I
nte
rna
t
io
na
l J
o
urna
l o
f
E
lect
rica
l a
n
d Co
m
p
ute
r
E
ng
in
ee
ring
(
I
J
E
CE
)
Vo
l.
8
,
No
.
5
,
Octo
b
e
r
2
0
1
8
,
p
p
.
3
3
7
4
~
3
3
8
5
I
SS
N:
2
0
8
8
-
8708
,
DOI
: 1
0
.
1
1
5
9
1
/
i
j
ec
e
.
v8
i
5
.
pp
3
3
7
4
-
3385
3374
J
o
ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ia
e
s
co
r
e
.
co
m/
jo
u
r
n
a
ls
/in
d
ex
.
p
h
p
/
I
JE
C
E
M
ining
F
u
zz
y
Ti
m
e
Interva
l
Perio
dic P
a
t
terns
in S
m
a
rt
H
o
m
e
D
a
ta
I
m
a
m
M
uk
h
la
s
h
1
,
Des
na
Yu
a
nd
a
2
,
M
o
ha
m
m
a
d I
qb
a
l
3
1,
2
De
p
a
rtm
e
n
t
o
f
M
a
th
e
m
a
ti
c
s,
In
stit
u
t
T
e
k
n
o
lo
g
i
S
e
p
u
l
u
h
No
p
e
m
b
e
r
S
u
ra
b
a
y
a
,
In
d
o
n
e
sia
3
De
p
a
rtme
n
t
o
f
Co
m
p
u
ter S
c
ien
c
e
a
n
d
In
f
o
rm
a
ti
o
n
E
n
g
in
e
e
r
in
g
,
N
a
ti
o
n
a
l
T
a
iw
a
n
Un
iv
e
rsit
y
o
f
S
c
ie
n
c
e
a
n
d
T
e
c
h
n
o
l
o
g
y
,
T
a
i
w
a
n
Art
icle
I
nfo
AB
ST
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
Ma
y
24
,
2
0
1
8
R
ev
i
s
ed
J
u
n
2
1
,
2
0
1
8
A
cc
ep
ted
J
u
l 1
2
,
2
0
1
8
A
c
o
n
v
e
rg
e
n
c
e
o
f
te
c
h
n
o
lo
g
ies
in
d
a
ta
m
in
in
g
,
m
a
c
h
in
e
lea
rn
in
g
,
a
n
d
a
p
e
rsu
a
siv
e
c
o
m
p
u
ter
h
a
s
led
to
a
n
i
n
tere
st
in
t
h
e
d
e
v
e
lo
p
m
e
n
t
o
f
sm
a
rt
e
n
v
iro
n
m
e
n
t
to
h
e
lp
h
u
m
a
n
w
it
h
f
u
n
c
ti
o
n
s,
su
c
h
a
s
m
o
n
it
o
rin
g
a
n
d
re
m
o
te
h
e
a
lt
h
i
n
terv
e
n
ti
o
n
s,
a
c
ti
v
it
y
re
c
o
g
n
it
io
n
,
e
n
e
rg
y
sa
v
in
g
.
T
h
e
n
e
e
d
f
o
r
tec
h
n
o
l
o
g
y
d
e
v
e
lo
p
m
e
n
t
w
a
s
c
o
n
f
ir
m
e
d
a
g
a
in
b
y
th
e
a
g
in
g
p
o
p
u
latio
n
a
n
d
th
e
im
p
o
rtan
c
e
o
f
i
n
d
iv
id
u
a
l
i
n
d
e
p
e
n
d
e
n
t
i
n
t
h
e
ir
o
w
n
h
o
m
e
s.
P
a
tt
e
rn
m
in
in
g
o
n
se
n
so
r
d
a
ta
f
ro
m
s
m
a
rt
h
o
m
e
is
w
id
e
l
y
a
p
p
li
e
d
in
re
se
a
rc
h
su
c
h
a
s
u
sin
g
d
a
ta
m
in
in
g
.
In
t
h
is
p
a
p
e
r,
w
e
p
ro
p
o
se
d
a
p
e
ri
o
d
ic
p
a
tt
e
rn
m
in
in
g
in
sm
a
rt
h
o
u
se
d
a
ta
t
h
a
t
is
in
teg
ra
ted
b
e
t
w
e
e
n
th
e
F
P
-
G
ro
w
th
P
re
f
ix
S
p
a
n
a
lg
o
rit
h
m
a
n
d
a
f
u
z
z
y
a
p
p
ro
a
c
h
,
w
h
ich
is
c
a
ll
e
d
a
s
f
u
z
z
y
-
ti
m
e
in
terv
a
l
p
e
rio
d
i
c
p
a
tt
e
rn
s
m
in
in
g
.
Ou
r
p
u
rp
o
se
is
to
o
b
tain
t
h
e
p
e
ri
o
d
ic
p
a
tt
e
rn
o
f
a
c
ti
v
it
y
a
t
v
a
rio
u
s
ti
m
e
in
terv
a
ls.
T
h
e
si
m
u
latio
n
re
s
u
lt
s
sh
o
w
th
a
t
th
e
re
sid
e
n
t
a
c
ti
v
it
ies
c
a
n
b
e
re
c
o
g
n
ize
d
b
y
a
n
a
l
y
z
in
g
th
e
tri
g
g
e
r
e
d
se
n
so
r
p
a
tt
e
rn
s,
a
n
d
th
e
im
p
a
c
ts
o
f
m
in
i
m
u
m
su
p
p
o
r
t
v
a
lu
e
s
to
th
e
n
u
m
b
e
r
o
f
f
u
z
z
y
-
ti
m
e
-
in
terv
a
l
p
e
rio
d
ic
p
a
tt
e
rn
s
g
e
n
e
ra
ted
.
M
o
re
o
v
e
r,
f
u
z
z
y
-
ti
m
e
-
in
terv
a
l
p
e
rio
d
ic
p
a
tt
e
r
n
s
th
a
t
a
re
g
e
n
e
ra
ted
e
n
c
o
u
ra
g
e
s to
f
in
d
d
a
i
l
y
o
r
a
n
o
m
a
li
e
s res
id
e
n
t’s
h
a
b
it
s.
K
ey
w
o
r
d
:
Data
m
i
n
i
n
g
Fu
zz
y
ti
m
e
-
in
ter
v
al
P
er
io
d
ic
p
atter
n
Seq
u
en
ce
p
atter
n
S
m
ar
t
h
o
m
e
Co
p
y
rig
h
t
©
2
0
1
8
In
stit
u
te o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
rin
g
a
n
d
S
c
ien
c
e
.
Al
l
rig
h
ts
re
se
rv
e
d
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
I
m
a
m
M
u
k
h
la
s
h
,
Dep
ar
te
m
en
t o
f
Ma
th
e
m
atic
s
,
I
n
s
tit
u
t T
ek
n
o
lo
g
i Sep
u
l
u
h
No
p
em
b
er
,
Su
r
ab
a
y
a,
I
n
d
o
n
e
s
ia
.
E
m
ail:
i
m
a
m
m
@
m
ate
m
ati
k
a.
i
ts
.
ac
.
id
1.
I
NT
RO
D
UCT
I
O
N
An
i
n
telli
g
e
n
t
an
d
a
u
to
m
a
tio
n
s
y
s
te
m
i
s
o
n
e
o
f
e
m
er
g
in
g
tech
n
o
lo
g
ies
t
h
at
i
s
s
u
p
p
o
r
tin
g
h
u
m
a
n
ac
tiv
itie
s
o
n
h
o
u
s
eh
o
ld
s
,
ed
u
c
atio
n
,
b
u
s
i
n
es
s
,
an
d
w
o
r
k
.
B
y
ap
p
ly
i
n
g
th
e
s
y
s
te
m
s
to
d
ev
ic
es
in
a
h
o
u
s
e
o
r
an
ap
ar
tm
e
n
t,
t
h
e
r
esid
e
n
t
’
s
i
s
b
ein
g
a
s
s
i
s
ted
w
it
h
t
h
eir
ac
t
iv
itie
s
b
ec
o
m
e
f
aster
,
s
a
f
et
y
an
d
ef
f
icie
n
t
t
h
a
n
m
an
u
all
y
.
T
h
e
tec
h
n
o
lo
g
ies
ca
n
b
e
ca
lled
a
s
S
m
ar
t
Ho
u
s
e.
T
h
en
,
th
e
esti
m
at
io
n
b
ased
o
n
[
1
]
,
o
v
er
9
0
m
illi
o
n
p
eo
p
le
ar
o
u
n
d
th
e
w
o
r
ld
w
il
l
b
e
liv
i
n
g
i
n
a
S
m
ar
t
Ho
m
e,
u
s
in
g
t
h
e
tec
h
n
o
lo
g
ies
to
i
m
p
r
o
v
e
t
h
eir
h
o
m
e
s
ec
u
r
it
y
,
co
m
f
o
r
t,
an
d
en
er
g
y
u
s
a
g
e.
S
m
ar
t
Ho
m
e
a
n
d
h
o
m
e
a
u
to
m
atio
n
ar
e
a
co
m
m
o
n
ter
m
th
at
is
u
s
ed
o
n
v
ar
io
u
s
s
o
l
u
tio
n
s
f
o
r
co
n
tr
o
llin
g
,
m
o
n
ito
r
in
g
an
d
au
to
m
at
io
n
f
u
n
ctio
n
s
in
t
h
e
h
o
m
e.
Fo
r
ex
a
m
p
les,
t
h
e
lig
h
t
s
au
to
m
at
icall
y
t
u
r
n
o
n
w
h
e
n
th
e
r
esid
en
t
co
m
e
s
,
s
el
f
-
ad
j
u
s
tin
g
th
er
m
o
s
tat
w
it
h
t
h
e
n
u
m
b
er
o
f
p
eo
p
le,
h
o
m
e
m
o
n
ito
r
in
g
ca
m
er
as.
S
m
ar
t
Ho
m
e
is
t
h
e
h
o
m
e
-
li
k
e
en
v
ir
o
n
m
e
n
t
t
h
at
h
a
s
a
m
b
ie
n
t
in
telli
g
en
ce
(
an
elec
tr
o
n
ic
e
n
v
ir
o
n
m
e
n
t
t
h
at
i
s
s
en
s
iti
v
e
an
d
r
esp
o
n
s
iv
e
to
th
e
p
r
esen
ce
o
f
h
u
m
a
n
s
)
an
d
au
to
m
atic
co
n
tr
o
l.
T
h
e
en
v
ir
o
n
m
en
t
allo
ws
r
esp
o
n
d
in
g
th
e
r
e
s
id
en
t
’
s
b
e
h
av
io
r
b
y
p
r
o
v
id
in
g
v
ar
io
u
s
f
a
cilities
[
2
]
.
A
s
et
o
f
s
e
n
s
o
r
s
h
as
b
ee
n
i
n
s
tal
led
to
co
llect
v
ar
io
u
s
t
y
p
es
o
f
d
ata,
s
u
c
h
a
s
t
h
e
r
esid
e
n
ts
an
d
t
h
e
co
n
s
u
m
p
tio
n
u
tili
t
y
o
f
S
m
ar
t
Ho
m
e.
T
h
e
s
e
n
s
o
r
d
ev
ices
(
e.
g
.
,
m
icr
o
-
co
n
tr
o
ller
s
)
an
al
y
ze
t
h
e
co
llected
d
ata
t
o
id
en
tify
t
h
e
ac
tio
n
s
o
r
ev
e
n
ts
o
f
r
esid
e
n
ts
th
at
o
cc
u
r
in
th
e
S
m
ar
t
Ho
m
e.
Ne
x
t,
t
h
e
r
esp
o
n
d
i
n
g
o
f
ac
tio
n
s
o
r
ev
en
t
s
is
co
n
tr
o
lled
b
y
p
ar
ticu
lar
m
ec
h
an
i
s
m
s
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
Min
in
g
F
u
z
z
y
Time
I
n
terva
l P
erio
d
ic
P
a
tter
n
s
in
S
ma
r
t H
o
me
Da
ta
(
I
ma
m
Mu
kh
la
s
h
)
3375
th
at
ar
e
b
u
ilt
i
n
to
t
h
e
h
o
m
e.
F
o
r
in
s
ta
n
ce
s
,
th
e
s
m
ar
t
b
e
h
av
i
o
r
is
t
u
r
n
i
n
g
t
h
e
l
ig
h
ts
o
n
w
h
e
n
s
o
m
eo
n
e
en
ter
s
a
r
o
o
m
[
2
]
an
d
co
m
p
lica
ted
task
,
s
u
ch
a
s
d
etec
tio
n
w
h
en
i
s
th
e
eld
er
ly
r
esid
e
n
t a
lo
n
e
a
n
d
n
o
t
f
ee
li
n
g
w
el
l.
