CS502 Midterm Online Quiz

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CS502-Midterm

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What is the solution to the recurrence T(n) = T(n/2)+n .

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The function f(n)= n(logn+1)/2 is asymptotically equivalent to n log n. Here Upper Bound means the function f(n) grows asymptotically ____________ faster than n log n.

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In Heap Sort algorithm, the maximum levels an element can move upward is _________

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How many elements do we eliminate in each time for the Analysis of Selection algorithm?

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Divide-and-conquer as breaking the problem into a small number of

6 / 50

The ancient Roman politicians understood an important principle of good algorithm design that is plan-sweep algorithm.

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In which order we can sort?

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For the Sieve Technique we take time

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Upper bound requires that there exist positive constants c2 and n0 such that f(n) ____ c2n for all n <= n0(ye question ghalat lag raha hai mujhae

10 / 50

Floor and ceiling are ____________ to calculate while analyzing algorithms.

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In Sieve Technique we do not know which item is of interest

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In addition to passing in the array itself to Merge Sort algorithm, we will pass in _________other arguments which are indices.

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In selection algorithm, because we eliminate a constant fraction of the array with each phase, we get the

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A point p in 2-dimensional space is usually given by its integer coordinate(s)____________

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What type of instructions Random Access Machine (RAM) can execute?

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F (n) and g (n) are asymptotically equivalent. This means that they have essentially the same __________ for large n.

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In Heap Sort algorithm, if heap property is violated _________

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The sieve technique works in ___________ as follows

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Algorithm analysts know for sure about efficient solutions for NP-complete problems.

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Which may be stable sort:

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_________ is one of the few problems, where provable lower bounds exist on how fast we can sort.

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Sieve Technique applies to problems where we are interested in finding a single item

from a larger set of _____________

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_______________ is a graphical representation of an algorithm

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A RAM is an idealized algorithm with takes an infinitely large random-access memory.

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Before sweeping a vertical line in plane sweep approach, in start sorting of the points is done in increasing order of their _______coordinates.

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What type of instructions Random Access Machine (RAM) can execute? Choose best answer

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Cont sort is suitable to sort the elements in range 1 to k

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In analysis, the Upper Bound means the function grows asymptotically no faster than its largest term.

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In Heap Sort algorithm, we build _______ for ascending sort.

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One of the clever aspects of heaps is that they can be stored in arrays without using any _______________.

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Quick sort is best from the perspective of Locality of reference.

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For the heap sort we store the tree nodes in

33 / 50

Due to left complete nature of binary tree, the heap can be stored in

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An algorithm is a mathematical entity that is dependent on a specific programming language.

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The reason for introducing Sieve Technique algorithm is that it illustrates a very important special case of,

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We cannot make any significant improvement in the running time which is better than that of brute-force algorithm.

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In analysis of f (n) =n (n/5) +n-10 log n, f (n) is asymptotically equivalent to ________.

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The analysis of Selection algorithm shows the total running time is indeed ________in n,

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In analysis, the Lower Bound means the function grows asymptotically at least as fast as its largest term.

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While solving Selection problem, in Sieve technique we partition input data __________w

41 / 50

Brute-force algorithm uses no intelligence in pruning out decisions.

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In ____________ we have to find rank of an element from given input.

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Quick sort is based on divide and conquer paradigm; we divide the problem on base of pivot element and:

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One Example of in place but not stable sort is

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The sieve technique is a special case, where the number of sub problems is just

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The sieve technique works where we have to find _________ item(s) from a large input.

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In Sieve Technique we do not know which item is of interest

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The number of nodes in a complete binary tree of height h is

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Sorting can be in _________

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Efficient algorithm requires less computational…….

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