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Data
Structure and Algorlhmic
Puzzles
CareetMonk Publications

Data Structures
And
Algorithmic
Thinking With Python
By
Narasimha Karumanchi

Cop
y
ri
g
ht
(\.'
2016
by
CareerMonk.
com
All
rig
hts
reserved.
D
es
ign
ed by N
arasimha
K
arumanchi
Copy
righ t" 201 6
Ca
r
e::c
rM
o
nk
Publi
ca
tio ns.
Al
l rig
hl
s r
csc
1-v
e
d.
All
i-i
g
hL
s r
cse
1-vcd. No
pu
rt
of
t
hi
s
boo
k m
ay
be re
produc
ed in
an
y form or
by
a ny el
ec
tr
onic or m
ec
ha ni
ca
l
m
ea
n
s,
in
c
lu
di
ng
i
nf
o
rm
ati
on
storage
and
r
et
ri
ev
al
syst
em s,
withou
t \vriLten pe
rmi
ss
ion
fr
om Lhe p
ub
lisher 01·
auth
or.

Acknowledgements
Mother
a
nd
Father,
it is
impossibl
e
lo
thunk
you
adequately
for c
verylhing
you
have
clone, from loving
me
un
co
ndition
a
ll
y
to
raising
me
in a
stable
household,
where
your
persistent
efforts
and
Lraditional va lu
es
taughl
your
c
hildren
lo
celebrate
and
em
brace
life. I
cou
ld
nol
have
asked
for
better
parents
or
role-models
. You
s
how
ed
me
that
anything
is
possible
with
faith,
hard
work
and
determination.
This
book
would
not
have
been
possible
without
the
help
of
many
people.
I
would
l
ike
to
exp
ress
my
gratitude
to
all
of
the
people
who
provided
supporl,
talked
things
ove
r,
read,
wrote,
offered
comments,
allowed
me
to
quote
their
remarks
and
assisted
in
the
editing,
proofreading
and
design.
In
particular,
I
would
lik
e
to
thank
the
following
individu
a ls:
Mohan Mullapu<ii, llT
Bombay,
Architect
,
dataRPM
Pvl. Ltd.
Navin
Kumar
jaiswal,
Se
nior
Consu
l
tant,
Junip
er
Networks
lnc.
A.
Vamshi
Krishna,
llT
Kanpur,
Menlor
Graphics
I
nc.
CadJY
Reed,
BA,
MA,
Copy
Ed
itor
Kondrakunta
Murali
Krishna,
8-Tech.,
Technical
Lead,
HCL
Pro{.
Girish
P.Saraplt,
Pou11der,
Vegayan Systems,
/IT
Bombay
Kisltor·e
Kumar
jinka,
llT
Bombay
Prof.
I/
sin
-
mu
T
sai,
National
Taiwan
University,
Taiwan
Prof.
Chintapalli
Sob/l(m /Jabu.
/IT,
llyderabad
Prof.Meda
Sreenivasa Rao,
}NTU,
Ilydera/Jad
L
as
t
bul
not
least,
I
would
like
to
thank
the
/Jir
ectors
of
Guntur
Vilw.s College,
Prof.
Y.
V.
Gopala
Krishna
Murlhy
&,
Pr·of
.
Ay11b
/(han I
ACH
l:"n9in
eering
Academyl, T.U.C.13ose
[H
x.
Director
of
APTran
scol,
Ch
.
VenkateswaraRao
VNU
Vi,q11mwjyothi IEngineerin.<J College,
llyd
era/Jadl, Cit. V
e11kata
Narasaiah
lll'SI
,
Yarapalhineni
l.uks
lmwiah
[Mancltikallu,
Gurazalal,
&
all
our
well
-
wishers
for
helping
me
nnd
my
f
am
il
y
during
our
studies.
-
Narasimha
Karumanchi
M-Tech,
/IT
l1ombay
Founder,
CareerMonk
.com

