How do you evaluate an arithmetic expression string with +, -, parentheses, and spaces?
PICTURE THIS: STACK VS QUEUE
Simple meaning
Scan digits into a number, apply + or - on the running sign, and on '(' push (result, sign) then reset
WHY — Stack instead of guessing?
Why interviewers care about Stack:
question about Stack.
trade-offs, and what you would actually do on a DSA project - not buzzwords.
Name the idea, why it exists, then one short example.
End with when you use it and one common pitfall.
STEPS — What happens step by step?
Before you speak the answer, walk the interviewer through these steps:
- 1Scan digits into a
number, apply + or - on the running sign, and on '(' push (result, sign) then reset
- 2Why it exists
on ')' pop and combine.
- 3Time is O(n) and
space is O(n) for nesting depth.
- 4A recursive descent parse
is equivalent and also O(n).
- 5Common mistake
What juniors usually get wrong.
- 6Close
When you pick this over the alternative.
EXAMPLE — See it in action
Here's a short line you can speak, broken into clear beats:
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.