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a
t
io
n
t
o
wa
r
d
p
r
o
b
ab
i
l
i
s
ti
c
q
u
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t
u
m
s
t
a
t
e
s
.
E
ar
l
y
Q
M
L
ap
p
r
o
a
ch
e
s
,
p
a
r
t
i
cu
l
a
r
ly
q
u
an
t
u
m
s
u
p
p
o
r
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v
e
c
t
o
r
m
a
ch
i
n
e
s
,
d
em
o
n
s
t
r
a
te
d
t
h
e
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o
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n
t
i
a
l
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q
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t
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m
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s
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m
s
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o
en
h
an
c
e
s
u
p
e
r
v
i
s
e
d
l
e
a
r
n
i
n
g
p
er
f
o
r
m
an
c
e
[
1
]
,
[
2
]
.
A
s
q
u
an
t
u
m
t
e
ch
n
o
lo
g
i
e
s
h
a
v
e
m
a
tu
r
ed
,
t
h
e
ir
ap
p
l
i
c
a
t
io
n
s
h
av
e
e
x
p
an
d
e
d
a
c
r
o
s
s
d
i
v
e
r
s
e
d
o
m
a
i
n
s
s
u
c
h
a
s
c
h
em
i
s
t
r
y
,
ag
r
i
c
u
l
t
u
r
e
,
n
a
tu
r
a
l
l
a
n
g
u
ag
e
p
r
o
c
e
s
s
i
n
g
,
an
d
s
m
a
r
t
h
e
a
l
t
h
c
a
r
e,
b
e
n
ef
i
t
i
n
g
f
r
o
m
in
c
r
e
a
s
e
d
c
o
m
p
u
t
a
t
i
o
n
a
l
c
a
p
ab
il
i
t
y
an
d
r
a
p
id
al
g
o
r
i
t
h
m
i
c
d
ev
e
l
o
p
m
en
t
[
3
]
–
[
7
]
.
Q
u
a
n
tu
m
co
m
p
u
t
i
n
g
en
a
b
l
e
s
t
h
e
e
f
f
i
c
i
en
t
h
an
d
l
in
g
o
f
co
m
p
l
ex
o
p
ti
m
i
z
a
t
io
n
an
d
c
l
a
s
s
i
f
i
c
a
t
i
o
n
p
r
o
b
le
m
s
t
h
a
t
a
r
e
i
n
f
e
a
s
i
b
le
f
o
r
c
la
s
s
i
c
a
l
s
y
s
t
em
s
,
p
o
s
i
t
io
n
in
g
QM
L
a
s
a
t
r
an
s
f
o
r
m
a
t
iv
e
p
ar
a
d
i
g
m
f
o
r
b
i
g
-
d
a
ta
e
n
v
ir
o
n
m
en
t
s
[
8
]
,
[
9
]
.
I
n
th
e
h
e
a
l
th
c
a
r
e
d
o
m
a
in
,
q
u
an
t
u
m
m
a
ch
i
n
e
le
a
r
n
i
n
g
h
a
s
e
v
o
l
v
ed
a
s
a
n
a
t
u
r
a
l
e
x
t
e
n
s
io
n
o
f
q
u
an
t
u
m
c
o
m
p
u
t
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n
g
d
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e
t
o
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t
s
ab
i
l
i
t
y
to
m
o
d
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l
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ig
h
ly
n
o
n
-
l
in
e
ar
a
n
d
h
ig
h
-
d
i
m
en
s
i
o
n
a
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l
d
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ta
.
C
l
a
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s
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m
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t
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s
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s
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t
r
i
c
t
ed
to
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in
a
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y
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p
r
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e
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ta
t
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o
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s
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s
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n
g
b
i
t
s
,
wh
e
r
e
a
s
q
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t
u
m
s
y
s
t
e
m
s
em
p
lo
y
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u
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t
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a
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i
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t
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l
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ip
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t
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l
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eo
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ly
.
Mo
r
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o
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r
,
q
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t
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m
en
t
a
n
g
l
e
m
en
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l
lo
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l
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a
r
a
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n
,
p
r
o
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id
in
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Q
M
L
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e
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e
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m
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a
l
f
e
a
tu
r
e
i
n
t
e
r
a
c
t
io
n
s
[
1
0
]
–
[
1
3
]
.
