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ta
in
f
o
r
th
e
i
n
d
u
cta
n
ce
i
m
p
e
d
an
ce
.
No
tice
th
at
th
e
p
o
in
t
B
i
s
alo
n
g
t
h
e
u
n
it c
ir
cle
w
i
th
co
n
s
ta
n
t c
o
n
d
u
cta
n
ce
.
Ad
m
itta
n
ce
i
n
t
h
e
p
o
in
t
B
is
.
Mo
v
in
g
f
r
o
m
p
o
in
t
B
to
p
o
in
t
C
(
i.e
.
,
o
r
ig
in
)
i
s
alo
n
g
a
co
n
s
tan
t
co
n
d
u
cta
n
ce
cir
cle,
an
d
w
e
g
et
ad
m
itta
n
ce
ca
p
ac
it
y
(
o
r
).
C
o
n
s
eq
u
en
tl
y
,
at
th
e
p
o
in
t
C
,
(
o
r
)
an
d
th
e
n
et
w
o
r
k
is
m
atc
h
ed
to
a
lin
e
o
f
5
0
Ω
.
A
t 5
0
0
MH
z,
th
e
v
alu
e
o
f
L
is
(
5
)
an
d
th
e
v
a
lu
e
o
f
C
is
(
6
)
T
h
e
m
atc
h
i
n
g
n
et
w
o
r
k
at
5
0
0
MH
z
is
s
h
o
w
n
i
n
F
i
g
u
r
e
2
(
c
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
5
,
Octo
b
er
2
0
1
8
:
3
4
9
6
–
3
5
0
3
3498
In
co
n
clu
s
io
n
,
t
h
e
ad
d
itio
n
o
f
a
s
er
ies
r
ea
ctan
ce
p
r
o
d
u
ce
s
a
d
is
p
lace
m
e
n
t
alo
n
g
a
co
n
s
ta
n
t
r
esis
tan
ce
cir
cle
in
t
h
e
Z
Y
S
m
ith
ch
ar
t,
an
d
th
e
ad
d
itio
n
o
f
a
p
ar
allel
s
u
s
ce
p
tan
ce
p
r
o
d
u
ce
s
a
d
is
p
lace
m
e
n
t
alo
n
g
a
co
n
s
ta
n
t
co
n
d
u
cta
n
ce
cir
cle
in
th
e
Z
Y
S
m
it
h
ch
ar
t.
T
h
e
ty
p
e
s
o
f
d
is
p
la
ce
m
e
n
ts
ar
e
illu
s
tr
ated
in
t
h
e
F
ig
u
r
e
3
[
5
]
.
T
h
e
d
esig
n
o
f
a
m
atc
h
i
n
g
n
e
t
w
o
r
k
w
it
h
th
e
Z
Y
S
m
i
th
c
h
ar
t
co
n
s
is
t
s
o
f
m
o
v
i
n
g
alo
n
g
a
co
n
s
tan
t
r
esis
ta
n
ce
o
r
co
n
s
ta
n
t
co
n
d
u
ctan
ce
cir
cle
f
r
o
m
o
n
e
i
m
p
ed
an
ce
o
r
ad
m
it
tan
ce
v
al
u
e
to
an
o
th
er
.
E
ac
h
d
is
p
lace
m
e
n
t
alo
n
g
a
cir
cle
w
it
h
co
n
s
ta
n
t
r
esi
s
ta
n
ce
o
r
co
n
s
tan
t
co
n
d
u
cta
n
ce
g
i
v
es
th
e
v
al
u
e
o
f
th
e
ap
p
r
o
p
r
iate
elem
e
n
t [
4
]
-
[
6
]
.
(
b
)
Fig
u
r
e
2
.
Desig
n
o
f
a
m
atch
in
g
n
et
w
o
r
k
L
s
er
ies
C
p
ar
allel
Fig
u
r
e
3
.
E
f
f
ec
t o
f
ad
d
itio
n
o
f
s
er
ies an
d
p
a
r
allel
ele
m
e
n
t
s
in
th
e
Z
Y
S
m
it
h
ch
ar
t [
5
]
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
Mo
d
elin
g
o
f a
Micr
o
w
a
ve
A
mp
lifi
er Op
era
tin
g
a
r
o
u
n
d
1
1
G
Hz fo
r
R
a
d
a
r
…
(
Mo
h
a
mme
d
La
h
s
a
in
i
)
3499
3.
