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e
v
i
d
eo
s
a
n
d
r
ed
u
ced
co
m
p
ar
i
s
o
n
can
d
i
d
at
e
k
e
y
f
r
a
m
es
b
as
ed
o
n
vi
d
e
o
l
e
ng
t
h a
nd
d
up
l
i
c
a
t
e
r
e
m
o
va
l
w
i
nd
o
w
.
T
h
e p
r
i
m
e o
b
j
ect
i
v
e o
f
d
ed
u
p
l
i
cat
i
o
n
i
s
t
o
r
ed
u
ce
m
u
l
t
i
p
l
e
r
e
d
und
a
nt
c
o
p
ie
s
.
D
e
d
u
p
lic
a
tio
n
p
er
f
o
r
m
a
n
ce d
ep
en
d
s
o
n
t
h
e
f
act
o
r
s
s
u
c
h
as
-
co
m
p
ar
i
s
on
w
i
n
do
w
,
s
pa
c
e
s
a
v
i
n
gs
,
m
e
t
a
da
t
a
l
ook
u
p a
n
d a
bov
e
al
l
t
h
e accu
r
ac
y
p
er
cen
t
a
g
e
o
f
d
u
p
l
i
cat
e co
n
t
en
t
.
T
h
e p
er
f
o
r
m
an
ce r
i
s
e
s
w
i
t
h
m
o
r
e d
u
p
l
i
cat
es
an
d
m
o
r
e
s
i
m
ila
r
it
y
.
U
n
li
k
e
o
th
e
r
te
x
t
d
e
d
u
p
lic
a
tio
n
m
e
t
h
o
d
s
,
d
u
p
lic
a
te
r
e
m
o
v
a
l r
a
tio
i
s
i
m
p
r
o
v
e
d
in
m
u
lt
i
m
e
d
ia
c
o
n
te
n
t b
y
id
e
n
t
if
y
i
n
g
s
i
m
ila
r
d
u
p
lic
a
te
s
.
V
id
e
o
s
i
m
ila
r
it
y
c
a
n
o
c
c
u
r
w
it
h
r
e
s
p
e
c
t to
r
e
s
o
lu
tio
n
,
f
o
r
m
a
tti
n
g
,
f
r
a
m
e
r
at
e a
n
d
co
n
t
e
n
t
d
i
f
f
er
en
ce.
T
h
e e
x
i
s
t
i
n
g
w
r
i
t
t
e
n
w
o
r
k
f
o
cu
s
e
s
o
n
t
h
e p
r
o
g
r
es
s
o
f
s
i
m
i
l
ar
f
eat
u
r
es
a
m
o
n
g t
he
vi
d
e
o
s
.
I
n [
1
1
]
,
t
he
a
ut
ho
r
p
r
o
p
o
s
e
s
t
h
e
f
r
am
ew
o
r
k
,
a
i
m
i
n
g
a
n
ef
f
i
ci
e
n
t
an
d
f
as
t
d
u
p
l
i
c
a
t
e r
em
o
v
al
p
r
o
ces
s
.
K
e
y
f
ac
t
o
r
s
ar
e
-
h
as
h
t
ab
l
e i
n
d
ex
i
n
g
,
v
i
d
eo
s
i
m
i
l
ar
i
t
y
an
d
t
e
m
p
o
r
al
l
o
cal
i
t
y
o
f
t
h
e
f
r
a
m
e
s
.
T
h
e au
t
h
o
r
cr
eat
es
m
u
l
t
i
p
l
e b
u
c
k
et
s
an
d
each
b
u
c
k
et
s
t
o
r
es
t
h
e e
x
t
r
act
ed
f
r
a
m
es
s
h
ar
i
n
g
t
h
e s
a
m
e
h
as
h
co
d
e.
F
r
a
m
e
s
ex
t
r
act
ed
i
n
t
h
e b
u
c
k
et
ar
e q
u
er
i
ed
f
o
r
f
i
n
d
i
n
g
t
h
e s
i
m
i
l
ar
i
t
y
an
d
r
e
m
o
v
i
n
g
t
h
e d
u
p
l
i
ca
t
es
.