W
i
t
h
t
h
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e
x
p
o
n
e
n
t
i
a
l
g
r
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le
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t
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n
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c
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ea
l
t
h
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e
co
r
d
s
,
m
ed
i
c
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l
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m
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g
in
g
d
at
a
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d
w
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a
b
le
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s
o
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t
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a
m
s
,
h
e
a
l
th
c
a
r
e
an
a
ly
t
i
c
s
in
cr
e
as
i
n
g
l
y
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e
l
i
e
s
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g
e
-
s
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a
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e
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a
t
a
p
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t
if
y
p
a
t
t
e
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n
s
a
n
d
c
o
r
r
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la
ti
o
n
s
e
s
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t
i
a
l
f
o
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d
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ag
n
o
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s
,
p
r
o
g
n
o
s
i
s
,
a
n
d
t
r
ea
t
m
en
t
p
l
an
n
i
n
g
[
1
4
]
.
Q
M
L
-
b
a
s
e
d
ap
p
r
o
a
c
h
e
s
ca
n
ac
ce
l
e
r
a
t
e
th
e
s
e
an
a
l
y
t
ic
a
l
p
r
o
c
e
s
s
e
s
b
y
i
m
p
r
o
v
i
n
g
l
e
ar
n
i
n
g
ef
f
i
c
i
en
cy
,
g
e
n
er
a
l
i
z
a
t
io
n
c
a
p
ab
i
l
i
t
y
,
an
d
c
o
m
p
u
t
a
t
i
o
n
a
l
s
c
a
l
ab
i
l
i
t
y
[
1
5
]
–
[
1
8
]
.
A
s
a
r
e
s
u
l
t
,
Q
M
L
o
f
f
er
s
a
p
r
o
m
i
s
i
n
g
f
o
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n
d
a
t
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o
n
f
o
r
a
n
a
ly
z
in
g
c
o
m
p
l
ex
d
i
s
e
a
s
e
s
t
r
u
c
t
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r
e
s
a
n
d
e
n
ab
l
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n
g
in
t
e
l
l
i
g
en
t
h
e
a
l
th
c
ar
e
d
e
c
i
s
i
o
n
-
s
u
p
p
o
r
t
s
y
s
t
e
m
s
[
1
9
]
–
[
2
1
]
.
S
e
v
e
r
a
l
q
u
a
n
tu
m
a
lg
o
r
i
t
h
m
s
h
a
v
e
b
ee
n
d
e
v
e
l
o
p
e
d
to
co
m
p
le
m
en
t
c
l
a
s
s
i
c
a
l
m
a
c
h
in
e
l
e
a
r
n
i
n
g
m
o
d
e
l
s
,
in
c
lu
d
in
g
q
u
an
t
u
m
n
e
u
r
a
l
n
e
t
wo
r
k
s
(
Q
N
N
s
)
,
q
u
a
n
t
u
m
s
u
p
p
o
r
t
v
e
c
to
r
m
ac
h
in
e
s
(
Q
S
V
M
s
)
,
a
n
d
v
a
r
io
u
s
h
y
b
r
i
d
q
u
an
t
u
m
–
c
la
s
s
i
c
a
l
a
r
c
h
i
te
c
t
u
r
e
s
.
T
h
e
s
e
a
l
g
o
r
i
t
h
m
s
e
x
p
l
o
i
t
q
u
an
t
u
m
p
ar
al
l
e
l
i
s
m
,
r
e
s
o
n
an
c
e
,
a
n
d
m
ea
s
u
r
em
e
n
t
-
d
r
i
v
en
o
p
t
i
m
i
z
a
t
i
o
n
t
o
e
n
h
an
c
e
p
r
e
d
ic
t
i
v
e
a
c
cu
r
a
cy
w
h
i
l
e
r
e
d
u
c
in
g
c
o
m
p
u
t
a
t
i
o
n
a
l
o
v
er
h
e
ad
.
