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A
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r
o
b
le
m
s
i
tu
at
io
n
s
.
I
n
th
is
r
e
g
ar
d
,
th
e
p
r
o
b
le
m
o
f
th
e
o
p
er
atin
g
r
ed
is
tr
ib
u
tio
n
o
f
t
h
e
r
eso
u
r
ce
s
h
as
b
ee
n
s
tated
in
[
6
]
-
[
9
]
.
Fo
r
ex
a
m
p
le
in
t
h
e
m
,
th
er
e
i
s
a
p
r
o
p
o
s
ed
m
et
h
o
d
b
ased
o
n
m
at
h
e
m
a
tical
m
o
d
el
o
f
t
h
e
o
p
er
atin
g
co
n
tr
o
l
s
y
s
te
m
w
h
ic
h
p
er
m
it
s
u
s
to
co
n
s
id
er
th
e
r
eq
u
ir
e
m
e
n
ts
f
o
r
ope
r
ativ
it
y
o
f
th
e
d
ec
is
io
n
m
a
k
i
n
g
w
i
th
co
n
ce
r
n
in
g
a
r
ed
is
tr
ib
u
tio
n
o
f
t
h
e
r
eso
u
r
ce
s
a
n
d
th
e
in
f
o
r
m
atio
n
in
co
m
p
l
ete
n
es
s
.
A
n
o
t
h
er
m
o
d
el
is
b
ased
o
n
th
e
m
u
l
tile
v
el
tr
ee
o
f
th
e
h
y
p
er
co
n
v
er
g
ed
s
tr
u
ctu
r
e
d
escr
ip
tio
n
.
A
g
o
al
o
f
u
s
i
n
t
h
is
r
esear
ch
is
to
p
r
o
v
e
t
h
e
o
b
j
ec
tiv
e
f
u
n
c
tio
n
f
o
r
s
ea
r
ch
p
r
o
b
le
m
o
f
t
h
e
r
atio
n
al
r
ed
is
tr
ib
u
tio
n
in
tas
k
s
e
t
s
.
W
e
also
p
r
o
p
o
s
e
a
n
e
w
q
u
al
it
y
d
i
s
tr
ib
u
tio
n
cr
iter
io
n
f
o
r
t
h
e
p
r
o
b
le
m
.
T
h
e
p
ap
er
is
o
r
g
an
ized
as
f
o
llo
w
s
.
T
h
e
b
as
ic
co
n
ce
p
ts
ab
o
u
t
t
h
e
p
r
o
p
o
s
ed
w
o
r
k
ar
e
s
tated
in
th
e
s
ec
o
n
d
s
ec
tio
n
w
h
er
ea
s
th
e
th
ir
d
an
d
f
o
u
r
t
h
s
ec
tio
n
s
r
ep
r
esen
t
all
d
etails
o
f
th
e
w
o
r
k
.
T
h
e
f
if
t
h
s
ec
tio
n
in
c
lu
d
es
n
u
m
er
ica
l
r
esu
lt
s
an
d
th
e
f
in
al
s
ec
tio
n
i
s
th
e
co
n
clu
s
io
n
s
.
2.
F
UNDA
M
E
NT
AL
S O
F
T
H
E
P
RO
P
O
SE
D
M
E
T
H
O
D
Usi
n
g
a
n
e
w
ap
p
r
o
ac
h
to
w
a
r
d
s
th
e
ex
p
lain
ed
r
esear
ch
o
b
j
ec
tiv
e
let
u
s
to
d
ef
in
e
an
d
s
o
lv
e
th
e
p
r
o
b
lem
.
A
s
s
tated
,
t
h
e
o
p
er
a
tin
g
tas
k
r
ed
is
tr
ib
u
tio
n
th
r
o
u
g
h
n
o
d
es
o
f
a
h
y
p
er
co
n
v
er
g
e
d
n
et
w
o
r
k
m
u
s
t
b
e
s
o
lv
ed
b
y
a
n
e
w
ap
p
r
o
ac
h
b
as
ed
o
n
d
is
tr
ib
u
ted
p
r
o
ce
s
s
in
g
.
