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4
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ib
ilit
y
o
f
r
e
-
in
f
ec
tio
n
:
i)
e
f
f
ec
t
o
f
s
o
cial
d
is
ta
n
ci
n
g
:
t
h
e
n
e
g
ati
v
e
tr
en
d
o
f
t
h
e
GDP
,
lo
s
s
o
f
J
o
b
s
,
ch
an
g
es
e
n
v
ir
o
n
m
en
t
o
f
s
o
c
iet
y
,
an
d
s
co
p
e
o
f
en
ter
tain
m
e
n
t
co
llecti
v
el
y
h
a
s
alr
ea
d
y
i
m
p
ac
t
ed
th
e
s
o
cio
-
ec
o
n
o
m
ic
b
alan
ce
.
T
h
e
im
p
ac
t
o
f
p
r
o
lo
n
g
ed
s
o
cial
d
is
tan
ci
n
g
w
i
ll
b
e
in
ca
lcu
lab
le
f
r
o
m
o
th
er
ill
ef
f
ec
t
o
n
t
h
e
p
h
y
s
ical,
m
en
ta
l
an
d
ec
o
n
o
m
ic
h
ea
lt
h
o
f
t
h
e
m
an
k
i
n
d
[
7
]
-
[
1
0
]
;
ii)
r
atio
n
ale
o
f
th
e
s
o
l
u
tio
n
s
ap
p
r
o
ac
h
:
th
e
u
s
e
o
f
s
m
ar
t
cit
y
tec
h
n
o
lo
g
y
e
s
p
ec
iall
y
m
o
b
il
e
cr
o
w
d
s
e
n
s
i
n
g
co
u
ld
y
ield
ed
a
f
ea
s
ib
le
s
o
l
u
tio
n
to
m
a
k
e
t
h
e
s
u
cc
es
s
o
f
th
e
q
u
ar
an
tin
e
th
a
t
d
o
es
n
o
t
i
m
p
ac
t
o
n
th
e
d
ec
lin
e
o
f
t
h
e
ec
o
n
o
m
y
.
T
h
e
tech
n
o
lo
g
y
n
a
m
e
l
y
m
o
b
ile
cr
o
w
d
s
e
n
s
i
n
g
w
o
r
k
s
o
n
t
h
e
d
ata
co
llected
f
r
o
m
t
h
e
m
as
s
iv
e
n
u
m
b
er
s
e
n
s
o
r
d
ev
ices.
A
t
p
r
esen
t,
th
e
m
ec
h
a
n
is
m
o
f
th
e
s
o
cial
d
is
ta
n
cin
g
is
ca
r
r
ied
o
u
t
in
d
iv
id
u
al
l
y
b
y
u
s
i
n
g
Ar
o
g
y
a
Set
u
m
o
b
ile
ap
p
licatio
n
.
T
h
e
ap
p
li
ca
tio
n
h
as
ce
r
tain
ad
v
a
n
ta
g
es
i.e
:
i)
it
ca
n
p
er
f
o
r
m
li
v
e
d
e
tectio
n
o
f
a
n
y
u
s
er
co
m
in
g
in
co
n
tact
w
it
h
th
e
in
f
ec
ted
u
s
er
u
s
i
n
g
B
lu
eto
o
th
,
ii)
it
g
et
u
p
d
ates
f
r
o
m
n
atio
n
al
h
ea
lth
ca
r
e
au
th
o
r
izes
w
i
th
r
e
g
io
n
s
p
ec
i
f
i
ca
tio
n
.
Ho
w
e
v
er
,
it
h
a
s
ce
r
tain
p
itf
al
ls
to
o
v
iz:
i)
it
d
o
es
no
t
o
f
f
er
li
v
e
tr
ac
k
i
n
g
o
f
t
h
e
u
s
e
r
o
v
er
m
ap
alt
h
o
u
g
h
it
u
s
es
g
lo
b
al
p
o
s
itio
n
i
n
g
s
y
s
te
m
(
GP
S
)
,
i
t
s
h
o
w
s
b
y
d
is
tan
ce
a
n
d
n
o
t
w
i
th
r
esp
ec
t to
ti
m
e;
i
i)
t
h
e
o
u
tco
m
e
o
f
i
n
f
ec
ted
p
er
s
o
n
k
ee
p
s
is
u
n
ce
r
tain
as
it c
o
m
p
letel
y
d
ep
en
d
s
u
p
o
n
t
h
e
r
ep
o
r
t
u
p
lo
ad
ed
b
y
h
ea
lt
h
o
f
f
ic
ial,
w
h
er
e
th
er
e
ar
e
also
ca
s
es
o
f
n
eg
ati
v
e
id
en
ti
f
icatio
n
;
iii)
it
d
o
es
n
o
t
ca
r
r
y
o
u
t
an
y
p
r
ed
ictiv
e
o
p
er
atio
n
;
an
d
iv
)
it
d
o
es
no
t
o
f
f
er
an
y
cu
s
to
m
ized
s
o
lu
tio
n
o
f
s
o
cial
d
is
tan
ce
r
ath
er
it
s
h
ar
e
s
s
i
m
ilar
te
m
p
late
o
f
i
n
f
o
r
m
ati
o
n
to
all
u
s
e
r
s
.
