Usulan Untuk Meningkatkan Brand Equity (Studi Kasus Di PT.X).
!"#
$"#
&' '#
%"#
)
(
*
+
,
,
&%"
.
$% !#
%' /#
// !#
0$
,/"#-
/& '/#
,'" 1$#-
/" 1$#,!( &/#-
2
*
*
Universitas Kristen Maranatha
!
% &
(
'
)*
+
"
"
,),"
-
,.,
/
" )
%
"
#
$
"
#
$%
"
#
$%
"
#
$%
$(
, "
$(
0
%
!
%$
%%
%$+
%(
, "
%$/
%+
& 1, 2
%-
""
%/
%$3
& 1, 2
) " 5& ) "
%$ 4
& 1, 2
%$ %
%/
%$ %
%/%
%$ +
%/(
%$ -
%/+
%$ /
%/+
%7
%7
, !"
68, " &
68, "
& 62
)8
2
%$ /
% $ %4
% $ %4
Universitas Kristen Maranatha
%7%
)8
% $ %4
%7(
)8
%7+
!
,
%9
!, ,
%9
,
)8
% $ %+
&
" ,)
% $ %+
!, ,
%9%
% $ %+
* !
!, ,
%3
% 4%
% $ %7
*
% 4 : & "
*
"
% $ %3
% $ %3
%$(
; ; ;
(%
!
(( &
'
"
)*
"
,),"
(/
(7
" ,)
" ,)
& #, ,
(-
"
" ,)
(
(+
% $ %/
!,)8,
% 4: & " &
(
%$%
($/
#
($7
"
#
($7
#
($7
,.,
. ,
($7
,"
,
(3 :
#
"
"
",& &
(9
"
($/
($9
:
* 5
*
($3
& " 6 " ,
( 4
)8
(
,
( %
!
0,) #
2 *
($3
($ 4
)8
, "6
($ 4
.
6*
($
( (
. : & " , "6
($
( +
.
($ %
*
( -
2 *
( /
!6 #
( 7
""
( 9
" )8,
" , "6
, "6
.,
($ (
($ (
($
&
($
+
+
!,)8,
+$
Universitas Kristen Maranatha
+
.
+
%
+%
"
#
!
," #
, , ;!
" "
8 , "
+(
),)
+(
+$
+$%
, "6
& #, ,
"86 &
+$+
+$-
"
+$-
+(%
&&
+$-
+((
.
+$/
+(+
& 8
+$/
++ <
""
++
68 6'
", "
+$/
&
+$7
++%
&
=
+$7
++(
&
=6!
+++
&
<
6
+$7
+$9
+-
+$9
+/
+$3
+7
+$
+9
+$ %
-
;
-
. :
& "&
*
-
. :
&
"
-
% . :
&
"
-%
.
-(
*
"
& <
-$
-$
"
-$%
-$(
""
-(
-$+
-$-
-(
!
-("
!
-($
%
-+
"
-$#
-$/
-$/
-$7
--
-$
-/
-$ 7
-/ &
-$ 7
Universitas Kristen Maranatha
-/%' (
-$ 9
-/(&
-$ 3
-/+
) #
- $ %4
-/-*
-$%
-//
2 ! ) , .,
-7
-9
(
- $ %%
- $ %+
",
- $ %-
/
/
" )8,
/$
/%
;
/$%
;
0
Universitas Kristen Maranatha
-
( !
6
6
! !"
# !$
! !"
# !% !
! !"
# !% # & !
! !"
# !% !
# !
6
6
!
6
6
6
6
' (
6
)!* (
! # )!
-
%
!+ ,
6
!. ! ( !
!
-
!. ! ( !
6
. ! & )!
%
!
6
6
. ! & )!
6
.! & + ,
6
%
!
.! & + ,
6
/
# 0 !1
!1
!1
6
2
!( ( 3
#
6
/
# 0 !1 !1 !
4 #
/
4 #
% !&
6
! )!
6
# )!
% !&
6
!+ ,
6
/
#+ ,
-
% !1 & !
$& 5
.
-
% !1 & !
$& 5
. ! & )!
6
-
% !1 & !
$& 5
.! & + ,
6
6
! !1 !
6
6
6
6
' (
)!* (
6
Universitas Kristen Maranatha
)!
6
+ ,
6
!1# .
!/
!1# .
!%
!1# .
!.
!1# .
!. !
!1# .
!.
.
(
% #
!/ !
#
6
#"
6
!- 1
! .
3 !%
!1 ! /
6
%
#
6
#' ,
.
3 !
6
!
6
)!
6
)!
6
)!
6
!"
)!
6
# $$
)!
6
/
# 0 !1
!1
2
!( ( 3
/
# 0 !1 !1 !
!1
6
# )!
6
6
4 #
% !&
! )!
6
4 #
% !&
!+ ,
6
%
/
# )!
6
%
/
#+ ,
6
%
! !1 !
6
%
! !1 ! 2
6
Universitas Kristen Maranatha
'
*+
*,
*
* *
*
*
*
!"
#
!"
#
!"
#&
'
!"
#&
&
!"
#&
*
$ %
#
*
(
*
)
&
#
.
.
Universitas Kristen Maranatha
!
#
#
#
#
#
!
" ""
#
Universitas Kristen Maranatha
!"
"
#
"
#"
"
#
"
$
!
%
" "
&
!"
'
("
L
1
-
1
)
./.012
2!
*
"
+,
"
-
.
- 3"
4&.5. - 6 "
. 4.5
.
-7"
8
"
!"
"
#
"
#"
#
"
"
$
2
-
- +, "
9 ,,:;
- ?<
% $
%!
&%
%
5 &
6%%%%%%%%%%%%%%%
'%
/% "
%
#
&
=> ?
&% ABAC
>A
<
%
"?42(A A
%
5 &
6%%%%%%%%%%%%%%%
5 &
6%%%%%%%%%%%%%%%
'% >A42A =A
,% @
=> ?
& <
% (
&% !
%2
&
%
'% "
:% 4
&
&
<
%
=> ?
&% ABAC
>A
'% >A42A =A
%
"?42(A A
%
5 &
6%%%%%%%%%%%%%%%
!
2
.
%
$2
" #
&
&
.
# &
7
&
# &
&
#
%
' (
=
=> ?
2
ABAC
>A
2
=
.
9
/
,
(
"
;
"
)
" #
$
#
)
@
# &
4
&
2
2
5426
526
2
4
5 26
2
&
9
&
.
&
&
54 26
* +
*
=
2
"
&
#
# *"
#
2
, *
5
6
#
.
9
.
9
.
!
.
9
9
!
.
9
!
/
2
!
9
'
.
9
*" )
@
# &
4
2
5426
2
526
2
5 26
4
&
9
&
.
&
2
&
54 26
*,
*,
*"
0
*"
. /
* +
#
"
2
5
!
#
#
9
.
9
.
9
.
9
.
9
.
9
.
9
.
9
.
9
.
9
.
#
&
6
.
!
9
!
'
/
1
2
) 2
&
# &
/
&
9
7
%
' (
# &
%
S
e
b
e
r
a
p
a
s
e
r
i
n
g
A
n
d
a
m
e
n
g
g
u
n
a
k
a
n
m
e
r
k
I
N
V
I
O
k
a
r
e
n
a
f
a
k
t
o
r
h
a
r
g
a
?
1
T
i
d
a
k
A
p
p
a
e
k
r
a
n
a
h
h
J
A
n
d
a
s
e
t
u
j
u
b
a
h
a
r
w
a
n
a
g
A
S
n
d
a
m
e
n
g
g
u
n
a
k
a
n
e
r
m
i
e
n
r
g
k
S
I
N
V
I
O
k
a
r
e
n
a
k
e
b
i
e
a
l
s
a
l
a
u
a
n
?
2
S
a
n
g
a
A
t
t
p
i
a
k
d
a
a
k
h
s
A
e
n
t
u
d
j
u
a
T
m
e
n
g
g
u
n
i
a
k
d
a
a
k
s
n
m
e
t
e
u
r
j
u
k
I
S
N
V
I
O
k
a
r
e
n
a
p
e
u
t
a
u
s
j
t
u
e
S
r
h
a
d
a
p
k
u
a
l
i
t
a
s
a
n
p
r
g
o
a
d
t
s
u
e
k
t
n
u
y
j
u
a
?
3
S
a
n
g
a
t
t
i
d
a
k
p
S
a
n
g
a
t
t
i
d
a
k
s
u
a
s
T
A
i
p
d
a
a
k
k
a
p
u
h
a
A
n
s
d
P
a
m
e
n
y
u
k
a
i
m
e
r
u
a
k
I
s
N
V
I
O
S
a
n
g
a
t
p
S
a
n
g
a
t
s
u
a
s
?
4
u
k
A
a
p
T
a
k
a
h
A
n
d
a
i
d
a
m
k
e
s
u
m
k
p
r
a
o
S
m
o
s
i
k
a
n
p
r
o
d
u
k
I
u
k
N
a
V
I
O
k
e
o
r
a
n
g
l
a
i
n
u
?
5
T
i
d
a
k
p
e
r
n
a
h
J
a
r
a
n
g
S
e
r
i
n
g
S
e
l
a
l
u
k
a
i
n
v
i
o
e
i
V
e
s
p
o
n
d
e
a
r
e
a
x
e
l
i
b
V
n
e
1
2
3
4
5
1
3
3
3
4
3
2
3
2
3
3
3
3
3
3
3
3
3
3
3
3
3
5
3
2
2
2
3
6
3
3
2
3
3
3
2
3
3
2
R
s
p
o
n
d
e
a
r
e
a
l
b
n
1
2
3
1
2
3
3
4
2
5
2
2
3
3
2
1
3
3
3
3
3
3
3
3
3
2
2
5
3
2
3
3
3
6
3
3
2
3
3
3
2
3
3
R
4
4
4
7
1
8
3
3
2
3
3
8
3
3
2
3
3
9
3
3
2
3
3
9
3
3
2
3
3
3
2
3
3
3
1
3
3
2
3
3
1
1
1
2
2
3
3
1
3
3
3
1
2
3
2
3
3
3
3
2
1
3
3
1
3
2
2
3
3
1
3
3
1
5
3
1
6
4
1
5
3
2
3
1
6
3
1
2
3
2
3
1
4
0
1
1
3
4
4
4
3
1
2
4
2
2
3
3
2
2
3
2
3
2
3
2
3
3
2
3
2
3
3
2
8
2
3
2
1
9
3
3
3
3
3
1
8
3
2
3
9
3
3
2
3
3
1
3
3
3
3
3
2
0
4
4
1
0
3
1
3
3
2
3
3
2
1
2
3
3
2
3
3
2
2
2
3
3
3
2
3
3
2
3
2
4
4
3
4
3
4
3
3
4
3
3
3
3
4
3
3
3
2
2
1
3
3
2
3
3
3
3
3
2
5
3
2
6
3
3
3
3
3
2
6
3
2
3
3
2
3
3
3
3
3
3
3
2
8
3
2
2
3
3
2
8
2
9
2
3
1
3
3
2
9
4
4
7
0
3
2
3
3
3
4
5
6
4
4
8
9
1
4
2
3
3
3
3
3
3
3
3
2
3
3
4
3
0
2
3
3
3
3
2
3
4
2
3
4
3
3
1
3
3
2
2
3
3
2
3
4
2
3
3
3
3
3
3
3
4
3
3
1
3
3
3
4
4
4
4
4
3
4
3
5
3
2
3
3
3
3
6
3
2
3
3
3
3
4
3
3
4
2
4
4
4
1
3
2
2
3
3
3
3
4
3
3
3
3
4
7
2
4
0
4
3
3
7
3
3
3
2
4
3
3
3
3
3
3
3
4
4
2
4
4
3
3
4
7
4
1
2
4
5
2
4
2
4
2
3
4
3
2
3
4
2
3
4
7
2
4
4
4
3
2
2
4
4
7
1
4
7
0
1
4
4
3
4
1
4
3
4
3
4
3
8
3
4
3
3
9
3
4
3
0
2
4
1
3
2
3
2
3
3
4
3
3
2
2
2
3
3
2
2
3
4
1
2
2
3
3
2
3
3
3
3
4
2
3
3
2
3
3
4
3
4
4
3
4
3
4
1
4
3
4
3
4
4
3
4
2
4
2
2
3
4
5
3
3
3
3
3
4
5
3
4
6
3
3
3
3
3
4
6
3
2
3
3
3
3
3
4
3
2
3
2
2
3
3
4
3
3
3
4
4
7
4
8
4
9
5
0
5
1
5
2
5
3
5
2
4
3
4
3
4
4
8
9
5
0
3
2
3
3
5
1
3
3
2
2
3
5
2
3
3
3
3
5
3
3
3
1
3
3
5
4
4
3
3
3
4
4
3
3
3
3
2
3
3
3
3
3
3
2
2
2
3
4
3
4
3
2
3
3
3
4
4
4
4
2
4
4
4
4
2
4
2
4
4
1
4
7
4
3
3
2
4
3
2
1
5
5
3
2
3
3
2
5
5
3
3
3
5
6
3
3
2
3
3
5
6
3
2
3
2
2
3
3
2
3
3
5
3
2
3
3
2
3
3
5
8
3
2
3
2
3
3
5
9
2
3
2
3
3
5
7
5
8
3
2
3
5
9
3
3
3
6
0
4
3
2
3
3
3
2
3
2
6
1
3
3
2
3
3
6
1
3
3
3
3
3
6
2
3
3
2
3
3
6
2
3
2
2
3
3
3
2
2
1
3
3
6
3
3
3
3
3
6
6
6
4
4
6
7
0
4
3
4
3
4
6
5
3
3
3
3
3
6
5
6
6
3
3
3
3
3
6
6
3
2
2
3
3
6
3
6
8
6
9
6
7
6
8
6
9
7
0
7
7
7
7
7
4
3
4
3
4
7
7
3
3
3
3
3
2
3
3
3
3
2
3
3
5
3
3
2
3
3
6
2
2
1
3
3
7
7
7
3
3
2
2
3
3
3
3
3
3
2
2
3
3
6
2
3
1
3
3
3
3
2
3
3
8
2
3
1
3
3
8
1
6
3
3
3
5
3
3
5
2
8
3
2
3
3
8
1
3
3
3
4
3
2
3
3
7
8
4
4
3
3
9
0
4
4
4
3
4
4
3
1
4
4
3
3
3
4
3
4
2
3
2
3
3
3
3
2
2
3
3
3
3
3
3
3
1
3
3
8
2
2
3
2
3
3
8
3
3
3
2
2
3
8
3
3
3
3
8
5
3
2
3
3
2
3
1
3
3
8
6
3
3
2
3
3
4
3
4
4
4
4
8
4
4
3
3
2
3
3
8
8
2
3
2
3
3
8
8
3
3
2
3
3
8
9
3
3
2
2
3
8
9
3
3
3
3
3
7
4
4
3
3
9
4
3
3
3
4
3
3
3
3
4
2
3
3
3
4
2
3
3
3
3
3
3
3
2
3
3
3
8
3
1
3
8
3
3
3
7
2
3
3
0
3
3
3
7
3
4
3
8
7
3
4
2
4
4
7
1
4
2
1
7
3
4
4
0
7
2
1
8
4
1
4
3
8
8
3
3
4
3
7
7
8
4
1
4
2
4
7
3
4
2
1
7
7
2
4
2
4
4
7
9
0
4
3
3
3
3
9
0
3
3
2
3
3
9
1
3
3
1
3
3
9
1
3
3
2
3
3
9
2
3
2
3
3
2
9
2
3
3
2
3
3
9
3
3
3
2
3
3
9
3
2
2
1
3
3
3
3
2
3
3
9
3
3
3
3
9
5
3
9
6
9
4
9
5
9
6
9
4
3
7
9
9
3
4
1
4
3
4
4
4
2
9
8
3
3
2
3
3
9
3
3
2
3
3
2
2
1
3
3
1
0
0
4
8
9
0
1
0
1
3
3
3
3
3
1
0
1
1
0
2
3
3
3
3
3
1
0
2
1
0
3
3
3
3
3
3
1
0
3
1
0
3
2
2
3
3
1
0
1
0
5
3
1
0
5
1
0
6
1
0
6
1
0
1
0
1
0
8
1
0
8
1
0
9
0
9
4
2
3
4
1
4
2
7
4
1
4
0
4
3
4
3
4
3
4
3
4
4
3
3
2
3
3
1
2
3
3
3
2
2
3
3
2
3
3
3
2
2
3
3
3
3
3
3
3
1
3
3
2
3
2
3
3
3
3
2
2
3
3
3
3
3
3
3
1
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
3
3
1
3
3
2
3
3
1
1
1
1
3
3
2
3
3
1
1
1
1
1
2
3
3
2
3
3
1
1
2
2
1
1
3
3
3
3
3
1
1
3
3
1
1
3
2
3
3
1
1
1
1
5
3
3
3
3
3
1
1
5
3
1
1
6
3
3
3
3
3
1
1
6
3
1
1
3
2
2
2
3
1
1
3
1
1
8
3
3
2
3
3
1
1
8
1
1
9
3
3
1
3
3
1
1
9
1
2
1
2
7
0
4
0
.
5
4
5
0
.
5
4
9
0
.
8
4
4
9
0
.
4
4
6
0
.
4
3
7
.
0
3
3
3
3
3
-
9
1
.
0
.
4
4
0
0
2
1
0
6
4
0
0
8
9
.
6
0
5
1
7
1
.
7
9
6
1
1
1
8
7
3
4
-
1
4
1
6
6
7
0
1
.
2
0
3
0
3
1
.
.
0
3
.
.
0
.
4
0
9
7
1
0
9
4
6
5
2
1
9
1
0
3
2
1
4
6
1
7
1
4
0
5
2
2
3
8
3
1
1
6
1
9
3
0
2
8
8
.
6
2
3
2
2
3
3
2
2
3
2
3
2
2
3
3
2
2
3
3
2
3
4
4
2
4
0
.
6
8
4
3
0
.
8
1
4
3
1
4
3
2
4
4
4
4
2
0
3
4
4
4
0
2
4
3
1
0
3
4
4
4
3
1
4
0
4
2
1
4
4
4
7
4
3
4
4
3
4
3
4
0
3
4
2
4
9
1
1
4
7
9
3
4
9
3
0
.
5
5
3
0
.
