I
AE
S
I
nte
rna
t
io
na
l J
o
urna
l o
f
Art
if
icia
l In
t
ellig
ence
(
I
J
-
AI
)
Vo
l.
7
,
No
.
4
,
Dec
em
b
er
201
8
,
p
p
.
179
~
184
I
SS
N:
2252
-
8938
,
DOI
: 1
0
.
1
1
5
9
1
/i
j
ai.
v
7
.i
4
.
p
p
1
79
-
1
84
179
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
JA
I
M
-
IT
RS:
M
a
th
e
m
a
tical M
o
del
f
o
r
Identi
ficatio
n of
Ta
nde
m
Repea
ts in
DN
A s
equence
Aj
a
y
K
u
m
a
r,
Su
nita
G
a
rhw
a
l
De
p
a
rt
m
e
n
t
o
f
Co
m
p
u
ter S
c
ien
c
e
a
n
d
E
n
g
in
e
e
rin
g
,
T
h
a
p
a
r
Un
iv
e
rs
it
y
,
P
a
ti
a
la
,
In
d
ia
Art
icle
I
nfo
AB
ST
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
J
u
l
11
,
2
0
1
8
R
ev
i
s
ed
Sep
t
15
,
2
0
1
8
A
cc
ep
ted
Sep
t
30
,
2
0
1
8
In
DN
A
,
tan
d
e
m
re
p
e
a
t
c
o
n
sist
s
o
f
tw
o
o
r
m
o
re
c
o
n
t
ig
u
o
u
s
c
o
p
ies
o
f
a
p
a
tt
e
rn
o
f
n
u
c
leo
ti
d
e
s.
T
a
n
d
e
m
re
p
e
a
ts
o
f
th
e
m
o
ti
f
a
re
u
se
f
u
l
in
m
a
n
y
a
p
p
li
c
a
ti
o
n
s
li
k
e
m
o
lec
u
lar
b
io
lo
g
y
(r
e
late
d
to
g
e
n
e
ti
c
in
f
o
rm
a
ti
o
n
o
f
in
h
e
rit
e
d
d
ise
a
se
s),
f
o
re
n
sic
m
e
d
icin
e
s,
DN
A
f
in
g
e
rp
rin
ti
n
g
a
n
d
m
o
lec
u
lar
m
a
rk
e
r
s
f
o
r
c
a
n
c
e
r.
V
a
rio
u
s
r
e
se
a
rc
h
e
rs
d
e
sig
n
e
d
f
o
r
m
a
l
m
o
d
e
ls
a
n
d
g
ra
m
m
a
rs
to
id
e
n
ti
fy
t
w
o
c
o
n
ti
g
u
o
u
s
c
o
p
ies
o
f
th
e
p
a
tt
e
rn
.
T
re
e
-
a
d
jo
i
n
in
g
g
ra
m
m
a
r
c
a
n
n
o
t
b
e
d
e
sig
n
e
d
f
o
r
k
-
c
o
p
y
lan
g
u
a
g
e
.
T
h
e
re
is a
n
e
e
d
to
d
e
sig
n
a
f
o
r
m
a
l
m
o
d
e
l
w
h
ich
w
il
l
w
o
rk
fo
r
m
o
re
th
a
n
tw
o
c
o
n
ti
g
u
o
u
s
c
o
p
ies
o
f
th
e
p
a
tt
e
rn
.
In
th
is
p
a
p
e
r,
w
e
h
a
v
e
d
e
sig
n
e
d
d
e
e
p
p
u
sh
d
o
w
n
a
u
to
m
a
ta
f
o
r
k
-
c
o
n
ti
n
u
o
u
s
c
o
p
ies
o
f
th
e
p
a
tt
e
rn
fo
r
2
k
.
T
h
e
p
ro
p
o
se
d
f
o
rm
a
l
m
o
d
e
l
w
il
l
a
lso
id
e
n
t
ify
th
e
tan
d
e
m
re
p
e
a
ts
w
it
h
o
u
t
sp
e
c
ify
in
g
th
e
p
a
tt
e
rn
a
n
d
it
s siz
e
.
K
ey
w
o
r
d
:
Dee
p
p
u
s
h
d
o
w
n
a
u
to
m
a
ta
DN
A
Fo
r
m
al
g
r
a
m
m
ar
K
-
co
p
y
la
n
g
u
a
g
e
T
an
d
em
r
ep
ea
ts
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
:
A
j
a
y
K
u
m
ar
,
Dep
ar
t
m
en
t o
f
C
o
m
p
u
ter
Scie
n
ce
an
d
E
n
g
i
n
ee
r
in
g
,
T
h
ap
ar
Un
iv
er
s
it
y
,
P
atiala,
I
n
d
ia.
E
m
ail: a
j
a
y
lo
u
r
a
@
g
m
ai
l.c
o
m
1.
I
NT
RO
D
UCT
I
O
N
Deo
x
y
r
ib
o
n
u
cleic
ac
id
(
DN
A)
is
a
n
u
cle
ic
ac
id
w
h
ic
h
co
n
s
is
t
s
o
f
g
e
n
etic
i
n
s
tr
u
ctio
n
s
u
s
ed
in
th
e
d
ev
elo
p
m
en
t
a
n
d
f
u
n
ctio
n
i
n
g
o
f
all
liv
i
n
g
o
r
g
a
n
is
m
s
a
n
d
v
i
r
u
s
es.
T
an
d
e
m
r
ep
ea
ts
in
DN
A
co
n
s
is
t
o
f
t
w
o
o
r
m
o
r
e
co
n
ti
g
u
o
u
s
co
p
ies
o
f
a
p
atter
n
o
f
n
u
cleo
tid
es.
R
ep
ea
tin
g
p
at
ter
n
s
ar
e
also
k
n
o
w
n
a
s
m
o
ti
f
s
.
T
h
e
m
o
tif
ca
n
o
cc
u
r
in
d
i
f
f
er
en
t
le
n
g
th
s
a
n
d
r
ep
etitio
n
s
ca
n
b
e
ex
ac
t
o
r
ap
p
r
o
x
i
m
ate
co
p
ies.