T
h
er
ef
o
r
e,
t
h
e
p
r
o
p
o
s
ed
s
y
s
te
m
d
e
v
elo
p
s
a
n
o
v
e
l
f
r
a
m
e
w
o
r
k
w
h
ic
h
is
m
ea
n
t
f
o
r
co
n
tr
ib
u
tin
g
th
e
s
o
cial
d
is
ta
n
ci
n
g
b
y
t
h
e
u
s
er
b
y
tr
ac
k
i
n
g
m
o
r
e
in
f
o
r
m
a
tio
n
d
etails
liv
e
o
n
th
eir
h
an
d
h
eld
d
ev
ice.
T
h
e
o
r
g
an
iza
tio
n
o
f
t
h
e
m
a
n
u
s
cr
ip
t
i
s
as
f
o
llo
w
:
s
ec
tio
n
2
d
is
c
u
s
s
e
s
ab
o
u
t
t
h
e
e
x
i
s
ti
n
g
ap
p
r
o
ac
h
es
f
o
l
l
o
w
e
d
b
y
d
i
s
c
u
s
s
i
o
n
o
f
i
d
e
n
t
i
f
i
e
d
r
e
s
e
a
r
c
h
p
r
o
b
l
e
m
i
n
s
e
c
t
i
o
n
3
.
P
r
o
p
o
s
e
d
r
e
s
e
a
r
c
h
m
e
t
h
o
d
o
l
o
g
y
i
s
d
i
s
c
u
s
s
e
d
i
n
s
e
c
t
i
o
n
4
w
h
i
l
e
s
y
s
t
e
m
d
e
s
i
g
n
i
s
b
r
i
e
f
e
d
i
n
s
e
c
t
i
o
n
5
a
n
d
r
e
s
u
l
t
d
i
s
c
u
s
s
i
o
n
i
n
s
e
c
t
i
o
n
6
.
S
u
m
m
a
r
y
o
f
th
e
p
a
p
e
r
i
s
p
r
o
v
i
d
e
d
i
n
s
e
c
t
i
o
n
7.
2.
RE
L
AT
E
D
WO
RK
A
t
p
r
ese
n
t,
t
h
er
e
is
ce
r
tai
n
att
e
m
p
t
o
f
r
esear
c
h
b
ein
g
ca
r
r
ied
o
u
t
to
w
ar
d
s
s
o
cial
d
is
ta
n
ci
n
g
.
T
h
e
w
o
r
k
o
f
Ma
s
o
n
et
a
l.
[
1
1
]
h
as
u
s
ed
a
v
ir
tu
al
r
ea
lit
y
tec
h
n
o
lo
g
y
in
o
r
d
er
to
f
r
am
e
u
p
a
n
e
w
co
n
ce
p
t
o
f
s
o
cial
d
is
tan
ci
n
g
u
s
in
g
A
I
.
A
d
o
p
tio
n
o
f
th
e
W
i
-
Fi h
a
s
b
ee
n
r
ep
o
r
ted
to
w
ar
d
s
aler
tin
g
th
e
i
n
d
i
v
id
u
al
in
tr
an
s
p
o
r
tatio
n
s
y
s
te
m
f
o
r
en
h
a
n
ci
n
g
s
o
cial
d
is
tan
c
in
g
co
n
ce
p
t
as
s
ee
n
i
n
wo
r
k
o
f
Or
an
s
ir
i
k
u
l
a
n
d
T
ak
ad
a
[
1
2
]
.
W
i
b
er
g
[
1
3
]
h
av
e
ca
r
r
ied
o
u
t
an
in
v
est
ig
at
io
n
to
w
ar
d
s
b
o
th
s
o
cial
an
d
p
h
y
s
ical
d
is
ta
n
ci
n
g
.
T
h
e
w
o
r
k
o
f
Miln
e
et
a
l.
[
1
4
]
h
as
u
s
ed
a
s
to
c
h
ast
ic
m
o
d
el
t
o
w
ar
d
s
m
ai
n
tai
n
in
g
s
o
cial
d
i
s
tan
ce
w
h
ile
b
o
ar
d
in
g
tr
a
n
s
p
o
r
tatio
n
s
y
s
te
m
.
