6/$! ! ! ! ! 0! /2! (%7!
'$+*!&,'#!(%!!!+,8#'*2/'!3(%,/#$/9!!:#$! !!! ! !'$+*!,/!(./2!;$+2!/,%5$!,'!'+,$/!'2!.2&$+!'#$!
8+26%<!/'('$!2%!'#$!.(/'!.(<<$+!2=$+(',2%9!!:#6/!&$!(+$!.$1'!&,'#!
!
#
$
" ! %#
! " " !$
! $ $$ $$ $ " $ $$$ $ " $$ $$ $ "
# ##! '&
#
!
!
!
" ! %#
!$
# ##! '&
!
#
$
% # !( ! ! " % % %( !% " % # #( !%
$
!
" ! %#
!$
# ##! '&
#
&( ! ! " !( !%
>2&!<2!'#$!',*$!,%'$8+(.0!%2',%8!'#('!'#$!#(+*2%,5!2/5,..('2+!$%$+8,$/!(+$! !" ! !! # " "
!
$ " # ! " # # %! (" !(! "# # !
$ " # ! " # # %"% # #
$ " # %"% # # !" # #
!" ! # " # &"! $ ' '
)# # # &"! $ ' ' )# # # &"! $ '
)# #
!
!
!
%!
%!
%!
!
!
#
$ " & '%"% # # !" # # )
$ " & '%"% # !" # ! # )
# &"! (
# &"! (
+
%"% ! " +* ! %!
%!
'
' %"% ! " *
!
$
!
"
!
$!
?2+!',*$/!.2%8$+!'#(%!@A!0!'#$!$-=2%$%',(.!'$+*!82$/!'2!;$+20!8,3,%8!
"
#
!" # !! !! $
$ # $ "! '
&"" &
)
%!
% %"# " ! (
P" " # # $ !" " # # $
$
!
!
'
$$ # $ $ !
!
&"" &
*
)
$
!
% %"# " ! "%"# " ! (
!
$$
+ ! .
$ $ $ $
0
$ ! " # % ! , $'# /
#
"
%1 " # % #1 "!
#
$
!
!
#$ $ !
$
& $1 " # % #1 "! '
# #
$ $
&' # " # % ! $
:#$!B+2%$5)$+!<$.'(!16%5',2%/!'$../!6/!'#$!/$.$5',2%!+6.$/C!
!
! ! ! " ! !# " ! ! #" ! !
!
@D9@E!!:#$!(%86.(+!,%'$8+(.!,/!
!
! % $ "" " # #%## "" " # #%!#" " "" " # # &$ !
! ! " #" !! $ # $ % ! $
?2+!(! ! ! " !'+(%/,',2%0!&$!*6/'!#(3$! ! " ! ! 0!/2!'#$!/$.$5',2%!+6.$! ! ! ! " ! !# !+$F6,+$/!
! ! !!" 9!!G1!&$!5#22/$! ! ! !!" ! ! 0!'#$%!'#$!,%'$8+(.!,/!
!
!"##"#$%
# !
%
#&'#$%
!"#$%&$'()*+,(-.$
! "! !#! ! % $!!" "" # # #$$! "" # # #$$! "" # # # %$
&
&
'()"
'()" )*+ " %" %#
!
!
%&
%&
,&
$ & &
,& & ' , *
,
!
'()
"
)*+
"
%
"
%# !
) ,!
%
%
!
!
%& %&
%& %& ( & +
!%
!
,&
%
$
%&
&
!
$
%&
"#$!%$&'()!*+!,-.!/01.213!4*5$&!)#$!*+)$4%6(!6&!
$
! "! !#!
!
# "# #! $ " $$ & #
!%
( ! $ $&$ & ! % & %
%$ %" #! % " $ ('
#
$
#
# & &
! % ( $$!! !! $$!! !! !
$ %" '
!
7%89!"6:($!00.;!<$!4$)! !!"" "" ! !!
!
"
# $$!! !!
%"
$
#
# =!4*5*+4!
"
"
#$
#"
! "! !#! !
!
! $ $!! ! % !
$
"
#
%
!
$
!
#"
>8!)#$!)<8!64%$$.!
78%! 6! ! ! " ! )%6+&*)*8+=! ($)?&! @#88&$! !" ! !! 6+A! ! " ! ! =! &8! )#$! &$($@)*8+! %'($!
! ! ! " ! !# !%$-'*%$&! ! ! !.!!"#$+!)#$!*+)$4%6(!*&!
! "! !#" ! % $""# "" $ # #$!! "" $ # #$!! "" $ # # #$
!
!%
"&
+
!
%
&
+
(
+(
+
&
!%
&
'() " " %'& "# * '
'() " %&# - * '
'() " %&# - '() " #" ## !
*&
&"&
*&
)
,)
,
!% &
&"& *&
%
&
+
"&
'() % " #" % ## !
+
&
!% ,& ( !, +
*) -, !
!+&
&"& *& !%
"#$!%$&'()!*+!,-.!/01.213!4*5$&!)#$!*+)$4%6(!6&!
!
# ## "! $ " !$
! "! !#" ! %
%$ $" "! % " !
#
$
&
(
('
!
"
! $ !&$ & ! % & %
! $ !%% ! % %
!
!
"
# & &
!%
!!!! "" !!%% "%
$ "%" ('
!
7%89!"6:($!00.;!<$!4$)! !!!" ## ! ! !6+A! !!"" #" ! # $ =!4*5*+4!
!
!
! "! !#"
%
# # &" ) " ,
!
!%
!+
!
.
(
!$"
$ "$" ' * % -
>8!)#$!)<8!64%$$.!
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#!!$%&'$(')*+,$-.$/0#$1!"#2"3$4-5')$,&'$-.,'4(6+$
$
#
& $! %! $ $ #"
#" !
#$
#
!
!
"
"
!
!
"
"
!
!
"
"
%#
#
(
!
"
!
"
!
"
#
!$
$ !"
(' &% %! " $ #
!
!
"
)%
+ ! $ ##$ # ! " # "
+*
! $ #'' ! " ' $
78($6$,(6.)-,-8.$9(8:$6.$-.-,-6+$!$),6,';$,&'$-.,'4(6+$-)$
$
&
$
#" !
#
#$
!
!
"
"
!
!
"
"
!
!
"
"
%#
#
(
!
"
!
"
!
"
#
#
$ !"
(' %% &! " $ #
!
!
"
#
)&
+ ###$ # ! " # " ##'' ! " ' $
+*
%&'$ <6(-,=$ )'+'>,-8.$ (*+'$ ! ! ! ! " $ >8:')$ 9(8:$ ,&'$ ?+'@)>&AB8(C6.$ >8'99->'.,$
!
!!"" !" ! " $ 6.C$ :'6.)$ ,&6,$ .8.'$ 89$ ,&'$ .8.D'(8$ ?+'@)>&AB8(C6.$ >8'99->'.,)$
!!!" ! !! # $ -.$ %6@+'$ !!#E$ >8((')<8.C$ ,8$ 6++8F'C$ ,(6.)-,-8.)#$ $ G++$ ,&'$ 8,&'($ .8.D'(8$
?+'@)>&AB8(C6.$>8'99->-'.,)$>8((')<8.C$,8$6++8F'C$,(6.)-,-8.)$6)$98++8F)H$
!!!" ! ! # ! # !"!!! $!" !!!! %# & "! #
!!!! $$ !"!!! $! !!!&$
!!!% $! !"!!! $! !!!&!
!!!# "! $% !"!!! $! !!!&%
!!%! $! !"!!! $% !!!&!
!!%% $% !"!!! $% !!!&%
!!%# "! $# "! !"!!! $% !!!&"!
$
$
!!# "!! $% !"!!! $"! !!!&%
!!# "!% $# "! !"!!! $"! !!!&"!
!!# "!# "! $# "$ !"!!! $"! !!!&"$
!!!# "! %% !"!!! $! !!!%%
!!%% %% !"!!! $% !!!%%
!
!!# "!! %% !"!!! $"! !!!%%
%&'$<8))-@+'$,(6.)-,-8.)$6('$)&8F.$@'+8F$
p
$
!"##"#$%
s
mi = -1
mi = 0
mf = 0
%
mi = 1
$
#&'#&%
!"#$%&$'()*+,(-.$
mi = -1
mi = 0
mi = 1
m f = -2 m f = -1
mf = 0
mf = 1
p
d
!
mf = 2 !
!
"#$"%!!&!'()*+,-.!/0+1!20/*02!3.!0'-!20/0-!!! ! !"!! ! #"!"! ! #$!!&2!30!)-4/(2!0'-!5*3.435/6!
78/.081! .819-*! !! :366! )-4*-/2-$! ! ;'-! /.,86/*! 1+1-.081! 78/.081! .819-*2! +9-(! 0'-!!
2-6-403+.! *86-2! !!! ! "#!!!! ! "! "#$! ! ;'-! 3.303/6! 20/0-! 32! /! 20*-04'-)! 20/0-! :30'! 1/<31/6!
=/68-2! +>! 0'-! /.,86/*! 1+1-.081! 78/.081! .819-*2?! 2+! 0'-(! 4/.! +.6(! )-4*-/2-! /2! 0'-!
/0+12!)-4/(2$!!@-4/82-!0'-(!4/.!+.6(!)-4*-/2-!9(!"?!0'-!)-4/(!4'/3.!1820!9-!
! !" !!!""# !!!# #$ !!!$$% !
!
A+*! -/4'! 20-5! +>! 0'-! )-4/(?!0'-!1/,.-034! 78/.081! .819-*! 4'/.,-2! 9(! B"$! ! ;'-! 6+22! +>!
/.,86/*!1+1-.081!4+15+.-.0!9(!0'-!/0+1!1820!9-!4+15-.2/0-)!9(!/!,/3.!9(!0'-!63,'0!
>3-6)?! 2+!0'-!-1300-)! 5+6/*3C/03+.2!+>! 0'-!5'+0+.2!/*-! ! ! ! >+*! -/4'! )-4/(! 20-5$! ! ;'-! >866!
)-4/(!4'/3.!32!2'+:.!9-6+:!D-.-*,(!.+0!0+!24/6-E$!
4f
m = -3
m = -2
m = -1
m= 0
m= 1
m= 2
m= 3
s+
3d
m = -2
m = -1
m= 0
m= 1
m= 2
s+
2p
m = -1
m= 0
m= 1
s+
1s
!
m=0
!
!
"#$"F!!;'-!0*/.2303+.!)3/,*/1!>+*!0'-!!! ! " " !/92+*503+.!32!2'+:.!9-6+:$!
=
-1
!
!"##"#$%
1s
p
mi = 0
%
=
Dm = 0
Dm
s-
mf = 1
+1
mf = 0
m f = -1
Dm
2p
s+
!
#&'#(%
!"#$%&$'()*+,(-.$
!"#$%&'()*")+,-.)/0./12)*3')4,-5)"6) !! )73%5-'4)6"&)'%73)*&%54,*,"5)8'7%94')*3')"&('&)"6)
*3'),5,*,%:)%5()6,5%:)4*%*'4)73%5-'4.));%73)*&%54,*,"5)"8'<4)*3')#%-5'*,7)=9%5*9#)59#8'&)
4':'7*,"5)&9:') !! ! ! " " !# ! !" "#)*3%*)('47&,8'4)*3')73%5-'),5)*3')!>7"#$"5'5*)"6)*3')
%5-9:%&)#"#'5*9#)"6)*3')%*"#.))?3,4)73%5-'),5)%5-9:%&)#"#'5*9#)#94*)7"#')6&"#)*3')
%84"&8'() $3"*"52) 4") *3') $3"*"5) 3':,7,*<) ,4) ('*'&#,5'() 8<) !! .) ) @5) "*3'&) A"&(42)
7"54'&B%*,"5)"6)%5-9:%&)#"#'5*9#)"6)*3')A3":')4<4*'#)&'=9,&'4)*3%*)
)
#!
#!
$ #
$ " #!
!"#"$%! & ! !"#"$%!' ! "
$
$!"
$"#!! &
" ! ()#"#*! & ! !$"#!!' " ! ()#"#*!' ! "
$"#!! &
! !$"#!!'
()#"#*! &
! ! ()#"#*!'
)
#
"!$"#! ! !"! ()#"#* ! ! ! ()#"#*! & ! ! ()#"#*!'
$
@5)*3')%84"&$*,"5)7%4'2)*3'&'),4)"5:<)%5),5,*,%:)$3"*"52)4")
!!"#$! ! ! %&$#$'!( )
)
%5()*3')$3"*"5)3':,7,*<) #%*73'4),4)'=9%:)*") !! .))@5)*3') '#,44,"5) 7%4') ('$,7*'() ,5) +,-.)
/0./12)*3'&'),4)"5:<)%)6,5%:)$3"*"52)4")
!!"#$! ! "! %&$#$'! ( )
)
4") *3') 4,-5)"6)*3')'#,**'()$3"*"5)3':,7,*<) ,4)"$$"4,*')*") !! .))?3')5'*)&'49:*),4)*3%*)*3')
$3"*"5)3':,7,*<),4)*3')4%#')6"&)'#,44,"5)%5()%84"&$*,"5.)
)
/0./0))+"&)%)"5'>(,#'54,"5%:)4<4*'#2)*3')4$"5*%5'"94)'#,44,"5)&%*')C94,5-);=.)D/0.EFGH)
6&"#)%5)'I7,*'()4*%*') !" )*")%):"A'&)4*%*') ! " ),4)
% !! ""# " $
!
!"# " $ !
"# ' " $ )
"
"
"#
!&
#
!
%G) ) ?3') 4':'7*,"5) &9:'4) 7"#') 6&"#) 'I%#,5,5-) *3') #%*&,I) ':'#'5*.) ) +"&) *3') 3%&#"5,7)
"47,::%*"&2)*3')#%*&,I)':'#'5*),4))
)
!" # ! $ !
!
)
!
!
!
!" & " " & ! $ !
!%!
!%!
#
#
!
# !"
!%! $
$
#!
"
& " ! $ " !" & ! $
! $ ! $ " # %&
! $ " # ! $ " # " !"
!
!
!%!
#
! $ " # !" ! $ " # " ! $ !" ! $ " #
!
!%!
#
! $ " #' !" $! $ "# " ! $ ' !" $! $ "#
!
$
$
$
)
$
?3')4*%*') ! " )#94*)8'):"A'&)*3%*)*3')4*%*') !" )6"&)'#,44,"52)4")*3')4':'7*,"5)&9:'),4)
!"##"#$%
%
#&'#!%
!"#$%&$'()*+,(-.$
!! ! ! " " !# ! "!