M
O
DE
L
I
N
G
O
F
T
H
E
L
O
W
NO
I
S
E
AM
P
L
I
F
I
E
R
Am
o
n
g
t
h
e
p
r
o
p
o
s
ed
ar
ch
itect
u
r
es
i
n
t
h
e
s
cie
n
ti
f
ic
l
iter
atu
r
e
[
7
]
-
[
1
1
]
,
w
e
h
a
v
e
c
h
o
s
e
n
t
h
e
s
tr
u
ct
u
r
e
r
ep
r
esen
ted
in
t
h
e
Fi
g
u
r
e
4
.
I
t
is
co
m
p
o
s
ed
o
f
an
a
m
p
li
f
icatio
n
b
lo
ck
an
d
i
n
p
u
t
a
n
d
o
u
tp
u
t
i
m
p
ed
an
ce
m
atc
h
in
g
n
et
w
o
r
k
s
.
W
e
h
av
e
m
o
d
eled
o
u
r
a
m
p
li
f
i
er
ac
co
r
d
in
g
to
th
e
f
o
llo
w
in
g
p
r
o
ce
d
u
r
e
u
s
in
g
t
h
e
s
i
m
u
latio
n
s
o
f
t
w
ar
e
o
f
th
e
r
ad
io
f
r
eq
u
e
n
c
y
cir
c
u
its
A
D
S
®
:
a.
C
h
o
ice
o
f
t
h
e
tr
an
s
is
to
r
(
th
e
tr
an
s
i
s
to
r
HE
MT
A
FP
0
2
N2
-
0
0
o
f
Alp
h
a
I
n
d
u
s
tr
ies
®
)
,
b.
T
r
an
s
is
to
r
b
iasi
n
g
,
c.
Dete
r
m
i
n
atio
n
o
f
th
e
i
n
p
u
t a
n
d
o
u
tp
u
t
m
atc
h
i
n
g
cir
c
u
it
s
o
f
t
h
e
a
m
p
li
f
ier
,
d.
Si
m
u
latio
n
o
f
t
h
e
f
i
n
al
cir
c
u
it.
W
e
h
av
e
m
o
d
eled
th
e
i
n
p
u
t
an
d
o
u
tp
u
t
i
m
p
ed
a
n
ce
m
a
tc
h
in
g
cir
c
u
it
s
b
y
L
-
ci
r
cu
its
(
A
p
ar
allel
ca
p
ac
ito
r
an
d
a
s
er
ies in
d
u
cto
r
)
as
s
h
o
w
n
i
n
t
h
e
F
i
g
u
r
e
4
.
Fig
u
r
e
4
.
Gen
er
al
s
tr
u
ct
u
r
e
o
f
th
e
m
o
d
eled
a
m
p
li
f
ier
In
p
u
t
impe
d
a
n
c
e
ma
tc
h
i
n
g
n
e
two
rk
Ou
tp
u
t
imp
e
d
a
n
c
e
ma
tch
i
n
g
n
e
two
rk
Amp
li
fi
c
a
ti
o
n
Bl
o
c
k
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
5
,
Octo
b
er
2
0
1
8
:
3
4
9
6
–
3
5
0
3
3500
4.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
Fin
all
y
,
o
n
ce
t
h
e
v
ar
io
u
s
s
tag
es
o
f
t
h
e
a
m
p
lifie
r
ar
e
r
ea
lize
d
,
w
e
s
i
m
u
late
i
ts
o
v
er
all
p
er
f
o
r
m
a
n
ce
s
,
as
w
ell
as
a
n
u
m
b
er
o
f
ad
d
iti
o
n
al
an
al
y
ze
s
,
s
u
c
h
as
s
tab
ili
t
y
a
n
al
y
s
i
s
it
s
h
o
u
ld
b
e
n
o
ted
,
h
o
w
e
v
er
,
th
at,
f
o
r
th
ese
s
t
u
d
ies
to
b
e
e
f
f
ec
ti
v
e
an
d
i
n
p
ar
ticu
lar
t
h
e
s
tab
ilit
y
a
n
al
y
s
is
o
f
t
h
e
a
m
p
li
f
ier
,
t
h
e
y
s
h
o
u
ld
n
o
t
b
e
co
n
s
tr
u
ed
as
f
i
n
al
an
al
y
ze
s
,
b
u
t
m
u
s
t
b
e
i
m
p
le
m
e
n
ted
an
d
m
o
n
ito
r
ed
th
r
o
u
g
h
o
u
t
t
h
e
d
esig
n
,
in
o
r
d
er
to
co
r
r
ec
t a
p
r
o
b
lem
as so
o
n
as p
o
s
s
ib
le
w
it
h
o
u
t r
es
u
m
in
g
t
h
e
en
tire
d
esig
n
p
r
o
ce
s
s
.