B
o
th
Q
S
V
M
an
d
Q
N
N
a
r
ch
i
t
e
c
tu
r
e
s
a
i
m
to
lev
e
r
ag
e
q
u
a
n
tu
m
p
r
o
p
e
r
t
ie
s
s
u
c
h
a
s
s
u
p
er
p
o
s
i
t
i
o
n
a
n
d
e
n
t
an
g
l
em
e
n
t
t
o
ef
f
i
c
ien
t
l
y
r
e
p
r
e
s
e
n
t
f
e
a
tu
r
e
s
p
a
c
es
t
h
a
t
a
r
e
o
th
e
r
w
i
s
e
in
t
r
ac
t
ab
l
e
u
s
in
g
c
la
s
s
i
c
a
l
m
e
t
h
o
d
s
[
2
2
]
–
[
2
5
]
.
T
y
p
ic
a
l
l
y
,
s
u
c
h
m
o
d
e
l
s
r
e
l
y
o
n
en
co
d
in
g
m
ec
h
an
i
s
m
s
t
h
a
t
tr
a
n
s
f
o
r
m
c
l
a
s
s
i
c
a
l
d
a
t
a
in
t
o
q
u
an
t
u
m
s
t
a
t
e
s
u
s
i
n
g
p
ar
am
e
t
e
r
i
z
ed
q
u
an
t
u
m
f
u
n
c
t
i
o
n
s
,
e
n
s
u
r
in
g
co
m
p
a
t
i
b
il
i
t
y
wi
t
h
b
o
th
q
u
an
t
u
m
h
a
r
d
w
a
r
e
a
n
d
s
i
m
u
la
t
i
o
n
p
l
a
tf
o
r
m
s
[
2
6
]
.
I
n
h
e
a
l
t
h
ca
r
e
ap
p
li
c
a
t
i
o
n
s
,
t
h
e
c
a
p
ab
i
l
i
t
y
t
o
en
co
d
e
h
e
t
er
o
g
e
n
eo
u
s
a
n
d
c
o
m
p
l
ex
c
l
i
n
ic
a
l
d
a
t
a
in
to
e
x
p
r
e
s
s
i
v
e
q
u
a
n
tu
m
s
t
a
t
e
s
is
p
a
r
t
i
cu
l
a
r
ly
v
a
l
u
ab
l
e
,
e
s
p
e
c
ia
l
l
y
i
n
t
i
m
e
-
c
r
i
t
i
ca
l
d
i
a
g
n
o
s
t
i
c
an
d
h
i
g
h
-
r
i
s
k
c
l
in
i
c
a
l
s
c
e
n
ar
i
o
s
[
2
7
]
.
R
e
c
en
t
h
y
b
r
i
d
q
u
a
n
tu
m
–
c
l
a
s
s
i
c
a
l
t
e
ch
n
i
q
u
e
s
,
in
c
lu
d
in
g
X
G
B
o
o
s
t
-
q
u
a
n
tu
m
m
o
d
e
l
s
,
h
a
v
e
s
h
o
w
n
en
c
o
u
r
a
g
in
g
r
e
s
u
l
t
s
i
n
ex
p
lo
r
in
g
l
ar
g
e
f
e
a
t
u
r
e
s
p
a
c
e
s
a
n
d
u
n
co
v
er
i
n
g
s
u
b
t
le
c
o
r
r
e
l
a
t
io
n
s
t
h
a
t
c
o
n
v
e
n
t
io
n
a
l
a
lg
o
r
i
t
h
m
s
m
a
y
f
a
il
t
o
d
e
te
c
t
[
2
8
]
,
[
2
9
]
.
D
e
s
p
i
te
t
h
e
s
e
a
d
v
an
c
e
s
,
ex
i
s
t
i
n
g
Q
M
L
f
r
am
e
w
o
r
k
s
c
o
n
t
i
n
u
e
t
o
f
a
c
e
s
i
g
n
i
f
ic
a
n
t
ch
a
l
l
en
g
e
s
,
s
u
c
h
as
s
u
s
c
e
p
t
i
b
i
l
i
ty
t
o
q
u
an
t
u
m
n
o
i
s
e
,
l
i
m
i
t
ed
q
u
b
i
t
av
a
i
l
ab
i
l
i
t
y
,
s
c
a
l
ab
i
l
i
t
y
c
o
n
s
t
r
a
i
n
t
s
,
a
n
d
h
i
g
h
c
o
m
p
u
t
a
t
i
o
n
a
l
r
e
s
o
u
r
ce
r
e
q
u
i
r
em
e
n
t
s
[
3
0
]
.
