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e
n
t
task
.
A
d
ev
e
lo
p
ed
I
T
in
f
r
astr
u
ctu
r
e
allo
w
s
u
n
i
v
er
s
itie
s
to
w
o
r
k
i
n
a
s
i
n
g
le
i
n
f
o
r
m
atio
n
s
p
ac
e,
w
h
ich
i
s
a
co
m
p
eti
tiv
e
ad
v
a
n
ta
g
e.
T
h
e
in
tr
o
d
u
ctio
n
o
f
a
clo
u
d
-
b
ased
lear
n
in
g
en
v
ir
o
n
m
en
t
(
C
B
L
E
)
p
r
o
m
o
te
s
q
u
alit
y
lear
n
in
g
a
n
d
p
r
o
f
ess
io
n
a
l
d
ev
elo
p
m
e
n
t
o
f
s
t
u
d
en
t
s
[
2
]
,
[
3
]
.
A
cc
o
r
d
in
g
to
[
4
]
,
as
o
f
2
0
2
0
,
ab
o
u
t
7
0
%
o
f
No
r
th
Am
e
r
ica
n
u
n
i
v
er
s
itie
s
h
a
v
e
tr
an
s
f
er
r
ed
th
eir
ad
m
i
n
is
tr
atio
n
s
y
s
te
m
s
to
clo
u
d
s
tr
u
ctu
r
e
s
,
an
d
m
o
r
e
th
a
n
5
0
%
h
av
e
i
m
p
le
m
e
n
ted
clo
u
d
s
y
s
t
e
m
s
to
i
m
p
r
o
v
e
s
cie
n
ti
f
ic
co
l
lab
o
r
atio
n
.
T
h
e
ef
f
ec
ti
v
en
e
s
s
o
f
u
s
in
g
C
B
L
E
i
s
d
eter
m
in
ed
b
y
v
ar
io
u
s
in
d
icat
o
r
s
,
s
u
c
h
a
s
f
in
a
n
ci
al,
q
u
an
tita
tiv
e
a
n
d
q
u
al
itati
v
e.
An
i
m
p
o
r
tan
t
a
s
p
ec
t
r
e
m
a
in
s
th
e
s
t
u
d
y
o
f
r
is
k
f
ac
to
r
s
f
o
r
ac
ad
em
ic
clo
u
d
d
ep
lo
y
m
e
n
t.
Fo
r
ec
asti
n
g
f
u
t
u
r
e
s
tates
o
f
C
B
L
E
is
d
if
f
ic
u
lt
d
u
e
to
th
e
d
if
f
ic
u
lt
y
o
f
id
en
tify
i
n
g
lo
n
g
h
is
to
r
ical
s
er
ies.
T
h
e
m
ai
n
f
ac
to
r
s
d
estab
iliz
in
g
th
e
u
n
i
v
er
s
it
y
clo
u
d
i
n
clu
d
e
th
e
co
n
s
ta
n
t
p
r
o
g
r
ess
o
f
h
ar
d
w
ar
e
an
d
s
o
f
t
w
ar
e,
i
n
s
tab
ilit
y
o
f
ex
c
h
an
g
e
r
ates
a
n
d
th
e
ec
o
n
o
m
ic
a
n
d
p
o
liti
ca
l
s
itu
a
tio
n
.
T
h
is
m
a
k
es
it
d
if
f
icu
lt
to
ass
e
s
s
th
e
co
s
t
-
e
f
f
ec
ti
v
en
e
s
s
o
f
u
s
i
n
g
clo
u
d
tech
n
o
lo
g
ie
s
at
a
u
n
i
v
er
s
i
t
y
.
E
x
i
s
ti
n
g
ap
p
r
o
ac
h
es
to
ass
ess
i
n
g
t
h
e
in
v
e
s
t
m
e
n
t
attr
ac
ti
v
e
n
ess
o
f
d
ep
lo
y
i
n
g
a
C
B
L
E
f
o
r
u
n
i
v
er
s
it
ies
o
f
te
n
d
o
n
o
t
ta
k
e
i
n
to
ac
co
u
n
t
:
t
h
e
d
y
n
a
m
ics
o
f
th
e
f
i
n
an
cia
l
co
n
d
itio
n
s
o
f
t
h
e
p
la
y
er
s
;
i
n
ter
ac
tio
n
an
d
m
u
t
u
al
in
f
l
u
en
ce
o
f
p
r
o
j
ec
ts
;
u
n
cle
ar
in
f
o
r
m
atio
n
an
d
in
s
tab
il
it
y
o
f
ex
ter
n
al
f
ac
to
r
s
[
5
]
-
[
7
]
.
I
n
th
i
s
p
u
b
licatio
n
,
w
e
o
f
f
er
o
u
r
v
ie
w
o
n
t
h
e
p
r
o
b
lem
o
f
ass
ess
i
n
g
t
h
e
i
n
v
e
s
t
m
en
t a
t
tr
ac
tiv
en
es
s
o
f
a
n
C
B
L
E
d
ep
lo
y
m
e
n
t
s
c
h
e
m
e
u
s
in
g
g
a
m
e
th
eo
r
y
m
eth
o
d
s
.
T
h
is
allo
w
s
m
at
h
e
m
atica
l
a
n
al
y
s
is
an
d
s
elec
tio
n
o
f
m
o
r
e
s
u
itab
le
s
o
lu
tio
n
s
.
T
w
o
s
ch
e
m
es
ar
e
b
ein
g
co
n
s
id
er
ed
:
p
r
iv
ate
clo
u
d
(
p
r
iv
ate
u
n
i
v
er
s
it
y
clo
u
d
)
,
w
h
ich
i
s
cu
s
to
m
ized
f
o
r
s
p
ec
if
ic
b
u
s
i
n
e
s
s
tas
k
s
o
f
th
e
u
n
iv
er
s
it
y
a
n
d
i
n
f
r
a
s
tr
u
ct
u
r
e
as a
s
er
v
ice
(
I
aa
S
)
[
8
]
-
[
1
0
]
.
A
g
a
m
e
m
u
lti
f
ac
to
r
m
o
d
el
f
o
r
ass
es
s
i
n
g
in
v
es
t
m
e
n
t o
p
tio
n
s
i
n
a
u
n
iv
er
s
it
y
clo
u
d
u
n
d
er
co
n
d
itio
n
s
o
f
f
u
zz
y
i
n
f
o
r
m
atio
n
ta
k
es
in
to
ac
co
u
n
t
th
e
d
y
n
a
m
ic
s
a
n
d
i
n
ter
ac
tio
n
o
f
p
la
y
er
s
’
f
i
n
a
n
cial
s
tates
.
I
t
is
al
s
o
p
o
s
s
ib
l
e
to
m
o
d
el
an
d
a
n
al
y
ze
t
h
e
i
m
p
ac
t
o
f
i
n
f
o
r
m
atio
n
u
n
ce
r
tai
n
t
y
,
w
h
ic
h
p
r
o
v
id
es
m
o
r
e
i
n
f
o
r
m
ed
d
e
cisi
o
n
s
o
n
t
h
e
ch
o
ice
o
f
clo
u
d
s
er
v
ices,
w
h
ich
i
m
p
r
o
v
e
s
th
e
q
u
alit
y
o
f
t
h
e
ed
u
ca
tio
n
al
p
r
o
ce
s
s
an
d
o
p
ti
m
izes
f
i
n
an
cial
in
v
e
s
t
m
e
n
ts
.
T
h
e
p
r
o
p
o
s
ed
m
o
d
el
allo
w
s
alr
ea
d
y
at
th
e
an
al
y
s
is
s
ta
g
e
to
m
a
k
e
in
f
o
r
m
ed
d
ec
is
io
n
s
an
d
o
p
tim
iz
e
th
e
u
s
e
o
f
u
n
i
v
er
s
it
y
I
T
r
es
o
u
r
ce
s
.
2.
RE
VI
E
W
A
ND
ANA
L
YS
I
S
O
F
T
H
E
L
I
T
E
RA
T
UR
E
M
a
n
y
r
es
e
a
r
ch
e
r
s
b
e
li
ev
e
th
at
a
n
e
f
f
e
c
t
iv
e
w
ay
t
o
im
p
r
o
v
e
u
n
iv
e
r
s
i
t
ie
s
’
i
n
f
o
r
m
at
i
o
n
an
d
e
d
u
c
a
ti
o
n
a
l
e
n
v
i
r
o
n
m
en
t
i
s
t
o
c
o
m
b
in
e
c
o
m
p
u
t
e
r
-
b
as
e
d
l
e
a
r
n
in
g
m
eth
o
d
s
u
s
i
n
g
c
l
o
u
d
c
o
m
p
u
t
in
g
[
5
]
-
[
7
]
.
T
h
e
a
d
v
an
t
ag
e
s
o
f
u
s
in
g
cl
o
u
d
t
e
ch
n
o
l
o
g
i
es
t
o
p
r
o
v
i
d
e
e
l
e
ct
r
o
n
i
c
(
m
o
b
il
e
)
t
r
a
in
in
g
a
r
e
d
e
s
c
r
i
b
e
d
in
[
8
]
-
[
1
0
]
.
A
s
n
o
t
e
d
in
[
1
1
]
-
[
1
3
]
,
m
o
s
t
o
f
th
e
u
s
u
al
f
o
r
m
s
o
f
ed
u
ca
tio
n
h
a
v
e
b
ec
o
m
e
v
ir
tu
al
l
y
u
n
s
u
itab
le
f
o
r
t
h
e
s
u
s
ta
in
ab
le
d
ev
elo
p
m
en
t
o
f
t
h
e
ed
u
ca
tio
n
s
ec
to
r
.
T
h
is
is
d
u
e
to
th
e
f
ac
t
th
at
tr
ad
itio
n
al
I
T
u
s
ed
in
ed
u
ca
tio
n
d
o
es
n
o
t
k
ee
p
u
p
w
it
h
t
h
e
d
y
n
a
m
icall
y
c
h
an
g
i
n
g
d
e
m
a
n
d
f
o
r
s
p
ec
ialis
t
s
i
n
d
if
f
er
en
t
f
ie
l
d
s
.