R
ep
ea
ts
o
f
t
h
e
m
o
ti
f
ar
e
class
if
ied
in
to
s
h
o
r
t
tan
d
e
m
r
ep
ea
ts
o
r
m
icr
o
s
at
ellites
(
le
n
g
th
1
0
o
r
s
h
o
r
ter
)
an
d
m
i
n
i
s
atellite
s
(
r
ep
ea
ts
o
f
1
0
-
6
0
n
u
c
leo
tid
es)
[
1
]
,
[
2
]
.
L
alio
ti
et
al.
[
3
]
an
d
W
r
en
et
al.
[
4
]
o
b
s
er
v
ed
th
at
t
h
e
r
ep
ea
ts
i
n
DN
A
s
eq
u
en
ce
as
s
o
ciate
d
w
it
h
t
h
e
n
eu
r
o
lo
g
ica
l
d
is
o
r
d
er
.
Hu
a
n
g
et
al.
[
5
]
,
R
ic
h
ar
d
et
al.
[
6
]
an
d
Mc
m
u
r
r
a
y
[
7
]
in
v
e
s
ti
g
ated
th
e
r
ep
ea
t
o
f
ta
n
d
e
m
r
ep
ea
ts
p
la
y
a
s
i
g
n
if
ic
an
t
r
o
le
in
th
e
f
o
r
m
atio
n
o
f
h
air
p
in
s
tr
u
ctu
r
es.
Mo
tiv
ated
b
y
t
h
e
ap
p
licatio
n
s
o
f
ta
n
d
e
m
r
e
p
ea
ts
i
n
D
NA
s
eq
u
e
n
ce
i
n
t
h
e
ar
ea
o
f
m
o
lecu
lar
b
io
lo
g
y
,
o
r
en
s
ic
m
ed
ici
n
es,
DN
A
f
i
n
g
er
p
r
in
tin
g
an
d
m
o
lec
u
lar
m
ar
k
er
s
f
o
r
ca
n
ce
r
[
8
]
-
[
1
1
]
,
in
th
is
p
ap
er
w
e
h
av
e
d
esig
n
ed
d
ee
p
p
u
s
h
d
o
w
n
au
to
m
ata
f
o
r
k
-
co
p
y
la
n
g
u
a
g
e.
R
elate
d
w
o
r
k
:
T
h
e
K
-
co
p
y
la
n
g
u
a
g
e
ca
n
b
e
d
escr
ib
ed
b
y
k
-
co
p
y
*
{
|
{
0
,
1
}
}
k
xx
.
Var
io
u
s
r
esear
c
h
er
s
ca
r
r
ied
o
u
t
w
o
r
k
to
r
ep
r
ese
n
t
ta
n
d
e
m
r
ep
ea
ts
u
s
in
g
f
o
r
m
al
g
r
a
m
m
ar
,
b
u
t
t
h
e
m
aj
o
r
li
m
ita
tio
n
o
f
th
e
ir
w
o
r
k
i
s
th
at
u
s
in
g
th
e
ir
f
o
r
m
al
g
r
a
m
m
ar
,
w
e
ca
n
ab
le
to
r
ec
o
g
n
iz
e
o
n
l
y
*
1
{
|
{
,
}
}
L
w
w
w
a
b
an
d
th
eir
g
r
a
m
m
ar
ca
n
n
o
t
g
en
er
ate
t
h
e
lan
g
u
ag
e
s
f
o
r
www
,
wwww
an
d
s
o
o
n
.
*
{
|
{
,
}
}
L
www
w
a
b
ca
n
n
o
t
b
e
g
e
n
er
ated
b
y
tr
ee
ad
jo
in
in
g
g
r
a
m
m
ar
[
1
2
]
.
Kal
r
a
an
d
Ku
m
ar
[
1
3
]
,
[
1
4
]
i
n
tr
o
d
u
ce
d
th
e
co
n
ce
p
t
o
f
f
u
zz
y
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
ata
an
d
d
eter
m
i
n
is
tic
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
ata.
Kalr
a
an
d
Ku
m
ar
[
1
5
]
d
esig
n
ed
th
e
s
tate
g
r
a
m
m
ar
an
d
d
ee
p
p
u
s
h
d
o
w
n
au
to
m
a
ta
f
o
r
T
an
d
em
r
ep
ea
ts
,
in
v
er
ted
r
ep
ea
ts
an
d
in
ter
lea
v
ed
r
ep
ea
ts
.
T
h
is
p
r
o
p
o
s
ed
ap
p
r
o
ac
h
w
o
r
k
f
o
r
a
s
u
b
s
et
o
f
ta
n
d
e
m
r
ep
ea
t
m
o
tif
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8938
IJ
-
AI
Vo
l.
7
,
No
.
4
,
Dec
em
b
e
r
201
8
:
1
7
9
–
1
8
4
180
I
n
s
p
ir
ed
b
y
v
ar
io
u
s
ap
p
licati
o
n
s
o
f
k
-
co
p
y
lan
g
u
ag
e,
a
g
en
er
alize
d
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
ato
n
h
a
s
b
ee
n
d
esig
n
ed
f
o
r
tan
d
e
m
r
ep
ea
t
m
o
tif
.
T
h
e
p
ap
er
is
o
r
g
an
ized
as
f
o
llo
w
s
:
I
n
Sec
tio
n
2
,
s
o
m
e
p
r
eli
m
in
ar
ie
s
co
n
ce
p
t
o
f
DN
A
,
ta
n
d
e
m
r
ep
ea
ts
an
d
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
ata
ar
e
g
iv
e
n
.
Sect
io
n
3
co
n
s
is
ts
o
f
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
ata
f
o
r
k
-
co
p
y
lan
g
u
a
g
es a
n
d
tan
d
e
m
r
ep
ea
ts
f
o
llo
w
ed
b
y
co
n
clu
s
io
n
s
in
s
e
ctio
n
4
.
2.
P
RE
L
I
M
I
NARIE
S
L
et
{
,
,
,
}
a
g
c
t
d
en
o
tes t
h
e
DN
A
a
lp
h
ab
et
.
P
u
r
in
es a
r
e
clas
s
i
f
ied
i
n
to
g
u
an
in
e
(
g
)
an
d
ad
en
i
n
e
a
,
w
h
er
ea
s
p
y
r
i
m
id
in
e
s
ar
e
cla
s
s
i
f
ied
in
to
u
r
ac
il
(
u
)
,
th
y
m
i
n
e
(
t
)
an
d
cy
to
s
in
e
(
c
)
.