!
! " ! !# " !
!
"#! ! $%&! '&(&)*+,-! ./(&! *&(('! /'! *%0*! ,-(1! *%&! ! ! !! '*0*&! )0-! 2&)01! *,! *%&! ! ! ! ! 3.,/-2!
'*0*&4!
)#!!$%&!'5,-*0-&,/'!&6+''+,-!.0*&!7,.!*%&!7+.'*!&8)+*&2!'*0*&!+'!
#
#
!
!
" #! !"$
" #! $
" #! $
" #! #
!
!!" !
!$" !
!
!
!
$"# " !# $
$"# " !# $ #%!
$"# " !# $ #%! %"# " %# $
!
2#!!9,.!0-!&(&)*.,-!",/-2!+-!0!5,*&-*+0(!:+*%! ! ! !"!# !!"# $ ;!*%&!'5,-*0-&,/'!&6+''+,-!
.0*&!7,.!*%&!7+.'*!&8)+*&2!'*0*&!+'!
"
#"
%!$
!) %!
"#! #
"# #!! #
! # $()*# $ !" "%& !" &
!
!
! !!" !
$"# " #$ % &"# " !$ %#$ # !%' %
)(!! $ !" ) "%&
!
$%&!(+7&*+6&!+'!
!
! !" !
#
#
! $(#' $ !" $ & %! !
!
!
!
! "$!# #" !
!!" #$%& " !" # " #!
<,*&=!>?4!@AB4CD#!:0'!2&.+E&2!0''/6+-3!*%0*!*%&!"(0)F",21!.02+0*+,-!+'!+',*.,5+)!0-2!*%&!
5,(0.+G0*+,-!E&)*,.!+'!.0-2,6;!:%+)%!.&'/(*&2! +-!*%&!AHD!70)*,.!7.,6!>?4! @AB4IJ#4!!9,.!0!
,-&K2+6&-'+,-0(! '1'*&6;! :&! 6+3%*! .&0',-0"(1! 0''/6&! *%0*! *%&! 055(+&2! 5,(0.+G0*+,-! +'!
0(+3-&2!:+*%!*%&!,')+((0*,.;!0-2!%&-)&!-,*!+-)(/2&!*%&!AHD!70)*,.4!!$%&!.&'/(*!:,/(2!"&!0!
'5,-*0-&,/'!&6+''+,-!.0*&!D!*+6&'!(0.3&.!0-2!0!(+7&*+6&!D!*+6&'!'%,.*&.!*%0-!*%,'&!0",E&4!
!
!
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#!$ $ %&$ '()$ &)*+),'-&)./(01+$ *22+13.4*'.1&! 5)$ *,,64)$ '(*'$ '()$ 7(122.&/7$ 4*'+.3$
)8)4)&',$ !$*+)$9)+1$6&8),,$'()$'51$5)88,$*+)$*:;*<)&'#$$=)&<)$'()$4*'+.3$+)2+),)&'.&/$'()$
=*4.8'1&.*&$>1+$*$8.&)*+$<(*.&$1>$?$5)88,$.,$$
# ! " ! &
(
%
! !% " ! " ( $
%$ ! " ! ('
!
$
@.*/1&*8.9.&/$'(.,$=*4.8'1&.*&$$
! "#
$
!
$
! "#
$
!!
!
$
! "#
$
"! " # # %&"! " # #" " $ " '( " $ " "! " # # ! !
$
"! " # # %&"! " # #" " "$ " '( ! !!!!)!!! # ! ! #!! $
"$
/.A),$'()$)&)+/B$)./)&A*86),$
!! ! ! " " #
!" ! !
$
$
!# ! ! " " #
C()$)./)&,'*'),$*+)$
! ! ! ! "! ! !
$
'$
# '
)&
)
) & $ ) ! " * ##
)( % % (
$ " # "
&
& # " #
&% " # "
"
#
"
+
$ !
!&
# # $ " $ $ # % ! " * ## $ , ! ! !
* #
# &&
% !
#$ $ " % ! " * ## %
.
!
" # $ #$ ! " * ## #
"
!"##"#$%
"
#
#
%
#
$ # '
& $ )$
&
)
% % (
'
)
)
)(
#&'#%
!"#$%&$'()*+,(-.$
! ! ! ! "! ! !
$ " # "
&
& # " #
&% " # "
!
!
'$
$ #
# '
)&
)
&
)& $ ) !"& $
)( % % (
% %
" # " #$ ! " #
## " "$ " #% ! "$
#$ " " % ! " %
'
)
)
(
!
*
$ # '
,
# &
" )
+ !! !
&
)
!
,
% .# (
! ! ! ! "! ! !
$ " # " '$
# '
)&
&
)
& # " # ) & $ ) ! " " ##
&% " # " )( % % (
#
!
#
$
*
,
$
$&
,
# # " " $ " # % ! " " ## $ + ! ! !
# &&
,
%
#$ " " % ! " " ## %
,
!
"#$%$!&'($)*(+,!%-+-$%!+,$!%#'./!0$('.!
" # " #$ ! " " ## #
#
#
$
a-
a
$
2b
$
$ # '
& $ )!
&
)
% % (
$ '
)
# )
$ )(
1a
2a
3a
1a
2a
3a
1a
2a
3a
a
a+
2b
!
!
!
!
!
!
!"##"#$%
%
#&'$%
!"#$%&$'()*+,(-.$
!"#$%%%&'(%)*%!+,-..%/0)1*2%30-%4)3(15%(-6(-7-*31*8%30-%9)41.3'*1)*%17%
# ! " ! ! " &
(
%
% " ! " ! " (
%
! !% ! " ! " " (%
(
%
% ! ! " ! " (
%$ # # # # $ ('
!
:'%;1*<%30-%-18-*=).>-7%)*<%-18-*=-/3'(7%1*%?)30-4)31/)2%>7-%30-%;'..',1*8%/'44)*<7@%
!"#$%&%'(%
)%&%*+,-./01%2#1%!"#$31%241%!"#$35(%
67/)//#1%#55%&% ! 1%2#1%!"#$35(%
67/)//#1%#%8%955%&% ! 1%2#1%!"#$%:%935(%
67/)//#1%#%:%955%&% ! 12#1%;1%!"#$35(%
)%<<%=+>?#@A7?$%
B#C.DE+-F.G/)5%
=+H/!7?$+-#I.1%B#C.DE.J>7?G/)55%
,01/0%6('<>/-%30-%'>36>3%
#
%
%
%
%
%
%
$
%
! " ! ! ! &
(
" ! " ! ! (
! " ! " ! (
(
! ! " ! " (
! ! ! " ! ('
"! "! ) ""! ! ""! )
#
#" " ! ! #" %
** $
$
$ " !"
."
0 + " !" )
0
#
#/
0, #
0
0* $ $
0
$ $0 +) " " !" ) " . "
0
% %/
0, % %
0
0* $ $ $ $ 0
+ +) " ) " !" " . "
.
0, % % % % /
0
0* $
$ $
$ $ -0
") "
") "
0+
."0
0, % # % # % % # / 0
0* $ $ $ $ $ 0
" "
" "
0+
0
.
,, % # % # % % # /
/
:0-%;'..',1*8%8()601/7%70',%30-%-*-(8A%.-=-.7%)(()*8-<%=-(31/)..A%)*<%30-%)46.13><-7%';%
-)/0%,-..%73)3-%)(()*8-<%0'(1B'*3)..A%
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
3 well chain
!
!
4 well chain
!
!
7 well chain
!
!
15 well chain
!
!
!
!
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
!"#$%%&'(%)*+%,-(.'/%01'210+%3'4+,54+6%)*+%)*(++%-)'31,%7)-)+7%-(+%/')%10+/)1,-4#%%8-)*+(6%
)*+%31004+%7)-)+% ! %-77',1-)+0%91)*%)*+%,-(.'/%-)'3%17%01::+(+/)%:('3%)*+%7)-)+7% ! %-/0%
! %-77',1-)+0%91)*%)*+%'2;<+/%-)'37#%%=+/,+%)*+%>'/?71)+>%+/+(<1+7%':%+4+,)('/7%'/%)*+%
17'4-)+0%'2;<+/%-/0%,-(.'/%-)'37%-(+%01::+(+/)#%%@+%4-.+4%)*+3% ! ! %-/0% ! ! #%%A*+%/+-(%
/+1<*.'(%*'BB1/<%3-)(12%+4+3+/)% ! %0+7,(1.+7%)*+%,-(.'/?'2;<+/%1/)+(-,)1'/#%%A*+(+%17%/'%
'2;<+/?'2;<+/%,'5B41/<#%%=+/,+%)*+%3-)(12%(+B(+7+/)1/<%)*+%=-314)'/1-/%:'(%CDE%17%
# !" "
%
! ! % " !#
% !
"
$
!
%
! &
(
" (%
! " ('
F1-<'/-41G1/<%)*17%=-314)'/1-/%%
%
!! " #
$
!
$
!" " #
$
!
$
!! " #
!!
"! ! " # # %&"! " " # #"! ! " # # " $ " '( " $ " "! ! " # # ! !
"! ! " # # %&"! " " # #"! ! " # # " "$ " '( ! !
!!!)!!! # ! ! ! #! $" "! " $ ! ! # % $"
%
"! " " ! ! #" $ %$ "
<1H+7%)*+%+/+(<;%+1<+/H-45+7%
!! !
!
"
#! " " ! # $ " !" #! " " ! # $" " ## "
!" ! ! #
%
!$ !
!
"
%
#! " " ! # $ " !" #! " " ! # $" " ## "
A*+%+1<+/7)-)+7%-(+%%
! ! ! ! "! ! !
%
$ "# #
&
& # "$
& "
#
%
" '$ %
)
# )& &
&
" # )( % '
!
#
#% " "$& " ' !
#& " " # ' !
!"##"#$%
# #"
!
#
# #" " $
# # #" " $
# #" " $
" # % " #& !
!
'
)!
)
(
!
#
$
!
#
$
$
" "# $ *
!
#
#" $ * " # $
$
#
" $#
#
$
$ % '
& & )
&
)
% ' (
+
!
#
#
!
& , !! !
$ " # * # #" $ * " # $ " $ #
# " / *#
#
" # * !# #" $ * " # $ " $ # # '
.
"
#
* !#
#" $ * " # $# " $# #
$
%
%
$
%
$ ! '
& / )
& * )
&% ! )(
#&'&%
!"#$%&$'()*+,(-.$
! ! ! ! "! ! !
$ "# #
&
& # "$
& "
#
%
!
" '$ %
)
# )& &
&
" # )( % '
'
$ % '
) !" & & ) !
#
)
&
)
(
% ' (
*
$ # '
,
# &
# % " " $ & " # ' ! " #& + ! ! !
" )
&
)
!
,
% .# (
#& " " # ' ! " # '
!
" # % " #& ! " # %
"#$%!&'()*+(,-!%.,.)!$%!,!%+/)-/'%$.$'0!'1!'234)0!%.,.)%!'0(35!,06!.#)!)0)-43!$%!.#)!%,&)!
,%!.#)!)0)-43!'1!.#)!,.'&$*!'234)0!%.,.)7!
! ! ! ! "! ! !
!
$ "# #
&
& # "$
& "
#
%
" '$ % '
)
# )& & ) !
&
)
" # )( % ' (
#
# #"
#
$
$
" "# $ "
#
$
#" $ * " # $
$
$
" %#
$
$
$ % '
& & )
&
)
% ' (
+
#
$
# % " " $ & " # ' ! #$ #" $ " " # $ " #$ #" $ * " # $ " % # $ & , ! ! !
$ " / "$
$
# & " " # ' ! #$ #" $ " " # $ " #$ #" $ * " # $ " % # $ '
.
!
8#)-)!.#)!/,-,&).)-%! ! ! !,-)!!
" # % " #& !
#
!
#
$
#" $ " " # $ " #$ #" $ * " # $$ " %# $
#
$
!! "
!
"
%
$
#" ! # " " $ ! !" #" ! # " " $" % #$ "
$
!
$ # '
& / )
& " )
&% # )(
!
9'()*+(,-!%.,.)%!:!,06!;!,-)!%+/)-/'%$.$'0%!'1!'234)0!%.,.)%!<$0!)=+,(!/-'/'-.$'0>!,06!'1!
.#)! *,-?'0!%.,.)5!,06! .#)! )0)-4$)%!,-)!)=+,((3! 6$%/(,*)6!1-'&!.#)! ,@)-,4)!)0)-43!'1! .#)!
*,-?'0!,06!'234)0!%.,.)%7!
!
!
!
!
!
!
!
!
!
!"##"#$%
%
#&'!%
!"#$%&$'()*+,(-.$
!"#$%%&'(%()*(+,-.+%./%*'(%012-3*.+-1+%-+%4-5#%!"#!6%*.%7%8(33,%-,%%
!!
%
"!
# !!
%
% "!
%
$
# $ ! %%
$
%
% " !"
%
%$ $
!
#!
!"
""
#"
$ & !!
(
" !" ( "!
(
$ ( #!
$ ( !"
(
" " ( ""
(
! " (' #"
"!
$
$
" !"
!!
"!
" !"
$
"!
!!
$
" !"
" !"
$
!"
""
$
" !"
""
!"
" !"
$
$
""
%
9(%():;(,,%*'(%(+(;5<%(-5(+=13>(%(?>1*-.+% ! ! ! " ! %1,%
%
# !!
%
% "!
%
% !
% !
%
% " !"
%
%$ !
"!
!
!
" !"
!!
"!
" !"
!
"!
!!
!
" !"
" !"
!
!"
""
!
" !"
""
!"
" !"
!
!
""
! & # #"!
(%
" !" ( % ## !
(
! ( % #$!
%
! ( % #""
(%
" " ( % ##"
(%
! " (' $ #$"
&
#
(
%
(
%
(
%
( ! $%
(
%
(
%
(
%
(
%
'
$
#"! &
(
## ! (
(
#$! (
%
#"" (
(
##" (
#$" ('
4.;%1+%!@8(33%,<,*(2A%*'-,%3(1B,%*.%*'(%(?>1*-.+,%
! ! "!! ! " ! "" ! ! " !# ""# " $"!!
" ! "!! ! ! ! "" ! ! " ! "#! ! " !# "!# ! " !# "## " $"" !
" ! "" ! ! ! ! "#! ! " ! "$ ! ! " !# ""# ! " !# "$ # " $"#!
!
