Match List I with List II. List I A. Parallel FFT B. Iterative FFT C.…

2023

Match List I with List II.

List I
A. Parallel FFT
B. Iterative FFT
C. Evaluation of a polynomial at n points by Horner method
D. Product of two polynomials in point-value form

List II
I. θ(n log n)
II. θ(log n)
III. θ(n²)
IV. θ(n)

Choose the correct answer from the options given below:

  1. A.

    A-III B-I C-II D-IV

  2. B.

    A-II B-I C-III D-IV

  3. C.

    A-III B-IV C-I D-II

  4. D.

    A-II B-III C-IV D-I

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Correct answer: B

Parallel FFT runs in θ(log n) time, matching item II. Iterative FFT takes θ(n log n), matching item I. Evaluating a polynomial at n points using Horner's method takes θ(n²), matching item III. Multiplying two polynomials in point-value form requires θ(n), matching item IV. Therefore, the correct matching is A-II, B-I, C-III, and D-IV.

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