A
d
d
r
e
s
s
i
n
g
t
h
e
s
e
ch
a
l
l
e
n
g
e
s
i
s
e
s
s
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I
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I
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Ya
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ti S
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1525
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u
r
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ated
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u
r
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2
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u
r
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2
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ased
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s
tead
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em
p
lo
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s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
6
9
4
I
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t J Po
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lec
&
Dr
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s
t
,
Vo
l.
1
7
,
No
.
2
,
J
u
n
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20
2
6
:
1
5
2
2
-
153
2
1526
s
h
allo
w,
tr
ain
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le
q
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a
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ates,
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k
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iate
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em
e.
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h
is
en
co
d
in
g
is
ac
h
iev
e
d
th
r
o
u
g
h
f
ea
tu
r
e
em
b
ed
d
in
g
cir
c
u
its
th
a
t
tr
an
s
f
o
r
m
n
u
m
er
ical
clin
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f
ea
tu
r
es
in
to
q
u
b
it
r
o
tatio
n
s
o
r
en
tan
g
le
d
s
tates.
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ce
en
co
d
ed
,
th
e
q
u
an
t
u
m
cir
cu
it
ap
p
lies
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s
er
ies
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f
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ar
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eter
ized
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n
itar
y
o
p
er
atio
n
s
wh
o
s
e
v
ar
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n
al
p
ar
am
eter
s
d
eter
m
in
e
th
e
m
o
d
el’
s
class
if
icatio
n
b
o
u
n
d
a
r
y
.
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r
i
n
g
tr
ai
n
in
g
,
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ea
s
u
r
em
en
t
o
u
tco
m
es
f
r
o
m
th
e
q
u
an
tu
m
cir
c
u
it
ar
e
f
ed
b
ac
k
in
to
a
class
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o
p
tim
izer
,
wh
ich
ad
ju
s
ts
th
e
v
ar
iatio
n
al
p
ar
a
m
eter
s
to
m
in
i
m
ize
class
if
icatio
n
er
r
o
r
.
Fig
u
r
e
3
illu
s
tr
ates
th
e
wo
r
k
f
lo
w
o
f
th
e
QVC,
wh
er
e
class
ical
f
ea
tu
r
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ex
tr
ac
te
d
b
y
th
e
I
A
V
n
etwo
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e
f
ir
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t
en
co
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to
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n
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m
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tates
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s
in
g
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am
ar
d
an
d
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ar
am
eter
ized
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o
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ates.
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h
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u
b
its
ar
e
th
e
n
p
r
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ce
s
s
ed
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y
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co
n
s
is
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g
o
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itar
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lo
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s
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n
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e
n
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lin
g
o
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atio
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s
,
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en
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le
th
e
m
o
d
el
to
lear
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m
p
lex
n
o
n
lin
ea
r
r
elatio
n
s
h
ip
s
in
clin
ical
d
ata.
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h
e
v
ar
iatio
n
al
p
ar
am
eter
s
ar
e
o
p
tim
ized
th
r
o
u
g
h
a
h
y
b
r
id
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ical
–
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u
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tu
m
lo
o
p
,
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er
e
m
ea
s
u
r
em
en
t
o
u
tco
m
es
g
u
id
e
th
e
class
ical
o
p
tim
izer
to
u
p
d
ate
cir
c
u
it
p
ar
am
eter
s
.
Fin
ally
,
th
e
m
ea
s
u
r
em
en
t
s
tag
e
co
llap
s
es
th
e
q
u
an
tu
m
s
tate
in
to
class
ical
o
u
tp
u
ts
,
p
r
o
d
u
cin
g
t
h
e
f
in
al
p
r
e
d
ictio
n
class
f
o
r
h
ea
lth
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r
e
an
aly
tics
.