6
4
d
i
d
i
^
2
1
0
2
0
0
2
1
0
1
3
0
0
0
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
1
9
-
0
0
0
0
0
0
0
0
0
1
-
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
1
0
-
1
1
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
0
1
1
1
0
1
-
1
-
0
1
-
1
0
0
0
-
-
0
1
1
-
1
1
0
-
2
1
1
-
0
1
1
1
4
0
1
1
-
0
0
1
1
0
0
0
4
1
1
0
-
0
2
-
1
0
1
0
1
1
0
1
1
0
1
0
2
0
1
1
0
1
1
0
2
3
1
4
1
1
1
1
-
0
1
1
-
1
0
-
0
0
0
1
1
-
1
0
1
0
1
1
1
9
-
0
1
0
0
1
-
0
4
-
0
0
0
1
0
0
0
2
0
0
0
1
0
0
1
0
0
3
0
0
1
0
1
1
0
0
0
0
0
0
-
0
0
4
-
1
-
1
-
-
0
1
1
0
0
1
1
0
0
1
9
0
0
-
1
-
1
-
1
0
1
-
1
-
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
2
0
0
0
1
4
0
0
1
0
0
4
1
0
0
-
1
0
-
-
2
1
-
1
-
1
0
2
0
2
1
2
-
1
1
0
0
4
0
0
0
0
4
0
1
1
4
0
0
1
0
0
0
1
0
-
0
1
0
1
0
-
1
1
-
1
0
1
1
0
-
0
0
0
1
1
0
0
1
1
4
4
1
4
0
1
-
1
2
1
-
2
-
1
0
1
0
0
1
0
-
1
0
1
1
1
1
0
0
2
1
1
4
1
1
0
1
1
0
1
1
0
1
-
1
-
1
-
1
-
2
1
-
2
1
1
4
-
1
0
1
0
1
0
0
1
1
0
0
1
1
1
-
1
1
1
-
1
1
0
1
1
0
3
-
1
1
1
1
-
1
1
-
0
1
0
1
0
1
1
9
0
0
1
0
2
1
2
1
0
-
1
1
1
0
4
1
4
0
0
1
0
0
1
0
0
0
1
0
4
1
1
0
1
0
-
0
1
0
0
1
0
0
1
-
1
0
0
2
0
0
1
1
0
4
1
1
1
0
0
0
0
0
-
2
1
1
-
1
1
0
1
0
-
0
2
0
2
0
2
-
0
0
0
4
0
0
4
0
4
0
0
0
0
0
0
0
0
-
1
0
0
1
-
0
0
0
1
-
0
1
-
1
0
2
0
0
0
1
4
1
1
0
1
0
1
1
1
0
1
1
1
-
1
2
1
4
-
0
2
-
0
1
-
0
1
0
1
4
1
0
1
-
1
1
1
1
-
1
0
0
1
-
0
0
1
0
0
0
1
0
1
0
1
1
0
1
0
0
0
1
2
0
1
0
1
0
0
1
0
0
1
0
4
0
1
-
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
-
0
0
-
1
-
1
-
1
0
0
1
1
-
1
0
1
1
1
1
1
1
1
-
0
1
0
0
0
1
0
1
0
0
1
0
0
1
0
1
1
0
1
0
0
1
0
0
0
0
0
-
0
1
1
-
1
1
-
1
-
0
0
0
-
2
1
1
0
-
2
1
1
1
1
1
1
4
0
1
4
1
1
1
1
1
1
0
-
0
1
1
0
1
1
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
-
0
0
-
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
-
1
-
1
-
1
-
0
1
1
-
0
1
1
1
1
1
1
-
0
0
0
0
1
0
0
0
0
0
4
0
0
4
4
-
0
0
1
-
2
2
-
0
2
-
1
-
1
0
0
1
1
1
1
-
0
0
0
0
1
0
0
-
1
2
1
2
0
2
0
1
-
1
1
1
4
4
0
4
0
1
0
0
0
1
1
0
0
-
0
0
1
1
1
0
-
1
0
1
0
0
1
0
1
0
0
1
0
1
0
1
4
0
0
1
1
0
0
-
1
1
1
2
0
1
0
0
1
1
0
1
0
1
0
0
1
0
-
0
0
1
-
1
0
1
0
0
0
1
0
1
1
0
-
1
0
0
1
0
0
0
1
0
1
1
0
1
1
0
0
1
1
0
0
1
0
1
0
0
0
0
0
1
0
0
1
1
0
1
1
0
0
1
0
0
-
0
1
-
1
0
0
1
1
-
1
0
1
-
1
1
-
0
1
-
1
0
1
1
1
1
-
0
0
1
0
0
-
1
1
2
2
1
1
1
4
1
1
2
1
1
1
1
4
-
-
1
-
0
1
-
0
1
-
1
1
1
-
0
1
0
1
0
1
0
0
1
2
0
0
1
0
1
-
0
0
0
1
1
0
1
0
-
0
1
4
0
0
0
0
0
0
4
0
0
-
0
0
1
0
1
0
0
0
0
1
1
0
0
0
4
0
1
1
0
0
0
1
0
-
2
2
0
-
0
0
4
0
0
-
1
1
3
0
1
1
-
1
0
2
1
0
1
1
9
0
1
4
1
0
0
-
1
1
0
1
1
0
0
1
0
0
0
0
1
1
0
1
0
1
1
1
0
0
1
0
0
0
0
1
0
1
-
1
1
-
2
-
1
-
-
1
-
1
1
1
1
1
1
4
1
1
1
1
4
1
0
1
-
1
1
0
1
2
0
1
0
-
0
1
0
0
2
1
0
2
0
4
1
0
0
0
0
1
4
-
0
0
0
1
1
0
0
0
0
1
0
-
1
1
0
1
1
0
1
2
1
0
1
0
0
1
1
1
1
-
2
0
1
0
4
1
4
-
1
1
-
0
1
-
0
1
4
1
-
1
0
0
2
-
9
2
0
0
-
7
1
9
1
1
1
1
1
1
-
1
-
1
1
-
1
-
-
3
-
0
0
0
0
0
0
-
6
3
0
8
0
9
1
1
8
3
6
6
8
4
i
V
o
d
e
l
p
i
M
o
P
K
k
a
u
d
e
s
e
o
n
s
i
t
s
a
r
a
n
s
u
i
e
p
r
a
i
h
n
a
o
r
e
m
i
i
n
s
u
p
e
o
d
e
n
o
o
c
e
a
r
a
k
s
e
l
u
u
r
h
o
n
a
a
k
H
o
o
T
H
a
l
T
k
H
r
u
d
k
m
i
T
o
a
l
e
l
a
r
s
k
m
n
a
l
a
g
t
u
p
l
T
o
e
a
l
d
s
o
k
i
a
p
K
l
b
i
T
g
r
k
K
s
d
a
e
a
r
a
h
n
a
K
i
r
i
e
r
n
a
v
b
u
s
a
e
a
e
k
r
m
n
a
o
a
k
H
a
k
H
l
o
r
h
i
t
u
n
g
r
k
r
i
t
i
k
k
e
s
i
m
n
u
l
a
n
N
a
r
i
a
b
e
l
0
1
.
5
4
7
7
v
o
a
l
i
d
a
l
i
d
1
a
l
i
d
2
a
l
i
d
3
a
l
i
d
v
a
r
i
a
b
e
l
0
2
.
7
3
1
5
v
v
0
a
r
i
a
b
e
l
a
r
i
a
b
e
l
3
0
.
6
0
.
6
0
6
.
1
7
9
8
4
v
v
4
9
7
9
v
v
a
r
i
a
b
e
l
5
0
.
6
1
8
1
v
4
v
5
6
r
a
r
i
a
b
e
l
h
0
1
i
.
t
u
8
n
2
3
g
r
k
r
i
t
i
k
k
e
s
i
m
2
v
n
u
a
l
i
d
a
l
i
d
a
l
i
d
a
l
i
d
a
l
i
d
l
a
n
v
a
r
i
a
b
e
l
0
2
.
6
7
9
2
v
v
0
a
r
i
a
b
e
l
a
r
i
a
b
e
l
3
0
.
8
0
.
7
7
3
.
1
7
9
8
1
v
v
N
4
4
4
8
v
o
v
a
r
i
a
b
e
l
5
0
.
7
0
3
8
v
1
v
2
3
r
h
i
t
u
n
g
a
r
i
a
b
e
l
1
0
.
6
7
7
7
a
r
i
a
b
e
l
2
0
.
5
6
5
9
r
k
r
i
t
i
k
k
v
s
i
m
n
u
l
a
n
4
a
l
i
d
5
a
l
i
d
6
a
l
i
d
a
l
i
d
a
l
i
d
v
v
v
0
a
r
i
a
b
e
l
a
r
i
a
b
e
l
3
0
.
6
0
.
6
4
8
3
1
9
v
.
1
7
9
8
v
4
6
v
v
a
v
e
r
i
a
b
e
l
5
0
.
6
1
1
2
v
o
I
n
o
I
i
n
i
v
v
o
A
P
s
s
i
a
s
P
e
i
r
s
e
n
t
a
s
e
(
%
J
o
e
s
a
i
n
r
s
e
n
t
a
s
e
(
%
)
s
e
(
%
)
J
a
D
e
)
a
w
b
a
n
a
y
a
a
w
b
a
n
t
i
d
a
k
o
l
g
m
e
n
a
r
i
k
n
e
r
h
a
t
i
a
5
n
9
4
9
.
2
9
3
.
3
6
1
.
7
6
8
.
3
6
1
5
0
.
8
6
3
8
.
3
8
3
1
.
7
N
a
y
m
a
n
d
i
n
a
k
a
1
i
1
2
8
6
.
7
H
a
r
g
a
e
r
a
j
n
g
k
a
7
u
4
4
o
M
d
L
t
e
l
m
u
l
t
i
u
f
n
g
s
i
8
2
3
o
k
a
s
i
n
e
n
j
u
a
l
n
a
l
a
n
m
u
d
a
h
d
i
a
j
n
g
k
a
u
1
1
5
9
5
.
8
5
1
1
2
9
3
.
3
8
1
2
4
.
2
.
7
M
e
r
k
t
e
r
k
e
6
o
T
t
a
l
E
0
1
x
E
e
u
c
t
i
2
0
x
e
e
u
c
t
i
e
v
v
o
A
P
P
s
s
i
a
s
i
e
r
s
e
n
t
a
s
J
o
e
s
a
i
n
(
%
e
)
r
s
e
n
t
a
J
a
D
e
w
a
b
a
n
y
a
a
w
a
b
a
n
t
i
d
a
k
o
l
g
m
e
n
a
r
i
k
n
e
r
h
a
t
i
a
n
6
3
5
2
.
5
5
9
8
8
1
.
7
2
8
6
7
1
.
7
3
6
7
5
5
.
8
5
7
4
7
.
5
1
8
.
3
2
8
.
3
.
2
N
a
y
m
a
n
d
i
n
a
k
a
i
2
H
a
r
g
a
e
r
a
j
n
g
k
a
u
4
o
M
d
L
t
e
l
m
u
l
t
i
u
f
n
g
s
i
3
4
4
o
k
a
s
i
n
e
n
j
u
a
l
n
a
l
a
n
m
u
d
a
h
d
i
j
a
n
g
k
a
u
1
2
0
1
0
0
.
0
0
0
.
0
1
2
0
1
0
0
.
0
0
0
.
0
1
2
0
M
e
r
k
t
e
r
k
e
T
o
t
a
l
1
2
0
n
e
r
e
c
i
e
d
v
o
I
J
a
a
w
b
a
n
n
E
x
i
e
u
c
t
i
v
e
v
x
A
t
r
i
b
u
d
e
X
t
f
X
f
f
f
S
a
n
g
a
t
n
u
a
s
4
2
0
8
0
1
9
8
3
1
8
7
6
o
M
l
P
u
n
a
k
a
i
a
a
s
3
8
3
2
1
7
2
4
9
2
4
9
n
T
i
m
e
n
a
r
i
d
a
k
n
u
a
s
3
4
3
6
k
S
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
0
0
0
0
o
T
t
a
l
1
2
0
3
6
3
1
2
0
3
6
1
R
a
t
S
a
r
a
t
a
3
J
.
0
2
5
o
I
a
a
w
b
a
n
3
n
E
.
0
0
8
x
i
e
u
c
t
i
v
e
v
x
A
t
r
i
b
u
X
t
f
X
f
f
f
S
a
n
g
a
t
n
u
a
s
4
1
4
5
6
1
8
7
2
o
P
P
r
d
u
k
u
a
s
3
7
6
2
2
9
2
2
8
8
4
2
5
2
T
b
e
r
a
r
i
a
s
i
v
i
d
a
k
n
u
a
s
5
8
1
8
3
6
S
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
1
1
0
0
o
T
t
a
l
1
2
0
3
4
3
1
2
0
3
6
0
R
a
t
S
a
r
a
t
a
2
J
.
8
5
8
o
I
a
a
w
b
a
n
3
n
E
.
0
0
0
x
i
e
u
c
t
i
v
e
v
A
x
t
r
i
b
u
X
t
f
X
f
f
f
S
a
n
g
a
t
n
u
a
4
s
1
4
5
6
1
6
5
1
6
4
K
e
s
e
s
u
a
i
a
n
P
u
h
a
r
g
a
d
e
n
g
a
a
s
3
4
2
4
6
1
3
8
1
5
3
n
T
i
d
a
k
n
u
a
s
0
8
0
0
2
0
4
2
8
1
1
4
o
m
d
e
l
S
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
2
1
1
o
T
t
a
l
1
2
0
2
9
4
1
2
0
3
1
2
R
a
t
S
a
r
a
t
a
2
J
.
4
5
0
o
I
a
a
w
b
a
n
2
n
E
.
6
0
0
x
i
e
u
c
t
i
v
e
v
A
x
t
r
i
b
u
X
t
f
X
f
f
f
S
a
K
n
g
a
t
n
u
a
s
4
2
0
8
0
1
0
8
4
4
0
o
n
s
i
s
t
e
n
s
i
P
u
k
u
a
l
i
t
a
a
3
s
9
2
2
7
6
2
5
2
s
T
i
d
a
k
n
u
a
2
s
8
1
6
2
6
5
2
o
n
r
d
u
k
S
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
0
0
0
0
o
T
t
a
1
l
2
0
3
7
2
1
2
0
3
4
4
R
a
t
S
a
r
a
t
3
a
J
.
1
0
0
o
I
a
a
w
b
a
n
2
n
E
i
.
6
7
x
e
v
8
c
u
t
i
e
v
x
A
t
r
i
b
u
X
t
f
X
f
f
f
K
S
e
r
a
n
i
h
a
n
a
n
g
a
t
n
u
a
s
4
2
0
8
0
1
1
8
8
1
5
4
4
o
P
n
r
d
u
k
u
a
s
3
9
8
2
9
4
2
6
4
T
s
e
c
a
r
a
i
d
a
k
n
u
a
s
2
2
4
3
0
S
k
e
s
e
l
u
r
u
h
a
n
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
0
0
6
6
T
o
t
a
l
1
2
0
3
7
8
1
2
0
3
R
a
t
a
-
r
a
t
a
3
.
1
5
0
2
.
8
6
7
4
4
K
K
i
N
o
n
e
r
i
a
j
n
e
r
a
j
P
e
r
n
a
y
t
a
a
n
o
I
n
e
s
a
i
n
n
g
i
v
M
o
P
o
1
d
2
r
e
d
l
u
n
a
k
k
b
a
e
i
a
r
n
a
m
r
i
e
a
s
n
a
r
i
k
i
3
.
0
0
8
3
.
0
2
.
6
2
.
8
6
2
.
8
6
3
.
0
2
0
0
2
.
0
0
2
.
8
7
3
.
1
7
3
.
1
5
5
8
v
K
3
o
e
K
s
e
s
u
a
i
a
n
h
a
g
a
d
e
n
g
a
o
n
m
d
e
l
4
5
0
o
n
4
s
i
s
t
e
n
s
i
k
u
K
5
r
a
l
i
t
a
s
n
r
d
u
k
0
0
o
e
r
a
n
i
h
a
n
n
r
d
u
k
s
e
c
a
r
a
k
e
s
e
l
u
r
u
h
a
n
5
0
k
e
p
a
e
r
i
n
a
t
b
i
s
p
o
n
d
e
g
a
n
e
l
V
e
n
e
n
R
1
2
3
4
1
3
3
2
3
3
4
5
4
6
4
7
4
3
4
3
3
3
0
4
1
2
1
3
4
3
4
1
6
2
0
1
3
7
4
1
9
6
3
1
7
7
3
1
7
8
3
1
7
9
4
3
4
3
3
4
3
0
5
1
7
1
4
1
7
1
0
1
3
4
1
5
1
2
3
3
4
1
7
1
3
4
1
3
3
3
1
3
3
3
1
5
1
5
3
3
1
5
1
6
8
1
7
6
1
8
1
9
8
9
4
4
3
3
2
4
4
4
4
4
3
4
4
4
4
4
3
2
6
2
7
2
8
4
2
9
4
4
3
0
3
4
1
3
4
4
1
4
4
2
4
1
8
2
3
4
1
6
2
1
3
1
6
2
2
3
1
9
2
1
9
2
1
5
2
5
3
4
3
3
4
3
3
4
4
2
4
4
4
1
4
4
4
4
4
4
1
3
3
2
4
4
3
4
4
4
3
4
4
4
3
4
4
4
3
4
2
6
2
7
2
8
1
8
2
9
0
1
9
3
3
1
5
3
1
3
1
8
3
2
4
3
0
0
9
2
3
4
3
3
3
0
4
3
4
3
1
2
4
3
4
3
4
4
3
4
4
4
5
3
4
3
3
2
4
5
3
1
3
n
3
1
3
e
2
7
3
3
d
2
3
1
3
2
n
4
2
4
1
o
4
3
3
2
3
4
p
4
3
3
2
1
s
R
4
3
3
2
l
4
4
6
2
m
4
3
5
1
j
4
4
1
0
4
4
3
1
2
3
4
3
4
9
5
3
4
4
4
4
3
8
1
2
4
2
4
1
1
1
2
3
0
1
0
3
7
3
3
4
3
5
4
4
4
4
4
2
0
3
5
3
6
4
4
4
4
4
2
0
3
6
3
7
4
4
4
4
4
2
0
3
7
3
8
4
4
4
3
9
4
4
0
3
3
3
4
3
3
3
4
3
3
1
8
3
8
1
9
3
9
1
5
4
0
4
1
4
2
4
3
4
4
4
4
3
4
4
4
4
5
6
4
3
4
7
3
4
8
4
9
0
1
5
2
5
3
4
4
3
4
5
5
5
6
5
7
4
5
8
4
5
9
6
1
2
4
6
3
4
4
4
3
1
8
4
8
3
4
3
1
6
4
3
1
9
5
3
3
1
5
5
1
5
2
5
3
3
4
1
9
5
6
4
4
1
9
5
7
3
1
7
5
8
3
4
3
1
7
5
9
3
1
7
6
9
6
1
6
2
3
3
3
4
4
4
1
4
4
4
2
4
4
3
4
4
3
6
5
6
5
3
1
8
6
6
6
7
6
8
2
3
0
1
7
2
1
9
7
3
1
7
7
1
4
3
1
7
7
2
4
3
1
8
7
3
3
1
6
7
3
1
9
7
5
1
9
7
6
1
8
7
7
1
9
7
8
3
1
5
7
9
3
1
8
8
3
1
6
8
1
3
1
9
8
2
3
1
5
8
4
3
4
4
4
4
7
7
4
7
8
3
7
9
3
3
4
3
4
4
4
4
3
3
4
3
3
4
3
4
4
3
4
3
4
4
3
3
4
4
4
4
2
4
4
4
4
1
0
4
4
4
3
9
1
4
4
4
1
4
4
3
6
4
6
3
8
4
3
4
1
3
4
4
0
0
4
4
3
4
3
3
4
3
4
3
4
3
3
4
3
3
4
4
3
4
3
3
4
4
4
4
3
5
5
4
4
0
5
4
3
9
8
3
4
0
9
0
1
4
3
5
7
4
5
8
4
4
4
3
5
3
4
4
1
4
7
8
3
4
3
7
8
6
4
4
2
5
4
4
9
8
4
9
2
4
1
8
1
4
4
0
1
3
4
4
8
4
4
8
8
9
4
3
4
1
1
7
7
3
2
6
3
2
4
4
6
2
4
9
4
4
7
6
1
4
4
7
1
3
4
6
1
3
4
6
7
1
4
4
3
0
4
4
5
7
8
4
4
3
1
4
3
4
3
4
6
6
3
3
3
6
4
4
3
3
6
6
3
4
0
4
3
4
3
3
4
3
3
3
4
4
4
4
5
5
3
4
4
4
4
4
5
3
4
4
4
3
6
0
8
9
8
9
0
4
0
3
4
5
8
6
4
4
4
4
8
7
4
4
4
4
8
8
4
4
4
8
9
9
3
0
4
9
1
9
2
4
9
3
4
9
3
3
4
4
6
4
9
7
4
9
8
4
9
9
4
0
3
4
3
3
8
6
1
9
8
7
1
9
8
8
1
5
8
9
4
4
4
2
4
4
4
1
4
4
4
4
4
3
1
8
4
3
1
8
9
4
3
4
5
3
3
0
4
4
9
2
4
4
9
4
3
4
3
4
3
4
3
4
4
2
4
4
3
4
3
4
2
4
3
9
9
0
0
1
2
4
0
7
0
1
7
0
0
9
1
9
2
9
3
4
9
5
9
6
9
7
9
8
9
9
4
4
4
2
3
4
4
4
1
9
1
0
3
1
7
1
0
1
3
4
3
1
7
1
0
2
3
1
8
1
0
3
4
3
1
6
1
0
3
1
9
1
0
5
1
0
1
0
1
1
0
2
1
0
1
0
1
0
5
4
4
1
0
6
4
4
1
9
1
0
6
1
0
7
4
3
4
4
3
1
8
1
0
7
1
0
8
4
3
4
4
3
1
8
1
0
8
1
0
0
4
4
3
3
3
4
4
4
3
3
9
3
1
1
0
1
1
1
1
1
2
1
1
3
1
1
1
1
5
1
1
6
1
1
7
1
1
8
4
1
1
9
4
1
2
4
4
.
