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We have an implementation that supports the following operations on a stack (in the instructions below, $\mathsf{s}$ is the name of the stack).

  • $\mathsf{isempty(s)}$ : returns $\mathsf{True}$ if $\mathsf{s}$ is empty, and $\mathsf{False}$ otherwise.
  • $\mathsf{top(s)}$ : returns the top element of the stack, but does not pop the stack; returns $\mathsf{null}$ if the stack is empty.
  • $\mathsf{push(s,x)}$ : places $\mathsf{x}$ on top of the stack.
  • $\mathsf{pop(s)}$ : pops the stack; does nothing if $\mathsf{s}$ is empty.

Consider the following code:

pop_ray_pop(x):
    s=empty
    for i=1 to length(x):
        if (x[i] == '('):
            push(s, x[i])
        else:
            while (top(s)=='('):
                pop(s)
            end while
            push(s, ')')
        end if
    end for
    while not isempty(s):
        print top(s)
        pop(s)
    end while

What is the output of this program when

pop_ray_pop("(((()((())((((")

is executed?

  1. ((((
  2. ))) ((((
  3. )))
  4. (((()))
  5. ()()
asked in DS by Veteran (79.1k points)   | 164 views
what does
s= empty  statement mean ?

4 Answers

+7 votes
Best answer
D option

First push  (((( on stack. Now when ) comes pop all (((( and push ) on stack. Now push ((( and stack become )((( . Now when ) come it pop all ((( from stack and new stack become )). Again ) comes and stack become ))) . Now push (((( on stack and the stack becomes (((())). Now pop one by one and get option D as the answer.
answered by Active (1.3k points)  
selected by
+3 votes
Option D is correct
Whenver  " $ ) $ "  is found pop all  " $ ( $ " from stack .

$\begin{Vmatrix} \\ \\ \\ (\\ ( \\ ( \\ ( \end{Vmatrix}$    $\begin{Vmatrix} \\ \\ \\ (\\ ( \\ ( \\ ) \end{Vmatrix}$      $\begin{Vmatrix} ( \\ ( \\ ( \\ ( \\ ) \\ ) \\ ) \end{Vmatrix}$

Stack Figure 1 :  push $(((($  on $)$ pop  everything and then push $)$
Stack Figure 2 :  push $((($  on $)$ pop  everything and then push $)$
Stack Figure 3 :  push $ )$   and push $ ($
answered by Veteran (21.1k points)  
edited by
+2 votes
D, put proper inntentation to code. will increase readablity and thn can be solved easily.
operations going on -
if  "(" comes push it on stack

if ")" comes pop stack till it does not contain "(" on stack and then push ")"

after that. finally print whole stack.
answered by Veteran (14k points)  
+2 votes
answered by Active (1.4k points)  
brother, a little explanation would work better. : )
Thanks @srestha, :)

Actually, I wanted to tell this brother that please post your ans with little explanation. If he/she does not want to ans or not very sure about ans then write options in the comment.

No offense, please :)
Sure.. will keep that in mind next time! :)


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