%
! # "!# ! " # ""# ! " !# "" ! " $"!#
%
" # "!# ! ! # ""# ! " # "## ! " !# "!! ! " !# "#! " $""#
" # ""# ! ! # "## ! " # "$ # ! " !# "" ! ! " !# "$ ! " $"##
!
!
9(%-5+.;(%*'(%(+B:.-+*%(?>1*-.+,%*.%/-+B%*'(%5(+(;13%(?>1*-.+,%
%
! ! " #"!"! ! # ! " #! ! ! ! " #!!"! ! ! !$ " #"!"$ ! ! !$ " #!!"$ " %" #!
! $ " #"!"$ ! # $ " #$ ! ! $ " #!!"$ ! ! !$ " #"!"! ! ! !$ " #!!"! " %" #$
%
9(% >,(% *'(% *(C'+-?>(% ./% +.;213% 2.B(% ,.3>*-.+,% *.% ,.3=(% *'(,(% (?>1*-.+,% /.;% *'(%
C.(//-C-(+*,%%1+B%*'(%(+(;5-(,#%%9(%1,,>2(%%
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
! "# ! $%&"'(
!
! "% ! )%&"'(
!
"#$%!&$'(%!
!
!
"
! ! "#$! %"!"&' # # ! " ( "#$%&' # ! ! "#$! %#!"&' # ! !# )#$! %"!"&' # ! !# )#$! %#!"&' $ "
! # )#$! %"!"&' # !# # " ( " )#$%&' # ! # )#$! %#!"&' # ! !# "#$! %"!"&' # ! !# "#$! %#!"&' $ "
!
)*+,-.!-/,! !"#$% !,-!-0,*$1!
"
#
! ! "#"$%& ! # ! " ' " ! ! ! "#$%& ! ! !# (#"$%& ! ! !# (#$%& $ !
!
! # (#"$%& ! "# # " ' # ( ! ! # (#$%& ! ! !# "#"$%& ! ! !# "#$%& $ !
!
2%(!,#(!3/4(.!.(4*,$-1!,-!&(,!
"!
!
"!
!
#
! ! " ! "#$ " "# # # $ % ! ! " !& ' "#$ " "# # $ %
& ! ! " & "#$ " "# # # $ # ' ! ! " !& % "#$ " "# # $ %
!
).-5!,#(!%$1&4(!%,*,(!(6*574(8!9(!.(+-&1$:(!,#*,!!
!" ! # " # ! " $ ! " " "#$ ! #$ "
!
!% ! # " # ! % $ ! " % "#$ ! #$ "
!
*.(!,#(!;$%7(.%$-1!.(4*,$-1%!,#*,!9(!9-/4;!#*'(!-0,*$1(;!$<!9(!#*;!+-1%$;(.(;!($,#(.!,#(!
&.-/1;!-.!(6+$,(;!%,*,(%!*4-1(!=-.!9$,#!1-!$1,(.*+,$-1>?!!2%$1&!,#(%(!(@/*,$-1%!,-!%$574$<A!
,#(!1-,*,$-18!9(!%-4'(!,#(!,9-!(@/*,$-1%!<.-5!,#(!(1(.&AB!
! ! ! # " ! $ " % # !"
"
!
! ! !& ! # " ! $ "
!
"&
' "#$ ! #( " $ %!!!#!!!' $ !
! ! ! # " ! $ " # !"
"
! " "& "#$ ! #( "
"&
! ! !#" ! $" %
"
! " "& "#$ ! #( "
"#$ ! #( " $ %
!
"
$ ! ! $ !" ! # " # !& ! # " ! & " "&! "#$ ! ! #( " # !" ! # " !& ! # " $ %
C-4'$1&!,#(!@/*;.*,$+!(@/*,$-1!<-.!,#(!(1(.&A!A$(4;%!
!
!! ! " " # !" !" #$ ! " " $ #% ! " " #$ $
!
#
!" #$ ! " " % #% ! " " #$ $ # & $%" $%& " ! "& "
!" ! " " # !" #$ ! " " $ #% ! " " #$ %
!
#
!" #$ ! " " % #% ! " " #$ $ # & $%& ! "& "
!
"
"
"
"
$%
!
"
"#(!74-,!0(4-9!&$'(%!,#(!;$%7(.%$-1!.(4*,$-18!%#-9$1&!,#*,!,#(!1-1D$1,(.*+,$1&!;$%7(.%$-1!
.(4*,$-1%!=;*%#(;!4$1(%!<.-5!)$&?!EF?EE>!*.(!7/%#(;!*7*.,!0A!,#(!$1,(.*+,$-1?!
!"##"#$%
%
#&'(%
!"#$%&$'()*+,(-.$
EHkL
ae
ag
p
!
p
a
0
-a
k
!
!
"#$#!!%&!'()! ! ! ! !" !*!+,-!.(/-01/%)!2%3-!4150+6(5!67!
! " !" ! #"$ !
%
#
#
#$
%&" !"
$ & #"$
&!%
$%" !"
%&$% #"$ " $%" !"$ & #"$ " $%" !&$ ' #"$ " $% '" !"$ " #"$ " $%" $ ( #"$ " $% ( " !"$ ) #"$***'(
#
%" !"
$
%&$% #"$ " $%" !"$ & #"$ " %$ ' #"$ " %$%" !"$ " #"$ ) $ ( #"$ ) $%" !"$ ) #"$***'(
!
!
#
$%" !"
%$% #"$ " %& $ & #"$ ) %& $ " #"$ ) $ ( #"$ ) %& $ ) #"$***'
!
(
# &
%$%" !" %
% $ & #"$ " $ ' #"$ " %& $ " #"$ ) %& $ ) #"$***'
"
(
# & &
!
!
87! 65! +,-! +-9+:((;! -9%.</-7*! +,-! <%++-)57! (4! +,-! )-%/! %5=! 6.%>65%)?! <%)+7! %)-!+,-! 7%.-!
@ !" #$ "#" #$ " !" !#$ " !#" !#$ " !""&! 26+,! %! )-<-%+! =67+%50-! 65! +,67! 0%7-! (4! A! 0-//7$! ! B-50-! +,-!
!
2%3-!4150+6(5!,%7!%!2%3-/-5>+,!0())-7<(5=65>!+(!C!D!!E!A"!%7!-36=-5+!:-/(2F!
Re@ypë4 a HxLD
1a 2a 3a 4a 5a 6a 7a 8a 9a 10a
!
Im@ypë4 a HxLD
!
1a 2a 3a 4a 5a 6a 7a 8a 9a 10a
!
!"##"#$%
x
x
!
%
#&'(%
!"#$%&$'()*+,(-.$
!"#$#%#&'($)*$+"#$,+-+#$.,$/#+#&0.%#/$1($+"#$/.,2#&,.)%$&#3-+.)%$
! ! " " # ! $ ! " "#$ ! "# " $
$
4)&$ ! ! ! !" 5$+"#$#%#&'($.,$
!
! !! !" " # " $ " # #$% !! ! " # " $ " # &
$
"
" # " $ "# $
16$7#2#-+$*)&$ ! ! ! !" 8$$!"#$0)3#9:3-&$;-<#$*:%9+.)%$.,$
! " !"! #"$ !
$
%
#
#
#$
%&" !"
$ & #"$
&!%
$%" !"
%&$% #"$ " $%" !"$ & #"$ " $%" !'$ ' #"$ " $%" !&$ ( #"$ " $% & " !'$ ) #"$ " $% ) " !"$ " #"$***'(
!
#
%" !"
$
%&$% #"$ " $%" !"$ & #"$ " $%" !'$ ' #"$ " %$ ( #"$ " %$%" !"$ ) #"$ " %$%" !'$ " #"$***'(
$
!
#
$%" !"
%$% #"$ " &' $ & #"$ " %& $ ' #"$ ) %& $ ) #"$ ) &' $ " #"$***'
!
(
# &
%$%" !" %
% & $ & #"$ " &' $ ' #"$ " $ ( #"$ " &' $ ) #"$ " %& $ " #"$***'
"
(
# &
=,$ .%$ +"#$ +#>+1))?$ #>-023#,5$ +"#$ 2-++#&%,$ )*$ +"#$ &#-3$ -%/$ .0-'.%-&($ 2-&+,$ -&#$+"#$ ,-0#$
@ !" #$ " $% "#" $% " #$ " !" !#$ " ! $ % " !#" ! $ % " !#$ " !"" 6$;.+"$-$&#2#-+$/.,+-%9#$ .%$+".,$9-,#$ )*$AB$9#33,8$$
!
C#%9#$+"#$;-<#$*:%9+.)%$"-,$-$;-<#3#%'+"$9)&&#,2)%/.%'$+)$B!D!$E$AB"$-,$#<./#%+$1#3);F$
Re@ypë6 a HxLD
1a 2a 3a 4a 5a 6a 7a 8a 9a 10a 11a 12a 13a
$
x
$
Im@ypë6 a HxLD
1a 2a 3a 4a 5a 6a 7a 8a 9a 10a 11a 12a 13a
$
x
$
!"#$#%#&'($)*$+"#$,+-+#$.,$/#+#&0.%#/$1($+"#$/.,2#&,.)%$&#3-+.)%$
$
! ! " " # ! $ ! " "#$ ! "# " $
4)&$ ! ! ! !" 5$+"#$#%#&'($.,$
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
! !! !" " # " $ " # #$% !! ! " # " $ " #
!
!
"
& " # " $ &# !
"#!$%&%'(!)*+! ! ! ! !" " "! " ! #$! !" ,!!-.%!/*0%"10'+!2'3%!)14"(5*4!56!
! !"" #$! %"& !
!
#
#
#$
%&!"" #$
$ & %"&
&!!
$%!"" #$
%&$! %"& " $%!"" #$$ ' %"& " $%!"" #"$ " %"& " $%!"" #'$ ( %"& " $% '$ " #"$ ) %"& " $% $) " #$$ $ %"&***'(
#
%!"" #$
$
%&$! %"& " $%" #$$ ' %"& " $%" #"$ " %"& " $%" #'$ ( %"& " $% ' " #"$ ) %"& " $% ) " #$$ $ %"&***'(
!
#
%" #$
$
%&$! %"& " $%" #$$ ' %"& " $%" #"$ " %"& " %$ ( %"& " %$%" #$$ ) %"& " %$%" #"$ $ %"&***'(
!
#
%" #$
$
%$! %"& " '" $ ' %"& " !' $ " %"& ) !' $ ) %"& ) '" $ $ %"&***'
!
(
# &
%$%" #$ !
% ' $ ' %"& " '" $ " %"& " $ ( %"& " '" $ ) %"& " !' $ $ %"&***'
"
(
# &
!
!
74!(.%!(.5+8!054%!'9*3%:!2%!+%81"%8!%'".!&.'6%!9;!'4!54(%<%+!/10(5&0%!*)! !! ,!!-.%!)54'0!
+%610(! 56! (.'(! (.%! 2'3%! )14"(5*4! 56! 58%4(5"'0! (*! (.%! ! ! ! !" ! "'6%! 54! =9#,! ! >%4"%:! (.%!
6%"*48!?+500*154!@*4%!56!%A153'0%4(!(*!(.%!)5+6(!@*4%,!
!
BC,D!!-.%!54(%<+'0!56!
!"#" ! !
!
!!$%
!!"#
! $ " ! # %! !
-.%! (*('0! %4%+<;! *)! '! 6;6(%/! 56! )*148! 9;! '8854<! (.%! %4%+<5%6! *)! (.%! "*/&*4%4(! 6('(%6,!
! ! " " !56!(.%!41/9%+!*)!6('(%6!&%+!145(!%4%+<;!54(%+3'0:!6* ! ! " " #" !+%&+%6%4(6!(.%!41/9%+!
*)! 6('(%6! 54! '4! %4%+<;! 54(%+3'0! !":! '48! (.*6%! 6('(%6! %'".! .'3%! %4%+<;! ",! -.%! 54(%<+'0!
&%+)*+/6!(.%!61/,!
E654<!FA,!=BC,GC#!)*+!(.%!8%465(;!*)!6('(%6:!2%!<%(!
!
!"#" ! !
!!$%
!!"#
! $ " ! # %! ! !
!!$%
!!"#
!
!!$%
!
&
&
%! !
%! !
!
!
&"# ' '"# " (' #
&"# ' !"# '"# " (' #
?%"'16%!#="#!56!'!)14"(5*4!*)!"!+'(.%+!(.'4!$:!2%!/16(!%H&+%66!$!54!(%+/6!*)!"!(*!8*!(.%!
54(%<+'0,!!E6%!
! ! ! " ! " "#$ # "# $
!
!
$ ! #! ' !
$%& # "# $ ! ' # "#$ # "# $ ! ' # &
% ! " )(
!
(*!<%(!
!"##"#$%
%
#&'##%
!"#$%&$'()*+,(-.$
!"#" !
!
!#&'
$
+
!!" % !#$%
!
% ! #$ (
"# '
& ! " *)
!
&!
!
)" ! # " ! # $ #
$ ,
#" % ! # $ (
!
. !$" ($% '
!
# !"
& ! " *)
"!
!!" % .
-
!
$ $! "
/
1
!
10
$ #! "
$
$$ '%$
! '$
% !!$" & ! !
%
%
!!" %
!
"#$%!!&'!()*!&!+*,,!-&*./01,2!.3,!*,1&./)4!5,.6,,4!!!&47!"!/8!
!! " !
!!
!
!#
!
!
98/4:!;<$!="#$>?'2!.3,!7,48/.@!)+!8.&.,8!/4!,4,*:@!8-&0,!/4!)4,!7/A,48/)4!/8!
!
# $% # " $" %
!!"" #
# $ '
!
! # $% &
$"
!
(!
# " !" % %
# $
! # & '&
(!
#
&#
!
! !" %
B*/./4:!.3/8!/4!.,*A8!)+!.3,!,4,*:@2!6,!:,.!
!!
#$
#$
$ #
!!"" # ! # !
#
!
! ! % ! ! !#" ! ! !"
!
5'!!C)!+/47!.3,!7,48/.@!)+!8.&.,8!/4!,4,*:@!8-&0,!/4!.6)!7/A,48/)482!:)!5&0D!&47!*,E/8/.!
.3,!&*:FA,4.!/4!G,0./)4!"#$%$!!C3,!4FA5,*!)+!8.&.,8!/4!&!*,:/)4!)+!8/H,!#"!/4!"!8-&0,!/8!.3,!
7,48/.@! !" ! " " !./A,8!#"$!!B,!0&4!0&10F1&.,!.3,!4FA5,*!)+!8.&.,8!5@!7/E/7/4:!.3,!E)1FA,!)+!
