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Evaluation Warning : The document was created with Spire.PDF for Python.
IS
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n
d
i
t
i
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n
s
c
a
n
b
e
de
f
i
n
e
d
a
s
:
k
T
k
k
k
k
k
k
d
g
x
f
d
x
f
)
(
)
(
(18c
)
k
T
k
k
T
k
d
g
d
g
1
(18d)
T
h
e
a
c
c
e
l
e
r
a
t
i
ng
S
c
h
e
m
e
f
o
r
W
o
l
f
e
l
i
n
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e
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r
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t
e
c
hni
que
i
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s
f
o
l
l
ow
s
:
k
k
k
k
k
d
x
x
1
;
k
k
k
b
a
/
(18e
)
k
k
k
z
k
T
z
k
k
k
k
T
k
k
k
d
x
z
and
z
f
g
d
g
g
b
d
g
a
)
(
,
)
(
,
.
(18f
)
H
e
n
c
e
,
i
f
0
k
b
.
T
h
e
n
e
w
e
s
t
i
m
a
t
i
o
n
o
f
t
h
e
s
o
l
ut
i
o
n
i
s
c
o
m
put
e
d
a
s
,
k
k
k
k
k
d
x
x
1
,
e
l
s
e
k
k
k
k
d
x
x
1
.
F
o
r
t
hi
s
r
e
a
s
o
n,
us
i
ng
t
h
e
de
f
i
ni
t
i
o
n
s
of
k
k
k
y
s
g
,
,
a
n
d
t
h
e
a
b
ov
e
a
c
c
e
l
e
r
a
t
i
o
n
s
c
h
e
m
e
c
a
n
p
r
e
s
e
n
t
t
h
e
a
c
c
e
l
e
r
a
t
e
d
W
o
l
f
e
l
i
n
e
s
e
a
r
c
h
p
r
o
c
e
d
ur
e
.
N
O
TE
:
(
F
o
r
th
e
r
e
s
t
o
f
th
i
s
p
ap
e
r
,
an
d
fo
r
s
i
m
p
l
i
c
i
ty
,
s
e
t
*
k
g
=
k
g
,
*
k
y
=
k
y
).
F
i
r
s
t
M
u
l
ti
-
S
te
p
Th
r
e
e
-
T
e
r
m
C
G
-
M
e
th
o
d
(N
1)
T
o
c
o
m
put
e
t
h
e
n
e
w
s
e
a
r
c
h
di
r
e
c
t
i
o
n,
1
1
N
k
d
l
e
t
us
c
o
n
s
i
de
r
t
h
e
Q
N
-
(B
F
G
S
upda
t
e
w
i
t
h
H
=
I).
1
/
1
1
1
k
k
N
k
g
d
(19)
)
/
](
/
1
[
)
/
(
2
/
1
k
T
k
T
k
k
k
T
k
k
k
T
k
k
T
k
k
T
k
k
s
y
s
s
s
y
y
s
y
s
y
y
s
I
(20)
k
k
T
k
k
T
k
k
T
k
k
k
k
T
k
k
T
k
k
HS
k
k
k
s
s
y
g
s
s
y
y
y
s
y
g
s
d
g
d
)
/
](
/
1
[
)
/
(
1
2
1
1
1
(2
1
)
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2502
-
4752
In
do
n
e
s
i
a
n
J
E
l
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c
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&
Co
m
p
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c
i
,
V
o
l
.
19
,
N
o
.
3
,
S
e
pt
e
m
b
e
r
20
20
:
15
64
-
15
73
1568
O
r,
e
qui
v
a
l
e
nt
l
y
:
)
/
1
(
)
/
(
2
1
1
;
k
T
k
k
k
T
k
k
T
k
k
s
y
y
t
s
y
g
s
(2
2
)
)
(
1
1
1
1
k
k
k
k
HS
k
k
N
k
s
t
y
d
g
d
(2
3
a
)
)
(
]
0
),
/
m
a
x
[
(
1
1
1
1
1
k
k
k
k
k
T
k
k
T
k
k
N
k
s
t
y
d
y
d
y
g
g
d
(2
3b
)
O
u
tl
i
n
e
o
f
N
1
-
A
l
go
r
i
th
m
.
