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6
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14
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6
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Dec
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20
24
:
6
8
6
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3
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o
r
t
h
e
c
o
m
p
u
t
e
r
p
r
o
c
e
s
s
o
r
,
a
n
d
n
o
t
f
o
r
t
h
e
AR
M
a
r
c
h
i
t
e
ct
u
r
e
,
i
t
w
o
u
l
d
m
o
s
t
l
i
k
e
l
y
b
e
d
e
m
a
n
d
i
n
g
i
n
te
r
m
s
o
f
c
o
m
p
u
t
i
n
g
p
o
w
e
r
a
n
d
e
n
e
r
g
y
.
I
t
s
h
o
u
l
d
b
e
n
o
t
e
d
t
h
a
t
s
o
l
u
t
i
o
n
s
b
a
s
e
d
o
n
f
u
z
zy
l
o
g
i
c
c
a
n
s
u
c
c
es
s
f
u
ll
y
s
o
l
v
e
t
h
e
a
u
t
h
e
n
t
i
c
a
ti
o
n
p
r
o
b
l
e
m
s
i
n
c
e
t
h
e
y
d
o
n
o
t
r
e
q
u
i
r
e
p
o
w
e
r
f
u
l
c
o
m
p
u
t
i
n
g
a
n
d
a
r
e
c
o
m
p
l
e
t
e
d
i
n
a
s
h
o
r
t
p
e
r
i
o
d
o
f
t
i
m
e
.
N
o
t
a
b
l
y
,
a
m
o
n
g
d
e
c
i
s
i
o
n
-
m
a
k
i
n
g
a
n
d
f
au
l
t
d
e
t
e
c
ti
o
n
s
y
s
t
e
m
s
,
s
y
s
t
e
m
s
b
a
s
e
d
o
n
f
u
z
z
y
l
o
g
i
c
a
r
e
p
o
p
u
la
r
[
1
2
]
–
[
1
5
]
.
T
h
is
s
tu
d
y
we
co
n
s
id
er
ed
a
n
en
h
an
ce
d
cr
y
p
to
g
r
a
p
h
ic
s
o
lu
tio
n
co
m
b
i
n
in
g
th
e
c
h
ar
ac
t
er
is
tics
o
f
s
y
m
m
etr
ic,
asy
m
m
etr
ic
en
cr
y
p
tio
n
alg
o
r
ith
m
s
an
d
a
p
u
b
lic
k
ey
s
er
v
er
to
en
cr
y
p
t
tr
a
n
s
m
itted
d
ata
[
1
6
]
.
Ho
wev
er
,
th
e
p
r
e
v
io
u
s
ly
m
e
n
tio
n
ed
alg
o
r
ith
m
AE
S
was
u
s
e
d
to
e
n
cr
y
p
t
an
d
d
ec
r
y
p
t
d
ata
an
d
h
as
d
r
awb
ac
k
s
d
u
e
to
th
e
r
eq
u
ir
e
m
en
t
o
f
h
i
g
h
co
m
p
u
tin
g
p
o
wer
an
d
en
e
r
g
y
r
eso
u
r
ce
s
.
On
e
o
f
th
e
wo
r
k
s
p
r
esen
ted
L
o
R
a
[
1
7
]
.
I
t
was
also
b
ased
o
n
th
e
AE
S
-
1
2
8
alg
o
r
ith
m
.
T
h
e
r
e
was
a
wo
r
k
s
u
g
g
esti
n
g
a
h
y
b
r
id
en
cr
y
p
tio
n
m
eth
o
d
[
1
8
]
b
ased
o
n
1
0
m
et
h
o
d
s
,
s
u
c
h
as
PR
E
SENT
-
8
0
,
m
C
r
y
p
to
n
,
HI
GHT
,
a
n
d
o
th
er
s
.
L
im
ited
p
ar
am
eter
an
aly
s
is
was
p
r
esen
ted
to
s
elec
t
th
e
o
p
tim
al
h
y
b
r
i
d
en
cr
y
p
tio
n
m
et
h
o
d
,
wh
ic
h
m
ig
h
t
lead
to
l
o
n
g
r
esp
o
n
s
e
tim
es.
I
n
th
e
n
ex
t
wo
r
k
[
1
9
]
,
a
d
y
n
a
m
ic
d
ata
en
cr
y
p
tio
n
alg
o
r
ith
m
with
ef
f
icien
t
e
n
cr
y
p
tio
n
/
d
ec
r
y
p
tio
n
tim
e
was
co
n
s
id
er
ed
.
Un
f
o
r
tu
n
ately
,
th
at
p
r
o
p
o
s
ed
ap
p
r
o
ac
h
h
a
d
li
m
itatio
n
s
in
im
a
g
e
e
n
cr
y
p
tio
n
.
T
h
e
a
p
p
licatio
n
o
f
b
lo
ck
ch
ain
tech
n
o
lo
g
y
h
as
also
f
o
u
n
d
u
s
e
in
au
th
en
ticati
o
n
an
d
k
e
y
ex
ch
an
g
e
[
2
0
]
,
[
2
1
]
.
Ho
wev
er
,
th
e
f
u
r
th
er
s
ca
lin
g
o
f
b
l
o
ck
ch
ai
n
tech
n
o
lo
g
y
lead
s
t
o
a
d
ec
r
ea
s
e
in
tr
a
n
s
ac
tio
n
s
p
ee
d
.
No
tab
l
y
,
th
e
r
elev
an
ce
o
f
en
cr
y
p
tio
n
ex
ten
d
s
b
ey
o
n
d
tr
a
d
itio
n
al
f
ield
s
,
as
ev
id
en
ce
d
b
y
th
e
in
n
o
v
ativ
e
ap
p
licatio
n
o
f
b
u
ild
in
g
d
am
a
g
e
ass
es
s
m
en
t
tech
n
o
lo
g
y
[
2
2
]
,
h
ig
h
lig
h
tin
g
th
e
d
iv
e
r
s
e
ap
p
licab
ilit
y
o
f
d
ata
p
r
o
tecti
o
n
tech
n
iq
u
es.