T
h
e
cir
cu
it o
f
th
e
m
o
d
eled
a
m
p
lif
ier
s
h
o
w
s
t
h
e
f
o
llo
w
i
n
g
s
i
m
u
latio
n
r
es
u
lt
s
:
Fo
r
th
e
r
ef
lectio
n
co
e
f
f
icien
ts
,
th
e
Fig
u
r
e
5
an
d
Fig
u
r
e
6
s
h
o
w
t
h
at
S
11
=
-
6
7
.
9
8
5
d
B
an
d
S
22
=
-
6
4
.
6
7
d
B
at
th
e
f
r
eq
u
e
n
c
y
o
f
1
1
GHz
.
T
h
e
in
p
u
t a
n
d
o
u
tp
u
t r
e
f
lectio
n
co
e
f
f
icien
ts
(
S
11
a
n
d
S
22
)
ar
e
v
er
y
s
atis
f
ac
to
r
y
.
Fig
u
r
e
5
.
R
ef
lect
io
n
co
ef
f
icie
n
t
S
11
Fig
u
r
e
6
.
R
ef
lect
io
n
co
ef
f
icie
n
t S
22
Fo
r
th
e
d
ir
ec
t
an
d
i
n
v
er
s
e
tr
an
s
m
i
s
s
io
n
p
ar
a
m
eter
s
,
t
h
e
Fig
u
r
e
7
an
d
Fig
u
r
e
8
s
h
o
w
th
at
S
21
=
2
2
.
8
7
d
B
an
d
S
12
=
-
3
6
.
8
2
d
B
at
th
e
s
a
m
e
f
r
eq
u
en
c
y
(
1
1
GHz
)
.
T
h
ese
co
ef
f
icien
ts
ar
e
also
s
ati
s
f
ac
to
r
y
.
T
h
e
cir
cu
it
d
es
ig
n
r
eq
u
ir
es
ta
k
in
g
in
to
co
n
s
id
er
atio
n
t
h
e
f
a
cto
r
o
f
s
tab
il
it
y
.
T
h
e
ai
m
o
b
j
e
ctiv
e
is
to
av
o
id
a
m
p
li
f
ier
o
s
cillatio
n
w
h
en
w
e
tr
y
to
o
p
ti
m
ize
t
h
e
g
ai
n
.
T
h
e
q
u
ad
r
u
p
o
le
is
u
n
co
n
d
itio
n
all
y
s
tab
le
if
:
t
h
e
R
o
llet
f
ac
to
r
K
is
s
u
p
er
io
r
to
1
an
d
t
h
e
f
ac
to
r
is
in
f
er
io
r
to
1
[
1
1
]
,
[
1
2
]
.
W
ith
|
|
|
|
|
|
|
|
(
7
)
An
d
|
|
|
|
(
8
)
An
o
th
er
s
tab
ilit
y
co
ef
f
icie
n
t
i
s
d
ef
i
n
ed
b
y
t
h
e
e
x
p
r
e
s
s
io
n
(
9
)
,
if
th
e
cir
cu
it
is
u
n
co
n
d
itio
n
all
y
s
tab
le
[
11
]:
|
|
|
|
|
|
(
9
)
T
h
e
F
ig
u
r
e
9
s
h
o
w
s
t
h
at
th
e
co
ef
f
icie
n
t
o
f
s
tab
ili
t
y
(
µ)
at
th
e
in
p
u
t
an
d
at
th
e
o
u
tp
u
t
(
Mu
1
an
d
Mu
P
r
i
m
e1
)
is
s
tr
ictl
y
s
u
p
er
io
r
to
1
,
th
is
s
h
o
w
s
th
a
t
t
h
e
cir
c
u
it
h
as
n
o
o
s
cillatio
n
s
;
it
i
s
t
h
er
e
f
o
r
e
u
n
co
n
d
itio
n
all
y
s
tab
le.