Fo
r
s
o
lv
i
n
g
t
h
e
p
r
o
b
le
m
,
it
is
n
ec
es
s
ar
y
to
f
i
n
d
t
h
e
ex
is
t
in
g
b
r
ea
k
i
n
g
s
o
f
t
h
e
ta
s
k
s
ets
.
T
h
e
p
r
o
b
le
m
is
s
o
l
v
ed
at
th
e
n
et
w
o
r
k
lev
el
w
h
er
e
th
e
a
v
er
ag
e
p
ac
k
et
d
ela
y
at
th
e
n
et
w
o
r
k
b
ec
o
m
e
s
t
h
e
lo
w
e
s
t
v
alu
e.
T
h
e
m
ai
n
ai
m
is
d
ev
elo
p
m
e
n
t
o
f
a
m
et
h
o
d
f
o
r
s
e
ar
ch
in
th
e
r
atio
n
al
task
re
d
is
tr
ib
u
tio
n
p
r
o
ce
s
s
es
v
ia
th
e
n
o
d
es
o
f
n
et
w
o
r
k
.
I
n
t
h
e
n
e
x
t
t
w
o
s
ec
tio
n
s
,
w
e
f
ir
s
tl
y
f
o
r
m
u
late
th
e
tas
k
re
di
s
tr
ib
u
tio
n
p
r
o
b
le
m
; th
e
n
,
w
e
s
o
l
v
e
it.
3.
T
HE
T
ASK
F
O
RM
UL
I
Z
A
T
I
O
N
T
h
e
o
b
j
ec
tiv
e
f
u
n
ctio
n
f
o
r
co
m
p
u
ti
n
g
q
u
alit
y
co
ef
f
icie
n
t
o
f
r
atio
n
al
b
r
ea
k
in
g
in
tas
k
s
ets
(
Z
)
is
d
eter
m
in
ed
b
y
E
q
u
atio
n
(
1
)
w
h
en
w
e
h
a
v
e
th
e
n
o
d
es
y
а
Y
.
,,
()
11
,
m
a
x
1
y
z
b
a
b
a
h
h
zz
ba
z
F
m
s
u
(
1
)
w
h
er
e
,
m
a
x
z
u
is
th
e
m
a
x
i
m
u
m
v
al
u
e
o
f
task
s
et
s
w
h
ic
h
is
i
n
d
ep
en
d
en
t
f
r
o
m
t
h
e
d
is
tr
ib
u
tio
n
f
o
r
d
eter
m
in
i
n
g
t
h
e
m
a
x
i
m
u
m
(
g
en
er
al)
in
ten
s
it
y
o
f
th
e
tas
k
e
x
ch
a
n
g
e
w
it
h
th
e
n
o
d
es
o
f
t
h
e
n
et
w
o
r
k
ac
co
r
d
in
g
to
th
e
r
elatio
n
o
f
,
,
m
a
x
11
y
z
bi
h
h
zz
bi
uu
.
z
h
is
t
h
e
n
u
m
b
er
o
f
th
e
tas
k
s
u
n
d
er
p
r
o
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s
s
at
th
e
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et
w
o
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k
.
y
h
is
t
h
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et
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eq
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e
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s
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,
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r
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r
th
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f
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w
i
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co
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d
it
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s
[
3
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w
h
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a
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av
ailab
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e
f
o
llo
win
g
eq
u
alit
y
.
1
1
11
y
z
ab
h
h
yz
ab
I
n
th
is
r
esp
ec
t
an
d
in
o
r
d
er
to
ac
ce
p
t
th
e
p
en
alt
y
,
it
is
clea
r
th
at
1,
0
ha
z
z
s
,
1
y
ah
;
,
1
,
1
1
m
a
x
b
h
b
a
y
z
y
zz
bh
ah
ss
,
1
z
bh
.
4.