.3,!*,:/)4!5@!.3,!E)1FA,!-,*!8.&.,$!!I4!)4,!7/A,48/)42!.3,!E)1FA,!)+!.3,!*,:/)4!/8!#"!&47!
.3,!E)1FA,!-,*!8.&.,!/8! !! !" !=G,,!(/:$!"#$J!&47!5,1)6'!
!
k
!
8)!.3,!4FA5,*!)+!8.&.,8!/8!
!
!" ! " " #" #
dk
!
#"
$%
#
#" !
!! $% !!
&47!.3,!7,48/.@!/4!"!8-&0,!/8!
!
!" ! " " #
#
!
!!
&8! 6,! +)F47! /4! ;<$! ="#$>"'2! 63,*,! $! K!%&! /8! .3,! 1,4:.3! ="! 7/A,48/)4&1! E)1FA,'! )+! .3,!
03&/4!)+!6,118$!
!"##"#$%
%
#&'#$%
!"#$%&$'()*+,(-.$
!"# $%&# '()*"+(&"+,# $-*# .&/0)*# &1# $-*# 2""0/23# 3*4(&"# &1# %('$-# !"# (+# !! ! "! 2"'# $-*#
!
.&/0)*#5*3#+$2$*#(+# ! !! !" " #
dk
k
#
#
+&#$-*#"0)6*3#&1#+$2$*+#(+#
#
!" ! " " #" #
!! " #"
! !!
$% "
!
!
$% "
!
#
" #" #
!!
2"'#$-*#'*"+($7#("#"#+528*#(+#
!" ! " " #
#
#!
"#
!!
9&#1("'#$-*#*"*347#'*"+($7#&1#+$2$*+,#0+*#:;<#=>?<@ABC#
#
$#
%! $# %!
! ! " " # !!# ! # "
#!
#
#
!
!
!
$"
$"
!
" $" %
#$ '
# $# &
("
%!
#
!
" !! # %
#$
# & '&
("
#
&%!
#
! !!
9-(+#(+#2#8&"+$2"$,#("'*5*"'*"$#&1#$-*#*"*347<#
#
>?<D# # 9-*# %*//# 5232)*$*3##E#(+#="&$*#$-2$# %-*"#0+("4# $-*# *;02$(&"+#13&)# F-25$*3#?,#%*#
)0+$#0+*# ! ! #1&3#$-*#%*//#-2/1G%('$-,#%-(8-#%2+#$#("#F-25$*3#?B#
""#! " $ " #
" " #$$%&# #$&# " !%&#'" " #
!! !
!
! !%()* #
"
!"
$"'!&#'" "! #
"
!
"
#
!"##"#$%
"
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#$% &'(')*+*(% #$% ,*$$% +"'-% ! ! .% $/% +"*(*% #$% /-,0% /-*% $/,1+#/-% +/% +"*% +('-$2*-3*-+',%
*41'+#/-%3*+*()#-#-5%+"*%*-*(50%*#5*-6',1*$%7$**%8#59%:9;<=%
! !"# ! ! " # !$% ! ! % !!!"!!!! # $&'()%
%
>*-2*%+"*%?/1-3%$+'+*%*-*(50%#$%
!! #!
#!
!" !
!
& ! "#$%&'& %
!
! "
!$%
#
"
!
!"*%)'+(#@%*,*)*-+$%+"'+%A*%-**3%+/%3*+*()#-*% ! %'-3% ! %'(*%
%
$
! " ! ! ! ! " #$ ! % # !" " % #!" ! " % #!# ! " % # &% %
%
"$
'-3%%
%
! ! ! " " ! " ! ! & # !" # # $!" " # # $!# !"! # # $ $# %
%
$%
B*+C$%$*+% ! ! ! %D/(%2/-2(*+*-*$$9%%>*-2*% ! ! ! " " %,//E$%,#E*F%
0
-V0
-2a
-1a
0a
1a
2a
x
%
%
!"*% -/()',#G*3% A'6*% D1-2+#/-% D/(% '-% *6*-% &'(#+0% $+'+*% #-% '% D#-#+*% A*,,% A'$% D/1-3% #-%
H(/?,*)%:9;<F%
%
! !"!# ! $ " #
$ #$% ! '% " " !&% " !&$
! &&
#$% ! '$ "
%
% !&
&% " " &$
$
" & &' #$% ! '% " " ! !
$ % "% "
"% " # $ # % " %
$&% "
8/(%+"*%D#($+%)'+(#@%*,*)*-+%A*%5*+%
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
#
#
"#
!
! ! " ! ! $ ! !# " " #!! " " " #!! ! " " # #" ! $ $ ! " " " #! ! ! " " # #"
#
! $% $
$%$& $
$%"& $
$!%
" "!! #! ! ! " " #
$
#
#" ! "$!! % $
$
$!%
$%$& $
$%"& $
'(& &'( $ " ) & $ # "$("
!
' #"
& & %)
(' $ $ ( +*
$!! '(& &'( $ " ) & $ # # , '"$(" /
!"
% . "$( 1
& & %)
$!% 0 $%"& $
$
(' $ ( +*
$%$& $
!
!"
!
$!! '(& &'( $ " ) & $ # # , '"$(" $%"& $ # " '"$(" $%$& $ # /
1
%.
& & %)
$(
$!% 0
$
(' $ ( +*
!! &'( $ " ) & $ # # "$($% $(&
!"
%' ' "%
& (& ) $!%
(' $ %+*
$
"
#
"#$!%&'$!'$()*+!+$,&)-*./!&+$!0/$$!123!4536789!
! " ! ! #"! ! # ! ! # #$% #
!
$" ! ! #
!
:*+! )#-/! (#&-.;! ! ! !" 3! ! <)! -/! (*.'$.-$.)! )*! %+-)$! $'$+=)#-.>! -.! )$+?/! *@! )#$! /-.>,$!
A&+&?$)$+!!;!>-'-.>!)#$!+$/B,)!
!
! !" ! !!
!! #$% & "
#+ " '() " ! *
# " '() " " *$
#
$
"
# #!*&$" '() " ! !
$!*
#
#
$
$
+ " '() "
!*
!! #$% & " #
!
*& " '() "
#* " " '() " $ #
!*
:*+!*B+!%$,,;!%$!>$)!
! " !" ! ! # " ! ! "!!#!!$%!$# !
!
>-'-.>!!
! ! !" " ! # " ! ! !#$%!!$# !
!
"#$!#*AA-.>!?&)+-C!$,$?$.)/!&+$!
%
!
! ! ! ! " " ! & # !# " " #!! " " " #!#" " " # #"
$%
!
$%
%
' &$%$& $ " $!! #!# !# " " ##" " " # #" $ ' &$%$& $ " $!! #!# !# " " ##" " " # #"
$%$& $
$!$"
$%$& $
!
$!"
D*)#! %&'$! @B.()-*./! &+$! E$(&=-.>! $CA*.$.)-&,/! $C($A)! -.! )#$! %$,,! &)! ! ! !3! ! F/-.>! )#$!
%&'$!@B.()-*./!>-'$.!&G*'$;!%$!>$)!
!"##"#$%
%
#&'#&%
!"#$%&$'()*+,(-.$
%
! ! ! ! " " ! & # !# " " #!! " " " #!#" " " # #"
$%
!
!
$%
$!$"
%
" $!! #!# " " ##" " " # #" $ ' &$%$& $ " $!! #!# !# " " ##" " " # #" !
$%$& $
'&
$%$& $
#
!
$%$& $
$!"
$%$& $
2 '&
6
$
(
%&'
)
&
$
!('" ('" "$% # #" 4
"
#
'
4
&
$%$& $
$!$"
4
4
"
4 %$& $ $ '"
4
! $!!
3$ &%$& $ !( %&' ./ ) " " $ % # 01 #"
7
( & "+ 4
4
%
*) $ $ ' -, 4
$%$& $
4
'&
$
$ '" $ '" "$% #
#" 4
4$( %&' " ) & $ # ' &$%$& $ !( (
$!$
5
8
$%
"#$!%&'!()*(!*)(%!+$!$,)-./!('!&$!0$%!
! ! "!!
"
# " "&
%$ # " # ('
!
(&"" #
"/
1 #"
5
) $##' ,
#
" #&
3#$ $%& # % " # $ $ 0 +
3
.
(!"" * ## - (&"" #
33
33
2
&"" # 6
3 ) " #' % &'( )* % # ' " & $ ,- " # $%& )* % # ' " & $ ,- ,
3
.
#
#
3" + $
3
# "%
- &"" # 37
34 *
!
#
" #&
##"
5
1 $%& # % " # $ $
$ " " "/ ##(&
$
3
3
0
#
3
3
(!""
6
2
" #&
3" ##$ ) % $%&) # #" & &'( # %" & " &'() # #" & $%& # %" & , 3
%$ (' %$ ('
%$ ('
%$ (' . 3
3 # # " % # +* #
#
#
# -7
#
4
#
! "!!
"
# " "&
%$ # " # ('
$
1(230!%#$!&-4$!4$5%'6!6$.-%2'3(!024$(!
#
) ) "* " #$% " + " #$% "
&'(
"!#
#
"
"
#"")$" #$% "
$
"
+
+
! ! "!!
$!"
.
*
#" " " #$% " $ + ", " #$% " )
)
(-% " &'( " %& &'(. # " #$% " $ " (-%. # " #$% " $ '( +/ !
,")#
#
!
&'( ) "!#"* " #$% "
! "!!
#" " " #$% " $
#
#
$
$
$
-+
)+ # + " #$% " " "
" )#) " #$% " (-% ) " .
* ! ") " #$% "
""
/+
,+ #
7'6!')6!&$../!&$!0$%!
!
! ! ! ! " " ! #!!#!$"!"! !
!
!
!
!
!
!
!
!"##"#$%
%
#&'#!%
!"#$%&$'()*+,(-.$
!"#$%%&'(%)*+,-./0(,,(1%2+3(4%4(536%7+%7'(%(8957-+,6%
#
!
% !"#$
% !
#
%
%
%$ #!!"#$
%
!!
!"%& "" ! &!$ "
!! !
!"
!
!"#$
!#
!!
!"%& !"" ! &!$ "
!! !
"
!" !!"%& !"" ! &!$ " " !!"%& !!"" ! &!$ "
!#!"#$
&#
(%
(%
(%
(%
(' $
'
(
)
*
&
(
( # "%
(
('
&#
(%
(%
(%
(%
(' $
'
(
)
*
&
(
( # "%
(
('
&+%6-2:4-;1%7'(%54.(<*5=%*(+*3(*%7'(%*+>6?%
#
!
%
!
%
% "!#!$
%
%$ !"!#!$
%
!!
!"
!
!!
!!
"
!"!#%& "#" ! &!$ " !"!#%& "!#" ! &!$ "
!" "!#%& "#" ! &!$ " " "!#%& "!#" ! &!$ "
"#!$
!!"#!$
&'(*(%5*(%,+,/7*-@-54%6+497-+,6%7+%7'-6%6(7%+;%(8957-+,6%+,41%-;%7'(%3(7(*2-,5,7%+;%7'(%A%B%A%
257*-B%-6%C(*+#%%&'(%D'5*5D7(*-67-D%(8957-+,%-6%
!
!! ! !!" "
" !
" ! " !" "
" !
"
" ! " ! !" "
!! !!" "!# ! $% # " " "!#$% "#!& "!#" ! %!& " ! !"!#$% "#!& "!#" ! %!& " # " !" "!#$% "#!& "#" ! %!& " ! !"!#$% "#!& "#" ! %!& "
!
#! ! !" "
!# ! $%
!#$% !#!& !#" ! %!& "
"
"
# !"!#$% "!#!& "!#" ! %!&
" !
"
" # ! ! !" "
!#$% !#!& #" ! %!& "
"
"
# !"!#$% "!#!& "#" ! %!& "
"
"
" ! " ! !!! " $ "
!! " "!#$% "#!& "!#" ! %!& " ! !"!#$% "#!& "!#" ! %!& " ! ! " "!#$% "!#!& "!#" ! %!& " # !"!#$% "!#!& "!#" ! %!& " ! " ! !!! "
!#$% #!& #" ! %!& "
" "
! !"!#$% "#!& "#" ! %!&
!#$% !#!& #" ! %!& "
"
"
# !"!#$% "!#!& "#" ! %!&
%
E+,@(*7%7'(%!"%7(*26%7+%7*-.%;9,D7-+,6?%
!! !""# " $% ! !! !
%
!"
"#$%
#%"#! " ""#! " %"& # #$% !& " "#! " "#! " %"& # #$% !& ! "#! " ""#! " %"& # #$% !& " "#! " "#! " %"& # #$% !& '%
%
$
(
$
(
"#! " %"& #
&'# !& " !!! "#! " %"& # &'# !&
&%"!!! "
)%
&'(,%D+,@(*7%7'(%! %7(*26%7+%7*-.%;9,D7-+,6?%
"
!!"#$ !" %!!"#$ ! !" %!"#$
%
!!
!"#$
#
%
#% !" " #$% %& #$% "" " $ ! & ## ! !% " #$% %& #$% "" " $ ! & ## '%
$
($)
&%!&%" '(# %& '(# "" " $ ! & ##
)%
F-,5441=%D+,@(*7%7'(%#$%7(*2%7+%7*-.%;9,D7-+,6%5,3%3-@-3(%+97%7'(% !!"#$ %7(*2%7+%.(7%
%
"
#
!! ! "#$ "# ! % ! & ! ! & $'( !$ $'( "! " # " $ ## " !!! "#$ !$ "#$ "! " # " $ ## $ ) %
%
%
%
!"##"#$%
%
"
#&'#(%
"
!"#$%&$'()*+,(-.$
!"#$%&'(#)'&*+$)#,-.&*+$&'$."/'$
!!
!"# !" !"# !! ! # " " "" "
$
$
# !$
$!!
" #%& !" #%& !! ! # " " "" $ !"# $# $
01$$23$ ! $&'$&4-5&+-)67$."#+$8#$"-9#$."#$#:/-.&*+'$
#
!
%
!
%
% #!"!$
%
%$ !#!"!$
$
!
!!
!!
!" "
!!
""
#"!$
!!#"!$
!#!"%& #! " ! &!$ "
!" " #!"%& #! " ! &!$ "
!#!"%& # " ! &!$ "
" " #!"%& # " ! &!$ "
&
#
(
(%
(%
( %%
(' $
'
(
)
*
&
(
( # "$
(
('
!"#$;"-)-;.#)&'.&;$#:/-.&*+$&'$
!