B
y
a
u
to
m
a
tio
n
s
y
s
te
m
i
n
S
m
ar
t
Ho
m
e,
a
u
s
e
f
u
l
i
n
f
o
r
m
ati
o
n
ca
n
b
e
g
en
er
ated
i
n
to
p
atter
n
s
.
A
l
l
tr
ig
g
er
ed
s
en
s
o
r
s
ar
e
co
llect
ed
an
d
m
in
ed
to
o
b
tai
n
a
n
in
f
o
r
m
ati
v
e
p
a
tter
n
b
y
ap
p
l
y
i
n
g
d
ata
m
in
in
g
tech
n
iq
u
es.
Data
m
in
in
g
is
t
h
e
p
r
o
ce
s
s
o
f
ex
tr
ac
tin
g
i
m
p
o
r
tan
t
p
atter
n
s
o
f
d
ata
o
n
a
lar
g
e
s
ca
le.
T
h
e
in
f
o
r
m
ati
v
e
p
atter
n
s
ca
n
b
e
u
s
ed
to
f
ig
u
r
e
o
u
t t
h
e
h
ab
it o
f
t
h
e
r
esid
en
t,
h
ea
l
th
e
v
e
n
t,
en
er
g
y
u
s
ag
e.
T
o
an
al
y
ze
a
p
atter
n
o
f
r
e
s
id
en
t
’
s
ac
ti
v
iti
es,
th
e
p
er
io
d
ical
ti
m
e
i
n
ter
v
a
l
o
f
ea
c
h
ac
ti
v
it
y
n
ee
d
s
to
b
e
co
n
s
id
er
ed
.
On
e
o
f
th
e
i
m
p
o
r
tan
t
i
s
s
u
es
in
p
er
io
d
icit
y
p
atter
n
m
in
i
n
g
is
h
o
w
to
d
ef
in
e
th
e
ti
m
e
in
ter
v
al
an
d
m
i
n
e
th
e
p
er
io
d
icit
y
p
atter
n
u
s
in
g
s
eq
u
en
t
ial
p
atter
n
m
in
i
n
g
.
A
s
eq
u
e
n
tia
l
p
atter
n
m
i
n
in
g
i
s
a
d
ata
m
i
n
i
n
g
tas
k
t
o
f
in
d
p
atter
n
s
an
d
tr
en
d
s
w
h
ic
h
ar
e
u
n
k
n
o
w
n
i
n
p
r
ev
io
u
s
s
eq
u
e
n
ce
d
atab
ases
an
d
ca
n
b
e
ap
p
lied
as
a
p
r
ed
i
ctiv
e
m
o
d
el.
T
h
er
e
ar
e
s
ev
er
al
r
esear
ch
o
n
s
eq
u
e
n
tial
p
at
ter
n
m
i
n
i
n
g
s
u
c
h
as
[
3
]
-
[
6
]
.
Mo
r
e
o
v
er
,
th
e
tr
ig
g
er
e
d
s
en
s
o
r
s
eq
u
e
n
ce
in
S
m
ar
t
Ho
m
e
is
an
a
l
y
ze
d
b
y
e
m
p
lo
y
i
n
g
s
eq
u
e
n
tial
p
atter
n
m
i
n
i
n
g
(
s
u
c
h
as
i
n
[
7
]
)
to
g
et
th
e
p
er
io
d
ical
r
esid
en
t
’
s
ac
ti
v
itie
s
p
atter
n
s
.
Fro
m
t
h
e
p
er
io
d
ic
p
atter
n
s
,
t
h
e
s
eq
u
e
n
ce
o
f
tr
i
g
g
er
ed
s
en
s
o
r
s
ac
co
r
d
in
g
to
t
h
e
r
e
s
id
en
t
ac
t
iv
iti
e
s
ar
e
g
en
er
ated
d
u
r
in
g
a
p
ar
ticu
lar
p
er
io
d
o
f
ti
m
e.
C
o
n
s
eq
u
en
tl
y
,
th
e
p
atter
n
s
ca
n
b
e
u
s
ed
f
o
r
m
an
y
ap
p
licatio
n
s
.
I
n
o
r
d
er
to
clar
if
y
th
e
t
i
m
e
p
er
io
d
o
f
r
esid
en
t
's ac
ti
v
ities
,
a
f
u
z
z
y
-
ti
m
e
-
i
n
ter
v
al
i
s
ap
p
lied
b
ased
o
n
len
g
th
ti
m
e
o
f
tr
ig
g
er
ed
s
e
n
s
o
r
s
eq
u
e
n
ce
.
M
o
r
eo
v
er
,
th
e
f
u
zz
y
ap
p
r
o
ac
h
is
ca
r
r
ied
o
u
t
to
f
in
d
p
er
io
d
ic
p
atter
n
s
b
ased
o
n
ti
m
e
s
eq
u
e
n
ce
,
w
h
ich
is
ca
lle
d
f
u
zz
y
-
ti
m
e
-
in
ter
v
al
p
er
io
d
ic
p
atter
n
s
.
A
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
p
er
io
d
ic
p
atter
n
r
ev
ea
ls
b
o
th
t
h
e
s
eq
u
e
n
ce
o
f
e
v
en
t
s
an
d
t
h
e
ti
m
e
in
ter
v
al
b
et
w
e
e
n
s
u
cc
es
s
iv
e
e
v
e
n
ts
.
Sev
er
al
r
esear
c
h
es
h
a
v
e
b
ee
n
co
n
d
u
cted
w
it
h
i
n
t
h
e
S
m
a
r
t
Ho
m
e
f
ield
s
.
Dete
ctio
n
t
h
e
d
ail
y
l
if
e
ac
tiv
itie
s
o
f
eld
er
l
y
r
esid
e
n
ts
(
A
D
L
)
u
s
ed
E
x
te
n
d
ed
ep
is
o
d
es
o
f
Di
s
co
v
er
y
(
x
E
D)
alg
o
r
i
th
m
to
o
b
tai
n
t
h
eir
p
er
io
d
icity
a
n
d
v
ar
iab
ilit
y
f
r
o
m
s
e
v
er
al
d
if
f
er
e
n
t
d
atasets
[
8
]
.
A
S
m
ar
t
Ho
m
e
a
n
d
Am
b
i
en
t
A
s
s
is
ted
L
i
v
i
n
g
(
SHAAL
)
s
y
s
te
m
d
e
v
elo
p
ed
an
d
te
s
ted
i
n
a
r
ea
l
e
x
p
er
im
en
tal
h
o
m
e
ex
p
er
i
m
e
n
t
u
s
i
n
g
w
ir
eles
s
s
en
s
o
r
n
et
w
o
r
k
(
W
SN)
,
also
lin
k
ed
to
th
e
clo
u
d
n
et
w
o
r
k
o
n
t
h
e
I
n
ter
n
et
f
o
r
SH
AAL
s
y
s
te
m
[
9
]
.
B
y
m
a
k
i
n
g
a
m
o
n
ito
r
i
n
g
s
y
s
te
m
f
o
r
in
te
g
r
a
ted
h
o
m
e
n
et
w
o
r
k
m
a
n
a
g
e
m
e
n
t
b
ased
o
n
t
h
e
I
n
ter
n
et
o
f
T
h
in
g
s
,
a
p
r
o
b
le
m
o
n
ex
is
t
in
g
h
o
m
e
n
et
w
o
r
k
s
y
s
te
m
s
is
s
o
l
v
ed
[
1
0
]
.
Fu
r
t
h
er
m
o
r
e,
m
i
n
i
n
g
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
a
l
s
eq
u
e
n
tial
p
atter
n
u
s
i
n
g
FP
-
Gr
o
w
t
h
–
P
r
ef
ix
Sp
an
al
g
o
r
ith
m
s
h
o
w
n
t
h
at
t
h
e
in
f
l
u
en
ce
o
f
m
in
i
m
u
m
s
u
p
p
o
r
t
ag
ain
s
t
p
atter
n
s
ar
e
f
o
u
n
d
an
d
ca
n
b
e
a
co
n
s
id
er
ati
o
n
in
b
u
s
in
e
s
s
p
r
o
ce
s
s
es a
n
al
y
s
is
[
1
1
]
o
r
o
th
er
ap
p
licatio
n
s
.
I
n
th
i
s
p
ap
er
,
w
e
p
r
o
p
o
s
ed
a
n
alg
o
r
it
h
m
t
h
at
is
i
n
te
g
r
ated
b
et
w
ee
n
m
i
n
i
n
g
s
eq
u
en
t
ial
p
atter
n
s
a
n
d
f
u
zz
y
ap
p
r
o
ac
h
.
Ou
r
p
r
o
p
o
s
ed
alg
o
r
ith
m
ca
lled
as
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
p
er
io
d
ic
p
att
er
n
s
m
i
n
i
n
g
.
Ou
r
co
n
tr
ib
u
tio
n
is
to
s
u
p
p
o
r
t
d
ec
is
io
n
m
a
k
i
n
g
t
h
at
is
r
elate
d
t
o
ac
tiv
it
y
r
ec
o
g
n
itio
n
in
S
m
a
r
t
Ho
m
e
b
ased
o
n
p
er
io
d
ical
tim
e
i
n
ter
v
a
l.
2.
P
RE
L
I
M
I
NARY
2
.
1
.
S
m
a
rt
ho
m
e
s
ens
o
r
da
t
a
T
h
e
d
ataset
co
llected
f
r
o
m
a
p
r
o
j
ec
t
o
n
C
AS
A
S
S
m
ar
t
Ho
m
e
[
1
2
]
.
C
A
S
A
S
p
r
o
j
ec
t
tr
ea
ted
th
e
en
v
ir
o
n
m
e
n
t
as
t
h
e
i
n
tel
lig
e
n
t
ag
e
n
ts
.
T
h
e
s
tat
u
s
o
f
r
es
id
en
ts
an
d
t
h
e
p
h
y
s
ical
s
u
r
r
o
u
n
d
in
g
s
ar
e
p
er
ce
iv
ed
u
s
i
n
g
s
e
n
s
o
r
s
a
n
d
en
v
ir
o
n
m
en
t a
cts u
p
o
n
u
s
in
g
t
h
e
co
n
tr
o
lle
r
to
i
m
p
r
o
v
e
th
e
co
m
f
o
r
t,
s
a
f
et
y
,
an
d
p
r
o
d
u
ctiv
i
t
y
o
f
th
e
r
esid
en
t
s
[
1
2
]
.
S
m
ar
t
Ho
m
e
s
e
n
s
o
r
d
ataset
o
f
C
A
S
A
S
p
r
o
j
ec
t
ca
n
b
e
ac
ce
s
s
ed
at
h
ttp
://ca
s
as.
w
s
u
.
ed
u
/d
ata
s
ets/
.
2
.
2
.
Da
t
a
m
ini
ng
a
n
d
k
no
w
ledg
e
dis
co
v
er
y
in da
t
a
ba
s
e
Data
m
i
n
i
n
g
i
s
th
e
p
r
o
ce
s
s
o
f
ex
tr
ac
ti
n
g
th
e
i
m
p
o
r
tan
t
p
at
ter
n
s
f
r
o
m
lar
g
e
a
m
o
u
n
ts
o
f
d
ata.
Data
m
i
n
in
g
is
o
n
e
s
tep
i
n
th
e
p
r
o
ce
s
s
o
f
K
n
o
w
led
g
e
D
is
co
v
er
y
i
n
Data
b
ase
s
(
KDD)
,
w
h
ic
h
i
s
to
f
in
d
a
u
s
ef
u
l
in
f
o
r
m
atio
n
a
s
w
ell
a
s
t
h
e
ex
i
s
tin
g
p
atter
n
s
i
n
th
e
d
ata.
Dat
a
m
i
n
in
g
i
s
also
d
ef
i
n
ed
as
a
p
r
o
ce
s
s
w
h
ic
h
u
s
e
s
th
e
v
ar
iet
y
o
f
d
ata
a
n
al
y
s
is
to
o
l
to
f
in
d
p
atter
n
s
a
n
d
r
elatio
n
s
h
ip
s
.
T
h
en
,
t
h
e
d
ata
ca
n
b
e
u
s
ed
to
m
a
k
e
ex
ac
t
p
r
ed
ictio
n
s
.
T
h
er
e
ar
e
t
w
o
k
e
y
s
to
s
u
cc
es
s
i
n
d
ata
m
in
i
n
g
,
w
h
ic
h
ar
e
ac
cu
r
ac
y
f
o
r
m
u
la
s
f
o
r
a
p
r
o
b
lem
to
b
e
s
o
lv
ed
an
d
th
e
ap
p
r
o
p
r
iate
u
s
e
o
f
d
ata.
T
h
e
g
en
er
al
ch
ar
ac
ter
is
tics
o
f
d
ata,
w
h
ic
h
is
to
b
e
an
al
y
ze
d
ar
e
as
f
o
llo
w
s
[
1
3
]
:
1
)
A
lar
g
e
a
m
o
u
n
t
o
f
d
ata;
2
)
Data
i
s
i
n
co
m
p
lete,
t
h
en
cle
an
i
n
g
p
r
o
ce
s
s
is
n
ec
es
s
ar
y
;
3
)
C
o
m
p
le
x
d
ata
s
tr
u
ct
u
r
es.