N
ear
-
d
u
p
l
i
cat
e r
e
m
o
v
al
b
as
ed
o
n
s
h
o
t
-
s
i
m
i
l
a
r
i
t
y
i
s
pr
opos
e
d i
n
[
1
2
]
,
t
o
i
d
en
t
i
f
y
t
h
e d
u
p
l
i
cat
e s
cen
e
sh
o
t
s
.
I
t
f
o
c
u
se
s
o
n
t
h
e
s
a
m
e
e
v
en
t
cap
t
u
r
ed
w
i
t
h
d
i
f
f
er
e
n
t
ca
m
er
as
,
a
n
g
l
es
,
an
d
d
i
f
f
er
en
t
t
e
m
p
o
r
al
o
f
f
s
et
s
.
A
s
i
m
ila
r
it
y
b
e
t
w
e
e
n
a
s
e
t o
f
tr
a
j
e
c
to
r
ie
s
is
c
a
lc
u
la
te
d
f
o
r
f
i
n
d
in
g
th
e
d
u
p
lic
a
te
s
.
T
h
e
s
i
m
ila
r
it
y
is
m
e
a
s
u
r
e
d
f
o
r
s
t
r
i
ct
n
ear
d
u
p
l
i
cat
e
s
,
o
b
j
ect
d
u
p
l
i
cat
es
,
an
d
s
ce
n
e d
u
p
l
i
ca
t
e
s
.
T
he
a
ut
ho
r
s
o
f
[
1
3
],
[1
4
]
h
a
v
e
pr
opos
e
d a
s
e
c
u
r
e
v
i
de
o de
du
pl
i
c
a
t
i
on
f
r
a
m
e
w
or
k
ba
s
e
d on
H
.
264 c
o
m
pr
e
s
s
i
o
n
a
n
d a
bl
oc
k
l
e
v
e
l
c
ode
c
u
s
e
d f
or
h
i
gh
de
f
i
n
i
t
i
on
v
i
de
os
.
A
s
e
c
u
r
i
t
y
pa
r
a
m
e
t
e
r
i
s
f
oc
us
e
d on
e
n
c
r
y
pt
i
on
,
pr
oof
of
s
t
or
a
g
e
,
pr
oof
of
o
w
n
e
r
s
h
i
p a
n
d
re
t
r
i
ev
al
.
H
o
w
e
v
er
,
s
h
o
t
a
n
d
s
cen
e s
i
m
i
l
ar
i
t
y
an
d
s
ec
u
r
i
t
y
as
p
ect
s
ar
e n
o
t
w
i
t
h
i
n
t
h
e s
co
p
e o
f
t
h
i
s
p
ap
er
.
H
as
h
i
n
g
b
as
ed
o
n
m
u
l
t
i
p
l
e f
eat
u
r
es
f
o
r
d
et
ect
i
n
g
n
ear
-
d
u
p
lic
a
te
v
id
e
o
s
is
ill
u
s
tr
a
te
d
in
[
1
5
]
.
S
i
m
i
l
ar
i
t
y
a
n
d
p
er
f
o
r
m
an
ce ar
e ev
al
u
at
ed
b
y
cal
c
u
l
at
i
n
g
E
u
cl
i
d
ean
d
i
s
t
an
ce a
n
d
m
ea
n
av
e
r
ag
e p
r
eci
s
i
o
n
.
T
h
e
r
es
ear
ch
p
r
es
en
t
ed
i
n
[
1
6
]
i
n
t
r
o
d
u
ces
an
e
f
f
i
ci
e
n
t
y
e
t
ef
f
ect
i
v
e n
o
v
el
g
l
o
b
al
d
es
cr
i
p
t
o
r
;
w
h
er
e n
o
n
-
g
eo
m
et
r
i
c
di
s
t
or
t
i
on
s
a
n
d a
l
l
ot
h
e
r
t
r
a
ns
f
or
m
a
t
i
on
s
f
or
v
i
de
o
f
or
m
a
t
f
i
l
e
s
r
e
s
u
l
t
i
n de
t
e
c
t
i
on of
n
e
a
r
d
u
p
l
i
cat
e
v
i
d
eo
co
p
y
t
a
sk
s.