5
4
7
4
4
7
3
1
5
7
.
6
0
6
4
.
6
9
7
1
1
3
1
8
1
1
1
3
1
6
1
1
2
3
1
9
1
1
3
1
9
1
1
1
8
1
1
5
1
9
1
1
6
1
5
1
1
7
1
9
1
1
8
3
1
7
1
1
9
3
1
7
1
2
3
4
0
1
5
4
3
4
0
9
1
4
3
3
.
1
3
4
9
0
.
6
1
8
1
3
4
3
4
3
4
4
0
3
4
3
3
7
4
4
3
3
0
3
4
3
0
4
4
3
3
4
3
4
4
4
4
3
3
4
3
3
4
3
4
4
4
3
4
3
4
4
4
4
4
3
4
3
4
0
9
0
4
0
k
i
n
e
r
a
j
i
n
i
o
e
x
e
v
a
r
i
a
b
a
e
l
V
r
i
a
b
e
V
e
1
2
3
4
5
3
3
3
4
3
3
2
3
3
3
3
3
3
3
3
3
3
3
3
2
2
3
3
2
3
2
3
3
n
d
e
n
1
2
3
1
2
3
3
1
5
2
3
1
5
3
3
3
3
3
1
5
3
3
3
2
3
1
5
3
2
3
3
3
1
6
3
3
2
3
3
2
1
7
3
2
3
2
3
3
1
4
8
3
3
2
3
2
3
3
1
4
9
3
3
2
3
2
3
3
3
1
4
3
3
3
3
1
6
1
1
3
2
3
3
1
5
1
2
2
3
2
1
3
3
1
2
1
3
3
3
2
2
3
3
1
3
1
3
2
3
3
3
1
3
1
2
3
3
2
3
4
3
2
3
4
3
3
2
3
3
1
3
3
3
3
3
1
3
3
2
3
3
1
4
2
1
3
3
2
3
3
1
4
2
2
3
3
2
3
3
1
4
2
2
1
3
3
1
1
2
3
3
3
3
3
1
5
2
5
3
3
3
3
3
3
1
5
2
6
3
2
3
3
3
3
3
3
1
5
2
7
3
2
3
3
2
2
3
3
1
3
2
8
2
3
1
3
3
1
2
2
9
4
4
4
4
4
4
4
3
4
4
l
o
6
4
m
p
1
4
j
s
4
2
4
3
1
4
0
3
3
2
2
4
3
3
3
2
6
3
2
3
1
5
1
7
3
2
3
6
1
8
2
3
1
9
3
2
2
4
5
2
0
2
0
3
3
4
3
4
3
3
3
2
2
3
1
3
3
2
3
3
3
3
1
6
3
3
1
3
3
1
3
3
3
4
0
3
5
3
3
4
4
3
3
4
2
4
2
3
3
4
3
4
4
2
3
2
3
1
4
4
3
0
2
4
3
3
3
4
4
3
4
3
4
4
5
1
4
2
4
1
3
4
3
1
3
4
4
3
2
4
3
4
3
3
3
4
4
2
4
4
1
1
4
R
3
4
2
3
3
1
2
2
3
2
3
3
3
1
4
3
6
4
3
2
3
3
3
1
4
3
7
4
3
1
3
8
3
4
3
3
9
3
4
3
2
4
3
4
2
1
4
3
3
4
2
4
3
2
3
1
2
0
3
4
0
4
4
3
3
3
3
2
3
4
3
4
2
2
3
1
3
4
1
2
2
3
3
3
3
1
6
4
2
3
3
3
1
3
3
1
3
4
3
2
2
2
3
4
4
4
4
2
0
4
4
2
4
2
3
3
3
3
1
5
4
5
3
3
3
3
3
3
1
5
4
6
3
2
3
3
3
3
3
3
1
5
4
7
3
2
3
3
2
2
3
3
1
3
4
8
3
3
3
1
2
4
2
3
4
1
4
3
4
4
2
0
9
5
0
4
3
3
4
4
4
4
2
4
2
4
3
2
3
3
1
3
5
1
3
3
2
2
3
1
3
5
2
3
3
3
3
1
6
5
3
3
3
1
3
3
1
3
5
3
2
3
3
2
1
3
5
3
3
2
3
3
1
4
3
3
2
3
3
1
4
3
2
3
3
3
1
4
3
3
3
3
1
6
3
2
3
3
1
5
6
3
3
2
3
3
1
4
6
3
3
2
3
3
1
4
6
2
2
1
3
3
1
1
6
3
3
3
3
3
1
5
6
3
3
3
3
3
1
5
6
5
2
3
2
3
3
3
3
3
1
5
6
6
3
3
2
3
2
2
3
3
1
3
6
7
3
3
2
3
1
3
3
1
2
6
8
3
3
1
9
2
3
2
3
3
2
3
3
4
4
2
4
4
3
4
4
4
1
4
4
4
3
4
2
3
4
0
1
3
3
4
4
4
4
2
3
3
3
4
5
3
4
5
6
3
2
3
5
7
3
2
3
5
8
3
2
3
5
9
2
3
2
3
2
1
3
3
3
2
3
2
2
3
2
3
1
0
4
6
2
4
2
2
4
7
4
2
0
7
1
4
4
4
0
3
4
4
4
3
3
2
3
3
1
4
7
2
3
3
1
3
3
2
3
3
1
4
7
3
3
3
3
3
3
2
3
3
1
4
7
3
3
3
3
3
2
3
3
1
4
7
5
3
2
2
2
2
1
3
3
1
1
7
6
2
3
1
3
3
3
3
3
1
5
7
7
4
3
3
3
3
3
1
5
7
8
4
3
3
3
3
3
1
5
7
9
3
2
2
3
3
1
3
8
2
3
1
3
3
1
2
8
1
2
3
2
8
2
3
3
2
4
4
3
4
4
4
4
2
0
2
3
2
3
3
1
3
8
3
3
2
2
3
1
3
8
3
3
3
3
1
6
8
4
0
4
3
4
3
4
5
4
3
3
3
1
4
4
4
3
3
3
3
1
3
2
3
3
3
4
4
4
3
3
2
8
7
3
3
2
3
8
8
3
3
2
3
3
2
2
3
1
3
8
9
3
3
3
3
3
3
3
1
6
9
3
3
2
3
3
1
3
3
1
3
9
1
3
3
2
3
2
3
3
2
1
3
9
2
3
3
2
3
3
2
3
3
1
4
9
3
2
2
1
3
3
2
3
3
1
4
9
2
3
1
3
3
3
3
1
6
9
5
3
1
3
3
1
3
9
6
2
3
2
3
3
2
4
4
4
4
0
4
2
0
9
7
4
4
3
3
2
3
3
1
4
9
8
3
3
2
3
3
1
4
9
9
2
2
1
3
3
1
1
1
0
3
3
3
3
3
1
5
1
0
1
3
3
3
3
3
1
5
1
0
2
3
3
3
3
3
3
1
5
1
0
3
3
2
2
3
3
1
3
1
0
2
3
1
3
3
1
2
1
0
5
1
0
6
1
0
7
4
4
4
3
4
4
1
4
2
3
4
3
4
4
0
1
2
2
0
1
0
0
4
4
4
4
2
3
2
3
3
2
3
3
3
1
2
3
2
3
3
2
3
3
3
3
1
3
3
3
8
3
3
3
9
3
2
2
3
3
2
0
4
4
4
3
3
2
3
3
1
4
1
3
3
2
3
3
1
4
1
1
3
3
2
3
3
1
4
1
1
1
3
3
2
3
3
1
4
1
1
2
2
3
3
3
3
1
6
1
1
3
3
3
2
3
3
1
5
1
1
3
3
3
3
3
1
5
1
1
5
3
3
2
3
3
3
3
3
1
5
1
1
6
3
2
3
3
2
2
2
3
1
2
1
1
7
3
2
3
3
2
3
3
1
1
1
8
2
3
3
3
1
3
3
1
1
1
9
1
2
4
4
9
0
6
1
2
2
2
8
3
4
3
4
3
3
4
2
4
1
2
3
8
3
3
4
.
3
2
4
0
1
0
.
6
7
9
4
4
2
0
.
8
7
3
4
4
1
0
.
7
4
4
4
8
0
.
7
0
3
2
8
4
3
0
0
4
4
4
3
2
3
3
.
6
7
7
3
4
4
4
4
0
2
4
4
0
4
4
3
7
0
.
5
6
5
9
1
3
0
.
6
4
8
3
b
a
g
1
e
l
s
4
5
j
m
i
a
U
l
o
s
N
i
a
e
U
2
2
1
2
2
1
1
3
1
3
3
1
5
2
2
2
1
3
3
3
3
1
4
3
3
1
4
3
3
1
3
3
1
4
3
3
1
4
h
t
<
1
-
8
6
3
6
-
3
-
h
4
t
4
1
5
h
4
2
0
4
r
s
e
n
t
a
s
e
(
%
)
0
0
5
5
.
0
0
3
2
2
6
.
6
7
1
.
1
0
2
1
6
7
1
0
n
5
4
4
6
1
.
7
6
4
7
2
a
e
n
1
d
i
d
i
k
a
n
e
s
2
p
0
o
n
1
d
e
n
P
e
r
s
0
e
0
n
t
a
s
e
(
%
)
R
<
1
M
U
9
7
5
.
0
0
3
S
1
8
2
6
8
.
3
3
3
3
S
2
1
6
1
3
.
3
3
3
S
3
3
1
2
3
1
2
2
1
3
2
1
3
3
2
1
3
3
2
1
3
2
1
1
2
3
3
1
3
3
3
1
7
1
3
3
1
6
2
3
3
1
7
3
3
3
1
6
3
3
1
6
3
3
1
6
3
3
1
4
3
3
1
4
3
3
1
3
3
1
3
3
1
5
2
3
3
1
7
3
2
3
1
2
S
2
2
4
a
5
i
n
0
y
n
1
o
t
P
e
k
e
r
a
a
n
e
j
P
e
a
a
l
a
i
u
b
r
p
o
n
a
h
a
d
e
n
P
e
r
s
3
n
0
e
3
3
0
n
t
a
s
e
4
s
t
T
(
%
)
6
7
3
7
4
.
1
6
7
1
3
1
0
.
8
3
3
2
1
2
9
a
a
y
n
1
.
9
n
g
g
4
a
1
i
0
8
.
3
3
1
a
1
t
0
0
.
0
0
0
a
1
l
e
8
.
1
8
m
a
P
0
n
l
o
0
0
5
a
w
s
u
o
0
r
w
a
a
R
T
1
2
j
y
r
s
W
5
0
1
R
K
I
3
1
N
4
0
.
1
a
l
o
0
3
a
l
T
6
e
n
N
4
P
6
1
h
l
P
n
6
0
5
o
3
5
o
e
n
0
t
T
d
n
5
5
>
5
n
n
h
5
t
4
o
0
2
t
2
p
8
t
1
s
R
n
d
a
p
a
t
a
n
e
N
s
2
p
0
o
n
1
d
e
n
P
e
r
0
s
0
e
0
.
n
0
t
a
0
s
e
(
%
)
R
p
4
<
1
3
R
0
0
0
.
p
0
0
0
0
0
.
0
.
0
-
0
0
-
0
7
R
4
R
.
0
0
.
0
0
0
.
0
.
0
0
-
0
3
1
7
5
3
2
1
3
6
3
3
1
3
3
1
8
1
7
1
1
3
3
1
7
2
1
2
R
0
0
0
.
6
R
p
4
0
0
.
0
0
0
.
0
0
0
0
1
3
1
1
6
2
5
2
3
6
3
1
.
0
.
0
0
0
.
0
0
0
0
0
.
0
0
0
0
0
>
0
-
0
2
4
2
4
8
R
T
3
9
1
5
p
6
8
R
9
8
2
p
3
1
p
4
R
0
p
7
R
p
4
0
p
3
R
p
4
0
o
t
0
.
0
0
.
0
0
0
0
0
a
l
1
2
0
1
0
0
3
2
1
3
3
1
3
1
5
3
3
1
3
3
3
1
7
2
3
1
3
3
3
1
3
3
1
6
3
1
3
1
7
3
1
7
3
1
4
2
3
4
3
2
4
4
2
4
4
4
1
8
2
1
1
3
3
3
1
7
2
2
1
2
3
2
1
3
2
3
1
3
3
3
1
3
3
2
1
3
3
1
5
3
3
1
3
3
3
1
2
4
4
2
4
0
3
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
3
1
5
3
3
1
5
3
3
1
3
3
3
1
2
4
4
2
0
3
3
1
6
3
3
1
3
4
4
2
0
3
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
2
1
3
3
3
1
4
3
3
1
4
3
3
1
4
3
3
1
3
3
1
4
3
3
1
4
3
3
1
4
3
3
1
1
3
3
1
2
4
4
2
3
1
3
2
3
1
3
4
2
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
3
1
5
3
3
1
5
3
1
3
1
5
3
4
4
2
0
2
4
3
1
4
2
3
1
2
2
1
3
2
1
3
3
2
1
3
3
2
1
3
2
1
1
2
4
4
2
3
6
6
1
9
9
8
0
3
3
.
0
3
4
0
5
3
0
.
6
1
1
2
1
2
4
0
6
b
a
g
b
a
g
2
3
T
o
o
p
o
i
f
N
n
d
F
r
e
u
k
e
n
s
i
P
e
r
s
e
n
t
a
s
e
(
%
)
M
o
N
e
x
1
u
F
t
i
e
4
E
7
3
9
.
1
9
3
2
.
5
6
7
2
2
v
n
i
o
I
2
3
0
0
4
1
v
t
3
o
h
p
e
r
e
9
e
4
s
m
A
s
p
e
r
i
n
9
a
i
n
y
n
.
5
.
5
2
2
e
V
5
7
7
0
3
a
1
L
T
o
t
6
1
3
3
.
3
3
9
4
a
1
l
2
0
1
0
0
5
6
o
r
B
a
n
d
e
N
a
F
F
l
R
e
x
1
u
F
t
i
r
e
u
k
e
n
s
i
P
e
r
s
e
n
t
a
s
e
(
%
)
l
e
E
3
6
3
3
2
2
1
1
1
2
0
0
.
0
0
1
0
v
n
i
o
I
2
6
6
.
6
7
8
v
t
3
o
e
4
s
h
p
e
r
e
m
A
s
p
e
r
i
n
a
i
n
y
n
.
1
6
7
2
e
V
5
9
1
0
2
4
0
.
0
0
2
a
2
L
T
o
t
1
l
r
B
P
o
i
a
n
h
i
N
9
1
.
6
7
1
5
a
a
d
r
n
e
w
a
J
o
F
2
0
1
0
0
g
a
b
a
n
F
r
e
u
k
e
n
s
i
P
e
r
s
e
n
t
a
s
e
(
%
)
o
N
l
a
1
Y
T
i
d
a
T
o
t
9
3
7
7
.
5
0
0
2
7
2
2
.
5
0
0
3
2
1
5
2
k
2
a
l
u
b
1
n
w
a
a
r
2
0
1
0
0
o
e
N
u
o
N
S
b
e
r
i
n
o
f
r
a
m
s
i
F
r
e
o
u
s
k
a
I
2
T
e
a
i
P
e
r
s
e
n
t
a
s
e
(
%
)
r
a
4
3
0
7
t
i
n
3
.
3
3
3
.
1
6
7
1
2
4
.
8
3
3
.
6
6
7
1
1
o
y
n
4
1
1
2
N
a
3
o
6
3
0
0
.
0
0
1
7
1
a
1
l
y
1
1
a
k
1
7
n
L
T
6
1
3
o
5
1
n
K
4
r
s
n
m
e
n
1
l
3
o
e
r
1
N
u
k
m
r
B
g
p
n
M
g
s
r
n
g
d
l
i
b
e
i
F
r
e
0
u
k
1
e
n
s
i
P
e
r
s
e
0
n
0
t
2
a
s
e
(
%
)
o
N
l
n
i
o
I
1
2
3
2
2
6
.
6
6
7
1
1
6
2
v
e
x
2
u
F
t
i
e
E
3
4
2
8
.
3
3
3
1
4
1
1
.
6
6
7
1
4
1
1
.
6
6
7
2
1
.