As
p
r
ev
io
u
s
ly
n
o
ted
,
h
ig
h
-
co
s
t
F
PGAs
ar
e
u
s
ed
f
o
r
h
ig
h
-
s
p
ee
d
s
y
s
tem
s
to
s
o
lv
e
co
m
p
le
x
task
s
[
2
3
]
,
[
2
4
]
,
s
u
c
h
as
im
ag
e
r
ec
o
g
n
itio
n
an
d
v
id
e
o
p
r
o
ce
s
s
in
g
.
Ho
wev
er
,
ea
c
h
o
f
th
e
en
cr
y
p
tio
n
m
eth
o
d
s
co
n
s
id
er
ed
h
ad
v
ar
io
u
s
d
is
ad
v
an
tag
es,
s
u
ch
as
h
ig
h
r
eso
u
r
ce
an
d
p
o
wer
co
n
s
u
m
p
tio
n
,
an
e
x
p
en
s
iv
e
p
latf
o
r
m
,
m
o
d
er
ate
cr
y
p
to
g
r
ap
h
ic
s
tr
en
g
th
,
a
n
d
lo
n
g
en
cr
y
p
tio
n
/
d
ec
r
y
p
tio
n
ex
ec
u
tio
n
tim
e.
T
h
e
s
tu
d
y
aim
s
to
d
ev
elo
p
a
lig
h
tweig
h
t
en
cr
y
p
tio
n
alg
o
r
it
h
m
an
d
au
th
e
n
ticatio
n
m
eth
o
d
b
ased
o
n
f
u
zz
y
lo
g
ic
f
o
r
p
r
ac
tical
a
p
p
l
icatio
n
o
n
Ar
d
u
in
o
E
SP
3
2
w
ith
lim
ited
co
m
p
u
tin
g
r
eso
u
r
ce
s
.
T
h
e
p
r
o
p
o
s
ed
lig
h
tweig
h
t e
n
cr
y
p
tio
n
alg
o
r
ith
m
s
ig
n
if
ican
tly
in
cr
ea
s
es c
r
y
p
to
g
r
ap
h
ic
s
tr
en
g
th
d
u
e
to
d
y
n
am
ic
g
en
er
atio
n
s
o
f
S
-
b
o
x
es.
T
h
e
r
est
o
f
th
e
p
ap
er
is
o
r
g
an
ized
as
f
o
llo
ws.
S
ec
tio
n
2
s
h
o
ws
th
e
p
r
o
ce
s
s
o
f
id
en
tific
atio
n
an
d
au
th
en
ticatio
n
p
r
o
ce
d
u
r
e,
th
e
n
d
escr
ib
es
th
e
ar
c
h
itectu
r
e
o
f
th
e
p
r
o
p
o
s
ed
T
win
e
-
Me
r
s
en
n
e
alg
o
r
ith
m
an
d
co
m
p
ar
es
it
to
o
th
er
en
cr
y
p
ti
o
n
alg
o
r
ith
m
s
.
I
n
s
ec
tio
n
3
,
t
h
e
p
r
ac
tical
im
p
lem
en
tatio
n
o
f
T
win
e
-
Me
r
s
en
n
e
alg
o
r
ith
m
an
d
au
th
e
n
ticatio
n
ar
e
p
r
esen
te
d
o
n
t
h
e
m
o
b
ile
a
p
p
licatio
n
.
Fin
ally
,
in
s
ec
tio
n
4
we
co
n
clu
d
e
th
e
p
ap
er
with
a
b
r
ief
s
u
m
m
a
r
y
an
d
d
is
cu
s
s
th
e
f
u
tu
r
e
w
o
r
k
.
2.
M
E
T
H
O
D
2
.
1
.
Secure
cr
edent
ia
l
a
uthent
ica
t
io
n
Secu
r
e
c
r
ed
en
tial
(
SC
)
au
th
en
ticatio
n
f
o
r
I
o
T
d
ev
ices
in
clu
d
es
a
m
u
lti
-
f
ac
to
r
au
th
en
ticatio
n
m
ec
h
an
is
m
co
u
p
led
with
ad
v
a
n
ce
d
cr
y
p
to
g
r
ap
h
ic
tech
n
iq
u
e
s
f
o
r
en
h
an
ce
d
s
ec
u
r
ity
.
T
h
is
p
r
o
ce
s
s
en
s
u
r
es
th
at
o
n
ly
le
g
itima
te
d
ev
ices
ca
n
c
o
n
n
ec
t
t
o
th
e
n
etwo
r
k
,
p
r
o
v
i
d
in
g
s
tr
o
n
g
p
r
o
tectio
n
ag
ain
s
t
u
n
au
th
o
r
ized
ac
ce
s
s
an
d
attac
k
s
.
T
h
e
a
u
th
en
ticatio
n
p
r
o
ce
s
s
alg
o
r
it
h
m
is
s
h
o
wn
i
n
Fig
u
r
e
1
.
Fig
u
r
e
1
.
I
d
en
tific
atio
n
a
n
d
a
u
th
en
ticatio
n
p
r
o
ce
d
u
r
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J E
lec
&
C
o
m
p
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n
g
I
SS
N:
2088
-
8
7
0
8
A
b
o
u
t
o
n
e
lig
h
tw
eig
h
t e
n
cryp
tio
n
a
lg
o
r
ith
m
en
s
u
r
in
g
t
h
e
s
ec
u
r
ity
o
f
…
(
S
a
b
yrz
h
a
n
A
ta
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v
)
6863
2
.