F
or
pr
oc
e
s
s
i
n
g
v
i
de
os
,
t
h
e
y
a
r
e
c
onv
e
r
t
e
d i
n
t
o i
m
a
ge
f
r
a
m
e
s
;
a
u
t
h
or
s
of
[
1
7
]
in
v
e
s
tig
a
te
d
E
u
c
lid
e
a
n
d
i
s
t
an
ce a
n
d
s
h
ap
e b
as
ed
s
i
m
i
l
ar
i
m
a
g
e r
et
r
i
ev
a
l
b
y
m
e
an
s
o
f
Z
er
n
i
k
e
m
o
m
en
t
s
.
T
h
e v
al
i
d
i
t
y
o
f
d
i
g
i
t
al
i
m
a
ge
s
i
s
ve
r
i
f
i
e
d
b
y
c
o
m
p
a
r
i
ng
hi
s
t
o
gr
a
m
a
nd
p
r
i
nc
i
p
a
l
c
o
m
p
o
ne
nt
a
na
l
ys
i
s
o
f
t
w
o
i
m
a
ge
s
b
y
t
he
a
ut
ho
r
s
o
f
[
1
8
].
T
h
i
s
pa
pe
r
f
oc
u
s
es
o
n
r
e
m
o
v
i
n
g
d
u
p
l
i
cat
e a
n
d
s
i
m
i
l
ar
v
i
d
eo
s
f
r
o
m
t
h
e b
ack
u
p
o
r
ar
ch
i
v
e s
t
o
r
ag
e.
T
h
e ar
ch
i
v
e
i
s
a co
l
l
ect
i
o
n
o
f
o
l
d
er
an
d
i
n
act
i
v
e d
at
a
w
h
i
c
h
i
s
h
ar
d
l
y
e
v
er
acce
s
s
ed
.
I
t
d
eal
s
w
i
t
h
l
o
n
g
-
t
e
r
m
d
at
a p
r
es
er
v
at
i
o
n
.
W
e i
n
t
en
d
t
o
r
ed
u
ce t
h
e m
u
l
t
i
m
ed
i
a d
at
a s
i
ze
o
f
t
h
e ar
ch
i
v
es
b
y
p
er
f
o
r
m
i
n
g
d
ed
u
p
l
i
cat
i
o
n
o
n
t
h
e
v
i
d
eo
s
.
C
o
m
p
ar
i
s
o
n
w
i
n
d
o
w
i
s
s
h
o
r
t
en
ed
b
y
an
e
f
f
ect
i
v
e s
a
m
p
l
i
n
g
o
f
t
h
e r
eq
u
i
r
ed
k
e
y
f
r
a
m
es
b
as
ed
o
n
le
n
g
th
of
t
h
e
v
i
de
o.
I
n
a
d
d
itio
n
,
a
f
te
r
f
in
d
i
n
g
th
e
s
i
m
ila
r
it
y
,
th
e
c
o
p
y
w
h
ic
h
o
c
c
u
p
ie
s
le
s
s
s
p
a
c
e
is
p
r
e
s
er
v
ed
i
n
t
h
e s
t
o
r
ag
e.
I
t
i
s
a t
w
o
l
ev
e
l
ap
p
r
o
ach
,
w
h
er
e t
h
e v
i
d
eo
i
s
ch
ec
k
ed
f
o
r
t
h
e e
x
act
d
u
p
l
i
c
at
es
;
t
h
i
s
r
es
u
l
t
s
i
n
t
h
e r
e
m
o
v
al
o
f
a d
u
p
l
i
cat
e co
p
y
i
f
an
ex
act
co
n
t
e
n
t
m
a
t
ch
i
s
f
o
u
n
d
.
I
f
t
h
e ex
act
d
u
p
l
i
cat
e
co
p
y
i
s
n
o
t
f
o
u
n
d
,
t
he
n t
he
s
ys
t
e
m
s
e
a
r
c
he
s
f
o
r
t
h
e n
ear
d
u
p
l
i
cat
e o
n
es
a
n
d
t
h
e
y
ar
e r
e
m
o
v
ed
b
y
s
i
m
i
l
ar
i
t
y
r
a
n
k
i
n
g
o
f
t
h
e
f
r
a
m
e
s
b
as
ed
o
n
t
h
ei
r
b
i
n
ar
y
h
as
h
es
.