6
6
7
1
v
e
3
s
t
4
p
e
r
i
n
e
V
o
s
h
p
e
r
e
m
A
a
5
i
n
n
y
o
2
t
6
a
l
6
a
L
T
1
1
2
0
1
0
0
1
3
o
a
N
A
a
r
g
s
a
a
t
e
r
a
H
1
F
n
r
e
n
g
k
a
i
K
2
t
a
P
s
b
a
u
g
d
e
e
l
r
o
n
a
r
i
s
i
p
r
o
u
d
a
i
n
y
n
o
t
o
e
r
y
k
e
r
s
e
n
t
a
s
e
(
%
)
1
6
1
3
.
3
6
3
3
1
2
5
.
1
8
1
5
.
1
9
1
5
.
3
3
3
3
0
0
.
0
8
0
3
1
3
3
9
0
0
0
8
8
3
3
4
a
1
l
N
P
a
L
T
i
k
m
5
s
k
m
o
4
n
s
l
o
M
3
e
u
a
j
u
u
k
l
g
i
n
g
i
n
d
i
M
b
e
i
F
r
e
2
0
u
k
1
e
n
s
i
P
e
r
s
e
0
n
0
t
a
s
e
(
%
)
l
n
i
o
I
1
3
6
3
3
5
2
1
1
1
2
1
2
6
2
0
0
.
0
0
1
2
v
u
F
e
x
t
i
e
E
2
9
1
.
6
7
6
v
e
3
s
t
e
o
A
4
p
r
i
n
e
V
s
h
p
e
r
m
a
i
n
n
y
T
o
t
.
1
6
7
0
0
.
1
0
6
.
0
6
a
l
3
4
a
L
5
9
e
1
2
0
1
0
0
7
1
2
3
n
i
o
x
I
e
u
c
t
i
o
s
i
a
s
e
E
v
s
v
P
i
e
r
s
e
n
t
a
s
e
(
%
)
P
e
r
s
e
n
t
a
s
e
A
J
e
s
a
i
n
o
g
o
e
l
D
y
a
a
N
n
a
r
i
k
p
e
h
r
a
t
i
a
r
w
a
b
n
d
i
p
5
a
k
a
g
a
t
e
r
a
n
l
o
k
a
s
t
m
g
i
i
k
r
k
p
t
g
s
e
u
n
a
e
r
k
a
u
n
l
e
n
d
h
a
d
i
a
m
n
g
k
T
o
t
i
p
e
u
n
a
a
j
L
u
n
l
d
h
a
d
i
m
T
a
n
g
k
a
u
7
6
3
5
2
.
5
9
3
.
3
3
3
9
8
8
1
.
6
6
7
6
1
.
6
6
7
8
6
7
1
.
6
6
7
6
8
.
3
3
3
6
7
5
5
.
8
3
3
5
9
5
.
8
3
3
1
2
0
1
0
0
.
0
0
0
2
9
3
.
3
3
3
1
2
0
1
0
0
.
0
0
0
1
2
0
2
1
1
1
1
2
0
2
2
i
3
3
1
3
2
9
2
3
2
2
2
6
3
7
3
2
3
7
e
r
s
e
n
t
a
s
e
(
%
)
e
(
%
)
l
1
d
a
1
o
t
5
9
e
r
5
8
.
3
3
k
4
.
1
6
7
a
k
t
1
e
r
k
e
n
a
2
0
1
P
J
M
l
m
e
r
s
e
0
n
0
t
a
s
l
a
Y
T
i
d
a
1
1
1
2
2
9
3
o
t
i
p
e
u
n
a
a
j
3
3
6
.
6
6
7
a
l
L
3
.
k
8
T
u
n
l
d
h
a
d
m
i
a
n
g
k
a
u
0
1
P
J
j
m
e
r
s
e
0
n
0
t
a
s
e
(
%
)
a
s
e
(
%
)
l
a
1
Y
T
i
d
a
2
0
1
0
o
t
r
0
a
1
l
e
0
k
0
T
k
t
e
r
k
M
e
n
a
2
0
1
P
J
l
m
e
r
s
e
0
n
0
t
l
a
1
Y
T
i
d
a
2
0
1
o
t
2
0
1
0
0
k
0
T
0
a
l
1
5
3
P
J
m
l
s
a
6
5
a
y
1
a
k
n
.
2
1
j
Y
T
o
a
9
4
2
s
b
a
l
a
a
0
0
u
a
j
l
k
w
a
M
o
a
i
8
j
e
n
l
L
J
u
a
u
f
a
4
1
7
u
e
y
i
j
d
M
n
9
1
H
o
a
n
m
m
a
a
0
0
4
(
%
)
b
a
g
k
4
e
p
e
n
t
i
n
g
a
n
a
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
e
n
t
i
n
P
g
e
n
t
i
n
g
N
P
o
d
e
p
M
1
a
k
a
i
a
n
e
l
P
r
o
u
d
n
a
r
i
e
n
t
b
e
r
a
r
i
n
g
k
0
m
k
i
a
s
0
4
2
4
9
i
1
2
3
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
0
l
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
1
3
8
k
l
e
a
k
e
s
u
e
K
5
e
m
r
u
h
a
0
0
0
0
4
0
n
l
T
P
T
+
6
9
P
P
+
S
P
o
e
r
y
n
a
t
a
a
n
N
u
J
o
d
e
p
M
1
a
k
a
i
a
n
e
l
P
r
o
u
d
n
a
r
i
b
e
r
a
r
i
P
e
r
s
e
n
t
s
s
(
e
%
)
J
u
h
a
m
l
k
0
a
a
l
m
k
h
a
m
0
1
2
0
i
4
2
3
.
3
3
3
1
1
6
.
8
3
3
1
1
9
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
a
k
e
s
u
e
r
u
h
a
n
e
r
j
0
0
1
2
0
0
0
1
2
0
n
l
i
0
k
l
e
k
1
l
K
5
e
m
i
a
n
v
i
a
o
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
u
a
P
s
u
a
s
N
P
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
u
b
e
r
a
r
i
s
k
0
m
k
a
a
s
1
7
8
3
2
9
7
6
i
1
2
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
2
l
0
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
4
0
4
6
k
l
e
a
k
e
s
u
e
K
5
e
m
r
u
h
a
0
8
9
2
0
2
9
8
n
l
2
T
1
P
9
T
+
6
3
P
P
S
P
o
e
r
y
n
a
t
a
a
n
N
u
J
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
b
e
r
a
r
i
1
a
s
P
e
r
s
e
n
t
a
s
(
e
%
)
J
u
h
a
l
m
l
k
m
k
h
a
m
7
1
4
1
.
7
1
0
3
i
2
3
0
2
6
0
5
5
.
0
0
9
0
.
0
0
6
0
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
e
t
a
s
p
r
o
u
d
l
e
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
0
k
l
a
k
e
K
5
d
m
s
u
e
r
u
h
a
8
6
.
6
7
1
1
2
2
1
.
6
7
1
1
8
n
l
e
x
e
a
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
u
a
s
P
u
a
N
P
o
1
d
e
p
M
P
a
k
a
i
a
n
e
l
r
o
d
u
m
k
b
e
r
a
2
v
r
i
a
s
n
a
r
i
u
a
9
s
k
0
1
8
8
0
1
8
8
3
i
4
s
5
+
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
1
l
1
r
a
p
h
i
a
n
p
r
o
4
0
u
d
k
s
e
a
c
r
2
5
2
6
8
1
5
8
1
k
l
e
a
k
e
s
u
e
K
5
e
m
r
u
h
a
4
n
6
l
1
T
7
P
1
T
+
1
8
9
3
P
P
S
P
o
e
r
y
n
a
t
a
a
n
N
u
J
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
b
e
r
a
r
i
a
s
P
e
r
s
e
n
t
a
s
(
e
%
)
J
u
h
a
l
m
l
k
m
k
h
a
m
1
8
1
1
8
5
3
2
6
2
2
1
1
5
.
0
.
0
0
1
0
2
i
2
1
5
0
1
0
2
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
l
e
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
a
k
e
s
u
e
r
u
h
a
b
l
m
m
a
n
i
4
.
1
7
6
1
.
6
7
9
7
.
5
7
4
n
l
s
4
k
l
K
5
e
m
0
9
9
p
a
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
e
n
t
i
n
g
P
e
n
t
i
n
g
N
P
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
e
n
t
b
e
r
a
r
i
n
g
k
0
m
k
i
a
s
0
1
3
3
1
5
1
i
1
2
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
d
n
s
i
s
t
e
n
s
i
u
k
a
i
t
a
s
p
r
o
u
d
0
l
e
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
1
5
0
0
1
6
0
0
1
7
k
l
a
k
e
s
u
e
K
5
e
m
o
K
4
r
u
h
a
n
l
a
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
u
a
s
P
u
a
s
a
s
N
P
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
u
b
e
r
a
r
i
s
k
0
m
k
a
a
s
3
3
0
i
1
2
1
2
2
1
1
6
2
7
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
4
l
e
r
a
p
h
i
a
n
p
r
o
1
4
k
0
l
u
d
k
s
e
a
c
r
a
k
e
s
u
e
K
5
e
m
r
u
h
a
3
n
0
l
a
n
g
0
a
T
t
i
d
a
3
0
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
u
a
s
P
u
N
P
o
1
d
e
p
M
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
b
e
r
a
r
i
a
s
k
0
m
k
u
a
s
2
3
4
i
0
2
1
3
3
2
3
8
2
9
5
2
8
v
e
3
s
e
u
s
a
i
a
h
n
a
r
o
d
e
n
g
a
n
o
K
d
e
n
s
i
s
t
e
n
s
i
u
k
a
i
t
a
s
p
r
o
u
d
1
l
r
a
p
i
h
a
n
p
r
o
d
0
u
k
s
e
c
a
r
a
1
1
k
l
e
5
a
m
K
4
g
K
k
e
s
u
e
l
r
u
h
a
n
3
9
0
+
b
a
g
w
a
J
a
b
a
n
5
t
r
i
u
b
X
t
f
X
f
A
e
S
a
n
g
a
P
t
e
n
t
i
n
T
g
o
t
u
a
l
l
4
2
3
9
2
a
S
l
e
r
i
n
g
S
w
i
t
h
c
e
3
4
2
4
2
1
2
6
r
S
a
J
7
8
6
7
8
1
1
2
0
1
2
0
1
2
0
1
2
0
1
2
0
r
T
i
a
d
n
g
a
k
p
e
r
n
1
T
o
0
1
t
8
5
0
1
5
a
a
1
r
a
t
2
0
3
1
3
a
-
R
t
5
t
1
l
a
8
0
h
a
a
n
d
a
r
e
S
i
a
s
i
D
v
P
e
r
s
e
n
t
a
s
w
e
i
t
h
c
e
r
S
P
+
S
P
e
r
s
e
n
t
a
s
e
(
%
)
t
1
0
r
i
u
b
w
a
J
a
b
a
n
X
t
f
X
f
0
A
a
9
6
.
6
6
7
9
9
.
1
6
7
b
i
u
t
0
1
0
0
a
t
s
e
u
t
u
j
e
u
t
u
y
4
2
8
1
1
2
5
1
3
5
u
S
e
j
3
4
r
T
0
g
a
l
b
1
n
S
a
H
i
d
a
k
s
e
u
t
u
2
j
a
n
g
a
t
t
i
d
a
k
s
e
u
t
j
o
t
a
t
7
2
1
1
1
1
1
a
l
a
r
1
a
t
2
0
3
3
0
a
-
R
t
6
u
S
T
3
a
n
d
a
r
e
S
i
a
s
i
D
v
a
n
g
a
P
t
u
a
T
s
o
t
a
S
l
P
e
r
s
e
n
t
a
s
w
e
i
t
h
c
e
r
S
2
0
1
4
1
4
2
0
2
0
1
2
0
1
2
0
1
2
0
1
2
0
1
2
0
r
i
u
b
a
b
a
n
X
t
a
8
w
a
J
t
f
X
f
A
8
n
g
a
t
u
p
a
s
S
4
P
u
a
1
t
i
s
i
f
e
5
2
%
3
a
3
s
7
1
0
0
0
.
0
2
1
3
d
S
P
+
T
S
i
d
a
k
u
p
a
s
2
u
b
P
e
r
s
e
n
t
a
s
e
(
%
y
e
)
a
n
g
a
t
t
i
d
a
k
u
p
a
.
8
5
.
0
0
.
0
0
o
t
l
t
a
0
6
6
r
1
a
t
2
0
3
3
1
a
-
R
t
5
0
a
3
a
7
6
s
1
T
5
0
r
S
8
3
a
n
d
a
r
e
S
i
a
s
i
D
v
P
9
3
.
3
3
9
8
.
3
3
e
r
s
e
n
t
a
s
w
e
i
t
h
c
e
r
S
J
t
r
i
u
b
a
w
a
b
a
n
X
t
f
X
f
A
a
n
g
a
P
t
u
a
s
T
o
t
a
S
l
a
n
g
a
t
u
s
k
S
i
k
i
n
g
h
t
a
4
1
9
3
6
6
2
2
7
7
6
e
u
k
a
L
1
9
1
8
1
2
0
1
2
0
S
b
r
a
n
1
9
8
d
T
i
d
a
k
s
u
k
a
5
4
a
1
6
1
2
0
1
2
0
1
2
0
n
g
a
t
t
i
d
0
o
1
t
t
k
a
4
8
8
a
a
r
1
a
t
2
0
3
3
6
a
-
R
t
7
u
s
l
a
1
k
1
T
1
a
S
a
n
d
a
r
e
S
i
a
s
i
D
v
P
e
r
s
e
n
t
a
s
w
e
i
t
h
c
e
r
S
P
+
S
P
e
r
s
e
n
t
a
8
5
.
0
8
5
.
0
5
5
.
s
(
e
%
)
0
w
a
J
a
b
a
n
0
t
8
r
i
u
b
X
t
f
X
f
3
A
e
7
8
3
.
3
i
C
8
2
5
.
t
t
e
l
l
4
e
r
i
n
u
y
e
a
r
T
i
a
d
n
a
k
p
e
r
n
t
t
a
r
t
a
a
n
d
a
r
e
i
a
s
i
D
v
P
t
e
n
t
i
n
g
T
o
t
a
l
P
e
r
s
e
n
t
a
s
w
e
S
2
4
1
8
2
1
2
1
2
a
n
g
0
a
t
P
u
a
s
T
3
7
3
7
3
7
3
7
3
7
o
t
a
S
l
4
3
3
7
7
a
n
g
a
t
P
u
a
s
T
3
7
3
7
3
7
3
7
3
7
o
t
a
S
l
1
3
2
0
1
3
7
3
7
3
7
3
7
3
7
3
1
6
3
2
1
1
8
1
8
1
a
-
R
t
S
a
6
2
1
8
9
a
l
g
3
h
a
o
a
n
2
g
T
a
9
r
J
S
3
g
S
b
2
d
m
0
u
a
S
o
i
t
c
h
e
r
2
0
3
3
1
n
i
o
I
v
X
²
f
5
2
1
9
7
1
6
6
²
1
6
4
0
9
0
X
f
4
²
%
3
6
8
5
1
8
.
3
1
3
7
8
5
3
2
.
3
9
.
3
1
6
0
2
2
5
5
3
4
2
.
0
.
0
1
0
0
.
0
0
0
f
2
2
4
5
1
1
1
1
8
5
9
2
.
2
.
6
2
2
1
1
1
1
.
2
3
9
9
0
0
x
f
2
7
-
x
f
2
f
x
n
f
2
/
8
-
/
1
6
.
4
0
8
3
1
1
8
1
8
1
8
1
8
1
4
1
%
5
4
1
.
7
n
i
o
I
v
7
2
X
²
f
8
4
0
1
2
1
1
2
5
9
6
2
4
²
6
9
4
1
2
2
X
f
4
8
3
2
4
0
5
2
8
4
1
7
7
1
8
0
4
.
0
0
0
9
.
2
9
1
1
.
0
0
0
2
.
8
6
1
9
.
0
0
0
7
0
0
.
0
1
0
0
8
.
7
6
2
3
0
5
4
.
4
1
1
.
%
4
1
6
2
²
8
.
4
5
%
6
0
8
.
3
n
i
o
I
v
1
5
X
²
f
6
9
0
4
9
²
1
6
1
0
9
0
4
f
X
2
²
0
6
3
1
2
%
8
1
9
3
0
2
9
9
6
7
4
.
1
.
8
5
.
9
9
2
3
3
2
3
0
.
.
0
0
0
0
8
.
1
0
8
3
3
3
0
1
3
6
6
1
6
4
6
9
2
.
7
6
7
.
3
2
3
7
3
7
.
6
3
0
0
4
%
7
0
.
0
0
n
i
o
I
v
3
4
6
3
7
X
²
f
1
5
2
²
1
6
6
9
9
4
f
3
X
²
0
5
1
9
0
%
4
1
9
4
.
8
7
4
3
8
0
.
7
7
8
6
9
.
2
3
2
3
2
3
.
.
0
8
0
0
0
0
0
.
4
5
6
5
4
5
1
1
8
0
1
2
3
8
.
0
1
4
1
.
6
3
5
0
0
8
.
1
5
4
%
7
0
8
.
3
n
i
o
I
v
5
2
3
5
X
²
f
9
6
2
5
3
2
0
9
1
X
f
6
9
3
9
6
5
6
6
1
8
.
7
.
7
6
4
9
%
7
1
.
6
7
0
%
8
5
7
8
4
7
8
1
1
1
2
²
6
4
4
7
²
8
1
0
2
7
5
.
5
.
0
8
1
f
.
0
9
8
1
4
0
7
3
9
0
.
0
1
.
5
0
0
1
1
8
0
8
1
.
0
0
0
.
4
7
5
1
8
n
a
t
a
0
l
0
1
1
9
9
0
4
4
2
3
5
b
u
2
m
e
P
1
5
5
l
3
3
0
8
5
4
1
e
8
6
9
6
9
m
9
2
1
p
8
.
.
9
a
0
.
1
.
3
.
9
3
S
4
2
5
i
6
3
1
9
7
9
s
3
0
9
6
r
4
9
3
5
0
o
0
9
9
9
2
1
1
1
2
p
o
0
.
0
P
.
0
.
0
.
0
.
r
k
d
u
d
u
4
4
8
2
5
5
8
4
0
6
8
8
1
6
8
1
1
n
3
2
0
9
7
3
3
8
6
3
5
9
e
2
1
l
p
m
j
4
8
g
l
.
2
n
n
g
2
d
u
a
n
9
t
i
d
u
k
a
1
n
m
a
u
a
r
B
g
a
e
B
l
o
c
g
n
g
n
r
l
K
e
n
l
o
m
u
b
g
o
j
o
j
u
U
R
e
C
B
o
o
S
u
4
1
m
2
3
5
o
4
$"#
&' '#
%"#
)
(
*
+
,
,
&%"
.
$% !#
%' /#
// !#
0$
,/"#-
/& '/#
,'" 1$#-
/" 1$#,!( &/#-
2
*
*
Universitas Kristen Maranatha
!