S
t1.
G
i
v
e
n
n
R
x
0
,
l
e
t
1
0
,
0
t
a
nd
0
0
g
d
.
S
e
t
0
k
.
S
t2.
If
s
t
o
ppi
ng
c
r
i
t
e
ri
a
(
6
10
k
g
)
s
a
t
i
s
f
i
e
d,
t
h
e
n
s
t
o
p.
S
t3.
Co
m
put
e
k
by
a
c
c
e
l
e
r
a
t
e
d
W
o
l
f
e
l
i
n
e
s
e
a
r
c
h
c
o
n
di
t
i
o
n
(18)
.
S
t4.
T
h
e
p
a
r
a
m
e
t
e
r
s
k
,
1
t
a
r
e
c
o
m
put
e
d
f
r
o
m
(2
2
)
.
S
t5.
T
h
e
n
e
w
s
e
a
r
c
h
di
r
e
c
t
i
o
n
1
1
N
k
d
i
s
c
o
m
put
e
d
f
r
o
m
(2
3
).
S
t6.
C
h
e
c
k
w
h
e
t
h
e
r
(
2
1
1
2
.
0
k
k
T
k
g
g
g
)
i
s
s
a
t
i
s
f
i
e
d
t
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s
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t
1
1
1
k
N
k
g
d
S
t7.
S
e
t
1
k
k
,
go
t
o
S
t
2.
S
e
c
o
n
d
M
u
l
ti
-
S
te
p
Th
r
e
e
-
Te
r
m
C
G
-
M
e
th
o
d
(N
2)
T
o
c
o
m
put
e
t
h
e
n
e
w
s
e
a
r
c
h
di
r
e
c
t
i
o
n
2
1
N
k
d
l
e
t
us
c
o
n
s
i
de
r
A
l
-
B
a
y
a
t
i
[20]
QN
-
upd
a
t
e
w
i
t
h
H
=
I
k
T
k
k
T
k
k
T
k
k
k
T
k
k
k
T
k
k
k
T
k
k
Ba
y
a
t
i
k
s
y
H
y
s
s
y
H
s
s
y
s
y
H
y
H
H
/
)
(
)
)
/(
2
(
2
1
(2
4
)
Let
1
)
2
(
1
1
k
k
k
g
Q
d
;
a
nd
H
=
I
(2
5
)
k
T
k
T
k
k
T
k
k
T
k
k
k
T
k
k
T
k
k
s
y
y
s
s
y
s
s
y
s
y
y
I
Q
/
)
(
)
)
/(
2
(
2
)
2
(
1
(2
6
)
)
/
(
2
/
2
2
1
;
k
T
k
k
k
T
k
k
T
k
k
s
y
y
t
s
y
g
s
(2
7
)
)
(
2
1
2
1
k
k
k
k
HS
k
k
N
k
s
t
y
d
g
d
(2
8
a)
)
(
]
0
,
/
m
a
x
[
2
1
1
2
1
k
k
k
k
k
T
k
k
T
k
k
N
k
s
t
y
d
y
d
y
g
g
d
(2
8
b)
O
u
tl
i
n
e
o
f
N
2
-
A
l
go
r
i
th
m
.
A
l
l
th
e
s
t
e
p
s
as
i
n
A
l
go
r
i
th
m
(N
1)
e
x
c
e
p
t
:
S
t4.
T
h
e
p
a
r
a
m
e
t
e
r
s
k
,
2
t
a
r
e
c
o
m
put
e
d
f
r
o
m
(2
7
).
S
t5.
T
h
e
n
e
w
s
e
a
r
c
h
di
r
e
c
t
i
o
n
2
1
N
k
d
i
s
c
o
m
put
e
d
f
r
o
m
(2
8
).
Th
i
r
d
M
u
l
ti
-
S
te
p
Th
r
e
e
-
Te
r
m
C
G
-
M
e
th
o
d
(N
3)
T
o
c
o
m
put
e
t
h
e
n
e
w
s
e
a
r
c
h
di
r
e
c
t
i
o
n,
3
1
N
k
d
,
l
e
t
us
c
o
n
s
i
de
r
O
r
e
n
[
21]
Q
N
-
up
da
t
e
w
i
t
h
H
=
I.
k
T
k
T
k
k
k
T
k
k
k
T
k
k
k
T
k
T
k
k
k
k
T
k
k
k
O
r
e
n
k
s
y
s
s
s
y
y
H
y
s
y
s
y
H
H
y
s
H
H
/
)
/
(
/
)
(
1
(29)
;
/
k
T
k
k
T
k
k
y
y
y
s
H
=
I
(30)
Evaluation Warning : The document was created with Spire.PDF for Python.