P
air
in
g
o
cc
u
r
s
b
et
w
ee
n
p
y
r
i
m
id
i
n
es a
n
d
p
u
r
in
e
s
.
T
h
e
co
m
p
le
m
e
n
t o
f
a
s
y
m
b
o
l
a
is
r
ep
r
esen
ted
b
y
'
a
.
I
n
DN
A
,
'
'
'
,
,
,
c
g
g
c
a
t
an
d
'
ta
.
Dee
p
p
u
s
h
d
o
w
n
au
to
m
ato
n
is
a
f
o
r
m
al
m
o
d
el
to
r
ep
r
esen
t
cr
o
s
s
-
d
ep
en
d
e
n
cies
i
n
n
atu
r
al
a
n
d
f
o
r
m
al
la
n
g
u
a
g
es.
I
t is a
co
u
n
t
er
p
ar
t o
f
s
tate
g
r
a
m
m
ar
.
Def
.
1
:
A
d
ee
p
p
u
s
h
d
o
w
n
a
u
t
o
m
a
to
n
[
1
6
]
is
a
s
ep
tu
p
le
(
,
,
,
,
,
,
)
Q
s
S
R
F
w
h
er
e
Q
is
a
f
in
ite
s
et
o
f
s
tates,
is
an
alp
h
ab
et,
is
a
s
et
o
f
s
tac
k
s
y
m
b
o
l
s
u
ch
t
h
at
,
s
is
a
s
tar
t
s
ta
te,
S
is
a
s
tar
t
i
n
g
p
u
s
h
d
o
w
n
s
y
m
b
o
l,
R
is
a
tr
an
s
itio
n
r
elatio
n
d
ef
i
n
ed
b
y
(
(
(
{
#
}
)
)
R
N
Q
(
{
#}
)
Q
*
(
{#
}
(
{#
})
{#
})
N
Q
Q
an
d
F
is
a
s
et
o
f
f
in
al
s
tates
s
u
c
h
th
at
FQ
.
Her
e
#
(
)
is
a
s
p
ec
ial
s
y
m
b
o
l.
T
h
e
co
n
f
ig
u
r
atio
n
o
f
t
h
e
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
a
to
n
is
r
ep
r
esen
ted
b
y
**
(
{#
})
{#
}
Q
.
I
n
th
is
p
ap
er
,
w
e
h
av
e
m
ad
e
f
o
llo
w
i
n
g
ch
an
g
e
s
to
th
e
o
r
ig
i
n
al
d
ef
i
n
itio
n
o
f
t
h
e
d
ee
p
p
u
s
h
d
o
wn
au
to
m
ata
:
T
r
an
s
itio
n
r
elatio
n
R
is
d
ef
in
ed
b
y
(
(
(
{#
})
)
(
{#
})
R
N
Q
Q
{
0
,
1
}
)
*
(
{
}
{
#
}
(
{
#
}
)
{
#
}
{
0
,
1
}
)
(
{
0
}
{
}
{
0
,
1
}
)
N
Q
Q
Q
Q
.
T
h
e
s
u
b
-
r
elat
io
n
(
{
0
}
{
}
{
0
,1
}
QQ
ex
p
licit
l
y
r
ep
r
esen
ts
p
o
p
o
f
ter
m
i
n
al
s
y
m
b
o
l
f
r
o
m
th
e
to
p
o
f
th
e
s
tack
.
Her
e
{
0
,
1
}
r
ep
r
esen
t
w
h
e
t
h
er
th
e
R
/W
h
ea
d
r
e
m
ai
n
s
s
tatio
n
ar
y
o
r
p
o
in
t
to
t
h
e
s
y
m
b
o
l
o
n
th
e
i
n
p
u
t
tap
e.
T
er
m
in
al
s
y
m
b
o
l
p
r
ese
n
ted
o
n
to
p
o
f
t
h
e
s
tac
k
ar
e
co
n
s
id
er
ed
as
o
f
d
ep
th
0
,
w
h
er
ea
s
No
n
-
ter
m
i
n
als p
r
ese
n
ted
o
n
th
e
s
tac
k
ar
e
co
n
s
id
er
ed
as o
f
d
ep
th
1
,
2
,
3
an
d
s
o
o
n
.
W
e
h
av
e
ex
p
lici
tl
y
r
ep
r
esen
te
d
th
e
s
y
m
b
o
l r
ea
d
in
g
f
r
o
m
R
/
W
h
ea
d
.
E
x
a
m
p
le
1
:
Dee
p
p
u
s
h
d
o
w
n
a
u
to
m
ata
f
o
r
th
e
lan
g
u
a
g
e
{
|
,
0
}
n
m
n
m
L
a
b
c
d
n
m
2
0
1
2
3
4
0
(
{
,
,
,
,
,
},
{
,
,
,
},
{
,
,
,
,
,
,
#
},
,
,
{
},
)
ff
M
q
q
q
q
q
q
a
b
c
d
A
S
a
b
c
d
q
S
q
R
an
d
th
e
tr
an
s
i
tio
n
r
elatio
n
R
is
d
ef
in
ed
b
y
11
(
1
,
,
,
)
(
,
,
1
)
q
a
A
q
A
c
12
(
2
,
,
,
)
(
,
,
1
)
q
b
A
q
A
d
22
(
2
,
,
,
)
(
,
,
1
)
q
b
A
q
A
d
23
(
1
,
,
,
)
(
,
,
0
)
q
c
A
q
33
(
0
,
,
,
)
(
,
,
1
)
q
c
c
q
34
(
1
,
,
,
)
(
,
,
0
)
q
d
A
q
44
(
0
,
,
,
)
(
,
,
1
)
q
d
d
q
4
(
0
,
,
,
#
)
(
,
#
,
1
)
f
qq
Fo
r
in
p
u
t stri
n
g
w
aa
bb
bc
c
dd
d
0
1
1
1
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
q
a
a
b
b
b
c
c
d
d
d
S
q
a
a
b
b
b
c
c
d
d
d
A
A
q
a
b
b
b
c
c
d
d
d
A
c
A
q
b
b
b
c
c
d
d
d
A
c
c
A
2
2
2
3
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
q
b
b
c
c
d
d
d
A
c
c
A
d
q
b
c
c
d
d
d
A
c
c
A
d
d
q
c
c
d
d
d
A
c
c
A
d
d
d
q
c
c
d
d
d
c
c
A
d
d
d
3
3
4
4
4
4
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
q
c
d
d
d
c
A
d
d
d
q
d
d
d
A
d
d
d
q
d
d
d
d
d
d
q
d
d
d
d
q
d
d
q
(
,
,
#)
f
q
01
(
1
,
,
,
)
(
,
,
0
)
q
a
S
q
A
A
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
-
AI
I
SS
N:
2252
-
8938
M
-
I
TRS
:
Ma
th
ema
tica
l Mo
d
el
fo
r
I
d
en
tifi
ca
tio
n
o
f Ta
n
d
em
R
ep
ea
ts
in
DN
A
s
eq
u
en
ce
(
A
ja
y
K
u
ma
r
)
181
Def
.