!
"
!! !!" " #!" ! $% # " " " " #!"$% #"!& # " ! %!& " ! !#!"$% #"!& # " ! %!& "
!
#" " !" " #!"$% #"!& #! " ! %!& " ! !#!"$% #"!& #! " ! %!& "
!
!
"
"
"
!! !!" " #!" ! $% ! " " " " #!"$% #!"!& # " ! %!& " # !#!"$% #!"!& # " ! %!& "
$
!
!" " !" " #!"$% #!"!& #! " ! %!& " # !#!"$% #!"!& #! " ! %!& "
!
!! " " #
!"$% "!& " ! %!& "
# #
! !#
!"$% "!& " ! %!& "
# #
!" " ! !!! "
!
"
" ! ! !" " #
"
!"$% !"!& " ! %!& "
#
#
# !#
!"$% !"!& " ! %!& "
#
#
$
"
" !
#! !" " #!"$% #"!& #! " ! %!& " ! !#!"$% #"!& #! " ! %!& " # ! !" " #!"$% #!"!& #! " ! %!& " # !#!"$% #!"!& #! " ! %!& "
!" " ! !!! " $ "
"
<*+9#).$."#$!"$.#)4'$.*$.)&5$3/+;.&*+'=$
!! ! "#"! " $% ! !! ! "
#""! ! " # ! " %"& # #$% "& ! "! ! " #" ! " %"& # #$% "& '
%%
%%
$
!#"!$% $!"!" " # ! " %"& # #$% "& " "!" " #" ! " %"& # #$% "&
($(
%
%
! " %"& #
&'# "& " !"! ! #" ! " %"& # &'# "& %
%&"!"! ! #
)
$
!"#+$;*+9#).$."#$! $.#)4'$.*$"6(#)0*,&;$.)&5$3/+;.&*+'=$
"
!"!!#$ ! " %"!!#$ ! ! " %"!#$
$
!!"
!!#$
#
#%!! " " #$% %& #$% " " " $ ! & ## ! !% " #$% %& #$% " " " $ ! & ## '%
$
$
)
(
$
%)
%&!&% " '(# %& '(# " " " $ ! & ##
>&+-,,67$;*+9#).$."#$#$$.#)4$.*$.)&5$3/+;.&*+'$-+%$%&9&%#$*/.$."#$ !"!!#$ $.#)4$.*$5#.$
$
"
#
! ! ! "#$ "# ! % " ! ! ! & $'( !$ $'( " ! " # " $ ## " !! ! "#$ !$ "#$ " ! " # " $ ## $ ) $
!"##"#$%
&
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#$%&'(#)'&*+$)#,-.&*+$&'$."/'$
$
!!
!"# !" !"# ! ! ! # " " "" "
$
"!
$
$! !
" #%& !" #%& ! ! ! # " " "" # !"# $# $
$
01203$ $ 4-5$ !"#)#6'$ -$ 7**%$ 8*9(&,-.&*+$ *:$ ;<$ -+%$ ;;;=<$ '#9&8*+%/8.*)$ ()*(#).&#'$ -.$
"..(>??@@@2&*::#2)/?A<B?CAD?A#9&8*+%?&+%#E2".9,2$ $ F&8./)#'$ "#)#$ -)#$ .-G#+$ :)*9$ ."-.$
'&.#2$
!"#$ 7)*/($ ;<$ #,#9#+.'$ HI$ A&I$ J#I$ -,("-=A+$ -,,$ 8)K'.-,,&L#$ &+.*$ ."#$ '-9#$ %&-9*+%$
'.)/8./)#2$$!"#$M-+%$'.)/8./)#'$*:$."#$:*/)$:*)9'$-)#$-,,$."#)#:*)#$N#)K$'&9&,-)2$$B,,$:*/)$
"-N#$-$O7-(O$&+$."#$%#+'&.K$*:$'.-.#'$-M*N#$."#$"&7"#'.$*88/(&#%$'.-.#$-.$!$P$32$$!"#$M-+%$
7-($&'$1$#<$&+$HI$@"&8"$&'$-+$&+'/,-.*)I$:-,,&+7$.*$020$#<$&+$A&$.*$32Q$#<$&+$J#I$-+%$.*$
#::#8.&N#,K$3$#<$&+$A+I$'*$A+$8*/,%$M#$8-,,#%$-$@#-G$9#.-,I$*)$'#9&9#.-,2$$
!"#$.)/#$'#9&8*+%/8.*)'$"-N#$&+%&)#8.$M-+%$7-('I$@"&8"$9#-+'$."-.$."#$HR$9&+&9/9$-+%$
."#$<R$9-E&9/9$-)#$+*.$-.$."#$'-9#$N-,/#$*:$"2$$!"#$<R$9-E&9/9$&'$-.$ ! $:*)$-,,I$M/.$
."#$ HR$ 9&+&9/9$ &'$ %&::#)#+.2$ $ A##$ M#,*@$ :*)$ ! ! " " $ :*)$ H$ 4.*($ ,#:.5I$ A&$ 4.*($ )&7".5I$ J#$
4M*..*9$,#:.52$
$
!
4M5$ S*@#)=,K&+7$ M-+%'$-)#$ -$)#'/,.$ *:$*N#),-($*:$,*@=,K&+7$4O8*)#O5$'.-.#'2$$!"#$*N#),-($
M#.@##+$'/8"$'.-.#'$&'$9/8"$@#-G#)$."-+$."#$*N#),-($M#.@##+$"&7"#)=#+#)7KI$*)$N-,#+8#I$
'.-.#'2$$S*@#)$M-+%'$-)#$."#)#:*)#$+-))*@#)$."-+$"&7"#)$M-+%'I$-+%I$@&."$'&9&,-)$@&%."'$*:$
."#$R)&,,&*/&+$L*+#'I$"-N#$,#''$8/)N-./)#2$
$
!"##"#$%
%
#&'#(%
!"#$%&$'()*+,(-.$
!"#!!$ $ %&$ '()*+$ ,)$ +-.,*+$ /010$ *01,20*$ 034.5+,20.6$ &1-7$ 890$ -201.(:$ -&$ .,;0$ (8-7,4$
-1',8(.+<$890$9,=90+8$-445:,0*$'()*$,)$+-.,*$>=$/-5.*$'0$($?!$'()*$/,89$4(:(4,86$&-1$@"$
0.0481-)+<$()*$,8$/-5.*$'0$&5..$'04(5+0$89010$(10$8/-$0.0481-)+$,)$890$?!$(8-7,4$-1',8(.$-&$
>=#$ $ A90$ )038$ '()*<$ 4(:(4,86$ B"<$ '58$ 07:86<$ /-5.*$ '0$ ($ ?#$ '()*#$ $ >=$ /-5.*$ '0$
4.(++,&,0*$($+07,4-)*548-1$-1$,)+5.(8-1#$$C,89,)$890$DEFG$7-*0.<$/0$104-=),H0$89(8$+549$
I?!I$()*$I?#I$'()*+$/-5.*$'0$+5&&,4,0)8.6$'1-(*$(+$8-$-201.(:<$-1$89(8$890$!$()*$#$(8-7,4$
-1',8(.+$4-)81,'580$8-$890$+(70$'()*$/,89$4(:(4,86$J"#$$K549$($'()*$/-5.*$'0$!$&5..<$()*$
>=$,+$708(..,4$,)$89,+$+40)(1,-#$
$
!"#!@$ $ (L$ M,+,'.0$ :9-8-)+$ 9(20$ /(20.0)=89+$ ,)$ 890$ 1()=0$ NOO$ P$ QOO$ )7#$ $ R+,)=$ 890$
10.(8,-)$
!!
$
"# !"#$!$% !&'
!
$
!
!
6,0.*+$ ()$ 0)01=6$ 1()=0$ &-1$ 2,+,'.0$ :9-8-)+$ -&$ ?#!$ 0M$ P$ !#Q$ 0M#$ $ A90$ '()*$ =(:+$ -&$
,7:-18()8$+07,4-)*548-1+$(10$K,S$!#!$0M<$T0S$O#Q$0M<$T(F+S$!#N$0M#$$M,+,'.0$:9-8-)+$895+$
9(20$+5&&,4,0)8$0)01=6$8-$034,80$0.0481-)+$('-20$890$'()*$=(:+$-&$(..$890+0$7(801,(.+#$
'L$ A90$ 7-70)857$ -&$ ($ :9-8-)$ ,+$ ! ! " ! #$ $ F)$ ,)*,1048$ 81()+,8,-)$ 9(+$ ($ /(20$ 2048-1$
49()=0$ -&$ -1*01$ !! ! " " <$ (+$ +9-/)$ ,)$ U,=#$ !"#@!#$ $ A90$ 7-70)857$ 49()=0$ ,+$ 895+$
!!! ! !!" ! " ! # #$ $ E-7:(1,)=$ 890$ :9-8-)$ 7-70)857$ /,89$ 890$ 10V5,10*$ 0.0481-)$
7-70)857$49()=0<$/0$=08$
!
" " !#
!
!
$
#
!
#
"
!!
!
$
A90$ 86:,4(.$ .(88,40$ :(1(70801$ %$ ,+$ O#?WO#"$ )7<$ /9,49$ ,+$ 7549$ +7(..01$ 89()$ 890$ 86:,4(.$
2,+,'.0$:9-8-)$/(20.0)=89#$$K-$890$+7(..$7-70)857$-&$($:9-8-)$,+$,)+5&&,4,0)8$8-$49()=0$
890$0.0481-)$&$2(.50$+,=),&,4()8.6#$
4L$ $ A90$ :9-)-)$ 7-70)857$ ,+$ ! ! " ! $ ()*$ +,)40$ !! ! ! <$ 890$ :9-)-)$ 9(+$ +5&&,4,0)8$
7-70)857$&-1$()$,)*,1048$81()+,8,-)#$$X-/0201<$890$:9-)-)$0)01=6$,+$
$
"
#
! ! "! ! !"#$% " #& ##% #$% #&#$ &' ! !"#$% " #& #' #$ $
/9,49$,+$7549$.0++$89()$890$10V5,10*$0.0481-)W2-.8W+4(.0$0)01=6#$
$
$
!"##"#$%
%
#&'$(%
!"#$%&$'()*+,(-.$
!"#!$$%&'$()*+'$),$-$.-/,'01+$213)4'$)($),'$5)&*$.-/,'0),$16$
"#
"&
"
!!!
! ! " ! !"" # ! %&
$
"$
"$
"$
!
$
%&'$ ()*+'$ 2'(4'+06$0&'$-0).$0*-,67'*6'$0)$106$ .)01),8$6)$ 0&'$2'(4'+01),$-,/4'$ )($ -,$ -0).$
0*-7'41,/$-$2160-,+'$!$0&*)9/&$0&'$(1'42$/*-21',0$16$
!!
$
"! ""# " " & % # '( & )(
!
!
!
$
$%
$% ! )*
!
$%
:$0&'*.-4$-0).$&-6$ !" ! ! !#$% 8$6)$0&'$2'(4'+01),$-,/4'$16$
$
"
#
""#$ ()' * # $#"$ " "% #"& +,!" # &"
!!
!#
"%% * /0
!$"% &'
! '#(! " "% #& +, . )%%.
$
"
#
! # """#! !12& /0 #
$
!"#;$$%&'$<-*.)*$3*'+'661),$(*'=9',+>$1,$-$(1'42$ !! $16$$
!! !
$
!"!
$
#!
:0$ -$ 2160-,+'$ )($!$+.$1,$ -$ !??$ @A+.$0*-38$ 0&'$(1'42$16$!??@$-,2$ 0&'$ <-*.)*$ 3*'+'661),$
(*'=9',+>$16$B96'$!!" ! #! !$# ! % ""#$ &'( ) # C$
"& "#$% '() % #
"$
!"
! ! ! ! ! "! " ! #!!%
! #$&' # #! ( *+, - $
#!
!
& ""
!
D'E0),F6$ ;,2$ 4-E$ ()*$ -,$ -0).$ .)71,/$ 1,$ -$ +1*+4'$ )($ *-2196$ "$ 1,$ -$ .-/,'01+$ 0*-3$ E10&$
/*-21',0$ !" !# $16$
$
! ! "#
$
$%
$
&%
(!
!"
! "! !)
)
&'
/171,/$-$(*'=9',+>$)($
G96'$ !" ! #! !$# ! ""#$ %&' ( # $#"$ ! "% ""& #)* ! &#'( ! "% "( #) ( H$
!
!" %"
!" ' ! %"
!!
!
#$ %&
#' ! $ %&
$
$
!
"#$% " &' #% () * ( " &'&' '+ ,
!
&'' * '+ ! )& $-% ,
" )" " %(&!#() #&'+
"
"
#
#"
#
I)*$0&'$.-/,'01+$ .).',0$0)$-21-J-01+-44>$()44)E$0&'$+&-,/1,/$.-/,'01+$(1'42$ 21*'+01),8$
E'$ *'=91*'$ 0&-0$ 0&'$ <-*.)*$ 3*'+'661),$ (*'=9',+>$ J'$.9+&$ 4-*/'*$ 0&-,$ 0&'$ (*'=9',+>$ )($
.)01),$ 1,$ 0&'$ 0*-38$ E&1+&$ 16$ +4'-*4>$ 0&'$ +-6'$ ()*$ 0&16$ 3)6101),#$ $ %)$ (1,2$ 0&'$ 61K'$ )($ 0&'$
!"##"#$%
%
#!&#%
!"#$%&$'()*+,(-.$
!"#$%!&'(&)"%&)*+,&-"%*%&)"%&.+*/#*&,*%0%11'#(&2*%34%(05&'1&1/+$$%*&)"+(&)"%&2*%34%(05&#2&
/#)'#(&'(&)"%&)*+,6&%34+)%&)"%&)-#&2*%34%(0'%1&+(7&1#$8%&2#*&)"%&*+7'419&
! ! ! ! !!!"!!!
&
!"!
!
#!
$" '"
&
%& '(
:%))'(;& !! ! " " #! #$ # 6&-%&;%)&
<41%& !" ! #! !$# ! ""#$ %&' ( # $#"$ ! "% ""& #)* ! &#'( ! "% "( #) ( =&
!
!
! !" $% $
'% $%
#" # $& &% ! (" $&
!
"
!
! # $ ' ! $% $
" !# !& % # &
" ! % ( " $& %
'#
"
&
#
!
! !) $ '% ! $% $
!#
# &
" ! '% &% () ! " $& %
'#
!
" *) #!
! $% $
&
!
! #
#$( '% () " $& %
'#
&
!