R
esear
ch
b
y
Xiao
an
d
W
an
g
[
1
1
]
n
o
te
th
at
t
h
e
tr
ad
itio
n
al
m
o
d
e
o
f
e
-
lear
n
in
g
is
b
ased
o
n
t
h
e
u
s
e
o
f
t
h
e
I
n
ter
n
et.
Mo
s
t
o
f
th
e
i
n
f
o
r
m
atio
n
an
d
ed
u
ca
tio
n
al
en
v
ir
o
n
m
e
n
t
co
m
p
o
n
en
t
s
ar
e
lo
ca
ted
in
s
id
e
ed
u
ca
tio
n
al
i
n
s
ti
tu
t
io
n
s
.
T
h
is
lead
s
to
m
a
n
y
p
r
o
b
le
m
s
.
S
u
c
h
p
r
o
b
lem
s
i
n
cl
u
d
e
th
e
n
ee
d
f
o
r
lar
g
e
in
v
e
s
t
m
e
n
t
s
i
n
h
ar
d
w
ar
e
an
d
s
o
f
t
w
ar
e
co
m
p
o
n
e
n
ts
o
f
t
h
e
i
n
f
o
r
m
atio
n
a
n
d
ed
u
ca
tio
n
al
e
n
v
ir
o
n
m
e
n
t.
R
esear
ch
b
y
Ne
g
r
u
an
d
C
r
is
te
a
[
1
2
]
co
n
s
id
er
v
ar
io
u
s
m
o
d
el
s
f
o
r
th
e
co
n
s
tr
u
ctio
n
o
f
clo
u
d
s
tr
u
ct
u
r
es.
C
lo
u
d
s
er
v
ice
p
r
o
v
id
er
s
o
f
f
er
a
w
id
e
p
o
r
tf
o
lio
o
f
s
er
v
ices,
a
n
d
cu
s
to
m
er
s
g
et
ac
ce
s
s
to
th
e
m
u
n
d
er
a
s
p
ec
if
ic
f
i
n
an
cia
l
ag
r
ee
m
e
n
t.
I
t
i
s
al
w
a
y
s
p
o
s
s
ib
le
to
co
m
e
to
a
co
m
p
r
o
m
is
e
b
et
w
ee
n
w
h
at
a
clo
u
d
p
r
o
v
id
er
ca
n
o
f
f
er
i
n
ter
m
s
o
f
r
eso
u
r
ce
s
(
s
o
f
t
w
ar
e
o
r
h
ar
d
w
ar
e)
,
th
e
co
s
t o
f
s
er
v
ic
es,
an
d
w
h
at
c
u
s
to
m
er
s
a
r
e
w
il
lin
g
to
p
ay
.
T
o
d
ay
,
clo
u
d
s
p
en
d
i
n
g
m
o
d
el
s
ar
e
f
o
r
m
ed
b
ased
o
n
s
er
v
ice
m
o
d
els:
I
aa
S,
p
latf
o
r
m
as
a
s
er
v
i
ce
(
P
aa
S),
an
d
s
o
f
t
w
ar
e
a
s
a
s
er
v
ice
(
Saa
S).
I
f
w
e
talk
ab
o
u
t
th
e
f
ield
o
f
ed
u
ca
tio
n
,
w
h
er
e
f
i
n
an
c
ial
r
es
o
u
r
ce
s
(
h
er
ein
a
f
ter
r
ef
er
r
ed
to
as FR
)
ar
e
u
s
u
all
y
l
i
m
ited
,
th
e
n
f
o
r
th
e
u
n
iv
er
s
it
y
m
an
a
g
e
m
e
n
t a
t th
e
s
tag
e
o
f
c
h
o
o
s
in
g
a
p
ar
ticu
lar
s
er
v
ice
m
o
d
el
f
o
r
a
clo
u
d
s
tr
u
c
tu
r
e,
th
er
e
is
a
n
ee
d
to
p
r
ed
ict
th
e
co
s
t
o
f
an
ac
ad
e
m
ic
clo
u
d
f
o
r
a
ce
r
tain
p
er
io
d
.
T
h
is
,
in
tu
r
n
r
eq
u
ir
es t
h
e
co
n
s
t
r
u
ctio
n
o
f
co
s
t
m
o
d
els,
w
h
ich
m
u
s
t b
e
ac
cu
r
ate
an
d
er
r
o
r
-
f
r
e
e.
In
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s
.
Dep
en
d
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g
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en
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o
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y
o
u
ca
n
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ti
m
ate
th
e
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s
t
o
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cr
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g
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«
clo
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»
o
n
y
o
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r
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w
n
in
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r
astr
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r
e
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th
e
t
y
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en
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ct
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m
p
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ies b
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S o
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m
s
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y
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P
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S (
T
ab
le
1
)
.
No
te
th
at,
as
s
h
o
w
n
i
n
[
1
7
]
-
[
2
0
]
,
u
n
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v
er
s
itie
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f
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ll
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a
w
ar
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lab
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it
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d
av
ailab
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clo
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tech
n
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ter
m
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atin
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clo
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B
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itu
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p
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m
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ed
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ca
t
io
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itie
s
.
T
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is
o
f
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h
ap
p
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as a
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lt o
f
th
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d
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elev
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t I
T
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tm
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f
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tio
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m
s
tr
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Op
ti
m
izin
g
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t
s
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f
a
clo
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s
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l
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tio
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,
esp
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i
s
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e
n
d
l
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lu
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p
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m
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m
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h
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f
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te
m
s
u
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ed
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tr
ai
n
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g
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n
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o
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g
an
iza
ti
o
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al
w
o
r
k
.
As
s
h
o
w
n
i
n
Vo
lo
zh
en
i
n
[
2
1
]
,
m
et
h
o
d
s
o
f
s
tatis
tical
f
o
r
ec
as
tin
g
o
f
ca
s
h
f
lo
w
s
f
r
o
m
th
e
in
tr
o
d
u
ctio
n
o
f
clo
u
d
tech
n
o
lo
g
ies
ca
n
b
e
ap
p
lied
if
th
e
s
elec
ted
I
T
p
r
o
j
ec
t
alr
ea
d
y
ex
is
t
s
an
d
f
u
n
ct
io
n
s
.
A
cc
o
r
d
in
g
l
y
,
ad
d
itio
n
al
in
v
es
t
m
e
n
t
s
ar
e
r
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ir
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b
ec
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s
e
in
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g
m
o
n
e
y
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e
s
s
ar
y
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i
n
cr
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t
h
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p
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it
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r
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th
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I
f
a
n
I
T
p
r
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d
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s
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e
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ta
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l
d
ata
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ts
,
it
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b
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t
o
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f
o
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ex
am
p
le,
a
g
a
m
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p
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p
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t
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to
ass
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l
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tio
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s
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en
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T
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w
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m
a
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m
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s
eq
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s
.
T
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e
g
a
m
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ap
p
r
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o
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r
o
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in
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n
,
is
m
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e
co
m
p
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x
s
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n
ce
it
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w
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tak
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m
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.
S
u
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e,
f
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x
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o
ciate
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Ou
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T
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ca
lcu
latio
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esu
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
1
6
9
3
-
6930
T
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K
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elec
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m
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o
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p
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C
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n
tr
o
l
,
Vo
l.
22
,
No
.
6
,
Dec
em
b
er
20
24
:
1
3
6
9
-
1381
1372
u
s
e
f
u
l
f
o
r
cr
ea
tin
g
ed
u
ca
tio
n
al
in
s
t
itu
tio
n
s
an
d
v
ar
io
u
s
co
m
p
a
n
ies
tr
an
s
f
er
r
in
g
t
h
eir
b
u
s
i
n
es
s
p
r
o
ce
s
s
es
to
clo
u
d
st
r
u
ct
u
r
es i
n
clo
u
d
s
er
v
ice
s
.
T
h
e
ai
m
o
f
t
h
e
w
o
r
k
is
to
d
ev
elo
p
m
ath
e
m
at
ical
m
o
d
els
t
h
a
t
allo
w
u
s
to
ass
e
s
s
th
e
attr
ac
t
iv
en
e
s
s
o
f
in
v
e
s
ti
n
g
i
n
a
n
ac
ad
e
m
ic
(
u
n
i
v
er
s
it
y
)
clo
u
d
a
s
p
ar
t
o
f
a
m
u
l
tis
tep
q
u
ali
t
y
g
a
m
e
w
i
th
f
u
zz
y
in
f
o
r
m
atio
n
.
I
n
th
e
co
u
r
s
e
o
f
t
h
e
s
tu
d
y
,
th
e
f
o
ll
o
w
i
n
g
tas
k
s
w
er
e
s
o
lv
ed
:
i)
d
ev
elo
p
m
en
t
o
f
a
m
o
d
el
b
as
ed
o
n
g
a
m
e
t
h
eo
r
y
(
m
u
l
tis
tep
q
u
alit
y
g
a
m
e)
to
ass
ess
t
h
e
attr
ac
tiv
e
n
es
s
o
f
in
v
e
s
tin
g
in
a
u
n
iv
er
s
it
y
clo
u
d
as
p
ar
t
o
f
a
m
u
lti
s
tep
q
u
alit
y
g
a
m
e
w
ith
f
u
zz
y
i
n
f
o
r
m
atio
n
a
n
d
ii)
c
o
n
d
u
ctin
g
co
m
p
u
tatio
n
al
e
x
p
er
i
m
e
n
ts
u
s
i
n
g
t
h
e
P
y
t
h
o
n
la
n
g
u
a
g
e
(
P
y
ch
ar
m
P
r
o
f
ess
io
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al
p
r
o
g
r
am
m
in
g
e
n
v
ir
o
n
m
e
n
t)
.
3.
M
E
T
H
O
DS
AND
M
O
DE
L
S
3
.
1
.
St
a
t
e
m
ent
o
f
t
he
pro
blem
a
n
d r
esea
rc
h
m
et
ho
d
s
As
is
k
n
o
w
n
,
to
en
s
u
r
e
th
e
ef
f
ec
ti
v
e
d
ev
elo
p
m
en
t
o
f
a
C
B
L
E
f
o
r
u
n
i
v
er
s
it
ies,
f
i
n
a
n
cial
s
u
p
p
o
r
t
is
n
ec
es
s
ar
y
.