2
:
A
s
ta
te
g
r
a
m
m
ar
is
a
q
u
in
tu
p
le
(
,
,
,
,
)
,
V
Q
S
P
w
h
er
e
V
is
a
to
tal
alp
h
ab
et,
Q
is
a
f
i
n
ite
s
et
o
f
s
tates,
is
an
alp
h
ab
et,
also
k
n
o
w
n
ter
m
i
n
al
s
y
m
b
o
l
s
u
ch
t
h
at
,
V
S
V
T
is
s
tar
t
s
y
m
b
o
l
an
d
P
is
a
f
i
n
ite
r
elatio
n
s
u
c
h
t
h
at
(
(
)
)
(
)
P
Q
V
Q
V
.
3.
DE
E
P
P
U
SH
DO
WN
AU
T
O
M
AT
A
F
O
R
T
ANDEM
RE
P
E
AT
S
I
n
th
is
s
ec
tio
n
,
w
e
w
ill
d
esig
n
d
ee
p
p
u
s
h
d
o
w
n
au
to
m
ata
f
o
r
k
-
co
p
y
lan
g
u
ag
e
an
d
tan
d
e
m
r
ep
ea
ts
in
DN
A
.
3
.
1
.
Dee
p
P
us
hd
o
w
n Aut
o
m
a
t
a
f
o
r
K
-
Co
py
L
a
ng
ua
g
e
Fig
u
r
e
1
r
ep
r
esen
ts
t
h
e
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
ata
f
o
r
k
-
co
p
y
lan
g
u
a
g
e.
I
n
d
ee
p
p
u
s
h
d
o
w
n
au
to
m
ata,
th
e
ele
m
en
t
ca
n
b
e
p
u
s
h
ed
o
n
to
a
d
ee
p
er
p
ar
t
o
f
th
e
s
tac
k
also
.
Dee
p
p
u
s
h
d
o
w
n
a
u
to
m
ata
r
ep
r
esen
ted
i
n
Fig
u
r
e
1
is
o
f
d
ep
th
2
,
w
h
ic
h
m
ea
n
s
t
h
at
at
a
p
ar
ticu
lar
p
o
in
t
o
f
ti
m
e,
t
w
o
to
p
m
o
s
t
n
o
n
-
ter
m
i
n
als
ca
n
b
e
ex
p
an
d
ed
.
Dee
p
P
u
s
h
d
o
w
n
a
u
to
m
ato
n
f
o
r
k
-
co
p
y
la
n
g
u
a
g
e
is
d
ef
i
n
ed
b
y
2
0
1
2
3
4
(
{
,
,
,
,
,
},
{
,
},
f
M
p
p
p
p
p
p
a
b
0
{
,
,
,
,
,
#},
,
,
{
},
)
f
S
A
B
a
b
p
S
q
R
w
h
er
e
th
e
tr
an
s
itio
n
r
elatio
n
R
is
d
ef
in
ed
b
y
:
00
(
1
,
,
,
)
(
,
,
0
)
p
a
S
p
A
B
00
(
1
,
,
,
)
(
,
,
0
)
p
b
S
p
A
B
00
(
2
,
,
,
)
(
,
1
)
p
a
B
p
a
B
00
(
2
,
,
,
)
(
,
,
1
)
p
b
B
p
b
B
01
(
1
,
,
,
)
(
,
,
0
)
p
a
A
p
01
(
1
,
,
,
)
(
,
,
0
)
p
b
A
p
12
(
0
,
,
,
)
(
,
,
1
)
p
a
a
p
12
(
0
,
,
,
)
(
,
,
1
)
p
b
b
p
13
(
1
,
,
,
)
(
,
,
0
)
p
b
B
p
B
C
13
(
1
,
,
,
)
(
,
,
0
)
p
a
B
p
B
C
31
(
0
,
,
,
)
(
,
,
0
)
p
a
B
p
31
(
0
,
,
,
)
(
,
,
0
)
p
b
B
p
34
(0
,
,
,
)
(
,
,
0
)
p
a
a
p
34
(0
,
,
,
)
(
,
,
0
)
p
b
b
p
43
(
2
,
,
,
)
(
,
,
1
)
p
a
C
p
a
C
0
p
1
,
,
|
,
0
a
S
AB
1
,
,
|
,
0
b
S
AB
2
,
,
|
,
1
a
B
aB
2
,
,
|
,
1
b
B
bB
1
,
,
|
,
0
aA
1
,
,
|
,
0
bA
1
p
2
p
0
,
,
|
,
1
aa
0
,
,
|
,
1
bb
0
,
,
|
,
1
bb
0
,
,
|
,
1
aa
f
p
3
p
4
p
1
,
,
|
,
0
a
B
BC
1
,
,
|
,
0
b
B
B
C
0
,
,
|
,
0
aB
0
,
,
|
,
0
bB
0
,
,
|
,
0
aa
0
,
,
|
,
0
bb
2
,
,
|
,
1
a
C
aC
2
,
,
|
,
1
b
C
bC
0
,
$,
|
,
0
B
0
,
$,
|
,
0
C
Fig
u
r
e
1
.
Dee
p
p
u
s
h
d
o
w
n
a
u
t
o
m
a
ta
f
o
r
k
-
co
p
y
la
n
g
u
a
g
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8938
IJ
-
AI
Vo
l.
7
,
No
.