2
.
Str
uct
ure
o
f
inte
llig
ent
a
uthent
ica
t
io
n
Au
th
o
r
izatio
n
in
th
e
d
ig
ital
w
o
r
ld
is
k
ey
to
en
s
u
r
in
g
ac
ce
s
s
to
i
n
f
o
r
m
atio
n
,
tr
ad
itio
n
ally
r
ely
in
g
o
n
b
in
ar
y
lo
g
ic
wh
er
e
ac
ce
s
s
is
eith
er
g
r
an
ted
o
r
d
e
n
ied
b
ased
o
n
s
tr
ict
r
u
les.
Ho
wev
er
,
t
h
is
ap
p
r
o
ac
h
o
f
ten
s
tr
u
g
g
les
with
th
e
co
m
p
lex
ities
an
d
n
u
an
ce
s
o
f
m
o
d
er
n
ac
ce
s
s
co
n
tr
o
l
s
ce
n
ar
io
s
.
Fu
z
zy
lo
g
ic
o
f
f
er
s
a
n
alter
n
ativ
e
b
y
in
tr
o
d
u
cin
g
d
e
g
r
ee
s
o
f
tr
u
th
,
allo
win
g
f
o
r
m
o
r
e
n
u
a
n
ce
d
d
ec
is
io
n
s
th
at
b
etter
r
ef
lect
th
e
am
b
ig
u
ity
an
d
v
ar
iab
ilit
y
o
f
r
ea
l
-
wo
r
ld
s
itu
atio
n
s
.
I
m
p
lem
e
n
tin
g
f
u
zz
y
lo
g
ic
in
au
th
o
r
izat
io
n
s
y
s
tem
s
en
ab
les
m
o
r
e
f
lex
ib
le
a
n
d
co
n
tex
t
-
awa
r
e
ac
ce
s
s
d
ec
is
io
n
s
,
ad
a
p
tin
g
to
a
wid
e
r
an
g
e
o
f
co
n
d
itio
n
s
b
ey
o
n
d
th
e
b
in
ar
y
.
T
h
is
ad
ap
tab
ilit
y
is
v
ital
in
t
o
d
ay
’
s
d
y
n
am
ic
d
ig
ital
en
v
ir
o
n
m
en
t,
y
et
it
also
p
r
esen
ts
ch
allen
g
es,
s
u
ch
as
in
cr
ea
s
ed
co
m
p
lex
ity
an
d
th
e
n
ee
d
f
o
r
a
ca
r
e
f
u
l
b
alan
ce
b
etwe
en
s
ec
u
r
ity
an
d
u
s
ab
ilit
y
.
T
h
e
r
elev
a
n
ce
o
f
ad
v
an
ce
d
c
o
m
p
u
tatio
n
al
tech
n
iq
u
es
f
o
r
e
n
h
an
cin
g
s
ec
u
r
it
y
co
n
tr
o
ls
is
f
u
r
th
er
h
ig
h
lig
h
ted
b
y
a
s
tu
d
ies
[
2
5
]
–
[
3
4
]
th
at
ex
am
in
e
th
e
f
u
n
d
am
en
tal
elem
e
n
ts
o
f
s
ec
u
r
e
s
y
s
tem
s
,
d
em
o
n
s
tr
atin
g
th
e
c
o
m
p
lex
r
elatio
n
s
h
ip
b
etwe
en
h
ar
d
war
e
-
lev
el
in
n
o
v
atio
n
an
d
th
e
ef
f
ec
tiv
en
ess
o
f
au
th
o
r
izatio
n
m
ec
h
a
n
is
m
s
.
Fu
zz
y
lo
g
ic
o
p
e
r
ates
with
s
o
-
ca
lled
"lin
g
u
is
tic
v
ar
i
ab
les,"
an
d
th
e
g
en
er
al
p
r
in
ci
p
le
o
f
o
p
er
atio
n
is
illu
s
tr
ated
in
Fig
u
r
e
2
.
T
h
ese
lin
g
u
is
tic
v
ar
iab
les
r
ep
r
esen
t
f
u
zz
y
s
ets,
wh
er
e
th
e
elem
en
ts
ar
e
v
alu
es
o
f
s
o
m
e
p
h
y
s
ical
q
u
an
tity
.
E
ac
h
v
alu
e
o
f
th
is
q
u
an
tity
co
r
r
esp
o
n
d
s
to
a
m
em
b
er
s
h
ip
f
u
n
ctio
n
,
wh
i
ch
tak
es
v
alu
es
f
r
o
m
0
to
1
,
i
n
d
icatin
g
th
e
d
e
g
r
ee
to
wh
ich
th
is
q
u
an
tity
b
elo
n
g
s
to
a
p
ar
ticu
lar
s
et.
Fu
zz
if
icatio
n
,
an
in
teg
r
al
p
ar
t
o
f
f
u
zz
y
lo
g
ic,
tr
an
s
f
o
r
m
s
p
r
ec
is
e
in
p
u
t
d
ata
in
to
f
u
zz
y
s
ets
to
m
an
ag
e
am
b
ig
u
ity
,
en
a
b
lin
g
s
y
s
tem
s
to
m
ak
e
d
ec
is
io
n
s
with
h
u
m
an
-
lik
e
r
ea
s
o
n
in
g
.
T
h
is
ap
p
r
o
ac
h
is
p
ar
ticu
lar
ly
u
s
ef
u
l
in
p
ass
wo
r
d
v
er
if
icatio
n
,
wh
er
e
it
ev
alu
ates
s
im
ilar
itie
s
b
etwe
en
th
e
attem
p
ted
an
d
e
x
p
ec
ted
p
ass
wo
r
d
s
.