*
#!%& !+,# #
"
"!,
/
!
'*
')
,+ #$( '()* ) #& !+ - " +' ) *"#!(!+ # "#&& - )# # #& )# ,# /.
! &(#"'#
#"
"
!
#
"
#
&
>?@A&&B"%&+00%$%*+)'#(&#2&+&$+1%*&1$#-%7&*4C'7'4/&+)#/&'1&
!!"# !
&
!
"!"#
!$
%
" %& # &
!
!
!
#
$# ! $# "! $#& $ "!
"%$&' '()* # ( # %' ) * +
"
#
"
&
$ " )* # +(%!#'( # " ,)' )* # $, # %' $+ +
!
B"%&7'1)+(0%&)#&1)#,&)"%&+)#/&2*#/&D'(%/+)'01&'1&
#
! %-%$ # %' * +
*
$
!"!
! ! ! ! !"#!!!"!!!!# !
&
!"
!
&
!
"
E& )"%*/+$& +)#/& "+1& !" ! ! !#$% 6& 1#& )"%& 1)#,,'(;& 7'1)+(0%& 2#*& +& *4C'7'4/& +)#/&
< ! ! !""#$ 6& ! ! !"#!" 6& ! ! !"!" =&'1&
!!
&
!
"!" "$%& "' !" "$%& !"
!
!
"# "'
(
(
$'
" #$%" # &! )* + " (!!+ # )#! # &! $* , ") # &! $* -
"
#
"
" +$&+ # &!
$&'
)*-
#
#"
# ! !$"%, &
B"%&1)#,,'(;&7'1)+(0%&2#*&+&1#7'4/&+)#/&< ! ! !""#$ 6& ! ! !"#!" 6& ! ! !"!" =&'1&
&
!!
"
#
"
#"
! "#$! ! %& "' "# $ " (&&$ # '") ! %& ") % %$ ! %& ") &
" *#%* ! %&
"%'
"#&
#
# ! &#%!% &
&
!"##"#$%
%
#!&$%
!"#$%&$'()*+,(-.$
!"#$%%&'(%)(*(+,-%(./+(0012*%32+%4'(%05,44(+1*)%32+5(%10%
!"#$%% ! !&
%
'!" (
! (#
!
! '!" $
#"
&
! %
!
!
'
($
#' )$"*+ ( ' !" " &, $ " !#" !!" $&% # " " ( &
"
#%
!
%
!
&'(%6,+1,7-(0%,+(%4'(%-,0(+%1*4(*0148%!9%4'(%-,0(+%3+(:;(*58% ! !"#$% 9%,*<%4'(%,42=15%6(-25148%
! #%%>0%,%3;*5412*%23%4'(%-,0(+%1*4(*01489%4'(%32+5(%10%=,.1=,-%?'(*%4'(%1*4(*0148%10%-,+)(%
(*2;)'%4',4% !! ! ! ! #%%&'(%32+5(%10%=,.1=,-%?'(*%4'(%<(4;*1*)%4(+=% "! !"#$% " ! !" ! &' # %10%
@(+29%?'15'%+(:;1+(0%4',4%4'(%-,0(+%7(%+(02*,*4%?14'%4'(%A2//-(+%0'134(<%,42=0B%
! !"#$% ! ! !" " &' %
%
C*<(+%4'(0(%52*<1412*09%4'(%=,.1=,-%32+5(%10%
%
!"#$%% ! !&
'!" (
! (#
! '!" $
#"
&
! %
" # #! $ !#"
!
'!" $ !
($
&% # " $ &
! "
(# %
!
! !&
(
(#
'!"
! !
($
#" " $ ( &%
#
$%&
!(
(#
'(
!&
'!" !&
!
%
!
!)
!
1*% ,)+((=(*4% ?14'% D:#% E!"#FG#% % &'(% /-24% 7(-2?% 0'2?0% 4'(% 1*4(*0148% <(/(*<(*5(% 23% 4'(%
+(02*,*4%32+5(B%
FHIL
Fmax
Fmax ê2
I
I0
%
%
H2+%0=,--%1*4(*0141(09%4'(%32+5(%)+2?0%-1*(,+-8%?14'%4'(%1*4(*01489%7;4%32+%1*4(*0141(0%=;5'%
-,+)(+% 4',*% 4'(% 1*4(*0148% ! ! 9% 4'(% 32+5(% 0,4;+,4(0% 42% 140% =,.1=;=% 6,-;(#% % I(*5(9% 4'(%
1*4(*0148% ! ! %10%5,--(<%4'(%0,4;+,412*%1*4(*0148#%
%
!"#J% % &'(% A2//-(+K0'134(<% ,*);-,+% 3+(:;(*58% 23% ,% -,0(+% 7(,=% ?14'% ?,6(% 6(542+% ! % ,0%
270(+6(<%78%,*%,42=%?14'%6(-25148% ! %10%
!! !"#$ ! ! %&'() " !"" %
H2+%4'(%-,0(+%42%7(%+(02*,*4%?14'%=261*)%,42=09%4'(%-,0(+%<(4;*1*)%=;04%7(%
%
%
!"##"#$%
! !"#$% " ! &'() ! !""
!!# " *!"#$% " *!" # ! !""
%
%
#!&'%
!"#$%&$'()*+,(-.$
!"#$%$&%'(#$)(%*$+"&&,-(%#$.,/0$/0($%/"*'1$.($2(/$
!"#$%& ! !!" !
$
"
" !"
(
'( !
(! $
#
!"
!" #
304'1$54),6,4*$%/"*'$7 ! ! !"#!" 8$*"9,-2$%/$:;<$*='$%#($#('"-%-/$>"#$%$6(/4-,-2$
!"#$%& ! !!" !
$
'
#$% ( $
!
! ))(!)*+ $
" &'% # "% !( (
$
?@A@$$B-$C#")&(*$?@A;1$.($>"4-6$/0%/$/0($>#(D4(-+E$">$%$&%'(#$#('"-%-/$.,/0$*"9,-2$%/"*'$
,'$$
!"#$%& ! !!" !
$
'
$
"
30($+0,#F$#%/($,'$/0($#%/($">$>#(D4(-+E$+0%-2($
!
! ) ! !) %
#$%&'( !
!
! $
!"
!" ! ! !" !
$
30($ +0,#F$ #%/($ ,'$ &,*,/(6$ )E$ /0($ %++(&(#%/,"-$ F#"9,6(6$ )E$ /0($ '+%//(#,-2$ >"#+($ G'(($
HDA$7?@AI8JA$$K(-+($/0($*%L,*4*$F"'',)&($+0,#F$#%/($,'$
%)%*
+
" +- # - $
$
!!
!
!
#" #$%&'( &% !
$
'
$, ' ( $,- $ ' $(
!"
!"#
$
!"#$#4),6,4*$%/"*'1$/0,'$*%L,*4*$#%/($,'$
$
"
"
#
"$%&' ')*+ # ( ' $' ) + &
$
!!
#
!
#"
$%&'( &
% !"# % " )* ' +($!,') # " ,)' *+ # ,)' ' $' (+ + %, ' $' (+ & $
!"
#"
#
$$ (%
! $-&( ' $' & ! $&(!,-. +&
30($ M"FF&(#$ .,6/0$ ">$/0($ N%L.(&&,%-$ 9(&"+,/E$6,'/#,)4/,"-$,'$">$"#6(#$ @<<$NKO1$ '"$/0($
/,*($/"$+""&$/0($)(%*$">$%/"*'$,'$%)"4/$P$*'A$
$
$
?@AQ$$30($'+%//(#,-2$>"#+($>#"*$"-($)(%*$,'$
$
!!"#$$ ! " " # !#
!
%!" &
! &#
! %!" $
#"
&
! %
!
%
!' '#!() ( ' !" ( #"" " $ !#" !!" $&%
!
$
!
$
$
$
$
!"##"#$%
%
#!&'%
!"#$%&$'()*+,(-.$
!"#$%&"$'"()%*#+#"+,-,%.)-$/*,012$%3*$%"%,4$5"#'*$.1$ !! !"! " " # ! !! !"! " " # 6$
!" ! # " # !$ $! ! # " $ !! $! ! # "
$
"
"
,
)
" %"# %
" %"# %
.$
+
$
'
$
'
# " &
# " &
% &
.
# "# + !$
$
!
!$
!
"
"
"
" &$ +
"
"
" %"# %
" %"# % .
!( '()*+ ! ( "# $ $# " $ $# " '& .
'
+ !( '()*+ ! ( "# ! $# " $ $#
" &
*
!
711(0*$%3,%$%3*$4,1*#$8*%().)-$ ! !"#$% " ! !" # "&!" $,)8$5,'%"#$
$
!
!
+
(
! %!" $
! %!" $
*
#
&
#
&
" ! %
" ! %
% &
!" ! # " # !$ !" *
'
!
!
! &# *
!
!
! %!" $
!% $ '%!" $ $# " $ # !" & - $
!
&%
* ! '%!" ' $# " $ #"
" ! % ,
!
)
# !$
+
%!" & (
"
"
*
! '
! ! & # *) " $ $ !" $ $# %!" " " $ $ !" $ $# %!" " -,
!
711(0*$%3,%$%3*$9*4"'.%:$.1$0('3$4*11$%3,)$ !!" " $%"$.1"4,%*$ %3*$4.)*,#$#*-.")$ )*,#$;*#"$
9*4"'.%:$&3*#*$%3*$5"#'*$.1$4.)*,#$.)$%3*$9*4"'.%:$< ! ! !" " =6$
!" ! # " ! !$
! !$
$
&
"
%!" & #
"
"
%
(
! & # $ " # $ !" # ! $# %!" " " # $ !" " ! $# %!" " '
&
"
%!" & #
"
"
%
! & # $ % # & $# %!" % " & $# %!" ('
&
%!" & #
"
"
"
%
"# & # $ " # & $# %%!" " " & $# %%!" ('
% &
! !$ !" #$" " & $# %%!" " !" # & $# %%!" " &'
"# & #
! !$
$
)
& &,
#
! " + !$ !
!% & # .*
!
>3(1$ %3*$ 5"#'*$ ,%$ 4"&$ 9*4"'.%:$ .1$ 4.)*,#$ .)$ %3*$ 9*4"'.%:$ < ! ! !" " =2$ &.%3$ ,$ 5#.'%.")$
'"*55.'.*)%$ ! $-.9*)$/:$
$
" "
! ! !! !
$
!#
"
$
!
$
$
$
$
!"##"#$%
%
#!&'%
!"#$%&$'()*+,(-.$
!"#$%%&'(%)%*+*,-.%/0,1%2%3450,*6%7)5-7-8%!6%"6%)98%#6%,1-%5)*0*%*,),-*%':%,10*%*+*,-.%)(-%
,1-%49;'4<7-8%5)*0*%*,),-*%
%
!!! ! !
!
!
"
!
#
!!!! "!! ! "
!
!
"
!
!!" ! !
!
!
"
"#
!!! "!" ! "
!
!
"
"#
!"! ! !
!
"
"
!
#
!!! ""! ! "
!
"
"
!
!"" ! !
!
"
"
"#
!!! """ ! "
!
"
"
"#
#
%
#
=9%,10*%2>3450,%*+*,-.6%)%?-9-()7%*4<-(<'*0,0'9%*,),-6%/10;1%09;748-*%-9,)9?7-8%*,),-*6%0*%
! ! !!!! !!! " !!!" !!" " !!"! !"! " !!"" !"" "
%
!!!!!!!!!!!!!!!!!!!!!!!!!"!"!! "!! " !"!" "!" " !""! ""! " !""" """
%
@10*%*09?7-%2>3450,%*,),-%;'9,)09*% ! " ! # %<0-;-*%':%09:'(.),0'9A,1-% !"#$ %;'-::0;0-9,*#%%B9%
-C).<7-%':%)%2>3450,%<('84;,%*,),-6%/10;1%0*%9',%-9,)9?7-86%0*%
! ! # !! !
%
"
" !" "
"
$##
!
!
$
" #" "
$
$# %
!
!
&
$
" %" " & %
@10*% 2>3450,% *,),-% ;'9,)09*% ! ! " ! # % <0-;-*% ':% 09:'(.),0'9A,1-% !" 6% !" 6% )98% $0%
;'-::0;0-9,*#%
&'(%)%*+*,-.%/0,1%D%3450,*6%7)5-7-8%!6%"6%#6%)98%%6%,1-%5)*0*%*,),-*%':%,10*%*+*,-.%)(-%,1-%
49;'4<7-8%5)*0*%*,),-*%
%
!!!! ! !
!
!
"
!
#
!
$
!""! ! !
!
"
"
"# !
$
""!! ! "
!
"
"
!
#
!
$
!!!" ! !
!
!
"
!
#
"
$
!""" ! !
!
"
"
"# "
$
""!" ! "
!
"
"
!
#
"
$
!!"! ! !
!
!
"
"# !
$
"!!! ! "
!
!
"
!
#
!
$
"""! ! "
!
"
"
"# !
$
!!"" ! !
!
!
"
"# "
$
"!!" ! "
!
!
"
!
#
"
$
"""" ! "
!
"
"
"# "
$
!"!! ! !
!
"
"
!
#
!
$
"!"! ! "
!
!
"
"# !
$
!"!" ! !
!
"
"
!
#
"
$
"!"" ! "
!
!
"
"# "
$
%
=9%,10*%D>3450,%*+*,-.6%)%?-9-()7%*4<-(<'*0,0'9%*,),-6%/10;1%09;748-*%-9,)9?7-8%*,),-*6%0*%
! ! !!!!! !!!! " !!!!" !!!" " !!!"! !!"! " !!!"" !!"" " !!"!! !"!! " !!"!" !"!" "
%
"!!""! !""! " !!""" !""" " !"!!! "!!! " !"!!" "!!" " !"!"! "!"!
%
"!"!"" "!"" " !""!! ""!! " !""!" ""!" " !"""! """! " !"""" """"
@10*% *09?7-% D>3450,% *,),-%;'9,)09*% ! " ! #$ % <0-;-*% ':% 09:'(.),0'9A,1-% !"#$% % ;'-::0;0-9,*#%%
B9%-C).<7-%':%)%D>3450,%<('84;,%*,),-6%/10;1%0*%9',%-9,)9?7-86%0*%
%
! ! # !! !
"
" !" "
"
$##
!
!
$
" #" "
$
$# %
!
!
&
$#
" %" " & '! !