4
,
Dec
em
b
e
r
201
8
:
1
7
9
–
1
8
4
182
43
(
2
,
,
,
)
(
,
,
1
)
p
b
C
p
b
C
22
(
0
,
,
,
)
(
,
,
1
)
p
b
b
p
22
(0
,
,
,
)
(
,
,
1
)
p
a
a
p
2
(
0
,
,
$
,
)
(
,
,
0
)
f
p
B
p
2
(
0
,
,
$
,
)
(
,
,
0
)
f
p
C
p
Der
iv
atio
n
o
f
th
e
s
tr
in
g
,
.
w
ab
ab
ab
0
0
0
0
1
(
,
,
)
(
,
,
)
(
,
,
)
(
,
,
)
(
,
,
)
p
a
b
a
b
a
b
S
p
a
b
a
b
a
b
A
B
p
b
a
b
a
b
A
a
B
p
a
b
a
b
A
a
b
B
p
a
b
a
b
abB
3
4
3
4
3
(
,
,
)
(
,
,
)
(
,
,
)
(
,
,
)
(
,
,
)
p
a
b
a
b
a
b
B
C
p
a
b
a
b
b
B
C
p
b
a
b
b
B
a
C
p
b
a
b
B
a
C
p
a
b
B
a
b
C
1
2
2
(
,
,
)
(
,
,
)
(
,
,
)
(
,
,
)
f
p
a
b
a
b
C
p
b
b
C
p
C
p
C
3
.
2
.
Dee
p
P
us
hd
o
w
n Aut
o
m
a
t
a
f
o
r
T
a
nd
e
m
Repea
t
s
in
DNA
T
h
e
tr
an
s
itio
n
d
iag
r
a
m
o
f
d
ee
p
p
u
s
h
d
o
w
n
au
to
m
ata
f
o
r
tan
d
em
r
ep
ea
ts
is
s
h
o
w
n
i
n
Fig
u
r
e
2
.
I
t
is
d
ef
in
ed
b
y
2
0
1
2
3
4
0
(
{
,
,
,
,
,
}
,
{
,
}
,
{
,
,
,
,
,
#
}
,
,
,
{
}
,
)
ff
M
p
p
p
p
p
p
a
b
S
A
B
a
b
p
S
q
R
w
h
er
e
t
h
e
tr
an
s
it
io
n
r
elatio
n
R
is
d
ef
i
n
ed
b
y
:
T
r
an
s
itio
n
f
r
o
m
0
p
to
0
p
00
(
1
,
,
,
)
(
,
,
0
)
p
g
S
p
A
B
00
(
1
,
,
,
)
(
,
,
0
)
p
c
S
p
A
B
00
(
1
,
,
,
)
(
,
,
0
)
p
a
S
p
A
B
00
(
1
,
,
,
)
(
,
,
0
)
p
t
S
p
A
B
00
(
2
,
,
,
)
(
,
,
1
)
p
g
B
p
g
B
00
(
2
,
,
,
)
(
,
,
1
)
p
c
B
p
c
B
00
(
2
,
,
,
)
(
,
,
1
)
p
a
B
p
a
B
00
(
2
,
,
,
)
(
,
,
1
)
p
t
B
p
t
B
T
r
an
s
itio
n
f
r
o
m
0
p
to
1
p
01
(
1
,
,
,
)
(
,
,
0
)
p
g
A
p
01
(
1
,
,
,
)
(
,
,
0
)
p
c
A
p
01
(
1
,
,
,
)
(
,
,
0
)
p
a
A
p
01
(
1
,
,
,
)
(
,
,
0
)
p
t
A
p
T
r
an
s
itio
n
f
r
o
m
1
p
to
3
p
13
(
1
,
,
,
)
(
,
,
0
)
p
t
B
p
B
C
13
(
1
,
,
,
)
(
,
,
0
)
p
a
B
p
B
C
13
(
1
,
,
,
)
(
,
,
0
)
p
c
B
p
B
C
13
(
1
,
,
,
)
(
,
,
0
)
p
g
B
p
B
C
T
r
an
s
itio
n
f
r
o
m
3
p
to
1
p
31
(
0
,
,
,
)
(
,
,
0
)
p
g
B
p
31
(
0
,
,
,
)
(
,
,
0
)
p
c
B
p
31
(0
,
,
,
)
(
,
,
0
)
p
a
B
p
31
(
0
,
,
,
)
(
,
,
0
)
p
t
B
p
T
r
an
s
itio
n
f
r
o
m
3
p
to
4
p
34
(
0
,
,
,
)
(
,
,
0
)
p
g
g
p
34
(
0
,
,
,
)
(
,
,
0
)
p
c
c
p
34
(
0
,
,
,
)
(
,
,
0
)
p
a
a
p
34
(
0
,
,
,
)
(
,
,
0
)
p
t
t
p
T
r
an
s
itio
n
f
r
o
m
4
p
to
3
p
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
-
AI
I
SS
N:
2252
-
8938
M
-
I
TRS
:
Ma
th
ema
tica
l Mo
d
el
fo
r
I
d
en
tifi
ca
tio
n
o
f Ta
n
d
em
R
ep
ea
ts
in
DN
A
s
eq
u
en
ce
(
A
ja
y
K
u
ma
r
)
183
43
(
2
,
,
,
)
(
,
,
1
)
p
t
C
p
t
C
43
(
2
,
,
,
)
(
,
,
1
)
p
a
C
p
a
C
43
(
2
,
,
,
)
(
,
,
1
)
p
c
C
p
c
C
43
(
2
,
,
,
)
(
,
,
1
)
p
g
C
p
g
C
T
r
an
s
itio
n
f
r
o
m
1
p
to
2
p
12
(
0
,
,
,
)
(
,
,
1
)
p
t
t
p
12
(0
,
,
,
)
(
,
,
1
)
p
a
a
p
12
(
0
,
,
,
)
(
,
,
1
)
p
c
c
p
12
(
0
,
,
,
)
(
,
,
1
)
p
g
g
p
T
r
an
s
itio
n
f
r
o
m
2
p
to
2
p
22
(0
,
,
,
)
(
,
,
1
)
p
g
g
p
22
(
0
,
,
,
)
(
,
,
1
)
p
c
c
p
22
(0
,
,
,
)
(
,
,
1
)
p
a
a
p
22
(
0
,
,
,
)
(
,
,
1
)
p
t
t
p
T
r
an
s
itio
n
f
r
o
m
2
p
to
f
p
2
(
0
,
,
,
)
(
,
,
0
)
f
p
C
p
2
(
0
,
,
,
)
(
,
,
0)
f
p
B
p
0
P
1
,
,
|
,
0
gA
1
,
,
|
,
0
tA
1
P
2
P
0
,
,
|
,
1
cc
0
,
,
|
,
1
gg
0
,
,
|
,
1
gg
0
,
,
|
,
1
aa
f
P
3
P
4
P
1
,
,
|
,
0
g
B
BC
1
,
,
|
,
0
c
B
BC
0
,
,
|
,
0
gB
0
,
,
|
,
0
cB
0
,
,
|
,
0
cc
0
,
,
|
,
0
aa
2
,
,
|
,
1
c
C
c
C
2
,
,
|
,
1
g
C
gC
0
,
,
|
,
0
B
0
,
,
|
,
0
C
2
,
,
|
,
1
t
B
tB
1
,
,
|
,
0
a
S
AB
1
,
,
|
,
0
t
S
AB
2
,
,
|
,
1
g
B
gB
2
,
,
|
,
1
c
B
c
B
1
,
,
|
,
0
c
S
AB
1
,
,
|
,
0
g
S
AB
2
,
,
|
,
1
a
B
aB
1
,
,
|
,
0
cA
1
,
,
|
,
0
aA
1
,
,
|
,
0
a
B
BC
1
,
,
|
,
0
t
B
BC
0
,
,
|
,
0
gg
0
,
,
|
,
0
tt
0
,
,
|
,
0
aB
0
,
,
|
,
0
tB
2
,
,
|
,
1
a
C
aC
2
,
,
|
,
1
t
C
tC
0
,
,
|
,
1
aa
0
,
,
|
,
1
tt
0
,
,
|
,
1
cc
0
,
,
|
,
1
tt
Fig
u
r
e
2
.