T
h
er
e
ar
e
s
ev
er
al
s
tep
s
i
n
t
h
e
K
DD
s
u
c
h
as see
n
i
n
Fi
g
u
r
e
1.
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
3
7
4
–
3
3
8
5
3376
Fig
u
r
e
1
.
Kn
o
w
led
g
e
d
is
co
v
er
y
in
d
atab
ase
2
.
3
.
Sequ
ent
ia
l pa
t
t
er
n a
nd
perio
dic pa
t
t
er
n
A
s
eq
u
e
n
tial
p
atter
n
is
a
l
is
t
o
f
t
h
e
o
r
d
er
s
e
t
o
f
ite
m
s
.
A
s
eq
u
en
t
ial
p
atter
n
d
e
f
i
n
ed
as
an
i
n
s
ta
n
ce
B
in
an
ac
ti
v
e
p
r
o
ce
s
s
p
af
ter
th
e
co
m
p
letio
n
o
f
i
n
s
ta
n
ce
A
at
p
.
A
s
eq
u
e
n
ce
is
ca
lled
a
s
eq
u
en
tial
p
atter
n
i
n
s
eq
u
en
ce
d
atab
ase
S
if
th
at
is
s
p
ec
i
f
ied
b
y
th
e
u
s
er
as
[
1
1
]
.
P
er
io
d
ic
p
atter
n
is
a
p
atter
n
t
h
at
ap
p
ea
r
ed
p
er
i
o
d
ically
o
v
er
t
i
m
e
i
n
a
ti
m
e
s
er
ies
d
atab
ase
(
ev
en
t)
.
A
f
u
ll
p
er
io
d
ic
p
atter
n
i
s
a
p
atter
n
w
h
er
e
e
v
er
y
p
o
s
it
io
n
i
n
th
e
p
atter
n
ex
h
ib
it
s
t
h
e
p
er
io
d
ici
ty
.
P
er
io
d
ic
p
atter
n
s
in
w
h
ic
h
o
n
e
o
r
m
o
r
e
ele
m
en
t
s
d
o
n
o
t
ex
h
ib
it
th
e
p
er
io
d
icity
ar
e
ca
l
led
p
ar
tial
p
er
io
d
ic
p
atter
n
s
.
A
s
eq
u
en
c
e
is
s
aid
to
h
av
e
s
y
m
b
o
l
p
er
io
d
i
cit
y
if
at
least
o
n
e
s
y
m
b
o
l
is
r
ep
ea
ted
p
e
r
io
d
ically
.
A
p
atter
n
co
n
s
i
s
ti
n
g
o
f
m
o
r
e
th
an
o
n
e
s
y
m
b
o
l r
ep
ea
tin
g
w
it
h
th
e
s
a
m
e
p
er
io
d
icit
y
i
n
a
s
eq
u
en
ce
lead
s
to
s
eq
u
en
ce
p
er
io
d
icit
y
[
1
4
]
,
[
1
5
]
.
2
.
4
.
F
uzzy
s
y
s
t
e
m
a
n
d f
uzzy
-
t
i
m
e
-
inte
rv
a
l
Fu
zz
y
s
et
i
s
a
s
et
to
r
ep
r
esen
t
u
n
ce
r
tai
n
t
y
d
ata.
I
f
X
i
s
a
co
ll
ec
tio
n
o
f
o
b
j
ec
ts
d
en
o
ted
x
,
th
en
a
s
et
o
f
fu
z
z
y
A
in
X
is
th
e
p
air
s
ets
o
f
s
eq
u
en
ce
:
=
{(
,
(
)
)
|
}
,
(
)
is
ca
lled
a
f
u
n
c
tio
n
/d
e
g
r
ee
s
o
f
m
e
m
b
er
s
h
ip
o
r
m
e
m
b
er
s
h
ip
le
v
el
o
f
in
A
th
at
m
ap
s
X
to
m
e
m
b
er
s
h
ip
o
f
u
n
iv
er
s
e
s
p
ac
e
M
.
M
e
m
b
er
s
h
ip
f
u
n
ctio
n
is
a
f
u
n
ctio
n
t
h
at
s
h
o
w
s
t
h
e
m
ap
p
in
g
o
f
i
n
p
u
t
d
ata
p
o
in
t
s
i
n
to
d
eg
r
ee
s
o
f
m
e
m
b
er
s
h
ip
[
1
6
]
.
A
f
u
zz
y
i
n
ter
v
al
is
u
s
u
all
y
d
e
f
i
n
ed
th
r
o
u
g
h
t
h
e
f
u
n
ct
io
n
o
f
its
m
e
m
b
er
s
h
ip
.
A
f
u
n
ctio
n
to
m
ap
a
m
e
m
b
er
s
h
ip
b
ase
in
to
a
s
et
o
f
r
ea
l n
u
m
b
er
s
b
et
w
ee
n
0
an
d
1
.
Fu
zz
y
i
n
ter
v
al
i
f
t
h
at
ap
p
r
o
p
r
i
ates
w
it
h
th
e
m
e
m
b
er
s
h
ip
o
f
f
u
n
ct
io
n
f
is
:
B
asis
s
et
to
f
u
zz
y
-
ti
m
e
-
in
ter
v
al
is
t
h
e
ti
m
eli
n
e
r
ep
r
esen
ted
b
y
th
e
s
et
o
f
r
ea
l
n
u
m
b
er
s
.
I
n
th
i
s
ca
s
e
,
th
er
e
ar
e
t
w
o
t
h
i
n
g
s
t
h
at
ca
n
b
e
d
is
tin
g
u
is
h
ed
,
s
u
c
h
as
th
e
f
ir
s
t la
y
o
u
t o
f
t
h
e
i
n
ter
v
a
ls
i
s
cle
ar
l
y
k
n
o
w
n
a
n
d
th
e
se
co
n
d
lo
ca
tio
n
o
f
t
h
e
i
n
ter
v
a
l
is
n
o
t
k
n
o
w
n
,
y
et
li
m
i
ted
b
y
th
e
r
elat
io
n
s
h
ip
o
f
t
h
e
i
n
ter
v
al
an
d
ti
m
e
p
o
i
n
ts
.
I
n
f
o
r
m
a
tio
n
ab
o
u
t
th
e
ti
m
e
p
o
in
ts
d
is
c
u
s
s
ed
o
n
th
e
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
s
.
Fu
zz
y
-
ti
m
e
-
in
t
er
v
als
ill
u
s
tr
ate
t
h
e
d
is
tan
ce
o
r
th
e
d
if
f
er
en
ce
b
et
w
ee
n
t
w
o
ti
m
es.
I
f
t
h
e
t
w
o
ti
m
es
r
ep
r
esen
t
a
n
i
n
ter
v
al,
t
h
e
n
f
u
zz
y
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
r
ep
r
esen
ts
u
n
ce
r
tai
n
t
y
ab
o
u
t
t
h
e
len
g
t
h
o
f
th
e
in
te
r
v
al.
Fu
zz
y
-
t
i
m
e
-
i
n
ter
v
al
co
u
l
d
h
av
e
a
s
tr
u
ctu
r
e
w
h
ic
h
is
q
u
i
te
co
m
p
lex
w
i
th
m
an
y
d
i
f
f
er
e
n
t c
h
ar
ac
ter
i
s
tics
[
1
7
]
.
2
.
5
.
M
ini
ng
f
uzzy
t
im
e
inte
rv
a
l u
s
ing
F
P
-
g
ro
wt
h pre
f
ix
s
pa
n
a
lg
o
rit
h
m
B
asicall
y
,
w
e
e
m
p
lo
y
a
s
eq
u
e
n
tial p
atter
n
m
i
n
i
n
g
b
ased
o
n
[
1
7
]
to
m
in
e
t
h
e
p
er
io
d
ic
p
atter
n
.
I
n
m
o
r
e
d
etails,
s
ev
er
al
d
ef
in
i
tio
n
s
ar
e
d
escr
ib
ed
to
s
u
p
p
o
r
t
o
u
r
p
r
o
p
o
s
ed
alg
o
r
ith
m
.
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
Min
in
g
F
u
z
z
y
Time
I
n
terva
l P
erio
d
ic
P
a
tter
n
s
in
S
ma
r
t H
o
me
Da
ta
(
I
ma
m
Mu
kh
la
s
h
)
3377
Def
ini
t
io
n
2
.
1
:
A
s
eq
u
en
ce
is
r
ep
r
esen
ted
as
,
w
h
er
e
is
an
ite
m
a
n
d
s
tan
d
s
f
o
r
th
e
ti
m
e
at
w
h
ich
o
cc
u
r
s
,
an
d
f
o
r
.
Def
ini
t
io
n 2
.2
:
L
et
b
e
th
e
s
et
o
f
all
ite
m
s
a
n
d
{
|
}
b
e
th
e
s
et
o
f
all
li
n
g
u
i
s
tic
ter
m
s
.
A
s
eq
u
en
ce
is
f
u
zz
y
t
i
m
e
-
in
ter
v
al
s
eq
u
en
ce
i
f
f
o
r
an
d
f
o
r
.
Def
ini
t
io
n
2
.
3
:
L
et
b
e
a
s
eq
u
en
ce
an
d
b
e
a
f
u
zz
y
ti
m
e
-
i
n
ter
v
al
s
eq
u
e
n
ce
,
w
h
er
e
.
L
et
d
en
o
te
th
e
m
e
m
b
er
s
h
ip
d
eg
r
ee
o
f
ti
m
e
-
i
n
ter
v
al
v
alu
e
to
lin
g
u
i
s
tic
ter
m
.
Su
p
p
o
s
e
th
er
e
ar
e
lis
ts
o
f
in
d
e
x
e
s
in
,
d
en
o
ted
as
f
o
r
to
K,
ea
ch
o
f
w
h
ic
h
s
ati
s
f
ies
t
h
e
co
n
d
itio
n
o
f
,
th
en
is
f
u
zz
y
t
i
m
e
-
i
n
ter
v
al
s
u
b
s
eq
u
en
ce
o
f
w
it
h
d
eg
r
ee
if
t
h
e
f
o
l
lo
w
i
n
g
co
n
d
itio
n
s
h
o
ld
:
a.
f
o
r
an
d
.
b.
(
)
Def
ini
t
io
n
2
.
4
:
∑
A
f
u
zz
y
-
ti
m
e
-
in
ter
v
al
s
eq
u
en
ce
is
ca
lled
a
f
u
zz
y
-
ti
m
e
-
i
n
t
er
v
al
s
eq
u
e
n
tial
p
atter
n
o
r
a
f
r
eq
u
en
t
f
u
zz
y
ti
m
e
-
i
n
ter
v
al
s
eq
u
e
n
ce
if
th
e
s
u
p
p
o
r
t
in
is
g
r
ea
ter
th
an
o
r
eq
u
al
to
th
e
u
s
er
-
s
p
ec
if
ied
m
in
i
m
u
m
s
u
p
p
o
r
t.
A
f
u
zz
y
ti
m
e
-
in
ter
v
al
s
eq
u
e
n
tia
l
p
atter
n
w
it
h
le
n
g
t
h
k
i
s
r
e
f
er
r
ed
to
as
a
f
u
zz
y
k
-
ti
m
e
-
in
ter
v
al
s
eq
u
en
tial
p
atter
n
.
Af
ter
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
s
eq
u
e
n
tial
p
at
ter
n
o
b
tain
ed
,
d
o
a
s
ea
r
ch
f
o
r
p
er
i
o
d
i
c
p
atter
n
b
ased
o
n
th
e
p
r
ef
i
x
es
t
h
at
h
av
e
b
ee
n
u
s
ed
in
f
i
n
d
in
g
t
h
e
s
eq
u
en
t
ial
p
atter
n
w
h
ic
h
m
ee
ts
th
e
n
e
w
u
s
er
-
s
p
ec
if
ied
m
in
i
m
u
m
s
u
p
p
o
r
t.
T
h
e
s
tep
s
o
f
m
in
in
g
f
u
zz
y
ti
m
e
-
in
ter
v
al
s
eq
u
en
t
ial
p
atter
n
u
s
in
g
P
r
ef
ix
Sp
an
alg
o
r
ith
m
ar
e
as f
o
llo
w
s
[
1
7
]
:
a.
Dete
r
m
i
n
e
l
in
g
u
is
tic
ter
m
f
r
o
m
th
e
ti
m
e
in
ter
v
al
o
f
lin
g
u
is
tic
v
ar
iab
le,
th
en
f
in
d
th
e
d
eg
r
ee
o
r
v
alu
e
o
f
m
e
m
b
er
s
h
ip
t
h
r
o
u
g
h
a
m
e
m
b
e
r
s
h
ip
f
u
n
ctio
n
.
b.