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in
g
v
alu
es
wer
e
h
a
n
d
led
u
s
in
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s
tan
d
ar
d
im
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u
tatio
n
tec
h
n
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es,
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teg
o
r
ical
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ar
iab
les
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e
e
n
co
d
e
d
n
u
m
er
ically
,
a
n
d
th
e
d
ataset
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p
lit in
to
tr
ain
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g
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atio
n
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d
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s
ets f
o
llo
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g
a
c
o
n
s
is
ten
t e
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atio
n
p
r
o
t
o
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l.
Fig
u
r
e
3
.
Ar
c
h
itectu
r
e
o
f
th
e
QVC u
s
ed
f
o
r
th
e
class
if
icatio
n
o
f
lar
g
e
-
s
ca
le
h
ea
lth
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r
e
d
at
a
T
h
e
o
p
tim
izatio
n
o
f
PQC
s
p
lay
s
a
cr
u
cial
r
o
le
in
en
h
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ci
n
g
th
e
class
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n
p
er
f
o
r
m
an
ce
o
f
th
e
p
r
o
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o
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ed
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y
b
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m
o
d
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n
th
e
PQC
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r
am
ewo
r
k
,
ea
ch
tr
ain
a
b
le
u
n
itar
y
b
l
o
ck
c
o
n
tain
s
tu
n
ab
le
r
o
tatio
n
an
g
les
th
at
ac
t
as
lear
n
ab
le
p
ar
am
e
ter
s
s
im
ilar
to
weig
h
ts
in
cl
ass
ical
n
eu
r
al
n
etwo
r
k
s
.
Du
r
in
g
tr
ain
in
g
,
t
h
ese
p
ar
am
eter
s
ar
e
iter
ativ
ely
u
p
d
ated
th
r
o
u
g
h
a
h
y
b
r
id
class
ical
–
q
u
an
tu
m
o
p
tim
izatio
n
l
o
o
p
.
Af
ter
ea
ch
f
o
r
war
d
p
ass
,
th
e
q
u
an
tu
m
cir
cu
it
is
m
ea
s
u
r
ed
to
o
b
tain
ex
p
ec
tatio
n
v
alu
es,
wh
ich
ar
e
u
s
ed
to
co
m
p
u
te
th
e
lo
s
s
f
u
n
ctio
n
.
A
class
ical
o
p
tim
izer
,
s
u
ch
as
g
r
ad
ien
t
d
escen
t
o
r
Ad
am
,
th
en
ad
ju
s
ts
th
e
v
ar
iatio
n
al
p
ar
am
eter
s
to
m
in
im
ize
th
is
lo
s
s
.
T
h
is
p
r
o
c
ess
co
n
tin
u
es
u
n
til
co
n
v
er
g
en
ce
,
en
ab
lin
g
th
e
PQC
to
lear
n
ef
f
ec
tiv
e
d
ec
is
io
n
b
o
u
n
d
ar
ies
with
in
th
e
h
ig
h
-
d
i
m
en
s
io
n
al
Hilb
er
t
s
p
ac
e.
T
h
e
h
y
b
r
id
s
tr
ateg
y
n
o
t
o
n
ly
im
p
r
o
v
es
co
n
v
er
g
en
ce
ef
f
icien
cy
b
u
t
also
m
itig
ates
th
e
im
p
ac
t
o
f
q
u
an
t
u
m
n
o
i
s
e,
m
ak
in
g
th
e
a
p
p
r
o
ac
h
s
u
i
tab
le
f
o
r
NI
SQ
-
er
a
q
u
an
tu
m
d
ev
ices.
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
T
h
e
p
r
o
p
o
s
ed
h
y
b
r
id
f
r
am
e
wo
r
k
was
im
p
lem
en
ted
u
s
in
g
Py
th
o
n
,
w
h
ich
s
er
v
ed
as
th
e
p
r
i
m
ar
y
en
v
ir
o
n
m
en
t
f
o
r
d
ev
elo
p
i
n
g
,
tr
ain
in
g
,
a
n
d
e
v
alu
atin
g
b
o
t
h
t
h
e
d
ee
p
lear
n
in
g
an
d
q
u
an
tu
m
co
m
p
o
n
en
ts
.