% &
(
'
)*
+
"
"
,),"
-
,.,
/
" )
%
"
#
$
"
#
$%
"
#
$%
"
#
$%
$(
, "
$(
0
%
!
%$
%%
%$+
%(
, "
%$/
%+
& 1, 2
%-
""
%/
%$3
& 1, 2
) " 5& ) "
%$ 4
& 1, 2
%$ %
%/
%$ %
%/%
%$ +
%/(
%$ -
%/+
%$ /
%/+
%7
%7
, !"
68, " &
68, "
& 62
)8
2
%$ /
% $ %4
% $ %4
Universitas Kristen Maranatha
%7%
)8
% $ %4
%7(
)8
%7+
!
,
%9
!, ,
%9
,
)8
% $ %+
&
" ,)
% $ %+
!, ,
%9%
% $ %+
* !
!, ,
%3
% 4%
% $ %7
*
% 4 : & "
*
"
% $ %3
% $ %3
%$(
; ; ;
(%
!
(( &
'
"
)*
"
,),"
(/
(7
" ,)
" ,)
& #, ,
(-
"
" ,)
(
(+
% $ %/
!,)8,
% 4: & " &
(
%$%
($/
#
($7
"
#
($7
#
($7
,.,
. ,
($7
,"
,
(3 :
#
"
"
",& &
(9
"
($/
($9
:
* 5
*
($3
& " 6 " ,
( 4
)8
(
,
( %
!
0,) #
2 *
($3
($ 4
)8
, "6
($ 4
.
6*
($
( (
. : & " , "6
($
( +
.
($ %
*
( -
2 *
( /
!6 #
( 7
""
( 9
" )8,
" , "6
, "6
.,
($ (
($ (
($
&
($
+
+
!,)8,
+$
Universitas Kristen Maranatha
+
.
+
%
+%
"
#
!
," #
, , ;!
" "
8 , "
+(
),)
+(
+$
+$%
, "6
& #, ,
"86 &
+$+
+$-
"
+$-
+(%
&&
+$-
+((
.
+$/
+(+
& 8
+$/
++ <
""
++
68 6'
", "
+$/
&
+$7
++%
&
=
+$7
++(
&
=6!
+++
&
<
6
+$7
+$9
+-
+$9
+/
+$3
+7
+$
+9
+$ %
-
;
-
. :
& "&
*
-
. :
&
"
-
% . :
&
"
-%
.
-(
*
"
& <
-$
-$
"
-$%
-$(
""
-(
-$+
-$-
-(
!
-("
!
-($
%
-+
"
-$#
-$/
-$/
-$7
--
-$
-/
-$ 7
-/ &
-$ 7
Universitas Kristen Maranatha
-/%' (
-$ 9
-/(&
-$ 3
-/+
) #
- $ %4
-/-*
-$%
-//
2 ! ) , .,
-7
-9
(
- $ %%
- $ %+
",
- $ %-
/
/
" )8,
/$
/%
;
/$%
;
0
Universitas Kristen Maranatha
-
( !
6
6
! !"
# !$
! !"
# !% !
! !"
# !% # & !
! !"
# !% !
# !
6
6
!
6
6
6
6
' (
6
)!* (
! # )!
-
%
!+ ,
6
!. ! ( !
!
-
!. ! ( !
6
. ! & )!
%
!
6
6
. ! & )!
6
.! & + ,
6
%
!
.! & + ,
6
/
# 0 !1
!1
!1
6
2
!( ( 3
#
6
/
# 0 !1 !1 !
4 #
/
4 #
% !&
6
! )!
6
# )!
% !&
6
!+ ,
6
/
#+ ,
-
% !1 & !
$& 5
.
-
% !1 & !
$& 5
. ! & )!
6
-
% !1 & !
$& 5
.! & + ,
6
6
! !1 !
6
6
6
6
' (
)!* (
6
Universitas Kristen Maranatha
)!
6
+ ,
6
!1# .
!/
!1# .
!%
!1# .
!.
!1# .
!. !
!1# .
!.
.
(
% #
!/ !
#
6
#"
6
!- 1
! .
3 !%
!1 ! /
6
%
#
6
#' ,
.
3 !
6
!
6
)!
6
)!
6
)!
6
!"
)!
6
# $$
)!
6
/
# 0 !1
!1
2
!( ( 3
/
# 0 !1 !1 !
!1
6
# )!
6
6
4 #
% !&
! )!
6
4 #
% !&
!+ ,
6
%
/
# )!
6
%
/
#+ ,
6
%
! !1 !
6
%
! !1 ! 2
6
Universitas Kristen Maranatha
'
*+
*,
*
* *
*
*
*
!"
#
!"
#
!"
#&
'
!"
#&
&
!"
#&
*
$ %
#
*
(
*
)
&
#
.
.
Universitas Kristen Maranatha
!
#
#
#
#
#
!
" ""
#
Universitas Kristen Maranatha
!"
"
#
"
#"
"
#
"
$
!
%
" "
&
!"
'
("
L
1
-
1
)
./.012
2!
*
"
+,
"
-
.
- 3"
4&.5. - 6 "
. 4.5
.
-7"
8
"
!"
"
#
"
#"
#
"
"
$
2
-
- +, "
9 ,,:;
- ?<
% $
%!
&%
%
5 &
6%%%%%%%%%%%%%%%
'%
/% "
%
#
&
=> ?
&% ABAC
>A
<
%
"?42(A A
%
5 &
6%%%%%%%%%%%%%%%
5 &
6%%%%%%%%%%%%%%%
'% >A42A =A
,% @
=> ?
& <
% (
&% !
%2
&
%
'% "
:% 4
&
&
<
%
=> ?
&% ABAC
>A
'% >A42A =A
%
"?42(A A
%
5 &
6%%%%%%%%%%%%%%%
!
2
.
%
$2
" #
&
&
.
# &
7
&
# &
&
#
%
' (
=
=> ?
2
ABAC
>A
2
=
.
9
/
,
(
"
;
"
)
" #
$
#
)
@
# &
4
&
2
2
5426
526
2
4
5 26
2
&
9
&
.
&
&
54 26
* +
*
=
2
"
&
#
# *"
#
2
, *
5
6
#
.
9
.
9
.
!
.
9
9
!
.
9
!
/
2
!
9
'
.
9
*" )
@
# &
4
2
5426
2
526
2
5 26
4
&
9
&
.
&
2
&
54 26
*,
*,
*"
0
*"
. /
* +
#
"
2
5
!
#
#
9
.
9
.
9
.
9
.
9
.
9
.
9
.
9
.
9
.
9
.
#
&
6
.
!
9
!
'
/
1
2
) 2
&
# &
/
&
9
7
%
' (
# &
%
S
e
b
e
r
a
p
a
s
e
r
i
n
g
A
n
d
a
m
e
n
g
g
u
n
a
k
a
n
m
e
r
k
I
N
V
I
O
k
a
r
e
n
a
f
a
k
t
o
r
h
a
r
g
a
?
1
T
i
d
a
k
A
p
p
a
e
k
r
a
n
a
h
h
J
A
n
d
a
s
e
t
u
j
u
b
a
h
a
r
w
a
n
a
g
A
S
n
d
a
m
e
n
g
g
u
n
a
k
a
n
e
r
m
i
e
n
r
g
k
S
I
N
V
I
O
k
a
r
e
n
a
k
e
b
i
e
a
l
s
a
l
a
u
a
n
?
2
S
a
n
g
a
A
t
t
p
i
a
k
d
a
a
k
h
s
A
e
n
t
u
d
j
u
a
T
m
e
n
g
g
u
n
i
a
k
d
a
a
k
s
n
m
e
t
e
u
r
j
u
k
I
S
N
V
I
O
k
a
r
e
n
a
p
e
u
t
a
u
s
j
t
u
e
S
r
h
a
d
a
p
k
u
a
l
i
t
a
s
a
n
p
r
g
o
a
d
t
s
u
e
k
t
n
u
y
j
u
a
?
3
S
a
n
g
a
t
t
i
d
a
k
p
S
a
n
g
a
t
t
i
d
a
k
s
u
a
s
T
A
i
p
d
a
a
k
k
a
p
u
h
a
A
n
s
d
P
a
m
e
n
y
u
k
a
i
m
e
r
u
a
k
I
s
N
V
I
O
S
a
n
g
a
t
p
S
a
n
g
a
t
s
u
a
s
?
4
u
k
A
a
p
T
a
k
a
h
A
n
d
a
i
d
a
m
k
e
s
u
m
k
p
r
a
o
S
m
o
s
i
k
a
n
p
r
o
d
u
k
I
u
k
N
a
V
I
O
k
e
o
r
a
n
g
l
a
i
n
u
?
5
T
i
d
a
k
p
e
r
n
a
h
J
a
r
a
n
g
S
e
r
i
n
g
S
e
l
a
l
u
k
a
i
n
v
i
o
e
i
V
e
s
p
o
n
d
e
a
r
e
a
x
e
l
i
b
V
n
e
1
2
3
4
5
1
3
3
3
4
3
2
3
2
3
3
3
3
3
3
3
3
3
3
3
3
3
5
3
2
2
2
3
6
3
3
2
3
3
3
2
3
3
2
R
s
p
o
n
d
e
a
r
e
a
l
b
n
1
2
3
1
2
3
3
4
2
5
2
2
3
3
2
1
3
3
3
3
3
3
3
3
3
2
2
5
3
2
3
3
3
6
3
3
2
3
3
3
2
3
3
R
4
4
4
7
1
8
3
3
2
3
3
8
3
3
2
3
3
9
3
3
2
3
3
9
3
3
2
3
3
3
2
3
3
3
1
3
3
2
3
3
1
1
1
2
2
3
3
1
3
3
3
1
2
3
2
3
3
3
3
2
1
3
3
1
3
2
2
3
3
1
3
3
1
5
3
1
6
4
1
5
3
2
3
1
6
3
1
2
3
2
3
1
4
0
1
1
3
4
4
4
3
1
2
4
2
2
3
3
2
2
3
2
3
2
3
2
3
3
2
3
2
3
3
2
8
2
3
2
1
9
3
3
3
3
3
1
8
3
2
3
9
3
3
2
3
3
1
3
3
3
3
3
2
0
4
4
1
0
3
1
3
3
2
3
3
2
1
2
3
3
2
3
3
2
2
2
3
3
3
2
3
3
2
3
2
4
4
3
4
3
4
3
3
4
3
3
3
3
4
3
3
3
2
2
1
3
3
2
3
3
3
3
3
2
5
3
2
6
3
3
3
3
3
2
6
3
2
3
3
2
3
3
3
3
3
3
3
2
8
3
2
2
3
3
2
8
2
9
2
3
1
3
3
2
9
4
4
7
0
3
2
3
3
3
4
5
6
4
4
8
9
1
4
2
3
3
3
3
3
3
3
3
2
3
3
4
3
0
2
3
3
3
3
2
3
4
2
3
4
3
3
1
3
3
2
2
3
3
2
3
4
2
3
3
3
3
3
3
3
4
3
3
1
3
3
3
4
4
4
4
4
3
4
3
5
3
2
3
3
3
3
6
3
2
3
3
3
3
4
3
3
4
2
4
4
4
1
3
2
2
3
3
3
3
4
3
3
3
3
4
7
2
4
0
4
3
3
7
3
3
3
2
4
3
3
3
3
3
3
3
4
4
2
4
4
3
3
4
7
4
1
2
4
5
2
4
2
4
2
3
4
3
2
3
4
2
3
4
7
2
4
4
4
3
2
2
4
4
7
1
4
7
0
1
4
4
3
4
1
4
3
4
3
4
3
8
3
4
3
3
9
3
4
3
0
2
4
1
3
2
3
2
3
3
4
3
3
2
2
2
3
3
2
2
3
4
1
2
2
3
3
2
3
3
3
3
4
2
3
3
2
3
3
4
3
4
4
3
4
3
4
1
4
3
4
3
4
4
3
4
2
4
2
2
3
4
5
3
3
3
3
3
4
5
3
4
6
3
3
3
3
3
4
6
3
2
3
3
3
3
3
4
3
2
3
2
2
3
3
4
3
3
3
4
4
7
4
8
4
9
5
0
5
1
5
2
5
3
5
2
4
3
4
3
4
4
8
9
5
0
3
2
3
3
5
1
3
3
2
2
3
5
2
3
3
3
3
5
3
3
3
1
3
3
5
4
4
3
3
3
4
4
3
3
3
3
2
3
3
3
3
3
3
2
2
2
3
4
3
4
3
2
3
3
3
4
4
4
4
2
4
4
4
4
2
4
2
4
4
1
4
7
4
3
3
2
4
3
2
1
5
5
3
2
3
3
2
5
5
3
3
3
5
6
3
3
2
3
3
5
6
3
2
3
2
2
3
3
2
3
3
5
3
2
3
3
2
3
3
5
8
3
2
3
2
3
3
5
9
2
3
2
3
3
5
7
5
8
3
2
3
5
9
3
3
3
6
0
4
3
2
3
3
3
2
3
2
6
1
3
3
2
3
3
6
1
3
3
3
3
3
6
2
3
3
2
3
3
6
2
3
2
2
3
3
3
2
2
1
3
3
6
3
3
3
3
3
6
6
6
4
4
6
7
0
4
3
4
3
4
6
5
3
3
3
3
3
6
5
6
6
3
3
3
3
3
6
6
3
2
2
3
3
6
3
6
8
6
9
6
7
6
8
6
9
7
0
7
7
7
7
7
4
3
4
3
4
7
7
3
3
3
3
3
2
3
3
3
3
2
3
3
5
3
3
2
3
3
6
2
2
1
3
3
7
7
7
3
3
2
2
3
3
3
3
3
3
2
2
3
3
6
2
3
1
3
3
3
3
2
3
3
8
2
3
1
3
3
8
1
6
3
3
3
5
3
3
5
2
8
3
2
3
3
8
1
3
3
3
4
3
2
3
3
7
8
4
4
3
3
9
0
4
4
4
3
4
4
3
1
4
4
3
3
3
4
3
4
2
3
2
3
3
3
3
2
2
3
3
3
3
3
3
3
1
3
3
8
2
2
3
2
3
3
8
3
3
3
2
2
3
8
3
3
3
3
8
5
3
2
3
3
2
3
1
3
3
8
6
3
3
2
3
3
4
3
4
4
4
4
8
4
4
3
3
2
3
3
8
8
2
3
2
3
3
8
8
3
3
2
3
3
8
9
3
3
2
2
3
8
9
3
3
3
3
3
7
4
4
3
3
9
4
3
3
3
4
3
3
3
3
4
2
3
3
3
4
2
3
3
3
3
3
3
3
2
3
3
3
8
3
1
3
8
3
3
3
7
2
3
3
0
3
3
3
7
3
4
3
8
7
3
4
2
4
4
7
1
4
2
1
7
3
4
4
0
7
2
1
8
4
1
4
3
8
8
3
3
4
3
7
7
8
4
1
4
2
4
7
3
4
2
1
7
7
2
4
2
4
4
7
9
0
4
3
3
3
3
9
0
3
3
2
3
3
9
1
3
3
1
3
3
9
1
3
3
2
3
3
9
2
3
2
3
3
2
9
2
3
3
2
3
3
9
3
3
3
2
3
3
9
3
2
2
1
3
3
3
3
2
3
3
9
3
3
3
3
9
5
3
9
6
9
4
9
5
9
6
9
4
3
7
9
9
3
4
1
4
3
4
4
4
2
9
8
3
3
2
3
3
9
3
3
2
3
3
2
2
1
3
3
1
0
0
4
8
9
0
1
0
1
3
3
3
3
3
1
0
1
1
0
2
3
3
3
3
3
1
0
2
1
0
3
3
3
3
3
3
1
0
3
1
0
3
2
2
3
3
1
0
1
0
5
3
1
0
5
1
0
6
1
0
6
1
0
1
0
1
0
8
1
0
8
1
0
9
0
9
4
2
3
4
1
4
2
7
4
1
4
0
4
3
4
3
4
3
4
3
4
4
3
3
2
3
3
1
2
3
3
3
2
2
3
3
2
3
3
3
2
2
3
3
3
3
3
3
3
1
3
3
2
3
2
3
3
3
3
2
2
3
3
3
3
3
3
3
1
3
3
3
3
3
3
3
3
3
3
3
3
3
2
2
3
3
1
3
3
2
3
3
1
1
1
1
3
3
2
3
3
1
1
1
1
1
2
3
3
2
3
3
1
1
2
2
1
1
3
3
3
3
3
1
1
3
3
1
1
3
2
3
3
1
1
1
1
5
3
3
3
3
3
1
1
5
3
1
1
6
3
3
3
3
3
1
1
6
3
1
1
3
2
2
2
3
1
1
3
1
1
8
3
3
2
3
3
1
1
8
1
1
9
3
3
1
3
3
1
1
9
1
2
1
2
7
0
4
0
.
5
4
5
0
.
5
4
9
0
.
8
4
4
9
0
.
4
4
6
0
.
4
3
7
.
0
3
3
3
3
3
-
9
1
.
0
.
4
4
0
0
2
1
0
6
4
0
0
8
9
.
6
0
5
1
7
1
.
7
9
6
1
1
1
8
7
3
4
-
1
4
1
6
6
7
0
1
.
2
0
3
0
3
1
.
.
0
3
.
.
0
.
4
0
9
7
1
0
9
4
6
5
2
1
9
1
0
3
2
1
4
6
1
7
1
4
0
5
2
2
3
8
3
1
1
6
1
9
3
0
2
8
8
.
6
2
3
2
2
3
3
2
2
3
2
3
2
2
3
3
2
2
3
3
2
3
4
4
2
4
0
.
6
8
4
3
0
.
8
1
4
3
1
4
3
2
4
4
4
4
2
0
3
4
4
4
0
2
4
3
1
0
3
4
4
4
3
1
4
0
4
2
1
4
4
4
7
4
3
4
4
3
4
3
4
0
3
4
2
4
9
1
1
4
7
9
3
4
9
3
0
.
5
5
3
0
.