B
u
ild
a
f
u
zz
y
-
ti
m
e
i
n
ter
v
al
s
e
q
u
en
ce
d
atab
ase.
c.
Fin
d
all
f
r
eq
u
e
n
t
ite
m
s
in
f
u
z
z
y
-
ti
m
e
in
ter
v
a
l
s
eq
u
e
n
ce
d
atab
ase,
s
o
t
h
at
d
is
co
v
er
ed
s
eq
u
en
tial
p
atter
n
o
f
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
le
n
g
th
-
1.
T
h
en
,
co
u
n
t
f
r
eq
u
e
n
cies
o
f
ea
ch
ite
m
i
n
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
s
eq
u
e
n
c
e
d
atab
ase.
A
l
l
ite
m
s
w
it
h
s
u
p
p
o
r
t
va
lu
e
≥
min
imu
m
s
u
p
p
o
r
t
ar
e
ele
m
e
n
ts
f
r
o
m
s
eq
u
en
tial
p
atter
n
le
n
g
t
h
-
1
.
Seq
u
en
t
ial
p
atter
n
le
n
g
t
h
-
1
o
b
tain
ed
ca
n
b
e
co
n
s
id
er
ed
as th
e
p
r
ef
ix
.
d.
Fo
r
s
ea
r
ch
s
p
ac
e
b
y
u
s
i
n
g
t
h
e
p
r
ef
ix
o
b
tain
ed
i
n
s
tep
1
.
T
h
e
p
r
ef
ix
w
i
ll
co
n
t
in
u
all
y
c
h
an
g
e
as
t
h
e
iter
atio
n
p
r
o
ce
s
s
o
f
f
i
n
d
in
g
a
s
eq
u
e
n
tial
p
atter
n
len
g
th
-
k
w
it
h
k
>
1
.
e.
T
o
s
ea
r
ch
s
p
ac
e
p
r
ef
i
x
1
,
g
et
s
u
b
s
ets
s
eq
u
e
n
tial
p
atter
n
u
s
in
g
p
r
o
j
ec
ted
s
eq
u
en
ce
d
atab
ase
f
u
zz
y
-
ti
m
e
-
in
ter
v
a
l
.
T
h
e
d
atab
ase
is
p
r
o
j
e
cted
f
o
r
m
ed
b
y
ta
k
in
g
th
e
s
u
f
f
ix
o
f
s
eq
u
en
ce
d
atab
ase
b
ased
p
r
ef
ix
o
b
tai
n
ed
in
th
e
p
r
ev
io
u
s
s
tep
.
T
h
en
,
ca
lcu
late
t
h
e
d
eg
r
ee
o
f
m
e
m
b
er
s
h
ip
o
f
ea
ch
ite
m
f
o
r
ea
ch
lin
g
u
is
t
ic
ter
m
i
n
th
e
d
atab
ase
p
r
o
j
ec
ted
s
eq
u
en
tial
f
u
zz
y
-
ti
m
e
-
in
ter
v
al.
Use
d
ef
in
itio
n
5
to
f
in
d
s
u
p
p
o
r
t
f
o
r
ea
ch
lin
g
u
i
s
ti
c
ter
m
.
Su
p
p
o
r
t
w
ith
lin
g
u
is
t
ic
t
er
m
s
g
r
ea
ter
th
a
n
o
r
eq
u
al
to
th
e
m
in
i
m
u
m
s
u
p
p
o
r
t
is
a
m
e
m
b
er
o
f
a
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
s
eq
u
en
t
ial
p
atter
n
le
n
g
th
-
2
.
T
h
en
,
m
a
k
e
a
s
eq
u
en
tial
p
atter
n
o
b
tai
n
ed
as
a
n
e
w
p
r
e
f
i
x
f
o
r
th
e
n
ex
t
s
ea
r
c
h
.
T
h
e
n
ex
t p
r
o
j
ec
te
d
d
atab
ases
es
tab
lis
h
ed
b
y
th
e
n
e
w
p
r
e
f
i
x
ar
e
g
e
n
er
ate
d
.
Ne
x
t,
d
o
t
h
e
s
ea
r
c
h
p
r
o
ce
s
s
is
r
ep
ea
ted
in
th
is
s
u
b
s
et.
f.
Do
a
s
ea
r
ch
f
o
r
o
th
er
p
r
ef
ix
e
s
s
eq
u
en
t
ial
p
atter
n
(
1
-
s
eq
u
en
t
ial
p
atter
n
len
g
t
h
)
an
d
a
s
ea
r
ch
p
r
o
ce
s
s
as
i
n
s
tep
3
.
3.
F
U
Z
Z
Y
-
T
I
M
E
I
N
T
E
RV
AL
P
E
RIOD
I
C
P
AT
T
E
RN
M
I
NIN
G
I
n
th
i
s
s
ec
tio
n
,
p
er
io
d
ic
p
atter
n
s
f
r
o
m
s
m
ar
t
h
o
m
e
d
ata
b
y
c
o
n
s
id
er
in
g
th
e
tr
i
g
g
er
ed
s
en
s
o
r
s
eq
u
en
ce
ar
e
m
i
n
ed
b
y
i
n
co
r
p
o
r
atin
g
F
P
-
Gr
o
w
t
h
P
r
ef
ix
Sp
a
n
alg
o
r
ith
m
a
n
d
a
f
u
zz
y
-
ti
m
e
in
ter
v
a
l.
T
h
e
p
r
o
ce
d
u
r
es
to
o
b
tain
th
e
p
er
io
d
ic
p
atter
n
s
ar
e
b
y
f
o
r
m
i
n
g
t
h
e
f
ir
s
t
le
n
g
t
h
o
f
t
h
e
p
er
io
d
ic
p
atter
n
,
t
h
en
g
e
n
er
ated
th
e
2
-
len
g
t
h
p
er
io
d
ic
p
atter
n
b
y
co
n
s
id
er
in
g
t
h
e
g
i
v
en
f
u
zz
y
-
ti
m
e
i
n
ter
v
al.
Fu
r
t
h
er
m
o
r
e,
e
x
te
n
d
in
g
t
h
e
len
g
t
h
o
f
p
er
io
d
ic
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
3
7
4
–
3
3
8
5
3378
p
atter
n
s
u
n
ti
l
th
er
e
ar
e
n
o
ca
n
d
id
ates
p
atter
n
s
th
at
ar
e
s
atis
f
y
in
g
t
h
e
u
s
er
-
s
p
ec
if
ied
m
i
n
i
m
u
m
s
u
p
p
o
r
t
th
r
es
h
o
ld
.
T
h
e
f
o
llo
w
i
n
g
s
tep
s
ar
e
d
escr
ib
ed
m
o
r
e
d
etails:
a.
Min
i
n
g
1
-
L
en
g
t
h
P
er
io
d
ic
P
atter
n
Alg
o
r
it
h
m
T
h
e
1
-
len
g
t
h
p
er
io
d
ic
p
atter
n
s
m
i
n
ed
b
y
co
u
n
ti
n
g
t
h
e
n
u
m
b
er
o
f
ca
n
d
id
ate
ite
m
s
et
t
h
at
o
cc
u
r
s
i
n
ea
ch
r
o
w
s
s
eq
u
e
n
ce
s
in
t
h
e
s
e
q
u
en
ce
d
atab
ase.
An
ite
m
s
et
i
s
a
g
lo
b
al
ar
r
a
y
v
ar
iab
le
t
h
at
h
as
b
ee
n
d
e
f
in
ed
i
n
ad
v
an
ce
.
T
h
en
,
th
e
1
-
len
g
t
h
p
er
io
d
ic
p
atter
n
r
esu
lt
i
s
in
s
e
r
ted
in
to
a
tab
le
(
i.e
.
th
e
co
ll
ec
tio
n
o
f
p
er
io
d
ic
p
atter
n
s
to
r
ag
e
i
n
M
y
S
Q
L
)
th
a
t h
as b
ee
n
cr
ea
ted
o
n
th
e
d
atab
ase
ca
lled
as a
s
eq
u
e
n
ce
.
Mi
n
i
n
g
L
e
n
g
t
h
-
1
P
e
r
i
o
d
i
c
P
a
t
t
e
r
n
A
l
g
o
r
i
t
h
m
I
n
p
u
t
:
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
a
l
u
e
w
h
e
r
e
O
u
t
p
u
t
:
f
r
e
q
u
e
n
t
i
t
e
m
f
o
u
n
d
a
n
d
u
s
e
d
a
s
p
r
e
f
i
x
t
h
a
t
i
s
u
s
e
d
t
o
f
i
n
d
l
e
n
g
t
h
-
2
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
P
r
o
c
e
s
s
:
1.
I
n
p
u
t
:
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
a
l
u
e
2.
C
a
l
c
u
l
a
t
e
t
h
e
n
u
m
b
e
r
o
f
b
a
s
i
c
s
e
q
u
e
n
c
e
p
e
r
i
t
e
m
(
a
c
t
i
v
i
t
y
)
3.
C
a
l
c
u
l
a
t
e
s
u
p
p
o
r
t
v
a
l
u
e
p
e
r
i
t
e
m
i
n
b
a
s
i
c
s
e
q
u
e
n
c
e
u
s
i
n
g
4.
Wh
i
l
e
5.
I
n
s
e
r
t
i
t
e
m
a
n
d
s
u
p
p
o
r
t
v
a
l
u
e
i
n
t
o
d
a
t
a
b
a
s
e
6.
O
u
t
p
u
t
:
L
e
n
g
t
h
-
1
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
s
b.
Min
i
n
g
Su
b
s
e
ts
o
f
F
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
P
er
io
d
ic
P
atter
n
A
l
g
o
r
ith
m
Af
ter
f
in
d
i
n
g
th
e
1
-
le
n
g
th
p
er
io
d
ic
p
atter
n
s
,
w
e
m
in
ed
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
p
er
io
d
ic
p
atter
n
to
f
i
n
d
th
e
2
-
len
g
t
h
p
er
io
d
ic
p
atter
n
.
Hen
ce
,
t
h
e
l
in
g
u
is
tic
ter
m
s
h
o
u
ld
b
e
d
ef
i
n
ed
i
n
ad
v
an
ce
to
o
b
tain
t
h
e
p
er
io
d
ic
ter
m
s
.
W
e
d
en
o
ted
t
h
r
ee
li
n
g
u
is
tic
ter
m
s
,
w
h
ic
h
ar
e
"
s
h
o
r
t"
,
"
m
ed
iu
m
"
,
a
n
d
"
lo
n
g
"
-
ter
m
s
t
h
at
ar
e
r
ep
r
esen
ted
b
y
ea
ch
ti
m
e
i
n
ter
v
al
p
r
esen
t
ed
.
T
h
en
,
w
e
d
e
f
i
n
ed
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
s
f
o
r
ea
c
h
o
f
th
e
lin
g
u
is
ti
c
ter
m
s
a
s
f
o
llo
w
s
:
{
(
)
{
{
T
h
e
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
s
a
r
e
u
s
ed
to
ca
lc
u
late
t
h
e
m
e
m
b
er
s
h
ip
d
e
g
r
ee
o
f
f
u
zz
y
-
ti
m
e
i
n
ter
v
a
l
s
o
b
tain
ed
f
o
r
ea
ch
li
n
g
u
is
tic
t
er
m
s
g
iv
e
n
.
T
h
e
p
ar
a
m
eter
is
th
e
t
i
m
e
i
n
ter
v
al
o
f
t
h
e
d
ata
p
r
o
ce
s
s
ed
in
s
ec
o
n
d
s
.
B
esid
es
d
eter
m
i
n
i
n
g
m
e
m
b
er
s
h
ip
d
e
g
r
ee
o
f
f
u
z
z
y
-
ti
m
e
i
n
ter
v
al
s
,
m
i
n
in
g
th
e
2
-
le
n
g
t
h
p
er
io
d
ic
p
atter
n
s
is
n
ee
d
ed
f
r
o
m
t
h
e
r
esu
lt
s
o
f
t
h
e
1
-
len
g
t
h
p
er
io
d
ic
p
atter
n
.
B
ased
o
n
th
e
p
r
ev
io
u
s
l
y
g
e
n
er
ated
ca
n
d
id
ate
p
atter
n
as
th
e
p
r
ef
ix
,
th
e
p
r
o
j
ec
ted
d
atab
ase
o
r
lea
v
es
is
b
u
il
t
u
s
i
n
g
th
e
P
r
ef
ix
S
p
an
alg
o
r
ith
m
.
T
h
e
in
ter
v
a
l
ti
m
es
o
n
leav
e
s
ca
lc
u
late
d
b
y
t
h
e
d
e
g
r
ee
o
f
m
e
m
b
e
r
s
h
ip
f
u
n
ctio
n
s
th
a
t
alr
ea
d
y
d
ef
i
n
ed
b
ef
o
r
eh
a
n
d
.