T
h
e
w
o
r
k
ca
r
r
ied
o
u
t
b
y
N
g
u
y
e
n
et
a
l.
[
1
5
]
h
av
e
d
is
cu
s
s
ed
ab
o
u
t
v
ar
io
u
s
en
ab
li
n
g
tec
h
n
o
lo
g
ies
to
w
ar
d
s
s
o
cia
l
d
is
tan
ci
n
g
.
T
h
e
w
o
r
k
r
ep
o
r
ted
b
y
C
r
is
ta
n
i
et
a
l.
[
1
6
]
h
as
ca
r
r
ied
o
u
t
a
s
tu
d
y
to
w
ar
d
s
s
o
ci
al
d
is
tan
ci
n
g
u
s
in
g
v
is
u
al
ap
p
r
o
ac
h
,
w
h
ic
h
i
s
a
n
o
n
-
i
n
v
a
s
i
v
e
a
n
al
y
s
is
ap
p
r
o
a
ch
.
I
m
p
o
r
tan
ce
o
f
m
o
b
ile
m
ed
ia
to
w
ar
d
s
s
o
cia
l
d
is
tan
ci
n
g
is
i
n
v
e
s
ti
g
ated
b
y
B
r
an
d
tzae
g
[
1
7
]
.
T
h
e
w
o
r
k
ca
r
r
ied
o
u
t
b
y
P
ej
o
an
d
B
iczo
k
[
1
8
]
h
as
i
m
p
le
m
en
ted
g
a
m
e
t
h
eo
r
y
in
o
r
d
er
to
f
o
r
m
u
late
b
etter
d
ec
is
io
n
m
a
k
i
n
g
in
w
ea
r
in
g
m
a
s
k
as
w
e
ll
as
s
o
cia
l
d
is
tan
ci
n
g
.
T
h
e
w
o
r
k
ca
r
r
ied
o
u
t
b
y
P
u
n
n
et
a
l.
[
1
9
]
h
av
e
d
ev
elo
p
ed
a
s
ch
e
m
e
f
o
r
ass
e
s
s
i
n
g
s
o
cial
d
is
ta
n
cin
g
u
s
i
n
g
o
b
j
ec
t d
etec
tio
n
an
d
tr
ac
k
in
g
co
n
ce
p
t.
T
h
e
w
o
r
k
ca
r
r
ie
d
o
u
t b
y
R
ez
ae
i
an
d
A
za
r
m
i [
2
0
]
h
av
e
d
ev
e
lo
p
ed
a
f
r
a
m
e
w
o
r
k
w
h
ic
h
ca
n
p
er
f
o
r
m
as
s
ess
m
e
n
t
o
f
r
is
k
as
s
o
cia
ted
w
it
h
C
OVI
D
-
1
9
u
s
in
g
a
n
e
w
id
ea
o
f
s
o
cial
d
is
tan
ci
n
g
.
A
clo
s
er
lo
o
k
i
n
to
v
ar
io
u
s
atte
m
p
ted
ap
p
r
o
ac
h
o
f
s
o
cial
d
i
s
tan
c
in
g
s
h
o
w
s
t
h
e
a
d
o
p
tio
n
o
f
ar
ti
f
i
ci
al
in
telli
g
e
n
ce
[
2
1
]
-
[
2
4
]
,
m
ac
h
i
n
e
lear
n
i
n
g
[
2
5
]
,
[
2
6
]
,
g
a
m
e
th
eo
r
y
[
2
7
]
,
[
2
8
]
,
d
if
f
er
en
t
v
ar
ian
t
s
o
f
n
eu
r
a
l
n
et
w
o
r
k
[
2
9
]
,
[
3
0
]
w
h
e
n
it c
o
m
es to
co
n
tr
o
lli
n
g
t
h
e
p
an
d
e
m
ic
s
itu
a
tio
n
co
n
tr
o
l.
3.