T
h
e
ex
p
er
im
en
tal
s
etu
p
u
tili
ze
d
co
m
p
u
tatio
n
al
r
eso
u
r
ce
s
ca
p
ab
le
o
f
s
u
p
p
o
r
tin
g
lar
g
e
-
s
ca
le
d
ata
o
p
er
atio
n
s
,
en
ab
lin
g
ef
f
icien
t
test
in
g
o
f
ad
v
an
ce
d
d
ee
p
lear
n
in
g
m
o
d
els
alo
n
g
s
id
e
q
u
an
t
u
m
s
im
u
latio
n
.
Mo
d
el
p
er
f
o
r
m
an
ce
was
ass
ess
ed
b
y
av
er
ag
i
n
g
e
v
alu
atio
n
m
etr
ics
ac
r
o
s
s
m
u
ltip
le
iter
atio
n
s
to
en
s
u
r
e
s
tab
ilit
y
an
d
r
eliab
ilit
y
.
Fo
r
th
e
I
AV
n
etwo
r
k
,
th
e
Ad
am
o
p
tim
izer
was
e
m
p
lo
y
ed
with
a
n
in
itial
lear
n
i
n
g
r
ate
o
f
0
.
0
0
1
,
a
b
atch
s
ize
o
f
6
4
,
a
n
d
a
to
tal
o
f
3
0
0
tr
ain
in
g
ep
o
ch
s
.
A
d
r
o
p
o
u
t
r
ate
o
f
0
.
5
was
ap
p
lied
to
r
ed
u
ce
o
v
er
f
itti
n
g
,
wh
ile
R
eL
U
ac
tiv
atio
n
was
u
s
ed
in
th
e
h
id
d
en
lay
er
s
an
d
So
f
tm
ax
in
th
e
f
in
al
o
u
tp
u
t
la
y
er
.
T
h
ese
s
ettin
g
s
f
ac
ilit
ated
ef
f
ec
tiv
e
f
ea
tu
r
e
lear
n
in
g
f
r
o
m
h
ig
h
-
d
im
e
n
s
io
n
al
clin
ical
d
ata.
T
h
e
QVC
co
m
p
o
n
en
t
was
im
p
lem
en
ted
u
s
in
g
th
e
Qis
k
it
Aer
b
ac
k
en
d
,
a
n
o
is
y
q
u
a
n
tu
m
s
im
u
lato
r
s
u
p
p
o
r
tin
g
u
p
to
2
0
q
u
b
its
.
C
lass
ical
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Po
w
E
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&
Dr
i Sy
s
t
I
SS
N:
2088
-
8
6
9
4
A
n
en
h
a
n
ce
d
h
yb
r
id
d
ee
p
lea
r
n
in
g
–
q
u
a
n
tu
m
va
r
ia
tio
n
a
l c
l
a
s
s
ifier
f
r
a
mewo
r
k
fo
r
…
(
Ya
d
la
p
ti S
u
r
esh
)
1527
f
ea
tu
r
es
wer
e
em
b
e
d
d
ed
in
to
q
u
an
tu
m
s
tates
th
r
o
u
g
h
an
g
le
en
co
d
in
g
u
s
in
g
r
o
tatio
n
g
ates
(
R
x
,
R
z)
.
T
h
e
v
ar
iatio
n
al
cir
cu
it
ad
o
p
ted
a
h
ar
d
war
e
-
e
f
f
icien
t
an
s
atz
with
a
d
ep
th
o
f
th
r
ee
lay
er
s
,
b
a
lan
cin
g
ex
p
r
ess
iv
e
p
o
wer
an
d
co
m
p
u
tatio
n
al
f
e
asib
ilit
y
.
T
wo
class
ical
o
p
ti
m
izer
s
,
C
OB
YL
A
an
d
Ad
am
,
wer
e
test
ed
f
o
r
v
ar
iatio
n
al
p
ar
a
m
eter
tu
n
in
g
to
co
m
p
ar
e
o
p
tim
izatio
n
e
f
f
e
ctiv
en
ess
.