Fo
r
th
e
n
o
is
e
f
i
g
u
r
e:
Si
g
n
als
a
n
d
n
o
i
s
es
ap
p
lied
to
t
h
e
i
n
p
u
t
p
o
r
t
o
f
a
m
p
li
f
ier
w
er
e
a
m
p
li
f
i
ed
b
y
th
e
g
ain
o
f
th
e
a
m
p
li
f
ier
an
d
n
o
i
s
e
o
f
a
m
p
li
f
ier
it
s
el
f
is
ad
d
ed
to
th
e
o
u
tp
u
t.
T
h
er
ef
o
r
e,
SN
R
(
Sig
n
al
to
No
is
e
R
atio
)
o
f
t
h
e
o
u
tp
u
t
p
o
r
t
is
s
m
aller
th
a
n
th
a
t
o
f
t
h
e
i
n
p
u
t
p
o
r
t.
T
h
e
r
atio
o
f
SNR
o
f
in
p
u
t
p
o
r
t
to
th
at
o
f
o
u
tp
u
t
p
o
r
t
is
r
ef
er
r
ed
to
as
n
o
is
e
f
ig
u
r
e
a
n
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S
[1
]
Ha
m
a
izia
,
“
Co
n
c
e
p
ti
o
n
d
'u
n
a
mp
l
if
ica
teu
r fa
ib
le b
r
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L
NA
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a
se
d
'u
n
tra
n
sist
o
r à
e
ff
e
t
d
e
c
h
a
mp
à
h
é
tér
o
jo
n
c
t
io
n
p
HEM
T
”,
T
h
è
se
d
e
d
o
c
to
ra
t,
Dé
p
a
rte
m
e
n
t
g
é
n
ie éle
c
tri
q
u
e
,
Un
iv
e
rsité M
o
h
a
m
e
d
Kh
id
e
r
–
Bisk
ra
,
F
e
b
1
7
,
2
0
1
1
.
[2
]
V
e
n
d
e
li
n
,
G
.
D.,
e
t
a
l
.,
“
M
icro
w
a
v
e
Circu
it
De
sig
n
u
sin
g
L
in
e
a
r
a
n
d
No
n
li
n
e
a
r
T
e
c
h
n
iq
u
e
s
(2
n
d
e
d
it
i
o
n
e
d
.
)”
,
c
a
n
a
d
a
:
Jo
h
n
-
W
il
e
y
&
S
o
n
s,
2
0
0
5
.
[3
]
L
a
h
sa
in
i,
M
.
,
e
t
a
l
.,
“
De
sig
n
o
f
Bro
a
d
b
a
n
d
L
o
w
No
ise
Am
p
li
f
ie
r
b
a
se
d
o
n
HE
M
T
T
ra
n
sisto
rs
i
n
t
h
e
X
-
b
a
n
d
”
,
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
E
n
g
in
e
e
rin
g
a
n
d
T
e
c
h
n
o
l
o
g
y
(
IJ
ET
),
v
o
l
.
5
,
n
o
.
1
,
p
p
.
4
6
8
-
4
7
6
,
2
0
1
3
.
[4
]
P
o
z
a
r,
D.
M
.
,
“
M
icr
o
w
a
v
e
En
g
in
e
e
rin
g
(3
e
d
.
)”
,
Ne
w
Yo
rk
:
Jo
h
n
-
W
il
e
y
&
S
o
n
s,
2
0
0
5
.
[5
]
G
o
n
sa
lez
,
G
.
,
“
M
icro
w
a
v
e
T
ra
n
sisto
r
A
m
p
li
f
iers
,
A
n
a
l
y
sis
a
n
d
De
sig
n
(2
e
é
d
it
io
n
e
d
.
