Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Tests > Test: Recurrence & Searching- 1 - Computer Science Engineering (CSE) MCQ

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Test: Recurrence & Searching- 1 - Question 1

The given diagram shows the flowchart for a recursive function

A(n). Assume that all statements, except for the recursive calls, have

O(1) time complexity. If the worst case time complexity of this function is

O(n^{α}) then the least possible value (accurate up to two decimal positions) of

α is ________.

Flow chart for Recursive Function A(n).

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Test: Recurrence & Searching- 1 - Question 2

The recurrence relation that arises in relation with the complexity of binary search is:

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Test: Recurrence & Searching- 1 - Question 3

The recurrence relation

has the solution T (n) equal to

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Test: Recurrence & Searching- 1 - Question 4

Let

T(n) be the function defined by

Which of the following statements is true?

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Test: Recurrence & Searching- 1 - Question 6

The running time of the following algorithm

Procedure A(n)

If n<=2 return (1) else return

is best described by:

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Test: Recurrence & Searching- 1 - Question 9

Consider a list of recursive algorithms and a list of recurrence relations as shown below. Each recurrence relation corresponds to exactly one algorithm and is used to derive the time complexity of the algorithm.

Which of the following is the correct match between the algorithms and their recurrence relations?

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Test: Recurrence & Searching- 1 - Question 10

Let T(N) be a function defined by the recurrence

Which of the following statements is TRUE?

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