Dee
p
p
u
s
h
d
o
w
n
a
u
t
o
m
a
ta
f
o
r
tan
d
e
m
r
ep
ea
ts
o
f
D
NA
Der
iv
atio
n
o
f
th
e
i
n
p
u
t
s
tr
in
g
w
g
a
tg
a
tg
a
t
0
0
0
0
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
p
g
a
t
g
a
t
g
a
t
S
p
g
a
t
g
a
t
g
a
t
A
B
p
a
t
g
a
t
g
a
t
A
g
B
p
t
g
a
t
g
a
t
A
g
a
B
0
1
3
4
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
p
g
a
t
g
a
t
A
g
a
t
B
p
g
a
t
g
a
t
g
a
t
B
p
g
a
t
g
a
t
g
a
t
B
C
p
g
a
t
g
a
t
a
t
B
C
3
4
3
4
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
p
a
t
g
a
t
a
t
B
g
C
p
a
t
g
a
t
t
B
g
C
p
t
g
a
t
t
B
g
a
C
p
t
g
a
t
B
g
a
C
3
1
2
2
2
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
(
,
,
#
)
f
p
g
a
t
B
g
a
tC
p
g
a
t
g
a
tC
p
a
t
a
tC
p
t
tC
p
C
p
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8938
IJ
-
AI
Vo
l.
7
,
No
.
4
,
Dec
em
b
e
r
201
8
:
1
7
9
–
1
8
4
184
4.
CO
NCLU
SI
O
N
I
n
th
i
s
p
ap
er
,
w
e
w
i
ll
d
esi
g
n
th
e
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
a
ta
f
o
r
tan
d
e
m
r
ep
ea
ts
.
T
h
e
d
esig
n
ed
d
ee
p
p
u
s
h
d
o
w
n
a
u
to
m
ata
w
ill
w
o
r
k
f
o
r
k
-
co
p
y
lan
g
u
ag
e.
T
h
e
m
a
j
o
r
ad
v
an
tag
e
o
f
th
e
p
r
o
p
o
s
ed
ap
p
r
o
ac
h
o
v
er
th
e
ex
is
t
in
g
ap
p
r
o
ac
h
is
th
a
t
it
w
i
ll
w
o
r
k
f
o
r
th
e
la
n
g
u
a
g
es
,
,
,
..
.
ww
ww
w
ww
ww
.
Fo
llo
w
i
n
g
ar
e
th
e
r
esear
c
h
d
ir
ec
tio
n
in
w
h
ich
w
o
r
k
ca
n
b
e
ca
r
r
ied
o
u
t in
th
e
n
ea
r
f
u
t
u
r
e
:
1.
P
ar
s
in
g
o
f
k
-
co
p
y
lan
g
u
ag
e
a
n
d
tan
d
e
m
r
ep
ea
ts
.
2.
Desig
n
o
f
a
to
o
l f
o
r
id
en
ti
f
y
i
n
g
tan
d
e
m
r
ep
ea
t p
atter
n
in
DN
A
s
eq
u
en
ce
.
3.
T
h
is
m
o
d
el
ca
n
b
e
ex
te
n
d
ed
to
k
-
ap
p
r
o
x
i
m
ate
tan
d
e
m
r
ep
ea
ts
an
d
m
u
ltip
le
le
n
g
th
ta
n
d
e
m
r
ep
ea
ts
.
RE
F
E
R
E
NC
E
S
[1
]
H.
El
leg
re
n
,
M
icro
sa
telli
tes
:
sim
p
le se
q
u
e
n
c
e
s w
it
h
c
o
m
p
lex
e
v
o
lu
t
io
n
,
Na
t
.
Rev
.
Ge
n
e
t.
,
v
o
l.
5
,
p
p
.
4
3
5
-
4
4
5
,
2
0
0
4
.
[2
]
F
.
De
n
o
e
u
d
,
G
.
V
e
rg
n
a
u
d
a
n
d
G
.
Be
n
so
n
,
P
re
d
ictin
g
h
u
m
a
n
m
in
isa
telli
te
p
o
ly
m
o
rp
h
ism
,
Ge
n
o
me
Re
s.
,
v
o
l.
1
3
,
p
p
.
856
-
8
6
7
,
2
0
0
3
.
[3
]
M
.
D.
L
a
li
o
ti
,
H.
S
.
S
c
o
tt
,
C.
Bu
re
si,
A
.
Bo
tt
a
n
i,
M
.
A
.
No
rris,
A.
M
a
laf
o
ss
e
a
n
d
S
.
