# Stack [CO1]

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Stack [CO1]
1. Parenthesis Balancing:
Your younger sister is learning arithmetics and came across several types of
parentheses for the first time. She finds them pretty exciting and proceeds to put as
much parenthesis as she wants in a mathematical statement. She came to show you
her statements and after watching lots of parentheses here and there, you decided
to write a program that checks whether the parentheses are maintained properly,
that is ,the pairs and the orders of parentheses are balanced in expression or not.
You need to solve the above problem using Stack class. You cannot use other
methods than pop(), peek(), push(), isEmpty() methods of Stack.
Sample Input String Sample Output
1+2*[3*3+{4–5(6(7/8/9)+10)–11+(12*8)]+14 Unbalanced
([A+B]-C)/{D*E}+[2*[(2A+5){5B}]-{7C-9AB}] Balanced
(A+B)-C) Unbalanced
[10*[3-(5-2)] Unbalanced
2. Black Diamond:
Faisal is working in a diamond mine, trying to extract the highest number of
diamonds “< >”. A “<” followed by “>” forms one new diamond. He must
exclude all the sand particles found (denoted by “.”) and unpaired “<”, “>” in
this process to extract new diamonds.
You need to solve the above problem using Stack class. You cannot use other
methods than pop(), peek(), push(), isEmpty() methods of Stack.
Complete the function count_diamond which will take an object of Stack and a
string and then return the number of diamonds that can be extracted using the
mentioned process.
Sample Input String Sample Output
.<…<<..>>….>….>>>. 3
<<<..<……<<<<….> 1
<..><.<..>> 3
Explanation:
For an input “.<…<<..>>….>….>>>.” three diamonds are formed. The first is taken
from <..> resulting “.<…<>….>….>>>.” The second diamond <> is then removed,
leaving “.<…….>….>>>.” The third diamond <> is then removed, leaving at the
end “…..>>>.” without the possibility of extracting new diamonds. Hence, 3
diamonds have been extracted.
BONUS QUESTION:
3. Tower of God:
A kid is trying to make a tower using blocks with numbers or characters written on
them. He puts a block on the top of another to make the tower. As for removing
the blocks, he removes the topmost block if needed. He is afraid that removing
other blocks from the middle in one go will result in the collapse of his tower.
Now his friend wants your nth block from the top of your tower. He is willing to
give him the nth block from the top, preserving the relative position of others.
Following his tower build process ,solve this scenario using Stack class. You can
only use the stack methods.
In the examples, consider the rightmost element to be the topmost element.
Sample Tower Sample Output Explanation
Stack: 4 19 23 17 5
n: 2
Stack: 4 19 23 5 In this tower, the 2nd block
from the top is the block with
17. After removing the block
the stack looks like 4 19 23 5
Stack: 73 85 15 41
n: 3
Stack: 73 15 41 In this tower, the 3rd block
from the top is the block with
85. After removing the block
the stack looks like 73 15 41

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