P
RO
B
L
E
M
I
DE
NT
I
F
I
CA
T
I
O
N
I
t
ca
n
b
e
s
ee
n
t
h
at
th
er
e
ar
e
ce
r
tain
d
ed
icate
d
atte
m
p
t
s
to
w
ar
d
s
w
o
r
k
i
n
g
o
n
s
o
cial
d
is
tan
ci
n
g
;
h
o
w
ev
er
,
th
er
e
ar
e
ce
r
tain
p
r
o
b
lem
s
ass
o
ciate
d
w
it
h
it
v
iz
:
i)
ex
is
ti
n
g
ap
p
r
o
ac
h
es
o
f
s
o
cial
d
is
tan
ci
n
g
i
s
b
asicall
y
ca
r
r
ied
o
u
t
co
n
s
id
er
i
n
g
s
tatic
s
et
o
f
d
ata
w
h
ic
h
is
l
ess
p
r
ac
tical;
ii)
ad
o
p
tio
n
o
f
v
ar
io
u
s
s
o
p
h
i
s
ticated
o
p
er
atio
n
in
o
r
d
er
to
p
er
f
o
r
m
th
e
id
e
n
ti
f
icatio
n
o
f
r
is
k
;
iii)
h
i
g
h
er
d
ep
en
d
e
n
c
y
o
f
t
h
e
p
r
e
-
d
ef
i
n
ed
r
esear
ch
en
v
ir
o
n
m
e
n
t
i
n
h
i
g
h
l
y
co
n
tr
o
l
ler
m
an
n
er
,
w
h
ich
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tical.
A
p
ar
t
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is
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icate
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ied
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lear
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ap
p
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;
h
o
w
e
v
er
th
e
y
h
a
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b
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as
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v
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g
a
t
e
d
w
i
t
h
r
e
s
p
e
c
t
t
o
C
O
V
I
D
-
1
9
c
a
s
e
w
i
t
h
h
i
g
h
e
r
t
h
r
e
a
t
.
H
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n
c
e
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ch
p
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lem
s
.
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.
12
,
No
.
1
,
Feb
r
u
ar
y
20
22
:
5
9
6
-
604
598
4.
P
RO
P
O
SE
D
SO
L
UT
I
O
N
T
h
e
p
r
o
p
o
s
ed
s
tu
d
y
ai
m
s
f
o
r
d
ev
e
lo
p
in
g
a
n
o
v
e
l
an
d
s
i
m
p
lif
ied
s
ch
e
m
e
to
w
ar
d
s
co
n
tr
o
llin
g
t
h
e
p
an
d
e
m
ic
s
it
u
atio
n
o
f
C
O
VI
D
-
1
9
b
y
o
f
f
er
i
n
g
a
p
r
ed
ictiv
e
o
u
tco
m
e
o
f
th
e
t
h
r
ea
t
to
th
e
u
s
er
.
T
h
e
p
r
o
p
o
s
ed
s
y
s
te
m
i
s
i
m
p
le
m
e
n
ted
as
a
co
m
b
i
n
atio
n
o
f
th
e
h
a
n
d
h
e
ld
d
ev
ice
w
h
er
e
th
e
f
r
a
m
e
w
o
r
k
f
o
r
ag
g
r
e
g
atio
n
t
h
e
co
n
tact
i
n
f
o
r
m
atio
n
is
ca
r
r
ied
o
u
t
a
n
d
clo
u
d
s
er
v
er
w
h
er
e
t
h
e
p
r
ed
ictiv
e
o
p
er
atio
n
i
s
ca
r
r
ied
o
u
t
to
let
k
n
o
w
th
e
u
s
er
ab
o
u
t
th
eir
p
er
s
o
n
al
lev
el
o
f
t
h
r
ea
t.
T
h
e
s
tu
d
y
a
r
ea
ch
o
s
en
f
o
r
th
is
r
e
s
ea
r
ch
p
r
o
j
ec
t
w
ill
cit
y
o
f
B
an
g
alo
r
e,
w
h
er
e
f
o
r
t
h
e
m
o
b
i
le
cr
o
w
d
s
e
n
s
in
g
t
h
e
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a
w
d
ata
g
en
er
ated
f
r
o
m
t
h
e
ac
ce
ler
o
m
eter
,
GP
S,
n
et
w
o
r
k
co
n
n
ec
ti
v
it
y
,
ca
m
er
a,
o
r
m
ic
r
o
p
h
o
n
e
alo
n
g
w
it
h
t
h
e
s
o
ci
al
n
et
w
o
r
k
tr
ait
s
,
w
ill
b
e
co
n
s
id
er
ed
as
th
e
s
e
h
ar
d
w
ar
e
s
e
n
s
o
r
s
ar
e
e
m
b
ed
d
ed
in
m
o
b
ile
d
ev
ices.