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
IS
S
N
:
2502
-
4752
Ne
w
m
ul
t
i
-
s
t
e
p
t
hr
e
e
-
t
e
r
m
c
on
j
ugat
e
gr
adi
e
nt
a
l
gor
i
t
hm
s
w
i
t
h
i
n
e
x
ac
t
l
i
n
e
s
e
ar
c
h
e
s
(
A
bbas
Y
.
A
l
-
B
a
y
at
i
)
1569
k
T
k
T
k
k
T
k
k
k
T
k
T
k
k
k
T
k
k
T
k
k
T
k
k
s
y
y
s
s
y
y
s
s
s
v
y
y
y
y
y
s
I
Q
/
)
(
/
)
/
/
(
)
3
(
1
(31)
k
k
T
k
k
T
k
k
T
k
k
T
k
k
T
k
k
T
k
k
k
T
k
k
T
k
k
k
T
k
k
T
k
k
k
s
s
y
g
s
s
y
y
y
y
y
y
s
s
y
y
g
y
y
y
y
g
s
g
d
1
1
1
1
1
(32)
)
/
/
(
;
/
3
1
k
T
k
k
T
k
k
T
k
k
T
k
k
T
k
k
s
y
y
y
y
y
y
s
t
v
g
s
(33)
)
(
3
1
3
1
k
k
k
k
HS
k
k
N
k
s
t
y
d
g
d
(34a
)
)
(
]
0
,
/
[
m
a
x
3
1
1
3
1
k
k
k
k
k
T
k
k
T
k
k
N
k
s
t
y
d
y
d
y
g
g
d
(34b
)
O
u
tl
i
n
e
o
f
N
3
-
A
l
go
r
i
th
m
.
A
l
l
th
e
s
t
e
p
s
as
i
n
A
l
go
r
i
th
m
(N
1)
e
x
c
e
p
t
:
S
t4.
T
h
e
p
a
r
a
m
e
t
e
r
s
k
,
3
t
a
r
e
c
o
m
put
e
d
f
r
o
m
(3
3).
S
t5.
T
h
e
n
e
w
s
e
a
r
c
h
di
r
e
c
t
i
o
n
3
1
N
k
d
i
s
c
o
m
put
e
d
f
r
o
m
(34)
.
F
ou
r
th
S
c
al
e
d
M
u
l
ti
-
S
t
e
p
Th
r
e
e
-
Te
r
m
C
G
-
M
e
th
o
d
(N
4)
H
e
r
e
,
w
e
de
s
c
r
i
b
e
o
ur
n
e
w
CG
-
m
e
t
h
o
d
(N
4)
a
s
a
s
c
a
l
e
d
CG
-
a
l
go
ri
t
hm
;
(f
o
r
de
t
a
i
l
s
o
f
s
c
a
l
e
d
CG
-
a
l
go
r
i
t
hm
s
;
s
e
e
A
l
-
B
a
y
a
t
i
,
a
t
e
l
.
[22]
a
n
d
H
a
s
s
a
n
e
t
a
l
.
[23])
.
T
h
i
s
a
l
go
ri
t
hm
i
s
i
n
de
pe
n
de
nt
o
f
t
h
e
l
i
n
e
s
e
a
r
c
h,
a
t
e
v
e
r
y
s
t
e
p.