T
h
e
p
r
o
c
ess
r
elies
o
n
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
ac
r
o
s
s
th
r
ee
in
p
u
t
d
im
e
n
s
io
n
s
o
f
p
ass
wo
r
d
v
er
if
icatio
n
:
le
n
g
th
m
a
tch
,
ch
ar
ac
ter
m
atch
,
an
d
ca
s
e
m
atch
.
T
h
e
im
p
lem
en
tatio
n
o
f
f
u
zz
y
lo
g
ic
co
m
p
r
is
es f
o
u
r
m
ain
m
o
d
u
les
:
−
R
u
le
b
ase:
T
h
is
is
a
tab
le
o
f
r
u
les
f
o
r
ev
alu
atin
g
v
ar
i
o
u
s
lev
els
o
f
cr
iter
ia
co
m
p
lian
ce
an
d
d
eter
m
in
in
g
co
r
r
esp
o
n
d
in
g
ac
tio
n
s
o
r
o
u
tc
o
m
es.
I
t
c
o
n
tain
s
all
th
e
"if
-
th
en
"
r
u
les
a
n
d
c
o
n
d
itio
n
s
p
r
o
p
o
s
ed
b
y
ex
p
e
r
ts
to
m
an
ag
e
t
h
e
d
ec
is
io
n
-
m
a
k
in
g
s
y
s
tem
.
−
Fu
zz
if
icatio
n
:
T
h
is
s
tep
h
elp
s
co
n
v
er
t
in
p
u
t
d
ata
in
to
f
u
zz
y
s
ets
an
d
o
b
tain
th
e
v
alu
es
o
f
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
μ
i
n
th
e
in
ter
v
al
[
0
,
1
]
,
wh
er
e
1
r
ep
r
esen
ts
co
m
p
lete
tr
u
th
an
d
0
r
ep
r
esen
ts
ab
s
o
lu
t
e
f
alseh
o
o
d
.
−
I
n
f
er
en
ce
m
ec
h
a
n
is
m
:
T
h
is
m
o
d
u
le
ca
lcu
lates
th
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
f
o
r
th
e
o
u
tp
u
t
v
ar
iab
le
b
ased
o
n
g
iv
en
lo
g
ical
r
u
les.
−
Def
u
zz
if
icatio
n
:
T
h
is
p
r
o
ce
s
s
co
n
v
e
r
ts
th
e
f
u
zz
y
o
u
tp
u
t
v
alu
es
b
ac
k
in
t
o
p
h
y
s
ical
v
al
u
es.
T
h
er
e
ar
e
v
ar
io
u
s
m
eth
o
d
s
f
o
r
d
e
f
u
zz
if
i
ca
tio
n
,
s
o
it
is
cr
u
cial
to
ch
o
o
s
e
th
e
o
p
tim
al
m
eth
o
d
b
est
s
u
ited
f
o
r
u
s
e
with
th
e
ex
p
er
t sy
s
tem
.
W
h
en
d
eter
m
in
in
g
th
e
s
h
ap
es
o
f
m
em
b
er
s
h
ip
f
u
n
ctio
n
cu
r
v
es,
it
is
im
p
o
r
tan
t
to
n
o
te
th
at
th
ey
ar
e
co
n
s
tr
u
cted
s
u
b
jectiv
ely
b
ase
d
o
n
ex
p
er
t
s
u
r
v
ey
r
esu
lts
an
d
ar
e,
th
er
ef
o
r
e,
s
o
m
ewh
at
s
u
b
jectiv
e.
I
n
p
r
ac
tice,
th
e
s
h
ap
e
o
f
th
e
m
em
b
er
s
h
i
p
f
u
n
ctio
n
cu
r
v
es
is
ch
o
s
en
b
ased
o
n
th
e
co
m
p
lex
ity
o
f
th
e
ca
lcu
latio
n
s
.
T
r
ian
g
u
lar
m
em
b
er
s
h
ip
f
u
n
cti
o
n
s
ar
e
m
o
s
t
co
m
m
o
n
l
y
u
s
ed
d
u
e
to
t
h
eir
v
er
s
atility
an
d
lo
wer
co
m
p
u
tatio
n
al
r
eso
u
r
ce
r
eq
u
ir
em
en
ts
f
o
r
h
ar
d
war
e
im
p
lem
e
n
tatio
n
.
Ad
d
itio
n
ally
,
in
th
e
task
o
f
in
tellig
en
t
u
s
er
au
th
en
ticatio
n
f
o
r
s
y
s
tem
ac
ce
s
s
,
it
i
s
n
ec
ess
ar
y
to
h
av
e
an
ex
ac
t
m
atch
o
f
p
ar
a
m
eter
s
,
m
ea
n
in
g
th
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
h
o
u
ld
b
e
eq
u
al
to
1
at
o
n
ly
o
n
e
p
o
in
t
f
o
r
all
in
p
u
t
d
im
en
s
io
n
s
.
T
h
is
is
ac
h
iev
ab
le
o
n
ly
with
th
e
u
s
e
o
f
tr
ian
g
u
la
r
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
.
T
h
e
t
r
ian
g
u
lar
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
is
d
ef
in
ed
b
y
a
tr
ip
let
o
f
n
u
m
b
er
s
(
,
,
)
,
an
d
its
v
alu
e
at
p
o
in
t
is
ca
lcu
lated
ac
co
r
d
in
g
to
th
e
ex
p
r
ess
io
n
as
s
h
o
wn
in
Fig
u
r
e
3
.
If
(
−
)
=
(
−
)
,
th
en
we
g
et
a
s
y
m
m
etr
ic
tr
ian
g
u
lar
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
,
w
h
ich
ca
n
b
e
u
n
iq
u
ely
d
e
f
in
ed
b
y
two
p
ar
a
m
eter
s
f
r
o
m
th
e
tr
ip
let
(
,
,
)
.