A
t
t
h
e
s
a
m
e
ti
m
e,
it
is
n
ec
e
s
s
ar
y
to
in
v
est
FR
in
s
u
ch
clo
u
d
s
er
v
ice
s
t
h
at
p
r
o
v
id
e
u
n
i
v
er
s
i
ties
w
i
th
a
h
ig
h
-
q
u
al
it
y
lev
el
o
f
s
er
v
ice.
T
h
e
h
ig
h
-
q
u
alit
y
le
v
el
o
f
s
u
ch
s
er
v
ices
u
lt
i
m
a
tel
y
co
n
tr
ib
u
te
s
to
th
e
h
i
g
h
-
q
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a
lit
y
t
r
ain
i
n
g
o
f
f
u
tu
r
e
s
p
ec
ialis
t
s
.
T
h
is
ca
n
b
e
d
o
n
e
u
s
in
g
v
ar
io
u
s
ap
p
r
o
ac
h
es
b
ased
o
n
a
n
a
n
al
y
s
i
s
o
f
th
e
s
elec
t
io
n
o
f
ap
p
r
o
p
r
iate
clo
u
d
s
er
v
ices.
I
n
t
h
is
ar
tic
le,
to
s
o
l
v
e
t
h
e
p
r
o
b
le
m
o
f
ch
o
o
s
i
n
g
clo
u
d
s
er
v
ic
es,
w
e
u
s
e
t
h
e
to
o
ls
o
f
g
a
m
e
t
h
eo
r
y
,
in
p
ar
ticu
lar
,
m
u
lti
-
s
ta
g
e
q
u
alit
y
g
a
m
es w
it
h
f
u
zz
y
in
f
o
r
m
a
tio
n
.
T
h
e
v
ag
u
en
es
s
o
f
in
f
o
r
m
atio
n
is
a
f
ac
to
r
th
at,
as
a
r
u
le,
is
p
r
esen
t
i
n
r
ea
lit
y
.
T
h
e
u
s
e
o
f
g
a
m
e
th
eo
r
y
e
x
p
an
d
s
t
h
e
p
o
s
s
ib
i
liti
es
f
o
r
s
o
lv
in
g
t
h
e
p
r
o
b
lem
o
f
c
h
o
o
s
in
g
s
er
v
ice
s
,
alo
n
g
w
i
th
,
f
o
r
ex
a
m
p
le,
o
p
tim
izatio
n
m
e
th
o
d
s
.
D
u
r
in
g
t
h
e
s
tu
d
y
,
th
e
f
o
llo
w
i
n
g
m
et
h
o
d
s
w
er
e
u
s
ed
:
a
n
al
y
tical
to
an
al
y
ze
s
cien
ti
f
ic
an
d
tec
h
n
i
ca
l
liter
atu
r
e
o
n
t
h
e
p
r
o
b
le
m
o
f
in
tr
o
d
u
ci
n
g
clo
u
d
tech
n
o
lo
g
ies
in
th
e
f
ield
o
f
ed
u
ca
tio
n
,
to
an
al
y
ze
t
h
e
f
ea
t
u
r
e
s
o
f
th
e
f
u
n
ctio
n
i
n
g
o
f
th
e
s
o
f
t
w
ar
e
a
n
d
h
ar
d
w
ar
e
in
f
r
astru
ct
u
r
e
o
f
a
h
ig
h
er
ed
u
c
atio
n
al
in
s
tit
u
tio
n
;
g
a
m
e
th
eo
r
y
m
et
h
o
d
s
f
o
r
s
o
lv
i
n
g
t
h
e
p
r
o
b
le
m
o
f
ch
o
o
s
i
n
g
t
h
e
o
p
tim
a
l,
f
r
o
m
th
e
p
o
in
t
o
f
v
i
e
w
o
f
m
u
l
ti
f
ac
to
r
ial,
m
o
d
el
f
o
r
d
e
p
lo
y
i
n
g
a
n
ac
ad
e
m
ic
(
u
n
iv
er
s
it
y
clo
u
d
)
.
A
m
et
h
o
d
o
lo
g
y
w
as
u
s
ed
to
s
o
lv
e
th
e
p
r
o
b
le
m
b
ased
o
n
t
h
e
d
ev
elo
p
ed
m
o
d
el
o
f
a
b
ili
n
ea
r
m
u
lti
-
s
tep
g
a
m
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o
f
t
h
e
q
u
alit
y
o
f
m
u
lt
id
i
m
e
n
s
io
n
al
o
b
j
ec
ts
w
ith
f
u
zz
y
i
n
f
o
r
m
atio
n
.
T
h
e
ar
ticle
w
ill
co
n
s
id
er
t
w
o
p
r
o
j
ec
ts
:
i)
P
r
o
j
ec
t
1
.
«
p
r
iv
ate
c
lo
u
d
»
(
p
r
iv
ate
u
n
i
v
er
s
it
y
clo
u
d
)
,
w
h
ic
h
allo
w
s
t
h
e
u
n
i
v
er
s
i
t
y
to
cu
s
to
m
ize
it
f
o
r
its
s
p
ec
if
ic
b
u
s
in
e
s
s
ta
s
k
s
;
a
n
d
ii)
P
r
o
j
ec
t
2
.
«
I
aa
S
»
wh
er
e
in
f
r
as
tr
u
ct
u
r
e
is
co
n
s
id
er
ed
as
a
s
er
v
ice.
Si
n
c
e,
w
h
en
u
s
in
g
t
h
e
P
aa
S
m
o
d
el,
all
r
eso
u
r
ce
s
(
s
o
f
t
w
ar
e
an
d
allo
ca
tio
n
o
f
s
tr
u
ct
u
r
al
ele
m
e
n
ts
o
f
t
h
e
s
y
s
te
m
.
)
ar
e
d
ictated
b
y
t
h
e
v
en
d
o
r
,
th
i
s
m
o
d
el
is
n
o
t
co
n
s
id
er
ed
as
a
n
i
n
v
e
s
t
m
e
n
t
o
p
tio
n
i
n
th
e
С
B
L
E
w
it
h
in
t
h
e
f
r
a
m
e
w
o
r
k
o
f
o
u
r
s
tu
d
y
.
I
t
is
ass
u
m
ed
th
at
t
w
o
p
la
y
er
s
w
it
h
FR
in
v
es
t
in
th
ese
t
w
o
p
r
o
j
ec
ts
.
A
t t
h
e
s
a
m
e
ti
m
e,
w
e
n
o
te
th
at
th
e
f
in
a
n
ci
n
g
o
f
th
ese
p
r
o
j
ec
t
s
is
in
ter
r
elate
d
.
Fin
a
n
cin
g
in
o
n
e
p
r
o
j
ec
t c
au
s
es a
d
esire
to
«
i
m
p
r
o
v
e
»
th
e
q
u
a
lit
y
o
f
y
o
u
r
p
r
o
j
ec
t w
it
h
ad
d
itio
n
al
f
i
n
an
ci
n
g
an
d
v
ice
v
er
s
a.
L
et
’
s
d
escr
ib
e
th
e
i
n
ter
ac
tio
n
o
f
th
e
p
la
y
er
s
.
T
h
e
in
ter
ac
ti
o
n
b
et
w
ee
n
th
e
p
la
y
er
s
w
ill
tak
e
p
lace
d
is
cr
etel
y
in
t
i
m
e.
I
t
h
ap
p
en
s
th
is
w
a
y
.
T
h
e
f
ir
s
t
p
la
y
er
at
th
e
m
o
m
en
t
o
f
ti
m
e
=
0
h
as
a
s
et
o
f
FR
,
w
h
ich
is
in
te
n
d
ed
f
o
r
th
e
d
ev
elo
p
m
e
n
t
o
f
P
r
o
j
ec
t
1
.
T
h
e
s
et
is
a
v
e
cto
r
(
0
)
=
(
1
(
0
)
,
.
.
.
,
(
0
)
)
o
f
K
d
i
m
e
n
s
io
n
s
,
w
h
er
e
K
is
t
h
e
n
u
m
b
er
t
h
at
co
r
r
esp
o
n
d
s
to
th
e
n
u
m
b
er
o
f
i
n
s
tr
u
m
en
ts
f
o
r
t
h
e
d
ev
elo
p
m
en
t
o
f
P
r
o
j
ec
t
1
.
E
ac
h
co
m
p
o
n
e
n
t
o
f
th
is
v
ec
to
r
in
d
ic
ates
th
e
a
m
o
u
n
t
o
f
th
e
F
R
in
te
n
d
ed
to
f
in
an
ce
th
e
co
r
r
esp
o
n
d
in
g
in
s
tr
u
m
e
n
t
f
o
r
th
e
d
ev
elo
p
m
e
n
t o
f
P
r
o
j
ec
t 1
,
s
ee
T
ab
le
1
.
T
h
e
s
ec
o
n
d
p
lay
er
at
th
e
m
o
m
en
t
o
f
t
i
m
e
=
0
h
as
a
s
et
o
f
FR
,
w
h
ich
is
in
te
n
d
ed
f
o
r
th
e
d
e
v
elo
p
m
en
t
o
f
P
r
o
j
ec
t 2
.
T
h
e
s
et
is
a
v
ec
to
r
(
0
)
=
(
1
(
0
)
,
.
.
.
,
(
0
)
)
o
f
M
d
i
m
e
n
s
io
n
s
,
w
h
er
e
t
h
e
n
u
m
b
er
co
r
r
esp
o
n
d
s
to
th
e
n
u
m
b
er
o
f
in
s
tr
u
m
en
t
s
f
o
r
th
e
d
ev
elo
p
m
en
t
o
f
P
r
o
j
ec
t
1
.
E
ac
h
co
m
p
o
n
en
t
o
f
t
h
is
v
ec
to
r
in
d
icate
s
th
e
a
m
o
u
n
t o
f
F
R
in
ten
d
ed
to
f
in
a
n
ce
th
e
co
r
r
esp
o
n
d
in
g
in
s
tr
u
m
en
t f
o
r
th
e
d
ev
elo
p
m
en
t o
f
P
r
o
j
ec
t 1
,
s
ee
T
ab
le
1
.