SO
L
VI
NG
T
H
E
P
RO
B
L
E
M
I
n
h
er
e
,
th
e
s
o
l
v
in
g
m
eth
o
d
w
h
ic
h
p
er
f
o
r
m
s
t
h
e
s
ea
r
ch
a
n
d
also
p
r
o
v
id
es
th
e
b
r
ea
k
i
n
g
f
o
r
th
e
task
s
ets
is
s
tep
b
y
s
tep
s
tated
in
w
h
ich
u
n
d
er
s
o
l
v
in
g
t
h
e
p
r
o
b
lem
at
t
h
e
n
et
w
o
r
k
,
it
p
er
m
it
s
th
e
n
et
w
o
r
k
to
m
i
n
i
m
ize
th
e
a
v
er
ag
e
p
ac
k
e
t d
ela
y
o
f
n
et
w
o
r
k
u
n
d
er
d
is
tr
ib
u
ted
p
r
o
ce
s
s
in
g
o
f
t
h
e
tas
k
s
.
4
.
1
.
T
he
rule
o
f
t
he
m
ini
m
a
l pen
a
lt
ies
T
h
e
b
asic
b
r
ea
k
i
n
g
o
f
th
e
ta
s
k
s
et
s
m
u
s
t
b
e
d
o
n
e
b
y
s
o
l
v
in
g
th
e
p
r
o
b
le
m
at
th
e
n
e
t
w
o
r
k
.
Ne
w
s
u
b
s
et
tin
g
s
r
elate
d
to
th
e
d
is
t
r
ib
u
tio
n
o
f
t
h
e
n
o
d
es
b
ased
o
n
d
is
tr
ib
u
ted
p
r
o
ce
s
s
i
n
g
ca
n
m
in
i
m
ize
av
er
ag
e
p
ac
k
et
d
ela
y
.
T
h
ese
s
u
b
s
etti
n
g
s
ar
e
d
ete
r
m
i
n
ed
b
y
th
e
m
atr
ix
()
z
M
,
f
illed
ac
co
r
d
in
g
to
th
e
r
u
l
e
o
f
m
i
n
i
m
al
p
en
alties
[
4
]
w
h
er
e
th
e
ele
m
en
t
,
ba
z
m
d
eter
m
i
n
e
s
th
e
co
m
p
u
tatio
n
al
r
eso
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r
ce
o
f
t
h
e
n
o
d
e
y
а
Y
,
d
is
tin
g
u
is
h
ed
f
r
o
m
o
th
er
s
f
o
r
t
h
e
s
u
b
tas
k
p
r
o
ce
s
s
i
n
g
o
f
t
h
e
ta
s
k
z
b
Z
.
Fo
r
d
ev
elo
p
in
g
t
h
e
b
asic d
is
tr
ib
u
tio
n
,
a
m
atr
i
x
o
f
p
en
a
lties
z
S
m
u
s
t
b
e
cr
ea
ted
in
w
h
ich
t
h
e
ele
m
e
n
t
,
ba
z
s
d
eter
m
in
e
s
a
p
en
al
t
y
.
I
t
w
i
ll
b
e
u
n
d
er
s
elec
tio
n
f
o
r
th
e
s
u
b
tas
k
of
z
b
b
y
t
h
e
n
o
d
e
y
а
(
in
t
h
e
u
n
it o
f
co
m
p
u
tatio
n
al
r
eso
u
r
ce
)
.
T
h
e
m
ai
n
p
o
in
t
r
elate
d
to
t
h
e
m
i
n
i
m
al
p
en
a
lties
is
to
f
ill
th
e
m
atr
i
x
()
z
M
f
r
o
m
t
h
e
ele
m
e
n
t
,
ba
z
m
i
n
its
s
tep
s
,
f
o
r
w
h
ich
o
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e
s
ar
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at
th
e
m
atr
i
x
z
S
an
d
also
co
r
r
esp
o
n
d
in
g
to
th
e
lo
w
e
s
t
p
en
alt
y
v
alu
e
,
ba
z
s
.
T
h
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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8708
I
n
t J
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lec
&
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m
p
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g
,
Vo
l.
8
,
No
.
3
,
J
u
n
e
2
0
1
8
:
1
6
2
9
–
1635
1632
v
alu
e
m
i
n
,
ba
zy
is
ass
ig
n
ed
to
th
e
ele
m
e
n
t
,
ba
z
m
.