T
h
e
s
e
a
r
c
h
d
i
r
e
c
t
i
o
n
4
1
N
k
d
i
s
c
o
m
put
e
d
a
s
:
k
k
k
S
PR
k
k
k
N
k
p
s
g
d
1
1
4
1
(35)
)
/
(
k
T
k
k
T
k
k
s
y
s
s
,
k
k
k
k
s
y
p
,
2
1
/
k
k
T
k
k
g
g
s
(36)
k
T
k
k
k
k
k
T
k
k
S
P
R
k
g
g
g
g
g
/
1
1
1
,
(
3
7
)
k
k
k
k
k
T
k
k
k
T
k
k
k
k
k
T
k
k
k
k
N
k
s
y
g
g
s
s
g
g
g
g
g
g
d
2
1
1
1
1
1
1
4
1
/
)
/
(
(
38
)
O
u
tl
i
n
e
o
f
N
4
-
A
l
go
r
i
th
m
.
A
l
l
th
e
s
t
e
p
s
as
i
n
A
l
go
r
i
th
m
(N
1)
e
x
c
e
p
t
:
S
t4.
T
h
e
p
a
r
a
m
e
t
e
r
s
k
,
k
p
,
k
a
r
e
c
o
m
put
e
d
f
r
o
m
(3
6)
.
S
t5.
S
PR
k
a
n
d
t
h
e
n
e
w
s
e
a
r
c
h
di
r
e
c
t
i
o
n
4
1
N
k
d
a
r
e
c
o
m
put
e
d
f
r
o
m
(3
7
)
a
nd
(
38
)
r
e
s
pe
c
t
i
v
e
l
y
.
3.
1
C
O
N
V
ER
G
EN
C
E
A
N
A
L
Y
S
I
S
D
e
s
c
e
n
t
a
nd
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[
1]
H
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.
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.
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ne
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l
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o
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,
p
p.
95
4
-
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,
2
019
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2]
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e
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l
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.
M
.
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hods
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e
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r
k
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o
o
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s
m
a
,
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.
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.
,
pp
.
39
-
43
,
1
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.
[
3]
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a
z
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r
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t
h,
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l
.
23
,
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p
p.
37
3
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7
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77
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[
4]
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l
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4
,
p
p.
629
–
640
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200
6
.
[
5]
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ha
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,
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.
Z
ho
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L
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,
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.
,
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g
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pt
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m
i
z
at
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on
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e
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hod
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f
t
w
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v
o
l
.
22
,
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4
,
p
p.
69
7
–
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1
,
20
07
.
[
6]
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ha
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L
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o
,
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.
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.
,
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nj
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r
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d
o
pt
i
m
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t
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o
n,
”
M
a
t
h
.
P
r
ob.
E
ng
.,
v
o
l
.
200
9,
pp
.
1
-
16
,
2009
.
[
7]
D
a
i
,
Y
.
a
nd
L
i
a
o
,
L
.
,
“
N
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w
c
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nj
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c
y
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l
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nj
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r
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t
ho
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,
A
p
pl
.
M
a
t
h
O
pt
i
m
.
,
v
o
l
.
43
,
no
.
1
,
pp
.
87
-
101
,
2001
.
[
8]
Al
-
B
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y
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t
i
,
A
.
Y
.
a
n
d,
S
ha
r
i
f
,
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.
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.
,
“
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h
r
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nj
ug
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unc
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ns
t
r
a
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ne
d
o
pt
i
m
i
z
a
t
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o
n,
”
C
anad
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an
.
J
.
S
c
i
.
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ng
.
M
a
t
h
.
,
v
o
l
.
1
,
no
.
5
,
pp
.
1
08
–
124
,
2010
.
Evaluation Warning : The document was created with Spire.PDF for Python.
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,
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l
.
48
,
no
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2
,
pp
.
1
-
14
,
20
11
.
[
10]
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-
B
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,
A
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Y
.
a
nd
A
l
-
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ha
y
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,
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.
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.
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l
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2
,
pp
.
27
-
45
,
20
14
.
[
11]
P
e
r
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,
A
.
,
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m
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f
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nj
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r
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,
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pe
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at
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on
s
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s
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ar
c
h
,
v
o
l
.
26
,
no
.
6
,
p
p.
10
73
–
1
078
,
1978
.
[
12]
S
ha
nno
,
D
.
,
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o
nj
ug
a
t
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g
r
a
d
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n
t
m
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t
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i
ne
xa
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t
s
e
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r
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he
s
,
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M
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t
h
.
of
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r
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n
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s
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ar
c
h
,
v
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l
.
3
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no
.
3
,
pp.
24
4
-
256
,
1
978
.
