High Stack Question 155 of 224

How do you evaluate an arithmetic expression string with +, -, parentheses, and spaces?

DSA interview set · Speak this in 60–90 seconds · Faridabad & Delhi NCR

PICTURE THIS: STACK VS QUEUE

StackLIFOlast in, first out
QueueFIFOfirst in, first out

Simple meaning

Scan digits into a number, apply + or - on the running sign, and on '(' push (result, sign) then reset

1

WHY — Stack instead of guessing?

Why interviewers care about Stack:

This is a process

question about Stack.

Panels listen for order,

trade-offs, and what you would actually do on a DSA project - not buzzwords.

Stay structured

Name the idea, why it exists, then one short example.

Close cleanly

End with when you use it and one common pitfall.

2

STEPS — What happens step by step?

Before you speak the answer, walk the interviewer through these steps:

  1. 1
    Scan digits into a

    number, apply + or - on the running sign, and on '(' push (result, sign) then reset

  2. 2
    Why it exists

    on ')' pop and combine.

  3. 3
    Time is O(n) and

    space is O(n) for nesting depth.

  4. 4
    A recursive descent parse

    is equivalent and also O(n).

  5. 5
    Common mistake

    What juniors usually get wrong.

  6. 6
    Close

    When you pick this over the alternative.

3

EXAMPLE — See it in action

Here's a short line you can speak, broken into clear beats:

Say this line
“Time is O(n) and space is O(n) for nesting depth.”
Break into beats
TimeisOnandspace
Speaking order
2987408337471632900

Note: Adapt this scaffold to your own project — keep it under 60–90 seconds.

Key takeaway

Scan digits into a number, apply + or - on the running sign, and on '(' push (result, sign) then reset on ')' pop and combine.

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