T
h
e
v
alu
es
o
f
th
e
r
eq
u
este
d
co
m
p
u
tatio
n
al
r
eso
u
r
ce
ar
e
ch
an
g
ed
f
o
r
th
e
ta
s
k
p
r
o
ce
s
s
i
n
g
z
b
a
n
d
th
e
av
ai
lab
le
co
m
p
u
ta
tio
n
al
r
eso
u
r
ce
o
f
t
h
e
n
o
d
e
y
а
,
as b
elo
w
.
m
i
n
,
b
b
b
a
z
z
z
y
m
i
n
,
a
a
b
a
y
y
z
y
As
a
f
u
r
t
h
er
co
n
s
id
er
atio
n
in
th
e
m
atr
ix
S
z
,
ea
ch
r
o
w
w
h
i
ch
is
co
r
r
esp
o
n
d
in
g
to
th
e
r
eq
u
est
z
b
i
s
d
elete
d
an
d
th
e
n
ec
es
s
it
y
in
co
m
p
u
tatio
n
al
r
eso
u
r
ce
s
m
u
s
t
b
e
to
tall
y
s
a
tis
f
ied
.
Si
m
ilar
l
y
,
f
o
r
t
h
e
co
lu
m
n
w
h
ic
h
is
co
r
r
esp
o
n
d
in
g
to
th
e
n
o
d
e
y
а
,
th
e
av
ailab
le
co
m
p
u
t
atio
n
al
r
eso
u
r
ce
is
to
tall
y
u
s
e
d
.
A
s
a
g
e
n
er
al
r
u
le
f
o
r
th
e
co
l
u
m
n
a
n
d
r
o
w
,
th
e
a
v
ailab
le
co
m
p
u
tatio
n
al
r
eso
u
r
ce
o
f
th
e
n
o
d
e
y
а
i
s
to
tall
y
u
s
e
d
an
d
th
e
n
ec
es
s
it
y
in
co
m
p
u
tatio
n
al
r
eso
u
r
ce
s
is
s
atis
f
ied
ac
co
r
d
in
g
to
th
e
m
e
n
t
io
n
ed
co
n
d
itio
n
s
.
Fro
m
th
e
r
est
o
f
ele
m
e
n
ts
in
m
atr
i
x
S
z
,
it
is
s
tep
b
y
s
tep
s
elec
ted
ag
a
in
f
o
r
th
e
ele
m
e
n
t
s
w
ith
t
h
e
lo
w
es
t v
al
u
e
o
f
t
h
e
p
en
alt
y
a
n
d
th
e
p
r
o
ce
s
s
o
f
th
e
d
is
tr
ib
u
tio
n
o
f
t
h
e
co
m
p
u
tatio
n
al
r
eso
u
r
ce
s
w
h
ic
h
co
n
ti
n
u
es
u
n
t
il
o
b
tain
i
n
g
t
h
e
r
eq
u
ir
e
m
e
n
ts
(
r
elate
d
to
all
r
eq
u
est
s
o
f
s
e
ts
Z
w
h
ic
h
w
il
l
b
e
s
ati
s
f
ied
f
o
r
th
e
co
m
p
u
tatio
n
al
r
eso
u
r
ce
s
)
.
T
h
e
ze
r
o
v
alu
es a
r
e
also
ass
i
g
n
ed
f
o
r
th
e
u
n
f
illed
m
atr
ix
ele
m
e
n
ts
()
z
M
.
4
.
2
.
T
he
po
t
ent
ia
l sy
s
t
e
m
Fo
r
th
e
te
s
t o
f
t
h
e
b
asic
d
is
tr
ib
u
tio
n
in
o
r
d
er
to
o
p
tim
a
lit
y
,
t
h
e
p
o
ten
tial
s
y
s
te
m
i
s
b
u
i
lt.
T
h
e
p
o
ten
tial
s
y
s
te
m
ca
n
b
e
cr
ea
ted
o
n
l
y
f
o
r
th
e
n
o
n
-
d
e
g
en
er
ate
d
d
i
s
tr
ib
u
tio
n
p
lan
s
.