Min
i
n
g
2
-
len
g
t
h
f
u
zz
y
-
ti
m
e
in
ter
v
al
p
er
io
d
ic
p
atter
n
,
p
ar
titi
o
n
in
g
s
ea
r
ch
s
p
ac
e
is
n
ee
d
ed
as
m
u
ch
as
1
-
len
g
t
h
p
er
io
d
ic
p
atter
n
s
th
at
h
av
e
b
ee
n
g
e
n
er
ated
b
ef
o
r
e.
T
h
e
p
r
o
ce
s
s
to
m
i
n
e
t
h
e
3
-
le
n
g
th
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
a
l
p
er
io
d
ic
p
atter
n
is
th
e
s
a
m
e
as
th
e
s
tep
s
to
m
i
n
e
t
h
e
2
-
le
n
g
t
h
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
p
er
i
o
d
ic
p
atter
n
an
d
th
e
p
r
ef
ix
is
th
e
2
-
le
n
g
th
f
u
zz
y
-
ti
m
e
-
in
ter
v
al
p
er
io
d
ic
p
atter
n
.
T
h
e
m
i
n
in
g
p
r
o
ce
s
s
co
n
t
in
u
e
d
u
n
til
th
e
x
-
le
n
g
th
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
p
er
io
d
ic
p
atter
n
f
o
u
n
d
an
d
s
to
p
p
ed
w
h
e
n
n
o
lo
n
g
er
p
er
io
d
ic
p
atter
n
s
ar
e
g
en
er
ated
to
b
e
u
s
ed
as t
h
e
p
r
ef
ix
.
T
h
er
e
ar
e
s
ev
er
al
s
to
p
p
in
g
co
n
d
itio
n
s
f
o
r
m
in
in
g
f
u
zz
y
-
ti
m
e
in
ter
v
al
p
er
io
d
ic
p
atte
r
n
s
in
t
h
e
P
r
ef
ix
Sp
an
a
lg
o
r
it
h
m
s
i
n
ce
n
o
o
n
e
ca
n
d
id
ate
p
er
io
d
ic
p
atter
n
t
h
at
m
ee
ts
t
h
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t.
T
h
e
s
to
p
p
in
g
co
n
d
itio
n
s
i
n
t
h
e
P
r
ef
ix
Sp
a
n
a
lg
o
r
ith
m
:
a.
I
f
n
o
lo
n
g
er
1
-
len
g
t
h
p
er
io
d
ic
p
atter
n
is
f
o
u
n
d
b.
I
f
all
th
e
s
u
p
p
o
r
t v
alu
e
s
f
r
o
m
x
-
len
g
t
h
p
er
io
d
ic
p
a
tter
n
s
w
i
t
h
d
o
n
o
t m
ee
t th
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t.
Mi
n
i
n
g
2
-
L
e
n
g
t
h
a
n
d
L
e
n
g
t
h
>
2
F
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
P
e
r
i
o
d
i
c
P
a
t
t
e
r
n
A
l
g
o
r
i
t
h
m
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
Min
in
g
F
u
z
z
y
Time
I
n
terva
l P
erio
d
ic
P
a
tter
n
s
in
S
ma
r
t H
o
me
Da
ta
(
I
ma
m
Mu
kh
la
s
h
)
3379
I
n
p
u
t
:
p
r
e
f
i
x
O
u
t
p
u
t
:
2
-
l
e
n
g
t
h
a
n
d
l
e
n
g
t
h
>2
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
s
P
r
o
s
e
s
:
1.
S
e
l
e
c
t
i
t
e
m
(
p
r
e
f
i
x
f
o
u
n
d
b
e
f
o
r
e
)
2.
S
e
l
e
c
t
t
i
m
e
i
n
t
e
r
v
a
l
s
e
q
u
e
n
c
e
b
a
s
i
c
c
o
n
t
a
i
n
e
d
t
h
e
s
e
l
e
c
t
e
d
i
t
e
m
(
p
r
e
f
i
x
)
3.
P
r
o
j
e
c
t
t
i
m
e
i
n
t
e
r
v
a
l
s
e
q
u
e
n
c
e
b
a
s
i
s
i
n
t
o
a
n
o
t
h
e
r
t
a
b
l
e
4.
F
i
n
d
p
r
e
f
i
x
i
n
e
a
c
h
s
e
q
u
e
n
c
e
t
u
p
l
e
5.
E
r
a
s
e
p
r
e
f
i
x
f
r
o
m
e
a
c
h
s
e
q
u
e
n
c
e
6.
I
n
s
e
r
t
i
n
t
o
t
a
b
l
e
p
r
o
j
e
c
t
e
d
7.
T
a
k
e
t
i
m
e
i
n
t
e
r
v
a
l
(
s
u
f
f
i
x
)
t
h
a
t
i
s
t
h
e
r
e
s
u
l
t
o
f
p
r
o
j
e
c
t
e
d
s
e
q
u
e
n
c
e
d
a
t
a
b
a
s
e
b
e
f
o
r
e
8.
C
a
l
c
u
l
a
t
e
l
i
n
g
u
i
s
t
i
c
t
e
r
m
o
f
e
a
c
h
i
t
e
m
b
a
s
e
d
o
n
t
i
m
e
i
n
t
e
r
v
a
l
9.
C
a
l
c
u
l
a
t
e
s
u
p
p
o
r
t
v
a
l
u
e
o
f
i
t
e
m
w
i
t
h
c
o
r
r
e
s
p
o
n
d
i
n
g
l
i
n
g
u
i
s
t
i
c
t
e
r
m
10.
B
u
i
l
d
l
e
n
g
t
h
-
2
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
i
n
t
o
s
h
a
p
e
<
p
r
e
f
i
x
,
l
i
n
g
u
i
s
t
i
c
t
e
r
m
,
a
c
t
i
v
i
t
y
s
o
o
n
)
11.
Wh
i
l
e
12.
I
n
s
e
r
t
i
n
t
o
d
a
t
a
b
a
s
e
13.
L
e
n
g
t
h
-
2
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
f
o
u
n
d
w
i
l
l
b
e
u
s
e
d
a
s
p
r
e
f
i
x
f
o
r
m
i
n
i
n
g
l
e
n
g
t
h
>2
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
14.
B
a
c
k
t
o
s
t
e
p
2
u
n
t
i
l
l
e
n
g
t
h
-
x
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
w
i
t
h
d
o
n
o
t
m
e
e
t
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
a
l
u
e
15.
B
a
c
k
t
o
s
t
e
p
7
u
n
t
i
l
a
l
l
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
s
f
r
o
m
s
e
l
e
c
t
e
d
p
r
e
f
i
x
i
s
f
o
u
n
d
16.
R
e
p
e
a
t
f
r
o
m
s
t
e
p
1
u
n
t
i
l
a
l
l
p
r
e
f
i
x
i
s
s
e
l
e
c
t
e
d
17.
O
u
t
p
u
t
:
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
c.
Min
i
n
g
Fu
zz
y
-
ti
m
e
-
in
ter
v
al
P
er
io
d
ic
P
atter
n
Af
ter
all
f
u
zz
y
-
t
i
m
e
-
i
n
ter
v
al
p
er
io
d
ic
p
atter
n
s
ar
e
o
b
tain
ed
,
p
er
io
d
ic
p
atter
n
s
ar
e
m
i
n
ed
b
y
g
etti
n
g
p
r
ef
ix
es
o
f
p
er
io
d
ic
p
atter
n
th
at
ar
e
m
et
t
h
e
u
s
er
-
s
p
ec
i
f
ied
m
i
n
i
m
u
m
s
u
p
p
o
r
t.
T
h
er
e
ar
e
tw
o
k
in
d
s
o
f
p
atter
n
th
at
w
ill
b
e
s
o
u
g
h
t
o
n
a
p
er
io
d
ic
p
atter
n
o
b
tain
ed
i.e
.
p
er
io
d
ic
p
atter
n
s
in
g
e
n
er
al
o
r
p
er
i
o
d
ic
p
atter
n
s
w
it
h
o
u
t
o
r
w
ith
co
n
s
id
er
in
g
t
h
e
li
n
g
u
is
tic
ter
m
o
f
p
er
io
d
ic
p
atter
n
s
.
Mi
n
i
n
g
F
u
z
z
y
-
t
i
m
e
i
n
t
e
r
v
a
l
P
e
r
i
o
d
i
c
P
a
t
t
e
r
n
A
l
g
o
r
i
t
h
m
I
n
p
u
t
:
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
a
l
u
e
w
h
e
r
e
O
u
t
p
u
t
:
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
P
r
o
c
e
s
s
:
1.
I
n
p
u
t
:
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
a
l
u
e
2.
S
e
l
e
c
t
p
r
e
f
i
x
t
h
a
t
a
p
p
e
a
r
s
f
r
e
q
u
e
n
t
l
y
i
n
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
3.
C
a
l
c
u
l
a
t
e
s
u
p
p
o
r
t
v
a
l
u
e
o
f
p
r
e
f
i
x
4.
Wh
i
l
e
5.
I
n
s
e
r
t
p
r
e
f
i
x
a
s
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
a
n
d
s
u
p
p
o
r
t
v
a
l
u
e
i
n
t
o
d
a
t
a
b
a
s
e
6.
O
u
t
p
u
t
:
f
u
z
z
y
-
t
i
m
e
-
i
n
t
e
r
v
a
l
p
e
r
i
o
d
i
c
p
a
t
t
e
r
n
s
4.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
4
.
1
.
P
re
-
pro
ce
s
s
ing
da
t
a
W
e
ap
p
ly
s
en
s
o
r
d
ata
f
r
o
m
a
s
in
g
le
-
r
esid
e
n
t
S
m
ar
t
Ho
m
e,
w
h
ic
h
i
s
d
en
o
ted
b
y
H
H1
2
3
[
2
]
w
it
h
a
ti
m
e
p
er
io
d
o
f
2
Ma
r
ch
–
1
A
p
r
il
2
0
1
3
.
I
n
th
is
s
tep
,
w
e
n
ee
d
to
clea
n
th
e
d
ata
an
d
tr
an
s
f
o
r
m
t
h
e
d
ata
in
to
s
eq
u
en
ce
f
o
r
m
.
O
n
th
e
d
atab
ase
tab
le,
th
er
e
ar
e
f
iv
e
co
lu
m
n
s
w
h
ic
h
ar
e
d
ate
an
d
ti
m
e
co
lu
m
n
s
d
escr
ib
ed
th
e
ti
m
e
o
f
tr
ig
g
er
ed
s
e
n
s
o
r
,
s
e
n
s
o
r
id
co
lu
m
n
ex
p
lai
n
ed
th
e
id
en
ti
f
ier
o
f
5
8
s
e
n
s
o
r
s
,
s
en
s
o
r
s
tate
co
l
u
m
n
in
d
icate
d
t
h
e
s
tate
o
f
tr
i
g
g
er
ed
s
en
s
o
r
(
i.e
.
ON)
o
r
n
o
t
(
i.e
.
OFF),
a
n
d
a
co
lu
m
n
t
h
at
i
s
p
o
in
ted
o
u
t
t
h
e
3
1
r
esid
en
t
’
s
ac
ti
v
it
y
in
S
m
ar
t
Ho
m
e.
T
h
e
to
tal
n
u
m
b
er
o
f
r
ec
o
r
d
s
in
th
e
d
atab
as
e
is
th
e
1
5
4
,
0
6
9
r
ec
o
r
d
.
T
h
er
ea
f
ter
,
th
e
d
ata
h
av
e
b
ee
n
clea
n
in
g
in
MS.
E
x
ce
l
an
d
s
a
v
ed
in
"
.
csv
"
f
o
r
m
at
i
n
o
r
d
er
t
o
b
e
im
p
o
r
ted
in
to
DB
MS
M
y
SQ
L
.
W
e
n
a
m
ed
t
h
e
d
atab
ase
w
it
h
n
a
m
e
"
s
en
s
o
r
"
an
d
tab
le
f
o
r
th
e
d
ata
w
it
h
n
a
m
e
"
s
en
s
o
r
_
r
a
w
"
.
Fig
u
r
e
2
is
th
e
d
is
p
la
y
o
f
tab
le
s
en
s
o
r
_
r
a
w
i
n
t
h
e
d
atab
ase.
B
ef
o
r
e
th
e
d
ataset
tr
an
s
f
o
r
m
e
d
in
to
s
eq
u
en
ce
d
atab
ase,
p
r
e
-
p
r
o
ce
s
s
in
g
s
tep
f
o
r
th
e
d
ata
in
M
y
SQ
L
i
s
n
ec
es
s
ar
y
i
n
o
r
d
er
to
f
ac
ilit
at
e
th
e
p
r
o
ce
s
s
o
f
d
ata
m
in
in
g
.
Data
clea
n
i
n
g
h
a
s
d
o
n
e
in
MS.