E
ac
h
q
u
an
tu
m
cir
c
u
it
ex
ec
u
tio
n
was
ev
alu
ated
u
s
in
g
1
0
2
4
m
ea
s
u
r
em
en
t
s
h
o
ts
t
o
en
s
u
r
e
s
tatis
tically
m
ea
n
in
g
f
u
l
o
u
tp
u
t
p
r
o
b
ab
ilit
ies.
T
h
ese
co
m
b
in
ed
co
n
f
ig
u
r
atio
n
s
en
a
b
led
th
e
h
y
b
r
id
I
AV
–
QVC
s
y
s
tem
to
e
f
f
ec
tiv
ely
p
r
o
ce
s
s
lar
g
e
-
s
ca
le
h
ea
lth
ca
r
e
d
ata
wh
ile
ca
p
tu
r
in
g
co
m
p
le
x
n
o
n
-
lin
ea
r
r
elatio
n
s
h
ip
s
.
T
h
e
in
teg
r
atio
n
o
f
d
ee
p
f
ea
t
u
r
e
ex
tr
ac
tio
n
with
q
u
an
tu
m
v
ar
iatio
n
al
o
p
tim
iza
tio
n
d
em
o
n
s
tr
ated
im
p
r
o
v
e
d
r
o
b
u
s
tn
ess
,
ac
cu
r
ac
y
,
an
d
s
ca
lab
ilit
y
co
m
p
ar
ed
with
p
u
r
ely
class
ical
o
r
p
u
r
ely
q
u
an
tu
m
ap
p
r
o
ac
h
es.
T
h
e
ef
f
ec
tiv
e
n
ess
o
f
th
e
p
r
o
p
o
s
ed
h
y
b
r
id
I
AV
–
QVC
f
r
am
ew
o
r
k
was
e
v
alu
ated
u
s
in
g
t
h
e
MI
MI
C
-
III
clin
ical
d
ataset,
wh
ich
co
n
tai
n
s
d
iv
er
s
e,
h
ig
h
-
d
im
en
s
io
n
al
p
atien
t
r
ec
o
r
d
s
s
u
itab
le
f
o
r
la
r
g
e
-
s
ca
le
h
ea
lth
ca
r
e
an
aly
tics
.
T
o
d
em
o
n
s
tr
ate
th
e
im
p
r
o
v
e
m
en
ts
ac
h
iev
ed
b
y
th
e
p
r
o
p
o
s
ed
m
eth
o
d
,
its
p
er
f
o
r
m
an
ce
was
co
m
p
ar
ed
ag
ai
n
s
t
f
iv
e
estab
lis
h
ed
m
o
d
els
co
m
m
o
n
ly
u
s
e
d
in
clin
ical
d
ata
class
if
icatio
n
:
SVM,
QSVM,
QKSVM
,
QV
SVM,
an
d
QVK
SVM.
E
ac
h
m
o
d
el
was
ass
es
s
ed
u
s
in
g
s
tan
d
ar
d
p
er
f
o
r
m
an
c
e
m
etr
ics
,
in
clu
d
in
g
ac
cu
r
ac
y
,
p
r
ec
is
io
n
,
r
ec
all,
a
n
d
F1
-
s
co
r
e.
T
h
e
ev
alu
atio
n
h
i
g
h
lig
h
ts
th
e
s
u
p
er
i
o
r
ity
o
f
th
e
h
y
b
r
i
d
ap
p
r
o
ac
h
i
n
ca
p
tu
r
in
g
co
m
p
lex
m
e
d
ical
p
atter
n
s
an
d
p
r
o
d
u
cin
g
m
o
r
e
r
eliab
le
p
r
ed
ictio
n
s
.
T
h
e
co
m
p
ar
ativ
e
ac
c
u
r
ac
y
r
esu
lts
f
o
r
all
m
o
d
els
ar
e
ill
u
s
tr
ated
in
Fig
u
r
e
4
,
clea
r
ly
s
h
o
win
g
th
e
p
er
f
o
r
m
an
ce
g
ai
n
s
o
b
tain
ed
b
y
th
e
p
r
o
p
o
s
ed
m
eth
o
d
o
lo
g
y
.