[
13]
D
e
nni
s
,
J
.
E
.
,
J
r
.
,
a
nd
S
c
hn
a
be
l
,
R
.
E
.
N
um
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r
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c
al
m
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or
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o
ns
t
r
ai
ne
d
op
t
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m
i
z
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t
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on
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l
i
ne
ar
e
qua
t
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o
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,
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e
w
J
e
r
s
e
y
:
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r
e
nt
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c
e
-
H
a
l
l
,
198
3
.
[
14]
H
a
s
s
a
n,
B
.
A
.
,
“
A
ne
w
c
l
a
s
s
o
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up
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i
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o
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ul
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ba
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u
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i
-
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w
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ua
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o
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ndone
s
i
an
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our
nal
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l
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c
t
r
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c
a
l
E
ngi
ne
e
r
i
ng
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om
p
ut
e
r
Sc
i
e
nc
e
,
v
o
l
.
13
,
n
o
.
3,
p
p.
94
5
-
953
,
2
019
.
[
15]
Al
-
B
a
y
a
t
i
A
.
Y
;
A
hm
e
d,
H
.
I
.
a
nd
H
a
m
e
d,
E
.
T
.
,
“
A
ne
w
h
y
br
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d
a
l
g
o
r
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o
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o
pt
i
m
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z
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t
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o
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i
ndaw
i
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ou
r
na
l
of
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pl
i
e
d
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a
t
he
m
at
i
c
s
,
v
o
l
.
20
19
,
pp
.
1
-
6
,
201
9
.
[
16]
N
a
z
a
r
e
t
h
L
.
a
n
d
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o
c
e
da
l
J
.
,
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r
o
pe
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t
i
e
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o
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G
m
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t
ho
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w
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t
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r
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m
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e
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pe
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o
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s
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a
r
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h,
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t
a
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o
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d
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ni
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r
s
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t
y
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U
S
A
,
19
78
.
[
17]
N
o
c
e
da
l
,
J
.
,
“
C
o
nj
ug
a
t
e
g
r
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d
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e
nt
m
e
t
ho
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nd
no
nl
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a
r
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pt
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m
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z
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t
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o
n,
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i
ne
ar
an
d
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on
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ne
ar
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onj
ug
at
e
G
r
ad
i
e
nt
R
e
l
at
e
d
M
e
t
ho
ds
,
p
p.
9
–
23
,
1996
.
[
18]
L
i
u,
D
.
C
.
a
n
d
N
o
c
e
da
l
,
J
.
,
“
O
n
t
h
e
l
i
m
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t
e
d
m
e
m
o
r
y
B
F
G
S
m
e
t
ho
d
f
o
r
l
a
r
g
e
s
c
a
l
e
o
pt
i
m
i
z
a
t
i
o
n,
”
M
at
he
m
at
i
c
al
P
r
ogr
am
,
v
o
l
.
45
,
no
.
1
-
3
,
pp
.
503
–
52
8
,
19
89
.
[
19]
A
ndr
e
i
,
N
.
“
A
c
c
e
l
e
r
a
t
i
o
n
o
f
c
o
nj
ug
a
t
e
g
r
a
di
e
nt
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l
g
o
r
i
t
hm
s
f
o
r
unc
o
ns
t
r
a
i
n
e
d
o
pt
i
m
i
z
a
t
i
o
n,
”
A
pp
l
i
e
d
M
a
t
he
m
at
i
c
al
C
om
put
at
i
ona
l
,
v
o
l
.
pp
.
213
,
no
.
2
,
pp
.
361
–
369
,
2009
.
[
20]
Al
-
B
a
y
a
t
i
,
A
.
Y
.
,
“
A
ne
w
f
a
m
i
l
y
o
f
s
e
l
f
-
s
c
a
l
i
ng
v
a
r
i
a
b
l
e
m
e
t
r
i
c
a
l
g
o
r
i
t
hm
s
f
o
r
unc
o
ns
t
r
a
i
n
e
d
o
pt
i
m
i
z
a
t
i
o
n,
”
J
ou
r
na
l
of
E
duc
.
and
S
c
i
.
,
U
n
i
v
e
r
s
i
t
y
of
M
os
ul
,
I
r
aq
,
v
o
l
.