E
x
ce
l
s
u
c
h
as
r
e
m
o
v
i
n
g
n
o
is
e
d
ata
al
s
o
ca
r
r
ied
o
u
t
th
e
ali
g
n
m
en
t
o
f
t
h
e
e
x
is
t
in
g
d
ate
f
o
r
m
ats
i
n
t
h
e
co
lu
m
n
-
d
ate
w
it
h
t
h
e
ap
p
r
o
p
r
iate
d
ate
f
o
r
m
at
i
n
M
y
SQL
t
h
at
i
s
"
y
y
y
y
-
mm
-
d
d
"
.
B
u
ild
in
g
a
s
eq
u
e
n
ce
d
atab
ase,
w
e
m
ad
e
t
w
o
n
e
w
tab
le
th
at
i
s
u
s
ed
i
n
a
s
to
r
ag
e
s
eq
u
en
ce
d
atab
ase
i
n
M
y
SQ
L
.
T
h
e
f
ir
s
t
n
e
w
tab
le
n
a
m
ed
"
s
en
s
o
r
_
b
ar
u
"
th
at
is
u
s
ed
as
a
d
atab
ase
r
ep
o
s
ito
r
y
,
w
h
ic
h
is
a
s
eq
u
en
ce
co
n
s
is
tin
g
o
f
a
S
m
ar
t
Ho
m
e
r
esid
en
t
ac
t
iv
i
ties
an
d
t
h
eir
ti
m
e
o
f
o
cc
u
r
r
e
n
ce
b
ased
o
n
c
h
an
g
es
s
e
n
s
o
r
s
tate
ac
co
r
d
in
g
to
th
e
co
r
r
esp
o
n
d
in
g
s
en
s
o
r
id
.
T
h
en
,
th
e
s
ec
o
n
d
n
e
w
tab
le
n
a
m
ed
"
s
en
s
o
r
_
b
ar
u
2
"
th
at
ac
ts
as
d
atab
ase
r
ep
o
s
ito
r
y
,
w
h
ic
h
is
a
s
eq
u
en
ce
co
n
s
i
s
ti
n
g
o
f
S
m
ar
t
Ho
m
e
r
esid
en
t
ac
ti
v
it
y
ch
an
g
es
w
i
th
a
ti
m
e
in
ter
v
a
l.
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
3
7
4
–
3
3
8
5
3380
T
h
e
tim
e
i
n
ter
v
al
m
ea
n
s
th
e
l
en
g
t
h
ti
m
e
o
f
th
e
s
e
n
s
o
r
tr
ig
g
er
ed
w
h
e
n
th
e
r
esid
en
t
s
tar
t
s
an
d
en
d
h
i
s
ac
tiv
it
y
.
Su
p
p
o
s
e
t
h
er
e
i
s
a
ch
an
g
e
o
f
s
en
s
o
r
s
tate
b
ased
o
n
ac
ti
v
it
y
"
Mo
r
n
i
n
g
_
Me
d
s
"
to
th
e
ac
ti
v
it
y
o
f
"
Sleep
_
A
ctiv
it
y
"
.
B
y
u
s
i
n
g
t
w
o
v
ar
iab
les,
t
h
e
f
ir
s
t
is
"
ti
m
e
2
"
as
v
ar
iab
les
th
at
h
o
ld
ti
m
e
v
alu
e
w
h
e
n
ac
ti
v
it
y
"
Sleep
_
A
ctiv
it
y
"
o
cc
u
r
r
ed
a
n
d
th
e
s
ec
o
n
d
v
ar
iab
le
i
s
"
ti
m
e1
"
as
th
e
v
ar
iab
le
t
h
at
h
o
ld
s
ti
m
e
v
alu
e
w
h
e
n
ac
tiv
it
y
"
Mo
r
n
in
g
_
Me
d
s
"
o
cc
u
r
r
ed
.
Her
e,
th
e
t
i
m
e
i
n
ter
v
al
co
n
s
id
er
ed
b
ased
o
n
t
h
e
n
ea
r
est
ac
ti
v
it
y
o
cc
u
r
r
en
ce
[
1
4
]
.
T
h
e
b
u
ild
in
g
p
r
o
ce
s
s
o
f
s
eq
u
e
n
ce
d
atab
ase
is
b
ased
o
n
t
h
e
d
ate
o
f
th
e
d
ata
r
ec
o
r
d
in
th
e
d
atab
ase.
T
h
is
t
y
p
e
o
f
s
e
n
s
o
r
is
ta
k
en
f
r
o
m
“
s
e
n
s
o
r
_
r
a
w
"
,
w
h
ic
h
i
s
d
en
o
ted
b
ef
o
r
e
t
h
e
s
en
s
o
r
t
y
p
e
in
s
er
ted
in
to
th
e
d
atab
ase.
Fig
u
r
e
2
Dis
p
la
y
o
f
T
ab
le
Data
R
a
w
a
n
d
Seq
u
e
n
ce
Data
b
ase
w
it
h
ti
m
e
i
n
te
r
v
al
i
n
M
y
SQ
L
4
.
2
.
Da
t
a
r
et
riev
a
l
Fro
m
Fig
u
r
e
2
ca
n
b
e
s
ee
n
th
at
a
u
s
er
ca
n
s
p
ec
if
y
t
h
e
m
in
i
m
u
m
s
u
p
p
o
r
t
v
alu
e.
W
h
ile
t
h
e
s
u
p
p
o
r
t
o
f
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
is
i
n
f
lu
e
n
ce
d
an
d
d
eter
m
in
ed
b
y
th
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t
to
g
et
a
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
s
eq
u
en
tial
p
atter
n
.
I
n
m
i
n
i
n
g
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
p
er
io
d
ic
p
atter
n
s
,
t
h
er
e
ar
e
s
e
v
er
al
s
tep
s
th
at
m
u
s
t
b
e
d
o
n
e
s
u
c
h
as d
ata
r
etr
iev
al
a
n
d
d
ata
m
i
n
in
g
.
4
.
3
.
Ana
ly
s
is
o
f
i
m
ple
m
ent
a
t
io
n r
esu
lt
s
a.
Dete
r
m
i
n
atio
n
v
al
u
e
an
d
in
f
l
u
en
ce
o
f
m
in
i
m
u
m
s
u
p
p
o
r
t
T
o
g
en
er
ate
a
f
u
zz
y
-
t
i
m
e
-
i
n
te
r
v
a
l
p
er
io
d
ic
p
atter
n
,
w
e
n
ee
d
to
d
ef
in
e
a
th
r
es
h
o
ld
,
w
h
ic
h
is
ca
lle
d
m
i
n
i
m
u
m
s
u
p
p
o
r
t.
T
h
e
v
alu
e
o
f
m
i
n
i
m
u
m
s
u
p
p
o
r
t
ai
m
ed
at
f
ilter
i
n
g
o
u
t
p
er
io
d
ic
p
atter
n
s
i
n
t
h
e
s
eq
u
en
c
e
d
atab
ase.
B
ased
o
n
th
e
s
u
p
p
o
r
t
v
alu
e
t
h
at
is
h
ig
h
d
u
e
to
th
e
t
er
m
s
o
f
a
p
atter
n
,
a
s
eq
u
en
ce
ca
lled
as
a
p
er
io
d
ic
p
atter
n
if
t
h
e
p
atter
n
h
ad
s
u
p
p
o
r
t v
alu
e
>
m
in
i
m
u
m
s
u
p
p
o
r
t
v
alu
e.
I
n
t
h
is
r
esear
ch
,
th
e
p
er
io
d
ic
p
atter
n
co
u
ld
b
e
m
in
ed
b
y
co
u
n
ti
n
g
t
h
e
t
i
m
e
i
n
ter
v
al
o
f
f
u
zz
y
m
e
m
b
er
s
h
ip
d
e
g
r
ee
an
d
u
s
i
n
g
th
e
P
r
ef
i
x
Sp
a
n
al
g
o
r
ith
m
.
M
o
r
eo
v
er
,
th
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t
ca
lled
o
p
ti
m
al
if
th
e
g
en
er
ated
s
eq
u
en
ce
co
n
ta
in
ed
al
m
o
s
t
all
ev
e
n
t
o
cc
u
r
r
en
ce
s
o
n
ch
a
n
g
i
n
g
s
e
n
s
o
r
s
t
ate
an
d
h
ad
a
h
i
g
h
s
u
p
p
o
r
t
v
alu
e.
T
h
is
r
esear
ch
u
s
ed
s
o
m
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t
i.e
.
0
.
3
,
0
.
5
,
0
.
7
,
an
d
1
.
0
f
o
r
m
i
n
in
g
f
u
zz
y
-
ti
m
e
-
in
ter
v
a
l
s
eq
u
e
n
ti
a
l
m
in
in
g
.
W
h
ile
o
n
a
p
er
io
d
ic
p
atter
n
m
in
i
n
g
,
w
e
u
s
ed
m
in
i
m
u
m
s
u
p
p
o
r
t
v
al
u
e
i.e
.
0
.
1
,
0
.
5
,
0
.
8
,
an
d
0
.
9
.
b.
R
elatio
n
s
h
ip
b
et
w
ee
n
m
in
i
m
u
m
s
u
p
p
o
r
t v
alu
e
w
it
h
s
eq
u
en
t
i
al
p
atter
n
A
t
th
is
s
tep
,
t
h
e
r
elatio
n
s
h
ip
b
et
w
ee
n
t
h
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
al
u
e
w
i
th
th
e
n
u
m
b
er
o
f
s
eq
u
en
tial
p
atter
n
s
f
o
u
n
d
is
e
x
p
lain
ed
.
T
h
e
v
ar
io
u
s
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
alu
e
s
ar
e
b
ein
g
u
s
ed
is
0
.
3
,
0
.
5
,
0
.
7
,
an
d
1
.
0
.
T
h
e
ex
p
er
i
m
e
n
t
r
es
u
lt
s
an
d
t
h
e
r
el
atio
n
s
h
ip
b
et
w
ee
n
th
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
alu
e
w
it
h
t
h
e
n
u
m
b
er
o
f
s
eq
u
en
tial
p
atter
n
s
g
e
n
er
ated
ar
e
d
ep
icte
d
in
T
ab
le
1
an
d
Fig
u
r
e
3
.
T
ab
le
1
.
R
elatio
n
s
h
ip
b
et
w
ee
n
Min
i
m
u
m
S
u
p
p
o
r
t
w
it
h
F
u
zz
y
-
T
i
m
e
-
I
n
ter
v
al
Seq
u
en
tial P
atter
n
M
i
n
i
m
u
m
S
u
p
p
o
r
t
S
e
q
u
e
n
t
i
a
l
P
a
t
t
e
r
n
s
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
Min
in
g
F
u
z
z
y
Time
I
n
terva
l P
erio
d
ic
P
a
tter
n
s
in
S
ma
r
t H
o
me
Da
ta
(
I
ma
m
Mu
kh
la
s
h
)
3381
Fig
u
r
e
3
.
R
elatio
n
s
h
ip
b
et
w
ee
n
m
i
n
i
m
u
m
s
u
p
p
o
r
t
w
ith
f
u
zz
y
ti
m
e
in
ter
v
al
s
eq
u
en
t
ial
p
att
er
n
Fro
m
Fi
g
u
r
e
3
,
s
h
o
w
th
at
th
e
n
u
m
b
er
o
f
g
en
er
ated
p
atter
n
s
i
s
m
o
n
o
to
n
o
u
s
d
o
w
n
.
T
h
e
lar
g
er
o
f
m
i
n
i
m
u
m
s
u
p
p
o
r
t v
al
u
e
t
h
at
is
s
p
ec
if
ied
b
y
t
h
e
u
s
er
m
ea
n
s
t
h
e
les
s
f
u
zz
y
-
ti
m
e
-
in
ter
v
al
s
eq
u
en
t
ial
p
atter
n
s
ar
e
f
o
u
n
d
.
I
n
o
th
er
w
o
r
d
s
,
th
e
v
al
u
e
o
f
t
h
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t
is
in
v
er
s
el
y
p
r
o
p
o
r
tio
n
al
to
th
e
r
esu
lti
n
g
s
eq
u
e
n
tia
l
p
atter
n
s
.
T
h
e
le
s
s
f
u
zz
y
-
t
i
m
e
-
in
ter
v
a
l
s
eq
u
en
tial
p
atter
n
i
s
f
o
u
n
d
w
h
e
n
t
h
e
v
al
u
e
o
f
t
h
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t
is
h
ig
h
er
d
u
e
to
t
h
e
g
r
o
w
i
n
g
n
u
m
b
er
o
f
s
eq
u
e
n
tial
p
atter
n
th
at
h
as
t
h
e
s
u
p
p
o
r
t
v
alu
e
u
n
d
er
th
e
m
in
i
m
u
m
s
u
p
p
o
r
t.
c.