6
4
d
i
d
i
^
2
1
0
2
0
0
2
1
0
1
3
0
0
0
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
1
9
-
0
0
0
0
0
0
0
0
0
1
-
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
1
0
-
1
1
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
0
1
1
1
0
1
-
1
-
0
1
-
1
0
0
0
-
-
0
1
1
-
1
1
0
-
2
1
1
-
0
1
1
1
4
0
1
1
-
0
0
1
1
0
0
0
4
1
1
0
-
0
2
-
1
0
1
0
1
1
0
1
1
0
1
0
2
0
1
1
0
1
1
0
2
3
1
4
1
1
1
1
-
0
1
1
-
1
0
-
0
0
0
1
1
-
1
0
1
0
1
1
1
9
-
0
1
0
0
1
-
0
4
-
0
0
0
1
0
0
0
2
0
0
0
1
0
0
1
0
0
3
0
0
1
0
1
1
0
0
0
0
0
0
-
0
0
4
-
1
-
1
-
-
0
1
1
0
0
1
1
0
0
1
9
0
0
-
1
-
1
-
1
0
1
-
1
-
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
2
0
0
0
1
4
0
0
1
0
0
4
1
0
0
-
1
0
-
-
2
1
-
1
-
1
0
2
0
2
1
2
-
1
1
0
0
4
0
0
0
0
4
0
1
1
4
0
0
1
0
0
0
1
0
-
0
1
0
1
0
-
1
1
-
1
0
1
1
0
-
0
0
0
1
1
0
0
1
1
4
4
1
4
0
1
-
1
2
1
-
2
-
1
0
1
0
0
1
0
-
1
0
1
1
1
1
0
0
2
1
1
4
1
1
0
1
1
0
1
1
0
1
-
1
-
1
-
1
-
2
1
-
2
1
1
4
-
1
0
1
0
1
0
0
1
1
0
0
1
1
1
-
1
1
1
-
1
1
0
1
1
0
3
-
1
1
1
1
-
1
1
-
0
1
0
1
0
1
1
9
0
0
1
0
2
1
2
1
0
-
1
1
1
0
4
1
4
0
0
1
0
0
1
0
0
0
1
0
4
1
1
0
1
0
-
0
1
0
0
1
0
0
1
-
1
0
0
2
0
0
1
1
0
4
1
1
1
0
0
0
0
0
-
2
1
1
-
1
1
0
1
0
-
0
2
0
2
0
2
-
0
0
0
4
0
0
4
0
4
0
0
0
0
0
0
0
0
-
1
0
0
1
-
0
0
0
1
-
0
1
-
1
0
2
0
0
0
1
4
1
1
0
1
0
1
1
1
0
1
1
1
-
1
2
1
4
-
0
2
-
0
1
-
0
1
0
1
4
1
0
1
-
1
1
1
1
-
1
0
0
1
-
0
0
1
0
0
0
1
0
1
0
1
1
0
1
0
0
0
1
2
0
1
0
1
0
0
1
0
0
1
0
4
0
1
-
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
-
0
0
-
1
-
1
-
1
0
0
1
1
-
1
0
1
1
1
1
1
1
1
-
0
1
0
0
0
1
0
1
0
0
1
0
0
1
0
1
1
0
1
0
0
1
0
0
0
0
0
-
0
1
1
-
1
1
-
1
-
0
0
0
-
2
1
1
0
-
2
1
1
1
1
1
1
4
0
1
4
1
1
1
1
1
1
0
-
0
1
1
0
1
1
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
-
0
0
-
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
-
1
-
1
-
1
-
0
1
1
-
0
1
1
1
1
1
1
-
0
0
0
0
1
0
0
0
0
0
4
0
0
4
4
-
0
0
1
-
2
2
-
0
2
-
1
-
1
0
0
1
1
1
1
-
0
0
0
0
1
0
0
-
1
2
1
2
0
2
0
1
-
1
1
1
4
4
0
4
0
1
0
0
0
1
1
0
0
-
0
0
1
1
1
0
-
1
0
1
0
0
1
0
1
0
0
1
0
1
0
1
4
0
0
1
1
0
0
-
1
1
1
2
0
1
0
0
1
1
0
1
0
1
0
0
1
0
-
0
0
1
-
1
0
1
0
0
0
1
0
1
1
0
-
1
0
0
1
0
0
0
1
0
1
1
0
1
1
0
0
1
1
0
0
1
0
1
0
0
0
0
0
1
0
0
1
1
0
1
1
0
0
1
0
0
-
0
1
-
1
0
0
1
1
-
1
0
1
-
1
1
-
0
1
-
1
0
1
1
1
1
-
0
0
1
0
0
-
1
1
2
2
1
1
1
4
1
1
2
1
1
1
1
4
-
-
1
-
0
1
-
0
1
-
1
1
1
-
0
1
0
1
0
1
0
0
1
2
0
0
1
0
1
-
0
0
0
1
1
0
1
0
-
0
1
4
0
0
0
0
0
0
4
0
0
-
0
0
1
0
1
0
0
0
0
1
1
0
0
0
4
0
1
1
0
0
0
1
0
-
2
2
0
-
0
0
4
0
0
-
1
1
3
0
1
1
-
1
0
2
1
0
1
1
9
0
1
4
1
0
0
-
1
1
0
1
1
0
0
1
0
0
0
0
1
1
0
1
0
1
1
1
0
0
1
0
0
0
0
1
0
1
-
1
1
-
2
-
1
-
-
1
-
1
1
1
1
1
1
4
1
1
1
1
4
1
0
1
-
1
1
0
1
2
0
1
0
-
0
1
0
0
2
1
0
2
0
4
1
0
0
0
0
1
4
-
0
0
0
1
1
0
0
0
0
1
0
-
1
1
0
1
1
0
1
2
1
0
1
0
0
1
1
1
1
-
2
0
1
0
4
1
4
-
1
1
-
0
1
-
0
1
4
1
-
1
0
0
2
-
9
2
0
0
-
7
1
9
1
1
1
1
1
1
-
1
-
1
1
-
1
-
-
3
-
0
0
0
0
0
0
-
6
3
0
8
0
9
1
1
8
3
6
6
8
4
i
V
o
d
e
l
p
i
M
o
P
K
k
a
u
d
e
s
e
o
n
s
i
t
s
a
r
a
n
s
u
i
e
p
r
a
i
h
n
a
o
r
e
m
i
i
n
s
u
p
e
o
d
e
n
o
o
c
e
a
r
a
k
s
e
l
u
u
r
h
o
n
a
a
k
H
o
o
T
H
a
l
T
k
H
r
u
d
k
m
i
T
o
a
l
e
l
a
r
s
k
m
n
a
l
a
g
t
u
p
l
T
o
e
a
l
d
s
o
k
i
a
p
K
l
b
i
T
g
r
k
K
s
d
a
e
a
r
a
h
n
a
K
i
r
i
e
r
n
a
v
b
u
s
a
e
a
e
k
r
m
n
a
o
a
k
H
a
k
H
l
o
r
h
i
t
u
n
g
r
k
r
i
t
i
k
k
e
s
i
m
n
u
l
a
n
N
a
r
i
a
b
e
l
0
1
.
5
4
7
7
v
o
a
l
i
d
a
l
i
d
1
a
l
i
d
2
a
l
i
d
3
a
l
i
d
v
a
r
i
a
b
e
l
0
2
.
7
3
1
5
v
v
0
a
r
i
a
b
e
l
a
r
i
a
b
e
l
3
0
.
6
0
.
6
0
6
.
1
7
9
8
4
v
v
4
9
7
9
v
v
a
r
i
a
b
e
l
5
0
.
6
1
8
1
v
4
v
5
6
r
a
r
i
a
b
e
l
h
0
1
i
.
t
u
8
n
2
3
g
r
k
r
i
t
i
k
k
e
s
i
m
2
v
n
u
a
l
i
d
a
l
i
d
a
l
i
d
a
l
i
d
a
l
i
d
l
a
n
v
a
r
i
a
b
e
l
0
2
.
6
7
9
2
v
v
0
a
r
i
a
b
e
l
a
r
i
a
b
e
l
3
0
.
8
0
.
7
7
3
.
1
7
9
8
1
v
v
N
4
4
4
8
v
o
v
a
r
i
a
b
e
l
5
0
.
7
0
3
8
v
1
v
2
3
r
h
i
t
u
n
g
a
r
i
a
b
e
l
1
0
.
6
7
7
7
a
r
i
a
b
e
l
2
0
.
5
6
5
9
r
k
r
i
t
i
k
k
v
s
i
m
n
u
l
a
n
4
a
l
i
d
5
a
l
i
d
6
a
l
i
d
a
l
i
d
a
l
i
d
v
v
v
0
a
r
i
a
b
e
l
a
r
i
a
b
e
l
3
0
.
6
0
.
6
4
8
3
1
9
v
.
1
7
9
8
v
4
6
v
v
a
v
e
r
i
a
b
e
l
5
0
.
6
1
1
2
v
o
I
n
o
I
i
n
i
v
v
o
A
P
s
s
i
a
s
P
e
i
r
s
e
n
t
a
s
e
(
%
J
o
e
s
a
i
n
r
s
e
n
t
a
s
e
(
%
)
s
e
(
%
)
J
a
D
e
)
a
w
b
a
n
a
y
a
a
w
b
a
n
t
i
d
a
k
o
l
g
m
e
n
a
r
i
k
n
e
r
h
a
t
i
a
5
n
9
4
9
.
2
9
3
.
3
6
1
.
7
6
8
.
3
6
1
5
0
.
8
6
3
8
.
3
8
3
1
.
7
N
a
y
m
a
n
d
i
n
a
k
a
1
i
1
2
8
6
.
7
H
a
r
g
a
e
r
a
j
n
g
k
a
7
u
4
4
o
M
d
L
t
e
l
m
u
l
t
i
u
f
n
g
s
i
8
2
3
o
k
a
s
i
n
e
n
j
u
a
l
n
a
l
a
n
m
u
d
a
h
d
i
a
j
n
g
k
a
u
1
1
5
9
5
.
8
5
1
1
2
9
3
.
3
8
1
2
4
.
2
.
7
M
e
r
k
t
e
r
k
e
6
o
T
t
a
l
E
0
1
x
E
e
u
c
t
i
2
0
x
e
e
u
c
t
i
e
v
v
o
A
P
P
s
s
i
a
s
i
e
r
s
e
n
t
a
s
J
o
e
s
a
i
n
(
%
e
)
r
s
e
n
t
a
J
a
D
e
w
a
b
a
n
y
a
a
w
a
b
a
n
t
i
d
a
k
o
l
g
m
e
n
a
r
i
k
n
e
r
h
a
t
i
a
n
6
3
5
2
.
5
5
9
8
8
1
.
7
2
8
6
7
1
.
7
3
6
7
5
5
.
8
5
7
4
7
.
5
1
8
.
3
2
8
.
3
.
2
N
a
y
m
a
n
d
i
n
a
k
a
i
2
H
a
r
g
a
e
r
a
j
n
g
k
a
u
4
o
M
d
L
t
e
l
m
u
l
t
i
u
f
n
g
s
i
3
4
4
o
k
a
s
i
n
e
n
j
u
a
l
n
a
l
a
n
m
u
d
a
h
d
i
j
a
n
g
k
a
u
1
2
0
1
0
0
.
0
0
0
.
0
1
2
0
1
0
0
.
0
0
0
.
0
1
2
0
M
e
r
k
t
e
r
k
e
T
o
t
a
l
1
2
0
n
e
r
e
c
i
e
d
v
o
I
J
a
a
w
b
a
n
n
E
x
i
e
u
c
t
i
v
e
v
x
A
t
r
i
b
u
d
e
X
t
f
X
f
f
f
S
a
n
g
a
t
n
u
a
s
4
2
0
8
0
1
9
8
3
1
8
7
6
o
M
l
P
u
n
a
k
a
i
a
a
s
3
8
3
2
1
7
2
4
9
2
4
9
n
T
i
m
e
n
a
r
i
d
a
k
n
u
a
s
3
4
3
6
k
S
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
0
0
0
0
o
T
t
a
l
1
2
0
3
6
3
1
2
0
3
6
1
R
a
t
S
a
r
a
t
a
3
J
.
0
2
5
o
I
a
a
w
b
a
n
3
n
E
.
0
0
8
x
i
e
u
c
t
i
v
e
v
x
A
t
r
i
b
u
X
t
f
X
f
f
f
S
a
n
g
a
t
n
u
a
s
4
1
4
5
6
1
8
7
2
o
P
P
r
d
u
k
u
a
s
3
7
6
2
2
9
2
2
8
8
4
2
5
2
T
b
e
r
a
r
i
a
s
i
v
i
d
a
k
n
u
a
s
5
8
1
8
3
6
S
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
1
1
0
0
o
T
t
a
l
1
2
0
3
4
3
1
2
0
3
6
0
R
a
t
S
a
r
a
t
a
2
J
.
8
5
8
o
I
a
a
w
b
a
n
3
n
E
.
0
0
0
x
i
e
u
c
t
i
v
e
v
A
x
t
r
i
b
u
X
t
f
X
f
f
f
S
a
n
g
a
t
n
u
a
4
s
1
4
5
6
1
6
5
1
6
4
K
e
s
e
s
u
a
i
a
n
P
u
h
a
r
g
a
d
e
n
g
a
a
s
3
4
2
4
6
1
3
8
1
5
3
n
T
i
d
a
k
n
u
a
s
0
8
0
0
2
0
4
2
8
1
1
4
o
m
d
e
l
S
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
2
1
1
o
T
t
a
l
1
2
0
2
9
4
1
2
0
3
1
2
R
a
t
S
a
r
a
t
a
2
J
.
4
5
0
o
I
a
a
w
b
a
n
2
n
E
.
6
0
0
x
i
e
u
c
t
i
v
e
v
A
x
t
r
i
b
u
X
t
f
X
f
f
f
S
a
K
n
g
a
t
n
u
a
s
4
2
0
8
0
1
0
8
4
4
0
o
n
s
i
s
t
e
n
s
i
P
u
k
u
a
l
i
t
a
a
3
s
9
2
2
7
6
2
5
2
s
T
i
d
a
k
n
u
a
2
s
8
1
6
2
6
5
2
o
n
r
d
u
k
S
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
0
0
0
0
o
T
t
a
1
l
2
0
3
7
2
1
2
0
3
4
4
R
a
t
S
a
r
a
t
3
a
J
.
1
0
0
o
I
a
a
w
b
a
n
2
n
E
i
.
6
7
x
e
v
8
c
u
t
i
e
v
x
A
t
r
i
b
u
X
t
f
X
f
f
f
K
S
e
r
a
n
i
h
a
n
a
n
g
a
t
n
u
a
s
4
2
0
8
0
1
1
8
8
1
5
4
4
o
P
n
r
d
u
k
u
a
s
3
9
8
2
9
4
2
6
4
T
s
e
c
a
r
a
i
d
a
k
n
u
a
s
2
2
4
3
0
S
k
e
s
e
l
u
r
u
h
a
n
a
n
g
a
t
t
i
d
a
k
n
u
a
s
1
0
0
6
6
T
o
t
a
l
1
2
0
3
7
8
1
2
0
3
R
a
t
a
-
r
a
t
a
3
.
1
5
0
2
.
8
6
7
4
4
K
K
i
N
o
n
e
r
i
a
j
n
e
r
a
j
P
e
r
n
a
y
t
a
a
n
o
I
n
e
s
a
i
n
n
g
i
v
M
o
P
o
1
d
2
r
e
d
l
u
n
a
k
k
b
a
e
i
a
r
n
a
m
r
i
e
a
s
n
a
r
i
k
i
3
.
0
0
8
3
.
0
2
.
6
2
.
8
6
2
.
8
6
3
.
0
2
0
0
2
.
0
0
2
.
8
7
3
.
1
7
3
.
1
5
5
8
v
K
3
o
e
K
s
e
s
u
a
i
a
n
h
a
g
a
d
e
n
g
a
o
n
m
d
e
l
4
5
0
o
n
4
s
i
s
t
e
n
s
i
k
u
K
5
r
a
l
i
t
a
s
n
r
d
u
k
0
0
o
e
r
a
n
i
h
a
n
n
r
d
u
k
s
e
c
a
r
a
k
e
s
e
l
u
r
u
h
a
n
5
0
k
e
p
a
e
r
i
n
a
t
b
i
s
p
o
n
d
e
g
a
n
e
l
V
e
n
e
n
R
1
2
3
4
1
3
3
2
3
3
4
5
4
6
4
7
4
3
4
3
3
3
0
4
1
2
1
3
4
3
4
1
6
2
0
1
3
7
4
1
9
6
3
1
7
7
3
1
7
8
3
1
7
9
4
3
4
3
3
4
3
0
5
1
7
1
4
1
7
1
0
1
3
4
1
5
1
2
3
3
4
1
7
1
3
4
1
3
3
3
1
3
3
3
1
5
1
5
3
3
1
5
1
6
8
1
7
6
1
8
1
9
8
9
4
4
3
3
2
4
4
4
4
4
3
4
4
4
4
4
3
2
6
2
7
2
8
4
2
9
4
4
3
0
3
4
1
3
4
4
1
4
4
2
4
1
8
2
3
4
1
6
2
1
3
1
6
2
2
3
1
9
2
1
9
2
1
5
2
5
3
4
3
3
4
3
3
4
4
2
4
4
4
1
4
4
4
4
4
4
1
3
3
2
4
4
3
4
4
4
3
4
4
4
3
4
4
4
3
4
2
6
2
7
2
8
1
8
2
9
0
1
9
3
3
1
5
3
1
3
1
8
3
2
4
3
0
0
9
2
3
4
3
3
3
0
4
3
4
3
1
2
4
3
4
3
4
4
3
4
4
4
5
3
4
3
3
2
4
5
3
1
3
n
3
1
3
e
2
7
3
3
d
2
3
1
3
2
n
4
2
4
1
o
4
3
3
2
3
4
p
4
3
3
2
1
s
R
4
3
3
2
l
4
4
6
2
m
4
3
5
1
j
4
4
1
0
4
4
3
1
2
3
4
3
4
9
5
3
4
4
4
4
3
8
1
2
4
2
4
1
1
1
2
3
0
1
0
3
7
3
3
4
3
5
4
4
4
4
4
2
0
3
5
3
6
4
4
4
4
4
2
0
3
6
3
7
4
4
4
4
4
2
0
3
7
3
8
4
4
4
3
9
4
4
0
3
3
3
4
3
3
3
4
3
3
1
8
3
8
1
9
3
9
1
5
4
0
4
1
4
2
4
3
4
4
4
4
3
4
4
4
4
5
6
4
3
4
7
3
4
8
4
9
0
1
5
2
5
3
4
4
3
4
5
5
5
6
5
7
4
5
8
4
5
9
6
1
2
4
6
3
4
4
4
3
1
8
4
8
3
4
3
1
6
4
3
1
9
5
3
3
1
5
5
1
5
2
5
3
3
4
1
9
5
6
4
4
1
9
5
7
3
1
7
5
8
3
4
3
1
7
5
9
3
1
7
6
9
6
1
6
2
3
3
3
4
4
4
1
4
4
4
2
4
4
3
4
4
3
6
5
6
5
3
1
8
6
6
6
7
6
8
2
3
0
1
7
2
1
9
7
3
1
7
7
1
4
3
1
7
7
2
4
3
1
8
7
3
3
1
6
7
3
1
9
7
5
1
9
7
6
1
8
7
7
1
9
7
8
3
1
5
7
9
3
1
8
8
3
1
6
8
1
3
1
9
8
2
3
1
5
8
4
3
4
4
4
4
7
7
4
7
8
3
7
9
3
3
4
3
4
4
4
4
3
3
4
3
3
4
3
4
4
3
4
3
4
4
3
3
4
4
4
4
2
4
4
4
4
1
0
4
4
4
3
9
1
4
4
4
1
4
4
3
6
4
6
3
8
4
3
4
1
3
4
4
0
0
4
4
3
4
3
3
4
3
4
3
4
3
3
4
3
3
4
4
3
4
3
3
4
4
4
4
3
5
5
4
4
0
5
4
3
9
8
3
4
0
9
0
1
4
3
5
7
4
5
8
4
4
4
3
5
3
4
4
1
4
7
8
3
4
3
7
8
6
4
4
2
5
4
4
9
8
4
9
2
4
1
8
1
4
4
0
1
3
4
4
8
4
4
8
8
9
4
3
4
1
1
7
7
3
2
6
3
2
4
4
6
2
4
9
4
4
7
6
1
4
4
7
1
3
4
6
1
3
4
6
7
1
4
4
3
0
4
4
5
7
8
4
4
3
1
4
3
4
3
4
6
6
3
3
3
6
4
4
3
3
6
6
3
4
0
4
3
4
3
3
4
3
3
3
4
4
4
4
5
5
3
4
4
4
4
4
5
3
4
4
4
3
6
0
8
9
8
9
0
4
0
3
4
5
8
6
4
4
4
4
8
7
4
4
4
4
8
8
4
4
4
8
9
9
3
0
4
9
1
9
2
4
9
3
4
9
3
3
4
4
6
4
9
7
4
9
8
4
9
9
4
0
3
4
3
3
8
6
1
9
8
7
1
9
8
8
1
5
8
9
4
4
4
2
4
4
4
1
4
4
4
4
4
3
1
8
4
3
1
8
9
4
3
4
5
3
3
0
4
4
9
2
4
4
9
4
3
4
3
4
3
4
3
4
4
2
4
4
3
4
3
4
2
4
3
9
9
0
0
1
2
4
0
7
0
1
7
0
0
9
1
9
2
9
3
4
9
5
9
6
9
7
9
8
9
9
4
4
4
2
3
4
4
4
1
9
1
0
3
1
7
1
0
1
3
4
3
1
7
1
0
2
3
1
8
1
0
3
4
3
1
6
1
0
3
1
9
1
0
5
1
0
1
0
1
1
0
2
1
0
1
0
1
0
5
4
4
1
0
6
4
4
1
9
1
0
6
1
0
7
4
3
4
4
3
1
8
1
0
7
1
0
8
4
3
4
4
3
1
8
1
0
8
1
0
0
4
4
3
3
3
4
4
4
3
3
9
3
1
1
0
1
1
1
1
1
2
1
1
3
1
1
1
1
5
1
1
6
1
1
7
1
1
8
4
1
1
9
4
1
2
4
4
.