T
h
e
p
r
o
ce
s
s
o
f
i
n
tellig
en
t
au
t
h
en
tic
atio
n
in
th
is
im
p
lem
en
tatio
n
r
elies
o
n
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
s
ac
r
o
s
s
th
r
ee
in
p
u
t
d
im
en
s
io
n
s
o
f
p
ass
wo
r
d
v
er
if
icatio
n
:
len
g
th
m
atch
,
ch
ar
ac
ter
m
atch
,
an
d
ca
s
e
m
atch
.
L
et'
s
co
n
s
id
er
ea
ch
o
f
th
ese
cr
iter
ia.
Fig
u
r
e
2
.
Stru
ctu
r
e
o
f
f
u
zz
y
lo
g
ic
o
p
er
atio
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
7
0
8
I
n
t J E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
14
,
No
.
6
,
Dec
em
b
e
r
20
24
:
6
8
6
1
-
6
8
7
3
6864
Fig
u
r
e
3
.
T
r
ian
g
u
la
r
m
em
b
e
r
s
h
ip
f
u
n
ctio
n
2
.
3
.
L
eng
t
h
m
a
t
ch
cr
it
er
io
n
T
h
is
m
ea
s
u
r
em
en
t
ev
alu
ates
h
o
w
clo
s
ely
th
e
len
g
th
o
f
th
e
attem
p
ted
p
ass
wo
r
d
m
atch
es
th
e
ex
p
ec
ted
p
ass
wo
r
d
len
g
t
h
.
T
h
e
m
em
b
e
r
s
h
ip
f
u
n
ctio
n
f
o
r
t
h
is
cr
iter
io
n
class
if
ies
th
e
len
g
t
h
m
atc
h
i
n
to
r
a
n
g
es
s
u
c
h
as
s
h
o
r
t
ℎ
,
ad
eq
u
ate
,
o
r
ex
ce
s
s
iv
e
,
allo
win
g
f
lex
ib
le
r
esp
o
n
s
es
d
ep
en
d
i
n
g
o
n
th
e
d
eg
r
ee
o
f
m
atc
h
.
I
n
all
th
r
ee
eq
u
atio
n
s
,
L
a
d
en
o
tes
th
e
n
u
m
b
er
o
f
ch
a
r
ac
ter
s
in
th
e
attem
p
ted
p
ass
wo
r
d
,
an
d
L
e
d
en
o
tes
th
e
ex
p
ec
ted
n
u
m
b
er
o
f
ch
ar
ac
ter
s
in
th
e
p
ass
wo
r
d
.
T
h
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
f
o
r
th
is
cr
iter
io
n
ar
e
d
ef
in
e
d
as:
−
Sh
o
r
t
:
in
d
icate
s
th
at
th
e
att
em
p
ted
p
ass
wo
r
d
is
s
ig
n
if
ic
an
tly
s
h
o
r
ter
th
an
th
e
e
x
p
e
cted
o
n
e.
T
h
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
ℎ
,
f
o
r
th
is
liter
al
ca
lcu
lated
as:
ℎ
=
{
−
,
<
0
,
ℎ
−
Ad
eq
u
ate
:
r
ep
r
esen
ts
a
clo
s
e
o
r
ex
ac
t
m
atch
in
len
g
th
b
etwe
en
th
e
attem
p
ted
p
ass
wo
r
d
a
n
d
th
e
ex
p
ec
ted
p
ass
wo
r
d
len
g
th
.
T
h
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
f
o
r
th
is
liter
al
ca
lcu
lated
as:
=
{
,
≤
⬚
1
−
−
,
2
>
>
⬚
0
ℎ
⬚
−
E
x
ce
s
s
iv
e
:
in
d
icate
s
th
at
th
e
attem
p
ted
p
ass
wo
r
d
is
s
ig
n
if
i
ca
n
tly
lo
n
g
er
t
h
an
t
h
e
ex
p
ec
t
ed
len
g
t
h
.
T
h
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
f
o
r
th
is
liter
al
ca
lcu
lated
as:
=
{
1
>
2
⬚
−
,
2
>
>
⬚
0
ℎ
⬚
−
C
h
ar
ac
ter
m
atch
cr
iter
io
n
:
t
h
i
s
m
ea
s
u
r
es
th
e
s
im
ilar
ity
o
f
c
h
ar
ac
ter
s
b
etwe
en
th
e
attem
p
t
ed
p
ass
wo
r
d
an
d
th
e
ex
p
ec
ted
p
ass
wo
r
d
.
T
h
e
ev
alu
atio
n
d
eter
m
in
es
th
e
d
e
g
r
ee
o
f
ch
ar
ac
ter
m
atch
,
f
ac
i
litatin
g
th
e
n
ex
t
s
tag
e
o
f
s
ec
u
r
ity
co
n
tr
o
l.
I
t
is
b
ased
o
n
ca
lcu
latin
g
t
h
e
p
e
r
ce
n
tag
e
o
f
m
atch
in
g
ch
a
r
ac
ter
s
i
n
th
e
attem
p
te
d
p
ass
wo
r
d
co
m
p
ar
ed
to
th
e
to
t
al
n
u
m
b
er
o
f
c
h
ar
ac
ter
s
in
th
e
p
ass
wo
r
d
.
T
h
e
p
r
o
b
a
b
ilit
y
o
f
ch
ar
ac
ter
m
atch
(
)
is
d
eter
m
in
ed
u
s
in
g
th
e
clas
s
ic
f
o
r
m
u
la:
=
Р
=
/
wh
er
e
is
th
e
n
u
m
b
e
r
o
f
m
at
ch
in
g
c
h
ar
ac
ter
s
in
th
e
p
ass
wo
r
d
attem
p
t,
an
d
is
th
e
to
tal
n
u
m
b
e
r
o
f
ch
ar
ac
ter
s
in
th
e
co
r
r
ec
t p
ass
wo
r
d
.