A
t
t
h
e
s
a
m
e
ti
m
e,
it
is
ass
u
m
e
d
th
at
in
th
e
in
ter
ac
tio
n
o
f
p
la
y
er
s
,
f
r
o
m
an
in
f
o
r
m
atio
n
al
p
o
in
t
o
f
v
ie
w
,
th
er
e
is
a
s
itu
atio
n
in
w
h
ic
h
th
e
f
ir
s
t
p
la
y
er
d
o
es
n
o
t
k
n
o
w
at
th
e
ti
m
e
=
0
ex
ac
tl
y
th
e
co
n
d
itio
n
(
0
)
(
(
0
)
∈
+
)
o
f
t
h
e
s
ec
o
n
d
p
la
y
er
.
He
o
n
l
y
h
as
ac
ce
s
s
to
i
n
f
o
r
m
atio
n
t
h
at
th
e
s
tate
of
th
e
s
ec
o
n
d
p
la
y
er
b
elo
n
g
s
to
a
f
u
zz
y
s
et
{
,
(
.
)
}
,
w
h
er
e
is
a
s
u
b
s
et
+
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an
d
(
.
)
−
s
tate
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
lo
ts
,
(
)
∈
[
0
,
1
]
f
o
r
∈
.
Den
o
te:
−
is
th
e
o
r
d
e
r
m
atr
i
x
w
ith
p
o
s
it
iv
e
ele
m
e
n
ts
.
T
h
e
m
a
tr
ix
is
th
e
tr
an
s
f
o
r
m
a
tio
n
m
atr
i
x
o
f
th
e
s
et
o
f
FR
(
v
ec
to
r
)
o
f
t
h
e
f
ir
s
t p
la
y
er
a
n
d
is
a
n
«
a
n
alo
g
u
e
»
o
f
th
e
r
ate
o
f
c
h
an
g
e
(
g
r
o
w
th
o
r
d
ec
r
ea
s
e)
o
f
h
is
s
et
o
f
F
R
(
f
o
r
ex
a
m
p
le,
f
o
r
t
h
o
s
e
s
o
lu
tio
n
s
a
n
d
p
r
o
d
u
cts f
o
r
th
e
ac
ad
em
ic
clo
u
d
t
h
at
w
er
e
s
h
o
w
n
i
n
T
ab
le
1
)
;
−
is
th
e
o
r
d
er
M
m
atr
i
x
w
it
h
p
o
s
itiv
e
ele
m
e
n
ts
.
T
h
e
m
atr
i
x
i
s
th
e
tr
an
s
f
o
r
m
atio
n
m
atr
i
x
o
f
th
e
s
et
o
f
F
R
(
v
ec
to
r
)
o
f
th
e
s
ec
o
n
d
p
lay
er
an
d
is
an
«
a
n
alo
g
u
e
»
o
f
th
e
r
ate
o
f
ch
an
g
e
(
g
r
o
w
th
o
r
d
ec
r
e
ase)
o
f
h
is
s
et
o
f
FR
;
−
1
is
th
e
d
i
m
en
s
io
n
×
m
atr
ix
w
i
th
p
o
s
itiv
e
ele
m
en
t
s
1
,
w
h
ic
h
ar
e
th
e
r
atio
s
o
f
t
h
e
v
al
u
es
o
f
t
h
e
FR
o
f
th
e
f
o
llo
w
i
n
g
f
o
r
m
:
in
th
e
n
u
m
er
ato
r
is
th
e
v
al
u
e
o
f
t
h
e
FR
,
g
o
in
g
to
t
h
e
d
e
v
elo
p
m
e
n
t
o
f
t
h
e
u
n
i
t
o
f
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KOM
NI
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A
T
elec
o
m
m
u
n
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o
m
p
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Th
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ve
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1373
ef
f
icien
c
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cr
ea
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-
d
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p
m
en
t
P
r
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t
2
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th
e
s
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o
n
d
p
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er
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I
n
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o
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i
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o
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th
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p
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f
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icie
n
c
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i
n
cr
ea
s
e
-
d
ev
elo
p
m
en
t P
r
o
j
ec
t 1
o
f
th
e
f
ir
s
t p
la
y
er
;
−
2
is
t
h
e
d
i
m
e
n
s
io
n
×
m
atr
i
x
w
it
h
p
o
s
itiv
e
ele
m
e
n
ts
2
,
w
h
ic
h
ar
e
th
e
r
atio
s
o
f
t
h
e
v
a
lu
e
s
o
f
t
h
e
FR
o
f
th
e
f
o
llo
w
i
n
g
f
o
r
m
:
in
th
e
n
u
m
er
ato
r
is
th
e
v
al
u
e
o
f
t
h
e
FR
,
g
o
in
g
to
t
h
e
d
e
v
elo
p
m
e
n
t
o
f
t
h
e
u
n
i
t
o
f
ef
f
icien
c
y
i
n
cr
ea
s
e
-
d
ev
elo
p
m
en
t P
r
o
j
ec
t
1
o
f
th
e
f
ir
s
t p
la
y
er
,
an
d
in
t
h
e
d
en
o
m
in
ato
r
i
s
t
h
e
v
a
lu
e
o
f
F
R
,
g
o
in
g
to
th
e
d
ev
elo
p
m
en
t o
f
a
u
n
i
t o
f
i
n
cr
ea
s
i
n
g
e
f
f
icie
n
c
y
-
d
ev
elo
p
m
en
t P
r
o
j
ec
t 2
s
ec
o
n
d
p
lay
e
r;
−
T
h
r
o
u
g
h
(
=
1
,
.
.
.
,
)
s
u
c
h
v
al
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es
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∑
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=
1
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w
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ar
e
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e
n
ts
o
f
t
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ia
g
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al
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atr
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x
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er
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iag
o
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al
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en
t
s
.
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a
tr
ix
ch
ar
ac
ter
izes th
e
“
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tr
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ct
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r
e
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th
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o
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t
h
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o
n
d
p
lay
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le
m
e
n
t
m
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n
s
a
s
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ar
e
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e
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a
lu
e
s
o
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th
e
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s
et
o
f
th
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ir
s
t
p
la
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er
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w
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h
s
h
o
w
s
t
h
e
tr
an
s
f
o
r
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atio
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o
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th
i
s
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et
i
n
to
-
t
h
e
v
al
u
e
o
f
th
e
F
R
s
et
o
f
t
h
e
s
ec
o
n
d
p
la
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er
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T
h
at
is
,
if
(
1
,
.
.
.
,
)
th
e
s
et
o
f
FR
o
f
t
h
e
f
ir
s
t
p
la
y
er
,
t
h
en
in
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th
e
v
al
u
e
o
f
t
h
e
F
R
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e
t
o
f
t
h
e
s
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o
n
d
p
la
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er
w
ill
b
e
co
n
v
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ted
to
th
e
F
R
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o
f
th
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f
ir
s
t p
la
y
er
,
eq
u
al
to
⋅
(
1
,
.
.
.
,
)
.
−
T
h
r
o
u
g
h
(
=
1
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.
.
.
,
)
s
u
ch
v
al
u
e
s
≥
0
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∑
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1
=
1
,
w
h
ich
f
o
r
m
a
d
iag
o
n
al
m
atr
ix
o
r
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e
r
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w
it
h
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o
n
al
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m
e
n
t
s
.
T
h
e
m
atr
i
x
ch
ar
ac
ter
izes
th
e
«
s
tr
u
ctu
r
e
»
o
f
t
h
e
FR
s
et
o
f
th
e
f
ir
s
t
p
lay
er
.
E
lem
e
n
t
m
ea
n
s
a
s
h
ar
e
-
th
e
v
alu
e
s
o
f
t
h
e
FR
s
et
o
f
t
h
e
s
ec
o
n
d
p
la
y
er
,
w
h
ich
s
h
o
w
s
t
h
e
tr
an
s
f
o
r
m
ati
o
n
o
f
th
is
s
e
t
in
to
-
t
h
e
v
al
u
e
o
f
th
e
FR
s
et
o
f
th
e
f
ir
s
t
p
la
y
er
;
th
at
is
,
if
(
1
,
.
.
.
,
)
th
e
s
et
o
f
FR
o
f
th
e
s
ec
o
n
d
p
lay
er
,
th
en
i
n
-
t
h
e
v
al
u
e
o
f
th
e
F
R
s
et
o
f
th
e
f
ir
s
t
p
la
y
er
w
ill
b
e
co
n
v
er
ted
to
th
e
FR
s
et
o
f
th
e
s
ec
o
n
d
p
lay
er
,
eq
u
al
to
⋅
(
1
,
.
.
.
,
)
.
R
e
m
ar
k
1
.
I
f
th
er
e
i
s
a
s
et
o
f
F
R
=
(
1
,
.
.
.
,
)
o
f
th
e
f
ir
s
t
p
la
y
er
,
th
e
n
i
f
y
o
u
p
er
f
o
r
m
t
h
e
o
p
er
atio
n
:
1
⋅
,
th
en
w
e
w
il
l
g
et
-
d
im
e
n
s
io
n
al
v
ec
to
r
,
w
h
ic
h
«
a
s
it
w
er
e
»
m
e
an
s
a
s
et
o
f
FR
S
o
f
th
e
s
ec
o
n
d
p
lay
er
.
Ho
w
ev
er
,
th
is
p
r
o
d
u
ct
m
a
k
es
i
t
p
o
s
s
ib
le
to
d
ef
i
n
e
o
n
l
y
o
n
e
co
m
p
o
n
e
n
t
o
f
th
i
s
-
d
i
m
en
s
io
n
al
v
ec
t
o
r
(
o
f
th
e
s
ec
o
n
d
p
lay
er
)
.
T
h
is
f
o
llo
w
s
f
r
o
m
th
e
f
ac
t
th
at
t
h
e
en
tire
v
ec
to
r
=
(
1
,
.
.
.
,
)
w
il
l
b
e
eq
u
iv
ale
n
t
in
e
f
f
ic
ien
c
y
t
o
o
n
l
y
t
h
is
o
n
e
co
m
p
o
n
en
t.
Fo
r
th
e
o
th
er
co
m
p
o
n
e
n
ts
o
f
th
e
F
R
s
et
o
f
t
h
e
s
ec
o
n
d
p
la
y
er
,
th
er
e
is
n
o
lo
n
g
er
a
n
FR
s
et
o
f
t
h
e
f
ir
s
t
p
la
y
er
t
h
at
w
o
u
ld
b
e
eq
u
i
v
alen
t
i
n
e
f
f
icie
n
c
y
to
th
is
co
m
p
o
n
en
t
o
f
th
e
s
ec
o
n
d
p
la
y
er
.