T
h
e
in
s
i
g
h
ts
e
x
tr
ac
ted
f
r
o
m
th
e
s
e
d
ata
an
al
y
s
is
m
a
y
in
cl
u
d
e
th
e
f
o
llo
w
in
g
s
:
L
i
m
itatio
n
s
o
f
th
e
f
r
ee
d
o
m
o
f
m
o
v
e
m
e
n
t o
f
p
er
s
o
n
s
Op
en
in
g
to
th
e
p
u
b
lic
u
n
a
u
th
o
r
is
ed
p
r
em
is
e
s
,
estab
li
s
h
m
e
n
t
an
d
ar
ea
s
o
f
w
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r
s
h
ip
ag
g
lo
m
er
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n
s
,
a
m
o
n
g
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th
er
s
I
d
en
tif
icat
io
n
o
f
g
r
o
u
p
s
an
d
c
o
m
m
u
n
itie
s
th
at
ar
e
v
u
l
n
er
ab
le
o
r
esp
ec
ially
s
en
s
iti
v
e
to
th
e
p
an
d
e
m
ic
I
d
en
tif
icat
io
n
o
f
s
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o
r
tag
e
s
an
d
s
u
p
p
l
y
o
f
b
asic r
eso
u
r
ce
s
P
r
ed
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n
o
f
ar
ea
s
o
f
p
o
ten
t
i
al
co
n
tag
io
n
f
o
r
r
ea
s
o
n
s
o
f
la
r
g
e
in
f
l
u
x
,
p
r
esen
ce
o
f
d
iag
n
o
s
ed
ca
s
es,
an
d
lack
o
f
s
o
cio
-
h
ea
l
th
m
ea
s
u
r
es
C
r
e
a
t
i
o
n
a
n
d
p
r
o
v
i
s
i
o
n
o
f
a
r
e
a
l
-
t
i
m
e
r
e
p
o
r
t
o
f
o
b
s
e
r
v
a
t
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o
n
s
a
n
d
s
u
s
p
i
c
i
o
n
s
o
f
C
O
V
I
D
-
1
9
b
y
t
h
e
p
o
p
u
latio
n
Facilitate
ac
ce
s
s
to
s
o
cial
n
et
w
o
r
k
d
ata
o
n
t
h
e
ep
id
e
m
ic
f
o
r
th
e
s
c
ien
ti
f
ic
co
m
m
u
n
i
t
y
to
s
u
p
p
o
r
t
ar
tif
icia
l
in
telli
g
e
n
ce
,
s
i
m
u
latio
n
a
n
d
ep
id
e
m
io
lo
g
y
.
T
h
e
p
o
s
s
ib
le
d
ig
ital
d
ata
o
f
a
n
i
n
d
iv
id
u
als
ca
n
b
e
co
llected
f
r
o
m
th
e
s
e
n
s
o
r
s
o
f
h
is
s
m
ar
t
’
s
p
h
o
n
e
s
,
w
ea
r
ab
les,
s
o
cial
m
ed
ial
p
latf
o
r
m
s
th
r
o
u
g
h
th
e
o
p
en
ar
tific
i
al
in
telli
g
e
n
ce
(
A
I
)
.
T
h
e
s
y
s
te
m
s
h
all
ag
g
r
eg
a
tes
th
e
d
ata
an
d
p
u
s
h
i
t
i
n
to
t
h
e
a
n
al
y
tical
f
o
r
m
a
t
to
t
h
e
an
al
y
ti
cs
u
n
i
t
w
h
er
e
v
ar
io
u
s
an
a
l
y
t
ic
s
to
b
e
p
er
f
o
r
m
ed
to
g
et
v
ar
io
u
s
in
s
ig
h
ts
a
n
d
th
o
s
e
in
s
i
g
h
t
s
s
h
o
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ld
b
e
u
p
d
ate
t
o
th
e
m
o
n
ito
r
in
g
o
r
co
n
tr
o
llin
g
a
u
th
o
r
itie
s
an
d
f
i
n
all
y
p
u
b
li
s
h
it
in
to
th
e
s
o
ci
al
s
ite
s
alo
n
g
w
it
h
t
h
e
r
ea
l
-
ti
m
e
alar
m
s
to
t
h
e
r
esp
ec
ti
v
e
u
s
er
s
.
T
h
e
lo
ca
tio
n
o
f
th
e
s
t
u
d
y
is
B
an
g
alo
r
e,
Kar
n
at
ak
a,
I
n
d
ia
.
T
h
e
an
ticip
ated
o
u
t
co
m
e
o
f
s
tu
d
y
is
a
u
n
if
ied
d
esi
g
n
ar
c
h
itect
u
r
e
f
o
r
th
e
r
ea
lizatio
n
o
f
t
h
e
ap
p
licatio
n
w
h
ic
h
ca
n
b
e
i
m
p
le
m
e
n
ted
f
ir
s
t
as
a
p
r
o
to
ty
p
e
a
n
d
later
in
r
ea
l
ti
m
e
s
ce
n
ar
io
.