T
h
e
d
is
tr
ib
u
t
io
n
p
la
n
is
n
o
n
-
d
eg
en
er
ate
s
i
f
t
h
e
n
u
m
b
er
o
f
th
e
m
a
tr
ix
ele
m
e
n
ts
a
y
p
is
n
o
t
eq
u
al
to
ze
r
o
an
d
is
eq
u
al
to
1
zy
hh
[
5
]
.
W
h
ile
cr
ea
tin
g
t
h
e
b
as
ic
d
is
tr
ib
u
tio
n
,
t
h
e
ze
r
o
ele
m
en
t
s
o
f
m
atr
i
x
()
z
M
ar
e
less
t
h
an
1
zy
hh
,
n
a
m
el
y
,
th
e
d
is
tr
ib
u
t
io
n
p
lan
is
d
eg
en
er
ate
d
.
Fo
r
ea
ch
n
o
d
e
y
а
,
a
p
o
ten
tial
a
y
p
is
as
s
ig
n
ed
f
o
r
ea
ch
r
eq
u
est
z
b
an
d
t
h
e
p
o
ten
tial
b
z
p
.
T
h
e
p
o
ten
tials
b
z
p
an
d
b
z
p
ar
e
s
elec
te
d
to
w
ar
d
s
ea
ch
ze
r
o
ele
m
e
n
t
of
()
z
M
.
Th
is
is
f
o
r
th
e
co
n
d
itio
n
,
b
a
b
a
z
y
z
p
p
s
,
an
d
f
o
r
ze
r
o
ele
m
en
t
of
()
z
M
,
th
e
co
n
d
itio
n
,
b
a
b
a
z
y
z
p
p
s
ex
i
s
ts
.
W
h
en
th
e
n
u
m
b
er
o
f
all
p
o
ten
tial
s
i
s
eq
u
a
l
to
zy
hh
(
an
d
is
n
o
t
ze
r
o
),
th
e
n
f
o
r
t
h
e
d
eter
m
i
n
atio
n
o
f
v
al
u
e
s
b
z
p
an
d
a
y
p
,
th
er
e
is
a
s
o
lu
tio
n
b
ased
o
n
s
o
lv
in
g
t
h
e
eq
u
atio
n
s
y
s
te
m
as
,
b
a
b
a
z
y
z
p
p
s
w
it
h
t
h
e
u
n
k
n
o
w
n
p
ar
a
m
eter
s
.
Fo
r
th
is
p
u
r
p
o
s
e
an
d
u
n
d
er
an
u
n
k
n
o
w
n
v
alu
e,
a
n
ar
b
itra
r
y
v
al
u
e
i
s
ass
ig
n
ed
.
T
h
er
ef
o
r
e,
th
e
s
y
s
te
m
h
as
t
h
e
u
n
iq
u
e
s
o
lu
tio
n
.
4
.
3
.
T
he
ba
s
ic
e
s
t
i
m
a
t
io
n
Fo
r
ea
ch
ze
r
o
ele
m
en
t
o
f
m
a
tr
ix
()
z
M
,
th
e
v
al
u
e
o
f
it
s
b
asic
e
s
ti
m
atio
n
is
ca
lcu
la
ted
,
w
h
ic
h
i
s
d
eter
m
in
ed
b
y
t
h
e
d
i
f
f
er
e
n
c
e
b
et
w
ee
n
t
h
e
p
e
n
alt
y
v
al
u
e
b
,
a
z
s
an
d
t
h
e
p
o
te
n
tial
s
u
m
m
a
r
y
ba
zy
pp
,
co
r
r
esp
o
n
d
in
g
to
th
e
a
s
s
i
g
n
ed
ele
m
e
n
t.
T
h
e
p
lan
is
r
atio
n
al
,
i
f
t
h
e
co
m
p
u
ted
v
al
u
es o
f
th
e
b
asic
esti
m
atio
n
s
of
,
ba
s
r
f
o
r
all
ze
r
o
ele
m
e
n
t
s
of
,
ba
z
m
in
t
h
e
m
atr
i
x
()
z
M
w
ill
b
e
n
o
n
-
n
e
g
ati
v
e,
i.e
.
