DSA · Theory

Difference between big o and big theta and big omega notations

Theory

693/810

Difference between big o and big theta and big omega notations

Priya only reaches for Difference between big o and big theta and big omega notations when n vs n² on 10k rows has to stay correct in a viva.

Difference between big o and big theta and big omega notations on the board: best / average / worst + extra memory. Then say what n vs n² on 10k rows looks like after.

Without Difference between big o and big theta and big omega notations, a viva gets messy and n vs n² on 10k rows is hard to trust.

Use Difference between big o and big theta and big omega notations when n vs n² on 10k rows must stay clear. If a simpler DSA step works, use that instead.

If n vs n² on 10k rows breaks under Difference between big o and big theta and big omega notations, check saying ‘fast’ with no Big-O first.

Difference between big o and big theta and big omega notations is not a lonely heading. Priya ties it to n vs n² on 10k rows.

Viva for Difference between big o and big theta and big omega notations: what it is → best / average / worst + extra memory → the mistake (saying ‘fast’ with no Big-O).

Exam tip

For Difference between big o and big theta and big omega notations: definition + a viva + one failure.

Example

def demo(n):
    # O(1)
    x = n + 1
    # O(n)
    total = sum(range(n))
    # O(n^2)
    pairs = 0
    for i in range(n):
        for j in range(n):
            pairs += 1
    return x, total, pairs

print(demo(3))

Difference between big o and big theta and big omega notations — big-O describes how work grows with input size — ignore constants.

Short notes

DefDifference between big o and big theta and big omega notations — Priya uses it for n vs n² on 10k rows in a viva.
RuleDifference between big o and big theta and big omega notations → best / average / worst + extra memory.
RememberDifference between big o and big theta and big omega notations + time vs memory (a viva).
UseDifference between big o and big theta and big omega notations in a viva (n vs n² on 10k rows).
TrapDifference between big o and big theta and big omega notations — saying ‘fast’ with no Big-O.
ExDifference between big o and big theta and big omega notations → n vs n² on 10k rows.

def demo(n): # O(1) x = n + 1 # O(n) total = sum(range(n)) # O(n^2) pairs = 0 for i in range(n): for j in range(n): pairs += 1 return x, total, pairs print(demo(3))

Difference between big o and big theta and big omega notations

Example

Short notes

Questions

Difference between big o and big theta and big omega notations

Example

Short notes

Questions