T
h
er
ef
o
r
e,
th
e
s
co
p
e
o
f
th
is
r
esear
ch
i
s
to
ar
r
iv
e
a
w
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ll
-
d
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cu
m
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n
ted
r
ea
lizab
le
ar
ch
itectu
r
e
o
f
a
n
ap
p
licatio
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to
en
f
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ce
s
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d
is
tan
ce
in
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ea
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ti
m
e
s
ce
n
ar
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.
T
h
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p
r
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p
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ed
s
tu
d
y
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ls
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o
f
f
er
s
a
r
elev
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ce
to
f
u
tu
r
e
s
tr
ateg
ies.
T
h
e
ar
ch
i
tec
tu
r
e
w
ill
a
w
ell
-
cr
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f
ted
b
lu
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p
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f
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cr
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s
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ata
s
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ased
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c
in
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m
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h
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m
w
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to
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ized
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Fi
g
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Fig
u
r
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A
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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t J
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lec
&
C
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m
p
E
n
g
I
SS
N:
2088
-
8708
A
n
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F
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599
5.
P
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D
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y
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Fi
g
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2
w
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e
C
OVI
D
-
1
9
p
o
s
itiv
e
ca
s
e.
He
n
ce
,
th
e
p
r
o
p
o
s
ed
s
y
s
te
m
co
m
p
u
tes
p
r
o
b
ab
ilit
y
o
f
v
ar
iatio
n
i
n
th
e
id
en
ti
f
icatio
n
p
r
o
ce
s
s
co
n
s
id
er
in
g
co
n
tact
p
e
r
io
d
an
d
it is
m
ath
e
m
at
icall
y
e
x
p
r
ess
ed
as
i
n
(
3
)
.
P
r
o
b
dur
(
p
er
)
=Δe
-
c2per
(
3
)
I
n
th
e
m
at
h
e
m
atica
l
e
x
p
r
ess
io
n
(
3
)
,
th
e
v
ar
iab
le
c2
an
d
dur
r
ep
r
esen
ts
th
e
p
o
s
itiv
e
n
et
w
o
r
k
co
ef
f
icie
n
t
a
n
d
p
er
io
d
w
h
e
n
t
w
o
u
s
er
co
m
e
s
in
co
n
tact
w
it
h
ea
ch
o
t
h
er
.
T
h
e
co
m
p
u
tatio
n
o
f
t
h
is
p
r
o
b
ab
ilit
y
attr
ib
u
te
w
ill
y
ield
d
is
tr
ib
u
tio
n
o
f
th
e
p
r
o
b
ab
ilit
y
ch
ar
ac
ter
i
ze
d
b
y
m
ax
i
m
ized
f
ea
s
ib
ilit
y
o
f
g
etti
n
g
clo
s
er
to
in
f
ec
ted
u
s
er
w
it
h
m
o
r
e
p
er
io
d
o
f
co
n
tact.
Fi
g
u
r
e
3
h
i
g
h
lig
h
t
s
th
e
p
icto
r
ial
p
r
esen
tatio
n
o
f
t
r
ac
in
g
t
h
e
co
n
tact.
Fig
u
r
e
3
h
i
g
h
li
g
h
ts
t
h
e
co
n
ta
ct
b
et
w
ee
n
u
s
er
-
a
a
n
d
u
s
er
-
b
w
it
h
t
h
e
p
r
ese
n
ce
o
f
u
s
er
-
a
in
r
-
tier
a
n
d
u
s
er
-
b
lo
ca
ted
in
(
r
+1
)
tier
.
T
h
e
p
ictu
r
e
h
i
g
h
lig
h
t
s
d
is
ab
as
th
e
d
is
tan
ce
o
f
co
n
tac
t
b
et
w
ee
n
t
w
o
u
s
er
s
as
w
el
l
as p
er
ab
p
er
io
d
b
et
w
ee
n
t
w
o
u
s
er
s
in
co
n
tact.
T
h
e
p
r
o
p
o
s
ed
s
y
s
te
m
co
m
p
u
te
t
h
e
p
r
o
b
ab
ilit
y
th
at
t
h
e
u
s
er
-
b
ca
n
g
et
i
n
f
ec
ted
f
r
o
m
u
s
er
-
a
b
y
o
b
tain
i
n
g
a
p
r
o
d
u
ct
o
f
th
e
s
e
p
r
o
b
ab
ilit
ies
in
d
icate
d
b
y
P
r
o
b
(
u
s
er
-
b
,
u
s
er
-
a)
alo
n
g
w
it
h
t
h
e
cu
m
u
la
tiv
e
p
r
o
b
ab
ilit
y
o
f
o
b
tain
i
n
g
a
n
ex
p
o
s
u
r
e
to
th
e
in
f
ec
ted
u
s
er
P
r
o
b
.
