CUET PG 2026 — DSA PYQ

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Question

CUET PG 2026 — DSA PYQ

CUET PG | DSA | 2026

Assertion (A): Amortized time complexity represents the average-case running time over randomized inputs.

Reason (R): Amortized analysis evaluates the worst-case performance across a sequence of operations rather than the probability distribution of input data.

Choose the correct answer:

Explanation

Analysis of Assertion (A):
- Amortized analysis is not average-case analysis over randomized inputs or probabilistic distributions.
- Average-case complexity relies on probability distributions over possible inputs.
- In contrast, amortized analysis guarantees the average time per operation in the worst-case sequence of operations, independent of input randomness.
- Therefore, Assertion (A) is False.
Analysis of Reason (R):
- Amortized analysis considers a sequence of $n$ operations performed on a data structure and calculates the maximum total time taken over all possible sequences, divided by $n$ .
- It evaluates worst-case sequence performance without assuming any probability distribution over the inputs.
- Therefore, Reason (R) is True.