−
Mism
atch
:
I
n
d
icate
s
a
s
ig
n
if
ican
t
d
if
f
er
en
ce
in
ch
ar
ac
ter
s
b
etwe
en
th
e
attem
p
ted
an
d
th
e
ex
p
ec
ted
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d
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−
Fu
ll
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T
h
is
o
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tco
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e
in
d
icate
s
co
m
p
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ap
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−
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−
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.
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ii
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2
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8
8
-
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7
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8
I
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t J E
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&
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p
E
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g
,
Vo
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14
,
No
.
6
,
Dec
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20
24
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6
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itab
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f
o
r
m
o
s
t
I
o
T
e
n
v
ir
o
n
m
en
ts
d
u
e
t
o
th
e
c
o
m
p
lex
it
y
o
f
e
n
cr
y
p
tio
n
a
n
d
d
ec
r
y
p
tio
n
o
p
er
atio
n
s
.
T
h
e
p
r
o
p
o
s
ed
m
eth
o
d
in
clu
d
es
v
ar
io
u
s
s
ec
u
r
ity
m
ec
h
an
is
m
s
to
p
r
o
tect
d
ata
an
d
u
s
es
clu
s
ter
in
g
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ased
o
n
a
n
in
tellig
en
t
alg
o
r
ith
m
,
n
am
ely
f
u
zz
y
l
o
g
ic,
as
well
as
d
ata
en
cr
y
p
tio
n
in
th
e
f
o
r
m
o
f
a
lig
h
tweig
h
t
T
win
e
-
Me
r
s
en
n
e
alg
o
r
ith
m
,
th
e
f
ea
tu
r
e
o
f
wh
ic
h
is
th
e
d
y
n
a
m
ic
g
en
e
r
atio
n
o
f
S
-
b
o
x
es.
Alg
o
r
ith
m
f
o
r
d
y
n
am
ic
g
e
n
er
atio
n
o
f
S
-
b
o
x
es.
Me
r
s
e
n
n
e
T
wis
ter
(
MT
)
is
a
wi
d
ely
u
s
ed
p
s
eu
d
o
r
an
d
o
m
n
u
m
b
er
g
e
n
er
a
to
r
,
an
d
it is
n
am
e
d
af
ter
th
e
Me
r
s
en
n
e
p
r
im
es,
a
class
o
f
p
r
im
e
n
u
m
b
e
r
s
n
am
ed
af
ter
th
e
Fre
n
ch
m
ath
em
atician
Ma
r
in
Me
r
s
en
n
e.
Me
r
s
en
n
e
T
wis
ter
is
k
n
o
w
n
f
o
r
p
r
o
v
id
in
g
a
v
er
y
lo
n
g
p
er
io
d
(
th
e
len
g
th
o
f
th
e
cy
cle
af
ter
wh
ich
th
e
s
eq
u
en
ce
o
f
n
u
m
b
er
s
o
f
r
ep
ea
ts
)
an
d
f
o
r
b
ein
g
f
air
ly
ef
f
icien
t
in
co
m
p
u
tatio
n
.
An
o
th
er
v
er
s
io
n
o
f
th
e
Me
r
s
en
n
e
T
wis
ter
al
g
o
r
ith
m
th
at
is
wid
ely
u
s
ed
in
s
cien
tific
liter
atu
r
e
is
MT
1
9
9
3
7
,
wh
ich
in
d
icate
s
t
h
at
th
e
p
e
r
io
d
is
2
19937
−
1
,
wh
i
ch
is
th
e
p
r
im
e
Me
r
s
en
n
e
n
u
m
b
er
.
T
h
er
e
is
also
a
64
-
b
it v
a
r
ian
t k
n
o
wn
as M
T
1
9
9
3
7
-
64.
Usi
n
g
a
s
h
ar
ed
in
itial
k
ey
,
th
e
s
en
d
er
an
d
r
ec
eiv
er
ca
n
in
d
ep
en
d
e
n
tly
cr
ea
te
a
m
atch
in
g
s
er
ies
o
f
S
-
b
o
x
es,
wh
ich
is
im
p
o
r
tan
t
f
o
r
m
ain
tai
n
in
g
c
o
n
s
is
ten
cy
i
n
cr
y
p
to
g
r
a
p
h
ic
p
r
o
to
c
o
ls
as
s
h
o
wn
in
Fig
u
r
e
4
.
T
h
is
m
eth
o
d
allo
ws
f
o
r
s
ec
u
r
e,
ef
f
icien
t
c
o
m
m
u
n
icatio
n
wi
th
o
u
t
tr
an
s
m
itti
n
g
ac
tu
al
S
-
b
o
x
es,
m
in
im
izin
g
th
e
r
is
k
o
f
in
ter
ce
p
ti
o
n
.
I
t
c
o
m
b
i
n
es
th
e
b
en
ef
its
o
f
r
an
d
o
m
n
e
s
s
f
o
r
s
ec
u
r
ity
with
th
e
d
eter
m
in
is
m
n
ee
d
ed
f
o
r
s
tr
o
n
g
en
cr
y
p
tio
n
a
n
d
d
ec
r
y
p
t
io
n
-
ca
lled
a
d
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u
s
io
n
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er
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E
ac
h
S
-
b
o
x
is
u
n
i
q
u
e
an
d
g
en
e
r
ated
f
r
o
m
d
if
f
er
e
n
t
s
ee
d
s
d
er
iv
ed
f
r
o
m
th
e
Me
r
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en
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T
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ter
,
en
h
an
cin
g
th
e
en
cr
y
p
tio
n
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tr
en
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Fu
r
th
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m
o
r
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th
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lab
le
tech
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iq
u
e
allo
ws
f
o
r
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h
r
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ized
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tio
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tates
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d
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n
ad
ap
t
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s
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r
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ak
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it
h
ig
h
l
y
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r
ac
tical
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o
r
r
ea
l
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ld
a
p
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.