(
" '" "
(
$%
@10*% D>3450,% *,),-% ;'9,)09*% ! ! " ! # % <0-;-*% ':% 09:'(.),0'9A,1-% !" 6% !" 6% $06% )98% &0%
;'-::0;0-9,*#%
!"##"#$%
%
#!&!%
!"#$%&$'()*+,(-.$
!
"#$%!!&'(!)!"*+,-./!0)/12!/31!4'56,/)/.'7)8!-)9.9!.9!
!
! " $
! ! $
! !#
!!!!!!!!!!!!!!!!!!!!!!
"
!
#" " &% !
! &%
"
!
:31!!"#!0)/1!.9!(16(1917/1;!-<!
! ! " $
!
! "#$ ! #
" ! &%
"
!
:31!)4/.'7!'=!/31!!"#!0)/1!'7!/31!4'56,/)/.'7)8!-)9.9!.9!
!
! !"# ! $ %&' ! ()
!
! !"#
! !"#
!
!
" ! " %" " % " ! %
!
!$
!
# " ! '& $# ! '& $# " '&
" ! " %" ! % " " %
!
$# " ! '& $# " '& ! $# ! '&
"
:31(1='(1!
! "#$ ! ! "
!
! "#$ " ! !
!
)7;!)!+,)7/,5!!"#$0)/1!43)7019! ! ! " !)7;!)89'! ! ! " !)9!);>1(/.91;$!
&'(!)!0171()8!)!9,61(6'9./.'7!9/)/1! ! ! ! " " 2!/31!/()79='(51;!9/)/1!
!
" ! " %" * % " + %
! !"# ! $ %&' ! () ! $
!
!
" ! '& $# + '& $# * '&
#
!
3)9!)!7'(5!
!
! !"# ! !"# !
"$
!
%!
# "$#
"
"
$ %
!$ $% !
'
% &
/3)/!.9!/31!9)51!)9!/31!7'(5!'=!/31!.76,/!9/)/1?!
!
! !" ! !" !
"
#! $!
# "$#
"
"
# %
! # $$ !
'
$ &
9'!/31!/()79='(5)/.'7!.9!,7./)(<$!
!
!
!
!
!
!"##"#$%
%
#!&'%
!"#$%&$'()*+,(-.$
!"#!$% % &'(% )*+% ,-./% )'% -(+0+,,% 12'3)% )*+% !415.,6% 7+% 1--89% 1% :1;/+).0% <.+8=% !! % ./% )*+%
!4=.(+0).'/#% % >*+% +/+(;9% ,)1)+,% ./% )*.,% 1--8.+=% <.+8=% 1(+% ! % 1/=% )*+% +/+(;.+,% 1(+%
!!! " !!! ! " 6%7*+(+% ! ! ! !"! # ! %.,%)*+%?1(:'(%-(+0+,,.'/%<(+@3+/09#%%>'%<./=%*'7%)*+%
,)1)+% A+0)'(% .,% 0*1/;+=% 29% )*+% 1--8.+=% :1;/+).0% <.+8=6% 7+% 3,+% )*+% B0*(C=./;+(% ).:+4
+A'83).'/%(+0.-+#%%>*+%./.).18%;+/+(18%,)1)+%.,%
! ! ! " # !$ $ !$!!" " %
%
>*.,%,)1)+%.,%18(+1=9%./%)*+%+/+(;9%21,.,6%,'%)'%<./=%)*+%).:+4+A'8A+=%,)1)+6%7+%./,+()%)*+%
).:+4=+-+/=+/)%-*1,+%<10)'(%<'(%+10*%+/+(;9%21,.,%,)1)+D%
! ! ! " # "$ #"$ %$ ! ! $ !$!"" #"$ %" ! ! " # "$ #"$# !! " $ !$!"" #$$# !! " " %
!
>'% *1A+% 1% !% (')1).'/%12'3)% )*+% !415.,% (+@3.(+,% )*1)% )*+% <.+8=% 2+% 1--8.+=% 8'/;% +/'3;*% )'%
*1A+% ! !! ! " #%%>*3,%)*+%,)1)+%A+0)'(%1<)+(%)*+%).:+%+A'83).'/%.,%
%
! ! ! " # "$ #"$# ! $ !$!"" #$$# ! " # "$ ! "$ $ !"!"" " " %
%
'(%./%:1)(.5%/')1).'/D%
# !!! &
# ! " & # !! &
%
( " "" %
%
(%
%$ !"! ('
$ " "! (' %$ !" ('
%
>*+%'A+(188%-*1,+% !!"" ! ! !" %='+,%/')%-('=30+%1/9%:+1,3(128+%+<<+0),6%,'%7+%.;/'(+%.)%./%
=+<././;%)*+%@31/)3:%;1)+%)(1/,<'(:1).'/%:1)(.5%
" ! " %
!" ! $
%
" !! '&
#
!
%
7*.0*%.,%)*+%E138.%:1)(.5% ! ! #%
%
!"#!!% % &'(% )*+% ,-./% )'% -(+0+,,% 12'3)% )*+% "415.,6% 7+% 1--89% 1% :1;/+).0% <.+8=% !! % ./% )*+%
"4=.(+0).'/#% % >*+% +/+(;9% ,)1)+,% ./% )*.,% 1--8.+=% <.+8=% 1(+% ! ! % 1/=% )*+% +/+(;.+,% 1(+%
!!! " !!! ! " 6%7*+(+% ! ! ! !"! # ! %.,%)*+%?1(:'(%-(+0+,,.'/%<(+@3+/09#%%>'%<./=%*'7%)*+%
,)1)+% A+0)'(% .,% 0*1/;+=% 29% )*+% 1--8.+=% :1;/+).0% <.+8=6% 7+% 3,+% )*+% B0*(C=./;+(% ).:+4
+A'83).'/%(+0.-+#%%>*+%./.).18%;+/+(18%,)1)+%.,%
! ! ! " # !$ $ !$!!" " %
%
F+%:3,)%7(.)+%)*.,%,)1)+%./%)*+%+/+(;9%21,.,6%7*.0*%.,%)*+% !" %21,.,%./%)*.,%01,+D%
!
"
! ! ! " # $ ! ! ! $ !$! " ! ! ! " ! ! ! "
%
# "$
#
!"##"#$%
"
#
!
!
$ $ $ ! !$! ! " $ "
!
"!$!" !
"
! "$ " #"" " $ ! !$! "# ! "$ $ #"" " " !
%
!
$ " $ ! !$! ! " " "
!
"%
#!&'%
!"#$%&$'()*+,(-.$
!"#$%&'#()*#(%+*,*-".-*'#/(0(*1#2*#%&/*3(#()*#(%+*,'*4*&'*&(#4)0/*#$05("3#$"3#*05)#*&*367#
80/%/#/(0(*9#
! !! " #
#
#
!
! "$ " #"" " $"# % ! !
!
! "$ " #"" " $"## ! "
"
!
"
$
#
! "$ $ #"" " $"# % ! ! " &
#
$ & !$! !" ! "$ $ #"" " $$## ! " " &
$ & !$!
!
"
"
#
!"# )0-*# 0# !# 3"(0(%"&# 08":(# ()*#!,0;%/# 3*<:%3*/# ()0(# ()*# $%*.'# 8*# 044.%*'# ."&6#*&":6)# ("#
)0-*# ! !! ! " =##!):/#()*#/(0(*#-*5("3#0$(*3#()*#(%+*#*-".:(%"&#%/#
! "$ " #"" " $"## " $ % !$! !" ! "$ $ #"" " $$## " " %
# "# !" ! "$ " #"" " !" ! ! $ !$#! " ! "!$!# !" ! "$ $ #"" " !" ! ! $ !"#! " ! " #
! !! " #
#
!
"
# "# ! "#"" $ $ #"$ "
"
"3#%&#+0(3%;#&"(0(%"&9#
# !!! &
# ! "" & # !! &
"
""
%
(
%$ " ! (' %% ! (( #
%$ !"! ('
$ " '
#
!)*#"-*30..#4)0/*# !!"" ! ! !" #'"*/#&"(#43"':5*#0&7#+*0/:308.*#*$$*5(/1#/"#2*#%6&"3*#%(#%&#
'*$%&%&6#()*#<:0&(:+#"#$#60(*#(30&/$"3+0(%"&#+0(3%;9#
" ! !# %
!" ! $
#
# ! '&
#
!
#
2)%5)#%/#()*#>0:.%#+0(3%;# ! ! =#
#
?@=?A##B/#2*#$":&'#%&#>3"8.*+#?@=?C1#0#!#3"(0(%"&#08":(#()*#%,0;%/#%/#3*43*/*&(*'#87#()*#
<:0&(:+#60(*#(30&/$"3+0(%"&#+0(3%;#
" ! " %
!" ! $
#
" !! '&
#
!
D"3# 0# !EA# 3"(0(%"&# 08":(# ()*# !,0;%/1# ()*# (30&/$"3+0(%"&# +0(3%;# 50&# 8*# "8(0%&*'# 87# 0&#
*;(*&/%"&#"$#>3"8.*+#?@=??=##B#!EA#3"(0(%"&#3*<:%3*/#()0(#()*#$%*.'#8*#044.%*'#."&6#*&":6)#
("#)0-*# ! !! ! " " =##!):/#()*#/(0(*#-*5("3#0$(*3#()*#(%+*#*-".:(%"&#%/#
#
! !! " #
#
#
#
! "$ " #"" " $"## # $ % !$! !" ! "$ $ #"" " $$## # " %
!
! "$ " #"" " !" !! " # " !" ! ! $ !$#! " ! "!$! !" ! "$ $ #"" " !" !! $ # " !" ! ! $ !"#! " ! " #
"
!
$! " " "" " $ $ ! "$ $ "" " " &'
" % $
!
"
"3#%&#+0(3%;#&"(0(%"&9#
#
!"##"#$%
# !!! &
! # ! "! & # !! &
"
%
(
%
(#
%$ !"! ('
" %$ ! ! (' %$ !" ('
%
#!&'%
!"#$%&$'()*+,(-.$
!"#$%&'"(&')*+$,-).*'/-+&.*')/0&/$&
" # " "" &
!"! ! !
&
! %$ " " ('
!
!"#$&'"(&1*2*.*)2&')*+$,-).*'/-+&.*')/0&/$&
&
&
" # " "" & # " # &
" # " " &
! " ! !#! ! ! $ !
!
&
%
(
%
(
! $ " " ' $ # "" '
! %$ " "" ('
!
&
34536&&!"(&')*+$,-).*'/-+$&-,&'"(&!"#$&7*'(&*)(&
! "#$% !! ! !!
! "#$% !" ! !"
&
&
! "#$% "! ! ""
! "#$% "" ! "!
!-&,/+2&'"(&.*')/0&(8(.(+'$&-,&! "#$% %&9)-:(;'&'"($(&(<#*'/-+$&-+'-&'"(&=*$/$&$'*'($5&&!"()(&
*)(&-+8>&,-#)&+-+?()-&(8(.(+'$@&
!! ! "#$% !! ! "
!" ! "#$% !" ! "
&
"" ! "#$% "! ! "
&
"! ! "#$% "" ! "
!"#$&'"(&')*+$,-).*'/-+&.*')/0&/$&
! "#$%
&
!
!
#
!#
#
#"
!
"
"
"
"
!
"
"
"
"
"
!
"
"
!
"
!
" "&
$
&
&&
&
&%
&
3453A&&B/C&D-)&'"(&/+9#'&$'*'(&
&
! ! ! "" ! "
'"(&*;'/-+&-,&'"(&1*2*.*)2&7*'(&>/(82$&
&
! ! ! ! "#$"% ! # ! "! "#$"% $
%
#$
&
&
&
&
&
&
!"##"#$%
%
#!&#'%
!"#$%&$'()*+,(-.$
!"#$%&'()*+&,'%-+($+*$%"#$)-(./#$0+(%&+/$123-%$-)$
! "#$!% "
$
%
!
!
# " # # %" # %
# " # %
!
$ $# # !# '& $# " '&
$ $# # '& $
!
#
$
#"
"#%
%
$
!"#$&#)2/%'(%$)%'%#$+*$%"#$45123-%$)6)%#,$3#*+&#$%"#$!"#$$.'%#$-)$
$
!! !
"
!
##
!
$
""! #
"
!
!"#$%&'()*+&,'%-+($+*$%"#$!"#$$.'%#$-)$
$
"
# $
!
$
"$
$#
! ! ! !"#$% ! "
!
!"#$+2%72%$)%'%#$-)$%"2)$
#
$
$
$
!! !
$
"
#
"
" $
! "! # ## " "# $ !
$
!$
$#
$
#
$
$
$
$
$
#
# $$
$
$
#
$
%"
'$
'$
'$
'& $#
#
$
#
$
"
#
"
#
%
'
'$
'
'&
%
" #
'
# $ $
'!
$
"$ $
'
'&
$# #
%
'
'$
'
'&
" "" $ $
!"-)$-)$%"#$#(%'(./#8$9#//$)%'%#$ ! !! $*&+,$:1;$<=>;4?@;$
<--@$A+&$%"#$-(72%$)%'%#$
! ! ! "! ! "
$
!
!"$
%"#$'0%-+($+*$%"#$B'8','&8$.'%#$6-#/8)$
! ! ! ! "#$"% ! # ! "! "#$"% $
$
%
##
&
$
!"#$%&'()*+&,'%-+($+*$%"#$)-(./#$0+(%&+/$123-%$-)$
! "#$!% "
$
%
!
# " # # %" # %
# " # %
!
$ $# # !# '& $# " '&
$ $# # '& $
#
$
! #$ " % " # %
!
!"#$&#)2/%'(%$)%'%#$+*$%"#$45123-%$)6)%#,$3#*+&#$%"#$!"#$$.'%#$-)$
$
!! !
!
"
!
##
!
""!
$
"
" $
" " ! "! # #" " "" $ !
$
!$
$#
#
"
#
"
%
'
'$
'
'&
$
!"##"#$%
%
#!&##%
!"#$%&$'()*+,(-.$
!"#$%&'()*+&,'%-+($+*$%"#$!"#$$.'%#$-)$
$
! ! ! !"#$% ! "
!
!"#$+/%0/%$)%'%#$-)$%"/)$
"
# $
!
$
"$
$#
#
$
$
$
!! !
$
$
#
$
$
"
#
$
$
$
#
$
$
#
$
%"
'$
'$
'$
'& $#
$
#
$
#
%
" $ %
'
# $ # '
'!
