Examveda

Consider the Quick sort algorithm in which the partitioning procedure splits elements into two sub-arrays and each sub-array contains at least one-fourth of the elements. Let T(n) be the number of comparisons required to sort array of n elements. Then T(n)<=?

A. T(n) <= 2 T(n/4) + cn

B. T(n) <= T(n/4) + T(3n/4) + cn

C. T(n) <= 2 T(3n/4) + cn

D. T(n) <= T(n/3) + T(3n/4) + cn

Answer: Option B


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