T
h
e
o
rd
e
r o
f t
he
r
e
m
a
i
ni
n
g s
e
c
t
i
o
ns
in
t
h
is
a
r
tic
le
is
s
t
r
uc
t
ur
e
d
a
s f
o
l
l
o
w
s
.
D
e
s
c
r
i
pt
i
on
of
de
s
i
gn
a
n
d
a
l
g
or
i
t
hm
f
or
r
e
m
ov
i
ng
n
e
a
r
-
d
u
p
lic
a
te
vi
de
os
i
s
e
x
pr
e
s
s
e
d i
n
S
e
c
tio
n
I
I
.
B
e
s
i
d
e
s
it
,
t
he
s
ect
i
o
n
a
ls
o
ill
u
s
tr
a
te
s
a
m
o
d
el
d
es
cr
i
b
i
n
g
t
h
e
d
at
a
g
r
o
w
t
h
a
n
d
d
at
a
r
em
o
v
al
r
at
e
i
n
an
ar
c
h
i
v
e.
P
er
f
o
r
m
a
n
ce
an
al
y
s
i
s
a
n
d
r
es
u
l
t
s
s
t
a
t
i
ng t
he
s
t
o
r
a
ge
s
a
vi
n
gs
ar
e
illu
s
tr
a
te
d
in
s
e
c
tio
n
I
I
I
.
T
h
e
w
o
r
k
i
s c
o
nc
l
ud
e
d
in
S
e
c
tio
n
I
V
.
2.
SY
ST
E
M
P
RO
CE
DURE
2
.1
.
V
i
de
o
R
e
dunda
nc
y
E
l
i
m
i
na
t
i
o
n
D
e
d
u
p
lic
a
tio
n
i
s
a
p
a
r
titio
n
d
ic
h
o
to
m
y
o
f
t
h
e
v
i
de
os
i
n
t
o
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e co
d
es
as
p
er
E
q
ua
t
i
o
n
(
4
)
.
S
i
m
i
l
ar
i
t
y
s
co
r
e i
s
cal
cu
l
at
ed
f
r
o
m
t
h
es
e d
i
s
t
a
n
ces
as
s
h
o
w
n
i
n
E
q
u
at
i
o
n
(
5
)
,
f
o
r
each
can
d
i
d
at
e
h
as
h
co
d
es
l
.
A
f
te
r
c
a
lc
u
la
tin
g
th
e
in
d
i
v
id
u
a
l s
i
m
ila
r
it
y
s
c
o
r
e
,
th
e
f
i
n
a
l s
i
m
ila
r
i
t
y
r
a
n
k
i
n
g
o
f
q
u
e
r
y
v
id
e
o
is
c
a
l
c
ul
a
t
e
d
b
y
t
a
ki
n
g a
n a
ve
r
a
ge
o
f
t
he
i
nd
i
vi
d
u
a
l
s
c
o
r
e
s
.
I
f
th
is
f
i
n
a
l
s
c
o
r
e
is
b
ig
g
e
r
t
h
a
n
th
e
s
ta
te
d
th
r
e
s
h
o
ld
ω
,
q
u
er
y
v
i
d
eo
i
s
m
ea
s
u
r
ed
as
a n
ear
-
d
u
p
l
i
cat
e o
n
e
as
d
es
cr
i
b
ed
i
n
E
q
u
at
i
o
n
(
6
)
.
T
h
e f
i
n
al
s
co
r
e l
es
s
t
h
a
n
t
h
e
t
hr
e
s
ho
l
d
ω
,
m
ean
s
q
u
er
y
v
i
d
eo
i
s
n
o
t
a d
u
p
l
i
cat
e a
n
d
i
s
co
n
s
i
d
er
ed
as
a n
e
w
v
id
e
o
f
ile
.
T
h
is
n
e
w
v
id
e
o
is
s
t
o
r
ed
i
n
t
h
e s
t
o
r
ag
e a
n
d
k
e
y
f
r
a
m
e d
et
ai
l
s
an
d
t
h
ei
r
r
es
p
ect
i
v
e h
a
s
h
co
d
es
ar
e s
t
o
r
ed
i
n
t
h
e
m
et
ad
at
a.