'$
$
"$ # '
'
'&
$# $ '&
# $" " "$ $ $
!"-)$-)$%"#$#(%'(.1#2$3#11$)%'%#$ ! !" $*&+,$456$7896:;<6$
7---<$=+&$%"#$-(0/%$)%'%#$
! ! ! !" ! ! ! " " $
$
%"#$'>%-+($+*$%"#$?'2','&2$.'%#$@-#12)$
! ! ! ! "#$"% ! # ! "! "#$"% # % # $ & $
$
!"#$%&'()*+&,'%-+($+*$%"#$)-(.1#$>+(%&+1$5/A-%$-)$
$
! "#$!% " % !
" " " " %" $ %
" " " %
!
$
'
$
'
# # " !" & # " &
# $# !" '& $
"
#
! "# $ % ! " %
!
!"#$&#)/1%'(%$)%'%#$+*$%"#$:B5/A-%$)@)%#,$A#*+&#$%"#$!"#$$.'%#$-)$
$
!! !
"
!
"#
!
#
""! #
!
!"#$%&'()*+&,'%-+($+*$%"#$!"#$$.'%#$-)$
$
! ! ! !"#$% ! "
!
!"#$+/%0/%$)%'%#$-)$%"/)$
$
"
# $
!
$
"$
$#
"
#
" %
! "! " ## " "# # !
%
!%
%$
#
$
$
$
!! !
$
#
$
$
"
#
$
$
$
#
" $$
$
$
#
$
%"
'$
'$
'$
'& $#
#
$
(#
$
"
#
""
#
&
(
($
(
('
%
" # %
'
# $ $ '
'!
$
'$
"$ $ '
'
'&
$# (# '&
" "" # $
!"-)$-)$%"#$#(%'(.1#2$3#11$)%'%#$ !!" $*&+,$456$7896:;<6$
$
$
$
!"##"#$%
%
#!&#$%
!"#$%&$'()*+,(-.$
!"#!$%%&'(%%)*+%,-.%/.00%1,2,.% ! !! !
# !!
#
# %
!
%
!%
%$
! ! ! !"#$% " ""
%
"
#
" "" $ 3%,-.%24,'*5%*6%,-.%!"#$%72,.%8'.091%
#
"
"
"
"
#
"
"
"
"
"
#
&#
(%
(%
(%
(' %$
"
"
#
"
#
"
"
#
&
# # &
(
# % " (
(!
(%
%
!% # (
(
('
%$ " ('
!
:-.%24,'*5%*6%,-.%;292<2+9%72,.%*5%,-'1%'5,.+<.9'2,.%1,2,.% ! ! !
%
! ! ! ! "#$"%
!
#
$
#%
%
#
$
# %%
$
" #% $ !
"#% %
&
#
#
$
" #$ %
#!
%
%
"#$"%
%
$
"#% %
&
$%
&
! %
"
%
#
$
%
#!
&
"
!
# ##
"#$"%
" "# $ %8'.091%
$
#% %
&
%
! %%
;.54.3%,-.%/.00%1,2,.% ! !! %'1%,+2516*+<.9%'5,*%,-.%4*<=>,2,'*520%?21'1%1,2,.% !! #%
&''(%%)*+%,-.%/.00%1,2,.% ! !" ! "# # !" " "! $ 3%,-.%24,'*5%*6%,-.%!"#$%72,.%8'.091%
#
# %
!
%
!%
%$
! ! ! !"#$% " "#
%
#
"
"
"
"
#
"
"
"
"
"
#
&#
(%
(%
(%
(' %$
"
"
#
"
"
#
#
"
&
# "
(
# % #
(!
%
!% "
(
('
%$ #
!
:-.%24,'*5%*6%,-.%;292<2+9%72,.%*5%,-'1%'5,.+<.9'2,.%1,2,.% ! ! !
%
! ! ! ! "#$"%
!
#
$
#%
%
#
$
# %# " ## $ ! #!
$
#
$
#
" # % # & " #$ %
%
"#$"%
%
$
%
$#
&
"#% #& ! %
"
%
#
$
#!
"
!
&
(
(%
(
('
# #" " "" $ %8'.091%
"#$"%
$
#% #&
# & ! %#
%
;.54.3%,-.%/.00%1,2,.% ! !" %'1%,+2516*+<.9%'5,*%,-.%4*<=>,2,'*520%?21'1%1,2,.% !" #%
&'''(%%)*+%,-.%/.00%1,2,.% !!" ! !# " "" " !! # 3%,-.%24,'*5%*6%,-.%!"#$%72,.%8'.091%
%
! ! ! !"#$% " ""
#
# %
!
%
!%
%$
#
"
"
"
"
#
"
"
"
"
"
#
"
"
#
"
&#
(%
(%
(%
(' %$
#
"
"
)#
&
# #
(
# % "
(!
%
! % )#
(
('
%$ "
!
:-.%24,'*5%*6%,-.%;292<2+9%72,.%*5%,-'1%'5,.+<.9'2,.%1,2,.% ! ! !
%
! ! ! ! "#$"%
!
#
$
"%
%
#
$
" %%
#
" #% # !
$#% %
&
"
#
$
#
$
"%
"!
%
"#$"%
%
#
"#% %
%
&
#%
&
"
#
$
! #% %
"!
&
"
!
" ##
"#$"%
&
(
(%
(
('
" "# # %8'.091%
#
#% %
! #%
&
%
;.54.3%,-.%/.00%1,2,.% !!" %'1%,+2516*+<.9%'5,*%,-.%4*<=>,2,'*520%?21'1%1,2,.% !" #%
&'@(%%)*+%,-.%/.00%1,2,.% !!! ! !" " #! " !# # 3%,-.%24,'*5%*6%,-.%!"#$%72,.%8'.091%
%
! ! ! !"#$% " "#
!
!"##"#$%
#
# %
!
%
!%
%$
#
"
"
"
"
#
"
"
"
"
"
#
%
"
"
#
"
&#
(%
(%
(%
(' %$
"
#
)#
"
&
# "
(
# % #
(!
%
!% "
(
%$ )#
('
&
(
(%
(
('
#!&#'%
!"#$%&$'()*+,(-.$
!"#$%&'()*$)+$'"#$,%-%.%/-$0%'#$)*$'"(1$(*'#/.#-(%'#$1'%'#$ ! ! !
$
! ! ! ! "#$"%
!
#
$
"%
#
$
" %# " ## # ! "!
#
#
$
"
$ # % # & " #$ %
%
%
"#$"%
#
%
##
"
&
"!
#
$
"
!
" #" " "" # $2(#3-1$
"#$"%
#
#% #&
" # % # & ! # % # & ! ##
%
$
,#*&#4$'"#$5#33$1'%'#$ !!! $(1$'/%*1+)/.#-$(*')$'"#$&).67'%'()*%3$8%1(1$1'%'#$ !! 9$
$
:;9:;$$!"#$1'%'#$<#&')/$+)/$'"#$&).63#'#$'"/##=>78('$121'#.$(1$
! !"# ! " !!
$
!
#
!
#!
(
'
(
! "#$%#&
!"
!
!
!
!
!
!
"
"
!
"
#
'
(
#
'
#!
(
"
'
"
$##
'
!
'
!
!"#$8%1(1$)+$#*'%*03#-$5#33$1'%'#1$ !!"
$
! !!
!"
!
"
#
! !"
!"
!
"
#
!"
!
"
#
!"
!
"
#
!"!
!""
# !!
# !"
# !!
# !"
#$
!
"
$
! # !"!#' ' #
!
#
"
#'
(
!
!
!
$
'#"
"
#'
(
'
!
'
"
'#
!
#
"
##
$)+$'"#$'?)$>78('1$!$%*-$"$(1$
!"
" ""
!"
!"
" "!
!"
!"
" ""
!"
" "!
!"
!"
$!
$!
$!
$!
"
"
#
!
!
!
"
#
!
!
"""
"
#
"
"
#
!
!
!
"
"
#
"
"""
"
#
!
!
"
"#
"
!
"
"
"
#
"
#
"
"
!
""
!
!
!
""
!
!
"
$
"
@#0/)76(*0$1'%'#1$(*$'"#$A=>78('$1'%'#4$?#$0#'$
$
! !"# !
"!
"
!
#
"
!
#"
!
!
!
!!
"!
"
!
#
"
!#
!
" " ! #!
"
"
#
!
#
!
##"
"#
"
!
"
!#
!
" "# ##
"
# " !!!"!!!"! !!
!#
!
"
# " !!!"!!!" # !#
!#
!
"
# " !!!"!!!"! !!
!#
!
"
# " !!!"!!!" # !#
!#
!
"
"
#
!
# " " "# !#
!#
#
!#
#
"
$
$
B)?$?/('#$#%&"$'#/.$'?(&#$%*-$/#%//%*0#$')$0#'$
! !"# !
!
" "
#"
#
##
""! #!
$
"" # ##
""! #!
!#
!#
!#
!#
$
$
C--$%*-$178'/%&'$D$.)/#$'#/.1$')$0#'$
! !"# !
$
!
" "
#"
#
##
""! #!
"" # ##
""! #!
!#
!#
!#
!#
#
#
#
#
"
"
"
"
" " # !!
" "! !#
# " # !!
# "! !#
!#
!#
!#
!#
#
"
" "! ##
# " !"" # #!
!#
!#
! " " "! !!
!#
!
"
! " " " # !#
!#
!
"
# " !#"! ##
!#
! " " "! !!
!#
!
"
# " !#" # #!
!#
! " " " # !#
!#
!
"
$
$
$
$
!"##"#$%
%
#!&#'%
!"#$%&$'()*+,(-.$
!"#$%&'()*+%,$)*%-#..%/)')#/%)*%0#)%
! !"# !
!
" "
%
%# ##
!#
" !!
!#
" #!
!#
" !#
!#
!#
# !!
!#
!#
# !#
!#
#
" # ##
" # #!
$#"
$!#"
$!#"
$!#"
#
#
"
" "! !
"
$
$
%
$
$&
!
#
"
" "# !
"
#
#
"
# "! !
"
!
#
"
# "# !
"
12#$),&3,$0%)"#%-#..%/)')#/%3,#.2/%
! !"# !
%
%
!
" ##
"
" " #!
!#
!#
" "!#
!#
" "!!
!#
#
!##
!##
!##
! ## #
"
" #! !
"
!
#
"
" ## !
"
#
#
"
$ #! !
"
!
#
"
$ ## !
"
$
$%
$
$&
%
45647% % 8,9% 1&% :.,(#;/% -#..</)')#% =#'/>+#=#$)% ,$2,(')#/% )"')% )"#%!%'$2%"%?>@,)/% '+#%,$%)"#%
/)')#% ! !! !" A%)"#$%-*@;/%?>@,)%#%,/%,$%)"#%/)')#%
!
%
!
! " ! ! ! !"!"" " ! %
!",/%,/%#B'().3%)"#%/#(+#)%/)')#%)"')%C'+*.%0'D#%)*%:.,(#A%/*%-*@%2*#/%$*)%$##2%)*%'EE.3%'%
)+'$/&*+='),*$A%F",("%,/%#?>,D'.#$)%)*%)"#%,2#$),)3%)+'$/&*+='),*$6%
8,,9% 1&% :.,(#;/% -#..</)')#% =#'/>+#=#$)% ,$2,(')#/% )"')% )"#% !% '$2% "% ?>@,)/% '+#% ,$% )"#% /)')#%
! !" !" A%)"#$%-*@;/%?>@,)%#%,/%,$%)"#%/)')#%
!
%
!
! "! " ! !"!" " ! ! %
!*%)+'$/&*+=%)",/%/)')#%)*%)"#%/#(+#)%/)')#%)"')%C'+*.%0'D#%)*%:.,(#A%-*@%'EE.,#/%)"#%! "#$ %
)+'$/&*+='),*$6%%G#);/%("#(H%)"')%-*@%0#)/%)"#%2#/,+#2%+#/>.)I%
%
! "#$ !
%
#
! ! "#$ "! " % !"!" " !
%
# " ! & # "! & # " "
%
( !%
! " (' %$ " " (' %$ "!
$ ! %$
&
(
(' %
! " " " % !"!"! ! % ! ! #$%&$' %
!
8,,,9% 1&% :.,(#;/% -#..</)')#% =#'/>+#=#$)% ,$2,(')#/% )"')% )"#% !% '$2% "% ?>@,)/% '+#% ,$%)"#% /)')#%
!!" !" A%)"#$%-*@;/%?>@,)%#%,/%,$%)"#%/)')#%
%
!
!
! " ! ! ! !#!"" " ! %
%
%
%
!"##"#$%
%
#!&#'%
!"#$%&$'()*+,(-.$
!"#$%&'()"%*#$+,(#($&$-# $"#$+-# (-.%-$#($&$-#$+&$#/&%"0#1&2-#$"# 30,.-4#5"6#&770,-(#$+-# ! " #
$%&'()"%*&$,"'8##9-$:(#.+-.;#$+&$#5"6#1-$(#$+-#<-(,%-<#%-(=0$>#
!" !
#
#
"
! ! " " ! ! # !#!"" "
#
$ " ! ' $ "!
&
! #" )( &% #""
# ! &%
' $ "!
) !&
)( &% ""
'
)
)( #
! " ! ! # !$!"" " # ! ! #$%&$' #
!
?,2@# A)# 30,.-:(# 5-00B($&$-# *-&(=%-*-'$#,'<,.&$-(# $+&$# $+-#!# &'<# "# C=6,$(# &%-# ,'#$+-# ($&$-#
!!! !" 4#$+-'#5"6:(#C=6,$###,(#,'#$+-#($&$-#
!
#
!
! "! " ! !#!" " ! ! #
!"# $%&'()"%*# $+,(# ($&$-# $"# $+-# (-.%-$# ($&$-# $+&$# /&%"0# 1&2-# $"# 30,.-4# 5"6# &770,-(# $+-#
! "! #$% #$%&'()"%*&$,"'8##9-$:(#.+-.;#$+&$#5"6#1-$(#$+-#<-(,%-<#%-(=0$>#
#
! "! #$% !
&
"
! ! "! #$% "! " & !#!" " !
"
#
&
#
$ ! " ' $ " ! ' $ "!
!&
&
% " #! )( &% ! " )( &% #" "
'
$ "" '
!
#
)
&
)
)(
&% "! )( #
! # " " " & !$!"! ! & ! # ! #$%&$' &
!
A'#$+,(#.&(-4#$+-#($&$-#.&%%,-(#&'#"2-%&00#7+&(-#(+,)$#?BD@4#6=$#$+&$#,(#'"$#7+E(,.&0#("#$+-#($&$-#
,(#$+-#(&*-8#
#
#
!"##"#$%
%
#!&#!%