0
b
,a
b
,a
b
a
s
z
z
y
r
s
p
p
.
I
f
o
n
e
o
f
th
e
ca
lcu
lated
esti
m
atio
n
s
b
ec
o
m
e
s
n
e
g
ati
v
e,
th
e
p
r
o
p
o
s
ed
r
ed
is
tr
ib
u
tio
n
o
f
th
e
co
m
p
u
tatio
n
al
r
eso
u
r
ce
s
is
p
er
f
o
r
m
ed
.
Fo
r
th
is
p
u
r
p
o
s
e,
th
e
ele
m
e
n
t
b
,
a
z
m
is
s
elec
ted
f
r
o
m
th
e
m
atr
i
x
()
z
M
,
in
w
h
ich
th
e
b
as
ic
esti
m
atio
n
g
ets
t
h
e
m
i
n
i
m
al
n
e
g
ati
v
e
v
al
u
e.
Fo
r
th
e
s
e
l
ec
ted
ele
m
e
n
t
b
,
a
z
m
in
t
h
e
m
a
tr
ix
()
z
M
,
a
clo
s
ed
c
o
n
to
u
r
is
m
ad
e
.
T
h
e
clo
s
ed
co
n
to
u
r
r
ep
r
esen
ts
t
h
e
co
n
s
is
te
n
c
y
o
f
t
h
e
m
atr
i
x
el
e
m
en
ts
()
z
M
an
d
t
w
o
co
n
tig
u
o
u
s
i
te
m
s
w
h
i
ch
ar
e
lo
ca
ted
i
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a
s
a
m
e
r
o
w
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in
a
s
a
m
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co
l
u
m
n
(
o
r
t
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la
s
t
ele
m
e
n
t
w
h
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h
i
s
lo
ca
ted
in
th
e
s
a
m
e
r
o
w
a
n
d
co
lu
m
n
as t
h
e
f
ir
s
t
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Op
era
tin
g
Ta
s
k
R
ed
is
tr
ib
u
tio
n
in
Hyp
erco
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(
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d
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1633
4
.
4
.
T
he
rule
f
o
r
t
he
o
pti
m
izing
c
o
nto
ur
T
h
e
ze
r
o
elem
e
n
t
,
ba
z
m
o
f
th
e
m
at
r
ix
()
z
M
,
f
o
r
w
h
ich
,
ba
s
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tak
es
th
e
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i
n
i
m
al
n
e
g
ati
v
e
v
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lu
e,
is
s
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ted
b
y
th
e
f
ir
s
t
ele
m
e
n
t
o
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e
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s
ed
co
n
to
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r
.
O
th
er
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m
en
ts
o
f
t
h
e
clo
s
ed
co
n
to
u
r
ar
e
s
elec
ted
f
r
o
m
t
h
e
m
atr
i
x
ele
m
e
n
t
s
()
z
M
,
an
d
d
if
f
er
en
t f
r
o
m
t
h
e
ze
r
o
.
B
y
h
av
i
n
g
o
n
e
o
f
th
e
co
o
r
d
in
ate
s
o
f
t
h
e
f
ir
s
t
ele
m
e
n
t
as
th
e
in
itia
l
f
ac
to
r
,
f
o
r
ex
a
m
p
le,
t
h
e
co
o
r
d
in
ate
s
o
f
ele
m
e
n
ts
i
n
a
m
atr
i
x
co
lu
m
n
of
()
z
M
,
th
e
m
atr
i
x
r
o
w
s
of
()
z
M
ar
e
an
al
y
ze
d
in
th
is
co
lu
m
n
.
T
h
e
n
ex
t
m
atr
i
x
ele
m
e
nt
of
()
z
M
in
t
h
is
co
lu
m
n
,
w
h
ich
is
d
i
f
f
er
en
t
f
r
o
m
ze
r
o
,
is
s
elec
ted
b
ased
o
n
th
e
ca
p
ac
it
y
o
f
th
e
s
ec
o
n
d
ele
m
e
n
t o
f
t
h
e
co
n
to
u
r
.