C
o
ns
i
d
e
r
i
ng
x =
a
nd y
=
w
e
g
e
t;
=
∑
|
−
=
1
|
(4
)
=
1
(5
)
Q
v
=
ne
a
r
−
d
up
l
i
c
a
te
,
m
s
c
o
re
≥
ω
no
−
d
up
l
i
c
a
te
,
ℎ
(6
)
A
lg
o
r
ith
m
1
:
V
i
d
e
o
de
du
pl
i
c
a
t
i
on
b
a
s
e
d
on
h
a
s
h
s
i
gna
t
ur
e
s
A
lg
o
r
ith
m
2
:
V
i
d
e
o
de
du
pl
i
c
a
t
i
on
b
a
s
e
d
on
h
a
s
h
s
im
ila
r
iti
e
s
I
np
ut
:
Q
ue
r
y
vi
de
o
; H
a
s
h
A
lg
o
r
ith
m
O
u
tp
u
t:
D
u
p
li
c
a
t
e
ty
p
e
–
d
u
p
l
i
cat
e o
r
n
o
-
d
u
p
lic
a
t
e
B
e
gi
n
vi
de
o
De
d
u
p
ℎ
[
]
←
g
e
t
H
a
s
hF
i
nge
r
pr
i
nt
s
(
)
←
f
i
nge
r
P
r
i
nt
(
,
);
S
ea
r
ch
o
f
t
h
e
v
i
d
eo
i
n
m
e
t
ad
at
a
ℎ
[
]
i
f
=
ℎ
[
]
t
he
n
V
i
d
e
o
i
s
d
u
p
l
i
c
at
e;
r
em
o
v
e
t
h
e co
p
y
U
pda
t
e
Me
t
ad
a
t
a(
)
e
l
se
=
s
im
ila
r
i
t
y
C
he
c
k(
)
i
f
= N
ea
r
-
d
u
p
l
ic
a
te
th
e
n
V
i
d
e
o i
s
U
ni
que
;
s
a
v
e
t
h
e
c
op
y
e
l
s
e
//
v
id
e
o
i
s
d
u
p
li
c
a
te
upd
a
t
e
M
et
ad
a
t
a(
)
e
nd i
f
E
nd
I
np
ut
:
Q
ue
r
y
v
i
de
o
O
u
t
p
u
t
:
D
u
p
l
i
cat
e t
y
p
e
{n
ea
r
-
dup
l
i
c
a
t
e
,
no
-
d
u
p
l
i
ca
t
e}
B
e
g
in
s
im
ila
r
i
ty
C
h
eck
[
]
[
]
←
g
e
t
F
r
am
eH
as
h
C
o
d
es
(
)
[
]
←
ex
t
r
act
F
r
am
es
(
)
; //D
y
n
a
m
ic
fo
r e
a
c
h
(
k
ey
f
r
am
e i
n
[
]
)
[
]
←
ca
l
cu
l
at
e
Ha
s
h
(
,
)
E
nd
fo
r
/
/
s
e
l
e
ct
can
d
i
d
at
e h
as
h
c
o
d
es
[
]
←
s
el
ect
C
an
d
i
d
at
es
(
[
]
,
)
[
]
←
s
el
ect
C
an
d
i
d
at
es
(
[
]
,
)
fo
r e
a
c
h
(
ca
n
d
i
d
a
t
e i
n
[
]
a
nd
[
]
)
C
al
c
u
l
at
e
[
]
e
nd f
or
←
av
e
r
ag
e(
[
]
)
i
f (
≥
)
t
he
n
=
“N
ea
r
-
d
u
p
l
ic
a
te
’
e
l
se
=
“
No
-
d
upl
i
c
a
t
e
’
E
nd
A
l
g
o
r
ith
m
3
ill
u
s
tr
a
te
s
th
e
s
te
p
s
f
o
r
s
e
le
c
tin
g
s
a
m
p
le
c
a
n
d
id
a
te
k
e
y
f
r
a
m
e
s
f
o
r
t
h
e
c
o
m
p
a
r
is
o
n
.