T
h
e
e
n
tire
s
et
o
f
F
R
o
f
t
h
e
f
ir
s
t
p
la
y
er
«
w
e
n
t
»
to
«
eq
u
a
lize
»
in
e
f
f
icie
n
c
y
w
ith
o
n
e
co
m
p
o
n
e
n
t
o
f
th
e
s
et
o
f
F
R
o
f
th
e
s
ec
o
n
d
p
la
y
er
.
T
h
er
ef
o
r
e,
it
is
n
ec
e
s
s
ar
y
to
s
p
lit
t
h
e
s
e
t
o
f
F
R
in
to
p
ar
ts
s
o
t
h
at
it
is
p
o
s
s
ib
le
to
«
eq
u
alize
»
th
e
ef
f
ec
ti
v
e
n
ess
o
f
th
e
s
et
s
o
f
FR
o
f
t
h
e
s
ec
o
n
d
p
la
y
er
f
o
r
all
its
co
m
p
o
n
e
n
ts
.
T
h
is
is
d
o
n
e
b
y
in
tr
o
d
u
ci
n
g
a
s
et:
(
=
1
,
.
.
.
,
)
:
≥
0
,
∑
=
1
=
1
.
No
te
t
h
at
t
h
e
s
elec
tio
n
o
f
t
h
ese
co
e
f
f
icien
ts
ca
n
b
e
m
ad
e
i
n
o
th
er
w
a
y
s
,
n
o
t n
ec
es
s
ar
il
y
a
s
d
escr
i
b
ed
ab
o
v
e.
T
h
e
s
am
e
i
s
tr
u
e
f
o
r
th
e
s
et
o
f
FR
o
f
th
e
s
ec
o
n
d
p
la
y
er
.
W
ith
in
t
h
e
f
r
a
m
e
w
o
r
k
o
f
t
h
ese
d
esig
n
atio
n
s
an
d
r
e
m
ar
k
s
,
1
o
f
th
e
s
tate
(
1
)
an
d
(
1
)
at
a
m
o
m
e
n
t i
n
ti
m
e
=
1
ar
e
d
et
er
m
in
ed
f
r
o
m
t
h
e
r
elatio
n
s
:
(
1
)
=
⋅
(
0
)
−
(
0
)
⋅
⋅
(
0
)
−
⋅
2
⋅
(
0
)
⋅
⋅
(
0
)
(
1
)
(
1
)
=
⋅
(
0
)
−
(
0
)
⋅
⋅
(
0
)
−
⋅
1
⋅
(
0
)
⋅
⋅
(
0
)
(
2
)
W
e
w
ill
co
n
d
u
ct
a
s
tep
–
by
–
s
t
ep
ex
p
lan
atio
n
o
f
t
h
e
r
elatio
n
s
(
1
)
an
d
(
2
)
.
A
t
th
e
b
eg
in
n
i
n
g
,
w
e
w
ill
d
escr
ib
e
th
e
ac
tio
n
s
o
f
t
h
e
f
ir
s
t p
lay
er
a
n
d
th
e
s
ec
o
n
d
p
la
y
er
.
−
Step
1
:
th
e
f
ir
s
t p
la
y
er
in
cr
ea
s
ed
th
e
s
et
o
f
h
is
F
R
w
it
h
(
0
)
b
ef
o
r
e
⋅
(
0
)
.
−
Step
2
:
th
e
f
ir
s
t
p
la
y
er
allo
ca
te
d
a
p
a
r
t
o
f
h
is
FR
s
et
f
o
r
th
e
d
ev
elo
p
m
e
n
t
o
f
h
i
s
to
o
ls
in
P
r
o
j
e
ct
1
in
th
e
f
o
r
m
o
f
a
s
et
o
f
FR
(
0
)
⋅
⋅
(
0
)
.
Her
e
(
0
)
,
a
d
iag
o
n
al
m
atr
i
x
o
f
o
r
d
er
,
co
n
s
is
tin
g
o
f
ele
m
e
n
t
s
(
0
)
:
(
0
)
≥
0
,
∑
(
0
)
=
1
=
1
.
−
Step
3
:
th
e
f
ir
s
t
p
la
y
er
d
eter
m
i
n
ed
(
b
ased
o
n
th
e
s
ta
tis
tic
s
o
f
t
h
e
i
m
p
le
m
e
n
tatio
n
o
f
p
r
ev
io
u
s
s
i
m
ilar
p
r
o
j
ec
ts
)
th
e
s
tr
u
ct
u
r
e
(
s
h
ar
e)
o
f
th
eir
s
et
s
o
f
F
R
co
r
r
esp
o
n
d
in
g
to
t
h
e
in
s
tr
u
m
e
n
ts
o
f
P
r
o
j
ec
t
1
,
f
o
r
ef
f
ec
ti
v
e
co
m
p
eti
tio
n
w
it
h
P
r
o
j
ec
t
2
o
f
th
e
s
ec
o
n
d
p
la
y
er
f
o
r
ea
ch
in
s
tr
u
m
en
t
o
f
P
r
o
j
ec
t
2
.
T
h
er
ef
o
r
e,
f
o
r
ea
ch
co
m
p
o
n
e
n
t
o
f
th
e
s
et
o
f
F
R
o
f
th
e
s
ec
o
n
d
p
lay
er
.
T
h
is
s
tr
u
ctu
r
e
is
d
ef
i
n
ed
b
y
d
iag
o
n
al
ele
m
en
t
s
(
=
1
,
.
.
.
,
)
:
≥
0
,
∑
=
1
=
1
,
w
h
ich
m
a
k
e
u
p
th
e
d
ia
g
o
n
a
l
m
atr
i
x
.
−
Step
4
:
th
e
f
ir
s
t
p
la
y
er
,
h
ig
h
li
g
h
t
in
g
h
is
s
et
o
f
FR
(
0
)
⋅
⋅
(
0
)
,
lead
s
to
th
e
co
r
r
esp
o
n
d
in
g
r
ea
ctio
n
o
f
th
e
s
ec
o
n
d
p
l
a
y
er
.
I
t
ad
d
itio
n
all
y
h
i
g
h
lig
h
t
s
a
s
et
o
f
FR
as
eq
u
al
⋅
1
⋅
(
0
)
⋅
⋅
(
0
)
,
in
o
r
d
er
to
c
o
m
p
ete
w
it
h
P
r
o
j
ec
t 1
.
Si
m
i
lar
l
y
,
t
h
e
ac
tio
n
s
o
f
t
h
e
s
e
co
n
d
p
lay
er
ar
e
ex
p
lai
n
ed
.
−
Step
5
:
th
e
s
ec
o
n
d
p
la
y
er
in
cr
ea
s
ed
th
e
s
et
o
f
h
is
FR
w
i
th
(
0
)
до
⋅
(
0
)
.
−
Step
6
:
th
e
s
ec
o
n
d
p
la
y
er
allo
ca
ted
p
ar
t
o
f
th
e
s
et
o
f
h
i
s
F
R
S
f
o
r
th
e
d
ev
elo
p
m
e
n
t
o
f
h
i
s
t
o
o
ls
in
P
r
o
j
ec
t
2
in
t
h
e
f
o
r
m
o
f
a
s
et
o
f
F
R
S
(
0
)
⋅
⋅
(
0
)
.
Her
e
(
0
)
is
a
d
ia
g
o
n
al
m
atr
i
x
o
f
o
r
d
er
,
co
n
s
is
tin
g
o
f
ele
m
e
n
ts
(
0
)
:
(
0
)
≥
0
,
∑
(
0
)
=
1
=
1
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
1
6
9
3
-
6930
T
E
L
KOM
NI
K
A
T
elec
o
m
m
u
n
C
o
m
p
u
t E
l
C
o
n
tr
o
l
,
Vo
l.
22
,
No
.
6
,
Dec
em
b
er
20
24
:
1
3
6
9
-
1381
1374
−
Step
7
:
th
e
s
ec
o
n
d
p
la
y
er
h
as
d
eter
m
in
ed
(
b
ased
o
n
th
e
s
tati
s
tics
o
f
t
h
e
i
m
p
le
m
e
n
tatio
n
o
f
s
i
m
ilar
p
r
ev
io
u
s
p
r
o
j
ec
ts
)
th
e
s
tr
u
c
tu
r
e
(
s
h
ar
e)
o
f
th
eir
s
ets
o
f
F
R
co
r
r
esp
o
n
d
in
g
to
th
e
i
n
s
tr
u
m
en
ts
o
f
P
r
o
j
ec
t
2
f
o
r
ef
f
ec
ti
v
e
co
m
p
eti
tio
n
w
it
h
P
r
o
j
ec
t
1
o
f
th
e
f
ir
s
t
p
la
y
er
f
o
r
ea
ch
in
s
tr
u
m
en
t
o
f
P
r
o
j
ec
t
1
.
T
h
e
r
ef
o
r
e,
f
o
r
ea
ch
co
m
p
o
n
e
n
t
o
f
t
h
e
s
et
o
f
FR
o
f
th
e
f
ir
s
t
p
la
y
er
.
T
h
is
s
tr
u
ctu
r
e
is
d
ef
i
n
ed
b
y
d
i
ag
o
n
al
ele
m
en
t
s
(
=
1
,
.
.
.
,
)
:
≥
0
,
∑
=
1
=
1
,
w
h
ich
m
a
k
e
u
p
th
e
d
ia
g
o
n
a
l
m
atr
i
x
.
−
Step
8
:
th
e
s
ec
o
n
d
p
la
y
er
,
h
ig
h
li
g
h
t
in
g
h
is
s
et
o
f
F
R
(
0
)
⋅
⋅
(
0
)
,
lead
s
to
th
e
co
r
r
esp
o
n
d
in
g
r
ea
ctio
n
o
f
th
e
f
ir
s
t
p
la
y
er
.
I
t
ad
d
itio
n
a
ll
y
allo
ca
te
s
a
s
et
o
f
F
R
,
eq
u
al
⋅
2
⋅
(
0
)
⋅
⋅
(
0
)
,
in
o
r
d
er
to
co
m
p
et
e
w
it
h
P
r
o
j
ec
t 2
.