R
elatio
n
s
h
ip
b
et
w
ee
n
m
in
i
m
u
m
s
u
p
p
o
r
t v
alu
e
w
it
h
p
er
io
d
ic
p
atter
n
Her
e,
th
e
r
elat
io
n
s
h
ip
b
et
w
ee
n
t
h
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t
w
i
th
p
er
io
d
ic
p
atter
n
s
f
o
u
n
d
is
d
i
s
c
u
s
s
ed
.
T
h
e
v
ar
io
u
s
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
alu
es
ar
e
b
ein
g
u
s
ed
is
0
.
1
,
0
.
5
,
0
.
8
,
an
d
0
.
9
.
T
h
e
ex
p
er
im
en
t
r
esu
lt
s
an
d
th
e
r
elatio
n
s
h
ip
b
et
w
ee
n
t
h
e
m
in
i
m
u
m
s
u
p
p
o
r
t
v
al
u
e
w
it
h
th
e
n
u
m
b
er
o
f
p
er
io
d
ic
p
atter
n
s
f
o
u
n
d
ar
e
d
escr
ib
ed
in
T
ab
le
2
an
d
Fig
u
r
e
4
.
T
ab
le
2
.
R
elatio
n
s
h
ip
b
et
w
ee
n
Min
i
m
u
m
S
u
p
p
o
r
t
w
it
h
F
u
zz
y
-
T
i
m
e
-
I
n
ter
v
al
P
er
io
d
ic
P
atte
r
n
M
i
n
i
m
u
m
S
u
p
p
o
r
t
P
e
r
i
o
d
i
c
P
a
t
t
e
r
n
s
Fig
u
r
e
4
.
R
elatio
n
s
h
ip
b
et
w
ee
n
m
i
n
i
m
u
m
s
u
p
p
o
r
t
w
ith
f
u
zz
y
ti
m
e
in
ter
v
al
p
er
io
d
ic
p
atter
n
Fro
m
Fi
g
u
r
e
4
,
d
e
m
o
n
s
tr
ated
th
at
t
h
e
n
u
m
b
er
o
f
g
e
n
er
ated
p
atter
n
s
is
m
o
n
o
to
n
o
u
s
d
o
w
n
.
T
h
e
lar
g
er
o
f
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
alu
e
th
at
is
s
p
ec
if
ied
b
y
t
h
e
u
s
er
m
e
an
s
th
e
le
s
s
f
u
zz
y
-
t
i
m
e
i
n
ter
v
al
p
er
io
d
ic
p
atter
n
s
ar
e
f
o
u
n
d
.
I
n
o
th
er
w
o
r
d
s
,
th
e
v
al
u
e
o
f
t
h
e
m
in
i
m
u
m
s
u
p
p
o
r
t
is
in
v
er
s
el
y
p
r
o
p
o
r
tio
n
al
to
th
e
r
esu
lti
n
g
p
er
io
d
ic
p
atter
n
s
.
T
h
e
less
f
u
zz
y
-
ti
m
e
in
ter
v
al
p
er
io
d
ic
p
a
tter
n
is
f
o
u
n
d
w
h
e
n
th
e
v
alu
e
o
f
th
e
m
in
i
m
u
m
s
u
p
p
o
r
t
is
h
ig
h
er
d
u
e
to
th
e
g
r
o
w
i
n
g
n
u
m
b
er
o
f
p
er
io
d
i
c
p
atter
n
th
at
h
as
t
h
e
s
u
p
p
o
r
t
v
alu
e
u
n
d
er
th
e
m
i
n
i
m
u
m
s
u
p
p
o
r
t.
4
.
4
.
Ana
ly
s
is
o
f
t
esting
da
t
a
a
nd
perio
dic pa
t
t
er
n
a.
An
al
y
s
i
s
o
f
s
eq
u
en
t
ial
p
atter
n
test
i
n
g
d
ata
B
ef
o
r
e
m
i
n
i
n
g
p
er
io
d
ic
p
atter
n
,
m
i
n
i
n
g
s
eq
u
e
n
tial
p
atter
n
o
f
th
e
tr
i
g
g
er
ed
s
e
n
s
o
r
in
t
h
e
S
m
ar
t
Ho
m
e
s
h
o
u
ld
b
e
d
o
n
e.
A
t
t
h
is
s
tep
,
s
h
o
w
i
n
g
t
h
e
r
es
u
lts
o
f
t
h
e
f
u
zz
y
-
ti
m
e
i
n
ter
v
al
s
eq
u
en
tia
l
p
atter
n
f
o
r
ea
ch
r
esid
en
t
ac
tiv
ities
b
ased
o
n
a
u
s
er
-
s
p
ec
i
f
ied
m
i
n
i
m
u
m
s
u
p
p
o
r
t.
T
h
e
g
en
er
ated
p
atter
n
s
ar
e
f
u
r
t
h
er
an
al
y
ze
d
to
p
r
o
v
id
e
in
f
o
r
m
atio
n
r
elate
d
to
th
e
p
atter
n
o
f
tr
ig
g
er
ed
s
en
s
o
r
th
at
ca
n
b
e
u
s
ed
as
th
e
m
ater
ial
to
f
i
n
d
th
e
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
3
7
4
–
3
3
8
5
3382
p
er
io
d
ic
p
atter
n
.
T
h
is
r
esear
ch
u
s
ed
f
o
u
r
m
in
i
m
u
m
s
u
p
p
o
r
t
i.e
.
,
,
,
an
d
.
Her
e
is
s
o
m
e
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
al
s
eq
u
e
n
tial p
atter
n
o
b
tain
ed
w
ith
m
i
n
i
m
u
m
s
u
p
p
o
r
t =
as sh
o
w
n
in
T
ab
le
3
.
T
ab
le
3
.
Fu
zz
y
-
t
i
m
e
-
i
n
ter
v
al
S
eq
u
en
tial P
atter
n
S
e
q
u
e
n
t
i
a
l
P
a
t
t
e
r
n
s
S
u
p
p
o
r
t
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
W
o
r
k
_
A
t
_
T
a
b
l
e
1
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
B
e
d
_
T
o
i
l
e
t
_
T
r
a
n
si
t
i
o
n
,
s
h
o
r
t
,
S
l
e
e
p
_
O
u
t
_
O
f
_
B
e
d
1
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
mi
d
d
l
e
,
Ea
t
_
A
c
t
i
v
i
t
y
0
,
3
6
7
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
L
e
a
v
e
_
H
o
m
e
,
l
o
n
g
,
E
n
t
e
r
_
H
o
me
0
,
4
2
4
B
e
d
_
T
o
i
l
e
t
_
T
r
a
n
si
t
i
o
n
,
l
o
n
g
,
Ev
e
n
i
n
g
_
M
e
d
s,s
h
o
r
t
,
W
o
r
k
_
A
t
_
T
a
b
l
e
1
T
o
i
l
e
t
_
A
c
t
i
v
i
t
y
,
l
o
n
g
,
En
t
e
r
t
a
i
n
_
G
u
e
st
s
,
sh
o
r
t
,
C
o
o
k
_
L
u
n
c
h
1
M
o
r
n
i
n
g
_
M
e
d
s,l
o
n
g
,
P
h
o
n
e
,
s
h
o
r
t
,
R
e
a
d
1
P
e
r
so
n
a
l
_
H
y
g
i
e
n
e
,
l
o
n
g
,
P
h
o
n
e
,
sh
o
r
t
,
L
e
a
v
e
_
H
o
me
1
W
a
t
c
h
_
T
V
,
l
o
n
g
,
P
h
o
n
e
,
sh
o
r
t
,
L
e
a
v
e
_
H
o
me
1
L
e
a
v
e
_
H
o
me
,
l
o
n
g
,
En
t
e
r
_
H
o
me
,
sh
o
r
t
,
C
o
o
k
_
L
u
n
c
h
1
b.
An
al
y
s
i
s
o
f
p
er
io
d
ic
p
atter
n
test
in
g
d
ata
P
er
io
d
ic
p
atter
n
s
ar
e
o
b
tain
ed
f
r
o
m
th
e
p
r
ef
ix
t
h
at
is
u
s
ed
in
m
i
n
i
n
g
f
u
zz
y
-
ti
m
e
in
ter
v
al
s
eq
u
en
tial
p
atter
n
b
ef
o
r
e.
P
r
ef
ix
w
ith
s
u
p
p
o
r
t v
alu
e
th
at
m
ee
t
s
th
e
u
s
er
-
s
p
ec
if
ied
m
in
i
m
u
m
s
u
p
p
o
r
t,
w
ill b
e
th
e
r
esu
lts
o
f
p
er
io
d
ic
p
atter
n
m
in
i
n
g
in
t
h
is
r
esear
ch
.
T
h
e
g
en
er
al
p
er
io
d
ic
p
atter
n
is
o
b
tain
ed
w
it
h
o
u
t
co
n
s
id
er
in
g
th
e
lin
g
u
i
s
tic
ter
m
o
n
t
h
e
s
eq
u
e
n
tial
p
atter
n
w
h
ile
th
e
s
p
ec
if
ic
p
er
io
d
ic
p
atter
n
is
o
b
tain
ed
b
y
co
n
s
id
er
in
g
t
h
e
lin
g
u
i
s
tic
ter
m
.
T
h
e
f
o
llo
w
i
n
g
ar
e
s
o
m
e
f
u
zz
y
-
ti
m
e
i
n
ter
v
al
p
er
io
d
ic
p
atter
n
s
o
f
th
e
tr
i
g
g
er
ed
s
en
s
o
r
i
n
S
m
ar
t
Ho
m
e.
T
h
is
r
esear
ch
u
s
ed
f
o
u
r
m
in
i
m
u
m
s
u
p
p
o
r
t v
alu
e
i.e
.
0
.
1
,
0
.
5
,
0
.
8
,
an
d
0
.
9
.
c.
An
al
y
s
i
s
o
f
g
e
n
er
al
p
e
r
io
d
ic
p
atter
n
Af
ter
t
h
e
o
b
s
er
v
atio
n
o
f
t
h
e
t
r
i
g
g
er
ed
s
e
n
s
o
r
s
eq
u
en
ce
d
ata
b
ased
o
n
S
m
ar
t
Ho
m
e
r
esid
en
t
ac
tiv
itie
s
,
w
e
f
o
u
n
d
r
esid
e
n
t
ac
ti
v
itie
s
w
h
ic
h
ar
e
o
f
te
n
h
ap
p
en
ed
s
e
q
u
en
tial
l
y
o
v
er
a
m
o
n
t
h
-
lo
n
g
p
er
io
d
o
f
ti
m
e.
T
h
e
p
er
io
d
ic
p
atter
n
s
w
er
e
f
o
u
n
d
w
it
h
th
e
h
i
g
h
est
s
u
p
p
o
r
t
v
al
u
e
is
1
.
0
.
So
m
e
g
e
n
er
at
ed
p
atter
n
s
ar
e
h
ad
t
h
e
s
a
m
e
s
u
p
p
o
r
t
v
alu
e.
Fro
m
th
e
p
atter
n
th
at
i
s
o
b
tain
ed
,
w
e
co
u
ld
p
r
ed
ict
w
h
at
ac
ti
v
ities
w
i
ll
b
e
u
n
d
er
tak
e
n
b
y
S
m
ar
t
Ho
m
e
r
esid
e
n
t
a
f
ter
p
er
f
o
r
m
i
n
g
o
f
p
ar
tic
u
lar
ac
ti
v
itie
s
.
Fo
r
an
i
n
s
ta
n
ce
,
t
h
e
ac
ti
v
it
y
o
f
"P
er
s
o
n
al
H
y
g
ie
n
e"
th
en
t
h
e
f
o
llo
w
-
u
p
ac
ti
v
it
y
t
h
at
m
a
y
o
cc
u
r
is
th
e
ac
tiv
it
y
o
f
"
P
h
o
n
e"
o
r
"
C
o
o
k
B
r
ea
k
f
as
t"
w
it
h
ea
c
h
o
f
it
s
s
u
p
p
o
r
t
v
alu
e
w
as
0
.
8
3
9
.
T
h
e
ab
o
v
e
ex
a
m
p
le
is
a
p
atter
n
o
f
ac
tiv
it
y
th
a
t
o
cc
u
r
s
at
r
eg
u
lar
in
ter
v
a
ls
(
p
er
io
d
ic)
an
d
is
o
f
te
n
f
o
u
n
d
i
n
s
eq
u
e
n
t
ial
p
atter
n
s
.
C
o
n
s
eq
u
en
tl
y
,
we
ca
n
p
r
ed
ict
S
m
ar
t
Ho
m
e
r
e
s
id
en
t
d
ail
y
ac
ti
v
it
y
s
eq
u
en
ce
b
ased
o
n
s
e
n
s
o
r
s
tat
e
ch
an
g
es b
y
l
o
o
k
in
g
at
t
h
e
p
er
io
d
ic
p
atter
n
s
as sh
o
w
n
in
T
ab
le
4
an
d
T
ab
le
5
.
T
ab
le
4
.
