Stacks Stack - a collection of ADT objects that stores - - PowerPoint PPT Presentation

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Stacks Stack - a collection of ADT objects that stores - - PowerPoint PPT Presentation

Stacks Stack - a collection of ADT objects that stores Insertions 4 removals follow a n . Last - in - first - out pattern < Basic Operations : ' ' top an element at the inserts push : removes t returns the top .


slide-1
SLIDE 1

Stacks

slide-2
SLIDE 2

Stack

  • ADT

that

stores

a collection of

  • bjects

Insertions 4 removals follow

a n .

Last- in - first - out pattern

< Basic Operations

:

push

:

inserts

an element at the

'

top

'

pop

:

removes t returns the top

. element

'

÷ :

: :*

empty

stack

slide-3
SLIDE 3

Stack

=

  • Convienient but optional operations :

isEmpty

:

check for emptiness

n .

size :

return

#

elements

  • n stack

top

:

return top , but don't remove it

  • Algorithmic applications :

. parsing levaluat.com/transformation of expressions

Ispeach recognition ;

coding(decoding

  • shared

network access control

. → programming languages £ execution
  • Postscript , Forth ,

the call stack

  • things

we do daily with computers

. . .

slide-4
SLIDE 4

Parenthesising

00 ⑨ a

0 0

@ 0

a 0 •

a

a @ eg b @

41441*11

×

Can be done by counting

:

Chill 'D

iciii

1) 111

114

1

2

4 23

2 10

12 I 21

1

01

0 -7

I 0 -1

Checking Multiple Grouping Symbols

:

(4)

1113

llllmn

T

TT

pp

  • Counting is

not

enough

.
slide-5
SLIDE 5

Astack-basedalgorithmforcheckinggroupingsymbubss-ne.no

empty

stack

while

there

are

symbols

to read

C ←

next

symbol

if

e

is

a

left

symbol

push

con

S

else

if

S

is empty

report

error d * pop

S

if

  • c. d

do

not match report

end

while

if

5

is

not

empty

report

error

report

" ok

"

slide-6
SLIDE 6

5tack-partially-tikedArraytmplemewtationkariablesi.FI

  • array of stack elements

'

capacity

  • size of array

top

  • index in array of top stack element
  • -1 if stack

is empty

Alot

irrelevant

A

pacify

  • D

A

I

= !⇐

capacity

= {size of A)

top

= 2

push

e

If

I

A-tT}

=

egg

capacity

= {size of A)

top =3

slide-7
SLIDE 7

Stack : Linked List Implementation

  • t.tot.EDU

3

= ±f

Which end shout

be the top ?

  • push

= insert

at top

  • top

= front of list = normalI linked

list

add - to - front

.

pop

= remove from front

= top .

= normal linked list

remove

  • from - front

i.FI#--GI5.FJ-oIaD-HJ=a

b-

↳ pop → D-④

slide-8
SLIDE 8

staekImplemewtat.cn#

  • In

both

cases ,

push

4

pop

are

constant time

  • perations

( as long

as the

stack does not get

larger

than

the

array ) .

slide-9
SLIDE 9

End