T
h
u
s
,
th
e
s
et
s
o
f
F
R
p
la
y
er
s
(
1
)
a
n
d
(
1
)
at
a
m
o
m
en
t
i
n
ti
m
e
=
1
ar
e
d
e
ter
m
i
n
ed
f
r
o
m
th
e
r
atio
s
(
1
)
an
d
(
2
)
.
T
h
e
ter
m
s
o
f
t
h
e
en
d
o
f
th
e
tr
ad
i
n
g
s
ess
io
n
at
th
e
ti
m
e
=
1
th
er
e
w
il
l
b
e
f
u
lf
il
l
m
e
n
t
o
f
t
h
e
co
n
d
itio
n
s
(
3
)
an
d
(
4
)
:
(
(
1
)
,
(
1
)
)
∈
0
w
it
h
co
n
f
id
en
ce
≥
0
, (
0
≤
0
≤
1
)
(
3
)
(
(
1
)
,
(
1
)
)
∈
0
w
it
h
co
n
f
id
en
ce
≥
0
(
4
)
(
(
1
)
,
(
1
)
)
∈
0
w
it
h
co
n
f
id
en
ce
≥
0
(
5
)
(
(
1
)
,
(
1
)
)
∈
0
w
it
h
co
n
f
id
en
ce
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0
(
6)
w
h
er
e
0
,
0
,
0
,
an
d
0
s
u
ch
:
0
=
⋃
{
(
,
)
:
(
,
)
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≥
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⋃
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(
,
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(
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I
f
co
n
d
itio
n
(
3
)
is
m
e
t,
th
e
n
we
b
eliev
e
t
h
at
t
h
e
p
r
o
ce
d
u
r
e
f
o
r
in
v
es
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n
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t
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i
n
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as
P
r
o
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t
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ed
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u
t
to
b
e
m
o
r
e
ef
f
icie
n
t.
I
f
co
n
d
it
io
n
(
4
)
is
m
et,
t
h
e
n
w
e
co
n
s
id
e
r
th
at
t
h
e
p
r
o
ce
d
u
r
e
f
o
r
in
v
e
s
ti
n
g
i
n
P
r
o
j
ec
t
1
w
it
h
ce
r
tain
t
y
≥
0
f
in
i
s
h
ed
,
as
P
r
o
j
ec
t
2
tu
r
n
ed
o
u
t
to
b
e
m
o
r
e
ef
f
icie
n
t.
I
f
co
n
d
itio
n
(
5
)
is
m
e
t,
th
e
n
w
e
b
eliev
e
th
a
t
th
e
p
r
o
ce
d
u
r
e
f
o
r
in
v
esti
n
g
i
n
b
o
th
P
r
o
j
ec
ts
w
i
th
co
n
f
id
e
n
ce
≥
0
is
f
i
n
i
s
h
ed
,
as
th
e
y
t
u
r
n
ed
o
u
t
to
b
e
e
q
u
all
y
ef
f
ec
ti
v
e.
I
f
(
6
)
is
f
u
lf
il
led
,
th
e
p
r
o
ce
d
u
r
e
f
o
r
in
v
esti
n
g
in
P
r
o
j
ec
ts
co
n
tin
u
e
s
f
o
r
th
e
ti
m
e
p
o
in
ts
>
1
.
T
h
e
p
r
o
ce
s
s
d
escr
ib
ed
b
y
s
y
s
t
e
m
s
(
1
)
an
d
(
2
)
f
o
r
th
e
p
r
o
ce
d
u
r
e
o
f
in
v
esti
n
g
is
co
n
s
id
er
ed
w
it
h
i
n
th
e
f
r
a
m
e
w
o
r
k
o
f
th
e
s
c
h
e
m
e
o
f
a
p
o
s
itio
n
al
m
u
lti
s
tep
g
a
m
e
w
i
th
f
u
zz
y
i
n
f
o
r
m
atio
n
[
2
2
]
.
Du
e
t
o
th
e
s
y
m
m
etr
y
,
w
e
w
i
ll
li
m
it
o
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r
s
el
v
e
s
to
co
n
s
id
er
in
g
t
h
e
p
r
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b
le
m
f
r
o
m
th
e
f
ir
s
t
p
la
y
er
’
s
p
o
s
itio
n
.
T
h
e
s
ec
o
n
d
task
i
s
s
o
lv
e
d
s
i
m
ilar
l
y
.
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h
e
s
o
l
u
tio
n
to
p
r
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b
le
m
1
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to
f
in
d
t
h
e
s
e
t
o
f
«
p
r
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ce
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»
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t
h
e
f
ir
s
t
all
y
p
la
y
er
1
an
d
its
o
p
ti
m
a
l
s
tr
ateg
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s
∗
(
.
)
.
Si
m
ilar
l
y
,
t
h
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tas
k
is
s
et
f
r
o
m
th
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p
o
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t o
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v
ie
w
o
f
th
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ec
o
n
d
p
la
y
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all
y
.
T
h
e
f
ir
s
t
p
lay
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in
tas
k
1
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co
n
s
id
er
ed
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ally
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la
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d
th
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s
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o
n
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is
co
n
s
id
er
ed
an
o
p
p
o
n
en
t
p
lay
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i
n
p
r
o
b
le
m
2
.
On
t
h
e
c
o
n
tr
ar
y
–
th
e
s
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o
n
d
p
la
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c
o
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id
er
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an
all
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la
y
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d
t
h
e
f
ir
s
t
p
la
y
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i
s
an
o
p
p
o
n
en
t
p
lay
er
.
T
h
e
task
o
f
t
h
e
p
r
o
ce
d
u
r
e
f
o
r
in
v
esti
n
g
in
P
r
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j
ec
ts
b
y
m
ea
n
s
o
f
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y
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te
m
o
f
d
is
cr
ete
eq
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n
s
g
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er
ate
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ch
m
o
m
en
t
o
f
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i
m
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ly
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ter
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h
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f
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→
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–
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D
e
f
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n
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.
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s
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∗
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0
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,
(
=
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.
.
.
,
)
,
s
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c
h
t
h
at
(
,
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∈
[
0
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1
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,
(
∈
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,
∈
+
,
∈
Ф
∗
)
.
T
h
e
s
ec
o
n
d
p
la
y
er
ch
o
o
s
es
h
i
s
Evaluation Warning : The document was created with Spire.PDF for Python.
T
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KOM
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A
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m
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tr
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(
.
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b
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y
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tio
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s
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in
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tates
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a
t
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ty
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r
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:
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a
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t
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in
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ates,
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t
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s
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p
r
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e
p
o
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t
in
ti
m
e
t
to
f
u
l
f
ill co
n
d
itio
n
(
3
)
.
A
t t
h
e
s
a
m
e
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m
e,
th
i
s
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ate
g
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co
n
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t
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f
r
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m
f
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lf
illi
n
g
c
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n
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itio
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(
4
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at
p
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u
s
p
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ts
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ti
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e.
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h
e
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tes
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ll
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t
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p
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th
e
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to
f
i
n
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en
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e
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et,
as
w
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as
to
f
i
n
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h
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s
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u
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e
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1
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∗
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.
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f
o
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th
e
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ll
y
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l
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.
3
.
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ased
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ell
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an
[
2
3
]
,
th
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p
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ts
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f
ir
s
t
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b
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ilt
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tep
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tep
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t
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et
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u
ilt
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n
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s
tep
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h
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t
w
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T
h
u
s
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e
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a
p
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f
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s
e
t
f
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r
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f
ir
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a
ll
y
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I
n
t
h
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s
et
1
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a
u
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f
p
r
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n
ce
s
et
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1
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o
r
th
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f
ir
s
t
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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:
1
6
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T
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Vo
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22
,
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.
6
,
Dec
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er
20
24
:
1
3
6
9
-
1381
1376
all
y
p
la
y
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[
2
2
]
f
o
r
a
s
p
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if
ic
n
u
m
b
er
o
f
s
tep
s
,
i.e
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1
=
⋃
1
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∞
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1
W
ith
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n
t
h
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f
r
a
m
e
w
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o
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t
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o
v
e
n
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n
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r
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r
d
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th
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et
s
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f
th
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ir
s
t a
ll
y
p
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k
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ar
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m
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h
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2
2
]
s
p
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ir
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t p
la
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r
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h
th
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al:
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ite
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e.
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ich
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ir
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t p
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t r
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2
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n
o
te
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a
t
t
h
e
p
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o
f
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lar
g
e
n
u
m
b
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o
f
p
ar
a
m
eter
s
allo
w
s
t
h
e
m
to
b
e
co
n
tr
o
lled
to
ac
h
iev
e
th
e
d
esire
d
r
es
u
lt.
T
h
e
p
r
o
o
f
o
f
t
h
e
t
h
eo
r
e
m
is
g
i
v
e
n
i
n
[
2
2
]
.
T
h
e
s
o
lu
tio
n
f
r
o
m
t
h
e
p
o
in
t
o
f
v
ie
w
o
f
th
e
s
ec
o
n
d
p
lay
er
-
all
y
is
s
i
m
ilar
.
T
h
e
co
n
s
id
er
ed
m
at
h
e
m
at
ical
m
o
d
el
allo
w
ed
u
s
to
f
i
n
d
a
s
o
lu
tio
n
to
th
e
p
r
o
b
lem
o
f
ass
es
s
i
n
g
th
e
a
ttra
cti
v
en
e
s
s
o
f
in
v
e
s
ti
n
g
i
n
a
u
n
iv
er
s
it
y
clo
u
d
w
it
h
i
n
t
h
e
f
r
a
m
e
w
o
r
k
o
f
a
m
u
l
tis
tep
q
u
ali
t
y
g
a
m
e
w
it
h
f
u
zz
y
i
n
f
o
r
m
atio
n
.