Gen
er
al
P
er
i
o
d
ic
P
atter
n
P
e
r
i
o
d
i
c
P
a
t
t
e
r
n
s
S
u
p
p
o
r
t
<
G
r
o
o
m,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
T
o
i
l
e
t
_
A
c
t
i
v
i
t
y
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
M
o
r
n
i
n
g
_
M
e
d
s,
Ea
t
_
A
c
t
i
v
i
t
y
>
0
,
1
2
9
<
D
r
e
ss,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
T
o
i
l
e
t
_
A
c
t
i
v
i
t
y
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
Ea
t
_
B
r
e
a
k
f
a
s
t
>
0
,
2
9
<
C
o
o
k
_
D
i
n
n
e
r
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
T
o
i
l
e
t
_
A
c
t
i
v
i
t
y
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
C
o
o
k
_
D
i
n
n
e
r
,
Ev
e
n
i
n
g
_
M
e
d
s>
0
,
4
1
9
<
Ev
e
n
i
n
g
_
M
e
d
s,
P
h
o
n
e>
0
,
7
1
<
G
r
o
o
m,
L
e
a
v
e
_
H
o
me
>
0
,
8
0
6
<
P
e
r
so
n
a
l
_
H
y
g
i
e
n
e
,
C
o
o
k
_
B
r
e
a
k
f
a
st
>
0
,
8
3
9
<
P
e
r
so
n
a
l
_
H
y
g
i
e
n
e
,
P
h
o
n
e
>
0
,
8
3
9
<
En
t
e
r
_
H
o
me
,
R
e
l
a
x
>
0
,
9
0
3
<
B
e
d
_
T
o
i
l
e
t
_
T
r
a
n
si
t
i
o
n
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
B
e
d
_
T
o
i
l
e
t
_
T
r
a
n
si
t
i
o
n
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
>
0
,
9
6
8
<
B
e
d
_
T
o
i
l
e
t
_
T
r
a
n
si
t
i
o
n
,
S
l
e
e
p
_
O
u
t
_
O
f
_
B
e
d
>
0
,
9
3
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
Min
in
g
F
u
z
z
y
Time
I
n
terva
l P
erio
d
ic
P
a
tter
n
s
in
S
ma
r
t H
o
me
Da
ta
(
I
ma
m
Mu
kh
la
s
h
)
3383
T
ab
le
5
.
Sp
ec
if
ic
P
er
io
d
ic
P
att
er
n
w
ith
L
i
n
g
u
i
s
tic
T
er
m
P
e
r
i
o
d
i
c
P
a
t
t
e
r
n
s
S
u
p
p
o
r
t
<
G
r
o
o
m,l
o
n
g
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
T
o
i
l
e
t
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
M
o
r
n
i
n
g
_
M
e
d
s,s
h
o
r
t
,
E
a
t
_
A
c
t
i
v
i
t
y
>
0
,
1
2
9
<
W
a
sh
_
D
i
n
n
e
r
_
D
i
s
h
e
s,l
o
n
g
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
T
o
i
l
e
t
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
T
o
i
l
e
t
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
R
e
a
d
,
s
h
o
r
t
,
P
e
r
so
n
a
l
_
H
y
g
i
e
n
e
>
0
,
2
5
8
<
D
r
e
ss,l
o
n
g
,
W
a
t
c
h
_
T
V
>
0
,
9
0
3
<
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
l
o
n
g
,
M
o
r
n
i
n
g
_
M
e
d
s,
sh
o
r
t
,
G
r
o
o
m,sh
o
r
t
,
M
o
r
n
i
n
g
_
M
e
d
s>
0
,
4
8
4
<
G
r
o
o
m,l
o
n
g
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
T
o
i
l
e
t
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
M
o
r
n
i
n
g
_
M
e
d
s,s
h
o
r
t
,
E
a
t
_
B
r
e
a
k
f
a
st
>
0
,
8
0
6
<
P
h
o
n
e
,
l
o
n
g
,
E
n
t
e
r
t
a
i
n
_
G
u
e
st
s>
0
,
8
3
9
<
P
h
o
n
e
,
l
o
n
g
,
Ev
e
n
i
n
g
_
M
e
d
s
>
0
,
8
3
9
<
P
h
o
n
e
,
l
o
n
g
,
W
a
sh
_
D
i
s
h
e
s>
0
,
8
3
9
<
M
o
r
n
i
n
g
_
M
e
d
s,l
o
n
g
,
W
o
r
k
_
A
t
_
T
a
b
l
e
>
0
,
9
0
3
<
B
e
d
_
T
o
i
l
e
t
_
T
r
a
n
si
t
i
o
n
,
l
o
n
g
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
,
sh
o
r
t
,
B
e
d
_
T
o
i
l
e
t
_
T
r
a
n
si
t
i
o
n
,
sh
o
r
t
,
S
l
e
e
p
_
A
c
t
i
v
i
t
y
>
0
,
9
6
8
d.
An
al
y
s
i
s
o
f
Sp
ec
i
f
ic
P
er
io
d
ic
P
atter
n
w
it
h
L
i
n
g
u
i
s
tic
T
er
m
W
h
en
s
p
ec
i
f
ic
p
er
io
d
ic
p
atter
n
s
w
er
e
f
o
u
n
d
,
w
e
p
r
ed
ict
th
e
f
o
llo
w
-
u
p
ac
ti
v
it
y
t
h
at
w
ill
o
cc
u
r
b
y
co
n
s
id
er
in
g
t
h
e
l
i
n
g
u
i
s
tic
ter
m
o
r
ti
m
e
in
ter
v
al
s
o
n
t
h
e
p
a
tter
n
.
Fo
r
ex
a
m
p
le,
th
e
ac
tiv
it
y
o
f
"
P
h
o
n
e"
,
w
it
h
"
lo
n
g
"
lin
g
u
i
s
tic
ter
m
t
h
er
e
ar
e
s
o
m
e
ac
tiv
it
ies
th
a
t
m
i
g
h
t
b
e
o
cc
u
r
r
ed
af
ter
th
at
b
y
th
e
S
m
ar
t
Ho
m
e
r
esid
en
t
ar
e
"E
n
ter
tain
G
u
est
s
"
,
"
E
v
en
i
n
g
Me
d
s
"
,
o
r
"
W
ash
d
is
h
es "
w
it
h
ea
c
h
s
u
p
p
o
r
t v
alu
e
is
0
.
8
3
9
.
T
h
o
s
e
ex
a
m
p
le
s
ab
o
v
e
ar
e
t
h
e
p
atter
n
o
f
ac
ti
v
it
y
t
h
at
o
cc
u
r
s
p
er
io
d
icall
y
a
n
d
o
f
te
n
f
o
u
n
d
in
s
eq
u
en
tial
p
atter
n
s
.
Fro
m
all
th
e
p
er
io
d
ic
p
atter
n
s
,
w
e
f
o
u
n
d
a
p
atter
n
w
it
h
t
h
e
h
i
g
h
e
s
t
s
u
p
p
o
r
t
v
al
u
e
i.e
.
0
.
9
6
8
.
T
h
e
h
ig
h
er
s
u
p
p
o
r
t
v
al
u
e
f
r
o
m
t
h
e
p
er
io
d
ic
p
atter
n
s
o
b
tain
ed
m
ea
n
s
th
e
m
o
r
e
o
f
ten
t
h
e
e
v
en
t
o
cc
u
r
s
ev
er
y
d
a
y
an
d
t
h
e
g
r
ea
ter
p
er
io
d
icity
o
f
p
atter
n
ap
p
ea
r
s
o
n
th
e
f
u
zz
y
-
ti
m
e
-
i
n
ter
v
a
l
s
eq
u
en
tial
p
atter
n
.
Ho
w
e
v
er
,
th
e
lo
w
er
s
u
p
p
o
r
t
v
alu
e
o
f
p
er
io
d
ic
p
atter
n
s
o
b
t
ain
e
d
m
ea
n
s
t
h
e
ev
e
n
t
s
til
l
h
ap
p
en
o
f
ten
b
u
t
n
o
t
d
ail
y
.
Fro
m
t
h
e
p
er
io
d
ic
p
atter
n
,
w
e
ca
n
o
b
s
er
v
e
t
h
e
p
atter
n
o
f
d
ail
y
r
esid
en
t
ac
ti
v
itie
s
.
I
f
t
h
er
e
is
a
c
h
an
g
e
in
th
e
p
atter
n
,
m
ea
n
s
t
h
at
t
h
er
e
w
a
s
an
er
r
o
r
o
cc
u
r
r
ed
,
p
o
s
s
ib
l
y
o
n
th
e
S
m
ar
t
Ho
m
e
r
es
id
en
t
o
r
o
n
t
h
e
s
e
n
s
o
r
its
el
f
s
u
c
h
as
th
e
r
esid
en
t
f
el
l
ill
o
r
w
as
in
j
u
r
ed
s
o
t
h
at
i
n
ter
f
er
e
w
i
th
h
i
s
ac
ti
v
it
y
o
r
an
er
r
o
r
o
cc
u
r
s
o
n
n
et
w
o
r
k
s
y
s
te
m
o
f
s
e
n
s
o
r
s
.
e.
C
o
m
p
ar
is
o
n
o
f
p
er
io
d
ic
p
atter
n
m
i
n
i
n
g
an
d
th
e
b
ase
lin
e
ap
p
r
o
ac
h
.
I
n
th
i
s
p
ar
t,
w
e
co
m
p
ar
ed
o
u
r
p
er
io
d
ic
p
att
er
n
r
esu
lt
w
it
h
th
e
b
aselin
e
ap
p
r
o
ac
h
s
u
c
h
as
a
s
s
o
ciatio
n
r
u
le
m
i
n
in
g
(
co
n
s
id
er
in
g
m
i
n
i
m
u
m
co
n
f
id
e
n
ce
t
h
r
esh
o
ld
i
s
9
5
%)
b
ased
o
n
t
h
e
n
u
m
b
er
o
f
g
en
er
ated
s
eq
u
e
n
ce
i
n
Fig
u
r
e
5
.
Fro
m
F
ig
u
r
e
5
,
t
h
e
n
u
m
b
er
o
f
g
e
n
er
ated
p
atter
n
s
is
d
ec
r
ea
s
ed
ag
ai
n
s
t
t
h
e
i
n
cr
ea
s
ed
m
i
n
i
m
u
m
s
u
p
p
o
r
t
v
alu
e
s
.
Ov
er
all,
t
h
e
n
u
m
b
er
o
f
g
en
er
ated
p
atter
n
s
f
o
r
ass
o
ciatio
n
r
u
le
m
i
n
in
g
i
s
less
t
h
an
p
er
io
d
ic
p
atter
n
m
i
n
i
n
g
,
co
n
v
i
n
ce
d
th
at
p
er
io
d
ic
p
atter
n
s
ar
e
b
etter
th
an
o
n
l
y
g
e
n
er
al
p
atter
n
s
t
o
ap
p
ly
o
n
ac
ti
v
it
y
r
ec
o
g
n
itio
n
in
S
m
ar
t H
o
m
e.
Fi
g
u
r
e
5
.
C
o
m
p
ar
is
o
n
b
et
w
ee
n
ass
o
ciatio
n
r
u
le
s
m
i
n
i
n
g
an
d
p
er
io
d
ic
p
atter
n
m
i
n
in
g
5.
CO
NCLU
SI
O
N
AND
F
UR
T
H
E
R
WO
RK
I
n
t
h
is
p
ap
er
,
FP
-
Gr
o
w
t
h
–
P
r
ef
ix
Sp
an
A
l
g
o
r
ith
m
m
o
d
if
i
ca
tio
n
h
as
b
ee
n
s
u
cc
e
s
s
f
u
ll
y
ap
p
lied
to
m
i
n
e
p
er
io
d
ic
p
atter
n
s
o
n
f
u
z
z
y
-
ti
m
e
in
ter
v
a
l
s
eq
u
e
n
tial
p
atter
n
s
.
T
h
e
f
u
zz
y
-
ti
m
e
in
ter
v
a
l
p
er
io
d
ic
p
atter
n
is
o
b
tain
ed
f
r
o
m
d
ata
s
en
s
o
r
o
f
S
m
ar
t H
o
m
e
HH1
2
3
.
Si
m
u
latio
n
r
esu
lts
s
h
o
w
t
h
at
s
o
m
e
in
ter
esti
n
g
p
er
io
d
ic
p
atter
n
s
ar
e
f
o
u
n
d
.
F
u
r
th
er
m
o
r
e,
m
i
n
i
n
g
f
u
zz
y
-
ti
m
e
i
n
ter
v
a
l
p
er
io
d
ic
p
atter
n
o
n
tr
i
g
g
er
ed
s
e
n
s
o
r
s
eq
u
en
ce
b
ased
o
n
r
e
s
id
en
t
ac
tiv
itie
s
i
s
f
o
u
n
d
t
h
e
Evaluation Warning : The document was created with Spire.PDF for Python.