E.
A
n
to
n
a
ra
k
is,
Do
d
e
c
a
m
e
r
re
p
e
a
t
e
x
p
a
n
sio
n
i
n
c
y
sta
ti
n
B
g
e
n
e
in
p
ro
g
re
ss
iv
e
m
y
o
c
lo
n
u
s e
p
il
e
p
sy
,
Na
tu
re
,
v
o
l.
3
8
6
,
p
p
.
8
4
7
-
8
5
2
,
1
9
9
7
.
[4
]
J.
D.
W
r
e
n
,
E.
F
o
rg
a
c
s,
J.
W
.
F
o
n
d
o
n
,
A
.
P
e
rtse
m
li
d
is,
S
.
Y.
Ch
e
n
g
a
n
d
T
.
G
a
ll
a
rd
o
e
t
a
l.
,
Re
p
e
a
t
p
o
ly
m
o
rp
h
ism
s
w
it
h
in
g
e
n
e
re
g
io
n
s: p
h
e
n
o
ty
p
ic an
d
e
v
o
l
u
ti
o
n
a
ry
i
m
p
li
c
a
ti
o
n
s,
Am.
J
.
Hu
m.
Ge
n
e
t.
v
o
l.
6
7
,
p
p
.
3
4
5
-
3
5
6
,
2
0
0
0
.
[5
]
C.
Hu
a
n
g
,
Y
.
L
in
,
Y.
Ya
n
g
,
S
.
Hu
a
n
g
a
n
d
C
.
C
h
e
n
,
T
h
e
tel
o
m
e
re
s
o
f
S
trep
to
m
y
c
e
s
c
h
ro
m
o
so
m
e
s
c
o
n
tain
c
o
n
se
rv
e
d
p
a
li
n
d
r
o
m
ic
s
e
q
u
e
n
c
e
s
w
it
h
p
o
ten
ti
a
l
t
o
f
o
r
m
c
o
m
p
le
x
se
c
o
n
d
a
ry
stru
c
tu
re
s,
M
o
l.
M
ic
ro
b
io
l.
,
v
o
l.
2
8
,
p
p
.
9
0
5
-
9
1
6
,
1
9
9
8
.
[6
]
G
.
F
.
Rich
a
rd
,
C.
He
n
n
e
q
u
in
,
A
.
T
h
ierr
y
a
n
d
B.
Du
jo
n
,
T
rin
u
c
leo
ti
d
e
re
p
e
a
ts
a
n
d
o
t
h
e
r
m
icro
sa
te
ll
it
e
s
in
y
e
a
sts,
Res
.
M
icr
o
b
io
l.
,
v
o
l.
1
5
0
,
p
p
.
5
8
9
-
6
0
2
,
1
9
9
9
.
[7
]
C.
T
.
M
c
M
u
rra
y
,
DN
A
se
c
o
n
d
a
r
y
stru
c
tu
re
:
a
c
o
m
m
o
n
a
n
d
c
a
u
sa
t
iv
e
fa
c
to
r
f
o
r
e
x
p
a
n
sio
n
in
h
u
m
a
n
d
ise
a
se
.
Pro
c
.
Na
tl
.
Ac
a
d
.
S
c
i.
US
A
,
v
o
l.
9
6
,
p
p
.
1
8
2
3
-
1
8
2
5
,
1
9
9
9
.
[8
]
P.
G
il
l,
C.
P
.
Kim
p
to
n
,
A
.
Urq
u
h
a
rt,
N.
Old
ro
y
d
,
E.
S
.
M
il
li
c
a
n
,
S
.
K.
W
a
tso
n
a
n
d
T
.
J.
Do
w
n
e
s,
Au
to
m
a
ted
sh
o
rt
tan
d
e
m
re
p
e
a
t
(S
T
R)
a
n
a
l
y
sis
in
fo
re
n
sic
c
a
se
w
o
rk
-
a
str
a
teg
y
f
o
r
th
e
f
u
tu
re
,
El
e
c
tro
p
h
o
re
sis
,
v
o
l.
1
6
(1
),
p
p
.
1
5
4
3
-
1
5
5
2
.
[9
]
B.
Yu
a
n
,
D.
V
a
sk
e
,
J.L
.
W
e
b
e
r,
J.
Be
c
k
a
n
d
V.C.
S
h
e
f
f
ield
,
I
m
p
ro
v
e
d
se
t
o
f
sh
o
rt
-
ta
n
d
e
m
re
p
e
a
t
p
o
ly
m
o
rp
h
ism
s
f
o
r
sc
re
e
n
in
g
th
e
h
u
m
a
n
g
e
n
o
m
e
,
Am.
J
.
Hu
m.
Ge
n
e
t
.
v
o
l.
6
0
(2
),
p
p
.
4
5
9
-
4
6
0
,
1
9
9
7
.
[1
0
]
W
.
P
a
rso
n
,
R.
Kirc
h
e
b
n
e
r,
R.
M
ü
h
lm
a
n
n
,
K.
Re
n
n
e
r,
A
.
Ko
f
l
e
r,
S
.
S
c
h
m
id
t
a
n
d
R.
Ko
f
ler,
Ca
n
c
e
r
c
e
ll
li
n
e
id
e
n
ti
f
ica
ti
o
n
b
y
sh
o
rt
tan
d
e
m
re
p
e
a
t
p
ro
f
il
in
g
:
p
o
w
e
r
a
n
d
li
m
it
a
ti
o
n
s,
FA
S
EB
J
.
,
v
o
l.
1
9
(3
),
p
p
.
4
3
4
-
4
3
6
,
2
0
0
5
.
[1
1
]
S
.
P
e
lo
tt
i,
S
.
Ce
c
c
a
rd
i,
M
.
A
lu
,
F
.
L
u
g
a
re
si,
R.
T
ra
n
e
,
M
.
F
a
lco
n
i
,
C.
Bin
i
a
n
d
A
.
Cico
g
n
a
n
i,
Ca
n
c
e
ro
u
s
ti
ss
u
e
s
i
n
f
o
re
n
sic
g
e
n
e
ti
c
a
n
a
l
y
sis,
Ge
n
e
t.
T
e
st.
,
v
o
l.
1
1
(4
),
p
p
.
3
9
7
-
4
0
0
,
2
0
0
8
.
[1
2
]
A
.