T
h
e
m
at
h
e
m
atica
l
ex
p
r
ess
io
n
f
o
r
th
i
s
p
r
o
b
ab
ilit
y
is
as
(
4
)
.
P
r
o
b
(
u
s
er
-
b
,
u
s
er
-
a)
=P
r
o
b
(
u
s
er
-
a)
.
p
r
o
b
dist
(
d
is
t
a,
b
)
.
p
r
o
b
per
(
p
er
a
,
b
)
(
4
)
T
h
e
m
at
h
e
m
atica
l
e
x
p
r
ess
io
n
(
4
)
c
o
m
p
u
tes
t
h
e
p
r
o
b
ab
ilit
y
o
f
g
e
ttin
g
o
n
e
u
s
er
w
h
en
th
e
y
co
m
e
u
n
d
er
a
s
p
ec
i
f
ic
r
a
n
g
e
an
d
s
ta
y
w
i
th
in
th
a
t
r
an
g
e
o
f
t
h
e
in
f
ec
ted
u
s
er
.
Ho
w
e
v
er
,
t
h
e
p
r
o
p
o
s
ed
m
et
h
o
d
co
n
s
id
er
s
m
ed
ical
co
n
d
itio
n
o
f
th
e
u
s
er
ap
ar
t
f
r
o
m
p
er
io
d
an
d
s
p
atial
d
is
tan
ce
if
t
h
e
u
s
er
c
h
o
o
s
es
to
s
h
ar
e
th
i
s
ad
d
itio
n
al
i
n
f
o
r
m
atio
n
w
it
h
t
h
e
ap
p
licatio
n
.
T
h
e
p
r
o
p
o
s
ed
s
t
u
d
y
co
n
s
id
er
t
h
i
s
a
s
ρ
w
h
ic
h
c
o
n
tr
ib
u
tes
to
w
ar
d
s
p
r
o
b
a
b
ilit
y
ass
e
s
s
m
e
n
t r
ep
r
esen
ted
b
y
P
r
o
b
ρ
,
w
h
ich
i
s
m
a
th
e
m
atica
ll
y
r
ep
r
esen
ted
as
i
n
(
5
)
.
P
r
o
b
(
u
s
er
-
b
,
u
s
er
-
a)
=a
r
g
m
in
(
P
r
o
b
(
u
s
er
-
a)
.
P
r
o
b
dist
(
d
is
t
a,
b
)
.
P
r
o
b
dur
(
d
u
r
a,
b
)
+ΣP
r
o
b
ρ
)
(
5
)
I
n
th
e
m
a
th
e
m
atica
l
ex
p
r
es
s
i
o
n
(
5
)
,
th
e
s
t
u
d
y
co
n
s
id
er
s
p
r
esen
ce
o
f
s
p
ec
i
f
ic
n
u
m
b
er
o
f
ad
d
itio
n
al
co
n
tr
ib
u
to
r
y
m
ed
ical
i
n
f
o
r
m
atio
n
.
T
h
is
ad
d
itio
n
a
l
i
n
f
o
r
m
atio
n
ca
n
b
e
o
b
tain
ed
f
r
o
m
s
o
cial
n
e
t
w
o
r
k
ap
p
licatio
n
as
w
ell
a
s
W
h
a
ts
a
p
p
m
ess
a
g
i
n
g
s
er
v
ice.
T
h
e
p
r
o
p
o
s
ed
s
y
s
te
m
co
n
s
tr
u
ct
s
a
f
r
a
m
e
w
o
r
k
w
h
ic
h
u
s
es
B
lu
eto
o
th
s
i
g
n
al
as
w
ell
as
lo
ca
tio
n
in
f
o
r
m
atio
n
o
f
th
e
u
s
e
r
.
T
h
e
id
ea
is
to
tr
ac
k
th
e
co
m
p
lete
in
f
o
r
m
atio
n
ab
o
u
t
th
e
d
is
ta
n
ce
a
n
d
p
er
io
d
o
f
co
n
tact.
T
h
e
p
r
o
p
o
s
ed
s
y
s
te
m
d
e
v
elo
p
s
a
co
m
p
u
tat
io
n
al
f
r
a
m
e
w
o
r
k
w
h
ich
i
s
in
itial
ized
w
it
h
e
n
r
o
ll
m
e
n
t
o
f
u
s
er
w
h
er
e
e
m
ail
-
id
,
ad
d
r
ess
,
m
o
b
ile
n
u
m
b
er
o
f
t
h
e
u
s
er
i
s
s
to
r
ed
.