T
h
e
th
ir
d
ele
m
en
t is
s
ea
r
c
h
ed
in
th
e
r
o
w
,
i
n
w
h
ic
h
,
it
is
lo
ca
ted
th
e
s
ec
o
n
d
s
e
lecte
d
ele
m
e
n
t.
I
f
in
t
h
is
r
o
w
,
th
er
e
i
s
n
o
n
o
n
-
ze
r
o
ele
m
en
t,
t
h
e
s
ec
o
n
d
o
b
tain
ed
ele
m
e
n
t
is
d
elete
d
f
r
o
m
th
e
co
n
to
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r
.
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n
t
h
e
m
atr
i
x
co
l
u
m
n
of
()
z
M
,
it
i
s
a
g
ain
a
s
s
i
g
n
ed
b
y
th
e
f
ir
s
t
co
n
t
o
u
r
ele
m
e
n
t.
An
d
th
e
s
ec
o
n
d
ze
r
o
elem
e
n
t
is
s
elec
ted
to
b
e
th
e
s
ec
o
n
d
el
e
m
en
t
o
f
th
e
co
n
to
u
r
.
T
h
e
co
o
r
d
in
ate
s
o
f
t
h
e
r
o
w
o
f
t
h
e
o
b
tain
ed
ele
m
e
n
t
i
n
d
ica
te
th
e
r
o
w
o
f
t
h
e
m
atr
i
x
()
z
M
,
in
wh
ich
,
th
e
n
e
x
t
ze
r
o
ele
m
e
n
t
i
s
s
elec
ted
.
T
h
e
p
r
o
ce
s
s
f
o
r
s
ea
r
ch
i
n
g
a
ll
t
h
e
clo
s
ed
co
n
to
u
r
ele
m
e
n
t
s
co
n
t
in
u
e
s
til
l
th
e
co
o
r
d
in
ates
o
f
t
h
e
r
o
w
o
f
th
e
last
o
b
tain
ed
ele
m
en
t a
n
d
th
e
f
ir
s
t
co
n
to
u
r
ele
m
e
n
t
b
ec
o
m
e
s
th
e
s
a
m
e.
T
h
e
in
ter
leav
ed
s
ig
n
s
ar
e
ascr
ib
ed
to
th
e
ele
m
en
ts
o
f
th
e
b
u
ilt
clo
s
ed
co
n
to
u
r
;
m
o
r
eo
v
er
th
e
p
o
s
itiv
e
s
ig
n
i
s
a
s
cr
ib
ed
to
th
e
f
ir
s
t
co
n
to
u
r
ele
m
en
t.
Am
o
n
g
t
h
e
co
n
to
u
r
ele
m
en
ts
w
it
h
t
h
e
n
e
g
ati
v
e
s
i
g
n
,
t
h
e
ele
m
e
n
t
b
,
a
z
m
is
s
elec
ted
to
be
th
e
co
r
r
esp
o
n
d
in
g
v
a
lu
e
f
o
r
th
e
lo
w
es
t
v
al
u
e.
T
h
e
v
alu
e
o
f
th
e
ele
m
e
n
t
b
,
a
z
m
is
ad
d
e
d
to
th
e
v
alu
e
s
o
f
th
e
ele
m
e
n
ts
o
f
th
e
clo
s
ed
co
n
to
u
r
w
ith
t
h
e
p
o
s
itiv
e
s
ig
n
an
d
is
d
ed
u
cted
f
r
o
m
th
e
v
a
lu
e
o
f
th
e
ele
m
e
n
t
s
o
f
th
e
clo
s
ed
co
n
to
u
r
w
it
h
t
h
e
n
e
g
ati
v
e
s
i
g
n
.
As
a
r
esu
lt
,
w
e
o
b
tain
th
e
n
e
w
b
r
ea
k
in
g
o
f
t
h
e
tas
k
s
ets,
w
h
ic
h
ar
e
u
s
ed
f
o
r
so
l
v
in
g
t
h
e
p
r
o
b
le
m
at
t
h
e
n
et
w
o
r
k
.