5
4
7
4
4
7
3
1
5
7
.
6
0
6
4
.
6
9
7
1
1
3
1
8
1
1
1
3
1
6
1
1
2
3
1
9
1
1
3
1
9
1
1
1
8
1
1
5
1
9
1
1
6
1
5
1
1
7
1
9
1
1
8
3
1
7
1
1
9
3
1
7
1
2
3
4
0
1
5
4
3
4
0
9
1
4
3
3
.
1
3
4
9
0
.
6
1
8
1
3
4
3
4
3
4
4
0
3
4
3
3
7
4
4
3
3
0
3
4
3
0
4
4
3
3
4
3
4
4
4
4
3
3
4
3
3
4
3
4
4
4
3
4
3
4
4
4
4
4
3
4
3
4
0
9
0
4
0
k
i
n
e
r
a
j
i
n
i
o
e
x
e
v
a
r
i
a
b
a
e
l
V
r
i
a
b
e
V
e
1
2
3
4
5
3
3
3
4
3
3
2
3
3
3
3
3
3
3
3
3
3
3
3
2
2
3
3
2
3
2
3
3
n
d
e
n
1
2
3
1
2
3
3
1
5
2
3
1
5
3
3
3
3
3
1
5
3
3
3
2
3
1
5
3
2
3
3
3
1
6
3
3
2
3
3
2
1
7
3
2
3
2
3
3
1
4
8
3
3
2
3
2
3
3
1
4
9
3
3
2
3
2
3
3
3
1
4
3
3
3
3
1
6
1
1
3
2
3
3
1
5
1
2
2
3
2
1
3
3
1
2
1
3
3
3
2
2
3
3
1
3
1
3
2
3
3
3
1
3
1
2
3
3
2
3
4
3
2
3
4
3
3
2
3
3
1
3
3
3
3
3
1
3
3
2
3
3
1
4
2
1
3
3
2
3
3
1
4
2
2
3
3
2
3
3
1
4
2
2
1
3
3
1
1
2
3
3
3
3
3
1
5
2
5
3
3
3
3
3
3
1
5
2
6
3
2
3
3
3
3
3
3
1
5
2
7
3
2
3
3
2
2
3
3
1
3
2
8
2
3
1
3
3
1
2
2
9
4
4
4
4
4
4
4
3
4
4
l
o
6
4
m
p
1
4
j
s
4
2
4
3
1
4
0
3
3
2
2
4
3
3
3
2
6
3
2
3
1
5
1
7
3
2
3
6
1
8
2
3
1
9
3
2
2
4
5
2
0
2
0
3
3
4
3
4
3
3
3
2
2
3
1
3
3
2
3
3
3
3
1
6
3
3
1
3
3
1
3
3
3
4
0
3
5
3
3
4
4
3
3
4
2
4
2
3
3
4
3
4
4
2
3
2
3
1
4
4
3
0
2
4
3
3
3
4
4
3
4
3
4
4
5
1
4
2
4
1
3
4
3
1
3
4
4
3
2
4
3
4
3
3
3
4
4
2
4
4
1
1
4
R
3
4
2
3
3
1
2
2
3
2
3
3
3
1
4
3
6
4
3
2
3
3
3
1
4
3
7
4
3
1
3
8
3
4
3
3
9
3
4
3
2
4
3
4
2
1
4
3
3
4
2
4
3
2
3
1
2
0
3
4
0
4
4
3
3
3
3
2
3
4
3
4
2
2
3
1
3
4
1
2
2
3
3
3
3
1
6
4
2
3
3
3
1
3
3
1
3
4
3
2
2
2
3
4
4
4
4
2
0
4
4
2
4
2
3
3
3
3
1
5
4
5
3
3
3
3
3
3
1
5
4
6
3
2
3
3
3
3
3
3
1
5
4
7
3
2
3
3
2
2
3
3
1
3
4
8
3
3
3
1
2
4
2
3
4
1
4
3
4
4
2
0
9
5
0
4
3
3
4
4
4
4
2
4
2
4
3
2
3
3
1
3
5
1
3
3
2
2
3
1
3
5
2
3
3
3
3
1
6
5
3
3
3
1
3
3
1
3
5
3
2
3
3
2
1
3
5
3
3
2
3
3
1
4
3
3
2
3
3
1
4
3
2
3
3
3
1
4
3
3
3
3
1
6
3
2
3
3
1
5
6
3
3
2
3
3
1
4
6
3
3
2
3
3
1
4
6
2
2
1
3
3
1
1
6
3
3
3
3
3
1
5
6
3
3
3
3
3
1
5
6
5
2
3
2
3
3
3
3
3
1
5
6
6
3
3
2
3
2
2
3
3
1
3
6
7
3
3
2
3
1
3
3
1
2
6
8
3
3
1
9
2
3
2
3
3
2
3
3
4
4
2
4
4
3
4
4
4
1
4
4
4
3
4
2
3
4
0
1
3
3
4
4
4
4
2
3
3
3
4
5
3
4
5
6
3
2
3
5
7
3
2
3
5
8
3
2
3
5
9
2
3
2
3
2
1
3
3
3
2
3
2
2
3
2
3
1
0
4
6
2
4
2
2
4
7
4
2
0
7
1
4
4
4
0
3
4
4
4
3
3
2
3
3
1
4
7
2
3
3
1
3
3
2
3
3
1
4
7
3
3
3
3
3
3
2
3
3
1
4
7
3
3
3
3
3
2
3
3
1
4
7
5
3
2
2
2
2
1
3
3
1
1
7
6
2
3
1
3
3
3
3
3
1
5
7
7
4
3
3
3
3
3
1
5
7
8
4
3
3
3
3
3
1
5
7
9
3
2
2
3
3
1
3
8
2
3
1
3
3
1
2
8
1
2
3
2
8
2
3
3
2
4
4
3
4
4
4
4
2
0
2
3
2
3
3
1
3
8
3
3
2
2
3
1
3
8
3
3
3
3
1
6
8
4
0
4
3
4
3
4
5
4
3
3
3
1
4
4
4
3
3
3
3
1
3
2
3
3
3
4
4
4
3
3
2
8
7
3
3
2
3
8
8
3
3
2
3
3
2
2
3
1
3
8
9
3
3
3
3
3
3
3
1
6
9
3
3
2
3
3
1
3
3
1
3
9
1
3
3
2
3
2
3
3
2
1
3
9
2
3
3
2
3
3
2
3
3
1
4
9
3
2
2
1
3
3
2
3
3
1
4
9
2
3
1
3
3
3
3
1
6
9
5
3
1
3
3
1
3
9
6
2
3
2
3
3
2
4
4
4
4
0
4
2
0
9
7
4
4
3
3
2
3
3
1
4
9
8
3
3
2
3
3
1
4
9
9
2
2
1
3
3
1
1
1
0
3
3
3
3
3
1
5
1
0
1
3
3
3
3
3
1
5
1
0
2
3
3
3
3
3
3
1
5
1
0
3
3
2
2
3
3
1
3
1
0
2
3
1
3
3
1
2
1
0
5
1
0
6
1
0
7
4
4
4
3
4
4
1
4
2
3
4
3
4
4
0
1
2
2
0
1
0
0
4
4
4
4
2
3
2
3
3
2
3
3
3
1
2
3
2
3
3
2
3
3
3
3
1
3
3
3
8
3
3
3
9
3
2
2
3
3
2
0
4
4
4
3
3
2
3
3
1
4
1
3
3
2
3
3
1
4
1
1
3
3
2
3
3
1
4
1
1
1
3
3
2
3
3
1
4
1
1
2
2
3
3
3
3
1
6
1
1
3
3
3
2
3
3
1
5
1
1
3
3
3
3
3
1
5
1
1
5
3
3
2
3
3
3
3
3
1
5
1
1
6
3
2
3
3
2
2
2
3
1
2
1
1
7
3
2
3
3
2
3
3
1
1
1
8
2
3
3
3
1
3
3
1
1
1
9
1
2
4
4
9
0
6
1
2
2
2
8
3
4
3
4
3
3
4
2
4
1
2
3
8
3
3
4
.
3
2
4
0
1
0
.
6
7
9
4
4
2
0
.
8
7
3
4
4
1
0
.
7
4
4
4
8
0
.
7
0
3
2
8
4
3
0
0
4
4
4
3
2
3
3
.
6
7
7
3
4
4
4
4
0
2
4
4
0
4
4
3
7
0
.
5
6
5
9
1
3
0
.
6
4
8
3
b
a
g
1
e
l
s
4
5
j
m
i
a
U
l
o
s
N
i
a
e
U
2
2
1
2
2
1
1
3
1
3
3
1
5
2
2
2
1
3
3
3
3
1
4
3
3
1
4
3
3
1
3
3
1
4
3
3
1
4
h
t
<
1
-
8
6
3
6
-
3
-
h
4
t
4
1
5
h
4
2
0
4
r
s
e
n
t
a
s
e
(
%
)
0
0
5
5
.
0
0
3
2
2
6
.
6
7
1
.
1
0
2
1
6
7
1
0
n
5
4
4
6
1
.
7
6
4
7
2
a
e
n
1
d
i
d
i
k
a
n
e
s
2
p
0
o
n
1
d
e
n
P
e
r
s
0
e
0
n
t
a
s
e
(
%
)
R
<
1
M
U
9
7
5
.
0
0
3
S
1
8
2
6
8
.
3
3
3
3
S
2
1
6
1
3
.
3
3
3
S
3
3
1
2
3
1
2
2
1
3
2
1
3
3
2
1
3
3
2
1
3
2
1
1
2
3
3
1
3
3
3
1
7
1
3
3
1
6
2
3
3
1
7
3
3
3
1
6
3
3
1
6
3
3
1
6
3
3
1
4
3
3
1
4
3
3
1
3
3
1
3
3
1
5
2
3
3
1
7
3
2
3
1
2
S
2
2
4
a
5
i
n
0
y
n
1
o
t
P
e
k
e
r
a
a
n
e
j
P
e
a
a
l
a
i
u
b
r
p
o
n
a
h
a
d
e
n
P
e
r
s
3
n
0
e
3
3
0
n
t
a
s
e
4
s
t
T
(
%
)
6
7
3
7
4
.
1
6
7
1
3
1
0
.
8
3
3
2
1
2
9
a
a
y
n
1
.
9
n
g
g
4
a
1
i
0
8
.
3
3
1
a
1
t
0
0
.
0
0
0
a
1
l
e
8
.
1
8
m
a
P
0
n
l
o
0
0
5
a
w
s
u
o
0
r
w
a
a
R
T
1
2
j
y
r
s
W
5
0
1
R
K
I
3
1
N
4
0
.
1
a
l
o
0
3
a
l
T
6
e
n
N
4
P
6
1
h
l
P
n
6
0
5
o
3
5
o
e
n
0
t
T
d
n
5
5
>
5
n
n
h
5
t
4
o
0
2
t
2
p
8
t
1
s
R
n
d
a
p
a
t
a
n
e
N
s
2
p
0
o
n
1
d
e
n
P
e
r
0
s
0
e
0
.
n
0
t
a
0
s
e
(
%
)
R
p
4
<
1
3
R
0
0
0
.
p
0
0
0
0
0
.
0
.
0
-
0
0
-
0
7
R
4
R
.
0
0
.
0
0
0
.
0
.
0
0
-
0
3
1
7
5
3
2
1
3
6
3
3
1
3
3
1
8
1
7
1
1
3
3
1
7
2
1
2
R
0
0
0
.
6
R
p
4
0
0
.
0
0
0
.
0
0
0
0
1
3
1
1
6
2
5
2
3
6
3
1
.
0
.
0
0
0
.
0
0
0
0
0
.
0
0
0
0
0
>
0
-
0
2
4
2
4
8
R
T
3
9
1
5
p
6
8
R
9
8
2
p
3
1
p
4
R
0
p
7
R
p
4
0
p
3
R
p
4
0
o
t
0
.
0
0
.
0
0
0
0
0
a
l
1
2
0
1
0
0
3
2
1
3
3
1
3
1
5
3
3
1
3
3
3
1
7
2
3
1
3
3
3
1
3
3
1
6
3
1
3
1
7
3
1
7
3
1
4
2
3
4
3
2
4
4
2
4
4
4
1
8
2
1
1
3
3
3
1
7
2
2
1
2
3
2
1
3
2
3
1
3
3
3
1
3
3
2
1
3
3
1
5
3
3
1
3
3
3
1
2
4
4
2
4
0
3
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
3
1
5
3
3
1
5
3
3
1
3
3
3
1
2
4
4
2
0
3
3
1
6
3
3
1
3
4
4
2
0
3
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
2
1
3
3
3
1
4
3
3
1
4
3
3
1
4
3
3
1
3
3
1
4
3
3
1
4
3
3
1
4
3
3
1
1
3
3
1
2
4
4
2
3
1
3
2
3
1
3
4
2
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
3
1
3
2
3
1
3
3
3
1
6
3
3
1
3
3
3
1
5
3
3
1
5
3
1
3
1
5
3
4
4
2
0
2
4
3
1
4
2
3
1
2
2
1
3
2
1
3
3
2
1
3
3
2
1
3
2
1
1
2
4
4
2
3
6
6
1
9
9
8
0
3
3
.
0
3
4
0
5
3
0
.
6
1
1
2
1
2
4
0
6
b
a
g
b
a
g
2
3
T
o
o
p
o
i
f
N
n
d
F
r
e
u
k
e
n
s
i
P
e
r
s
e
n
t
a
s
e
(
%
)
M
o
N
e
x
1
u
F
t
i
e
4
E
7
3
9
.
1
9
3
2
.
5
6
7
2
2
v
n
i
o
I
2
3
0
0
4
1
v
t
3
o
h
p
e
r
e
9
e
4
s
m
A
s
p
e
r
i
n
9
a
i
n
y
n
.
5
.
5
2
2
e
V
5
7
7
0
3
a
1
L
T
o
t
6
1
3
3
.
3
3
9
4
a
1
l
2
0
1
0
0
5
6
o
r
B
a
n
d
e
N
a
F
F
l
R
e
x
1
u
F
t
i
r
e
u
k
e
n
s
i
P
e
r
s
e
n
t
a
s
e
(
%
)
l
e
E
3
6
3
3
2
2
1
1
1
2
0
0
.
0
0
1
0
v
n
i
o
I
2
6
6
.
6
7
8
v
t
3
o
e
4
s
h
p
e
r
e
m
A
s
p
e
r
i
n
a
i
n
y
n
.
1
6
7
2
e
V
5
9
1
0
2
4
0
.
0
0
2
a
2
L
T
o
t
1
l
r
B
P
o
i
a
n
h
i
N
9
1
.
6
7
1
5
a
a
d
r
n
e
w
a
J
o
F
2
0
1
0
0
g
a
b
a
n
F
r
e
u
k
e
n
s
i
P
e
r
s
e
n
t
a
s
e
(
%
)
o
N
l
a
1
Y
T
i
d
a
T
o
t
9
3
7
7
.
5
0
0
2
7
2
2
.
5
0
0
3
2
1
5
2
k
2
a
l
u
b
1
n
w
a
a
r
2
0
1
0
0
o
e
N
u
o
N
S
b
e
r
i
n
o
f
r
a
m
s
i
F
r
e
o
u
s
k
a
I
2
T
e
a
i
P
e
r
s
e
n
t
a
s
e
(
%
)
r
a
4
3
0
7
t
i
n
3
.
3
3
3
.
1
6
7
1
2
4
.
8
3
3
.
6
6
7
1
1
o
y
n
4
1
1
2
N
a
3
o
6
3
0
0
.
0
0
1
7
1
a
1
l
y
1
1
a
k
1
7
n
L
T
6
1
3
o
5
1
n
K
4
r
s
n
m
e
n
1
l
3
o
e
r
1
N
u
k
m
r
B
g
p
n
M
g
s
r
n
g
d
l
i
b
e
i
F
r
e
0
u
k
1
e
n
s
i
P
e
r
s
e
0
n
0
t
2
a
s
e
(
%
)
o
N
l
n
i
o
I
1
2
3
2
2
6
.
6
6
7
1
1
6
2
v
e
x
2
u
F
t
i
e
E
3
4
2
8
.
3
3
3
1
4
1
1
.
6
6
7
1
4
1
1
.
6
6
7
2
1
.
6
6
7
1
v
e
3
s
t
4
p
e
r
i
n
e
V
o
s
h
p
e
r
e
m
A
a
5
i
n
n
y
o
2
t
6
a
l
6
a
L
T
1
1
2
0
1
0
0
1
3
o
a
N
A
a
r
g
s
a
a
t
e
r
a
H
1
F
n
r
e
n
g
k
a
i
K
2
t
a
P
s
b
a
u
g
d
e
e
l
r
o
n
a
r
i
s
i
p
r
o
u
d
a
i
n
y
n
o
t
o
e
r
y
k
e
r
s
e
n
t
a
s
e
(
%
)
1
6
1
3
.