T
h
e
u
s
er
w
ill
b
e
p
r
o
m
p
ted
to
ad
d
a
d
d
itio
n
al
m
ed
ical
i
n
f
o
r
m
atio
n
w
h
ic
h
is
o
p
tio
n
al
f
o
r
th
e
u
s
er
i
n
o
r
d
er
to
ca
r
r
y
o
u
t
an
ef
f
ec
tiv
e
p
r
ed
ictio
n
o
f
t
h
e
s
ta
tu
s
o
f
t
h
r
ea
t
f
o
r
th
e
u
s
er
f
o
r
C
OVI
D
-
1
9
.
On
ce
t
h
e
e
n
r
o
ll
m
en
t
o
f
th
e
f
ir
s
t
ti
m
e
u
s
er
is
o
v
er
,
th
e
f
r
a
m
e
w
o
r
k
i
s
r
eq
u
ir
ed
to
b
e
r
u
n
n
in
g
o
n
t
h
e
b
ac
k
g
r
o
u
n
d
o
f
all
ap
p
licatio
n
in
u
s
er
h
an
d
h
eld
d
ev
ice.
T
h
e
p
r
o
p
o
s
ed
f
r
am
e
wo
r
k
also
en
s
u
r
e
th
at
p
r
iv
ate
i
n
f
o
r
m
at
io
n
o
f
t
h
e
u
s
er
to
b
e
m
ai
n
tai
n
as
a
s
ec
r
et
b
y
th
e
u
s
er
b
y
co
n
f
i
g
u
r
i
n
g
th
e
p
r
iv
ac
y
s
etti
n
g
e
s
p
ec
iall
y
th
e
l
o
ca
tio
n
in
f
o
r
m
atio
n
o
f
t
h
e
u
s
er
.
T
h
is
f
r
a
m
e
w
o
r
k
ass
is
ts
th
e
B
lu
eto
o
t
h
s
ig
n
ali
n
g
m
o
d
e
alo
n
g
w
it
h
m
o
n
ito
r
in
g
m
o
d
e
w
h
ile
th
e
y
o
p
er
ate
s
im
u
ltan
eo
u
s
l
y
.
T
h
e
s
ig
n
ali
n
g
v
al
u
es
o
f
t
h
e
r
ec
eiv
ed
s
ig
n
al
s
tr
en
g
t
h
ass
o
ciate
d
w
it
h
t
h
e
B
lu
eto
o
th
in
p
r
o
x
i
m
i
t
y
is
as
s
ess
ed
alo
n
g
w
it
h
t
h
e
lo
ca
tio
n
i
n
f
o
r
m
atio
n
f
r
o
m
t
h
e
GP
S
w
it
h
ti
m
es
ta
m
p
ed
d
ata
ca
p
tu
r
ed
o
n
ea
s
e
s
ca
n
n
i
n
g
.
T
h
is
in
f
o
r
m
atio
n
i
s
s
to
r
ed
in
th
e
h
an
d
h
eld
d
ev
ice
o
f
th
e
u
s
er
.
Ap
ar
t
f
r
o
m
t
h
is
,
cu
m
u
lati
v
e
d
u
r
atio
n
o
f
th
e
co
n
tact
f
o
r
th
e
e
n
tire
h
a
n
d
h
eld
d
ev
ic
e
in
t
h
e
p
r
o
x
i
m
i
t
y
i
s
also
r
ea
d
.
T
h
is
f
o
r
m
s
t
h
e
ag
g
r
eg
a
ted
d
ata
u
s
i
n
g
v
ar
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s
tech
n
o
lo
g
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s
u
p
p
o
r
ted
b
y
t
h
e
h
a
n
d
h
eld
d
ev
ice
o
f
th
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u
s
er
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Af
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I
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Vo
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12
,
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1
,
Feb
r
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ar
y
20
22
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9
6
-
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602
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aid
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ile
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p
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ci
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g
.
(
a)
(
b
)
(
c)
(
d
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Fig
u
r
e
5
.
An
al
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M
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CO
NCLU
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O
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iz:
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ile
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ased
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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A
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(
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603
RE
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NC
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[
1
]
K
.
M
u
k
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d
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.
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d
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2
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[
3
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A
.
J.
Ji
n
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a
l
.
,
“
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4
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P
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[
5
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.
M
e
e
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d
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t
h
.
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H
a
r
v
a
r
d
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se
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6
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S
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a
R
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c
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p
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me
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.
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19
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[
7
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L
.
R
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a
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me
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[
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Y
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[
9
]
A
.
A
.
O
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g
o
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.
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I
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12
,
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1
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Feb
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22
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5
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604
604
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