Fo
r
th
e
re
d
is
tr
ib
u
tio
n
(
n
e
w
d
i
s
tr
ib
u
tio
n
)
o
f
,
it
is
b
u
ilt
o
n
ce
m
o
r
e,
an
d
th
e
s
y
s
te
m
o
f
t
h
e
p
o
ten
tials
ca
lc
u
lat
e
s
th
e
v
al
u
es
o
f
t
h
e
b
asic
esti
m
atio
n
s
f
o
r
th
e
ze
r
o
ele
m
e
n
ts
()
z
M
.
I
n
th
e
ca
s
e
o
f
th
e
ab
s
en
ce
o
f
t
h
e
n
eg
a
tiv
e
v
alu
e
s
a
m
o
n
g
t
h
e
b
as
ic
est
i
m
a
tio
n
s
f
o
r
th
e
ze
r
o
ele
m
e
n
ts
at
t
h
e
d
is
tr
ib
u
tio
n
.
S
o
it
m
ad
e
a
r
atio
n
al
d
ec
is
io
n
to
w
ar
d
s
th
e
b
r
ea
k
i
n
g
o
f
th
e
ta
s
k
s
ets
f
o
r
s
o
lv
i
n
g
th
e
p
r
o
b
lem
b
ased
o
n
t
h
e
s
u
b
s
ettin
g
s
a
n
d
d
is
tr
ib
u
tio
n
.
5.
RE
SU
L
T
S
T
h
e
ev
alu
a
tio
n
o
f
e
f
f
ec
ti
v
e
n
e
s
s
o
f
t
h
e
p
r
o
p
o
s
ed
m
et
h
o
d
is
p
er
f
o
r
m
ed
b
ased
o
n
t
h
e
m
o
d
el
o
f
t
h
e
h
y
p
er
co
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v
er
g
ed
s
u
p
p
o
r
t
s
y
s
te
m
f
o
r
u
n
i
v
er
s
it
y
E
-
lear
n
in
g
b
y
V.
N.
Kar
az
i
n
K
h
ar
k
i
v
Natio
n
al
U
n
i
v
er
s
it
y
.
T
h
e
s
y
s
te
m
b
o
o
t
is
s
i
m
u
lated
d
u
r
i
ng
a
d
o
u
b
le
-
clas
s
(
9
0
m
i
n
u
te
s
)
.
I
t
h
as
b
ee
n
co
n
s
id
er
ed
th
at
th
e
s
it
u
atio
n
s
h
a
v
e
d
if
f
er
e
n
t
q
u
a
n
ti
t
y
f
o
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t
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p
r
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b
lem
in
all
N
-
s
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s
s
i
m
u
lated
.
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s
p
ec
iall
y
,
u
n
d
er
N=
1
,
s
u
p
p
o
s
e
t
h
e
b
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k
d
o
w
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o
f
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m
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icat
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n
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s
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a
n
d
u
n
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er
N=
1
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u
p
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e
b
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d
o
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o
f
t
h
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s
o
f
t
w
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an
d
h
ar
d
w
ar
e.
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v
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tio
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o
f
t
h
e
q
u
ali
t
y
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e
f
f
icien
t
f
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th
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ta
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k
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ti
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s
.
t
h
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m
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er
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p
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s
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s
h
o
w
n
in
t
h
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Fi
g
u
r
e
1
w
h
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e
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h
a
v
e
t
h
e
n
e
t
w
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k
lo
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f
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th
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ca
s
e
o
f
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n
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s
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er
v
ice.
F
ig
u
r
e
2
s
h
o
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lt
s
f
o
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e
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et
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er
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.
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n
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o
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ig
u
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cu
r
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e
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1
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s
h
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s
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e
p
r
o
p
o
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ed
is
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.
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h
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r
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lts
o
f
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i
m
u
latio
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s
in
Fig
u
r
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2
clea
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s
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e
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ab
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h
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h
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etail
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ab
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1
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p
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in
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r
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2
"
2
"
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
3
,
J
u
n
e
2
0
1
8
:
1
6
2
9
–
1635
1634
Fig
u
r
e
1
.
T
h
e
q
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alit
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f
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u
r
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;
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