12
,
pp.
25
-
54
,
19
9
1
.
[
21]
O
r
e
n
,
S
.
S
.
,
“
O
n
t
he
s
e
l
e
c
t
i
o
n
o
f
pa
r
a
m
e
t
e
r
s
i
n
s
e
l
f
-
s
c
a
l
i
ng
v
a
r
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a
b
l
e
m
e
t
r
i
c
a
l
g
o
r
i
t
hm
s
,
”
M
at
he
m
at
i
c
al
P
r
ogr
am
m
i
n
g
,
v
o
l
.
7
,
no
.
1
,
pp
.
351
-
3
67
,
1
974
.
[
22]
Al
-
B
a
y
a
t
i
A
.
Y
.
;
H
a
m
e
d
,
E
.
T
.
a
nd
Al
-
K
a
w
a
z
,
R
.
Z
.
,
“
N
e
w
i
nv
e
s
t
i
g
a
t
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o
n
f
o
r
T
he
L
i
u
-
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t
o
r
y
S
c
a
l
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d
c
o
nj
ug
a
t
e
g
r
a
d
i
e
n
t
m
e
t
ho
ds
f
o
r
no
nl
i
ne
a
r
o
pt
i
m
i
z
a
t
i
o
ns
,
”
H
i
ndaw
i
,
J
our
nal
o
f
M
at
he
m
at
i
c
s
,
v
o
l
.
20
20
,
p
p.
1
-
12
,
2020
.
[
23]
H
a
s
s
a
n,
B
.
A
.
,
e
t
al
.
,
“
A
ne
w
k
i
n
d
o
f
pa
r
a
m
e
t
e
r
c
o
nj
ug
a
t
e
g
r
a
d
i
e
nt
f
o
r
unc
o
ns
t
r
a
i
n
t
o
pt
i
m
i
z
a
t
i
o
n,
”
I
ndone
s
i
an
J
our
nal
o
f
E
l
e
c
t
r
i
c
a
l
E
ngi
ne
e
r
i
ng
and
C
om
p
ut
e
r
Sc
i
e
nc
e
,
v
o
l
.
17
,
n
o
.
1
,
p
p.
40
4
-
411
,
2
020
.
[
24]
H
e
s
t
e
ne
s
,
M
.
R
.
a
nd
S
t
i
e
f
e
l
,
E
.
“
M
e
t
ho
ds
o
f
t
he
c
o
nj
ug
a
t
e
g
r
a
di
e
n
t
f
o
r
s
o
l
v
i
ng
a
l
i
ne
a
r
s
y
s
t
e
m
,
”
J
o
ur
n
al
of
R
e
s
e
ar
c
h
of
t
he
N
at
i
ona
l
B
ur
e
au
o
f
St
a
nda
r
ds
,
v
o
l
.
49
,
no
.
6
,
pp
.
409
–
436
,
1
952
.
[
25]
P
o
l
a
k,
E
.
a
n
d
R
i
b
i
è
r
e
,
G
.
“
N
o
t
e
S
u
r
l
a
C
o
nv
e
r
g
e
nc
e
de
D
i
r
e
c
t
i
o
ns
C
o
nj
ug
ué
e
,
”
R
e
v
.
F
r
anc
a
i
s
e
I
nf
o
r
m
a
t
R
e
c
he
r
c
he
O
pe
r
at
i
ona
l
l
y
,
3e
A
n
né
e
,
v
o
l
.
16
,
no
.
3
,
p
p.
35
–
43
,
1969
.
[
26]
B
o
ng
a
r
t
z
,
K
.
E
.
,
C
o
nn
A
.
R
.
,
G
o
ul
d
N
.
I
.
a
nd
T
o
i
n
t
,
P
.
L
.
,
“
C
U
T
E
,
c
o
ns
t
r
a
i
n
e
d
a
n
d
unc
o
ns
t
r
a
i
ne
d
t
e
s
t
i
ng
e
nv
i
r
o
nm
e
nt
s
,
”
A
C
M
T
r
ans
.
M
at
h.
So
f
t
w
ar
e
,
v
o
l
.
21
,
no
.
1
,
p
p.
1
23
-
160
,
199
5
.
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