T
h
e
co
n
d
itio
n
s
f
o
r
th
e
co
m
p
le
tio
n
o
f
th
e
p
r
o
ce
d
u
r
e
f
o
r
in
v
e
s
ti
n
g
in
th
e
u
n
i
v
er
s
it
y
clo
u
d
in
a
f
i
n
ite
ti
m
e
ar
e
g
iv
e
n
if
th
e
r
e
is
a
s
u
f
f
icie
n
t
n
u
m
b
er
o
f
F
R
S
f
r
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m
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n
e
o
f
t
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p
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s
w
i
th
a
g
iv
e
n
d
eg
r
ee
o
f
co
n
f
id
e
n
ce
.
4.
CO
M
P
UT
AT
I
O
NAL
E
XP
E
RIM
E
NT
AND
DI
SCU
SS
I
O
N
O
F
RE
SUL
T
S
4
.
1
.
Co
m
p
uta
t
io
na
l e
x
peri
ment
T
h
e
m
o
d
el
p
r
o
p
o
s
ed
in
th
e
p
a
p
er
w
as
i
m
p
le
m
e
n
ted
in
th
e
f
o
r
m
o
f
a
s
o
f
t
w
ar
e
m
o
d
u
le
o
f
th
e
d
ec
is
io
n
s
u
p
p
o
r
t
s
y
s
te
m
(
DS
S
)
.
C
o
m
p
u
tatio
n
a
l
ex
p
er
i
m
e
n
t
s
w
er
e
co
n
d
u
cted
in
t
h
e
P
y
C
h
ar
P
r
o
f
ess
io
n
al
p
r
o
g
r
a
m
m
in
g
en
v
ir
o
n
m
e
n
t
o
n
a
P
C
w
i
th
an
i
7
p
r
o
ce
s
s
o
r
an
d
3
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GB
R
A
M.
T
h
e
co
m
p
u
tatio
n
al
ex
p
er
i
m
e
n
ts
m
ad
e
it
p
o
s
s
ib
le
to
v
is
u
alize
t
h
e
r
es
u
lt
s
o
f
th
e
g
a
m
e,
s
ee
F
ig
u
r
es
1
a
n
d
2
.
T
h
e
p
u
r
p
o
s
e
o
f
t
h
e
co
m
p
u
tatio
n
a
l
ex
p
er
i
m
e
n
t
s
is
to
ass
es
s
th
e
attr
ac
t
iv
e
n
es
s
o
f
i
n
v
esti
n
g
p
la
y
er
s
in
a
p
ar
ticu
lar
m
o
d
el
o
f
th
e
u
n
iv
er
s
it
y
clo
u
d
.
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KOM
NI
K
A
T
elec
o
m
m
u
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C
o
m
p
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Th
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me
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1377
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Fig
u
r
e
2
.
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o
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ad
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ic
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o
v
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ed
b
y
th
e
Natio
n
al
U
n
i
v
er
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it
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B
io
r
eso
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v
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ta
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Ma
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k
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v
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r
ai
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th
e
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o
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it
J
o
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t
Sto
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m
p
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a
k
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tio
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P
ed
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o
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n
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f
ter
A
b
ai
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A
l
m
at
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ak
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n
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.
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n
th
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f
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s
t
s
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g
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o
f
m
o
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g
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f
i
v
e
m
ai
n
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lo
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s
w
er
e
s
elec
ted
to
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t
th
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m
o
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el,
f
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h
FR
ar
e
n
ee
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ed
.
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r
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r
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s
o
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t
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e,
m
ai
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u
til
it
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ts
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n
d
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e
an
al
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ze
d
.
T
o
ca
lcu
late
t
h
e
co
s
ts
,
th
e
an
al
y
tica
l d
ata
o
f
p
r
ices
f
o
r
s
er
v
ices o
f
I
T
co
r
p
o
r
atio
n
s
w
er
e
an
a
l
y
ze
d
,
i
n
w
h
ic
h
th
e
m
a
in
ch
ar
ac
ter
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s
tics
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e
th
e
n
u
m
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o
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s
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4
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2
5
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ar
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Dec
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20
24
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1381
1378
p
r
ef
er
ab
le.
T
h
er
ef
o
r
e,
in
th
e
m
atr
ices
,
,
1
,
2
,
,
p
ar
a
m
eter
s
w
er
e
s
p
ec
i
f
ied
t
h
at
ch
ar
ac
ter
ize
th
e
“
s
tr
u
ct
u
r
e
”
o
f
th
e
s
e
t
o
f
FR
p
la
y
er
s
,
w
h
ic
h
i
n
co
m
p
u
ta
tio
n
al
e
x
p
er
i
m
e
n
ts
m
a
k
es
it
p
o
s
s
ib
le
t
o
tak
e
in
to
ac
co
u
n
t,
f
o
r
ex
a
m
p
le,
t
h
e
i
n
s
tab
il
it
y
o
f
ex
ch
a
n
g
e
r
ates
a
n
d
th
e
g
en
er
al
ec
o
n
o
m
ic
a
n
d
p
o
liti
ca
l
s
tate
b
o
th
in
t
h
e
s
tate
an
d
in
th
e
i
n
ter
n
atio
n
al
m
ar
k
et
as
a
w
h
o
le.
Fig
u
r
e
2
s
h
o
w
s
a
g
r
ap
h
ical
r
ep
r
esen
tatio
n
o
f
t
h
e
ex
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n
t
r
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w
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n
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ar
e
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en
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w
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ar
e
th
e
b
o
u
n
d
ar
ies
o
f
t
w
o
s
et
s
.
T
h
e
f
ir
s
t
s
et
i
s
t
h
e
“
g
u
ar
a
n
tee
”
s
et
o
f
th
e
f
ir
s
t
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la
y
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,
w
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p
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ty
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th
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n
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t
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v
e
th
e
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f
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t
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e
n
es
s
o
f
P
r
o
j
ec
t 2
.
T
h
is
is
th
e
s
et
o
f
s
tates
o
f
p
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s
i
n
+
3
th
e
p
o
s
itiv
e
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r
th
an
t,
w
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ic
h
ar
e
lo
ca
ted
b
elo
w
th
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h
y
p
er
p
lan
e
co
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ed
b
lu
e.
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h
e
s
ec
o
n
d
s
et
is
th
e
s
et
o
f
s
ets o
f
FR
p
la
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er
s
t
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at
h
a
v
e
th
e
p
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p
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ty
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m
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t p
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p
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v
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tiv
e
n
e
s
s
(
attr
ac
ti
v
e
n
ess
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o
f
P
r
o
j
ec
t
1
.
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h
is
is
th
e
s
et
o
f
s
tates
o
f
p
la
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s
in
+
3
th
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iti
v
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o
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th
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t,
w
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lo
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ed
b
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e.
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e
s
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o
n
d
s
et
is
th
e
s
et
o
f
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et
s
o
f
F
R
p
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er
s
th
a
t
h
a
v
e
th
e
p
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p
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ty
th
at
o
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m
t
h
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f
ir
s
t
p
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p
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v
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th
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f
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n
es
s
(
attr
ac
tiv
en
e
s
s
)
o
f
P
r
o
j
ec
t
1
.
T
h
is
is
th
e
s
et
o
f
s
tates
o
f
p
la
y
er
s
i
n
+
3
th
e
p
o
s
itiv
e
o
r
th
an
t,
w
h
ich
ar
e
lo
ca
ted
b
elo
w
th
e
h
y
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e
co
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ed
p
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p
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T
h
en
,
if
th
e
s
e
ts
o
f
F
R
p
la
y
er
s
ar
e
“
b
elo
w
”
t
h
e
s
e
h
y
p
er
p
la
n
es
i
n
a
p
o
s
itiv
e
t
h
r
ee
-
d
i
m
e
n
s
io
n
al
o
r
th
an
t,
th
e
n
t
h
e
f
ir
s
t
p
lay
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ac
h
iev
e
s
h
i
s
g
o
al
-
h
e
p
r
o
v
es
th
e
ef
f
ec
tiv
e
n
e
s
s
o
f
P
r
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j
ec
t
1
an
d
th
e
in
ef
f
ec
ti
v
en
es
s
o
f
P
r
o
j
ec
t
2
.
C
o
n
s
id
er
in
g
t
w
o
p
r
o
j
ec
ts
,
w
e
n
o
ticed
th
at
f
i
n
an
c
in
g
o
n
e
p
r
o
j
ec
t
in
ev
itab
l
y
ca
u
s
es
a
d
e
s
ir
e
to
i
m
p
r
o
v
e
th
e
q
u
alit
y
o
f
it
s
p
r
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j
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t
w
it
h
ad
d
itio
n
al
f
u
n
d
i
n
g
.
T
h
is
in
ter
ac
t
i
o
n
r
esu
l
ts
i
n
a
d
y
n
a
m
ic
g
a
m
e
w
h
er
e
ea
ch
p
la
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s
ee
k
s
to
m
ax
i
m
ize
h
is
i
n
v
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t
m
e
n
t
w
h
ile
m
i
n
i
m
izi
n
g
th
e
attr
ac
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en
e
s
s
o
f
t
h
e
alter
n
a
tiv
e
p
r
o
j
ec
t
to
h
is
co
m
p
eti
to
r
.
P
r
o
j
e
ct
1
(
“
P
r
iv
at
e
C
lo
u
d
”
)
allo
w
s
t
h
e
u
n
iv
er
s
i
t
y
to
cu
s
to
m
ize
th
e
c
lo
u
d
to
i
ts
s
p
ec
i
f
ic
b
u
s
in
e
s
s
n
ee
d
s
,
p
r
o
v
id
in
g
g
r
ea
ter
f
le
x
ib
ilit
y
an
d
co
n
tr
o
l
o
v
er
r
eso
u
r
ce
s
.
T
h
is
b
en
ef
it
is
esp
ec
iall
y
i
m
p
o
r
tan
t
f
o
r
u
n
i
v
er
s
i
ties
w
i
th
u
n
iq
u
e
o
r
s
p
ec
if
ic
r
eq
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ir
e
m
en
t
s
.
Ho
w
ev
e
r
,
s
u
ch
c
u
s
to
m
izatio
n
s
m
a
y
r
eq
u
ir
e
s
ig
n
i
f
ican
t
in
i
tial
co
s
ts
an
d
e
f
f
o
r
t
to
d
ev
elo
p
an
d
m
ain
tain
.