Fig
u
r
e
4
.
T
h
e
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lo
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r
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atin
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S
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s
in
g
th
e
Me
r
s
en
n
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T
wis
ter
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o
r
ith
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B
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ild
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e
Me
r
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en
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e
T
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t
er
MT
1
9
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7
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4
alg
o
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ith
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i
m
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lem
en
tatio
n
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let'
s
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ten
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th
e
u
s
ag
e
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er
ate
S
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o
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E
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h
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o
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en
er
atio
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e
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ased
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n
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n
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s
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d
o
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o
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m
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e
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tr
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ted
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r
o
m
th
e
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in
s
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ce
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wh
ich
is
s
ee
d
ed
in
itially
with
a
s
h
ar
ed
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ey
.
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o
cr
ea
te
an
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-
b
o
x
,
we
u
s
e
an
in
p
u
t
co
u
n
ter
f
r
o
m
0
to
2
5
5
.
T
h
is
ap
p
r
o
ac
h
en
s
u
r
es
b
o
th
th
e
s
en
d
e
r
an
d
r
ec
eiv
er
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o
k
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o
w
th
e
in
itial
s
h
ar
e
d
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ey
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ca
n
g
e
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er
ate
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e
s
am
e
s
eq
u
en
ce
o
f
S
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b
o
x
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d
ep
en
d
en
tly
.
T
h
is
a
lg
o
r
ith
m
d
ef
i
n
es
th
e
Me
r
s
en
n
e
T
wis
ter
class
(
MT
1
9
9
3
7
_
6
4
)
as
a
d
eter
m
in
is
tic
s
h
u
f
f
le
f
u
n
ctio
n
th
at
u
s
es
Me
r
s
en
n
e
T
wi
s
ter
to
s
h
u
f
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le
an
ar
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ay
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d
a
f
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n
ctio
n
to
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r
ea
te
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S
-
b
o
x
(
_
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b
y
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e
n
er
atin
g
a
s
ee
d
f
o
r
th
e
s
h
u
f
f
le
u
s
in
g
th
e
s
h
ar
e
d
k
e
y
.
T
h
e
_
f
u
n
ctio
n
i
n
itializes
a
lis
t
r
ep
r
esen
tin
g
an
8
-
b
it
S
-
b
o
x
,
t
h
en
s
h
u
f
f
les
it
d
eter
m
in
is
tically
u
s
in
g
a
p
s
eu
d
o
-
r
a
n
d
o
m
n
u
m
b
er
as
th
e
s
ee
d
,
en
s
u
r
i
n
g
b
o
th
s
en
d
er
an
d
r
ec
eiv
er
ca
n
g
e
n
er
at
e
th
e
s
am
e
S
-
b
o
x
in
d
ep
en
d
en
tly
as
l
o
n
g
as
th
ey
s
h
ar
e
th
e
in
itial
k
ey
.
T
h
e
T
in
y
Me
r
s
en
n
e
T
wis
ter
(
T
in
y
MT
)
is
a
v
a
r
ian
t
o
f
th
e
o
r
ig
in
al
Me
r
s
en
n
e
T
wis
ter
d
esig
n
ed
f
o
r
ap
p
licatio
n
s
th
at
r
e
q
u
ir
e
s
m
aller
s
tate
s
ize
an
d
m
em
o
r
y
f
o
o
tp
r
in
t.
I
t
was
d
ev
elo
p
ed
to
r
etain
th
e
o
r
ig
in
al
MT
'
s
s
tr
o
n
g
p
s
eu
d
o
-
r
a
n
d
o
m
p
r
o
p
e
r
ties
wh
ile
b
ein
g
b
etter
s
u
ited
f
o
r
u
s
e
in
en
v
ir
o
n
m
e
n
ts
with
lim
ited
r
eso
u
r
ce
s
,
s
u
ch
as
e
m
b
ed
d
e
d
s
y
s
tem
s
o
r
wh
en
h
an
d
lin
g
m
u
ltip
le
s
tr
ea
m
s
o
f
r
an
d
o
m
n
u
m
b
er
s
is
n
ee
d
ed
i
n
Fig
u
r
e
5
.
T
h
is
alg
o
r
ith
m
d
ef
in
es
th
e
T
in
y
MT
6
4
class
,
wh
ich
im
p
lem
en
ts
a
s
im
p
lifie
d
v
er
s
io
n
o
f
th
e
T
in
y
MT
alg
o
r
ith
m
f
o
r
g
e
n
er
atin
g
6
4
-
b
it
p
s
eu
d
o
r
an
d
o
m
n
u
m
b
er
s
.
I
t
in
clu
d
es
a
n
in
itializatio
n
m
eth
o
d
th
at
s
ets u
p
an
i
n
ter
n
al
s
tate
with
a
g
iv
e
n
s
ee
d
an
d
p
r
ed
e
f
in
ed
p
ar
am
et
er
s
.
Fig
u
r
e
5
.
T
h
e
f
lo
wch
a
r
t o
f
g
en
er
atin
g
S
-
b
o
x
es u
s
in
g
th
e
T
i
n
y
MT
alg
o
r
ith
m
T
h
e
_
m
eth
o
d
u
p
d
ates
th
e
g
e
n
er
ato
r
’
s
in
ter
n
al
s
tate,
an
d
_
p
r
o
d
u
ce
s
a
tem
p
er
ed
p
s
eu
d
o
r
an
d
o
m
n
u
m
b
er
f
r
o
m
th
e
cu
r
r
en
t
s
tate.
