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DSA · Theory

Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations

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Theory

802/810

Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations

Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations is a DSA topic. In plain words you use it for n vs n² on 10k rows in a viva. Don’t start with a slogan — start with that picture.

Smallest example: best / average / worst + extra memory. Type it, run it, and say what you see. If you can do that from memory, you know Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations.

From the example next to this theory: Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations: dry-run [4, 1, 3].

Trap — saying ‘fast’ with no Big-O. Fix that before you talk about advanced DSA.

Viva: what is Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations? Then show best / average / worst + extra memory. Then name the trap.

Exam tip

What is Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations? Show this: best / average / worst + extra memory. Trap: saying ‘fast’ with no Big-O.

Example

# Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations
data = [4, 1, 3]
print("start", data)
if data[0] > data[1]:
    data[0], data[1] = data[1], data[0]
print("after one step", data)

Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefDifference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations — n vs n² on 10k rows in a viva.
  • Rulebest / average / worst + extra memory
  • Trapsaying ‘fast’ with no Big-O
  • Usea viva

Questions

1

What is Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations?

2

Give one small example of Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations.

3

What mistake do beginners make with Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations?

4

Where do you use Difference Between Big-O, Theta (Ɵ), and Big Omega (Ω) Notations?

802 / 810

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