K.
Jo
sh
i
a
n
d
L
.
L
e
v
y
a
n
d
M
.
T
a
k
a
h
a
sh
i,
T
re
e
a
d
ju
n
c
t
g
ra
m
m
a
r
s,
J
o
u
rn
a
l
o
f
C
o
mp
u
ter
a
n
d
S
y
ste
m
S
c
ien
c
e
s
,
v
o
l.
1
0
,
p
p
.
1
3
6
-
1
6
3
,
1
9
8
5
.
[1
3
]
N.
Ka
lra
a
n
d
A
.
Ku
m
a
r,
De
ter
m
i
n
isti
c
De
e
p
P
u
sh
d
o
w
n
T
ra
n
sd
u
c
e
r
a
n
d
it
s
P
a
ra
ll
e
l
v
e
rsio
n
,
T
h
e
Co
mp
u
ter
J
o
u
rn
a
l
,
A
c
c
e
p
ted
2
0
1
7
,
d
o
i:
1
0
.
1
0
9
3
/co
m
jn
l/
b
x
x
0
3
6
.
[1
4
]
N.
Ka
lra
a
n
d
A
.
Ku
m
a
r,
F
u
z
z
y
st
a
te
g
ra
m
m
a
r
a
n
d
f
u
z
z
y
d
e
e
p
p
u
sh
d
o
w
n
a
u
to
m
a
to
n
,
J
o
u
r
n
a
l
o
f
In
tel
li
g
e
n
t
&
Fu
zz
y
S
y
ste
ms
,
v
o
l.
3
1
(1
),
p
p
.
2
4
9
-
2
5
8
,
2
0
1
6
.
[1
5
]
N.
Ka
lra
a
n
d
A
.
Ku
m
a
r,
S
tate
G
r
a
m
m
a
r
a
n
d
De
e
p
P
u
s
h
d
o
w
n
A
u
to
m
a
ta
f
o
r
Bio
lo
g
ica
l
S
e
q
u
e
n
c
e
s
o
f
Nu
c
leic
A
c
id
s,
Cu
rr
e
n
t
Bi
o
in
f
o
rm
a
ti
c
s
,
v
o
l
.
1
1
(
4
),
p
p
.
4
7
0
-
4
7
9
,
2
0
1
6
.
[1
6
]
A
.
M
e
d
u
n
a
a
n
d
P
.
Zem
e
k
,
Re
g
u
la
ted
G
ra
m
m
a
r
a
n
d
A
u
to
m
a
ta,
1
st ed
it
io
n
,
S
p
ri
n
g
e
r
-
Ver
la
g
:
Ne
w
Yo
rk
,
2
0
1
4
.
B
I
O
G
RAP
H
I
E
S
O
F
AUTH
O
RS
Dr
A
ja
y
Ku
m
a
r
is
w
o
rk
in
g
a
s
a
n
a
ss
istan
t
p
ro
f
e
ss
o
r
in
Co
m
p
u
ter
sc
ien
c
e
a
n
d
En
g
in
e
e
rin
g
d
e
p
a
rtm
e
n
t,
T
h
a
p
a
r
Un
iv
e
rsit
y
,
P
a
ti
a
la,
i
n
d
ia.
He
is
h
a
v
in
g
1
3
y
e
a
rs
o
f
te
a
c
h
in
g
a
n
d
re
se
ra
c
h
e
x
p
e
rien
c
e
.
He
h
a
s
p
u
b
li
s
h
e
d
se
v
e
ra
l
re
se
r
a
c
h
p
a
p
e
r
in
S
CI
jo
u
r
n
a
ls
in
c
lu
d
i
n
g
T
h
e
c
o
m
p
u
ter
jo
u
r
n
a
l,
Q
u
a
n
tu
m
in
f
o
rm
a
ti
o
n
p
ro
c
e
ss
in
g
,
Ex
p
e
rt
sy
ste
m
,
c
u
rre
n
t
b
io
i
n
f
o
rm
a
ti
c
s,
Jo
u
rn
a
l
o
f
in
telli
g
e
n
t
a
n
d
f
u
z
z
y
s
y
ste
m
,
a
p
p
li
e
d
m
a
th
e
m
a
ti
c
s
&
in
f
o
r
m
a
ti
o
n
S
c
ien
c
e
.
He
is
a
a
c
ti
v
e
re
v
ie
w
e
r
a
n
d
p
ro
g
ra
m
c
o
m
m
it
tee
m
e
m
b
e
rs
o
f
v
a
rio
u
s
in
tern
a
ti
o
n
a
l
c
o
n
f
e
re
n
c
e
s
a
n
d
Jo
u
rn
a
ls.
He
is
w
o
rk
in
g
in
th
e
a
re
a
o
f
T
h
e
o
re
ti
c
a
l
Co
m
p
u
ter
sc
ien
c
e
,
Qu
a
n
tu
m
Co
m
p
u
ti
n
g
,
Co
g
n
i
ti
v
e
S
c
ien
c
e
.
Dr
S
u
n
it
a
G
a
rh
w
a
l
is
w
o
rk
in
g
a
s
a
n
a
ss
istan
t
p
ro
f
e
ss
o
r
in
C
o
m
p
u
ter
sc
ien
c
e
a
n
d
En
g
in
e
e
ri
n
g
d
e
p
a
rtm
e
n
t,
T
h
a
p
a
r
Un
iv
e
r
sit
y
,
P
a
ti
a
la,
in
d
ia.
S
h
e
e
is
h
a
v
in
g
9
y
e
a
rs
o
f
t
e
a
c
h
in
g
a
n
d
re
se
ra
c
h
e
x
p
e
rien
c
e
.
S
h
e
h
a
s
p
u
b
li
sh
e
d
se
v
e
r
a
l
re
s
e
ra
c
h
p
a
p
e
r
in
S
CI
j
o
u
r
n
a
ls
i
n
th
e
a
re
a
o
f
f
u
z
z
y
a
u
to
m
a
ta
a
n
d
so
f
t
w
a
re
t
e
stin
g
.
S
h
e
is
w
o
rk
in
g
in
th
e
a
re
a
o
f
F
u
z
z
y
A
u
to
m
a
ta
a
n
d
S
o
f
t
w
a
re
tes
ti
n
g
.
Evaluation Warning : The document was created with Spire.PDF for Python.