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76. Find a solution to the following recurrence equation T(n) = T(n/2) + n T(1) = 1
O(n)
O(n2)
Ω(n2)
Ω(n3)
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77. The recurrence relation T(1) = 2 T(n) = 3T(n/4) + n Has the solution T(n) equal to
O(log n)
O(n3/4)
None of these
78. Let T(n) be the function defined by T(1) = 1, for n ≥ 2. Which of the following statements is true?
T(n) = O(√n)
T(n) = O(n)
T(n) = O(logn)
79. A sorting technique is called stable if
it takes O(nlogn) time
it maintains the relative order of occurrence of non-distinct elements
it uses divide and conquer paradigm
it takes O(n) space
80. Randomized quicksort is an extension of quicksort where the pivot is chosen randomly. What is the worst case complexity of sorting n numbers using randomized quicksort?
(n log n)
O(n!)
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