Following is an incorrect pseudocode for the algorithm which is supposed to determine whether a sequence of parentheses is balanced:

its answer is :- ( ( ( ) )

i think its answer is ( ( ) ) ) ( )

Hello @anshulgurawalia about which code you are talking?

i think we have to refer this code : -

declare a character stack 
while ( more input is available)
{
   read a character
   if ( the character is a '(' ) 
      push it on the stack
   else if ( the character is a ')' and the stack is not empty )
      pop a character off the stack
   else
      print "unbalanced" and exit
 }
 print "balanced"

@anshulgurawalia the code will print if the sequence is balanced or not how are you saying answer should be this?
i think its answer is ( ( ) ) ) ( )

i got it now i am calculating the answer on the behalf of another code which we learned will implementing stack

please consider one more ques :-
Let Q denote a queue containing sixteen numbers and S be an empty stack. Head(Q) returns the element at the head of the queue Q without removing it from Q. Similarly Top(S) returns the element at the top of S without removing it from S. Consider the algorithm given below.

while Q is not empty do {
  if S is empty OR Top(S)<= Head(Q) then {
     x = Dequeue(Q)
     Push(S, x)
  } else {
     x = Pop(S)
    Enqueue(Q,x)
  }
}

16

32

64

256

The maximum possible number of iterations of the while loop in the algorithm is

@anshulgurawalia for this you can check this:
The worst case happens when the queue is sorted in decreasing order. In worst case, loop runs n*n times.

Queue: 4 3 2 1
Stack: Empty

3 2 1
4

3 2 1 4
Empty

2 1 4
3

2 1 4 3
Empty

1 4 3
2

1 4 3 2
Empty

4 3 2
1

3 2
1 4

3 2 4
1

2 4
1 3

2 4 3
1

4 3
1 2

3
1 2 4

3 4
1 2

4
1 2 3

Empty
1 2 3 4