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
E
C
E
I
S
S
N
:
2088
-
8708
A
D
e
te
r
m
in
is
tic
D
e
d
u
p
lic
a
tio
n
M
o
d
e
l fo
r
R
e
m
o
v
in
g
R
e
dun
da
nc
i
e
s
…
(
J
y
ot
i
M
al
hot
r
a)
3225
A
l
g
o
r
ith
m
3
: C
a
n
d
id
a
te
k
e
y
f
r
a
m
e
s
e
le
c
t
io
n
I
np
ut
:
[
]
C
o
l
l
e
c
t
i
o
n
o
f
ha
s
hc
od
e
s
i
n m
e
t
a
d
a
t
a
or
q
ue
r
y
vi
de
o a
n
d
de
c
i
di
ng t
he
c
a
n
d
i
d
a
t
e
s
O
ut
p
ut
:
[
]
B
e
g
i
n
s
el
ect
C
an
d
i
d
at
es
f
o
r
e
ach
(
ha
s
h
c
od
e
i
n
[
]
)
i
f
(
=
=
1
)
t
he
n
[
]
←
[
]
e
l
se
[
]
←
[
+
]
E
nd
2
.1
.
P
r
o
b
a
b
ilit
y
M
o
de
l
f
o
r
S
im
i
la
r
V
id
e
o
D
e
le
t
io
n
T
h
is
s
e
c
tio
n
ill
u
s
tr
a
te
s
t
h
e
p
r
o
b
a
b
ilis
tic
a
n
d
d
e
te
r
m
in
is
t
ic
m
o
d
e
l
d
e
s
c
r
ib
in
g
th
e
f
u
n
d
a
m
e
n
ta
l
r
el
at
i
o
n
s
h
i
p
s
b
et
w
ee
n
e
x
act
a
n
d
n
ear
-
d
u
p
l
i
cat
e
v
i
d
eo
s
,
t
h
ei
r
s
t
o
r
ag
e
s
p
ace r
eq
u
i
r
e
m
e
n
t
a
n
d
t
h
e r
at
e o
f
t
h
ei
r
gr
o
w
t
h a
nd
r
e
m
o
va
l
.
T
he
p
r
o
b
a
b
ilis
tic
e
x
p
e
r
i
m
e
n
t i
n
v
o
l
ve
s
r
a
nd
o
m
va
r
i
a
b
l
e
s
na
m
e
l
y
,
vi
d
e
o
ha
s
h s
i
g
na
t
ur
e
s
an
d
s
i
m
i
l
ar
i
t
y
s
co
r
e.
G
i
v
e
n
a
s
a
m
p
l
e
s
p
ace
Ω
o
f
v
i
de
os
;
w
h
e
r
e
t
h
e
pr
oba
bi
l
i
t
y
of
du
pl
i
c
a
t
e
v
i
de
o i
s
p a
n
d
no
n
-
d
u
p
lic
a
te
is
(
1
-
p
)
,
th
e
n
th
e
p
r
o
b
a
b
ility
o
f
g
e
tti
n
g
e
x
a
c
tl
y
k
d
u
p
lic
a
te
v
id
e
o
s
b
a
s
e
d
o
n
th
e
ha
s
h s
i
g
na
t
ur
e
s
i
s
a
s
s
ho
w
n i
n E
q
ua
t
i
o
n (
7
)
.
P
(
k
D
u
p
l
i
cat
es
)
=
p
k
(1
-
p)
V
-
k
(7
)
A
s
v
i
d
eo
s
ar
e ed
i
t
i
n
g
p
r
o
n
e,
t
h
e p
r
o
ces
s
o
f
r
ed
u
n
d
an
t
v
i
d
e
o
r
em
o
v
al
as
n
ear
-
d
u
p
l
i
cat
es
i
s
f
u
r
t
h
er
p
r
o
ces
s
ed
b
a
s
e
d
o
n
its
s
i
m
ila
r
it
y
s
c
o
r
e
a
nd
a
t
hr
e
s
ho
l
d
va
l
ue
.
T
hr
e
s
ho
l
d
is
th
e
p
a
r
a
m
e
te
r
w
h
ic
h
illu
s
tr
a
te
s
ab
o
u
t
t
h
e s
i
m
i
l
ar
i
t
y
s
co
r
e,
an
d
t
h
e v
al
u
e i
s
l
es
s
t
h
a
n
1
.