Preface
De
ar
R
eader,
Pl
ease
hold
on! I
know
muny
peop
le typically
do
not
read
the
Preface
or
a book.
But
I
strongly
recommend
that
you
read
this
particular
Prefocc.
Th
e
srudy
of
algorithms
and
data
structures
is
central
to
understanding
what
computer
science
is
all
about.
Learning
computer
science
is
not
unlike
learning
any
other
type
of
difficult
subject
matter.
The
only
way
to
be
successful
is
through
deliberate
and
incremental
exposure
to
the
fundamental
ideas.
A
beginning
computer
scientist
needs
practice
so
thlll
there
is
a
thorough
unde
r
standing
before
continuing
on
to
the
more
complex
parts
of
the
curriculum.
In ndclition, a
beginner
needs
lo
be given
the
opportunity
to be
successful
and
gain
co
nliden
cc
.
This
textbook
is
designed
lo
serve
as
n text for
11
lirst
co
ur
se
on
daln
structures
irnd
a l
gorithms.
In
I
his
book,
we
cover
abstract
datn
lypes
a
nd
d
atn
sl
ru
ct
urcs
,
writing
algorithm:>,
and
so
l
ving
probl
ems.
We
lo
ok
a l o
number
or
d
ata
st
ru
c
tL1rcs
uncl
so
lve
classic
probh;m::i
that
a
ris
e.
The
tools
nnd
t
ec
hniqu
es
that
you
lcnrn
hcrc
will be applied
over
an
d over
as
yo
u
co
n
tinue
you
r s
tud
y
of
co
mputer
sc
i
ence.
It is
not
the
m
ain
objective
of
this
book
to
present
you
with
the
theorems
and
proofs
on
data
strnctures
and
ul.qorithms.
I
have
followed a
pattern
of
improving
the
prob
l
em
solutions
with
different
complexities
(for
each
problem,
you
will find
multiple
solutions
with
different,
and
reduced,
complexities). Basically,
it's
an
enumeration
of
possible
solutions.
With
this
approach,
even
if
you
get
a
new
question,
it will
show
you
o wuy
to
thi11J.:
about
the
possible
solutions.
You will lind
this
book
useful
for
interview
prepnrution,
competitive
cxams
preparation,
and
campu::; interview
preparations.
As a
job
seeker,
if
you
reud
the
com
plete
book
, I
am
sure
you
will
be
ab
le
to
cha
ll
enge
the
incerviewcrs. If
yo
u
read
it
as
an
instructor
,
it
will
help
yo
u to deliver
lect
ur
es
with
a n a
pproach
thal
is
easy
to
fo
ll
ow
, a
nd
as
a
result
yo
ur
st
ud
en
ts
will
apprec
i
ate
the
fact
that
th
ey h
ave
opted
for
Computer
Sc
i
ence
/
Inform
at
ion
Techn
ology
as
th
eir degree.
This
book
is
also
useful
for
Rngineering
de,qr<!e
stude1Hs
and
Mast
e
rs
degree
sL11
d
e11ts
during
their
academic
preparations.
Jn a
ll
the
chapters
you
will
sec
that
there
is
more
emphasis
on
problems
and
their
analysis
rather
than
on
theory.
In
each
chapter,
you
will
lirsl
rend
about
the
basic
required
theory,
which
is
then
followed by a
section
on
problem
sets.
In
total
,
there
arc
approximately
700
algorithmic
problems,
all
with
solutions.
If
you
read
the
book
as
a
swdenL
preparing
for
competitive
exams
for
Computer
Scie
nc
e I In
formation
Technology,
the
content
covers
nil
the
required
topics
in
full
detail.
While
writing
this
book,
my
main
focus
was
to
help
students
who
arc
preparing
fo
r
the
se
e
xam
s.
In
o
il
I he
chapters
you
will
sec
more e
mph
as
is
on
problems
nnd
a
na
l
ysis
rather
th
on
on
theory
. In
eac
h ch
opter,
yo
u will lirst
see
the
basi
c
requir
ed
theory
foll
owed by
vur
i
ous
problems.
ror
many
pr
ob
l
ems,
11111/tipl
e
so
l
utions
arc providccl wi
th
different
l
ev<.:l::i
of
co
mpl
ex
it
y. We
st.art
with
tht•
/Jrute
force
solution
and
s l
ow
ly
m<>vc
toward
the
lwsl
.
rn/11tic111
poss
ible for
thnt
problem.
Por
each
prob
l
em,
we
endeavor
to
underslancl
how
much
time
the
algorithm
LHkes
and
how
much
memory
the
a lgori
thm
uses.
It
is
recommended
that
the
reader
docs
at
least
one
co111p/ece
reading
of
this
book
to
gain
a full
understanding
of
all
the
topics
that
are
covered.
Then,
in
subsequent
readings
you
can
skip
directly
to
any
chapter
to
refer
to
a
specific
topic.
Even
though
m
any
r
eadings
have
been
clone for
the
purpose
of
correcting
errors,
there
could
still
be
some
minor
typos
in
the
book.
If
any
arc
found,
they
will
be
updated
at
www.CareerMonk.com.
You
can
monitor
this
site
for
any
cor
re
ct
ions
and
also
for
new
problems
and
solut
i
ons.
Also,
please
provi
de
your
valuable
sugges
tions
al
: /11{o@C11recrM c
111k
.c
m11
.
I
wish
yo
u n
ll
th
e
best
a
nd
I
am
co
nl1de111
thntyou
will find this
book
u
sef
ul.
-
Narasimha
Kcir11111w1chi
M-Tech,
/IT
Bombay
Founder,
CareerM011k.com
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