3
6
3
3
1
2
5
.
1
8
1
5
.
1
9
1
5
.
3
3
3
3
0
0
.
0
8
0
3
1
3
3
9
0
0
0
8
8
3
3
4
a
1
l
N
P
a
L
T
i
k
m
5
s
k
m
o
4
n
s
l
o
M
3
e
u
a
j
u
u
k
l
g
i
n
g
i
n
d
i
M
b
e
i
F
r
e
2
0
u
k
1
e
n
s
i
P
e
r
s
e
0
n
0
t
a
s
e
(
%
)
l
n
i
o
I
1
3
6
3
3
5
2
1
1
1
2
1
2
6
2
0
0
.
0
0
1
2
v
u
F
e
x
t
i
e
E
2
9
1
.
6
7
6
v
e
3
s
t
e
o
A
4
p
r
i
n
e
V
s
h
p
e
r
m
a
i
n
n
y
T
o
t
.
1
6
7
0
0
.
1
0
6
.
0
6
a
l
3
4
a
L
5
9
e
1
2
0
1
0
0
7
1
2
3
n
i
o
x
I
e
u
c
t
i
o
s
i
a
s
e
E
v
s
v
P
i
e
r
s
e
n
t
a
s
e
(
%
)
P
e
r
s
e
n
t
a
s
e
A
J
e
s
a
i
n
o
g
o
e
l
D
y
a
a
N
n
a
r
i
k
p
e
h
r
a
t
i
a
r
w
a
b
n
d
i
p
5
a
k
a
g
a
t
e
r
a
n
l
o
k
a
s
t
m
g
i
i
k
r
k
p
t
g
s
e
u
n
a
e
r
k
a
u
n
l
e
n
d
h
a
d
i
a
m
n
g
k
T
o
t
i
p
e
u
n
a
a
j
L
u
n
l
d
h
a
d
i
m
T
a
n
g
k
a
u
7
6
3
5
2
.
5
9
3
.
3
3
3
9
8
8
1
.
6
6
7
6
1
.
6
6
7
8
6
7
1
.
6
6
7
6
8
.
3
3
3
6
7
5
5
.
8
3
3
5
9
5
.
8
3
3
1
2
0
1
0
0
.
0
0
0
2
9
3
.
3
3
3
1
2
0
1
0
0
.
0
0
0
1
2
0
2
1
1
1
1
2
0
2
2
i
3
3
1
3
2
9
2
3
2
2
2
6
3
7
3
2
3
7
e
r
s
e
n
t
a
s
e
(
%
)
e
(
%
)
l
1
d
a
1
o
t
5
9
e
r
5
8
.
3
3
k
4
.
1
6
7
a
k
t
1
e
r
k
e
n
a
2
0
1
P
J
M
l
m
e
r
s
e
0
n
0
t
a
s
l
a
Y
T
i
d
a
1
1
1
2
2
9
3
o
t
i
p
e
u
n
a
a
j
3
3
6
.
6
6
7
a
l
L
3
.
k
8
T
u
n
l
d
h
a
d
m
i
a
n
g
k
a
u
0
1
P
J
j
m
e
r
s
e
0
n
0
t
a
s
e
(
%
)
a
s
e
(
%
)
l
a
1
Y
T
i
d
a
2
0
1
0
o
t
r
0
a
1
l
e
0
k
0
T
k
t
e
r
k
M
e
n
a
2
0
1
P
J
l
m
e
r
s
e
0
n
0
t
l
a
1
Y
T
i
d
a
2
0
1
o
t
2
0
1
0
0
k
0
T
0
a
l
1
5
3
P
J
m
l
s
a
6
5
a
y
1
a
k
n
.
2
1
j
Y
T
o
a
9
4
2
s
b
a
l
a
a
0
0
u
a
j
l
k
w
a
M
o
a
i
8
j
e
n
l
L
J
u
a
u
f
a
4
1
7
u
e
y
i
j
d
M
n
9
1
H
o
a
n
m
m
a
a
0
0
4
(
%
)
b
a
g
k
4
e
p
e
n
t
i
n
g
a
n
a
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
e
n
t
i
n
P
g
e
n
t
i
n
g
N
P
o
d
e
p
M
1
a
k
a
i
a
n
e
l
P
r
o
u
d
n
a
r
i
e
n
t
b
e
r
a
r
i
n
g
k
0
m
k
i
a
s
0
4
2
4
9
i
1
2
3
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
0
l
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
1
3
8
k
l
e
a
k
e
s
u
e
K
5
e
m
r
u
h
a
0
0
0
0
4
0
n
l
T
P
T
+
6
9
P
P
+
S
P
o
e
r
y
n
a
t
a
a
n
N
u
J
o
d
e
p
M
1
a
k
a
i
a
n
e
l
P
r
o
u
d
n
a
r
i
b
e
r
a
r
i
P
e
r
s
e
n
t
s
s
(
e
%
)
J
u
h
a
m
l
k
0
a
a
l
m
k
h
a
m
0
1
2
0
i
4
2
3
.
3
3
3
1
1
6
.
8
3
3
1
1
9
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
a
k
e
s
u
e
r
u
h
a
n
e
r
j
0
0
1
2
0
0
0
1
2
0
n
l
i
0
k
l
e
k
1
l
K
5
e
m
i
a
n
v
i
a
o
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
u
a
P
s
u
a
s
N
P
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
u
b
e
r
a
r
i
s
k
0
m
k
a
a
s
1
7
8
3
2
9
7
6
i
1
2
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
2
l
0
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
4
0
4
6
k
l
e
a
k
e
s
u
e
K
5
e
m
r
u
h
a
0
8
9
2
0
2
9
8
n
l
2
T
1
P
9
T
+
6
3
P
P
S
P
o
e
r
y
n
a
t
a
a
n
N
u
J
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
b
e
r
a
r
i
1
a
s
P
e
r
s
e
n
t
a
s
(
e
%
)
J
u
h
a
l
m
l
k
m
k
h
a
m
7
1
4
1
.
7
1
0
3
i
2
3
0
2
6
0
5
5
.
0
0
9
0
.
0
0
6
0
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
e
t
a
s
p
r
o
u
d
l
e
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
0
k
l
a
k
e
K
5
d
m
s
u
e
r
u
h
a
8
6
.
6
7
1
1
2
2
1
.
6
7
1
1
8
n
l
e
x
e
a
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
u
a
s
P
u
a
N
P
o
1
d
e
p
M
P
a
k
a
i
a
n
e
l
r
o
d
u
m
k
b
e
r
a
2
v
r
i
a
s
n
a
r
i
u
a
9
s
k
0
1
8
8
0
1
8
8
3
i
4
s
5
+
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
1
l
1
r
a
p
h
i
a
n
p
r
o
4
0
u
d
k
s
e
a
c
r
2
5
2
6
8
1
5
8
1
k
l
e
a
k
e
s
u
e
K
5
e
m
r
u
h
a
4
n
6
l
1
T
7
P
1
T
+
1
8
9
3
P
P
S
P
o
e
r
y
n
a
t
a
a
n
N
u
J
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
b
e
r
a
r
i
a
s
P
e
r
s
e
n
t
a
s
(
e
%
)
J
u
h
a
l
m
l
k
m
k
h
a
m
1
8
1
1
8
5
3
2
6
2
2
1
1
5
.
0
.
0
0
1
0
2
i
2
1
5
0
1
0
2
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
l
e
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
a
k
e
s
u
e
r
u
h
a
b
l
m
m
a
n
i
4
.
1
7
6
1
.
6
7
9
7
.
5
7
4
n
l
s
4
k
l
K
5
e
m
0
9
9
p
a
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
e
n
t
i
n
g
P
e
n
t
i
n
g
N
P
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
e
n
t
b
e
r
a
r
i
n
g
k
0
m
k
i
a
s
0
1
3
3
1
5
1
i
1
2
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
d
n
s
i
s
t
e
n
s
i
u
k
a
i
t
a
s
p
r
o
u
d
0
l
e
r
a
p
h
i
a
n
p
r
o
u
d
k
s
e
a
c
r
1
5
0
0
1
6
0
0
1
7
k
l
a
k
e
s
u
e
K
5
e
m
o
K
4
r
u
h
a
n
l
a
n
g
a
T
t
i
d
a
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
u
a
s
P
u
a
s
a
s
N
P
o
d
e
p
M
1
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
u
b
e
r
a
r
i
s
k
0
m
k
a
a
s
3
3
0
i
1
2
1
2
2
1
1
6
2
7
v
e
s
e
u
s
a
i
a
h
n
a
r
g
a
d
e
n
g
a
n
o
K
3
o
n
s
i
s
t
e
n
s
i
u
k
a
i
K
4
d
t
a
s
p
r
o
u
d
4
l
e
r
a
p
h
i
a
n
p
r
o
1
4
k
0
l
u
d
k
s
e
a
c
r
a
k
e
s
u
e
K
5
e
m
r
u
h
a
3
n
0
l
a
n
g
0
a
T
t
i
d
a
3
0
k
S
P
o
e
r
y
n
a
t
a
a
T
n
i
d
a
P
k
u
a
s
P
u
N
P
o
1
d
e
p
M
P
a
k
a
i
a
n
e
l
r
o
u
d
n
a
r
i
b
e
r
a
r
i
a
s
k
0
m
k
u
a
s
2
3
4
i
0
2
1
3
3
2
3
8
2
9
5
2
8
v
e
3
s
e
u
s
a
i
a
h
n
a
r
o
d
e
n
g
a
n
o
K
d
e
n
s
i
s
t
e
n
s
i
u
k
a
i
t
a
s
p
r
o
u
d
1
l
r
a
p
i
h
a
n
p
r
o
d
0
u
k
s
e
c
a
r
a
1
1
k
l
e
5
a
m
K
4
g
K
k
e
s
u
e
l
r
u
h
a
n
3
9
0
+
b
a
g
w
a
J
a
b
a
n
5
t
r
i
u
b
X
t
f
X
f
A
e
S
a
n
g
a
P
t
e
n
t
i
n
T
g
o
t
u
a
l
l
4
2
3
9
2
a
S
l
e
r
i
n
g
S
w
i
t
h
c
e
3
4
2
4
2
1
2
6
r
S
a
J
7
8
6
7
8
1
1
2
0
1
2
0
1
2
0
1
2
0
1
2
0
r
T
i
a
d
n
g
a
k
p
e
r
n
1
T
o
0
1
t
8
5
0
1
5
a
a
1
r
a
t
2
0
3
1
3
a
-
R
t
5
t
1
l
a
8
0
h
a
a
n
d
a
r
e
S
i
a
s
i
D
v
P
e
r
s
e
n
t
a
s
w
e
i
t
h
c
e
r
S
P
+
S
P
e
r
s
e
n
t
a
s
e
(
%
)
t
1
0
r
i
u
b
w
a
J
a
b
a
n
X
t
f
X
f
0
A
a
9
6
.
6
6
7
9
9
.
1
6
7
b
i
u
t
0
1
0
0
a
t
s
e
u
t
u
j
e
u
t
u
y
4
2
8
1
1
2
5
1
3
5
u
S
e
j
3
4
r
T
0
g
a
l
b
1
n
S
a
H
i
d
a
k
s
e
u
t
u
2
j
a
n
g
a
t
t
i
d
a
k
s
e
u
t
j
o
t
a
t
7
2
1
1
1
1
1
a
l
a
r
1
a
t
2
0
3
3
0
a
-
R
t
6
u
S
T
3
a
n
d
a
r
e
S
i
a
s
i
D
v
a
n
g
a
P
t
u
a
T
s
o
t
a
S
l
P
e
r
s
e
n
t
a
s
w
e
i
t
h
c
e
r
S
2
0
1
4
1
4
2
0
2
0
1
2
0
1
2
0
1
2
0
1
2
0
1
2
0
r
i
u
b
a
b
a
n
X
t
a
8
w
a
J
t
f
X
f
A
8
n
g
a
t
u
p
a
s
S
4
P
u
a
1
t
i
s
i
f
e
5
2
%
3
a
3
s
7
1
0
0
0
.
0
2
1
3
d
S
P
+
T
S
i
d
a
k
u
p
a
s
2
u
b
P
e
r
s
e
n
t
a
s
e
(
%
y
e
)
a
n
g
a
t
t
i
d
a
k
u
p
a
.
8
5
.
0
0
.
0
0
o
t
l
t
a
0
6
6
r
1
a
t
2
0
3
3
1
a
-
R
t
5
0
a
3
a
7
6
s
1
T
5
0
r
S
8
3
a
n
d
a
r
e
S
i
a
s
i
D
v
P
9
3
.
3
3
9
8
.
3
3
e
r
s
e
n
t
a
s
w
e
i
t
h
c
e
r
S
J
t
r
i
u
b
a
w
a
b
a
n
X
t
f
X
f
A
a
n
g
a
P
t
u
a
s
T
o
t
a
S
l
a
n
g
a
t
u
s
k
S
i
k
i
n
g
h
t
a
4
1
9
3
6
6
2
2
7
7
6
e
u
k
a
L
1
9
1
8
1
2
0
1
2
0
S
b
r
a
n
1
9
8
d
T
i
d
a
k
s
u
k
a
5
4
a
1
6
1
2
0
1
2
0
1
2
0
n
g
a
t
t
i
d
0
o
1
t
t
k
a
4
8
8
a
a
r
1
a
t
2
0
3
3
6
a
-
R
t
7
u
s
l
a
1
k
1
T
1
a
S
a
n
d
a
r
e
S
i
a
s
i
D
v
P
e
r
s
e
n
t
a
s
w
e
i
t
h
c
e
r
S
P
+
S
P
e
r
s
e
n
t
a
8
5
.
0
8
5
.
0
5
5
.
s
(
e
%
)
0
w
a
J
a
b
a
n
0
t
8
r
i
u
b
X
t
f
X
f
3
A
e
7
8
3
.
3
i
C
8
2
5
.
t
t
e
l
l
4
e
r
i
n
u
y
e
a
r
T
i
a
d
n
a
k
p
e
r
n
t
t
a
r
t
a
a
n
d
a
r
e
i
a
s
i
D
v
P
t
e
n
t
i
n
g
T
o
t
a
l
P
e
r
s
e
n
t
a
s
w
e
S
2
4
1
8
2
1
2
1
2
a
n
g
0
a
t
P
u
a
s
T
3
7
3
7
3
7
3
7
3
7
o
t
a
S
l
4
3
3
7
7
a
n
g
a
t
P
u
a
s
T
3
7
3
7
3
7
3
7
3
7
o
t
a
S
l
1
3
2
0
1
3
7
3
7
3
7
3
7
3
7
3
1
6
3
2
1
1
8
1
8
1
a
-
R
t
S
a
6
2
1
8
9
a
l
g
3
h
a
o
a
n
2
g
T
a
9
r
J
S
3
g
S
b
2
d
m
0
u
a
S
o
i
t
c
h
e
r
2
0
3
3
1
n
i
o
I
v
X
²
f
5
2
1
9
7
1
6
6
²
1
6
4
0
9
0
X
f
4
²
%
3
6
8
5
1
8
.
3
1
3
7
8
5
3
2
.
3
9
.
3
1
6
0
2
2
5
5
3
4
2
.
0
.
0
1
0
0
.
0
0
0
f
2
2
4
5
1
1
1
1
8
5
9
2
.
2
.
6
2
2
1
1
1
1
.
2
3
9
9
0
0
x
f
2
7
-
x
f
2
f
x
n
f
2
/
8
-
/
1
6
.
4
0
8
3
1
1
8
1
8
1
8
1
8
1
4
1
%
5
4
1
.
7
n
i
o
I
v
7
2
X
²
f
8
4
0
1
2
1
1
2
5
9
6
2
4
²
6
9
4
1
2
2
X
f
4
8
3
2
4
0
5
2
8
4
1
7
7
1
8
0
4
.
0
0
0
9
.
2
9
1
1
.
0
0
0
2
.
8
6
1
9
.
0
0
0
7
0
0
.
0
1
0
0
8
.
7
6
2
3
0
5
4
.
4
1
1
.
%
4
1
6
2
²
8
.
4
5
%
6
0
8
.
3
n
i
o
I
v
1
5
X
²
f
6
9
0
4
9
²
1
6
1
0
9
0
4
f
X
2
²
0
6
3
1
2
%
8
1
9
3
0
2
9
9
6
7
4
.
1
.
8
5
.
9
9
2
3
3
2
3
0
.
.
0
0
0
0
8
.
1
0
8
3
3
3
0
1
3
6
6
1
6
4
6
9
2
.
7
6
7
.
3
2
3
7
3
7
.
6
3
0
0
4
%
7
0
.
0
0
n
i
o
I
v
3
4
6
3
7
X
²
f
1
5
2
²
1
6
6
9
9
4
f
3
X
²
0
5
1
9
0
%
4
1
9
4
.
8
7
4
3
8
0
.
7
7
8
6
9
.
2
3
2
3
2
3
.
.
0
8
0
0
0
0
0
.
4
5
6
5
4
5
1
1
8
0
1
2
3
8
.
0
1
4
1
.
6
3
5
0
0
8
.
1
5
4
%
7
0
8
.
3
n
i
o
I
v
5
2
3
5
X
²
f
9
6
2
5
3
2
0
9
1
X
f
6
9
3
9
6
5
6
6
1
8
.
7
.
7
6
4
9
%
7
1
.
6
7
0
%
8
5
7
8
4
7
8
1
1
1
2
²
6
4
4
7
²
8
1
0
2
7
5
.
5
.
0
8
1
f
.
0
9
8
1
4
0
7
3
9
0
.
0
1
.
5
0
0
1
1
8
0
8
1
.
0
0
0
.
4
7
5
1
8
n
a
t
a
0
l
0
1
1
9
9
0
4
4
2
3
5
b
u
2
m
e
P
1
5
5
l
3
3
0
8
5
4
1
e
8
6
9
6
9
m
9
2
1
p
8
.
.
9
a
0
.
1
.
3
.
9
3
S
4
2
5
i
6
3
1
9
7
9
s
3
0
9
6
r
4
9
3
5
0
o
0
9
9
9
2
1
1
1
2
p
o
0
.
0
P
.
0
.
0
.
0
.
r
k
d
u
d
u
4
4
8
2
5
5
8
4
0
6
8
8
1
6
8
1
1
n
3
2
0
9
7
3
3
8
6
3
5
9
e
2
1
l
p
m
j
4
8
g
l
.
2
n
n
g
2
d
u
a
n
9
t
i
d
u
k
a
1
n
m
a
u
a
r
B
g
a
e
B
l
o
c
g
n
g
n
r
l
K
e
n
l
o
m
u
b
g
o
j
o
j
u
U
R
e
C
B
o
o
S
u
4
1
m
2
3
5
o
4