)”
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P
re
n
ti
c
e
Ha
ll
,
A
u
g
u
st
3
0
,
1
9
9
6
.
[6
]
Ra
z
a
v
i,
B.
, “
RF
M
icro
e
lec
tro
n
ics
(2
n
d
e
d
it
i
o
n
e
d
.
)”
,
(
P
.
Ha
ll
,
Ed
.
)
,
2
0
1
1
.
[7
]
L
a
h
sa
in
i,
M
.
,
e
t
a
l
.,
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M
o
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li
n
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o
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a
L
o
w
No
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Am
p
li
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ier
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se
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n
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d
[0
.
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8
]
G
Hz
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2
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1
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2
6
2
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1
2
.
[8
]
F
ra
n
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o
is,
d
.
D.,
a
n
d
Ol
iv
ier,
R.
,
“
El
e
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tro
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i
q
u
e
A
p
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u
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Ha
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tes
Fré
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Prin
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.
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1
1
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2
0
0
8
.
[9
]
V
e
n
d
e
li
n
,
G
.
D.,
e
t
a
l
.
,
“
M
icr
o
wa
v
e
Circ
u
it
De
sig
n
u
sin
g
L
i
n
e
a
r
a
n
d
N
o
n
li
n
e
a
r
T
e
c
h
n
iq
u
e
s
(2
n
d
e
d
it
io
n
e
d
.
)”
,
c
a
n
a
d
a
:
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h
n
-
W
il
e
y
&
S
o
n
s,
2
0
0
5
.
[1
0
]
L
a
h
sa
in
i,
M
.
,
a
n
d
Zen
k
o
u
a
r,
L
.
,
“
In
terd
ig
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a
l
F
il
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f
o
r
Bro
a
d
b
a
n
d
Im
p
e
d
a
n
c
e
M
a
tch
in
g
o
f
M
icro
w
a
v
e
Am
p
li
f
iers
”
,
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
n
Co
mm
u
n
ica
ti
o
n
s
An
ten
n
a
a
n
d
Pro
p
a
g
a
ti
o
n
(
IRE
CAP
)
,
v
o
l.
5
,
n
o
.
1
,
pp.
21
-
27
,
F
e
b
2
0
1
5
.
[1
1
]
T
o
u
lali,
I.
,
e
t
a
l
.
,
“
De
sig
n
o
f
a
Lo
w
No
ise
Am
p
li
f
ier
u
sin
g
th
e
Qu
a
rter
wa
v
e
T
ra
n
s
f
o
r
m
e
rs
m
a
tch
in
g
T
e
c
h
n
iq
u
e
in
th
e
F
re
q
u
e
n
c
y
b
a
n
d
[
9
-
1
3
]
G
Hz
”
,
In
ter
n
a
ti
o
n
a
l
J
o
u
r
n
a
l
o
n
C
o
mm
u
n
ica
ti
o
n
s
An
ten
n
a
a
n
d
Pro
p
a
g
a
ti
o
n
(
IRE
CAP
)
,
v
o
l.
5
,
n
o
.
4
,
pp.
2
4
8
-
2
5
5
,
A
u
g
u
st 2
0
1
5
.
[1
2
]
Am
in
,
A
.
A
.
,
e
t
a
l
.,
“
De
sig
n
a
n
d
P
e
rf
o
rm
a
n
c
e
A
n
a
l
y
sis
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f
1
.
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z
L
o
w
No
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Am
p
li
f
i
e
r
f
o
r
W
i
re
les
s
Re
c
e
iv
e
r
A
p
p
li
c
a
ti
o
n
”
,
I
n
d
o
n
e
sia
n
J
o
u
rn
a
l
o
f
El
e
c
trica
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E
n
g
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n
e
e
rin
g
a
n
d
Co
mp
u
ter
S
c
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c
e
,
v
o
l.
6
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n
o
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3
,
p
p
.
6
5
6
-
6
6
2
,
Ju
n
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2
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1
7
.
[1
3
]
Ib
ra
h
im
,
A.
B.
,
a
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Za
m
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ri
M
o
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