P
r
o
b
a
b
ility
th
a
t t
h
e
t
a
ke
s
va
l
ue
s
i
n t
he
in
te
r
v
a
l f
r
o
m
to
1
is
s
a
m
e
a
s
th
e
p
r
o
b
a
b
ility
o
f
a
ll p
o
s
s
i
b
le
o
u
t
co
m
e
s
w
h
er
e t
h
i
s
s
co
r
e can
c
o
me
.
T
h
e
P
r
o
b
a
b
ility
d
e
n
s
i
t
y
an
d
e
x
p
ect
ed
v
al
u
e
o
f
f
o
r
its
n
u
m
e
r
ic
a
l
p
o
s
s
ib
ilitie
s
ar
e
de
s
c
r
i
be
d i
n
E
qu
a
t
i
on
(8
) a
n
d
(9
).
P(
≤
≤
1
)
=
∫
(
)
1
(8
)
(
)
=
s
f
S
im
sc
o
r
e
(
s
)
d
s
1
ω
(9
)
A
d
is
c
r
e
te
ti
m
e
m
o
d
e
l illu
s
tr
a
te
d
in
F
i
g
u
r
e
2
d
e
s
c
r
ib
e
s
th
e
e
v
o
lu
tio
n
f
r
o
m
vi
d
e
o
a
r
r
iv
a
l f
o
r
th
e
b
ack
u
p
t
o
i
t
s
s
t
o
r
ag
e p
r
o
ces
s
.
T
h
e
m
o
d
el
h
a
s
s
ix
p
o
s
s
ib
le
s
ta
te
s
a
n
d
s
e
ve
n
p
o
s
s
ib
le
tr
a
n
s
itio
n
s
b
e
t
w
e
e
n
th
e
s
ta
te
s
a
n
n
o
ta
te
d
w
it
h
t
h
e
ir
r
e
p
r
e
s
e
n
ta
ti
v
e
tr
a
n
s
it
io
n
p
r
o
b
a
b
ilitie
s
.
A
t a
n
y
k
n
o
w
n
ti
m
e
; a
f
te
r
th
e
a
r
r
iv
a
l,
vi
d
e
o
can
m
o
v
e t
o
ei
t
h
er
o
f
t
h
e s
t
a
t
e
s
s
u
c
h
as
d
u
p
l
i
cat
e,
s
i
m
i
l
ar
o
r
n
o
n
-
d
u
p
l
i
cat
e b
as
ed
o
n
t
h
e
vi
d
e
o
ch
ar
act
er
i
s
t
i
cs
(
f
in
g
e
r
p
r
in
t,
s
i
m
ila
r
it
y
s
c
o
r
e
)
.
O
n
c
e
th
e
vi
d
e
o
is
id
e
n
ti
f
ie
d
as
a d
u
p
l
i
cat
e o
r
m
o
r
e s
i
m
i
l
ar
,
t
h
e s
y
s
t
e
m
g
o
es
t
o
t
he
vi
d
e
o
r
ef
er
en
ce s
t
at
e an
d
s
t
a
y
s
i
n
t
h
e
s
a
m
e
s
t
at
e.
T
he
s
ys
t
e
m
s
t
a
ys
i
n t
he
u
ni
q
ue
vi
d
e
o
s
ta
te
if
t
h
e
r
e
is
n
o
m
a
t
c
h o
n f
i
n
ge
r
p
r
i
nt
s
a
nd
v
i
de
os
ar
e n
o
t
s
i
m
i
l
ar
.
F
i
g
ur
e
2
.
P
r
o
b
a
b
ilis
tic
d
is
c
r
e
te
ti
m
e
m
o
d
e
l
f
o
r
vi
d
e
o
s
t
o
r
a
ge
1
1
0
.5
0
.5
0
.4
0
.3
0
.3
V
id
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=
(
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(
14
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Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
E
C
E
I
S
S
N
:
2088
-
8708
A
D
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3227
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pl
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3.
RE
S
U
L
T
S
AND D
I
S
CU
S
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I
O
N
I
n
t
h
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s
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ect
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b
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v
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c
h
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f
ect
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d
t
h
e b
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ar
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s
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[
21
]
.
A
s
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c d
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as
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2
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t
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d
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s
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m
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2
3
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,
Y
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I
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