T
h
e
_
_
f
u
n
ctio
n
d
em
o
n
s
tr
ates
th
e
u
s
e
o
f
T
in
y
MT
to
cr
ea
te
a
s
h
u
f
f
led
S
-
b
o
x
,
wh
ic
h
is
a
k
ey
co
m
p
o
n
e
n
t
in
m
a
n
y
cr
y
p
to
g
r
ap
h
ic
s
y
s
tem
s
,
en
s
u
r
in
g
th
at
a
s
en
d
er
an
d
r
e
ce
iv
er
with
a
s
h
ar
ed
k
ey
ca
n
in
d
ep
en
d
e
n
tly
g
en
e
r
ate
th
e
s
am
e
p
s
eu
d
o
r
a
n
d
o
m
s
eq
u
en
ce
f
o
r
s
ec
u
r
e
c
o
m
m
u
n
icatio
n
o
r
d
ata
en
c
r
y
p
tio
n
.
I
n
s
im
u
latio
n
s
with
m
an
y
in
s
tan
ce
s
o
f
r
an
d
o
m
n
u
m
b
er
g
e
n
er
ato
r
s
(
e.
g
.
,
Mo
n
te
C
ar
lo
s
im
u
latio
n
s
)
,
T
in
y
M
T
'
s
s
m
aller
s
tate
s
ize
allo
w
s
f
o
r
m
o
r
e
ef
f
icien
t
u
s
e
o
f
m
em
o
r
y
.
T
h
is
ca
n
b
e
p
ar
tic
u
lar
ly
b
e
n
ef
icial
in
p
ar
allel
co
m
p
u
tin
g
en
v
ir
o
n
m
e
n
ts
o
r
a
p
p
l
icatio
n
s
r
u
n
n
i
n
g
o
n
GPUs
wh
er
e
m
em
o
r
y
r
eso
u
r
c
es a
r
e
s
h
ar
ed
am
o
n
g
m
a
n
y
th
r
ea
d
s
.
Desp
ite
it
s
s
m
al
ler
s
tate
s
ize,
T
in
y
MT
is
d
esig
n
ed
to
h
av
e
g
o
o
d
s
tatis
tical
p
r
o
p
er
ties
f
o
r
its
o
u
tp
u
ts
,
m
ak
in
g
it
s
u
itab
le
f
o
r
v
ar
i
o
u
s
ap
p
licatio
n
s
,
in
clu
d
in
g
s
im
u
la
tio
n
s
an
d
g
am
es.
Ho
wev
e
r
,
it
i
s
im
p
o
r
tan
t
to
n
o
te
th
at
wh
ile
T
in
y
MT
is
d
esig
n
ed
f
o
r
q
u
ality
o
u
tp
u
ts
,
th
e
s
p
ec
if
ic
r
eq
u
ir
em
e
n
ts
o
f
a
n
ap
p
licatio
n
(
e.
g
.
,
cr
y
p
to
g
r
ap
h
ic
s
ec
u
r
ity
)
s
h
o
u
l
d
g
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ize
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t
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cr
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th
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Me
r
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ith
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ize
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C
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ativ
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m
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Lev
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h
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P
RES
ENT
64
80
32
1
7
3
8
274
M
o
d
e
ra
te
S
imo
n
64
96
42
1
3
7
0
188
M
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ra
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p
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k
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26
2
5
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124
M
o
d
e
ra
te
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IT
64
64
5
826
22
M
o
d
e
ra
te
AES
128
128
10
2
3
0
9
0
720
Hig
h
le
v
e
l
LEA
128
128
24
3
7
0
0
432
Hig
h
le
v
e
l
RC5
64
128
20
2
0
0
4
4
360
M
o
d
e
ra
te
HIG
HT
64
128
32
1
3
4
7
6
288
M
o
d
e
ra
te
Li
g
h
twe
i
g
h
t
e
n
c
ry
p
ti
o
n
a
lg
o
rit
h
m
64
128
9
823
144
Hig
h
le
v
e
l
Twin
e
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1
2
8
64
128
36
414
6
.
7
5
Hig
h
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e
l
Twin
e
-
80
64
80
24
216
5
.
9
3
M
o
d
e
ra
te
Twin
e
-
M
e
rse
n
n
e
-
80
64
80
24
473
1
1
.
4
8
Hig
h
le
v
e
l
T
h
is
f
ea
tu
r
e
is
also
b
en
e
f
icial
f
o
r
d
e
v
ices
with
lim
ited
c
o
m
p
u
tin
g
ca
p
ab
ilit
ies
an
d
th
e
p
r
esen
ce
o
f
d
y
n
am
ic
g
en
e
r
atio
n
o
f
S
-
b
o
x
e
s
m
ak
es
it
an
id
ea
l
ca
n
d
id
ate
f
o
r
d
ep
lo
y
m
en
t
in
th
e
m
o
s
t
v
u
l
n
er
ab
le
n
o
d
e
o
f
th
e
I
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n
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k
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n
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th
e
p
r
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s
p
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t
o
f
d
ev
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p
in
g
t
h
e
T
win
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M
er
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en
n
e
en
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ith
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aim
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en
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m
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cr
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th
e
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n
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/d
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tio
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p
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ce
s
s
es
in
r
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l
tim
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h
e
p
r
o
p
o
s
ed
T
win
e
-
Me
r
s
en
n
e
alg
o
r
ith
m
h
as
1
6
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b
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ch
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Fig
u
r
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T
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p
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o
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en
cr
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o
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ith
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n
Fig
u
r
e
7
T
win
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Me
r
s
en
n
e
,
wh
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h
g
en
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ates
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s
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r
et
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r
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p
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tweig
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t
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An
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ased
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ased
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ates
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u
r
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1
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ase
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ity
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ak
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g
it v
er
s
atile
an
d
attr
ac
tiv
e
to
d
ev
elo
p
er
s
.
Evaluation Warning : The document was created with Spire.PDF for Python.