Fig
u
r
e
4
.
Acc
u
r
ac
y
a
n
aly
s
is
o
f
th
e
p
r
o
p
o
s
ed
m
o
d
el
co
m
p
ar
e
d
to
ex
is
tin
g
m
o
d
els
T
a
b
le
1
p
r
ese
n
ts
a
c
o
m
p
a
r
ati
v
e
a
n
al
y
s
is
o
f
s
e
v
e
r
a
l
cl
ass
ic
al
a
n
d
q
u
a
n
t
u
m
-
en
h
a
n
ce
d
cl
a
s
s
if
i
ca
t
io
n
m
o
d
els
e
v
a
lu
ate
d
o
n
t
h
e
c
li
n
i
ca
l
d
a
tase
t.
T
h
e
r
es
u
lts
i
n
d
i
c
ate
a
c
o
n
s
is
te
n
t
im
p
r
o
v
em
en
t
i
n
p
e
r
f
o
r
m
a
n
ce
as
m
o
d
els
i
n
c
o
r
p
o
r
at
e
q
u
a
n
t
u
m
co
m
p
o
n
e
n
ts
.
C
l
ass
ic
al
SVM
s
h
o
ws
t
h
e
l
o
w
est
s
c
o
r
es
ac
r
o
s
s
a
ll
m
et
r
i
cs,
w
h
i
le
QSVM,
QK
SVM
,
an
d
QVSV
M
d
e
m
o
n
s
t
r
a
te
g
r
ad
u
al
g
ai
n
s
d
u
e
t
o
t
h
eir
e
n
h
a
n
ce
d
f
e
at
u
r
e
-
m
a
p
p
i
n
g
c
ap
a
b
ili
ties
.
QVKSVM
f
u
r
th
er
im
p
r
o
v
es
ac
c
u
r
a
cy
,
p
r
ec
is
io
n
,
r
ec
a
ll
,
a
n
d
F1
-
s
co
r
e
,
r
e
f
le
cti
n
g
t
h
e
b
e
n
ef
i
ts
o
f
c
o
m
b
in
in
g
v
a
r
i
ati
o
n
al
ci
r
cu
its
w
it
h
k
e
r
n
e
l
-
b
ase
d
q
u
a
n
t
u
m
m
e
th
o
d
s
.
T
h
e
p
r
o
p
o
s
ed
h
y
b
r
i
d
I
AV
–
Q
VC
f
r
a
m
ew
o
r
k
a
c
h
ie
v
es
th
e
h
i
g
h
est
v
al
u
es
i
n
e
v
e
r
y
e
v
al
u
ati
o
n
m
etr
ic
,
c
o
n
f
i
r
m
i
n
g
its
s
u
p
e
r
i
o
r
a
b
ili
ty
to
ex
tr
ac
t
m
ea
n
i
n
g
f
u
l
cli
n
i
ca
l
f
e
at
u
r
es
an
d
e
f
f
ec
ti
v
el
y
m
o
d
e
l
c
o
m
p
le
x
d
ec
is
io
n
b
o
u
n
d
a
r
ie
s
.
T
h
ese
o
u
tc
o
m
es
v
ali
d
a
te
t
h
e
e
f
f
ec
ti
v
e
n
ess
o
f
in
t
eg
r
ati
n
g
d
e
ep
l
ea
r
n
i
n
g
wi
th
q
u
a
n
t
u
m
v
a
r
ia
ti
o
n
al
o
p
t
im
iza
ti
o
n
f
o
r
la
r
g
e
-
s
c
ale
h
e
alt
h
c
ar
e
d
ata
a
n
a
ly
s
is
.
T
ab
le
1
.
C
o
m
p
a
r
ativ
e
p
er
f
o
r
m
an
ce
o
u
tco
m
es o
f
d
if
f
er
en
t c
la
s
s
if
icatio
n
m
o
d
els o
n
th
e
clin
i
ca
l d
ataset
u
s
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I
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2
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1528
T
h
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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&
Dr
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I
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