P
r
o
j
ec
t
2
(
“
I
aa
S
”
)
,
w
h
ic
h
v
ie
w
s
I
aa
S
,
p
r
o
v
id
es
a
m
o
r
e
s
ta
n
d
ar
d
ized
ap
p
r
o
ac
h
th
at
ca
n
r
ed
u
ce
u
p
f
r
o
n
t
co
s
ts
a
n
d
s
i
m
p
li
f
y
t
h
e
i
m
p
le
m
e
n
tatio
n
p
r
o
ce
s
s
.
Ho
w
e
v
er
,
th
is
d
e
s
ig
n
m
a
y
b
e
less
f
lex
ib
le
an
d
li
m
ited
b
y
th
e
ca
p
ab
ilit
ies o
f
f
er
ed
b
y
t
h
e
s
e
r
v
ice
p
r
o
v
id
er
.
Ou
r
r
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ch
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a
s
s
h
o
w
n
t
h
at,
d
ep
en
d
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n
f
i
n
an
ci
n
g
p
ar
am
eter
s
a
n
d
p
la
y
er
s
tr
ateg
ie
s
,
p
r
ef
er
en
ce
s
ca
n
c
h
an
g
e.
I
f
th
e
f
ir
s
t
p
la
y
er
ca
n
p
r
o
v
e
t
h
e
e
f
f
ec
tiv
e
n
e
s
s
o
f
P
r
o
j
ec
t
1
w
i
th
s
u
f
f
icie
n
t
FR
,
h
e
w
i
ll
b
e
ab
le
to
attr
ac
t
m
o
r
e
in
v
est
m
e
n
t
an
d
p
r
o
v
e
th
e
in
e
f
f
ec
ti
v
en
e
s
s
o
f
P
r
o
j
ec
t
2
f
o
r
th
e
s
ec
o
n
d
p
lay
er
.
T
h
e
r
ev
er
s
e
is
also
tr
u
e.
T
h
ese
f
in
d
i
n
g
s
allo
w
u
n
iv
er
s
itie
s
a
n
d
o
th
er
ed
u
ca
ti
o
n
al
in
s
tit
u
tio
n
s
to
m
ak
e
m
o
r
e
i
n
f
o
r
m
ed
d
ec
is
io
n
s
ab
o
u
t
th
eir
clo
u
d
s
er
v
ice
m
o
d
el,
tak
in
g
in
to
ac
co
u
n
t
th
eir
f
in
an
c
ial
ca
p
ab
ilit
ies
an
d
lo
n
g
-
ter
m
g
o
als.
Go
in
g
f
o
r
w
ar
d
,
m
o
r
e
co
m
p
le
x
s
ce
n
ar
io
s
ca
n
b
e
co
n
s
id
er
ed
th
at
in
cl
u
d
e
ad
d
itio
n
al
f
ac
to
r
s
s
u
ch
as
ch
an
g
es
i
n
m
ar
k
e
t
co
n
d
itio
n
s
o
r
tech
n
o
lo
g
ical
i
n
n
o
v
atio
n
.
5.
DIS
CU
SS
I
O
N
O
F
T
H
E
RE
SUL
T
S O
F
A
CO
M
P
UT
AT
I
O
NAL
E
XP
E
R
I
M
E
NT
T
h
u
s
,
t
h
e
p
r
o
p
o
s
ed
m
o
d
el
d
e
s
cr
ib
es
th
e
d
y
n
a
m
ics
o
f
m
u
lt
id
i
m
en
s
io
n
a
l
v
ar
iab
le
s
,
w
h
ic
h
m
ad
e
it
p
o
s
s
ib
le
to
c
o
n
s
id
er
th
e
g
en
er
al
p
r
o
b
lem
o
f
in
v
est
in
g
in
an
ac
ad
em
ic
clo
u
d
w
it
h
in
t
h
e
f
r
a
m
e
w
o
r
k
o
f
a
g
a
m
e
s
ch
e
m
e,
tak
i
n
g
in
to
ac
co
u
n
t
f
u
zz
y
i
n
f
o
r
m
atio
n
an
d
th
e
FR
av
ailab
le
to
th
e
ed
u
ca
tio
n
al
in
s
t
itu
tio
n
.
Sets
o
f
p
r
ef
er
en
ce
s
a
n
d
o
p
ti
m
al
s
tr
at
eg
ies
f
o
r
allo
ca
tin
g
FR
f
o
r
b
u
ild
in
g
a
n
ac
ad
e
m
ic
clo
u
d
wer
e
id
en
tif
ied
.
T
h
e
s
tr
en
g
th
o
f
t
h
e
s
t
u
d
y
is
t
h
at
t
h
e
u
s
e
o
f
a
g
a
m
e
m
o
d
el
m
a
k
es
it
p
o
s
s
ib
le
to
tak
e
in
to
ac
co
u
n
t
f
ac
to
r
s
s
u
c
h
as
in
s
tab
il
it
y
o
f
e
x
ch
a
n
g
e
r
ates,
e
co
n
o
m
ic
a
n
d
p
o
liti
ca
l c
o
n
d
itio
n
s
,
t
h
e
ab
ilit
y
to
p
r
ed
ict
th
e
f
i
n
an
ci
n
g
o
f
P
r
o
j
ec
ts
in
t
h
e
ev
e
n
t
o
f
u
n
f
o
r
esee
n
cir
cu
m
s
ta
n
ce
s
ca
u
s
ed
b
y
t
h
e
ac
ti
o
n
s
o
f
t
h
e
e
n
e
m
y
p
la
y
er
a
n
d
u
n
clea
r
i
n
f
o
r
m
atio
n
ab
o
u
t
th
e
f
i
n
a
n
cial
co
n
d
itio
n
o
f
its
co
m
p
etito
r
.
A
t
th
e
s
a
m
e
ti
m
e,
r
esear
ch
er
s
h
a
v
e
t
h
e
o
p
p
o
r
tu
n
it
y
to
u
s
e
t
h
e
m
o
d
el
i
n
s
i
m
u
latio
n
m
o
d
e,
r
ely
in
g
o
n
t
h
e
ad
eq
u
ac
y
o
f
th
e
d
e
v
elo
p
ed
m
o
d
el
to
th
e
r
ea
l
f
in
a
n
cin
g
p
r
o
ce
s
s
.
A
w
ea
k
n
ess
o
f
th
e
s
t
u
d
y
is
t
h
a
t
m
o
r
e
r
esear
ch
is
n
ee
d
ed
in
to
th
e
r
is
k
f
ac
to
r
s
a
s
s
o
ciate
d
w
it
h
ac
ad
em
ic
clo
u
d
d
ep
lo
y
m
e
n
t.
An
d
also
th
at
th
e
co
n
s
id
er
ed
m
o
d
el
r
ep
r
esen
ts
a
“
p
o
r
tr
ait
”
o
f
r
ea
lit
y
th
at
d
o
es
n
o
t
f
u
ll
y
r
ef
lect
r
ea
lit
y
.
Fo
r
ex
a
m
p
le,
c
o
n
s
id
er
atio
n
o
f
a
d
if
f
er
en
tial
m
o
d
el,
w
h
ic
h
ta
k
es
a
d
i
f
f
er
en
tial
g
a
m
e
a
s
a
b
asis
,
w
o
u
ld
m
a
k
e
it
p
o
s
s
ib
le
to
o
b
tain
a
b
etter
p
ict
u
r
e
o
f
t
h
e
p
r
o
ce
s
s
u
n
d
er
co
n
s
id
er
atio
n
a
n
d
,
th
er
ef
o
r
e,
w
o
u
ld
m
ak
e
it p
o
s
s
ib
le
to
s
o
lv
e
th
e
p
r
o
b
lem
tak
in
g
i
n
to
ac
co
u
n
t a
d
d
itio
n
al
f
ac
to
r
s
an
d
o
b
tain
a
h
ig
h
-
q
u
alit
y
f
o
r
ec
ast.
P
r
o
s
p
ec
ts
f
o
r
f
u
t
u
r
e
r
esear
ch
in
clu
d
e
d
ev
elo
p
in
g
t
h
e
m
o
d
el
th
r
o
u
g
h
r
is
k
f
ac
to
r
an
al
y
s
i
s
to
m
o
r
e
ac
cu
r
atel
y
a
s
s
es
s
th
e
r
is
k
s
as
s
o
ciate
d
w
it
h
ac
ad
e
m
ic
clo
u
d
d
ep
lo
y
m
e
n
t.
C
o
n
tin
u
ed
m
o
d
elin
g
o
v
er
lo
n
g
er
p
er
io
d
s
is
also
n
ee
d
ed
to
d
ete
r
m
in
e
lo
n
g
-
ter
m
ec
o
n
o
m
ic
b
en
ef
its
.
A
n
d
,
tak
i
n
g
i
n
to
ac
co
u
n
t
th
e
ab
o
v
e,
it
is
n
ec
es
s
ar
y
to
co
m
p
licate
t
h
e
m
o
d
el
s
o
f
t
h
e
p
r
o
ce
s
s
es
b
ein
g
s
t
u
d
ied
in
o
r
d
er
to
s
u
cc
ess
f
u
ll
y
i
m
p
le
m
e
n
t
th
e
d
ev
elo
p
ed
alg
o
r
ith
m
s
f
o
r
s
o
l
v
i
n
g
p
r
ac
tical
p
r
o
b
le
m
s
.
6.
CO
NCLU
SI
O
N
T
h
is
p
ap
er
ex
a
m
in
e
s
a
m
u
l
tifa
cto
r
ial
m
o
d
el
f
o
r
ass
es
s
i
n
g
i
n
v
e
s
t
m
en
t
o
p
tio
n
s
i
n
a
u
n
i
v
er
s
it
y
c
lo
u
d
u
n
d
er
co
n
d
itio
n
s
o
f
f
u
zz
y
i
n
f
o
r
m
at
io
n
.
U
n
li
k
e
s
i
m
ilar
m
o
d
els,
o
u
r
m
o
d
el
a
s
s
u
m
e
s
t
h
at
t
h
e
d
y
n
a
m
ics
o
f
t
h
e
p
lay
er
s
’
f
in
a
n
cial
s
tates
is
s
p
ec
if
ied
b
y
a
s
y
s
te
m
o
f
d
is
cr
ete
eq
u
atio
n
s
th
at
d
escr
ib
e
th
e
d
y
n
a
m
ics
o
f
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